0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.31 % Computer : n016.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 08:21:35 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.38 % 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 3.20/3.37 % Time limit reached! 3.20/3.37 % ------------------------------ 3.20/3.37 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.20/3.37 % Termination reason: Time limit 3.20/3.37 % Termination phase: Saturation 3.20/3.37 3.20/3.37 % Memory used [KB]: 55905 3.20/3.37 % Time elapsed: 3.0000 s 3.20/3.37 % ------------------------------ 3.20/3.37 % ------------------------------ 3.22/3.44 % 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 6.29/6.44 % Time limit reached! 6.29/6.44 % ------------------------------ 6.29/6.44 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.29/6.44 % Termination reason: Time limit 6.29/6.44 % Termination phase: Saturation 6.29/6.44 6.29/6.44 % Memory used [KB]: 90574 6.29/6.44 % Time elapsed: 3.0000 s 6.29/6.44 % ------------------------------ 6.29/6.44 % ------------------------------ 6.29/6.48 % 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 6.32/6.51 % Refutation not found, incomplete strategy 6.32/6.51 % ------------------------------ 6.32/6.51 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.32/6.51 % Termination reason: Refutation not found, incomplete strategy 6.32/6.51 6.32/6.51 % Memory used [KB]: 767 6.32/6.51 % Time elapsed: 0.037 s 6.32/6.51 % ------------------------------ 6.32/6.51 % ------------------------------ 6.32/6.55 % 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 10.28/10.44 % Time limit reached! 10.28/10.44 % ------------------------------ 10.28/10.44 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 10.28/10.44 % Termination reason: Time limit 10.28/10.44 % Termination phase: Saturation 10.28/10.44 10.28/10.44 % Memory used [KB]: 32877 10.28/10.44 % Time elapsed: 3.900 s 10.28/10.44 % ------------------------------ 10.28/10.44 % ------------------------------ 10.36/10.48 % 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 18.15/18.18 % Time limit reached! 18.15/18.18 % ------------------------------ 18.15/18.18 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 18.15/18.18 % Termination reason: Time limit 18.15/18.18 % Termination phase: Saturation 18.15/18.18 18.15/18.18 % Memory used [KB]: 29295 18.15/18.18 % Time elapsed: 7.700 s 18.15/18.18 % ------------------------------ 18.15/18.18 % ------------------------------ 18.15/18.22 % 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 19.95/20.02 % Time limit reached! 19.95/20.02 % ------------------------------ 19.95/20.02 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 19.95/20.02 % Termination reason: Time limit 19.95/20.02 % Termination phase: Saturation 19.95/20.02 19.95/20.02 % Memory used [KB]: 60766 19.95/20.02 % Time elapsed: 1.800 s 19.95/20.02 % ------------------------------ 19.95/20.02 % ------------------------------ 20.02/20.08 % 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 20.63/20.68 % Time limit reached! 20.63/20.68 % ------------------------------ 20.63/20.68 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 20.63/20.68 % Termination reason: Time limit 20.63/20.68 % Termination phase: Saturation 20.63/20.68 20.63/20.68 % Memory used [KB]: 12665 20.63/20.68 % Time elapsed: 0.600 s 20.63/20.68 % ------------------------------ 20.63/20.68 % ------------------------------ 20.68/20.74 % 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 21.79/21.84 % Time limit reached! 21.79/21.84 % ------------------------------ 21.79/21.84 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 21.79/21.84 % Termination reason: Time limit 21.79/21.84 % Termination phase: Saturation 21.79/21.84 21.79/21.84 % Memory used [KB]: 39530 21.79/21.84 % Time elapsed: 1.100 s 21.79/21.84 % ------------------------------ 21.79/21.84 % ------------------------------ 21.85/21.88 % 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 23.56/23.58 % Time limit reached! 23.56/23.58 % ------------------------------ 23.56/23.58 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 23.56/23.58 % Termination reason: Time limit 23.56/23.58 % Termination phase: Saturation 23.56/23.58 23.56/23.58 % Memory used [KB]: 10874 23.56/23.58 % Time elapsed: 1.700 s 23.56/23.58 % ------------------------------ 23.56/23.58 % ------------------------------ 23.56/23.61 % 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 43.15/43.01 % Time limit reached! 43.15/43.01 % ------------------------------ 43.15/43.01 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 43.15/43.01 % Termination reason: Time limit 43.15/43.01 % Termination phase: Saturation 43.15/43.01 43.15/43.01 % Memory used [KB]: 121405 43.15/43.01 % Time elapsed: 19.400 s 43.15/43.01 % ------------------------------ 43.15/43.01 % ------------------------------ 43.20/43.08 % 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 43.20/43.58 % Time limit reached! 43.20/43.58 % ------------------------------ 43.20/43.58 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 43.20/43.58 % Termination reason: Time limit 43.20/43.58 % Termination phase: Saturation 43.20/43.58 43.20/43.58 % Memory used [KB]: 6780 43.20/43.58 % Time elapsed: 0.500 s 43.20/43.58 % ------------------------------ 43.20/43.58 % ------------------------------ 43.76/43.61 % 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 43.76/43.63 % Refutation not found, incomplete strategy 43.76/43.63 % ------------------------------ 43.76/43.63 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 43.76/43.63 % Termination reason: Refutation not found, incomplete strategy 43.76/43.63 43.76/43.63 % Memory used [KB]: 5628 43.76/43.63 % Time elapsed: 0.015 s 43.76/43.63 % ------------------------------ 43.76/43.63 % ------------------------------ 43.80/43.67 % 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 44.72/44.57 % Time limit reached! 44.72/44.57 % ------------------------------ 44.72/44.57 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 44.72/44.57 % Termination reason: Time limit 44.72/44.57 % Termination phase: Saturation 44.72/44.57 44.72/44.57 % Memory used [KB]: 18677 44.72/44.57 % Time elapsed: 0.900 s 44.72/44.57 % ------------------------------ 44.72/44.57 % ------------------------------ 44.76/44.63 % 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 45.80/45.63 % Time limit reached! 45.80/45.63 % ------------------------------ 45.80/45.63 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 45.80/45.63 % Termination reason: Time limit 45.80/45.63 % Termination phase: Saturation 45.80/45.63 45.80/45.63 % Memory used [KB]: 6140 45.80/45.63 % Time elapsed: 1.0000 s 45.80/45.63 % ------------------------------ 45.80/45.63 % ------------------------------ 45.80/45.69 % 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 47.18/46.99 % Time limit reached! 47.18/46.99 % ------------------------------ 47.18/46.99 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 47.18/46.99 % Termination reason: Time limit 47.18/46.99 % Termination phase: Saturation 47.18/46.99 47.18/46.99 % Memory used [KB]: 33517 47.18/46.99 % Time elapsed: 1.300 s 47.18/46.99 % ------------------------------ 47.18/46.99 % ------------------------------ 47.18/47.03 % 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 48.22/48.03 % Time limit reached! 48.22/48.03 % ------------------------------ 48.22/48.03 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 48.22/48.03 % Termination reason: Time limit 48.22/48.03 % Termination phase: Saturation 48.22/48.03 48.22/48.03 % Memory used [KB]: 11129 48.22/48.03 % Time elapsed: 1.0000 s 48.22/48.03 % ------------------------------ 48.22/48.03 % ------------------------------ 48.23/48.07 % 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 48.83/48.67 % Time limit reached! 48.83/48.67 % ------------------------------ 48.83/48.67 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 48.83/48.67 % Termination reason: Time limit 48.83/48.67 % Termination phase: Saturation 48.83/48.67 48.83/48.67 % Memory used [KB]: 6652 48.83/48.67 % Time elapsed: 0.600 s 48.83/48.67 % ------------------------------ 48.83/48.67 % ------------------------------ 48.83/48.70 % 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 48.91/48.74 % Refutation not found, incomplete strategy 48.91/48.74 % ------------------------------ 48.91/48.74 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 48.91/48.74 % Termination reason: Refutation not found, incomplete strategy 48.91/48.74 48.91/48.74 % Memory used [KB]: 5373 48.91/48.74 % Time elapsed: 0.039 s 48.91/48.74 % ------------------------------ 48.91/48.74 % ------------------------------ 48.91/48.77 % 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 51.89/51.67 % Time limit reached! 51.89/51.67 % ------------------------------ 51.89/51.67 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 51.89/51.67 % Termination reason: Time limit 51.89/51.67 % Termination phase: Saturation 51.89/51.67 51.89/51.67 % Memory used [KB]: 50020 51.89/51.67 % Time elapsed: 2.900 s 51.89/51.67 % ------------------------------ 51.89/51.67 % ------------------------------ 51.92/51.73 % 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 55.84/55.63 % Time limit reached! 55.84/55.63 % ------------------------------ 55.84/55.63 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 55.84/55.63 % Termination reason: Time limit 55.84/55.63 % Termination phase: Saturation 55.84/55.63 55.84/55.63 % Memory used [KB]: 32877 55.84/55.63 % Time elapsed: 3.900 s 55.84/55.63 % ------------------------------ 55.84/55.63 % ------------------------------ 55.84/55.67 % 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 56.77/56.57 % Time limit reached! 56.77/56.57 % ------------------------------ 56.77/56.57 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 56.77/56.57 % Termination reason: Time limit 56.77/56.57 % Termination phase: Saturation 56.77/56.57 56.77/56.57 % Memory used [KB]: 12792 56.77/56.57 % Time elapsed: 0.900 s 56.77/56.57 % ------------------------------ 56.77/56.57 % ------------------------------ 56.84/56.63 % 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 57.37/57.13 % Time limit reached! 57.37/57.13 % ------------------------------ 57.37/57.13 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 57.37/57.13 % Termination reason: Time limit 57.37/57.13 % Termination phase: Saturation 57.37/57.13 57.37/57.13 % Memory used [KB]: 25074 57.37/57.13 % Time elapsed: 0.500 s 57.37/57.13 % ------------------------------ 57.37/57.13 % ------------------------------ 57.40/57.16 % 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 91.65/91.15 % Time limit reached! 91.65/91.15 % ------------------------------ 91.65/91.15 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 91.65/91.15 % Termination reason: Time limit 91.65/91.15 % Termination phase: Saturation 91.65/91.15 91.65/91.15 % Memory used [KB]: 1070131 91.65/91.15 % Time elapsed: 34.0000 s 91.65/91.15 % ------------------------------ 91.65/91.15 % ------------------------------ 91.81/91.33 % 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 91.81/91.39 % Refutation not found, incomplete strategy 91.81/91.39 % ------------------------------ 91.81/91.39 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 91.81/91.39 % Termination reason: Refutation not found, incomplete strategy 91.81/91.39 91.81/91.39 % Memory used [KB]: 5245 91.81/91.39 % Time elapsed: 0.061 s 91.81/91.39 % ------------------------------ 91.81/91.39 % ------------------------------ 91.93/91.45 % 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 104.12/103.55 % Time limit reached! 104.12/103.55 % ------------------------------ 104.12/103.55 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 104.12/103.55 % Termination reason: Time limit 104.12/103.55 % Termination phase: Saturation 104.12/103.55 104.12/103.55 % Memory used [KB]: 211467 104.12/103.55 % Time elapsed: 12.100 s 104.12/103.55 % ------------------------------ 104.12/103.55 % ------------------------------ 104.23/103.63 % 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 114.89/114.23 % Time limit reached! 114.89/114.23 % ------------------------------ 114.89/114.23 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 114.89/114.23 % Termination reason: Time limit 114.89/114.23 % Termination phase: Saturation 114.89/114.23 114.89/114.23 % Memory used [KB]: 12537 114.89/114.23 % Time elapsed: 10.600 s 114.89/114.23 % ------------------------------ 114.89/114.23 % ------------------------------ 114.89/114.27 % 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 115.50/114.87 % Time limit reached! 115.50/114.87 % ------------------------------ 115.50/114.87 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 115.50/114.87 % Termination reason: Time limit 115.50/114.87 % Termination phase: Saturation 115.50/114.87 115.50/114.87 % Memory used [KB]: 29167 115.50/114.87 % Time elapsed: 0.600 s 115.50/114.87 % ------------------------------ 115.50/114.87 % ------------------------------ 115.56/114.90 % 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 116.32/115.70 % Time limit reached! 116.32/115.70 % ------------------------------ 116.32/115.70 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 116.32/115.70 % Termination reason: Time limit 116.32/115.70 % Termination phase: Saturation 116.32/115.70 116.32/115.70 % Memory used [KB]: 33901 116.32/115.70 % Time elapsed: 0.800 s 116.32/115.70 % ------------------------------ 116.32/115.70 % ------------------------------ 116.41/115.77 % 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 119.67/118.97 % Refutation found. Thanks to Tanya! 119.67/118.97 % SZS status Theorem for theBenchmark 119.67/118.97 % SZS output start Proof for theBenchmark 119.67/118.97 tff(type_def_5, type, uni: $tType). 119.67/118.97 tff(type_def_6, type, ty: $tType). 119.67/118.97 tff(type_def_7, type, bool1: $tType). 119.67/118.97 tff(type_def_8, type, tuple02: $tType). 119.67/118.97 tff(type_def_9, type, list_int: $tType). 119.67/118.97 tff(type_def_10, type, option_int: $tType). 119.67/118.97 tff(func_def_0, type, witness1: ty > uni). 119.67/118.97 tff(func_def_1, type, int: ty). 119.67/118.97 tff(func_def_2, type, real: ty). 119.67/118.97 tff(func_def_3, type, bool: ty). 119.67/118.97 tff(func_def_4, type, true1: bool1). 119.67/118.97 tff(func_def_5, type, false1: bool1). 119.67/118.97 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 119.67/118.97 tff(func_def_7, type, tuple0: ty). 119.67/118.97 tff(func_def_8, type, tuple03: tuple02). 119.67/118.97 tff(func_def_9, type, qtmark: ty). 119.67/118.97 tff(func_def_10, type, list: ty > ty). 119.67/118.97 tff(func_def_11, type, nil: ty > uni). 119.67/118.97 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 119.67/118.97 tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni). 119.67/118.97 tff(func_def_14, type, cons_proj_11: (ty * uni) > uni). 119.67/118.97 tff(func_def_15, type, cons_proj_21: (ty * uni) > uni). 119.67/118.97 tff(func_def_16, type, length1: (ty * uni) > $int). 119.67/118.97 tff(func_def_17, type, option: ty > ty). 119.67/118.97 tff(func_def_18, type, none: ty > uni). 119.67/118.97 tff(func_def_19, type, some: (ty * uni) > uni). 119.67/118.97 tff(func_def_20, type, match_option1: (ty * ty * uni * uni * uni) > uni). 119.67/118.97 tff(func_def_21, type, some_proj_11: (ty * uni) > uni). 119.67/118.97 tff(func_def_22, type, nth1: (ty * $int * uni) > uni). 119.67/118.97 tff(func_def_23, type, t2tb: option_int > uni). 119.67/118.97 tff(func_def_24, type, tb2t: uni > option_int). 119.67/118.97 tff(func_def_25, type, t2tb1: list_int > uni). 119.67/118.97 tff(func_def_26, type, tb2t1: uni > list_int). 119.67/118.97 tff(func_def_27, type, t2tb2: $int > uni). 119.67/118.97 tff(func_def_28, type, tb2t2: uni > $int). 119.67/118.97 tff(func_def_35, type, sK0: $int). 119.67/118.97 tff(func_def_36, type, sK1: $int). 119.67/118.97 tff(func_def_37, type, sK2: list_int). 119.67/118.97 tff(func_def_38, type, sK3: $int). 119.67/118.97 tff(func_def_39, type, sK4: $int). 119.67/118.97 tff(func_def_40, type, sK5: list_int). 119.67/118.97 tff(func_def_41, type, sK6: list_int > $int). 119.67/118.97 tff(func_def_42, type, sK7: (list_int * $int) > $int). 119.67/118.97 tff(pred_def_1, type, sort1: (ty * uni) > $o). 119.67/118.97 tff(pred_def_2, type, zero_at1: (list_int * $int) > $o). 119.67/118.97 tff(pred_def_3, type, no_zero1: list_int > $o). 119.67/118.97 tff(f26243,plain,( 119.67/118.97 $false), 119.67/118.97 inference(avatar_sat_refutation,[],[f342,f349,f359,f363,f372,f375,f381,f384,f390,f393,f396,f399,f405,f408,f411,f414,f420,f427,f431,f435,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f484,f487,f490,f493,f495,f497,f499,f501,f503,f505,f507,f509,f511,f513,f515,f517,f527,f531,f535,f539,f542,f545,f548,f551,f554,f557,f560,f563,f566,f569,f572,f575,f578,f582,f586,f590,f594,f597,f600,f603,f606,f609,f612,f615,f618,f621,f624,f627,f630,f633,f636,f639,f642,f645,f647,f649,f651,f653,f655,f657,f659,f661,f663,f665,f667,f669,f680,f684,f690,f698,f709,f713,f718,f733,f739,f753,f764,f769,f775,f786,f791,f797,f803,f843,f848,f855,f860,f868,f872,f876,f880,f891,f892,f897,f899,f905,f910,f922,f927,f933,f945,f950,f956,f969,f990,f1008,f1015,f1020,f1029,f1035,f1040,f1042,f1047,f1066,f1082,f1086,f1090,f1106,f1118,f1123,f1142,f1149,f1153,f1161,f1163,f1172,f1176,f1177,f1190,f1194,f1198,f1202,f1206,f1211,f1214,f1221,f1234,f1243,f1247,f1252,f1259,f1278,f1283,f1287,f1296,f1301,f1306,f1312,f1354,f1361,f1378,f1379,f1384,f1394,f1410,f1412,f1442,f1446,f1450,f1479,f1492,f1508,f1512,f1534,f1543,f1546,f1588,f1608,f1637,f1656,f1660,f1665,f1670,f1671,f1676,f1680,f1684,f1688,f1692,f1700,f1706,f1743,f1748,f1788,f1797,f1806,f1812,f1818,f1824,f1827,f1833,f1841,f1852,f1985,f1993,f1998,f2000,f2002,f2007,f2009,f2011,f2015,f2016,f2017,f2022,f2148,f2158,f2162,f2166,f2180,f2181,f2204,f2208,f2212,f2232,f2266,f2273,f2277,f2281,f2285,f2289,f2290,f2295,f2350,f2383,f2390,f2394,f2398,f2402,f2406,f2407,f2412,f2506,f2525,f2564,f2568,f2573,f2578,f2579,f2580,f2585,f2589,f2593,f2597,f2601,f2602,f2606,f2610,f2679,f2686,f2706,f2818,f2833,f2893,f2914,f2918,f2922,f2985,f2995,f3038,f3136,f3191,f3193,f3238,f3242,f3258,f3260,f3280,f3281,f3667,f3673,f3680,f3694,f3700,f3707,f3744,f3748,f3752,f3756,f3760,f3768,f3778,f3780,f3782,f3786,f3788,f3793,f3797,f3799,f3801,f3805,f3807,f3813,f3906,f3963,f3995,f4089,f4094,f4116,f4120,f4124,f4145,f4149,f4153,f4157,f4161,f4185,f4211,f4273,f4329,f4334,f4386,f4443,f4499,f4620,f4627,f4807,f4811,f4818,f4826,f4830,f4865,f4869,f4870,f4871,f4872,f4876,f4933,f4937,f4941,f4942,f4943,f5000,f5028,f5034,f5057,f5061,f5065,f5069,f5076,f5080,f5185,f5192,f5197,f5199,f5200,f5203,f5204,f5206,f5208,f5209,f5227,f5229,f5254,f5271,f5280,f5284,f5292,f5297,f5302,f5307,f5309,f5313,f5314,f5318,f5319,f5323,f5324,f5328,f5332,f5333,f5334,f5338,f5339,f5340,f5344,f5348,f5354,f5358,f5362,f5366,f5367,f5371,f5372,f5373,f5374,f5375,f5380,f5383,f5385,f5387,f5388,f5392,f5396,f5400,f5401,f5402,f5403,f5404,f5405,f5406,f5407,f5410,f5415,f5419,f5423,f5430,f5435,f5443,f5445,f5514,f5546,f5550,f5554,f5558,f5562,f5573,f5578,f5583,f5589,f5591,f5596,f5626,f5630,f5634,f5645,f5646,f5647,f5666,f5673,f5677,f5707,f5711,f5720,f5724,f5756,f5817,f5818,f5819,f5820,f5821,f5822,f5823,f5824,f5825,f5826,f5882,f5899,f5906,f5907,f5918,f5919,f5920,f5932,f5946,f5950,f5951,f5965,f6053,f6057,f6066,f6077,f6078,f6079,f6083,f6199,f6216,f6252,f6256,f6260,f6288,f6311,f6323,f6327,f6331,f6368,f6567,f6589,f6604,f6605,f6638,f6720,f6749,f6753,f6757,f6780,f6849,f6850,f6851,f6852,f6853,f6985,f6990,f6994,f6998,f7002,f7006,f7010,f7011,f7015,f7019,f7020,f7024,f7028,f7032,f7036,f7040,f7044,f7048,f7052,f7056,f7057,f7058,f7062,f7063,f7093,f7101,f7206,f7324,f7332,f7344,f7348,f7615,f7623,f7629,f7674,f7677,f7695,f7698,f7699,f7700,f7706,f7710,f7721,f7725,f7745,f7749,f7751,f7753,f7757,f7759,f7788,f7792,f7796,f7821,f7865,f7869,f7870,f7905,f7949,f7954,f7955,f7964,f7965,f7976,f7980,f7982,f7983,f7987,f7993,f7999,f8002,f8027,f8034,f8060,f8066,f8070,f8074,f8077,f8081,f8093,f8104,f8140,f8143,f8144,f8145,f8148,f8149,f8150,f8153,f8154,f8155,f8158,f8159,f8229,f8238,f8244,f8245,f8253,f8254,f8261,f8265,f8266,f8272,f8274,f8284,f8379,f8418,f8507,f8554,f8561,f8596,f8602,f8606,f8610,f8613,f8614,f8670,f8676,f8729,f8784,f9147,f9222,f9241,f9270,f9309,f9314,f9320,f9398,f9408,f9425,f9426,f9427,f9428,f9429,f9430,f9519,f9526,f9533,f9537,f9541,f9545,f9549,f9628,f9632,f9635,f9638,f9639,f9640,f9641,f9642,f9645,f9648,f9651,f9654,f9660,f9664,f9707,f9711,f9714,f9954,f9958,f9962,f9963,f9964,f9971,f9975,f9979,f9980,f9981,f9984,f9985,f9986,f9989,f9990,f9991,f9994,f9995,f9996,f9999,f10000,f10004,f10017,f10023,f10030,f10082,f10088,f10092,f10098,f10099,f10103,f10107,f10111,f10118,f10122,f10133,f10188,f10192,f10196,f10200,f10207,f10211,f10290,f10704,f10710,f10717,f10820,f10833,f10840,f10844,f10848,f10852,f10856,f10860,f10865,f10876,f10877,f10878,f10879,f10886,f10887,f10942,f10956,f10988,f10993,f11114,f11118,f11122,f11126,f11130,f11134,f11205,f11211,f11288,f11294,f11298,f11304,f11305,f11309,f11313,f11317,f11321,f11470,f11476,f11480,f11486,f11487,f11491,f11495,f11499,f11503,f11606,f11665,f11669,f11671,f11675,f11677,f11679,f11681,f11683,f11685,f12164,f12168,f12172,f12201,f12205,f12211,f12215,f12221,f12222,f12226,f12230,f12234,f12238,f12242,f12424,f12428,f12432,f12436,f12632,f12636,f12640,f12644,f12648,f12652,f12656,f12660,f12664,f12883,f12889,f12950,f12990,f12997,f12998,f12999,f13000,f13001,f13002,f13003,f13004,f13005,f13046,f13050,f13054,f13058,f13062,f13066,f13070,f13074,f13078,f13082,f13089,f13093,f13104,f13122,f13123,f13127,f13131,f13135,f13139,f13143,f13147,f13148,f13152,f13262,f13263,f13267,f13268,f13272,f13276,f13277,f13278,f13279,f13280,f13376,f13450,f13991,f14085,f14089,f14093,f14434,f14461,f14506,f14507,f14511,f14512,f14516,f14517,f14518,f14522,f14523,f14524,f14528,f14532,f14533,f14534,f14796,f14798,f14799,f14803,f14804,f14805,f14809,f14813,f14814,f14815,f14942,f14944,f14945,f14946,f14947,f14948,f14949,f14950,f14951,f14952,f15284,f15927,f15931,f15933,f15940,f15945,f15949,f15956,f15960,f15964,f15968,f15972,f15976,f15980,f15981,f15985,f16227,f16228,f16230,f16236,f16240,f16243,f16246,f16249,f16252,f16255,f16258,f16261,f16264,f16267,f16270,f17051,f17070,f22069,f22076,f22080,f22084,f22088,f22095,f22099,f22122,f22129,f22136,f22140,f22144,f22146,f22314,f22348,f22358,f22362,f22366,f22376,f22380,f22384,f22393,f22406,f22453,f22486,f22495,f22550,f22554,f22558,f22565,f22659,f22664,f22670,f22861,f22867,f22905,f22916,f22920,f22924,f22935,f22947,f23016,f23020,f23024,f23197,f23209,f23219,f23301,f23350,f23354,f23365,f23369,f23373,f23381,f23385,f23392,f23396,f23400,f23407,f23411,f23415,f23419,f23423,f23427,f23477,f23482,f23486,f23494,f23498,f23503,f23504,f23508,f23512,f23516,f23520,f23527,f23532,f23536,f23540,f23541,f23545,f23549,f23551,f23552,f23556,f23560,f23561,f23562,f23563,f23567,f23686,f23849,f23852,f23854,f23857,f23859,f23862,f23864,f23866,f23868,f23870,f23872,f23874,f23877,f23879,f23881,f23883,f23885,f23887,f23890,f23892,f23894,f23896,f23898,f23900,f23902,f23904,f23916,f23920,f23924,f24006,f24012,f24064,f24068,f24072,f24073,f24074,f24078,f24082,f24095,f24096,f24097,f24098,f24102,f24109,f24110,f24111,f24112,f24113,f24114,f24115,f24119,f24182,f24186,f24190,f24194,f24198,f24208,f24212,f24216,f24221,f24226,f24250,f24253,f24276,f24282,f24391,f24395,f24399,f24403,f24407,f24417,f24421,f24425,f24430,f24457,f24597,f24601,f24605,f24609,f24616,f24620,f24624,f24628,f24632,f24719,f24728,f24892,f24901,f24906,f24927,f24930,f25017,f25024,f25031,f25074,f25078,f25082,f25163,f25168,f25174,f25320,f25487,f25493,f25670,f25678,f25842,f25848,f25892,f25897,f25901,f25909,f25913,f25918,f25919,f25923,f25927,f25931,f25935,f25942,f25947,f25951,f25955,f25956,f25960,f25964,f25966,f25967,f25971,f25975,f25976,f25977,f25978,f25982,f26032,f26036,f26040,f26044,f26048,f26049,f26050,f26051,f26052,f26056,f26192,f26208,f26215,f26222,f26226,f26230,f26234,f26238,f26242])). 119.67/118.97 tff(f26242,plain,( 119.67/118.97 spl8_1826 | spl8_1800 | ~spl8_704), 119.67/118.97 inference(avatar_split_clause,[],[f26173,f5815,f26190,f26240])). 119.67/118.97 tff(f26240,plain,( 119.67/118.97 spl8_1826 <=> ! [X3 : $int] : (~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3) | ~zero_at1(sK2,X3))), 119.67/118.97 introduced(avatar_definition,[new_symbols(naming,[spl8_1826])])). 119.67/118.97 tff(f26190,plain,( 119.67/118.97 spl8_1800 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1)), 119.67/118.97 introduced(avatar_definition,[new_symbols(naming,[spl8_1800])])). 119.67/118.97 tff(f5815,plain,( 119.67/118.97 spl8_704 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))), 119.67/118.97 introduced(avatar_definition,[new_symbols(naming,[spl8_704])])). 119.67/118.97 tff(f26173,plain,( 119.67/118.97 ( ! [X3:$int] : ($less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3) | ~zero_at1(sK2,X3)) ) | ~spl8_704), 119.67/118.97 inference(evaluation,[],[f26172])). 119.67/118.97 tff(f26172,plain,( 119.67/118.97 ( ! [X3:$int] : ($less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3) | ~zero_at1(sK2,X3)) ) | ~spl8_704), 119.67/118.97 inference(trivial_inequality_removal,[],[f26128])). 119.67/118.97 tff(f26128,plain,( 119.67/118.97 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3) | ~zero_at1(sK2,X3)) ) | ~spl8_704), 119.67/118.97 inference(superposition,[],[f269,f5816])). 119.67/118.97 tff(f5816,plain,( 119.67/118.97 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | ~spl8_704), 119.67/118.97 inference(avatar_component_clause,[],[f5815])). 119.67/118.97 tff(f269,plain,( 119.67/118.97 ( ! [X2:$int,X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1) | ~zero_at1(X0,X1)) )), 119.67/118.97 inference(cnf_transformation,[],[f127])). 119.67/118.97 tff(f127,plain,( 119.67/118.97 ! [X0 : list_int,X1 : $int] : (((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)) & (zero_at1(X0,X1) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & ~$less(sK7(X0,X1),0) & $less(sK7(X0,X1),X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))))), 119.67/118.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f125,f126])). 119.67/118.97 tff(f126,plain,( 119.67/118.97 ! [X1 : $int,X0 : list_int] : (? [X3 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X0))) & ~$less(X3,0) & $less(X3,X1)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & ~$less(sK7(X0,X1),0) & $less(sK7(X0,X1),X1)))), 119.67/118.97 introduced(choice_axiom,[])). 119.67/118.97 tff(f125,plain,( 119.67/118.97 ! [X0 : list_int,X1 : $int] : (((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)) & (zero_at1(X0,X1) | ? [X3 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X0))) & ~$less(X3,0) & $less(X3,X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))))), 119.67/118.97 inference(rectify,[],[f124])). 119.67/118.97 tff(f124,plain,( 119.67/118.97 ! [X0 : list_int,X1 : $int] : (((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)) & (zero_at1(X0,X1) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))))), 119.67/118.97 inference(flattening,[],[f123])). 119.67/118.98 tff(f123,plain,( 119.67/118.98 ! [X0 : list_int,X1 : $int] : (((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)) & (zero_at1(X0,X1) | (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))))))), 119.67/118.98 inference(nnf_transformation,[],[f103])). 119.67/118.98 tff(f103,plain,( 119.67/118.98 ! [X0 : list_int,X1 : $int] : ((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | $less(X2,0) | ~$less(X2,X1)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) <=> zero_at1(X0,X1))), 119.67/118.98 inference(flattening,[],[f102])). 119.67/118.98 tff(f102,plain,( 119.67/118.98 ! [X0 : list_int,X1 : $int] : ((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | ($less(X2,0) | ~$less(X2,X1))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) <=> zero_at1(X0,X1))), 119.67/118.98 inference(ennf_transformation,[],[f78])). 119.67/118.98 tff(f78,plain,( 119.67/118.98 ! [X0 : list_int,X1 : $int] : ((! [X2 : $int] : ((~$less(X2,0) & $less(X2,X1)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) <=> zero_at1(X0,X1))), 119.67/118.98 inference(rectify,[],[f51])). 119.67/118.98 tff(f51,plain,( 119.67/118.98 ! [X8 : list_int,X9 : $int] : ((! [X0 : $int] : ((~$less(X0,0) & $less(X0,X9)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X8)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X9,t2tb1(X8)))) <=> zero_at1(X8,X9))), 119.67/118.98 inference(evaluation,[],[f8])). 119.67/118.98 tff(f8,axiom,( 119.67/118.98 ! [X8 : list_int,X9 : $int] : ((! [X0 : $int] : (($lesseq(0,X0) & $less(X0,X9)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X8)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X9,t2tb1(X8)))) <=> zero_at1(X8,X9))), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_at_def)). 119.67/118.98 tff(f26238,plain,( 119.67/118.98 spl8_1824 | spl8_1804 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26174,f5815,f26197,f26236])). 119.67/118.98 tff(f26236,plain,( 119.67/118.98 spl8_1824 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1824])])). 119.67/118.98 tff(f26197,plain,( 119.67/118.98 spl8_1804 <=> zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1804])])). 119.67/118.98 tff(f26174,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))) | ~spl8_704), 119.67/118.98 inference(trivial_inequality_removal,[],[f26127])). 119.67/118.98 tff(f26127,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))) | ~spl8_704), 119.67/118.98 inference(superposition,[],[f267,f5816])). 119.67/118.98 tff(f267,plain,( 119.67/118.98 ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )), 119.67/118.98 inference(cnf_transformation,[],[f127])). 119.67/118.98 tff(f26234,plain,( 119.67/118.98 ~spl8_1817 | spl8_1804 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26175,f5815,f26197,f26232])). 119.67/118.98 tff(f26232,plain,( 119.67/118.98 spl8_1817 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1817])])). 119.67/118.98 tff(f26175,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | ~spl8_704), 119.67/118.98 inference(trivial_inequality_removal,[],[f26126])). 119.67/118.98 tff(f26126,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | ~spl8_704), 119.67/118.98 inference(superposition,[],[f266,f5816])). 119.67/118.98 tff(f266,plain,( 119.67/118.98 ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | ~$less(sK7(X0,X1),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )), 119.67/118.98 inference(cnf_transformation,[],[f127])). 119.67/118.98 tff(f26230,plain,( 119.67/118.98 spl8_1822 | spl8_1804 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26176,f5815,f26197,f26228])). 119.67/118.98 tff(f26228,plain,( 119.67/118.98 spl8_1822 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1822])])). 119.67/118.98 tff(f26176,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~spl8_704), 119.67/118.98 inference(trivial_inequality_removal,[],[f26125])). 119.67/118.98 tff(f26125,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~spl8_704), 119.67/118.98 inference(superposition,[],[f265,f5816])). 119.67/118.98 tff(f265,plain,( 119.67/118.98 ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | $less(sK7(X0,X1),X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )), 119.67/118.98 inference(cnf_transformation,[],[f127])). 119.67/118.98 tff(f26226,plain,( 119.67/118.98 ~spl8_1821 | spl8_1800 | ~spl8_34 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26180,f5815,f403,f26190,f26224])). 119.67/118.98 tff(f26224,plain,( 119.67/118.98 spl8_1821 <=> ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1821])])). 119.67/118.98 tff(f403,plain,( 119.67/118.98 spl8_34 <=> zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_34])])). 119.67/118.98 tff(f26180,plain,( 119.67/118.98 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(evaluation,[],[f26179])). 119.67/118.98 tff(f26179,plain,( 119.67/118.98 $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26123])). 119.67/118.98 tff(f26123,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(superposition,[],[f901,f5816])). 119.67/118.98 tff(f901,plain,( 119.67/118.98 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))) | $less(X0,0) | ~$less(X0,$sum(sK3,$uminus($sum(sK0,1))))) ) | ~spl8_34), 119.67/118.98 inference(resolution,[],[f404,f269])). 119.67/118.98 tff(f404,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | ~spl8_34), 119.67/118.98 inference(avatar_component_clause,[],[f403])). 119.67/118.98 tff(f26222,plain,( 119.67/118.98 spl8_1816 | spl8_1804 | ~spl8_1819 | ~spl8_34 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26181,f5815,f403,f26220,f26197,f26217])). 119.67/118.98 tff(f26217,plain,( 119.67/118.98 spl8_1816 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1816])])). 119.67/118.98 tff(f26220,plain,( 119.67/118.98 spl8_1819 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1819])])). 119.67/118.98 tff(f26181,plain,( 119.67/118.98 ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26122])). 119.67/118.98 tff(f26122,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(superposition,[],[f5498,f5816])). 119.67/118.98 tff(f5498,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2))) | ~$less(sK7(sK2,X2),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,X2) | $less(sK7(sK2,X2),0)) ) | ~spl8_34), 119.67/118.98 inference(trivial_inequality_removal,[],[f5497])). 119.67/118.98 tff(f5497,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,X2),0) | ~$less(sK7(sK2,X2),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,X2) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2)))) ) | ~spl8_34), 119.67/118.98 inference(superposition,[],[f901,f267])). 119.67/118.98 tff(f26215,plain,( 119.67/118.98 ~spl8_1813 | spl8_1804 | spl8_1814 | spl8_1808 | ~spl8_34 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26182,f5815,f403,f26203,f26213,f26197,f26210])). 119.67/118.98 tff(f26210,plain,( 119.67/118.98 spl8_1813 <=> ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1813])])). 119.67/118.98 tff(f26213,plain,( 119.67/118.98 spl8_1814 <=> $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1814])])). 119.67/118.98 tff(f26203,plain,( 119.67/118.98 spl8_1808 <=> zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1808])])). 119.67/118.98 tff(f26182,plain,( 119.67/118.98 zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26121])). 119.67/118.98 tff(f26121,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(superposition,[],[f5860,f5816])). 119.67/118.98 tff(f5860,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2))) | zero_at1(sK2,sK7(sK2,X2)) | $less(sK7(sK2,sK7(sK2,X2)),0) | zero_at1(sK2,X2) | ~$less(sK7(sK2,sK7(sK2,X2)),$sum(sK3,$uminus($sum(sK0,1))))) ) | ~spl8_34), 119.67/118.98 inference(trivial_inequality_removal,[],[f5859])). 119.67/118.98 tff(f5859,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,sK7(sK2,X2)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK7(sK2,X2)) | $less(sK7(sK2,sK7(sK2,X2)),0) | zero_at1(sK2,X2) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2)))) ) | ~spl8_34), 119.67/118.98 inference(superposition,[],[f5498,f267])). 119.67/118.98 tff(f26208,plain,( 119.67/118.98 spl8_1802 | spl8_1804 | ~spl8_1807 | spl8_1808 | spl8_1810 | ~spl8_34 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26183,f5815,f403,f26206,f26203,f26200,f26197,f26194])). 119.67/118.98 tff(f26194,plain,( 119.67/118.98 spl8_1802 <=> zero_at1(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1802])])). 119.67/118.98 tff(f26200,plain,( 119.67/118.98 spl8_1807 <=> ~$less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1807])])). 119.67/118.98 tff(f26206,plain,( 119.67/118.98 spl8_1810 <=> $less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1810])])). 119.67/118.98 tff(f26183,plain,( 119.67/118.98 $less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),0) | zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | zero_at1(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26120])). 119.67/118.98 tff(f26120,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),0) | zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | zero_at1(sK2,sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) | (~spl8_34 | ~spl8_704)), 119.67/118.98 inference(superposition,[],[f7581,f5816])). 119.67/118.98 tff(f7581,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,X2))),0) | zero_at1(sK2,sK7(sK2,X2)) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,X2))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,X2) | zero_at1(sK2,sK7(sK2,sK7(sK2,X2)))) ) | ~spl8_34), 119.67/118.98 inference(trivial_inequality_removal,[],[f7578])). 119.67/118.98 tff(f7578,plain,( 119.67/118.98 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK7(sK2,X2))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,X2))),0) | zero_at1(sK2,sK7(sK2,X2)) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,X2))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,X2) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK2)))) ) | ~spl8_34), 119.67/118.98 inference(superposition,[],[f5860,f267])). 119.67/118.98 tff(f26192,plain,( 119.67/118.98 ~spl8_1799 | spl8_1800 | ~spl8_334 | ~spl8_704), 119.67/118.98 inference(avatar_split_clause,[],[f26185,f5815,f2378,f26190,f26187])). 119.67/118.98 tff(f26187,plain,( 119.67/118.98 spl8_1799 <=> ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1799])])). 119.67/118.98 tff(f2378,plain,( 119.67/118.98 spl8_334 <=> zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_334])])). 119.67/118.98 tff(f26185,plain,( 119.67/118.98 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_704)), 119.67/118.98 inference(evaluation,[],[f26184])). 119.67/118.98 tff(f26184,plain,( 119.67/118.98 $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_704)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26119])). 119.67/118.98 tff(f26119,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_704)), 119.67/118.98 inference(superposition,[],[f3649,f5816])). 119.67/118.98 tff(f3649,plain,( 119.67/118.98 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK2))) | $less(X3,0) | ~$less(X3,$sum(sK6(tb2t1(nil(int))),-1))) ) | ~spl8_334), 119.67/118.98 inference(resolution,[],[f2379,f269])). 119.67/118.98 tff(f2379,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | ~spl8_334), 119.67/118.98 inference(avatar_component_clause,[],[f2378])). 119.67/118.98 tff(f26056,plain,( 119.67/118.98 ~spl8_1797 | spl8_1616 | ~spl8_334 | ~spl8_1628), 119.67/118.98 inference(avatar_split_clause,[],[f26004,f24192,f2378,f24107,f26054])). 119.67/118.98 tff(f26054,plain,( 119.67/118.98 spl8_1797 <=> ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1797])])). 119.67/118.98 tff(f24107,plain,( 119.67/118.98 spl8_1616 <=> $less(sK7(sK2,sK7(sK2,sK6(sK2))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1616])])). 119.67/118.98 tff(f24192,plain,( 119.67/118.98 spl8_1628 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1628])])). 119.67/118.98 tff(f26004,plain,( 119.67/118.98 $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1628)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26001])). 119.67/118.98 tff(f26001,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1628)), 119.67/118.98 inference(superposition,[],[f3649,f24193])). 119.67/118.98 tff(f24193,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))) | ~spl8_1628), 119.67/118.98 inference(avatar_component_clause,[],[f24192])). 119.67/118.98 tff(f26052,plain,( 119.67/118.98 ~spl8_1793 | spl8_316 | ~spl8_324 | ~spl8_334), 119.67/118.98 inference(avatar_split_clause,[],[f26005,f2378,f2283,f2258,f26042])). 119.67/118.98 tff(f26042,plain,( 119.67/118.98 spl8_1793 <=> ~$less(sK7(sK2,sK6(sK2)),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1793])])). 119.67/118.98 tff(f2258,plain,( 119.67/118.98 spl8_316 <=> $less(sK7(sK2,sK6(sK2)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_316])])). 119.67/118.98 tff(f2283,plain,( 119.67/118.98 spl8_324 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_324])])). 119.67/118.98 tff(f26005,plain,( 119.67/118.98 $less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_324 | ~spl8_334)), 119.67/118.98 inference(trivial_inequality_removal,[],[f26000])). 119.67/118.98 tff(f26000,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_324 | ~spl8_334)), 119.67/118.98 inference(superposition,[],[f3649,f2284])). 119.67/118.98 tff(f2284,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_324), 119.67/118.98 inference(avatar_component_clause,[],[f2283])). 119.67/118.98 tff(f26051,plain,( 119.67/118.98 ~spl8_1795 | spl8_604 | ~spl8_334 | ~spl8_608), 119.67/118.98 inference(avatar_split_clause,[],[f26006,f5305,f2378,f10881,f26046])). 119.67/118.98 tff(f26046,plain,( 119.67/118.98 spl8_1795 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1795])])). 119.67/118.98 tff(f10881,plain,( 119.67/118.98 spl8_604 <=> $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_604])])). 119.67/118.98 tff(f5305,plain,( 119.67/118.98 spl8_608 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_608])])). 119.67/118.98 tff(f26006,plain,( 119.67/118.98 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_608)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25999])). 119.67/118.98 tff(f25999,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_608)), 119.67/118.98 inference(superposition,[],[f3649,f5306])). 119.67/118.98 tff(f5306,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_608), 119.67/118.98 inference(avatar_component_clause,[],[f5305])). 119.67/118.98 tff(f26050,plain,( 119.67/118.98 spl8_26 | ~spl8_1791 | spl8_150 | ~spl8_334), 119.67/118.98 inference(avatar_split_clause,[],[f26007,f2378,f2271,f26038,f367])). 119.67/118.98 tff(f367,plain,( 119.67/118.98 spl8_26 <=> no_zero1(sK2)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_26])])). 119.67/118.98 tff(f26038,plain,( 119.67/118.98 spl8_1791 <=> ~$less(sK6(sK2),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1791])])). 119.67/118.98 tff(f2271,plain,( 119.67/118.98 spl8_150 <=> $less(sK6(sK2),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_150])])). 119.67/118.98 tff(f26007,plain,( 119.67/118.98 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(nil(int))),-1)) | no_zero1(sK2) | ~spl8_334), 119.67/118.98 inference(trivial_inequality_removal,[],[f25998])). 119.67/118.98 tff(f25998,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(nil(int))),-1)) | no_zero1(sK2) | ~spl8_334), 119.67/118.98 inference(superposition,[],[f3649,f249])). 119.67/118.98 tff(f249,plain,( 119.67/118.98 ( ! [X0:list_int] : (no_zero1(X0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0)))) )), 119.67/118.98 inference(cnf_transformation,[],[f121])). 119.67/118.98 tff(f121,plain,( 119.67/118.98 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(X0)))) | ~no_zero1(X0)) & (no_zero1(X0) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & ~$less(sK6(X0),0) & $less(sK6(X0),length1(int,t2tb1(X0))))))), 119.67/118.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f119,f120])). 119.67/118.98 tff(f120,plain,( 119.67/118.98 ! [X0 : list_int] : (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,length1(int,t2tb1(X0)))) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & ~$less(sK6(X0),0) & $less(sK6(X0),length1(int,t2tb1(X0)))))), 119.67/118.98 introduced(choice_axiom,[])). 119.67/118.98 tff(f119,plain,( 119.67/118.98 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(X0)))) | ~no_zero1(X0)) & (no_zero1(X0) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,length1(int,t2tb1(X0))))))), 119.67/118.98 inference(rectify,[],[f118])). 119.67/118.98 tff(f118,plain,( 119.67/118.98 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(X0)))) | ~no_zero1(X0)) & (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ~$less(X1,0) & $less(X1,length1(int,t2tb1(X0))))))), 119.67/118.98 inference(nnf_transformation,[],[f97])). 119.67/118.98 tff(f97,plain,( 119.67/118.98 ! [X0 : list_int] : (! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(X0)))) <=> no_zero1(X0))), 119.67/118.98 inference(flattening,[],[f96])). 119.67/118.98 tff(f96,plain,( 119.67/118.98 ! [X0 : list_int] : (! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ($less(X1,0) | ~$less(X1,length1(int,t2tb1(X0))))) <=> no_zero1(X0))), 119.67/118.98 inference(ennf_transformation,[],[f66])). 119.67/118.98 tff(f66,plain,( 119.67/118.98 ! [X0 : list_int] : (! [X1 : $int] : ((~$less(X1,0) & $less(X1,length1(int,t2tb1(X0)))) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) <=> no_zero1(X0))), 119.67/118.98 inference(rectify,[],[f48])). 119.67/118.98 tff(f48,plain,( 119.67/118.98 ! [X8 : list_int] : (! [X0 : $int] : ((~$less(X0,0) & $less(X0,length1(int,t2tb1(X8)))) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X8)))) <=> no_zero1(X8))), 119.67/118.98 inference(evaluation,[],[f14])). 119.67/118.98 tff(f14,axiom,( 119.67/118.98 ! [X8 : list_int] : (! [X0 : $int] : (($lesseq(0,X0) & $less(X0,length1(int,t2tb1(X8)))) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(X8)))) <=> no_zero1(X8))), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_zero_def)). 119.67/118.98 tff(f26049,plain,( 119.67/118.98 ~spl8_1787 | spl8_590 | ~spl8_160 | ~spl8_334), 119.67/118.98 inference(avatar_split_clause,[],[f26019,f2378,f1116,f5266,f26030])). 119.67/118.98 tff(f26030,plain,( 119.67/118.98 spl8_1787 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1787])])). 119.67/118.98 tff(f5266,plain,( 119.67/118.98 spl8_590 <=> $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_590])])). 119.67/118.98 tff(f1116,plain,( 119.67/118.98 spl8_160 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_160])])). 119.67/118.98 tff(f26019,plain,( 119.67/118.98 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_160 | ~spl8_334)), 119.67/118.98 inference(evaluation,[],[f26018])). 119.67/118.98 tff(f26018,plain,( 119.67/118.98 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_160 | ~spl8_334)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25991])). 119.67/118.98 tff(f25991,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_160 | ~spl8_334)), 119.67/118.98 inference(superposition,[],[f3649,f1117])). 119.67/118.98 tff(f1117,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2))) | ~spl8_160), 119.67/118.98 inference(avatar_component_clause,[],[f1116])). 119.67/118.98 tff(f26048,plain,( 119.67/118.98 ~spl8_1795 | spl8_604 | ~spl8_334 | ~spl8_1098), 119.67/118.98 inference(avatar_split_clause,[],[f26021,f10991,f2378,f10881,f26046])). 119.67/118.98 tff(f10991,plain,( 119.67/118.98 spl8_1098 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1098])])). 119.67/118.98 tff(f26021,plain,( 119.67/118.98 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1098)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25989])). 119.67/118.98 tff(f25989,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1098)), 119.67/118.98 inference(superposition,[],[f3649,f10992])). 119.67/118.98 tff(f10992,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) | ~spl8_1098), 119.67/118.98 inference(avatar_component_clause,[],[f10991])). 119.67/118.98 tff(f26044,plain,( 119.67/118.98 ~spl8_1793 | spl8_316 | ~spl8_334 | ~spl8_1642), 119.67/118.98 inference(avatar_split_clause,[],[f26022,f24219,f2378,f2258,f26042])). 119.67/118.98 tff(f24219,plain,( 119.67/118.98 spl8_1642 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1642])])). 119.67/118.98 tff(f26022,plain,( 119.67/118.98 $less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1642)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25988])). 119.67/118.98 tff(f25988,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_1642)), 119.67/118.98 inference(superposition,[],[f3649,f24220])). 119.67/118.98 tff(f24220,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~spl8_1642), 119.67/118.98 inference(avatar_component_clause,[],[f24219])). 119.67/118.98 tff(f26040,plain,( 119.67/118.98 ~spl8_1791 | spl8_150 | ~spl8_328 | ~spl8_334), 119.67/118.98 inference(avatar_split_clause,[],[f26023,f2378,f2293,f2271,f26038])). 119.67/118.98 tff(f2293,plain,( 119.67/118.98 spl8_328 <=> some(int,t2tb2(0)) = nth1(int,sK6(sK2),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_328])])). 119.67/118.98 tff(f26023,plain,( 119.67/118.98 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_328 | ~spl8_334)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25987])). 119.67/118.98 tff(f25987,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_328 | ~spl8_334)), 119.67/118.98 inference(superposition,[],[f3649,f2294])). 119.67/118.98 tff(f2294,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,sK6(sK2),t2tb1(sK2)) | ~spl8_328), 119.67/118.98 inference(avatar_component_clause,[],[f2293])). 119.67/118.98 tff(f26036,plain,( 119.67/118.98 ~spl8_1789 | spl8_128 | ~spl8_132 | ~spl8_334), 119.67/118.98 inference(avatar_split_clause,[],[f26024,f2378,f1018,f1006,f26034])). 119.67/118.98 tff(f26034,plain,( 119.67/118.98 spl8_1789 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(nil(int))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1789])])). 119.67/118.98 tff(f1006,plain,( 119.67/118.98 spl8_128 <=> $less($sum(sK3,$uminus($sum(sK0,1))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_128])])). 119.67/118.98 tff(f1018,plain,( 119.67/118.98 spl8_132 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_132])])). 119.67/118.98 tff(f26024,plain,( 119.67/118.98 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_132 | ~spl8_334)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25986])). 119.67/118.98 tff(f25986,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_132 | ~spl8_334)), 119.67/118.98 inference(superposition,[],[f3649,f1019])). 119.67/118.98 tff(f1019,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2)) | ~spl8_132), 119.67/118.98 inference(avatar_component_clause,[],[f1018])). 119.67/118.98 tff(f26032,plain,( 119.67/118.98 ~spl8_1787 | spl8_590 | ~spl8_334 | ~spl8_614), 119.67/118.98 inference(avatar_split_clause,[],[f26028,f5321,f2378,f5266,f26030])). 119.67/118.98 tff(f5321,plain,( 119.67/118.98 spl8_614 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_614])])). 119.67/118.98 tff(f26028,plain,( 119.67/118.98 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_614)), 119.67/118.98 inference(evaluation,[],[f26027])). 119.67/118.98 tff(f26027,plain,( 119.67/118.98 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_614)), 119.67/118.98 inference(trivial_inequality_removal,[],[f25984])). 119.67/118.98 tff(f25984,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(nil(int))),-1)) | (~spl8_334 | ~spl8_614)), 119.67/118.98 inference(superposition,[],[f3649,f5322])). 119.67/118.98 tff(f5322,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2)) | ~spl8_614), 119.67/118.98 inference(avatar_component_clause,[],[f5321])). 119.67/118.98 tff(f25982,plain,( 119.67/118.98 spl8_1784 | spl8_1744 | spl8_279 | ~spl8_888 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25881,f8227,f8079,f1810,f25890,f25980])). 119.67/118.98 tff(f25980,plain,( 119.67/118.98 spl8_1784 <=> sK7(sK2,-1) = sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1784])])). 119.67/118.98 tff(f25890,plain,( 119.67/118.98 spl8_1744 <=> ! [X1 : uni,X3 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X2)) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | ~$less(sK7(sK2,-1),X3))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1744])])). 119.67/118.98 tff(f1810,plain,( 119.67/118.98 spl8_279 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_279])])). 119.67/118.98 tff(f8079,plain,( 119.67/118.98 spl8_888 <=> 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_888])])). 119.67/118.98 tff(f8227,plain,( 119.67/118.98 spl8_898 <=> 0 = sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_898])])). 119.67/118.98 tff(f25881,plain,( 119.67/118.98 ( ! [X94:uni,X95:uni,X96:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X95)) | ~$less(sK7(sK2,-1),X96) | ~zero_at1(tb2t1(cons(int,X94,X95)),X96) | sK7(sK2,-1) = sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_279 | ~spl8_888 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f9678])). 119.67/118.98 tff(f9678,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) = X0 | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_888), 119.67/118.98 inference(superposition,[],[f8080,f287])). 119.67/118.98 tff(f287,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (nth1(X0,$sum(X1,-1),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1) )), 119.67/118.98 inference(evaluation,[],[f258])). 119.67/118.98 tff(f258,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1) )), 119.67/118.98 inference(cnf_transformation,[],[f98])). 119.67/118.98 tff(f98,plain,( 119.67/118.98 ! [X0 : ty,X1 : $int] : (none(X0) = nth1(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1) & (some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1)))), 119.67/118.98 inference(ennf_transformation,[],[f73])). 119.67/118.98 tff(f73,plain,( 119.67/118.98 ! [X0 : ty,X1 : $int] : (none(X0) = nth1(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((0 != X1 => nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3))) & (0 = X1 => some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)))))), 119.67/118.98 inference(rectify,[],[f50])). 119.67/118.98 tff(f50,plain,( 119.67/118.98 ! [X1 : ty,X12 : $int] : (none(X1) = nth1(X1,X12,nil(X1)) & ! [X4 : uni,X5 : uni] : ((0 != X12 => nth1(X1,$sum(X12,$uminus(1)),X5) = nth1(X1,X12,cons(X1,X4,X5))) & (0 = X12 => some(X1,X4) = nth1(X1,X12,cons(X1,X4,X5)))))), 119.67/118.98 inference(evaluation,[],[f22])). 119.67/118.98 tff(f22,axiom,( 119.67/118.98 ! [X1 : ty,X12 : $int] : (none(X1) = nth1(X1,X12,nil(X1)) & ! [X4 : uni,X5 : uni] : ((0 != X12 => nth1(X1,$difference(X12,1),X5) = nth1(X1,X12,cons(X1,X4,X5))) & (0 = X12 => some(X1,X4) = nth1(X1,X12,cons(X1,X4,X5)))))), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nth_def)). 119.67/118.98 tff(f8080,plain,( 119.67/118.98 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_888), 119.67/118.98 inference(avatar_component_clause,[],[f8079])). 119.67/118.98 tff(f14222,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,-1),X0)) | ~$less(sK7(sK2,-1),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(evaluation,[],[f14221])). 119.67/118.98 tff(f14221,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (~$less(sK7(sK2,$sum(0,-1)),X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,-1),X0)) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(forward_demodulation,[],[f14220,f8228])). 119.67/118.98 tff(f8228,plain,( 119.67/118.98 0 = sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_898), 119.67/118.98 inference(avatar_component_clause,[],[f8227])). 119.67/118.98 tff(f14220,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,-1),X0)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(evaluation,[],[f14219])). 119.67/118.98 tff(f14219,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(0,-1)),X0)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(forward_demodulation,[],[f14209,f8228])). 119.67/118.98 tff(f14209,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X0)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_279), 119.67/118.98 inference(superposition,[],[f8106,f234])). 119.67/118.98 tff(f234,plain,( 119.67/118.98 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 119.67/118.98 inference(cnf_transformation,[],[f1])). 119.67/118.98 tff(f1,axiom,( 119.67/118.98 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 119.67/118.98 tff(f8106,plain,( 119.67/118.98 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(X2))) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X3) | ~zero_at1(X2,X3)) ) | ~spl8_279), 119.67/118.98 inference(resolution,[],[f1811,f269])). 119.67/118.98 tff(f1811,plain,( 119.67/118.98 ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | ~spl8_279), 119.67/118.98 inference(avatar_component_clause,[],[f1810])). 119.67/118.98 tff(f25978,plain,( 119.67/118.98 spl8_1746 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25880,f8227,f8032,f1810,f954,f25890,f25895])). 119.67/118.98 tff(f25895,plain,( 119.67/118.98 spl8_1746 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(sK2,-1))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1746])])). 119.67/118.98 tff(f954,plain,( 119.67/118.98 spl8_120 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_120])])). 119.67/118.98 tff(f8032,plain,( 119.67/118.98 spl8_876 <=> ! [X16 : uni,X15 : $int,X17 : uni,X14 : ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X15),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_876])])). 119.67/118.98 tff(f25880,plain,( 119.67/118.98 ( ! [X92:uni,X93:$int,X91:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X92)) | ~$less(sK7(sK2,-1),X93) | ~zero_at1(tb2t1(cons(int,X91,X92)),X93) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(sK2,-1))))) ) | (~spl8_120 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f9012])). 119.67/118.98 tff(f9012,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (nth1(X0,$sum(X1,-1),X2) = nth1(X0,X1,cons(X0,X3,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X1)))) ) | (~spl8_120 | ~spl8_876)), 119.67/118.98 inference(condensation,[],[f8937])). 119.67/118.98 tff(f8937,plain,( 119.67/118.98 ( ! [X6:uni,X4:ty,X2:uni,X0:$int,X5:uni,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | nth1(X4,$sum(X0,-1),X5) = nth1(X4,X0,cons(X4,X6,X5))) ) | (~spl8_120 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f8033,f8035])). 119.67/118.98 tff(f8035,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(X0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_120), 119.67/118.98 inference(superposition,[],[f955,f287])). 119.67/118.98 tff(f955,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_120), 119.67/118.98 inference(avatar_component_clause,[],[f954])). 119.67/118.98 tff(f8033,plain,( 119.67/118.98 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X15),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16))) ) | ~spl8_876), 119.67/118.98 inference(avatar_component_clause,[],[f8032])). 119.67/118.98 tff(f25977,plain,( 119.67/118.98 spl8_1768 | spl8_1780 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25879,f8227,f8032,f1810,f954,f25890,f25969,f25940])). 119.67/118.98 tff(f25940,plain,( 119.67/118.98 spl8_1768 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1768])])). 119.67/118.98 tff(f25969,plain,( 119.67/118.98 spl8_1780 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1780])])). 119.67/118.98 tff(f25879,plain,( 119.67/118.98 ( ! [X90:$int,X88:uni,X89:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X89)) | ~$less(sK7(sK2,-1),X90) | ~zero_at1(tb2t1(cons(int,X88,X89)),X90) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8957])). 119.67/118.98 tff(f8957,plain,( 119.67/118.98 ( ! [X61:uni,X59:$int,X62:uni,X60:ty] : (tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X59),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X59),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X59),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X60,$sum(X59,-1),X61) = nth1(X60,X59,cons(X60,X62,X61)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X59),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f8033,f8035])). 119.67/118.98 tff(f25976,plain,( 119.67/118.98 spl8_1750 | spl8_1782 | spl8_1744 | ~spl8_100 | ~spl8_120 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25878,f8227,f1810,f954,f895,f25890,f25973,f25904])). 119.67/118.98 tff(f25904,plain,( 119.67/118.98 spl8_1750 <=> tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1750])])). 119.67/118.98 tff(f25973,plain,( 119.67/118.98 spl8_1782 <=> tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1782])])). 119.67/118.98 tff(f895,plain,( 119.67/118.98 spl8_100 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_100])])). 119.67/118.98 tff(f25878,plain,( 119.67/118.98 ( ! [X87:$int,X85:uni,X86:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X86)) | ~$less(sK7(sK2,-1),X87) | ~zero_at1(tb2t1(cons(int,X85,X86)),X87) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8956])). 119.67/118.98 tff(f8956,plain,( 119.67/118.98 ( ! [X57:uni,X58:uni,X56:ty,X55:$int] : (tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X55),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X55),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X55),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X56,$sum(X55,-1),X57) = nth1(X56,X55,cons(X56,X58,X57)) | tb2t(some(int,t2tb2(X55))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X55),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120)), 119.67/118.98 inference(superposition,[],[f1857,f8035])). 119.67/118.98 tff(f1857,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(X0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_100), 119.67/118.98 inference(superposition,[],[f896,f287])). 119.67/118.98 tff(f896,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_100), 119.67/118.98 inference(avatar_component_clause,[],[f895])). 119.67/118.98 tff(f25975,plain,( 119.67/118.98 spl8_1756 | spl8_1782 | spl8_1744 | spl8_97 | ~spl8_120 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25877,f8227,f1810,f954,f878,f25890,f25973,f25916])). 119.67/118.98 tff(f25916,plain,( 119.67/118.98 spl8_1756 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1756])])). 119.67/118.98 tff(f878,plain,( 119.67/118.98 spl8_97 <=> ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_97])])). 119.67/118.98 tff(f25877,plain,( 119.67/118.98 ( ! [X83:uni,X84:$int,X82:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X83)) | ~$less(sK7(sK2,-1),X84) | ~zero_at1(tb2t1(cons(int,X82,X83)),X84) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8955])). 119.67/118.98 tff(f8955,plain,( 119.67/118.98 ( ! [X54:uni,X52:ty,X53:uni,X51:$int] : (tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X52,$sum(X51,-1),X53) = nth1(X52,X51,cons(X52,X54,X53)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_120)), 119.67/118.98 inference(superposition,[],[f5770,f8035])). 119.67/118.98 tff(f5770,plain,( 119.67/118.98 ( ! [X19:uni,X17:$int,X18:uni,X16:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(X17),t2tb1(sK2)))),cons(int,t2tb2(X17),t2tb1(sK2)))) | nth1(X16,$sum(X17,-1),X18) = nth1(X16,X17,cons(X16,X19,X18))) ) | ~spl8_97), 119.67/118.98 inference(forward_demodulation,[],[f5763,f234])). 119.67/118.98 tff(f5763,plain,( 119.67/118.98 ( ! [X19:uni,X17:$int,X18:uni,X16:ty] : (nth1(X16,$sum(X17,-1),X18) = nth1(X16,X17,cons(X16,X19,X18)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(X17),t2tb1(sK2)))),t2tb1(tb2t1(cons(int,t2tb2(X17),t2tb1(sK2))))))) ) | ~spl8_97), 119.67/118.98 inference(resolution,[],[f885,f249])). 119.67/118.98 tff(f885,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~no_zero1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_97), 119.67/118.98 inference(superposition,[],[f879,f287])). 119.67/118.98 tff(f879,plain,( 119.67/118.98 ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_97), 119.67/118.98 inference(avatar_component_clause,[],[f878])). 119.67/118.98 tff(f25971,plain,( 119.67/118.98 spl8_1778 | spl8_1780 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25876,f8227,f1810,f954,f25890,f25969,f25962])). 119.67/118.98 tff(f25962,plain,( 119.67/118.98 spl8_1778 <=> tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1778])])). 119.67/118.98 tff(f25876,plain,( 119.67/118.98 ( ! [X80:uni,X81:$int,X79:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X80)) | ~$less(sK7(sK2,-1),X81) | ~zero_at1(tb2t1(cons(int,X79,X80)),X81) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8918])). 119.67/118.98 tff(f8918,plain,( 119.67/118.98 ( ! [X33:uni,X31:$int,X34:uni,X32:ty] : (tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X31),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X31),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X31),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X32,$sum(X31,-1),X33) = nth1(X32,X31,cons(X32,X34,X33)) | tb2t(some(int,t2tb2(X31))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X31),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | ~spl8_120), 119.67/118.98 inference(superposition,[],[f8035,f8035])). 119.67/118.98 tff(f25967,plain,( 119.67/118.98 spl8_1778 | spl8_1772 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25875,f8227,f8032,f1810,f954,f25890,f25949,f25962])). 119.67/118.98 tff(f25949,plain,( 119.67/118.98 spl8_1772 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1772])])). 119.67/118.98 tff(f25875,plain,( 119.67/118.98 ( ! [X78:$int,X76:uni,X77:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X77)) | ~$less(sK7(sK2,-1),X78) | ~zero_at1(tb2t1(cons(int,X76,X77)),X78) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8917])). 119.67/118.98 tff(f8917,plain,( 119.67/118.98 ( ! [X30:uni,X28:ty,X29:uni,X27:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X27),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X27),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X28,$sum(X27,-1),X29) = nth1(X28,X27,cons(X28,X30,X29)) | tb2t(some(int,t2tb2(X27))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X27),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f8035,f8033])). 119.67/118.98 tff(f25966,plain,( 119.67/118.98 spl8_1778 | spl8_1744 | spl8_1770 | ~spl8_100 | ~spl8_120 | spl8_279 | ~spl8_898 | ~spl8_1300), 119.67/118.98 inference(avatar_split_clause,[],[f25965,f14432,f8227,f1810,f954,f895,f25945,f25890,f25962])). 119.67/118.98 tff(f25945,plain,( 119.67/118.98 spl8_1770 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1770])])). 119.67/118.98 tff(f14432,plain,( 119.67/118.98 spl8_1300 <=> ! [X0 : uni] : ~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1300])])). 119.67/118.98 tff(f25965,plain,( 119.67/118.98 ( ! [X70:uni,X72:$int,X71:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X71)) | ~$less(sK7(sK2,-1),X72) | ~zero_at1(tb2t1(cons(int,X70,X71)),X72) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_279 | ~spl8_898 | ~spl8_1300)), 119.67/118.98 inference(forward_demodulation,[],[f25873,f14765])). 119.67/118.98 tff(f14765,plain,( 119.67/118.98 ( ! [X4:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,X4,t2tb1(sK2)))),cons(int,X4,t2tb1(sK2))))) ) | ~spl8_1300), 119.67/118.98 inference(forward_demodulation,[],[f14756,f234])). 119.67/118.98 tff(f14756,plain,( 119.67/118.98 ( ! [X4:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,X4,t2tb1(sK2)))),t2tb1(tb2t1(cons(int,X4,t2tb1(sK2))))))) ) | ~spl8_1300), 119.67/118.98 inference(resolution,[],[f14433,f249])). 119.67/118.98 tff(f14433,plain,( 119.67/118.98 ( ! [X0:uni] : (~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2))))) ) | ~spl8_1300), 119.67/118.98 inference(avatar_component_clause,[],[f14432])). 119.67/118.98 tff(f25873,plain,( 119.67/118.98 ( ! [X70:uni,X72:$int,X71:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X71)) | ~$less(sK7(sK2,-1),X72) | ~zero_at1(tb2t1(cons(int,X70,X71)),X72) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8913])). 119.67/118.98 tff(f8913,plain,( 119.67/118.98 ( ! [X14:uni,X12:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X12,$sum(X11,-1),X13) = nth1(X12,X11,cons(X12,X14,X13)) | tb2t(some(int,t2tb2(X11))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120)), 119.67/118.98 inference(superposition,[],[f8035,f1857])). 119.67/118.98 tff(f25964,plain,( 119.67/118.98 spl8_1766 | spl8_1778 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25872,f8227,f1810,f954,f25890,f25962,f25937])). 119.67/118.98 tff(f25937,plain,( 119.67/118.98 spl8_1766 <=> 0 = sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1766])])). 119.67/118.98 tff(f25872,plain,( 119.67/118.98 ( ! [X68:uni,X69:$int,X67:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X68)) | ~$less(sK7(sK2,-1),X69) | ~zero_at1(tb2t1(cons(int,X67,X68)),X69) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8911])). 119.67/118.98 tff(f8911,plain,( 119.67/118.98 ( ! [X6:uni,X4:ty,X5:uni,X3:$int] : (tb2t(some(int,t2tb2(X3))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | nth1(X4,$sum(X3,-1),X5) = nth1(X4,X3,cons(X4,X6,X5)) | 0 = sK7(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_120), 119.67/118.98 inference(superposition,[],[f8035,f287])). 119.67/118.98 tff(f25960,plain,( 119.67/118.98 spl8_1776 | spl8_1744 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25871,f8227,f8032,f1810,f25890,f25958])). 119.67/118.98 tff(f25958,plain,( 119.67/118.98 spl8_1776 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1776])])). 119.67/118.98 tff(f25871,plain,( 119.67/118.98 ( ! [X66:$int,X64:uni,X65:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X65)) | ~$less(sK7(sK2,-1),X66) | ~zero_at1(tb2t1(cons(int,X64,X65)),X66) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))) ) | (~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8901])). 119.67/118.98 tff(f8901,plain,( 119.67/118.98 ( ! [X70:uni,X68:$int,X71:uni,X69:ty] : (some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(X68),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X68),t2tb1(sK2))) | nth1(X69,$sum(X68,-1),X70) = nth1(X69,X68,cons(X69,X71,X70))) ) | ~spl8_876), 119.67/118.98 inference(forward_demodulation,[],[f8821,f238])). 119.67/118.98 tff(f238,plain,( 119.67/118.98 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 119.67/118.98 inference(cnf_transformation,[],[f27])). 119.67/118.98 tff(f27,axiom,( 119.67/118.98 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 119.67/118.98 tff(f8821,plain,( 119.67/118.98 ( ! [X70:uni,X68:$int,X71:uni,X69:ty] : (nth1(int,sK7(tb2t1(cons(int,t2tb2(X68),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X68),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | nth1(X69,$sum(X68,-1),X70) = nth1(X69,X68,cons(X69,X71,X70))) ) | ~spl8_876), 119.67/118.98 inference(superposition,[],[f238,f8033])). 119.67/118.98 tff(f25956,plain,( 119.67/118.98 spl8_1750 | spl8_1774 | spl8_1744 | ~spl8_100 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25870,f8227,f8032,f1810,f895,f25890,f25953,f25904])). 119.67/118.98 tff(f25953,plain,( 119.67/118.98 spl8_1774 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1774])])). 119.67/118.98 tff(f25870,plain,( 119.67/118.98 ( ! [X61:uni,X62:uni,X63:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X62)) | ~$less(sK7(sK2,-1),X63) | ~zero_at1(tb2t1(cons(int,X61,X62)),X63) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8826])). 119.67/118.98 tff(f8826,plain,( 119.67/118.98 ( ! [X54:uni,X52:ty,X53:uni,X51:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X52,$sum(X51,-1),X53) = nth1(X52,X51,cons(X52,X54,X53)) | tb2t(some(int,t2tb2(X51))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X51),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f1857,f8033])). 119.67/118.98 tff(f25955,plain,( 119.67/118.98 spl8_1756 | spl8_1774 | spl8_1744 | spl8_97 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25869,f8227,f8032,f1810,f878,f25890,f25953,f25916])). 119.67/118.98 tff(f25869,plain,( 119.67/118.98 ( ! [X59:uni,X60:$int,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X59)) | ~$less(sK7(sK2,-1),X60) | ~zero_at1(tb2t1(cons(int,X58,X59)),X60) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8825])). 119.67/118.98 tff(f8825,plain,( 119.67/118.98 ( ! [X47:$int,X50:uni,X48:ty,X49:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X47),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X47),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X48,$sum(X47,-1),X49) = nth1(X48,X47,cons(X48,X50,X49)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X47),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f5770,f8033])). 119.67/118.98 tff(f25951,plain,( 119.67/118.98 spl8_1768 | spl8_1772 | spl8_1744 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25868,f8227,f8032,f1810,f25890,f25949,f25940])). 119.67/118.98 tff(f25868,plain,( 119.67/118.98 ( ! [X57:$int,X56:uni,X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X56)) | ~$less(sK7(sK2,-1),X57) | ~zero_at1(tb2t1(cons(int,X55,X56)),X57) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8792])). 119.67/118.98 tff(f8792,plain,( 119.67/118.98 ( ! [X26:uni,X24:$int,X27:uni,X25:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X24),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X24),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X25,$sum(X24,-1),X26) = nth1(X25,X24,cons(X25,X27,X26)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X24),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | ~spl8_876), 119.67/118.98 inference(superposition,[],[f8033,f8033])). 119.67/118.98 tff(f25947,plain,( 119.67/118.98 spl8_1768 | spl8_1744 | spl8_1770 | ~spl8_100 | spl8_279 | ~spl8_876 | ~spl8_898 | ~spl8_1300), 119.67/118.98 inference(avatar_split_clause,[],[f25943,f14432,f8227,f8032,f1810,f895,f25945,f25890,f25940])). 119.67/118.98 tff(f25943,plain,( 119.67/118.98 ( ! [X50:uni,X51:$int,X49:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X50)) | ~$less(sK7(sK2,-1),X51) | ~zero_at1(tb2t1(cons(int,X49,X50)),X51) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_279 | ~spl8_876 | ~spl8_898 | ~spl8_1300)), 119.67/118.98 inference(forward_demodulation,[],[f25866,f14765])). 119.67/118.98 tff(f25866,plain,( 119.67/118.98 ( ! [X50:uni,X51:$int,X49:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X50)) | ~$less(sK7(sK2,-1),X51) | ~zero_at1(tb2t1(cons(int,X49,X50)),X51) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8788])). 119.67/118.98 tff(f8788,plain,( 119.67/118.98 ( ! [X10:uni,X8:$int,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X8),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X8),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(X8),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nth1(X9,$sum(X8,-1),X10) = nth1(X9,X8,cons(X9,X11,X10)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X8),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_876)), 119.67/118.98 inference(superposition,[],[f8033,f1857])). 119.67/118.98 tff(f25942,plain,( 119.67/118.98 spl8_1766 | spl8_1768 | spl8_1744 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25865,f8227,f8032,f1810,f25890,f25940,f25937])). 119.67/118.98 tff(f25865,plain,( 119.67/118.98 ( ! [X47:uni,X48:$int,X46:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X47)) | ~$less(sK7(sK2,-1),X48) | ~zero_at1(tb2t1(cons(int,X46,X47)),X48) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8786])). 119.67/118.98 tff(f8786,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | 0 = sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_876), 119.67/118.98 inference(superposition,[],[f8033,f287])). 119.67/118.98 tff(f25935,plain,( 119.67/118.98 spl8_1764 | spl8_1744 | spl8_279 | ~spl8_890 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25864,f8227,f8091,f1810,f25890,f25933])). 119.67/118.98 tff(f25933,plain,( 119.67/118.98 spl8_1764 <=> some(int,t2tb2(sK7(sK2,-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1764])])). 119.67/118.98 tff(f8091,plain,( 119.67/118.98 spl8_890 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_890])])). 119.67/118.98 tff(f25864,plain,( 119.67/118.98 ( ! [X45:$int,X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X44)) | ~$less(sK7(sK2,-1),X45) | ~zero_at1(tb2t1(cons(int,X43,X44)),X45) | some(int,t2tb2(sK7(sK2,-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))) ) | (~spl8_279 | ~spl8_890 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8112])). 119.67/118.98 tff(f8112,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (some(int,t2tb2(X0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X0),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_890), 119.67/118.98 inference(superposition,[],[f8092,f287])). 119.67/118.98 tff(f8092,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_890), 119.67/118.98 inference(avatar_component_clause,[],[f8091])). 119.67/118.98 tff(f25931,plain,( 119.67/118.98 spl8_1762 | spl8_1744 | ~spl8_120 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25863,f8227,f1810,f954,f25890,f25929])). 119.67/118.98 tff(f25929,plain,( 119.67/118.98 spl8_1762 <=> tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1762])])). 119.67/118.98 tff(f25863,plain,( 119.67/118.98 ( ! [X41:uni,X42:$int,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X41)) | ~$less(sK7(sK2,-1),X42) | ~zero_at1(tb2t1(cons(int,X40,X41)),X42) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8035])). 119.67/118.98 tff(f25927,plain,( 119.67/118.98 spl8_1760 | spl8_1744 | spl8_279 | ~spl8_876 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25862,f8227,f8032,f1810,f25890,f25925])). 119.67/118.98 tff(f25925,plain,( 119.67/118.98 spl8_1760 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1760])])). 119.67/118.98 tff(f25862,plain,( 119.67/118.98 ( ! [X39:$int,X37:uni,X38:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X38)) | ~$less(sK7(sK2,-1),X39) | ~zero_at1(tb2t1(cons(int,X37,X38)),X39) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))) ) | (~spl8_279 | ~spl8_876 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f8033])). 119.67/118.98 tff(f25923,plain,( 119.67/118.98 spl8_1758 | spl8_1744 | spl8_97 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25861,f8227,f1810,f878,f25890,f25921])). 119.67/118.98 tff(f25921,plain,( 119.67/118.98 spl8_1758 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1758])])). 119.67/118.98 tff(f25861,plain,( 119.67/118.98 ( ! [X35:uni,X36:$int,X34:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X35)) | ~$less(sK7(sK2,-1),X36) | ~zero_at1(tb2t1(cons(int,X34,X35)),X36) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f7558])). 119.67/118.98 tff(f7558,plain,( 119.67/118.98 ( ! [X54:ty,X56:uni,X55:uni,X53:$int] : (some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(X53),t2tb1(sK2)))),cons(int,t2tb2(X53),t2tb1(sK2))) | nth1(X54,$sum(X53,-1),X55) = nth1(X54,X53,cons(X54,X56,X55))) ) | ~spl8_97), 119.67/118.98 inference(forward_demodulation,[],[f7474,f238])). 119.67/118.98 tff(f7474,plain,( 119.67/118.98 ( ! [X54:ty,X56:uni,X55:uni,X53:$int] : (nth1(int,sK6(tb2t1(cons(int,t2tb2(X53),t2tb1(sK2)))),cons(int,t2tb2(X53),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | nth1(X54,$sum(X53,-1),X55) = nth1(X54,X53,cons(X54,X56,X55))) ) | ~spl8_97), 119.67/118.98 inference(superposition,[],[f238,f5770])). 119.67/118.98 tff(f25919,plain,( 119.67/118.98 spl8_1754 | spl8_1756 | spl8_1744 | spl8_97 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25859,f8227,f1810,f878,f25890,f25916,f25911])). 119.67/118.98 tff(f25911,plain,( 119.67/118.98 spl8_1754 <=> 0 = sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1754])])). 119.67/118.98 tff(f25859,plain,( 119.67/118.98 ( ! [X30:$int,X28:uni,X29:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X29)) | ~$less(sK7(sK2,-1),X30) | ~zero_at1(tb2t1(cons(int,X28,X29)),X30) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f7446])). 119.67/118.98 tff(f7446,plain,( 119.67/118.98 ( ! [X23:uni,X21:ty,X22:uni,X20:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X20),t2tb1(sK2)))),-1),t2tb1(sK2))) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22)) | 0 = sK6(tb2t1(cons(int,t2tb2(X20),t2tb1(sK2))))) ) | ~spl8_97), 119.67/118.98 inference(superposition,[],[f5770,f287])). 119.67/118.98 tff(f25918,plain,( 119.67/118.98 spl8_1756 | spl8_1744 | spl8_1752 | spl8_97 | ~spl8_100 | spl8_279 | ~spl8_898 | ~spl8_1300), 119.67/118.98 inference(avatar_split_clause,[],[f25914,f14432,f8227,f1810,f895,f878,f25907,f25890,f25916])). 119.67/118.98 tff(f25907,plain,( 119.67/118.98 spl8_1752 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1752])])). 119.67/118.98 tff(f25914,plain,( 119.67/118.98 ( ! [X26:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X26)) | ~$less(sK7(sK2,-1),X27) | ~zero_at1(tb2t1(cons(int,X25,X26)),X27) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_279 | ~spl8_898 | ~spl8_1300)), 119.67/118.98 inference(forward_demodulation,[],[f25858,f14765])). 119.67/118.98 tff(f25858,plain,( 119.67/118.98 ( ! [X26:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X26)) | ~$less(sK7(sK2,-1),X27) | ~zero_at1(tb2t1(cons(int,X25,X26)),X27) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f7444])). 119.67/118.98 tff(f7444,plain,( 119.67/118.98 ( ! [X14:uni,X12:$int,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X12),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X12),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X12),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X13,$sum(X12,-1),X14) = nth1(X13,X12,cons(X13,X15,X14)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X12),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100)), 119.67/118.98 inference(superposition,[],[f5770,f1857])). 119.67/118.98 tff(f25913,plain,( 119.67/118.98 spl8_1754 | spl8_1750 | spl8_1744 | ~spl8_100 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25854,f8227,f1810,f895,f25890,f25904,f25911])). 119.67/118.98 tff(f25854,plain,( 119.67/118.98 ( ! [X14:uni,X15:$int,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X14)) | ~$less(sK7(sK2,-1),X15) | ~zero_at1(tb2t1(cons(int,X13,X14)),X15) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f3289])). 119.67/118.98 tff(f3289,plain,( 119.67/118.98 ( ! [X14:uni,X12:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(X11))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2)))),-1),t2tb1(sK2))) | nth1(X12,$sum(X11,-1),X13) = nth1(X12,X11,cons(X12,X14,X13)) | 0 = sK6(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))))) ) | ~spl8_100), 119.67/118.98 inference(superposition,[],[f1857,f287])). 119.67/118.98 tff(f25909,plain,( 119.67/118.98 spl8_1750 | spl8_1744 | spl8_1752 | ~spl8_100 | spl8_279 | ~spl8_898 | ~spl8_1300), 119.67/118.98 inference(avatar_split_clause,[],[f25902,f14432,f8227,f1810,f895,f25907,f25890,f25904])). 119.67/118.98 tff(f25902,plain,( 119.67/118.98 ( ! [X12:$int,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X11)) | ~$less(sK7(sK2,-1),X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_279 | ~spl8_898 | ~spl8_1300)), 119.67/118.98 inference(forward_demodulation,[],[f25853,f14765])). 119.67/118.98 tff(f25853,plain,( 119.67/118.98 ( ! [X12:$int,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X11)) | ~$less(sK7(sK2,-1),X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f3287])). 119.67/118.98 tff(f3287,plain,( 119.67/118.98 ( ! [X6:uni,X4:ty,X5:uni,X3:$int] : (tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2))))),t2tb1(sK2)))) | nth1(X4,$sum(X3,-1),X5) = nth1(X4,X3,cons(X4,X6,X5)) | tb2t(some(int,t2tb2(X3))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(X3),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | ~spl8_100), 119.67/118.98 inference(superposition,[],[f1857,f1857])). 119.67/118.98 tff(f25901,plain,( 119.67/118.98 spl8_1748 | spl8_1744 | spl8_279 | ~spl8_286 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25852,f8227,f1839,f1810,f25890,f25899])). 119.67/118.98 tff(f25899,plain,( 119.67/118.98 spl8_1748 <=> some(int,t2tb2(sK7(sK2,-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1748])])). 119.67/118.98 tff(f1839,plain,( 119.67/118.98 spl8_286 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_286])])). 119.67/118.98 tff(f25852,plain,( 119.67/118.98 ( ! [X8:uni,X7:uni,X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X8)) | ~$less(sK7(sK2,-1),X9) | ~zero_at1(tb2t1(cons(int,X7,X8)),X9) | some(int,t2tb2(sK7(sK2,-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))) ) | (~spl8_279 | ~spl8_286 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f2627])). 119.67/118.98 tff(f2627,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (some(int,t2tb2(X0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),cons(int,t2tb2(X0),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_286), 119.67/118.98 inference(superposition,[],[f1840,f287])). 119.67/118.98 tff(f1840,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_286), 119.67/118.98 inference(avatar_component_clause,[],[f1839])). 119.67/118.98 tff(f25897,plain,( 119.67/118.98 spl8_1744 | spl8_1746 | ~spl8_100 | spl8_279 | ~spl8_898 | ~spl8_1300), 119.67/118.98 inference(avatar_split_clause,[],[f25893,f14432,f8227,f1810,f895,f25895,f25890])). 119.67/118.98 tff(f25893,plain,( 119.67/118.98 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(sK2,-1)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X5)) | ~$less(sK7(sK2,-1),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6)) ) | (~spl8_100 | ~spl8_279 | ~spl8_898 | ~spl8_1300)), 119.67/118.98 inference(forward_demodulation,[],[f25851,f14765])). 119.67/118.98 tff(f25851,plain,( 119.67/118.98 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X5)) | ~$less(sK7(sK2,-1),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6) | tb2t(some(int,t2tb2(sK7(sK2,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2)))),cons(int,t2tb2(sK7(sK2,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f1857])). 119.67/118.98 tff(f25892,plain,( 119.67/118.98 spl8_1742 | spl8_1744 | spl8_279 | ~spl8_898), 119.67/118.98 inference(avatar_split_clause,[],[f25850,f8227,f1810,f25890,f25887])). 119.67/118.98 tff(f25887,plain,( 119.67/118.98 spl8_1742 <=> 0 = sK7(sK2,-1)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1742])])). 119.67/118.98 tff(f25850,plain,( 119.67/118.98 ( ! [X2:uni,X3:$int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(sK2,-1),-1),X2)) | ~$less(sK7(sK2,-1),X3) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | 0 = sK7(sK2,-1)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(superposition,[],[f14222,f287])). 119.67/118.98 tff(f25848,plain,( 119.67/118.98 spl8_570 | spl8_1740 | ~spl8_12 | ~spl8_560), 119.67/118.98 inference(avatar_split_clause,[],[f25844,f5052,f751,f25846,f5071])). 119.67/118.98 tff(f5071,plain,( 119.67/118.98 spl8_570 <=> $less(length1(int,t2tb1(sK2)),1)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_570])])). 119.67/118.98 tff(f25846,plain,( 119.67/118.98 spl8_1740 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-2),X128)) | ~$less($sum(length1(int,t2tb1(sK2)),-1),$sum(1,length1(int,X128))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1740])])). 119.67/118.98 tff(f751,plain,( 119.67/118.98 spl8_12 <=> no_zero1(tb2t1(nil(int)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_12])])). 119.67/118.98 tff(f5052,plain,( 119.67/118.98 spl8_560 <=> ! [X5 : ty,X7 : uni,X6 : uni] : nth1(X5,$sum(length1(int,t2tb1(sK2)),-2),X6) = nth1(X5,$sum(length1(int,t2tb1(sK2)),-1),cons(X5,X7,X6))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_560])])). 119.67/118.98 tff(f25844,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less($sum(length1(int,t2tb1(sK2)),-1),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-2),X128)) | $less(length1(int,t2tb1(sK2)),1)) ) | (~spl8_12 | ~spl8_560)), 119.67/118.98 inference(forward_demodulation,[],[f25843,f273])). 119.67/118.98 tff(f273,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_21(X0,cons(X0,X1,X2)) = X2) )), 119.67/118.98 inference(cnf_transformation,[],[f82])). 119.67/118.98 tff(f82,plain,( 119.67/118.98 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_21(X0,cons(X0,X1,X2)) = X2), 119.67/118.98 inference(rectify,[],[f7])). 119.67/118.98 tff(f7,axiom,( 119.67/118.98 ! [X1 : ty,X2 : uni,X3 : uni] : cons_proj_21(X1,cons(X1,X2,X3)) = X3), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1)). 119.67/118.98 tff(f25843,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (~$less($sum(length1(int,t2tb1(sK2)),-1),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-2),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),1)) ) | (~spl8_12 | ~spl8_560)), 119.67/118.98 inference(forward_demodulation,[],[f25767,f244])). 119.67/118.98 tff(f244,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X1:uni] : (length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2))) )), 119.67/118.98 inference(cnf_transformation,[],[f64])). 119.67/118.98 tff(f64,plain,( 119.67/118.98 ! [X0 : ty] : (length1(X0,nil(X0)) = 0 & ! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)))), 119.67/118.98 inference(rectify,[],[f30])). 119.67/118.98 tff(f30,axiom,( 119.67/118.98 ! [X1 : ty] : (length1(X1,nil(X1)) = 0 & ! [X4 : uni,X5 : uni] : length1(X1,cons(X1,X4,X5)) = $sum(1,length1(X1,X5)))), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 119.67/118.98 tff(f25767,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-2),X128)) | ~$less($sum(length1(int,t2tb1(sK2)),-1),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),1)) ) | (~spl8_12 | ~spl8_560)), 119.67/118.98 inference(evaluation,[],[f25757])). 119.67/118.98 tff(f25757,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-2),X128)) | ~$less($sum(length1(int,t2tb1(sK2)),-1),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less($sum(length1(int,t2tb1(sK2)),-1),0)) ) | (~spl8_12 | ~spl8_560)), 119.67/118.98 inference(superposition,[],[f2241,f5053])). 119.67/118.98 tff(f5053,plain,( 119.67/118.98 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(length1(int,t2tb1(sK2)),-2),X6) = nth1(X5,$sum(length1(int,t2tb1(sK2)),-1),cons(X5,X7,X6))) ) | ~spl8_560), 119.67/118.98 inference(avatar_component_clause,[],[f5052])). 119.67/118.98 tff(f2241,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(X1,length1(int,X0)) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | $less(X1,0)) ) | ~spl8_12), 119.67/118.98 inference(forward_demodulation,[],[f2240,f234])). 119.67/118.98 tff(f2240,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | $less(X1,0) | ~$less(X1,length1(int,t2tb1(tb2t1(X0))))) ) | ~spl8_12), 119.67/118.98 inference(forward_demodulation,[],[f2238,f234])). 119.67/118.98 tff(f2238,plain,( 119.67/118.98 ( ! [X0:uni,X1:$int] : (cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(tb2t1(X0)))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(tb2t1(X0))))) ) | ~spl8_12), 119.67/118.98 inference(resolution,[],[f821,f250])). 119.67/118.98 tff(f250,plain,( 119.67/118.98 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(X1,0) | ~$less(X1,length1(int,t2tb1(X0))) | ~no_zero1(X0)) )), 119.67/118.98 inference(cnf_transformation,[],[f121])). 119.67/118.98 tff(f821,plain,( 119.67/118.98 ( ! [X1:uni] : (no_zero1(tb2t1(X1)) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_12), 119.67/118.98 inference(superposition,[],[f752,f260])). 119.67/118.98 tff(f260,plain,( 119.67/118.98 ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1) )), 119.67/118.98 inference(cnf_transformation,[],[f74])). 119.67/118.98 tff(f74,plain,( 119.67/118.98 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1)), 119.67/118.98 inference(rectify,[],[f32])). 119.67/118.98 tff(f32,axiom,( 119.67/118.98 ! [X1 : ty,X2 : uni] : (nil(X1) = X2 | cons(X1,cons_proj_11(X1,X2),cons_proj_21(X1,X2)) = X2)), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion1)). 119.67/118.98 tff(f752,plain,( 119.67/118.98 no_zero1(tb2t1(nil(int))) | ~spl8_12), 119.67/118.98 inference(avatar_component_clause,[],[f751])). 119.67/118.98 tff(f25842,plain,( 119.67/118.98 spl8_1738 | ~spl8_330 | ~spl8_560), 119.67/118.98 inference(avatar_split_clause,[],[f25681,f5052,f2348,f25840])). 119.67/118.98 tff(f25840,plain,( 119.67/118.98 spl8_1738 <=> nth1(int,$sum(length1(int,t2tb1(sK2)),-1),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK2)),-2),cons_proj_21(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1738])])). 119.67/118.98 tff(f2348,plain,( 119.67/118.98 spl8_330 <=> cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_330])])). 119.67/118.98 tff(f25681,plain,( 119.67/118.98 nth1(int,$sum(length1(int,t2tb1(sK2)),-1),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK2)),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_560)), 119.67/118.98 inference(superposition,[],[f5053,f2349])). 119.67/118.98 tff(f2349,plain,( 119.67/118.98 cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | ~spl8_330), 119.67/118.98 inference(avatar_component_clause,[],[f2348])). 119.67/118.98 tff(f25678,plain,( 119.67/118.98 ~spl8_1013 | spl8_1066 | ~spl8_1072), 119.67/118.98 inference(avatar_split_clause,[],[f25671,f10835,f10825,f25676])). 119.67/118.98 tff(f25676,plain,( 119.67/118.98 spl8_1013 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1013])])). 119.67/118.98 tff(f10825,plain,( 119.67/118.98 spl8_1066 <=> zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1066])])). 119.67/118.98 tff(f10835,plain,( 119.67/118.98 spl8_1072 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1072])])). 119.67/118.98 tff(f25671,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | ~spl8_1072), 119.67/118.98 inference(resolution,[],[f10836,f266])). 119.67/118.98 tff(f10836,plain,( 119.67/118.98 $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0) | ~spl8_1072), 119.67/118.98 inference(avatar_component_clause,[],[f10835])). 119.67/118.98 tff(f25670,plain,( 119.67/118.98 spl8_1736 | ~spl8_330 | ~spl8_334 | ~spl8_348 | spl8_675), 119.67/118.98 inference(avatar_split_clause,[],[f25666,f5624,f2410,f2378,f2348,f25668])). 119.67/118.98 tff(f25668,plain,( 119.67/118.98 spl8_1736 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-2),cons_proj_21(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1736])])). 119.67/118.98 tff(f2410,plain,( 119.67/118.98 spl8_348 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_348])])). 119.67/118.98 tff(f5624,plain,( 119.67/118.98 spl8_675 <=> ~zero_at1(sK2,0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_675])])). 119.67/118.98 tff(f25666,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_334 | ~spl8_348 | ~spl8_675)), 119.67/118.98 inference(forward_demodulation,[],[f25508,f2411])). 119.67/118.98 tff(f2411,plain,( 119.67/118.98 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | ~spl8_348), 119.67/118.98 inference(avatar_component_clause,[],[f2410])). 119.67/118.98 tff(f25508,plain,( 119.67/118.98 nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_334 | ~spl8_675)), 119.67/118.98 inference(superposition,[],[f9174,f2349])). 119.67/118.98 tff(f9174,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(nil(int))),-2),X1) = nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),cons(X0,X2,X1))) ) | (~spl8_334 | ~spl8_675)), 119.67/118.98 inference(evaluation,[],[f9162])). 119.67/118.98 tff(f9162,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X1) = nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),cons(X0,X2,X1))) ) | (~spl8_334 | ~spl8_675)), 119.67/118.98 inference(resolution,[],[f5638,f2379])). 119.67/118.98 tff(f5638,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~zero_at1(sK2,X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_675), 119.67/118.98 inference(superposition,[],[f5625,f287])). 119.67/118.98 tff(f5625,plain,( 119.67/118.98 ~zero_at1(sK2,0) | ~spl8_675), 119.67/118.98 inference(avatar_component_clause,[],[f5624])). 119.67/118.98 tff(f25493,plain,( 119.67/118.98 spl8_518 | spl8_1734 | ~spl8_12 | ~spl8_482), 119.67/118.98 inference(avatar_split_clause,[],[f25489,f4140,f751,f25491,f4622])). 119.67/118.98 tff(f4622,plain,( 119.67/118.98 spl8_518 <=> $less($sum($sum(sK3,$uminus(sK0)),-1),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_518])])). 119.67/118.98 tff(f25491,plain,( 119.67/118.98 spl8_1734 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),X128)) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),$sum(1,length1(int,X128))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1734])])). 119.67/118.98 tff(f4140,plain,( 119.67/118.98 spl8_482 <=> ! [X1 : ty,X3 : uni,X2 : uni] : nth1(X1,$sum($sum(sK3,$uminus(sK0)),-2),X2) = nth1(X1,$sum($sum(sK3,$uminus(sK0)),-1),cons(X1,X3,X2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_482])])). 119.67/118.98 tff(f25489,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),X128)) | $less($sum($sum(sK3,$uminus(sK0)),-1),0)) ) | (~spl8_12 | ~spl8_482)), 119.67/118.98 inference(forward_demodulation,[],[f25488,f273])). 119.67/118.98 tff(f25488,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (~$less($sum($sum(sK3,$uminus(sK0)),-1),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less($sum($sum(sK3,$uminus(sK0)),-1),0)) ) | (~spl8_12 | ~spl8_482)), 119.67/118.98 inference(forward_demodulation,[],[f25403,f244])). 119.67/118.98 tff(f25403,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),X128)) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less($sum($sum(sK3,$uminus(sK0)),-1),0)) ) | (~spl8_12 | ~spl8_482)), 119.67/118.98 inference(superposition,[],[f2241,f4141])). 119.67/118.98 tff(f4141,plain,( 119.67/118.98 ( ! [X2:uni,X3:uni,X1:ty] : (nth1(X1,$sum($sum(sK3,$uminus(sK0)),-2),X2) = nth1(X1,$sum($sum(sK3,$uminus(sK0)),-1),cons(X1,X3,X2))) ) | ~spl8_482), 119.67/118.98 inference(avatar_component_clause,[],[f4140])). 119.67/118.98 tff(f25487,plain,( 119.67/118.98 spl8_1732 | ~spl8_330 | ~spl8_482), 119.67/118.98 inference(avatar_split_clause,[],[f25327,f4140,f2348,f25485])). 119.67/118.98 tff(f25485,plain,( 119.67/118.98 spl8_1732 <=> nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),cons_proj_21(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1732])])). 119.67/118.98 tff(f25327,plain,( 119.67/118.98 nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus(sK0)),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_482)), 119.67/118.98 inference(superposition,[],[f4141,f2349])). 119.67/118.98 tff(f25320,plain,( 119.67/118.98 ~spl8_1731 | spl8_1289), 119.67/118.98 inference(avatar_split_clause,[],[f25316,f13510,f25318])). 119.67/118.98 tff(f25318,plain,( 119.67/118.98 spl8_1731 <=> ~zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1731])])). 119.67/118.98 tff(f13510,plain,( 119.67/118.98 spl8_1289 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1289])])). 119.67/118.98 tff(f25316,plain,( 119.67/118.98 ~zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2)) | ~spl8_1289), 119.67/118.98 inference(trivial_inequality_removal,[],[f25315])). 119.67/118.98 tff(f25315,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2)) | ~spl8_1289), 119.67/118.98 inference(superposition,[],[f13511,f268])). 119.67/118.98 tff(f268,plain,( 119.67/118.98 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) | ~zero_at1(X0,X1)) )), 119.67/118.98 inference(cnf_transformation,[],[f127])). 119.67/118.98 tff(f13511,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),t2tb1(sK2))) | ~spl8_1289), 119.67/118.98 inference(avatar_component_clause,[],[f13510])). 119.67/118.98 tff(f25174,plain,( 119.67/118.98 spl8_1728 | ~spl8_1725 | spl8_1409), 119.67/118.98 inference(avatar_split_clause,[],[f25170,f22343,f25161,f25172])). 119.67/118.98 tff(f25172,plain,( 119.67/118.98 spl8_1728 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),cons_proj_21(int,t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1728])])). 119.67/118.98 tff(f25161,plain,( 119.67/118.98 spl8_1725 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),cons_proj_21(int,t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1725])])). 119.67/118.98 tff(f22343,plain,( 119.67/118.98 spl8_1409 <=> ~zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1409])])). 119.67/118.98 tff(f25170,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),cons_proj_21(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),cons_proj_21(int,t2tb1(sK2)))) | ~spl8_1409), 119.67/118.98 inference(forward_demodulation,[],[f25169,f234])). 119.67/118.98 tff(f25169,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),cons_proj_21(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(tb2t1(cons_proj_21(int,t2tb1(sK2)))))) | ~spl8_1409), 119.67/118.98 inference(forward_demodulation,[],[f25155,f234])). 119.67/118.98 tff(f25155,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),t2tb1(tb2t1(cons_proj_21(int,t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(tb2t1(cons_proj_21(int,t2tb1(sK2)))))) | ~spl8_1409), 119.67/118.98 inference(resolution,[],[f22344,f267])). 119.67/118.98 tff(f22344,plain,( 119.67/118.98 ~zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)) | ~spl8_1409), 119.67/118.98 inference(avatar_component_clause,[],[f22343])). 119.67/118.98 tff(f25168,plain,( 119.67/118.98 ~spl8_1727 | ~spl8_1725 | spl8_1409), 119.67/118.98 inference(avatar_split_clause,[],[f25164,f22343,f25161,f25166])). 119.67/118.98 tff(f25166,plain,( 119.67/118.98 spl8_1727 <=> ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1727])])). 119.67/118.98 tff(f25164,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),cons_proj_21(int,t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),0) | ~spl8_1409), 119.67/118.98 inference(forward_demodulation,[],[f25154,f234])). 119.67/118.98 tff(f25154,plain,( 119.67/118.98 ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(tb2t1(cons_proj_21(int,t2tb1(sK2)))))) | ~spl8_1409), 119.67/118.98 inference(resolution,[],[f22344,f266])). 119.67/118.98 tff(f25163,plain,( 119.67/118.98 spl8_1722 | ~spl8_1725 | spl8_1409), 119.67/118.98 inference(avatar_split_clause,[],[f25156,f22343,f25161,f25158])). 119.67/118.98 tff(f25158,plain,( 119.67/118.98 spl8_1722 <=> $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),$sum(sK3,-1))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1722])])). 119.67/118.98 tff(f25156,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),cons_proj_21(int,t2tb1(sK2)))) | $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),$sum(sK3,-1)) | ~spl8_1409), 119.67/118.98 inference(forward_demodulation,[],[f25153,f234])). 119.67/118.98 tff(f25153,plain,( 119.67/118.98 $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)),$sum(sK3,-1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(tb2t1(cons_proj_21(int,t2tb1(sK2)))))) | ~spl8_1409), 119.67/118.98 inference(resolution,[],[f22344,f265])). 119.67/118.98 tff(f25082,plain,( 119.67/118.98 ~spl8_1715 | spl8_1720 | spl8_1711), 119.67/118.98 inference(avatar_split_clause,[],[f25067,f25019,f25080,f25069])). 119.67/118.98 tff(f25069,plain,( 119.67/118.98 spl8_1715 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1715])])). 119.67/118.98 tff(f25080,plain,( 119.67/118.98 spl8_1720 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus(sK0))),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1720])])). 119.67/118.98 tff(f25019,plain,( 119.67/118.98 spl8_1711 <=> ~zero_at1(sK2,$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1711])])). 119.67/118.98 tff(f25067,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2))) | ~spl8_1711), 119.67/118.98 inference(resolution,[],[f25020,f267])). 119.67/118.98 tff(f25020,plain,( 119.67/118.98 ~zero_at1(sK2,$sum(sK3,$uminus(sK0))) | ~spl8_1711), 119.67/118.98 inference(avatar_component_clause,[],[f25019])). 119.67/118.98 tff(f25078,plain,( 119.67/118.98 ~spl8_1715 | ~spl8_1719 | spl8_1711), 119.67/118.98 inference(avatar_split_clause,[],[f25066,f25019,f25076,f25069])). 119.67/118.98 tff(f25076,plain,( 119.67/118.98 spl8_1719 <=> ~$less(sK7(sK2,$sum(sK3,$uminus(sK0))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1719])])). 119.67/118.98 tff(f25066,plain,( 119.67/118.98 ~$less(sK7(sK2,$sum(sK3,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2))) | ~spl8_1711), 119.67/118.98 inference(resolution,[],[f25020,f266])). 119.67/118.98 tff(f25074,plain,( 119.67/118.98 ~spl8_1715 | spl8_1716 | spl8_1711), 119.67/118.98 inference(avatar_split_clause,[],[f25065,f25019,f25072,f25069])). 119.67/118.98 tff(f25072,plain,( 119.67/118.98 spl8_1716 <=> $less(sK7(sK2,$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1716])])). 119.67/118.98 tff(f25065,plain,( 119.67/118.98 $less(sK7(sK2,$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2))) | ~spl8_1711), 119.67/118.98 inference(resolution,[],[f25020,f265])). 119.67/118.98 tff(f25031,plain,( 119.67/118.98 spl8_1012 | ~spl8_1066), 119.67/118.98 inference(avatar_split_clause,[],[f25027,f10825,f10080])). 119.67/118.98 tff(f10080,plain,( 119.67/118.98 spl8_1012 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1012])])). 119.67/118.98 tff(f25027,plain,( 119.67/118.98 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | ~spl8_1066), 119.67/118.98 inference(resolution,[],[f10826,f268])). 119.67/118.98 tff(f10826,plain,( 119.67/118.98 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~spl8_1066), 119.67/118.98 inference(avatar_component_clause,[],[f10825])). 119.67/118.98 tff(f25024,plain,( 119.67/118.98 ~spl8_1711 | spl8_1712 | ~spl8_986 | ~spl8_1630), 119.67/118.98 inference(avatar_split_clause,[],[f25004,f24196,f9705,f25022,f25019])). 119.67/118.98 tff(f25022,plain,( 119.67/118.98 spl8_1712 <=> ! [X139 : ty,X141 : uni,X140 : uni] : nth1(X139,$sum(sK7(sK2,sK6(sK2)),-1),X140) = nth1(X139,sK7(sK2,sK6(sK2)),cons(X139,X141,X140))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1712])])). 119.67/118.98 tff(f9705,plain,( 119.67/118.98 spl8_986 <=> $less(0,$sum(sK3,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_986])])). 119.67/118.98 tff(f24196,plain,( 119.67/118.98 spl8_1630 <=> ! [X0 : $int] : (~$less(sK7(sK2,sK6(sK2)),X0) | ~zero_at1(sK2,X0))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1630])])). 119.67/118.98 tff(f25004,plain,( 119.67/118.98 ( ! [X140:uni,X141:uni,X139:ty] : (nth1(X139,$sum(sK7(sK2,sK6(sK2)),-1),X140) = nth1(X139,sK7(sK2,sK6(sK2)),cons(X139,X141,X140)) | ~zero_at1(sK2,$sum(sK3,$uminus(sK0)))) ) | (~spl8_986 | ~spl8_1630)), 119.67/118.98 inference(resolution,[],[f9717,f24197])). 119.67/118.98 tff(f24197,plain,( 119.67/118.98 ( ! [X0:$int] : (~$less(sK7(sK2,sK6(sK2)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1630), 119.67/118.98 inference(avatar_component_clause,[],[f24196])). 119.67/118.98 tff(f9717,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(X0,$sum(sK3,$uminus(sK0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_986), 119.67/118.98 inference(superposition,[],[f9706,f287])). 119.67/118.98 tff(f9706,plain,( 119.67/118.98 $less(0,$sum(sK3,$uminus(sK0))) | ~spl8_986), 119.67/118.98 inference(avatar_component_clause,[],[f9705])). 119.67/118.98 tff(f25017,plain,( 119.67/118.98 spl8_1708 | spl8_1474 | spl8_279 | ~spl8_898 | ~spl8_986), 119.67/118.98 inference(avatar_split_clause,[],[f25002,f9705,f8227,f1810,f22933,f25015])). 119.67/118.98 tff(f25015,plain,( 119.67/118.98 spl8_1708 <=> ! [X132 : list_int] : (~zero_at1(X132,sK7(sK2,-1)) | ~zero_at1(X132,$sum(sK3,$uminus(sK0))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1708])])). 119.67/118.98 tff(f22933,plain,( 119.67/118.98 spl8_1474 <=> ! [X117 : uni,X116 : ty,X118 : uni] : nth1(X116,$sum(sK7(sK2,-1),-1),X117) = nth1(X116,sK7(sK2,-1),cons(X116,X118,X117))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1474])])). 119.67/118.98 tff(f25002,plain,( 119.67/118.98 ( ! [X132:list_int,X130:uni,X131:uni,X129:ty] : (nth1(X129,$sum(sK7(sK2,-1),-1),X130) = nth1(X129,sK7(sK2,-1),cons(X129,X131,X130)) | ~zero_at1(X132,sK7(sK2,-1)) | ~zero_at1(X132,$sum(sK3,$uminus(sK0)))) ) | (~spl8_279 | ~spl8_898 | ~spl8_986)), 119.67/118.98 inference(resolution,[],[f9717,f14232])). 119.67/118.98 tff(f14232,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (~$less(sK7(sK2,-1),X2) | ~zero_at1(X1,sK7(sK2,-1)) | ~zero_at1(X1,X2)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(evaluation,[],[f14231])). 119.67/118.98 tff(f14231,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (~zero_at1(X1,sK7(sK2,$sum(0,-1))) | ~$less(sK7(sK2,-1),X2) | ~zero_at1(X1,X2)) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(forward_demodulation,[],[f14230,f8228])). 119.67/118.98 tff(f14230,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (~$less(sK7(sK2,-1),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(evaluation,[],[f14229])). 119.67/118.98 tff(f14229,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (~$less(sK7(sK2,$sum(0,-1)),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) ) | (~spl8_279 | ~spl8_898)), 119.67/118.98 inference(forward_demodulation,[],[f14212,f8228])). 119.67/118.98 tff(f14212,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) ) | ~spl8_279), 119.67/118.98 inference(trivial_inequality_removal,[],[f14211])). 119.67/118.98 tff(f14211,plain,( 119.67/118.98 ( ! [X2:$int,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) ) | ~spl8_279), 119.67/118.98 inference(superposition,[],[f8106,f268])). 119.67/118.98 tff(f24930,plain,( 119.67/118.98 spl8_552 | spl8_558 | ~spl8_12 | ~spl8_148 | spl8_151), 119.67/118.98 inference(avatar_split_clause,[],[f24929,f1084,f1080,f751,f5032,f5020])). 119.67/118.98 tff(f5020,plain,( 119.67/118.98 spl8_552 <=> $less(length1(int,t2tb1(sK2)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_552])])). 119.67/118.98 tff(f5032,plain,( 119.67/118.98 spl8_558 <=> ! [X44 : uni,X43 : uni] : (cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),X44) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X44)) | ~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,X44))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_558])])). 119.67/118.98 tff(f1080,plain,( 119.67/118.98 spl8_148 <=> $less(sK6(sK2),length1(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_148])])). 119.67/118.98 tff(f1084,plain,( 119.67/118.98 spl8_151 <=> ~$less(sK6(sK2),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_151])])). 119.67/118.98 tff(f24929,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X128)) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_148 | ~spl8_151)), 119.67/118.98 inference(forward_demodulation,[],[f24928,f273])). 119.67/118.98 tff(f24928,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_148 | ~spl8_151)), 119.67/118.98 inference(forward_demodulation,[],[f24921,f244])). 119.67/118.98 tff(f24921,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X128)) | ~$less(length1(int,t2tb1(sK2)),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_148 | ~spl8_151)), 119.67/118.98 inference(superposition,[],[f2241,f9179])). 119.67/118.98 tff(f9179,plain,( 119.67/118.98 ( ! [X8:uni,X7:ty,X9:uni] : (nth1(X7,$sum(length1(int,t2tb1(sK2)),-1),X8) = nth1(X7,length1(int,t2tb1(sK2)),cons(X7,X9,X8))) ) | (~spl8_148 | ~spl8_151)), 119.67/118.98 inference(resolution,[],[f1578,f1081])). 119.67/118.98 tff(f1081,plain,( 119.67/118.98 $less(sK6(sK2),length1(int,t2tb1(sK2))) | ~spl8_148), 119.67/118.98 inference(avatar_component_clause,[],[f1080])). 119.67/118.98 tff(f1578,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK6(sK2),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_151), 119.67/118.98 inference(superposition,[],[f1085,f287])). 119.67/118.98 tff(f1085,plain,( 119.67/118.98 ~$less(sK6(sK2),0) | ~spl8_151), 119.67/118.98 inference(avatar_component_clause,[],[f1084])). 119.67/118.98 tff(f24927,plain,( 119.67/118.98 spl8_856 | ~spl8_148 | spl8_151 | ~spl8_330), 119.67/118.98 inference(avatar_split_clause,[],[f24909,f2348,f1084,f1080,f7947])). 119.67/118.98 tff(f7947,plain,( 119.67/118.98 spl8_856 <=> nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK2)),-1),cons_proj_21(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_856])])). 119.67/118.98 tff(f24909,plain,( 119.67/118.98 nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK2)),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_148 | ~spl8_151 | ~spl8_330)), 119.67/118.98 inference(superposition,[],[f9179,f2349])). 119.67/118.98 tff(f24906,plain,( 119.67/118.98 ~spl8_1698), 119.67/118.98 inference(avatar_contradiction_clause,[],[f24902])). 119.67/118.98 tff(f24902,plain,( 119.67/118.98 $false | ~spl8_1698), 119.67/118.98 inference(resolution,[],[f24724,f251])). 119.67/118.98 tff(f251,plain,( 119.67/118.98 ( ! [X0:ty,X1:uni] : (~$less(length1(X0,X1),0)) )), 119.67/118.98 inference(cnf_transformation,[],[f67])). 119.67/118.98 tff(f67,plain,( 119.67/118.98 ! [X0 : ty,X1 : uni] : ~$less(length1(X0,X1),0)), 119.67/118.98 inference(rectify,[],[f49])). 119.67/118.98 tff(f49,plain,( 119.67/118.98 ! [X1 : ty,X8 : uni] : ~$less(length1(X1,X8),0)), 119.67/118.98 inference(evaluation,[],[f20])). 119.67/118.98 tff(f20,axiom,( 119.67/118.98 ! [X1 : ty,X8 : uni] : $lesseq(0,length1(X1,X8))), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)). 119.67/118.98 tff(f24724,plain,( 119.67/118.98 $less(length1(int,t2tb1(sK5)),0) | ~spl8_1698), 119.67/118.98 inference(avatar_component_clause,[],[f24723])). 119.67/118.98 tff(f24723,plain,( 119.67/118.98 spl8_1698 <=> $less(length1(int,t2tb1(sK5)),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1698])])). 119.67/118.98 tff(f24901,plain,( 119.67/118.98 spl8_1704 | spl8_1706 | ~spl8_12 | spl8_91 | ~spl8_98), 119.67/118.98 inference(avatar_split_clause,[],[f24894,f889,f866,f751,f24899,f24896])). 119.67/118.98 tff(f24896,plain,( 119.67/118.98 spl8_1704 <=> $less(length1(int,t2tb1(sK2)),-1)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1704])])). 119.67/118.98 tff(f24899,plain,( 119.67/118.98 spl8_1706 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X128)) | ~$less($sum(1,length1(int,t2tb1(sK2))),$sum(1,length1(int,X128))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1706])])). 119.67/118.98 tff(f866,plain,( 119.67/118.98 spl8_91 <=> ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0)), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_91])])). 119.67/118.98 tff(f889,plain,( 119.67/118.98 spl8_98 <=> $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_98])])). 119.67/118.98 tff(f24894,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less($sum(1,length1(int,t2tb1(sK2))),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X128)) | $less(length1(int,t2tb1(sK2)),-1)) ) | (~spl8_12 | ~spl8_91 | ~spl8_98)), 119.67/118.98 inference(forward_demodulation,[],[f24893,f273])). 119.67/118.98 tff(f24893,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (~$less($sum(1,length1(int,t2tb1(sK2))),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),-1)) ) | (~spl8_12 | ~spl8_91 | ~spl8_98)), 119.67/118.98 inference(forward_demodulation,[],[f24817,f244])). 119.67/118.98 tff(f24817,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X128)) | ~$less($sum(1,length1(int,t2tb1(sK2))),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK2)),-1)) ) | (~spl8_12 | ~spl8_91 | ~spl8_98)), 119.67/118.98 inference(evaluation,[],[f24807])). 119.67/118.98 tff(f24807,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X128)) | ~$less($sum(1,length1(int,t2tb1(sK2))),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less($sum(1,length1(int,t2tb1(sK2))),0)) ) | (~spl8_12 | ~spl8_91 | ~spl8_98)), 119.67/118.98 inference(superposition,[],[f2241,f8277])). 119.67/118.98 tff(f8277,plain,( 119.67/118.98 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,length1(int,t2tb1(sK2)),X1) = nth1(X0,$sum(1,length1(int,t2tb1(sK2))),cons(X0,X2,X1))) ) | (~spl8_91 | ~spl8_98)), 119.67/118.98 inference(condensation,[],[f8276])). 119.67/118.98 tff(f8276,plain,( 119.67/118.98 ( ! [X30:uni,X28:uni,X26:ty,X31:uni,X29:ty,X27:uni] : (nth1(X29,length1(int,t2tb1(sK2)),X30) = nth1(X29,$sum(1,length1(int,t2tb1(sK2))),cons(X29,X31,X30)) | nth1(X26,length1(int,t2tb1(sK2)),X27) = nth1(X26,$sum(1,length1(int,t2tb1(sK2))),cons(X26,X28,X27))) ) | (~spl8_91 | ~spl8_98)), 119.67/118.98 inference(evaluation,[],[f8275])). 119.67/118.98 tff(f8275,plain,( 119.67/118.98 ( ! [X30:uni,X28:uni,X26:ty,X31:uni,X29:ty,X27:uni] : (nth1(X29,$sum($sum(1,length1(int,t2tb1(sK2))),-1),X30) = nth1(X29,$sum(1,length1(int,t2tb1(sK2))),cons(X29,X31,X30)) | nth1(X26,length1(int,t2tb1(sK2)),X27) = nth1(X26,$sum(1,length1(int,t2tb1(sK2))),cons(X26,X28,X27))) ) | (~spl8_91 | ~spl8_98)), 119.67/118.98 inference(forward_demodulation,[],[f6688,f235])). 119.67/118.98 tff(f235,plain,( 119.67/118.98 ( ! [X0:$int] : (tb2t2(t2tb2(X0)) = X0) )), 119.67/118.98 inference(cnf_transformation,[],[f57])). 119.67/118.98 tff(f57,plain,( 119.67/118.98 ! [X0 : $int] : tb2t2(t2tb2(X0)) = X0), 119.67/118.98 inference(rectify,[],[f44])). 119.67/118.98 tff(f44,axiom,( 119.67/118.98 ! [X9 : $int] : tb2t2(t2tb2(X9)) = X9), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 119.67/118.98 tff(f6688,plain,( 119.67/118.98 ( ! [X30:uni,X28:uni,X26:ty,X31:uni,X29:ty,X27:uni] : (nth1(X26,length1(int,t2tb1(sK2)),X27) = nth1(X26,$sum(1,length1(int,t2tb1(sK2))),cons(X26,X28,X27)) | nth1(X29,$sum(tb2t2(t2tb2($sum(1,length1(int,t2tb1(sK2))))),-1),X30) = nth1(X29,tb2t2(t2tb2($sum(1,length1(int,t2tb1(sK2))))),cons(X29,X31,X30))) ) | (~spl8_91 | ~spl8_98)), 119.67/118.98 inference(evaluation,[],[f6674])). 119.67/118.98 tff(f6674,plain,( 119.67/118.98 ( ! [X30:uni,X28:uni,X26:ty,X31:uni,X29:ty,X27:uni] : (nth1(X26,$sum($sum(1,length1(int,t2tb1(sK2))),-1),X27) = nth1(X26,$sum(1,length1(int,t2tb1(sK2))),cons(X26,X28,X27)) | nth1(X29,$sum(tb2t2(t2tb2($sum(1,length1(int,t2tb1(sK2))))),-1),X30) = nth1(X29,tb2t2(t2tb2($sum(1,length1(int,t2tb1(sK2))))),cons(X29,X31,X30))) ) | (~spl8_91 | ~spl8_98)), 119.67/118.98 inference(resolution,[],[f5607,f3030])). 119.67/118.98 tff(f3030,plain,( 119.67/118.98 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : ($less(sK6(tb2t1(cons(int,X0,t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_98), 119.67/118.98 inference(superposition,[],[f1596,f237])). 119.67/118.98 tff(f237,plain,( 119.67/118.98 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 119.67/118.98 inference(cnf_transformation,[],[f17])). 119.67/118.98 tff(f17,axiom,( 119.67/118.98 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 119.67/118.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 119.67/118.98 tff(f1596,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_98), 119.67/118.98 inference(superposition,[],[f890,f287])). 119.67/118.98 tff(f890,plain,( 119.67/118.98 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_98), 119.67/118.98 inference(avatar_component_clause,[],[f889])). 119.67/118.98 tff(f5607,plain,( 119.67/118.98 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_91), 119.67/118.98 inference(superposition,[],[f867,f287])). 119.67/118.98 tff(f867,plain,( 119.67/118.98 ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | ~spl8_91), 119.67/118.98 inference(avatar_component_clause,[],[f866])). 119.67/118.98 tff(f24892,plain,( 119.67/118.98 spl8_1702 | spl8_91 | ~spl8_98 | ~spl8_330), 119.67/118.98 inference(avatar_split_clause,[],[f24731,f2348,f889,f866,f24890])). 119.67/118.98 tff(f24890,plain,( 119.67/118.98 spl8_1702 <=> nth1(int,length1(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1702])])). 119.67/118.98 tff(f24731,plain,( 119.67/118.98 nth1(int,length1(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2)) | (~spl8_91 | ~spl8_98 | ~spl8_330)), 119.67/118.98 inference(superposition,[],[f8277,f2349])). 119.67/118.98 tff(f24728,plain,( 119.67/118.98 spl8_1698 | spl8_1700 | ~spl8_12 | ~spl8_768), 119.67/118.98 inference(avatar_split_clause,[],[f24721,f7004,f751,f24726,f24723])). 119.67/118.98 tff(f24726,plain,( 119.67/118.98 spl8_1700 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK5)),-1),X128)) | ~$less(length1(int,t2tb1(sK5)),$sum(1,length1(int,X128))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1700])])). 119.67/118.98 tff(f7004,plain,( 119.67/118.98 spl8_768 <=> ! [X122 : ty,X124 : uni,X123 : uni] : nth1(X122,$sum(length1(int,t2tb1(sK5)),-1),X123) = nth1(X122,length1(int,t2tb1(sK5)),cons(X122,X124,X123))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_768])])). 119.67/118.98 tff(f24721,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less(length1(int,t2tb1(sK5)),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK5)),-1),X128)) | $less(length1(int,t2tb1(sK5)),0)) ) | (~spl8_12 | ~spl8_768)), 119.67/118.98 inference(forward_demodulation,[],[f24720,f273])). 119.67/118.98 tff(f24720,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (~$less(length1(int,t2tb1(sK5)),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK5)),-1),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK5)),0)) ) | (~spl8_12 | ~spl8_768)), 119.67/118.98 inference(forward_demodulation,[],[f24710,f244])). 119.67/118.98 tff(f24710,plain,( 119.67/118.98 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK5)),-1),X128)) | ~$less(length1(int,t2tb1(sK5)),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(length1(int,t2tb1(sK5)),0)) ) | (~spl8_12 | ~spl8_768)), 119.67/118.98 inference(superposition,[],[f2241,f7005])). 119.67/118.98 tff(f7005,plain,( 119.67/118.98 ( ! [X123:uni,X124:uni,X122:ty] : (nth1(X122,$sum(length1(int,t2tb1(sK5)),-1),X123) = nth1(X122,length1(int,t2tb1(sK5)),cons(X122,X124,X123))) ) | ~spl8_768), 119.67/118.98 inference(avatar_component_clause,[],[f7004])). 119.67/118.98 tff(f24719,plain,( 119.67/118.98 spl8_1696 | ~spl8_330 | ~spl8_768), 119.67/118.98 inference(avatar_split_clause,[],[f24698,f7004,f2348,f24717])). 119.67/118.98 tff(f24717,plain,( 119.67/118.98 spl8_1696 <=> nth1(int,length1(int,t2tb1(sK5)),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK5)),-1),cons_proj_21(int,t2tb1(sK2)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1696])])). 119.67/118.98 tff(f24698,plain,( 119.67/118.98 nth1(int,length1(int,t2tb1(sK5)),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK5)),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_768)), 119.67/118.98 inference(superposition,[],[f7005,f2349])). 119.67/118.98 tff(f24632,plain,( 119.67/118.98 spl8_1674 | spl8_1694 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.98 inference(avatar_split_clause,[],[f24581,f7008,f1101,f522,f24630,f24592])). 119.67/118.98 tff(f24592,plain,( 119.67/118.98 spl8_1674 <=> ! [X13 : ty,X15 : uni,X14 : uni] : nth1(X13,$sum(sK6(sK2),-2),X14) = nth1(X13,$sum(sK6(sK2),-1),cons(X13,X15,X14))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1674])])). 119.67/118.98 tff(f24630,plain,( 119.67/118.98 spl8_1694 <=> ! [X51 : uni,X46 : $int,X50 : ty,X52 : uni,X45 : uni] : (tb2t(some(int,t2tb2(X46))) != tb2t(nth1(int,sK6(sK2),X45)) | nil(int) = X45 | nth1(X50,$sum(X46,-1),X51) = nth1(X50,X46,cons(X50,X52,X51)) | cons(int,cons_proj_11(int,cons_proj_21(int,X45)),cons_proj_21(int,cons_proj_21(int,X45))) = cons_proj_21(int,X45) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X45)),$sum(sK6(sK2),-1)),cons_proj_21(int,X45))))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_1694])])). 119.67/118.98 tff(f522,plain,( 119.67/118.98 spl8_41 <=> ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0)))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_41])])). 119.67/118.98 tff(f1101,plain,( 119.67/118.98 spl8_154 <=> 0 = $sum(sK0,$uminus(sK0))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_154])])). 119.67/118.98 tff(f7008,plain,( 119.67/118.98 spl8_770 <=> ! [X131 : ty,X133 : uni,X132 : uni] : nth1(X131,$sum(sK6(sK2),-1),X132) = nth1(X131,sK6(sK2),cons(X131,X133,X132))), 119.67/118.98 introduced(avatar_definition,[new_symbols(naming,[spl8_770])])). 119.67/118.99 tff(f24581,plain,( 119.67/118.99 ( ! [X47:ty,X45:uni,X52:uni,X50:ty,X48:uni,X46:$int,X51:uni,X49:uni] : (tb2t(some(int,t2tb2(X46))) != tb2t(nth1(int,sK6(sK2),X45)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X45)),$sum(sK6(sK2),-1)),cons_proj_21(int,X45))) | cons(int,cons_proj_11(int,cons_proj_21(int,X45)),cons_proj_21(int,cons_proj_21(int,X45))) = cons_proj_21(int,X45) | nth1(X47,$sum(sK6(sK2),-2),X48) = nth1(X47,$sum(sK6(sK2),-1),cons(X47,X49,X48)) | nth1(X50,$sum(X46,-1),X51) = nth1(X50,X46,cons(X50,X52,X51)) | nil(int) = X45) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24579])). 119.67/118.99 tff(f24579,plain,( 119.67/118.99 ( ! [X47:ty,X45:uni,X52:uni,X50:ty,X48:uni,X46:$int,X51:uni,X49:uni] : (tb2t(some(int,t2tb2(X46))) != tb2t(nth1(int,sK6(sK2),X45)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X45)),$sum(sK6(sK2),-1)),cons_proj_21(int,X45))) | cons(int,cons_proj_11(int,cons_proj_21(int,X45)),cons_proj_21(int,cons_proj_21(int,X45))) = cons_proj_21(int,X45) | nth1(X47,$sum($sum(sK6(sK2),-1),-1),X48) = nth1(X47,$sum(sK6(sK2),-1),cons(X47,X49,X48)) | nth1(X50,$sum(X46,-1),X51) = nth1(X50,X46,cons(X50,X52,X51)) | nil(int) = X45) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f3530,f24227])). 119.67/118.99 tff(f24227,plain,( 119.67/118.99 ( ! [X0:ty,X1:uni] : (nth1(X0,sK6(sK2),X1) = nth1(X0,$sum(sK6(sK2),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_770), 119.67/118.99 inference(superposition,[],[f7009,f260])). 119.67/118.99 tff(f7009,plain,( 119.67/118.99 ( ! [X132:uni,X133:uni,X131:ty] : (nth1(X131,$sum(sK6(sK2),-1),X132) = nth1(X131,sK6(sK2),cons(X131,X133,X132))) ) | ~spl8_770), 119.67/118.99 inference(avatar_component_clause,[],[f7008])). 119.67/118.99 tff(f3530,plain,( 119.67/118.99 ( ! [X6:ty,X4:uni,X2:uni,X0:$int,X8:uni,X7:uni,X5:uni,X3:ty,X1:$int] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X1,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),X1),X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2 | nth1(X3,$sum(X1,-1),X4) = nth1(X3,X1,cons(X3,X5,X4)) | nth1(X6,$sum(X0,-1),X7) = nth1(X6,X0,cons(X6,X8,X7))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1948,f287])). 119.67/118.99 tff(f1948,plain,( 119.67/118.99 ( ! [X14:ty,X17:uni,X15:$int,X13:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,X13)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X13),X15),X13)) | cons(int,cons_proj_11(int,X13),cons_proj_21(int,X13)) = X13 | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1947,f234])). 119.67/118.99 tff(f1947,plain,( 119.67/118.99 ( ! [X14:ty,X17:uni,X15:$int,X13:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X13),X15),X13)) | cons(int,cons_proj_11(int,X13),cons_proj_21(int,X13)) = X13 | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(tb2t1(X13))))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1939,f234])). 119.67/118.99 tff(f1939,plain,( 119.67/118.99 ( ! [X14:ty,X17:uni,X15:$int,X13:uni,X16:uni] : (cons(int,cons_proj_11(int,X13),cons_proj_21(int,X13)) = X13 | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X13),X15),t2tb1(tb2t1(X13)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(tb2t1(X13))))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(resolution,[],[f1425,f267])). 119.67/118.99 tff(f1425,plain,( 119.67/118.99 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (~zero_at1(tb2t1(X1),X0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1405,f287])). 119.67/118.99 tff(f1405,plain,( 119.67/118.99 ( ! [X1:uni] : (~zero_at1(tb2t1(X1),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f724,f1102])). 119.67/118.99 tff(f1102,plain,( 119.67/118.99 0 = $sum(sK0,$uminus(sK0)) | ~spl8_154), 119.67/118.99 inference(avatar_component_clause,[],[f1101])). 119.67/118.99 tff(f724,plain,( 119.67/118.99 ( ! [X1:uni] : (~zero_at1(tb2t1(X1),$sum(sK0,$uminus(sK0))) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_41), 119.67/118.99 inference(superposition,[],[f523,f260])). 119.67/118.99 tff(f523,plain,( 119.67/118.99 ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.67/118.99 inference(avatar_component_clause,[],[f522])). 119.67/118.99 tff(f24628,plain,( 119.67/118.99 spl8_1674 | spl8_1692 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24582,f7008,f1101,f522,f24626,f24592])). 119.67/118.99 tff(f24626,plain,( 119.67/118.99 spl8_1692 <=> ! [X42 : ty,X44 : uni,X38 : $int,X43 : uni,X37 : uni] : (tb2t(some(int,t2tb2(X38))) != tb2t(nth1(int,sK6(sK2),X37)) | nil(int) = X37 | nth1(X42,$sum(X38,-1),X43) = nth1(X42,X38,cons(X42,X44,X43)) | ~$less(sK7(tb2t1(cons_proj_21(int,X37)),$sum(sK6(sK2),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X37)),cons_proj_21(int,cons_proj_21(int,X37))) = cons_proj_21(int,X37))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1692])])). 119.67/118.99 tff(f24582,plain,( 119.67/118.99 ( ! [X39:ty,X37:uni,X43:uni,X41:uni,X38:$int,X44:uni,X42:ty,X40:uni] : (tb2t(some(int,t2tb2(X38))) != tb2t(nth1(int,sK6(sK2),X37)) | cons(int,cons_proj_11(int,cons_proj_21(int,X37)),cons_proj_21(int,cons_proj_21(int,X37))) = cons_proj_21(int,X37) | nth1(X39,$sum(sK6(sK2),-2),X40) = nth1(X39,$sum(sK6(sK2),-1),cons(X39,X41,X40)) | ~$less(sK7(tb2t1(cons_proj_21(int,X37)),$sum(sK6(sK2),-1)),0) | nth1(X42,$sum(X38,-1),X43) = nth1(X42,X38,cons(X42,X44,X43)) | nil(int) = X37) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24578])). 119.67/118.99 tff(f24578,plain,( 119.67/118.99 ( ! [X39:ty,X37:uni,X43:uni,X41:uni,X38:$int,X44:uni,X42:ty,X40:uni] : (tb2t(some(int,t2tb2(X38))) != tb2t(nth1(int,sK6(sK2),X37)) | cons(int,cons_proj_11(int,cons_proj_21(int,X37)),cons_proj_21(int,cons_proj_21(int,X37))) = cons_proj_21(int,X37) | nth1(X39,$sum($sum(sK6(sK2),-1),-1),X40) = nth1(X39,$sum(sK6(sK2),-1),cons(X39,X41,X40)) | ~$less(sK7(tb2t1(cons_proj_21(int,X37)),$sum(sK6(sK2),-1)),0) | nth1(X42,$sum(X38,-1),X43) = nth1(X42,X38,cons(X42,X44,X43)) | nil(int) = X37) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f3436,f24227])). 119.67/118.99 tff(f3436,plain,( 119.67/118.99 ( ! [X6:ty,X4:uni,X2:uni,X0:$int,X8:uni,X7:uni,X5:uni,X3:ty,X1:$int] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X1,X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2 | nth1(X3,$sum(X1,-1),X4) = nth1(X3,X1,cons(X3,X5,X4)) | ~$less(sK7(tb2t1(X2),X1),0) | nth1(X6,$sum(X0,-1),X7) = nth1(X6,X0,cons(X6,X8,X7))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1946,f287])). 119.67/118.99 tff(f1946,plain,( 119.67/118.99 ( ! [X12:uni,X10:$int,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,X8)) | cons(int,cons_proj_11(int,X8),cons_proj_21(int,X8)) = X8 | nth1(X9,$sum(X10,-1),X11) = nth1(X9,X10,cons(X9,X12,X11)) | ~$less(sK7(tb2t1(X8),X10),0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1938,f234])). 119.67/118.99 tff(f1938,plain,( 119.67/118.99 ( ! [X12:uni,X10:$int,X8:uni,X11:uni,X9:ty] : (cons(int,cons_proj_11(int,X8),cons_proj_21(int,X8)) = X8 | nth1(X9,$sum(X10,-1),X11) = nth1(X9,X10,cons(X9,X12,X11)) | ~$less(sK7(tb2t1(X8),X10),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(tb2t1(X8))))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(resolution,[],[f1425,f266])). 119.67/118.99 tff(f24624,plain,( 119.67/118.99 spl8_1674 | spl8_1690 | ~spl8_186 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24583,f7008,f2831,f24622,f24592])). 119.67/118.99 tff(f24622,plain,( 119.67/118.99 spl8_1690 <=> ! [X33 : uni] : (tb2t(nth1(int,sK6(sK2),X33)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | nil(int) = X33 | zero_at1(tb2t1(cons_proj_21(int,X33)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X33)),cons_proj_21(int,cons_proj_21(int,X33))) = cons_proj_21(int,X33))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1690])])). 119.67/118.99 tff(f2831,plain,( 119.67/118.99 spl8_186 <=> $less(sK7(tb2t1(nil(int)),0),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_186])])). 119.67/118.99 tff(f24583,plain,( 119.67/118.99 ( ! [X35:uni,X33:uni,X36:uni,X34:ty] : (tb2t(nth1(int,sK6(sK2),X33)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,X33)),cons_proj_21(int,cons_proj_21(int,X33))) = cons_proj_21(int,X33) | zero_at1(tb2t1(cons_proj_21(int,X33)),0) | nth1(X34,$sum(sK6(sK2),-2),X35) = nth1(X34,$sum(sK6(sK2),-1),cons(X34,X36,X35)) | nil(int) = X33) ) | (~spl8_186 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24577])). 119.67/118.99 tff(f24577,plain,( 119.67/118.99 ( ! [X35:uni,X33:uni,X36:uni,X34:ty] : (tb2t(nth1(int,sK6(sK2),X33)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,X33)),cons_proj_21(int,cons_proj_21(int,X33))) = cons_proj_21(int,X33) | zero_at1(tb2t1(cons_proj_21(int,X33)),0) | nth1(X34,$sum($sum(sK6(sK2),-1),-1),X35) = nth1(X34,$sum(sK6(sK2),-1),cons(X34,X36,X35)) | nil(int) = X33) ) | (~spl8_186 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f2964,f24227])). 119.67/118.99 tff(f2964,plain,( 119.67/118.99 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X0,X1)) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | zero_at1(tb2t1(X1),0) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_186), 119.67/118.99 inference(superposition,[],[f2865,f287])). 119.67/118.99 tff(f2865,plain,( 119.67/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X0)) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | zero_at1(tb2t1(X0),0)) ) | ~spl8_186), 119.67/118.99 inference(forward_demodulation,[],[f2849,f234])). 119.67/118.99 tff(f2849,plain,( 119.67/118.99 ( ! [X0:uni] : (cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | zero_at1(tb2t1(X0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(X0))))) ) | ~spl8_186), 119.67/118.99 inference(resolution,[],[f2837,f266])). 119.67/118.99 tff(f2837,plain,( 119.67/118.99 ( ! [X1:uni] : ($less(sK7(tb2t1(X1),0),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_186), 119.67/118.99 inference(superposition,[],[f2832,f260])). 119.67/118.99 tff(f2832,plain,( 119.67/118.99 $less(sK7(tb2t1(nil(int)),0),0) | ~spl8_186), 119.67/118.99 inference(avatar_component_clause,[],[f2831])). 119.67/118.99 tff(f24620,plain,( 119.67/118.99 spl8_1674 | spl8_1688 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24584,f7008,f1101,f522,f24618,f24592])). 119.67/118.99 tff(f24618,plain,( 119.67/118.99 spl8_1688 <=> ! [X29 : uni] : (tb2t(nth1(int,sK6(sK2),X29)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | nil(int) = X29 | cons(int,cons_proj_11(int,cons_proj_21(int,X29)),cons_proj_21(int,cons_proj_21(int,X29))) = cons_proj_21(int,X29) | ~$less(sK7(tb2t1(cons_proj_21(int,X29)),0),0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1688])])). 119.67/118.99 tff(f24584,plain,( 119.67/118.99 ( ! [X30:ty,X31:uni,X29:uni,X32:uni] : (tb2t(nth1(int,sK6(sK2),X29)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X29)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X29)),cons_proj_21(int,cons_proj_21(int,X29))) = cons_proj_21(int,X29) | nth1(X30,$sum(sK6(sK2),-2),X31) = nth1(X30,$sum(sK6(sK2),-1),cons(X30,X32,X31)) | nil(int) = X29) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24576])). 119.67/118.99 tff(f24576,plain,( 119.67/118.99 ( ! [X30:ty,X31:uni,X29:uni,X32:uni] : (tb2t(nth1(int,sK6(sK2),X29)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X29)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X29)),cons_proj_21(int,cons_proj_21(int,X29))) = cons_proj_21(int,X29) | nth1(X30,$sum($sum(sK6(sK2),-1),-1),X31) = nth1(X30,$sum(sK6(sK2),-1),cons(X30,X32,X31)) | nil(int) = X29) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f2894,f24227])). 119.67/118.99 tff(f2894,plain,( 119.67/118.99 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X0,X1)) | ~$less(sK7(tb2t1(X1),0),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f2825,f287])). 119.67/118.99 tff(f2825,plain,( 119.67/118.99 ( ! [X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X1)) | ~$less(sK7(tb2t1(X1),0),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f2824,f1102])). 119.67/118.99 tff(f2824,plain,( 119.67/118.99 ( ! [X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),X1)) | ~$less(sK7(tb2t1(X1),0),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f2823,f234])). 119.67/118.99 tff(f2823,plain,( 119.67/118.99 ( ! [X1:uni] : (~$less(sK7(tb2t1(X1),0),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(X1))))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f971,f1102])). 119.67/118.99 tff(f971,plain,( 119.67/118.99 ( ! [X1:uni] : (cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | ~$less(sK7(tb2t1(X1),$sum(sK0,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(X1))))) ) | ~spl8_41), 119.67/118.99 inference(resolution,[],[f724,f266])). 119.67/118.99 tff(f24616,plain,( 119.67/118.99 spl8_1684 | spl8_1686 | ~spl8_12 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24585,f7008,f751,f24614,f24611])). 119.67/118.99 tff(f24611,plain,( 119.67/118.99 spl8_1684 <=> $less(sK6(sK2),1)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1684])])). 119.67/118.99 tff(f24614,plain,( 119.67/118.99 spl8_1686 <=> ! [X28 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X28)) | nil(int) = X28 | cons(int,cons_proj_11(int,cons_proj_21(int,X28)),cons_proj_21(int,cons_proj_21(int,X28))) = cons_proj_21(int,X28) | ~$less($sum(sK6(sK2),-1),length1(int,cons_proj_21(int,X28))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1686])])). 119.67/118.99 tff(f24585,plain,( 119.67/118.99 ( ! [X28:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X28)) | ~$less($sum(sK6(sK2),-1),length1(int,cons_proj_21(int,X28))) | cons(int,cons_proj_11(int,cons_proj_21(int,X28)),cons_proj_21(int,cons_proj_21(int,X28))) = cons_proj_21(int,X28) | $less(sK6(sK2),1) | nil(int) = X28) ) | (~spl8_12 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24575])). 119.67/118.99 tff(f24575,plain,( 119.67/118.99 ( ! [X28:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X28)) | ~$less($sum(sK6(sK2),-1),length1(int,cons_proj_21(int,X28))) | cons(int,cons_proj_11(int,cons_proj_21(int,X28)),cons_proj_21(int,cons_proj_21(int,X28))) = cons_proj_21(int,X28) | $less($sum(sK6(sK2),-1),0) | nil(int) = X28) ) | (~spl8_12 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f2241,f24227])). 119.67/118.99 tff(f24609,plain,( 119.67/118.99 spl8_1674 | spl8_1682 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24586,f7008,f1101,f522,f24607,f24592])). 119.67/118.99 tff(f24607,plain,( 119.67/118.99 spl8_1682 <=> ! [X24 : uni] : (tb2t(nth1(int,sK6(sK2),X24)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | nil(int) = X24 | cons(int,cons_proj_11(int,cons_proj_21(int,X24)),cons_proj_21(int,cons_proj_21(int,X24))) = cons_proj_21(int,X24) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X24)),0),cons_proj_21(int,X24))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1682])])). 119.67/118.99 tff(f24586,plain,( 119.67/118.99 ( ! [X26:uni,X24:uni,X27:uni,X25:ty] : (tb2t(nth1(int,sK6(sK2),X24)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X24)),0),cons_proj_21(int,X24))) | cons(int,cons_proj_11(int,cons_proj_21(int,X24)),cons_proj_21(int,cons_proj_21(int,X24))) = cons_proj_21(int,X24) | nth1(X25,$sum(sK6(sK2),-2),X26) = nth1(X25,$sum(sK6(sK2),-1),cons(X25,X27,X26)) | nil(int) = X24) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24574])). 119.67/118.99 tff(f24574,plain,( 119.67/118.99 ( ! [X26:uni,X24:uni,X27:uni,X25:ty] : (tb2t(nth1(int,sK6(sK2),X24)) != tb2t(some(int,t2tb2($sum(sK6(sK2),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X24)),0),cons_proj_21(int,X24))) | cons(int,cons_proj_11(int,cons_proj_21(int,X24)),cons_proj_21(int,cons_proj_21(int,X24))) = cons_proj_21(int,X24) | nth1(X25,$sum($sum(sK6(sK2),-1),-1),X26) = nth1(X25,$sum(sK6(sK2),-1),cons(X25,X27,X26)) | nil(int) = X24) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f2063,f24227])). 119.67/118.99 tff(f2063,plain,( 119.67/118.99 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X0,X1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X1),0),X1)) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1396,f287])). 119.67/118.99 tff(f1396,plain,( 119.67/118.99 ( ! [X2:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),0),X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1395,f1102])). 119.67/118.99 tff(f1395,plain,( 119.67/118.99 ( ! [X2:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),$sum(sK0,$uminus(sK0))),X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f976,f1102])). 119.67/118.99 tff(f976,plain,( 119.67/118.99 ( ! [X2:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),X2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),$sum(sK0,$uminus(sK0))),X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2) ) | ~spl8_41), 119.67/118.99 inference(forward_demodulation,[],[f975,f234])). 119.67/118.99 tff(f975,plain,( 119.67/118.99 ( ! [X2:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),$sum(sK0,$uminus(sK0))),X2)) | cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2 | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(X2))))) ) | ~spl8_41), 119.67/118.99 inference(forward_demodulation,[],[f972,f234])). 119.67/118.99 tff(f972,plain,( 119.67/118.99 ( ! [X2:uni] : (cons(int,cons_proj_11(int,X2),cons_proj_21(int,X2)) = X2 | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X2),$sum(sK0,$uminus(sK0))),t2tb1(tb2t1(X2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(X2))))) ) | ~spl8_41), 119.67/118.99 inference(resolution,[],[f724,f267])). 119.67/118.99 tff(f24605,plain,( 119.67/118.99 spl8_1674 | spl8_1680 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24587,f7008,f1101,f522,f24603,f24592])). 119.67/118.99 tff(f24603,plain,( 119.67/118.99 spl8_1680 <=> ! [X20 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X20)) | nil(int) = X20 | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X20)),$sum(sK6(sK2),-1)),cons_proj_21(int,X20))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1680])])). 119.67/118.99 tff(f24587,plain,( 119.67/118.99 ( ! [X23:uni,X21:ty,X22:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X20)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X20)),$sum(sK6(sK2),-1)),cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | nth1(X21,$sum(sK6(sK2),-2),X22) = nth1(X21,$sum(sK6(sK2),-1),cons(X21,X23,X22)) | nil(int) = X20) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24573])). 119.67/118.99 tff(f24573,plain,( 119.67/118.99 ( ! [X23:uni,X21:ty,X22:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X20)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X20)),$sum(sK6(sK2),-1)),cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | nth1(X21,$sum($sum(sK6(sK2),-1),-1),X22) = nth1(X21,$sum(sK6(sK2),-1),cons(X21,X23,X22)) | nil(int) = X20) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f1948,f24227])). 119.67/118.99 tff(f24601,plain,( 119.67/118.99 spl8_1674 | spl8_1678 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24588,f7008,f1101,f522,f24599,f24592])). 119.67/118.99 tff(f24599,plain,( 119.67/118.99 spl8_1678 <=> ! [X16 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X16)) | nil(int) = X16 | ~$less(sK7(tb2t1(cons_proj_21(int,X16)),$sum(sK6(sK2),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1678])])). 119.67/118.99 tff(f24588,plain,( 119.67/118.99 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X16)) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum(sK6(sK2),-2),X18) = nth1(X17,$sum(sK6(sK2),-1),cons(X17,X19,X18)) | ~$less(sK7(tb2t1(cons_proj_21(int,X16)),$sum(sK6(sK2),-1)),0) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24572])). 119.67/118.99 tff(f24572,plain,( 119.67/118.99 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X16)) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(sK6(sK2),-1),-1),X18) = nth1(X17,$sum(sK6(sK2),-1),cons(X17,X19,X18)) | ~$less(sK7(tb2t1(cons_proj_21(int,X16)),$sum(sK6(sK2),-1)),0) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f1946,f24227])). 119.67/118.99 tff(f24597,plain,( 119.67/118.99 spl8_1674 | spl8_1676 | spl8_41 | ~spl8_154 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24589,f7008,f1101,f522,f24595,f24592])). 119.67/118.99 tff(f24595,plain,( 119.67/118.99 spl8_1676 <=> ! [X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X12)) | nil(int) = X12 | $less(sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(sK2),-1)),$sum(sK6(sK2),-1)) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1676])])). 119.67/118.99 tff(f24589,plain,( 119.67/118.99 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X12)) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum(sK6(sK2),-2),X14) = nth1(X13,$sum(sK6(sK2),-1),cons(X13,X15,X14)) | $less(sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(sK2),-1)),$sum(sK6(sK2),-1)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(evaluation,[],[f24571])). 119.67/118.99 tff(f24571,plain,( 119.67/118.99 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),X12)) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(sK6(sK2),-1),-1),X14) = nth1(X13,$sum(sK6(sK2),-1),cons(X13,X15,X14)) | $less(sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(sK2),-1)),$sum(sK6(sK2),-1)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f1945,f24227])). 119.67/118.99 tff(f1945,plain,( 119.67/118.99 ( ! [X6:uni,X4:ty,X7:uni,X5:$int,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X5,X3)) | cons(int,cons_proj_11(int,X3),cons_proj_21(int,X3)) = X3 | nth1(X4,$sum(X5,-1),X6) = nth1(X4,X5,cons(X4,X7,X6)) | $less(sK7(tb2t1(X3),X5),X5)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1937,f234])). 119.67/118.99 tff(f1937,plain,( 119.67/118.99 ( ! [X6:uni,X4:ty,X7:uni,X5:$int,X3:uni] : (cons(int,cons_proj_11(int,X3),cons_proj_21(int,X3)) = X3 | nth1(X4,$sum(X5,-1),X6) = nth1(X4,X5,cons(X4,X7,X6)) | $less(sK7(tb2t1(X3),X5),X5) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X5,t2tb1(tb2t1(X3))))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(resolution,[],[f1425,f265])). 119.67/118.99 tff(f24457,plain,( 119.67/118.99 spl8_1672 | spl8_764 | spl8_279 | ~spl8_462 | ~spl8_898), 119.67/118.99 inference(avatar_split_clause,[],[f24452,f8227,f5643,f1810,f6996,f24455])). 119.67/118.99 tff(f24455,plain,( 119.67/118.99 spl8_1672 <=> ! [X6 : list_int] : (~zero_at1(X6,sK7(sK2,-1)) | ~zero_at1(X6,-1))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1672])])). 119.67/118.99 tff(f6996,plain,( 119.67/118.99 spl8_764 <=> ! [X65 : ty,X67 : uni,X66 : uni] : nth1(X65,-2,X66) = nth1(X65,-1,cons(X65,X67,X66))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_764])])). 119.67/118.99 tff(f5643,plain,( 119.67/118.99 spl8_462 <=> $less(sK7(sK2,0),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_462])])). 119.67/118.99 tff(f24452,plain,( 119.67/118.99 ( ! [X6:list_int,X4:uni,X5:uni,X3:ty] : (nth1(X3,-2,X4) = nth1(X3,-1,cons(X3,X5,X4)) | ~zero_at1(X6,sK7(sK2,-1)) | ~zero_at1(X6,-1)) ) | (~spl8_279 | ~spl8_462 | ~spl8_898)), 119.67/118.99 inference(evaluation,[],[f24442])). 119.67/118.99 tff(f24442,plain,( 119.67/118.99 ( ! [X6:list_int,X4:uni,X5:uni,X3:ty] : (nth1(X3,$sum(-1,-1),X4) = nth1(X3,-1,cons(X3,X5,X4)) | ~zero_at1(X6,sK7(sK2,-1)) | ~zero_at1(X6,-1)) ) | (~spl8_279 | ~spl8_462 | ~spl8_898)), 119.67/118.99 inference(resolution,[],[f6162,f14232])). 119.67/118.99 tff(f6162,plain,( 119.67/118.99 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(sK2,X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_462), 119.67/118.99 inference(superposition,[],[f5644,f287])). 119.67/118.99 tff(f5644,plain,( 119.67/118.99 $less(sK7(sK2,0),0) | ~spl8_462), 119.67/118.99 inference(avatar_component_clause,[],[f5643])). 119.67/118.99 tff(f24430,plain,( 119.67/118.99 spl8_1670 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24426,f24192,f24428])). 119.67/118.99 tff(f24428,plain,( 119.67/118.99 spl8_1670 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1670])])). 119.67/118.99 tff(f24426,plain,( 119.67/118.99 some(int,t2tb2(0)) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~spl8_1628), 119.67/118.99 inference(forward_demodulation,[],[f24361,f238])). 119.67/118.99 tff(f24361,plain,( 119.67/118.99 nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_1628), 119.67/118.99 inference(superposition,[],[f238,f24193])). 119.67/118.99 tff(f24425,plain,( 119.67/118.99 ~spl8_1661 | spl8_1662 | spl8_1668 | spl8_41 | ~spl8_154 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24362,f24192,f1101,f522,f24423,f24412,f24409])). 119.67/118.99 tff(f24409,plain,( 119.67/118.99 spl8_1661 <=> ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1661])])). 119.67/118.99 tff(f24412,plain,( 119.67/118.99 spl8_1662 <=> none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1662])])). 119.67/118.99 tff(f24423,plain,( 119.67/118.99 spl8_1668 <=> ! [X56 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),0),0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1668])])). 119.67/118.99 tff(f24362,plain,( 119.67/118.99 ( ! [X56:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),0),0) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24359])). 119.67/118.99 tff(f24359,plain,( 119.67/118.99 ( ! [X56:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X56)),0),0) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(superposition,[],[f3199,f24193])). 119.67/118.99 tff(f3199,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(X0) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,X0),X1) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,X0),X1)),X1) | $less(sK7(tb2t1(cons(int,some_proj_11(int,X0),X1)),0),0) | none(int) = X0 | ~sort1(option(int),X0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1917,f262])). 119.67/118.99 tff(f262,plain,( 119.67/118.99 ( ! [X0:ty,X1:uni] : (some(X0,some_proj_11(X0,X1)) = X1 | none(X0) = X1 | ~sort1(option(X0),X1)) )), 119.67/118.99 inference(cnf_transformation,[],[f101])). 119.67/118.99 tff(f101,plain,( 119.67/118.99 ! [X0 : ty,X1 : uni] : (some(X0,some_proj_11(X0,X1)) = X1 | none(X0) = X1 | ~sort1(option(X0),X1))), 119.67/118.99 inference(flattening,[],[f100])). 119.67/118.99 tff(f100,plain,( 119.67/118.99 ! [X0 : ty,X1 : uni] : ((some(X0,some_proj_11(X0,X1)) = X1 | none(X0) = X1) | ~sort1(option(X0),X1))), 119.67/118.99 inference(ennf_transformation,[],[f76])). 119.67/118.99 tff(f76,plain,( 119.67/118.99 ! [X0 : ty,X1 : uni] : (sort1(option(X0),X1) => (some(X0,some_proj_11(X0,X1)) = X1 | none(X0) = X1))), 119.67/118.99 inference(rectify,[],[f21])). 119.67/118.99 tff(f21,axiom,( 119.67/118.99 ! [X1 : ty,X2 : uni] : (sort1(option(X1),X2) => (some(X1,some_proj_11(X1,X2)) = X2 | none(X1) = X2))), 119.67/118.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',option_inversion1)). 119.67/118.99 tff(f1917,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),X1) | $less(sK7(tb2t1(cons(int,X0,X1)),0),0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1912,f273])). 119.67/118.99 tff(f1912,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(cons(int,X0,X1)),0),0) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),cons_proj_21(int,cons(int,X0,X1)))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1403,f285])). 119.67/118.99 tff(f285,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X3:uni] : (some(X0,X2) = nth1(X0,0,cons(X0,X2,X3))) )), 119.67/118.99 inference(equality_resolution,[],[f257])). 119.67/118.99 tff(f257,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1) )), 119.67/118.99 inference(cnf_transformation,[],[f98])). 119.67/118.99 tff(f1403,plain,( 119.67/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X0)) | $less(sK7(tb2t1(X0),0),0) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f1402,f1102])). 119.67/118.99 tff(f1402,plain,( 119.67/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X0)) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | $less(sK7(tb2t1(X0),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0)))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f974,f1102])). 119.67/118.99 tff(f974,plain,( 119.67/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),X0)) | cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | $less(sK7(tb2t1(X0),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0)))) ) | ~spl8_41), 119.67/118.99 inference(forward_demodulation,[],[f970,f234])). 119.67/118.99 tff(f970,plain,( 119.67/118.99 ( ! [X0:uni] : (cons(int,cons_proj_11(int,X0),cons_proj_21(int,X0)) = X0 | $less(sK7(tb2t1(X0),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(X0))))) ) | ~spl8_41), 119.67/118.99 inference(resolution,[],[f724,f265])). 119.67/118.99 tff(f24421,plain,( 119.67/118.99 ~spl8_1661 | spl8_1662 | spl8_1666 | spl8_41 | ~spl8_154 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24363,f24192,f1101,f522,f24419,f24412,f24409])). 119.67/118.99 tff(f24419,plain,( 119.67/118.99 spl8_1666 <=> ! [X55 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),0),0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1666])])). 119.67/118.99 tff(f24363,plain,( 119.67/118.99 ( ! [X55:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),0),0) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24358])). 119.67/118.99 tff(f24358,plain,( 119.67/118.99 ( ! [X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X55)),0),0) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(superposition,[],[f3202,f24193])). 119.67/118.99 tff(f3202,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(X0) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,X0),X1) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,X0),X1)),X1) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,X0),X1)),0),0) | none(int) = X0 | ~sort1(option(int),X0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f2900,f262])). 119.67/118.99 tff(f2900,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),X1) | ~$less(sK7(tb2t1(cons(int,X0,X1)),0),0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f2895,f273])). 119.67/118.99 tff(f2895,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,X0,X1)),0),0) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),cons_proj_21(int,cons(int,X0,X1)))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f2825,f285])). 119.67/118.99 tff(f24417,plain,( 119.67/118.99 ~spl8_1661 | spl8_1662 | spl8_1664 | spl8_41 | ~spl8_154 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24364,f24192,f1101,f522,f24415,f24412,f24409])). 119.67/118.99 tff(f24415,plain,( 119.67/118.99 spl8_1664 <=> ! [X54 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1664])])). 119.67/118.99 tff(f24364,plain,( 119.67/118.99 ( ! [X54:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54))) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24357])). 119.67/118.99 tff(f24357,plain,( 119.67/118.99 ( ! [X54:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))),X54))) | none(int) = nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_1628)), 119.67/118.99 inference(superposition,[],[f3522,f24193])). 119.67/118.99 tff(f3522,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(X0) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,X0),X1) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,X0),X1)),X1) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,X0),X1)),0),cons(int,some_proj_11(int,X0),X1))) | none(int) = X0 | ~sort1(option(int),X0)) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f2069,f262])). 119.67/118.99 tff(f2069,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),X1) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X0,X1)),0),cons(int,X0,X1)))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(forward_demodulation,[],[f2064,f273])). 119.67/118.99 tff(f2064,plain,( 119.67/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X0,X1)),0),cons(int,X0,X1))) | cons(int,X0,X1) = cons(int,cons_proj_11(int,cons(int,X0,X1)),cons_proj_21(int,cons(int,X0,X1)))) ) | (~spl8_41 | ~spl8_154)), 119.67/118.99 inference(superposition,[],[f1396,f285])). 119.67/118.99 tff(f24407,plain,( 119.67/118.99 spl8_1658 | spl8_1616 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24373,f24192,f24107,f24405])). 119.67/118.99 tff(f24405,plain,( 119.67/118.99 spl8_1658 <=> ! [X0 : $int] : (~$less(sK7(sK2,sK7(sK2,sK6(sK2))),X0) | ~zero_at1(sK2,X0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1658])])). 119.67/118.99 tff(f24373,plain,( 119.67/118.99 ( ! [X0:$int] : ($less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1628), 119.67/118.99 inference(trivial_inequality_removal,[],[f24340])). 119.67/118.99 tff(f24340,plain,( 119.67/118.99 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1628), 119.67/118.99 inference(superposition,[],[f269,f24193])). 119.67/118.99 tff(f24403,plain,( 119.67/118.99 spl8_1656 | spl8_1604 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24374,f24192,f24084,f24401])). 119.67/118.99 tff(f24401,plain,( 119.67/118.99 spl8_1656 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1656])])). 119.67/118.99 tff(f24084,plain,( 119.67/118.99 spl8_1604 <=> zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1604])])). 119.67/118.99 tff(f24374,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),t2tb1(sK2))) | ~spl8_1628), 119.67/118.99 inference(trivial_inequality_removal,[],[f24339])). 119.67/118.99 tff(f24339,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),t2tb1(sK2))) | ~spl8_1628), 119.67/118.99 inference(superposition,[],[f267,f24193])). 119.67/118.99 tff(f24399,plain,( 119.67/118.99 ~spl8_1611 | spl8_1604 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24375,f24192,f24084,f24397])). 119.67/118.99 tff(f24397,plain,( 119.67/118.99 spl8_1611 <=> ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1611])])). 119.67/118.99 tff(f24375,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | ~spl8_1628), 119.67/118.99 inference(trivial_inequality_removal,[],[f24338])). 119.67/118.99 tff(f24338,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | ~spl8_1628), 119.67/118.99 inference(superposition,[],[f266,f24193])). 119.67/118.99 tff(f24395,plain,( 119.67/118.99 spl8_1654 | spl8_1604 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24376,f24192,f24084,f24393])). 119.67/118.99 tff(f24393,plain,( 119.67/118.99 spl8_1654 <=> $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),sK7(sK2,sK7(sK2,sK6(sK2))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1654])])). 119.67/118.99 tff(f24376,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),sK7(sK2,sK7(sK2,sK6(sK2)))) | ~spl8_1628), 119.67/118.99 inference(trivial_inequality_removal,[],[f24337])). 119.67/118.99 tff(f24337,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),sK7(sK2,sK7(sK2,sK6(sK2)))) | ~spl8_1628), 119.67/118.99 inference(superposition,[],[f265,f24193])). 119.67/118.99 tff(f24391,plain,( 119.67/118.99 spl8_1648 | spl8_1604 | ~spl8_1651 | spl8_1620 | spl8_1652 | ~spl8_34 | ~spl8_1628), 119.67/118.99 inference(avatar_split_clause,[],[f24381,f24192,f403,f24389,f24174,f24386,f24084,f24383])). 119.67/118.99 tff(f24383,plain,( 119.67/118.99 spl8_1648 <=> zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1648])])). 119.67/118.99 tff(f24386,plain,( 119.67/118.99 spl8_1651 <=> ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1651])])). 119.67/118.99 tff(f24174,plain,( 119.67/118.99 spl8_1620 <=> zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1620])])). 119.67/118.99 tff(f24389,plain,( 119.67/118.99 spl8_1652 <=> $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1652])])). 119.67/118.99 tff(f24381,plain,( 119.67/118.99 $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),0) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))) | (~spl8_34 | ~spl8_1628)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24332])). 119.67/118.99 tff(f24332,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),0) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))))) | (~spl8_34 | ~spl8_1628)), 119.67/118.99 inference(superposition,[],[f7581,f24193])). 119.67/118.99 tff(f24282,plain,( 119.67/118.99 spl8_1616 | spl8_1646 | ~spl8_1626), 119.67/118.99 inference(avatar_split_clause,[],[f24278,f24184,f24280,f24107])). 119.67/118.99 tff(f24280,plain,( 119.67/118.99 spl8_1646 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(X0))) | ~zero_at1(X0,sK7(sK2,sK6(sK2))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1646])])). 119.67/118.99 tff(f24184,plain,( 119.67/118.99 spl8_1626 <=> $less(sK7(sK2,sK7(sK2,sK6(sK2))),sK7(sK2,sK6(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1626])])). 119.67/118.99 tff(f24278,plain,( 119.67/118.99 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(X0))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~zero_at1(X0,sK7(sK2,sK6(sK2)))) ) | ~spl8_1626), 119.67/118.99 inference(resolution,[],[f24185,f269])). 119.67/118.99 tff(f24185,plain,( 119.67/118.99 $less(sK7(sK2,sK7(sK2,sK6(sK2))),sK7(sK2,sK6(sK2))) | ~spl8_1626), 119.67/118.99 inference(avatar_component_clause,[],[f24184])). 119.67/118.99 tff(f24276,plain,( 119.67/118.99 ~spl8_319 | ~spl8_322 | ~spl8_1630), 119.67/118.99 inference(avatar_split_clause,[],[f24267,f24196,f2275,f24274])). 119.67/118.99 tff(f24274,plain,( 119.67/118.99 spl8_319 <=> ~zero_at1(sK2,sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_319])])). 119.67/118.99 tff(f2275,plain,( 119.67/118.99 spl8_322 <=> $less(sK7(sK2,sK6(sK2)),sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_322])])). 119.67/118.99 tff(f24267,plain,( 119.67/118.99 ~zero_at1(sK2,sK6(sK2)) | (~spl8_322 | ~spl8_1630)), 119.67/118.99 inference(resolution,[],[f24197,f2276])). 119.67/118.99 tff(f2276,plain,( 119.67/118.99 $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_322), 119.67/118.99 inference(avatar_component_clause,[],[f2275])). 119.67/118.99 tff(f24253,plain,( 119.67/118.99 spl8_1645), 119.67/118.99 inference(avatar_contradiction_clause,[],[f24251])). 119.67/118.99 tff(f24251,plain,( 119.67/118.99 $false | ~spl8_1645), 119.67/118.99 inference(resolution,[],[f24225,f256])). 119.67/118.99 tff(f256,plain,( 119.67/118.99 ( ! [X0:ty,X1:uni] : (sort1(option(X0),some(X0,X1))) )), 119.67/118.99 inference(cnf_transformation,[],[f72])). 119.67/118.99 tff(f72,plain,( 119.67/118.99 ! [X0 : ty,X1 : uni] : sort1(option(X0),some(X0,X1))), 119.67/118.99 inference(rectify,[],[f34])). 119.67/118.99 tff(f34,axiom,( 119.67/118.99 ! [X1 : ty,X4 : uni] : sort1(option(X1),some(X1,X4))), 119.67/118.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_sort1)). 119.67/118.99 tff(f24225,plain,( 119.67/118.99 ~sort1(option(int),some(int,t2tb2(0))) | ~spl8_1645), 119.67/118.99 inference(avatar_component_clause,[],[f24224])). 119.67/118.99 tff(f24224,plain,( 119.67/118.99 spl8_1645 <=> ~sort1(option(int),some(int,t2tb2(0)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1645])])). 119.67/118.99 tff(f24250,plain,( 119.67/118.99 spl8_150 | spl8_1460 | ~spl8_12 | ~spl8_770), 119.67/118.99 inference(avatar_split_clause,[],[f24249,f7008,f751,f22865,f2271])). 119.67/118.99 tff(f22865,plain,( 119.67/118.99 spl8_1460 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | ~$less(sK6(sK2),$sum(1,length1(int,X128))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1460])])). 119.67/118.99 tff(f24249,plain,( 119.67/118.99 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less(sK6(sK2),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_770)), 119.67/118.99 inference(forward_demodulation,[],[f24248,f273])). 119.67/118.99 tff(f24248,plain,( 119.67/118.99 ( ! [X127:uni,X128:uni] : (~$less(sK6(sK2),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_770)), 119.67/118.99 inference(forward_demodulation,[],[f24241,f244])). 119.67/118.99 tff(f24241,plain,( 119.67/118.99 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | ~$less(sK6(sK2),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_770)), 119.67/118.99 inference(superposition,[],[f2241,f7009])). 119.67/118.99 tff(f24226,plain,( 119.67/118.99 ~spl8_1645 | spl8_1633 | ~spl8_1642), 119.67/118.99 inference(avatar_split_clause,[],[f24222,f24219,f24200,f24224])). 119.67/118.99 tff(f24200,plain,( 119.67/118.99 spl8_1633 <=> ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1633])])). 119.67/118.99 tff(f24222,plain,( 119.67/118.99 ~sort1(option(int),some(int,t2tb2(0))) | (~spl8_1633 | ~spl8_1642)), 119.67/118.99 inference(forward_demodulation,[],[f24201,f24220])). 119.67/118.99 tff(f24201,plain,( 119.67/118.99 ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_1633), 119.67/118.99 inference(avatar_component_clause,[],[f24200])). 119.67/118.99 tff(f24221,plain,( 119.67/118.99 spl8_1642 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24217,f2283,f24219])). 119.67/118.99 tff(f24217,plain,( 119.67/118.99 some(int,t2tb2(0)) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~spl8_324), 119.67/118.99 inference(forward_demodulation,[],[f24152,f238])). 119.67/118.99 tff(f24152,plain,( 119.67/118.99 nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_324), 119.67/118.99 inference(superposition,[],[f238,f2284])). 119.67/118.99 tff(f24216,plain,( 119.67/118.99 ~spl8_1633 | spl8_1634 | spl8_1640 | spl8_41 | ~spl8_154 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24153,f2283,f1101,f522,f24214,f24203,f24200])). 119.67/118.99 tff(f24203,plain,( 119.67/118.99 spl8_1634 <=> none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1634])])). 119.67/118.99 tff(f24214,plain,( 119.67/118.99 spl8_1640 <=> ! [X56 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),0),0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1640])])). 119.67/118.99 tff(f24153,plain,( 119.67/118.99 ( ! [X56:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),0),0) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24150])). 119.67/118.99 tff(f24150,plain,( 119.67/118.99 ( ! [X56:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),X56) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X56)),0),0) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(superposition,[],[f3199,f2284])). 119.67/118.99 tff(f24212,plain,( 119.67/118.99 ~spl8_1633 | spl8_1634 | spl8_1638 | spl8_41 | ~spl8_154 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24154,f2283,f1101,f522,f24210,f24203,f24200])). 119.67/118.99 tff(f24210,plain,( 119.67/118.99 spl8_1638 <=> ! [X55 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),0),0))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1638])])). 119.67/118.99 tff(f24154,plain,( 119.67/118.99 ( ! [X55:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),0),0) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24149])). 119.67/118.99 tff(f24149,plain,( 119.67/118.99 ( ! [X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),X55) | ~$less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X55)),0),0) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(superposition,[],[f3202,f2284])). 119.67/118.99 tff(f24208,plain,( 119.67/118.99 ~spl8_1633 | spl8_1634 | spl8_1636 | spl8_41 | ~spl8_154 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24155,f2283,f1101,f522,f24206,f24203,f24200])). 119.67/118.99 tff(f24206,plain,( 119.67/118.99 spl8_1636 <=> ! [X54 : uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1636])])). 119.67/118.99 tff(f24155,plain,( 119.67/118.99 ( ! [X54:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54))) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24148])). 119.67/118.99 tff(f24148,plain,( 119.67/118.99 ( ! [X54:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),X54) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54)),0),cons(int,some_proj_11(int,nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))),X54))) | none(int) = nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)) | ~sort1(option(int),nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2)))) ) | (~spl8_41 | ~spl8_154 | ~spl8_324)), 119.67/118.99 inference(superposition,[],[f3522,f2284])). 119.67/118.99 tff(f24198,plain,( 119.67/118.99 spl8_1630 | spl8_316 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24164,f2283,f2258,f24196])). 119.67/118.99 tff(f24164,plain,( 119.67/118.99 ( ! [X0:$int] : ($less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_324), 119.67/118.99 inference(trivial_inequality_removal,[],[f24131])). 119.67/118.99 tff(f24131,plain,( 119.67/118.99 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK6(sK2)),0) | ~$less(sK7(sK2,sK6(sK2)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_324), 119.67/118.99 inference(superposition,[],[f269,f2284])). 119.67/118.99 tff(f24194,plain,( 119.67/118.99 spl8_1628 | spl8_1608 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24165,f2283,f24090,f24192])). 119.67/118.99 tff(f24090,plain,( 119.67/118.99 spl8_1608 <=> zero_at1(sK2,sK7(sK2,sK6(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1608])])). 119.67/118.99 tff(f24165,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK6(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))) | ~spl8_324), 119.67/118.99 inference(trivial_inequality_removal,[],[f24130])). 119.67/118.99 tff(f24130,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,sK6(sK2))),t2tb1(sK2))) | ~spl8_324), 119.67/118.99 inference(superposition,[],[f267,f2284])). 119.67/118.99 tff(f24190,plain,( 119.67/118.99 ~spl8_1617 | spl8_1608 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24166,f2283,f24090,f24188])). 119.67/118.99 tff(f24188,plain,( 119.67/118.99 spl8_1617 <=> ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1617])])). 119.67/118.99 tff(f24166,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~spl8_324), 119.67/118.99 inference(trivial_inequality_removal,[],[f24129])). 119.67/118.99 tff(f24129,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | ~spl8_324), 119.67/118.99 inference(superposition,[],[f266,f2284])). 119.67/118.99 tff(f24186,plain,( 119.67/118.99 spl8_1626 | spl8_1608 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24167,f2283,f24090,f24184])). 119.67/118.99 tff(f24167,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),sK7(sK2,sK6(sK2))) | ~spl8_324), 119.67/118.99 inference(trivial_inequality_removal,[],[f24128])). 119.67/118.99 tff(f24128,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),sK7(sK2,sK6(sK2))) | ~spl8_324), 119.67/118.99 inference(superposition,[],[f265,f2284])). 119.67/118.99 tff(f24182,plain,( 119.67/118.99 spl8_1620 | spl8_1608 | ~spl8_1623 | spl8_1604 | spl8_1624 | ~spl8_34 | ~spl8_324), 119.67/118.99 inference(avatar_split_clause,[],[f24172,f2283,f403,f24180,f24084,f24177,f24090,f24174])). 119.67/118.99 tff(f24177,plain,( 119.67/118.99 spl8_1623 <=> ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1623])])). 119.67/118.99 tff(f24180,plain,( 119.67/118.99 spl8_1624 <=> $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1624])])). 119.67/118.99 tff(f24172,plain,( 119.67/118.99 $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),0) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))) | (~spl8_34 | ~spl8_324)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24123])). 119.67/118.99 tff(f24123,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),0) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2))))) | (~spl8_34 | ~spl8_324)), 119.67/118.99 inference(superposition,[],[f7581,f2284])). 119.67/118.99 tff(f24119,plain,( 119.67/118.99 spl8_316 | spl8_1618 | ~spl8_322), 119.67/118.99 inference(avatar_split_clause,[],[f3525,f2275,f24117,f2258])). 119.67/118.99 tff(f24117,plain,( 119.67/118.99 spl8_1618 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(X0))) | ~zero_at1(X0,sK6(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1618])])). 119.67/118.99 tff(f3525,plain,( 119.67/118.99 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(X0))) | $less(sK7(sK2,sK6(sK2)),0) | ~zero_at1(X0,sK6(sK2))) ) | ~spl8_322), 119.67/118.99 inference(resolution,[],[f2276,f269])). 119.67/118.99 tff(f24115,plain,( 119.67/118.99 spl8_322 | spl8_318 | ~spl8_152), 119.67/118.99 inference(avatar_split_clause,[],[f2254,f1088,f2261,f2275])). 119.67/118.99 tff(f2261,plain,( 119.67/118.99 spl8_318 <=> zero_at1(sK2,sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_318])])). 119.67/118.99 tff(f1088,plain,( 119.67/118.99 spl8_152 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK2),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_152])])). 119.67/118.99 tff(f2254,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_152), 119.67/118.99 inference(trivial_inequality_removal,[],[f2244])). 119.67/118.99 tff(f2244,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_152), 119.67/118.99 inference(superposition,[],[f265,f1089])). 119.67/118.99 tff(f1089,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK2),t2tb1(sK2))) | ~spl8_152), 119.67/118.99 inference(avatar_component_clause,[],[f1088])). 119.67/118.99 tff(f24114,plain,( 119.67/118.99 spl8_324 | spl8_318 | ~spl8_152), 119.67/118.99 inference(avatar_split_clause,[],[f2252,f1088,f2261,f2283])). 119.67/118.99 tff(f2252,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_152), 119.67/118.99 inference(trivial_inequality_removal,[],[f2246])). 119.67/118.99 tff(f2246,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_152), 119.67/118.99 inference(superposition,[],[f267,f1089])). 119.67/118.99 tff(f24113,plain,( 119.67/118.99 spl8_324 | spl8_318 | ~spl8_152), 119.67/118.99 inference(avatar_split_clause,[],[f5262,f1088,f2261,f2283])). 119.67/118.99 tff(f5262,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_152), 119.67/118.99 inference(trivial_inequality_removal,[],[f2246])). 119.67/118.99 tff(f24112,plain,( 119.67/118.99 spl8_322 | spl8_318 | ~spl8_152), 119.67/118.99 inference(avatar_split_clause,[],[f5260,f1088,f2261,f2275])). 119.67/118.99 tff(f5260,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_152), 119.67/118.99 inference(trivial_inequality_removal,[],[f2244])). 119.67/118.99 tff(f24111,plain,( 119.67/118.99 spl8_26 | spl8_316 | spl8_318 | ~spl8_1613 | ~spl8_34), 119.67/118.99 inference(avatar_split_clause,[],[f5861,f403,f24100,f2261,f2258,f367])). 119.67/118.99 tff(f24100,plain,( 119.67/118.99 spl8_1613 <=> ~$less(sK7(sK2,sK6(sK2)),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1613])])). 119.67/118.99 tff(f5861,plain,( 119.67/118.99 ~$less(sK7(sK2,sK6(sK2)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(trivial_inequality_removal,[],[f5858])). 119.67/118.99 tff(f5858,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(superposition,[],[f5498,f249])). 119.67/118.99 tff(f24110,plain,( 119.67/118.99 spl8_26 | ~spl8_1615 | spl8_318 | spl8_1616 | spl8_1608 | ~spl8_34), 119.67/118.99 inference(avatar_split_clause,[],[f7582,f403,f24090,f24107,f2261,f24104,f367])). 119.67/118.99 tff(f24104,plain,( 119.67/118.99 spl8_1615 <=> ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1615])])). 119.67/118.99 tff(f7582,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(trivial_inequality_removal,[],[f7577])). 119.67/118.99 tff(f7577,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(superposition,[],[f5860,f249])). 119.67/118.99 tff(f24109,plain,( 119.67/118.99 ~spl8_1615 | spl8_318 | spl8_1616 | spl8_1608 | ~spl8_34 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f7901,f2293,f403,f24090,f24107,f2261,f24104])). 119.67/118.99 tff(f7901,plain,( 119.67/118.99 zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(trivial_inequality_removal,[],[f7871])). 119.67/118.99 tff(f7871,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | $less(sK7(sK2,sK7(sK2,sK6(sK2))),0) | zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK7(sK2,sK6(sK2))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(superposition,[],[f5860,f2294])). 119.67/118.99 tff(f24102,plain,( 119.67/118.99 spl8_316 | spl8_318 | ~spl8_1613 | ~spl8_34 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f7900,f2293,f403,f24100,f2261,f2258])). 119.67/118.99 tff(f7900,plain,( 119.67/118.99 ~$less(sK7(sK2,sK6(sK2)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(trivial_inequality_removal,[],[f7872])). 119.67/118.99 tff(f7872,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,sK6(sK2)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(superposition,[],[f5498,f2294])). 119.67/118.99 tff(f24098,plain,( 119.67/118.99 spl8_322 | spl8_318 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f7897,f2293,f2261,f2275])). 119.67/118.99 tff(f7897,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_328), 119.67/118.99 inference(trivial_inequality_removal,[],[f7875])). 119.67/118.99 tff(f7875,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),sK6(sK2)) | ~spl8_328), 119.67/118.99 inference(superposition,[],[f265,f2294])). 119.67/118.99 tff(f24097,plain,( 119.67/118.99 spl8_324 | spl8_318 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f7895,f2293,f2261,f2283])). 119.67/118.99 tff(f7895,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_328), 119.67/118.99 inference(trivial_inequality_removal,[],[f7877])). 119.67/118.99 tff(f7877,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(sK2)),t2tb1(sK2))) | ~spl8_328), 119.67/118.99 inference(superposition,[],[f267,f2294])). 119.67/118.99 tff(f24096,plain,( 119.67/118.99 spl8_1604 | spl8_318 | ~spl8_1607 | spl8_1608 | spl8_1610 | ~spl8_34 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f16344,f2293,f403,f24093,f24090,f24087,f2261,f24084])). 119.67/118.99 tff(f24087,plain,( 119.67/118.99 spl8_1607 <=> ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),$sum(sK3,$uminus($sum(sK0,1))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1607])])). 119.67/118.99 tff(f24093,plain,( 119.67/118.99 spl8_1610 <=> $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1610])])). 119.67/118.99 tff(f16344,plain,( 119.67/118.99 $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(trivial_inequality_removal,[],[f16327])). 119.67/118.99 tff(f16327,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | (~spl8_34 | ~spl8_328)), 119.67/118.99 inference(superposition,[],[f7581,f2294])). 119.67/118.99 tff(f24095,plain,( 119.67/118.99 spl8_26 | spl8_1604 | spl8_318 | ~spl8_1607 | spl8_1608 | spl8_1610 | ~spl8_34), 119.67/118.99 inference(avatar_split_clause,[],[f16339,f403,f24093,f24090,f24087,f2261,f24084,f367])). 119.67/118.99 tff(f16339,plain,( 119.67/118.99 $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(trivial_inequality_removal,[],[f16334])). 119.67/118.99 tff(f16334,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),0) | zero_at1(sK2,sK7(sK2,sK6(sK2))) | ~$less(sK7(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,sK6(sK2)) | zero_at1(sK2,sK7(sK2,sK7(sK2,sK6(sK2)))) | no_zero1(sK2) | ~spl8_34), 119.67/118.99 inference(superposition,[],[f7581,f249])). 119.67/118.99 tff(f24082,plain,( 119.67/118.99 spl8_1602 | spl8_770 | spl8_151 | ~spl8_240), 119.67/118.99 inference(avatar_split_clause,[],[f22876,f1654,f1084,f7008,f24080])). 119.67/118.99 tff(f24080,plain,( 119.67/118.99 spl8_1602 <=> ! [X28 : list_int] : (~zero_at1(X28,sK0) | ~zero_at1(X28,sK6(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1602])])). 119.67/118.99 tff(f1654,plain,( 119.67/118.99 spl8_240 <=> $less(0,sK0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_240])])). 119.67/118.99 tff(f22876,plain,( 119.67/118.99 ( ! [X28:list_int,X26:uni,X27:uni,X25:ty] : (nth1(X25,$sum(sK6(sK2),-1),X26) = nth1(X25,sK6(sK2),cons(X25,X27,X26)) | ~zero_at1(X28,sK0) | ~zero_at1(X28,sK6(sK2))) ) | (~spl8_151 | ~spl8_240)), 119.67/118.99 inference(resolution,[],[f1890,f9276])). 119.67/118.99 tff(f9276,plain,( 119.67/118.99 ( ! [X2:$int,X1:list_int] : (~$less(sK6(sK2),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK6(sK2))) ) | ~spl8_151), 119.67/118.99 inference(trivial_inequality_removal,[],[f9275])). 119.67/118.99 tff(f9275,plain,( 119.67/118.99 ( ! [X2:$int,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(sK2),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK6(sK2))) ) | ~spl8_151), 119.67/118.99 inference(superposition,[],[f1575,f268])). 119.67/118.99 tff(f1575,plain,( 119.67/118.99 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),t2tb1(X2))) | ~$less(sK6(sK2),X3) | ~zero_at1(X2,X3)) ) | ~spl8_151), 119.67/118.99 inference(resolution,[],[f1085,f269])). 119.67/118.99 tff(f1890,plain,( 119.67/118.99 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(X0,sK0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_240), 119.67/118.99 inference(superposition,[],[f1655,f287])). 119.67/118.99 tff(f1655,plain,( 119.67/118.99 $less(0,sK0) | ~spl8_240), 119.67/118.99 inference(avatar_component_clause,[],[f1654])). 119.67/118.99 tff(f24078,plain,( 119.67/118.99 ~spl8_1601 | spl8_604 | ~spl8_318 | ~spl8_608), 119.67/118.99 inference(avatar_split_clause,[],[f24040,f5305,f2261,f10881,f24076])). 119.67/118.99 tff(f24076,plain,( 119.67/118.99 spl8_1601 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1601])])). 119.67/118.99 tff(f24040,plain,( 119.67/118.99 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),sK6(sK2)) | (~spl8_318 | ~spl8_608)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24037])). 119.67/118.99 tff(f24037,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),sK6(sK2)) | (~spl8_318 | ~spl8_608)), 119.67/118.99 inference(superposition,[],[f5989,f5306])). 119.67/118.99 tff(f5989,plain,( 119.67/118.99 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK2))) | $less(X3,0) | ~$less(X3,sK6(sK2))) ) | ~spl8_318), 119.67/118.99 inference(resolution,[],[f2262,f269])). 119.67/118.99 tff(f2262,plain,( 119.67/118.99 zero_at1(sK2,sK6(sK2)) | ~spl8_318), 119.67/118.99 inference(avatar_component_clause,[],[f2261])). 119.67/118.99 tff(f24074,plain,( 119.67/118.99 spl8_26 | ~spl8_1599 | spl8_150 | ~spl8_318), 119.67/118.99 inference(avatar_split_clause,[],[f24041,f2261,f2271,f24070,f367])). 119.67/118.99 tff(f24070,plain,( 119.67/118.99 spl8_1599 <=> ~$less(sK6(sK2),sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1599])])). 119.67/118.99 tff(f24041,plain,( 119.67/118.99 $less(sK6(sK2),0) | ~$less(sK6(sK2),sK6(sK2)) | no_zero1(sK2) | ~spl8_318), 119.67/118.99 inference(trivial_inequality_removal,[],[f24036])). 119.67/118.99 tff(f24036,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),sK6(sK2)) | no_zero1(sK2) | ~spl8_318), 119.67/118.99 inference(superposition,[],[f5989,f249])). 119.67/118.99 tff(f24073,plain,( 119.67/118.99 ~spl8_1595 | spl8_590 | ~spl8_160 | ~spl8_318), 119.67/118.99 inference(avatar_split_clause,[],[f24053,f2261,f1116,f5266,f24062])). 119.67/118.99 tff(f24062,plain,( 119.67/118.99 spl8_1595 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1595])])). 119.67/118.99 tff(f24053,plain,( 119.67/118.99 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_160 | ~spl8_318)), 119.67/118.99 inference(evaluation,[],[f24052])). 119.67/118.99 tff(f24052,plain,( 119.67/118.99 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_160 | ~spl8_318)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24029])). 119.67/118.99 tff(f24029,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_160 | ~spl8_318)), 119.67/118.99 inference(superposition,[],[f5989,f1117])). 119.67/118.99 tff(f24072,plain,( 119.67/118.99 ~spl8_1599 | spl8_150 | ~spl8_318 | ~spl8_328), 119.67/118.99 inference(avatar_split_clause,[],[f24055,f2293,f2261,f2271,f24070])). 119.67/118.99 tff(f24055,plain,( 119.67/118.99 $less(sK6(sK2),0) | ~$less(sK6(sK2),sK6(sK2)) | (~spl8_318 | ~spl8_328)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24027])). 119.67/118.99 tff(f24027,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),sK6(sK2)) | (~spl8_318 | ~spl8_328)), 119.67/118.99 inference(superposition,[],[f5989,f2294])). 119.67/118.99 tff(f24068,plain,( 119.67/118.99 ~spl8_1597 | spl8_128 | ~spl8_132 | ~spl8_318), 119.67/118.99 inference(avatar_split_clause,[],[f24056,f2261,f1018,f1006,f24066])). 119.67/118.99 tff(f24066,plain,( 119.67/118.99 spl8_1597 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),sK6(sK2))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1597])])). 119.67/118.99 tff(f24056,plain,( 119.67/118.99 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),sK6(sK2)) | (~spl8_132 | ~spl8_318)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24026])). 119.67/118.99 tff(f24026,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),sK6(sK2)) | (~spl8_132 | ~spl8_318)), 119.67/118.99 inference(superposition,[],[f5989,f1019])). 119.67/118.99 tff(f24064,plain,( 119.67/118.99 ~spl8_1595 | spl8_590 | ~spl8_318 | ~spl8_614), 119.67/118.99 inference(avatar_split_clause,[],[f24060,f5321,f2261,f5266,f24062])). 119.67/118.99 tff(f24060,plain,( 119.67/118.99 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_318 | ~spl8_614)), 119.67/118.99 inference(evaluation,[],[f24059])). 119.67/118.99 tff(f24059,plain,( 119.67/118.99 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_318 | ~spl8_614)), 119.67/118.99 inference(trivial_inequality_removal,[],[f24024])). 119.67/118.99 tff(f24024,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),sK6(sK2)) | (~spl8_318 | ~spl8_614)), 119.67/118.99 inference(superposition,[],[f5989,f5322])). 119.67/118.99 tff(f24012,plain,( 119.67/118.99 spl8_1592 | spl8_644 | spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904), 119.67/118.99 inference(avatar_split_clause,[],[f24008,f8282,f5278,f1101,f522,f5441,f24010])). 119.67/118.99 tff(f24010,plain,( 119.67/118.99 spl8_1592 <=> ! [X160 : uni,X153 : uni,X159 : uni,X152 : uni,X154 : $int,X158 : ty] : (cons(int,X152,X153) = cons(int,cons_proj_11(int,cons(int,X152,X153)),X153) | nth1(X158,$sum(X154,-1),X159) = nth1(X158,X154,cons(X158,X160,X159)) | ~$less(sK7(tb2t1(cons(int,X152,X153)),0),0) | tb2t(some(int,t2tb2(X154))) != tb2t(nth1(int,-1,X153)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1592])])). 119.67/118.99 tff(f5441,plain,( 119.67/118.99 spl8_644 <=> ! [X7 : uni,X8 : uni,X6 : ty] : some(X6,X8) = nth1(X6,-1,X7)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_644])])). 119.67/118.99 tff(f5278,plain,( 119.67/118.99 spl8_596 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(tb2t2(some_proj_11(int,some(int,t2tb2(0)))),-1),X1) = nth1(X0,tb2t2(some_proj_11(int,some(int,t2tb2(0)))),cons(X0,X2,X1))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_596])])). 119.67/118.99 tff(f8282,plain,( 119.67/118.99 spl8_904 <=> some_proj_11(int,some(int,t2tb2(0))) = t2tb2(0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_904])])). 119.67/118.99 tff(f24008,plain,( 119.67/118.99 ( ! [X158:ty,X156:uni,X154:$int,X152:uni,X159:uni,X157:uni,X155:ty,X153:uni,X160:uni] : (some(X155,X157) = nth1(X155,-1,X156) | cons(int,X152,X153) = cons(int,cons_proj_11(int,cons(int,X152,X153)),X153) | tb2t(some(int,t2tb2(X154))) != tb2t(nth1(int,-1,X153)) | ~$less(sK7(tb2t1(cons(int,X152,X153)),0),0) | nth1(X158,$sum(X154,-1),X159) = nth1(X158,X154,cons(X158,X160,X159))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(forward_demodulation,[],[f24007,f285])). 119.67/118.99 tff(f24007,plain,( 119.67/118.99 ( ! [X158:ty,X156:uni,X154:$int,X152:uni,X159:uni,X157:uni,X155:ty,X153:uni,X160:uni] : (cons(int,X152,X153) = cons(int,cons_proj_11(int,cons(int,X152,X153)),X153) | tb2t(some(int,t2tb2(X154))) != tb2t(nth1(int,-1,X153)) | nth1(X155,-1,X156) = nth1(X155,0,cons(X155,X157,X156)) | ~$less(sK7(tb2t1(cons(int,X152,X153)),0),0) | nth1(X158,$sum(X154,-1),X159) = nth1(X158,X154,cons(X158,X160,X159))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(forward_demodulation,[],[f23998,f273])). 119.67/118.99 tff(f23998,plain,( 119.67/118.99 ( ! [X158:ty,X156:uni,X154:$int,X152:uni,X159:uni,X157:uni,X155:ty,X153:uni,X160:uni] : (tb2t(some(int,t2tb2(X154))) != tb2t(nth1(int,-1,X153)) | cons(int,X152,X153) = cons(int,cons_proj_11(int,cons(int,X152,X153)),cons_proj_21(int,cons(int,X152,X153))) | nth1(X155,-1,X156) = nth1(X155,0,cons(X155,X157,X156)) | ~$less(sK7(tb2t1(cons(int,X152,X153)),0),0) | nth1(X158,$sum(X154,-1),X159) = nth1(X158,X154,cons(X158,X160,X159))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(evaluation,[],[f23119])). 119.67/118.99 tff(f23119,plain,( 119.67/118.99 ( ! [X158:ty,X156:uni,X154:$int,X152:uni,X159:uni,X157:uni,X155:ty,X153:uni,X160:uni] : (tb2t(some(int,t2tb2(X154))) != tb2t(nth1(int,-1,X153)) | cons(int,X152,X153) = cons(int,cons_proj_11(int,cons(int,X152,X153)),cons_proj_21(int,cons(int,X152,X153))) | nth1(X155,$sum(0,-1),X156) = nth1(X155,0,cons(X155,X157,X156)) | ~$less(sK7(tb2t1(cons(int,X152,X153)),0),0) | nth1(X158,$sum(X154,-1),X159) = nth1(X158,X154,cons(X158,X160,X159))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(superposition,[],[f3436,f11689])). 119.67/118.99 tff(f11689,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_596 | ~spl8_904)), 119.67/118.99 inference(evaluation,[],[f10889])). 119.67/118.99 tff(f10889,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(0,-1),X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_596 | ~spl8_904)), 119.67/118.99 inference(forward_demodulation,[],[f10888,f235])). 119.67/118.99 tff(f10888,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(tb2t2(t2tb2(0)),-1),X1) = nth1(X0,tb2t2(t2tb2(0)),cons(X0,X2,X1))) ) | (~spl8_596 | ~spl8_904)), 119.67/118.99 inference(forward_demodulation,[],[f5279,f8283])). 119.67/118.99 tff(f8283,plain,( 119.67/118.99 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(0) | ~spl8_904), 119.67/118.99 inference(avatar_component_clause,[],[f8282])). 119.67/118.99 tff(f5279,plain,( 119.67/118.99 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(tb2t2(some_proj_11(int,some(int,t2tb2(0)))),-1),X1) = nth1(X0,tb2t2(some_proj_11(int,some(int,t2tb2(0)))),cons(X0,X2,X1))) ) | ~spl8_596), 119.67/118.99 inference(avatar_component_clause,[],[f5278])). 119.67/118.99 tff(f24006,plain,( 119.67/118.99 spl8_294 | spl8_1590 | spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904), 119.67/118.99 inference(avatar_split_clause,[],[f24002,f8282,f5278,f1101,f522,f24004,f1996])). 119.67/118.99 tff(f1996,plain,( 119.67/118.99 spl8_294 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_294])])). 119.67/118.99 tff(f24004,plain,( 119.67/118.99 spl8_1590 <=> ! [X168 : uni,X162 : uni,X169 : uni,X161 : uni,X163 : $int,X167 : ty] : (cons(int,X161,X162) = cons(int,cons_proj_11(int,cons(int,X161,X162)),X162) | nth1(X167,$sum(X163,-1),X168) = nth1(X167,X163,cons(X167,X169,X168)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X161,X162)),0),cons(int,X161,X162))) | tb2t(some(int,t2tb2(X163))) != tb2t(nth1(int,-1,X162)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1590])])). 119.67/118.99 tff(f24002,plain,( 119.67/118.99 ( ! [X167:ty,X165:uni,X163:$int,X161:uni,X169:uni,X166:uni,X164:ty,X162:uni,X168:uni] : (cons(int,X161,X162) = cons(int,cons_proj_11(int,cons(int,X161,X162)),X162) | tb2t(some(int,t2tb2(X163))) != tb2t(nth1(int,-1,X162)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X161,X162)),0),cons(int,X161,X162))) | nth1(X164,-1,X165) = nth1(X164,0,cons(X164,X166,X165)) | nth1(X167,$sum(X163,-1),X168) = nth1(X167,X163,cons(X167,X169,X168))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(forward_demodulation,[],[f23999,f273])). 119.67/118.99 tff(f23999,plain,( 119.67/118.99 ( ! [X167:ty,X165:uni,X163:$int,X161:uni,X169:uni,X166:uni,X164:ty,X162:uni,X168:uni] : (tb2t(some(int,t2tb2(X163))) != tb2t(nth1(int,-1,X162)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X161,X162)),0),cons(int,X161,X162))) | cons(int,X161,X162) = cons(int,cons_proj_11(int,cons(int,X161,X162)),cons_proj_21(int,cons(int,X161,X162))) | nth1(X164,-1,X165) = nth1(X164,0,cons(X164,X166,X165)) | nth1(X167,$sum(X163,-1),X168) = nth1(X167,X163,cons(X167,X169,X168))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(evaluation,[],[f23120])). 119.67/118.99 tff(f23120,plain,( 119.67/118.99 ( ! [X167:ty,X165:uni,X163:$int,X161:uni,X169:uni,X166:uni,X164:ty,X162:uni,X168:uni] : (tb2t(some(int,t2tb2(X163))) != tb2t(nth1(int,-1,X162)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X161,X162)),0),cons(int,X161,X162))) | cons(int,X161,X162) = cons(int,cons_proj_11(int,cons(int,X161,X162)),cons_proj_21(int,cons(int,X161,X162))) | nth1(X164,$sum(0,-1),X165) = nth1(X164,0,cons(X164,X166,X165)) | nth1(X167,$sum(X163,-1),X168) = nth1(X167,X163,cons(X167,X169,X168))) ) | (~spl8_41 | ~spl8_154 | ~spl8_596 | ~spl8_904)), 119.67/118.99 inference(superposition,[],[f3530,f11689])). 119.67/118.99 tff(f23924,plain,( 119.67/118.99 ~spl8_1583 | spl8_1588 | spl8_689), 119.67/118.99 inference(avatar_split_clause,[],[f23908,f5668,f23922,f23911])). 119.67/118.99 tff(f23911,plain,( 119.67/118.99 spl8_1583 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1583])])). 119.67/118.99 tff(f23922,plain,( 119.67/118.99 spl8_1588 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1588])])). 119.67/118.99 tff(f5668,plain,( 119.67/118.99 spl8_689 <=> ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_689])])). 119.67/118.99 tff(f23908,plain,( 119.67/118.99 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_689), 119.67/118.99 inference(resolution,[],[f5669,f267])). 119.67/118.99 tff(f5669,plain,( 119.67/118.99 ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | ~spl8_689), 119.67/118.99 inference(avatar_component_clause,[],[f5668])). 119.67/118.99 tff(f23920,plain,( 119.67/118.99 ~spl8_1583 | ~spl8_1587 | spl8_689), 119.67/118.99 inference(avatar_split_clause,[],[f23907,f5668,f23918,f23911])). 119.67/118.99 tff(f23918,plain,( 119.67/118.99 spl8_1587 <=> ~$less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1587])])). 119.67/118.99 tff(f23907,plain,( 119.67/118.99 ~$less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_689), 119.67/118.99 inference(resolution,[],[f5669,f266])). 119.67/118.99 tff(f23916,plain,( 119.67/118.99 ~spl8_1583 | spl8_1584 | spl8_689), 119.67/118.99 inference(avatar_split_clause,[],[f23906,f5668,f23914,f23911])). 119.67/118.99 tff(f23914,plain,( 119.67/118.99 spl8_1584 <=> $less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))), 119.67/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1584])])). 119.67/118.99 tff(f23906,plain,( 119.67/118.99 $less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_689), 119.67/118.99 inference(resolution,[],[f5669,f265])). 119.69/118.99 tff(f23904,plain,( 119.69/118.99 spl8_1576 | spl8_1580 | spl8_213 | ~spl8_888), 119.69/118.99 inference(avatar_split_clause,[],[f23903,f8079,f1359,f23847,f23565])). 119.69/118.99 tff(f23565,plain,( 119.69/118.99 spl8_1576 <=> sK0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1576])])). 119.69/118.99 tff(f23847,plain,( 119.69/118.99 spl8_1580 <=> ! [X1 : uni,X0 : uni] : (~$less(sK0,$sum(1,length1(int,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X1)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1580])])). 119.69/118.99 tff(f1359,plain,( 119.69/118.99 spl8_213 <=> ~$less(sK0,0)), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_213])])). 119.69/118.99 tff(f23903,plain,( 119.69/118.99 ( ! [X62:uni,X63:uni] : (~$less(sK0,$sum(1,length1(int,X63))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X63)) | ~no_zero1(tb2t1(cons(int,X62,X63))) | sK0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_888)), 119.69/118.99 inference(forward_demodulation,[],[f23842,f244])). 119.69/118.99 tff(f23842,plain,( 119.69/118.99 ( ! [X62:uni,X63:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X63)) | ~$less(sK0,length1(int,cons(int,X62,X63))) | ~no_zero1(tb2t1(cons(int,X62,X63))) | sK0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_888)), 119.69/118.99 inference(superposition,[],[f3984,f9678])). 119.69/118.99 tff(f3984,plain,( 119.69/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,X0)) | ~$less(sK0,length1(int,X0)) | ~no_zero1(tb2t1(X0))) ) | ~spl8_213), 119.69/118.99 inference(forward_demodulation,[],[f3981,f234])). 119.69/118.99 tff(f3981,plain,( 119.69/118.99 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,X0)) | ~$less(sK0,length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | ~spl8_213), 119.69/118.99 inference(superposition,[],[f1523,f234])). 119.69/118.99 tff(f1523,plain,( 119.69/118.99 ( ! [X4:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(X4))) | ~$less(sK0,length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_213), 119.69/118.99 inference(resolution,[],[f1360,f250])). 119.69/118.99 tff(f1360,plain,( 119.69/118.99 ~$less(sK0,0) | ~spl8_213), 119.69/118.99 inference(avatar_component_clause,[],[f1359])). 119.69/118.99 tff(f23902,plain,( 119.69/118.99 spl8_1056 | spl8_1580 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23901,f8032,f1359,f954,f23847,f23480])). 119.69/118.99 tff(f23480,plain,( 119.69/118.99 spl8_1056 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1056])])). 119.69/118.99 tff(f23901,plain,( 119.69/118.99 ( ! [X61:uni,X60:uni] : (~$less(sK0,$sum(1,length1(int,X61))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X61)) | ~no_zero1(tb2t1(cons(int,X60,X61))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23841,f244])). 119.69/118.99 tff(f23841,plain,( 119.69/118.99 ( ! [X61:uni,X60:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X61)) | ~$less(sK0,length1(int,cons(int,X60,X61))) | ~no_zero1(tb2t1(cons(int,X60,X61))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f9012])). 119.69/118.99 tff(f23900,plain,( 119.69/118.99 spl8_1560 | spl8_1572 | spl8_1580 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23899,f8032,f1359,f954,f23847,f23554,f23525])). 119.69/118.99 tff(f23525,plain,( 119.69/118.99 spl8_1560 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1560])])). 119.69/118.99 tff(f23554,plain,( 119.69/118.99 spl8_1572 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1572])])). 119.69/118.99 tff(f23899,plain,( 119.69/118.99 ( ! [X59:uni,X58:uni] : (~$less(sK0,$sum(1,length1(int,X59))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X59)) | ~no_zero1(tb2t1(cons(int,X58,X59))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23840,f244])). 119.69/118.99 tff(f23840,plain,( 119.69/118.99 ( ! [X59:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X59)) | ~$less(sK0,length1(int,cons(int,X58,X59))) | ~no_zero1(tb2t1(cons(int,X58,X59))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8957])). 119.69/118.99 tff(f23898,plain,( 119.69/118.99 spl8_1542 | spl8_1574 | spl8_1580 | ~spl8_100 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23897,f1359,f954,f895,f23847,f23558,f23489])). 119.69/118.99 tff(f23489,plain,( 119.69/118.99 spl8_1542 <=> tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1542])])). 119.69/118.99 tff(f23558,plain,( 119.69/118.99 spl8_1574 <=> tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1574])])). 119.69/118.99 tff(f23897,plain,( 119.69/118.99 ( ! [X57:uni,X56:uni] : (~$less(sK0,$sum(1,length1(int,X57))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X57)) | ~no_zero1(tb2t1(cons(int,X56,X57))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23839,f244])). 119.69/118.99 tff(f23839,plain,( 119.69/118.99 ( ! [X57:uni,X56:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X57)) | ~$less(sK0,length1(int,cons(int,X56,X57))) | ~no_zero1(tb2t1(cons(int,X56,X57))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8956])). 119.69/118.99 tff(f23896,plain,( 119.69/118.99 spl8_1548 | spl8_1574 | spl8_1580 | spl8_97 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23895,f1359,f954,f878,f23847,f23558,f23501])). 119.69/118.99 tff(f23501,plain,( 119.69/118.99 spl8_1548 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1548])])). 119.69/118.99 tff(f23895,plain,( 119.69/118.99 ( ! [X54:uni,X55:uni] : (~$less(sK0,$sum(1,length1(int,X55))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X55)) | ~no_zero1(tb2t1(cons(int,X54,X55))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23838,f244])). 119.69/118.99 tff(f23838,plain,( 119.69/118.99 ( ! [X54:uni,X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X55)) | ~$less(sK0,length1(int,cons(int,X54,X55))) | ~no_zero1(tb2t1(cons(int,X54,X55))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8955])). 119.69/118.99 tff(f23894,plain,( 119.69/118.99 spl8_1570 | spl8_1572 | spl8_1580 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23893,f1359,f954,f23847,f23554,f23547])). 119.69/118.99 tff(f23547,plain,( 119.69/118.99 spl8_1570 <=> tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1570])])). 119.69/118.99 tff(f23893,plain,( 119.69/118.99 ( ! [X52:uni,X53:uni] : (~$less(sK0,$sum(1,length1(int,X53))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X53)) | ~no_zero1(tb2t1(cons(int,X52,X53))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23837,f244])). 119.69/118.99 tff(f23837,plain,( 119.69/118.99 ( ! [X52:uni,X53:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X53)) | ~$less(sK0,length1(int,cons(int,X52,X53))) | ~no_zero1(tb2t1(cons(int,X52,X53))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8918])). 119.69/118.99 tff(f23892,plain,( 119.69/118.99 spl8_1570 | spl8_1564 | spl8_1580 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23891,f8032,f1359,f954,f23847,f23534,f23547])). 119.69/118.99 tff(f23534,plain,( 119.69/118.99 spl8_1564 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1564])])). 119.69/118.99 tff(f23891,plain,( 119.69/118.99 ( ! [X50:uni,X51:uni] : (~$less(sK0,$sum(1,length1(int,X51))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X51)) | ~no_zero1(tb2t1(cons(int,X50,X51))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23836,f244])). 119.69/118.99 tff(f23836,plain,( 119.69/118.99 ( ! [X50:uni,X51:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X51)) | ~$less(sK0,length1(int,cons(int,X50,X51))) | ~no_zero1(tb2t1(cons(int,X50,X51))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8917])). 119.69/118.99 tff(f23890,plain,( 119.69/118.99 spl8_1570 | spl8_1580 | spl8_1562 | ~spl8_100 | ~spl8_120 | spl8_213 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23889,f14432,f1359,f954,f895,f23530,f23847,f23547])). 119.69/118.99 tff(f23530,plain,( 119.69/118.99 spl8_1562 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1562])])). 119.69/118.99 tff(f23889,plain,( 119.69/118.99 ( ! [X47:uni,X46:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK0,$sum(1,length1(int,X47))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X47)) | ~no_zero1(tb2t1(cons(int,X46,X47))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23888,f14765])). 119.69/118.99 tff(f23888,plain,( 119.69/118.99 ( ! [X47:uni,X46:uni] : (~$less(sK0,$sum(1,length1(int,X47))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X47)) | ~no_zero1(tb2t1(cons(int,X46,X47))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23834,f244])). 119.69/118.99 tff(f23834,plain,( 119.69/118.99 ( ! [X47:uni,X46:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X47)) | ~$less(sK0,length1(int,cons(int,X46,X47))) | ~no_zero1(tb2t1(cons(int,X46,X47))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8913])). 119.69/118.99 tff(f23887,plain,( 119.69/118.99 spl8_1558 | spl8_1570 | spl8_1580 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23886,f1359,f954,f23847,f23547,f23522])). 119.69/118.99 tff(f23522,plain,( 119.69/118.99 spl8_1558 <=> 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1558])])). 119.69/118.99 tff(f23886,plain,( 119.69/118.99 ( ! [X45:uni,X44:uni] : (~$less(sK0,$sum(1,length1(int,X45))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X45)) | ~no_zero1(tb2t1(cons(int,X44,X45))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23833,f244])). 119.69/118.99 tff(f23833,plain,( 119.69/118.99 ( ! [X45:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X45)) | ~$less(sK0,length1(int,cons(int,X44,X45))) | ~no_zero1(tb2t1(cons(int,X44,X45))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8911])). 119.69/118.99 tff(f23885,plain,( 119.69/118.99 spl8_1568 | spl8_1580 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23884,f8032,f1359,f23847,f23543])). 119.69/118.99 tff(f23543,plain,( 119.69/118.99 spl8_1568 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1568])])). 119.69/118.99 tff(f23884,plain,( 119.69/118.99 ( ! [X43:uni,X42:uni] : (~$less(sK0,$sum(1,length1(int,X43))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X43)) | ~no_zero1(tb2t1(cons(int,X42,X43))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23832,f244])). 119.69/118.99 tff(f23832,plain,( 119.69/118.99 ( ! [X43:uni,X42:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X43)) | ~$less(sK0,length1(int,cons(int,X42,X43))) | ~no_zero1(tb2t1(cons(int,X42,X43))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8901])). 119.69/118.99 tff(f23883,plain,( 119.69/118.99 spl8_1542 | spl8_1566 | spl8_1580 | ~spl8_100 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23882,f8032,f1359,f895,f23847,f23538,f23489])). 119.69/118.99 tff(f23538,plain,( 119.69/118.99 spl8_1566 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1566])])). 119.69/118.99 tff(f23882,plain,( 119.69/118.99 ( ! [X41:uni,X40:uni] : (~$less(sK0,$sum(1,length1(int,X41))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X41)) | ~no_zero1(tb2t1(cons(int,X40,X41))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23831,f244])). 119.69/118.99 tff(f23831,plain,( 119.69/118.99 ( ! [X41:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X41)) | ~$less(sK0,length1(int,cons(int,X40,X41))) | ~no_zero1(tb2t1(cons(int,X40,X41))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8826])). 119.69/118.99 tff(f23881,plain,( 119.69/118.99 spl8_1548 | spl8_1566 | spl8_1580 | spl8_97 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23880,f8032,f1359,f878,f23847,f23538,f23501])). 119.69/118.99 tff(f23880,plain,( 119.69/118.99 ( ! [X39:uni,X38:uni] : (~$less(sK0,$sum(1,length1(int,X39))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X39)) | ~no_zero1(tb2t1(cons(int,X38,X39))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23830,f244])). 119.69/118.99 tff(f23830,plain,( 119.69/118.99 ( ! [X39:uni,X38:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X39)) | ~$less(sK0,length1(int,cons(int,X38,X39))) | ~no_zero1(tb2t1(cons(int,X38,X39))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8825])). 119.69/118.99 tff(f23879,plain,( 119.69/118.99 spl8_1560 | spl8_1564 | spl8_1580 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23878,f8032,f1359,f23847,f23534,f23525])). 119.69/118.99 tff(f23878,plain,( 119.69/118.99 ( ! [X37:uni,X36:uni] : (~$less(sK0,$sum(1,length1(int,X37))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X37)) | ~no_zero1(tb2t1(cons(int,X36,X37))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23829,f244])). 119.69/118.99 tff(f23829,plain,( 119.69/118.99 ( ! [X37:uni,X36:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X37)) | ~$less(sK0,length1(int,cons(int,X36,X37))) | ~no_zero1(tb2t1(cons(int,X36,X37))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8792])). 119.69/118.99 tff(f23877,plain,( 119.69/118.99 spl8_1560 | spl8_1580 | spl8_1562 | ~spl8_100 | spl8_213 | ~spl8_876 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23876,f14432,f8032,f1359,f895,f23530,f23847,f23525])). 119.69/118.99 tff(f23876,plain,( 119.69/118.99 ( ! [X33:uni,X32:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK0,$sum(1,length1(int,X33))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X33)) | ~no_zero1(tb2t1(cons(int,X32,X33))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23875,f14765])). 119.69/118.99 tff(f23875,plain,( 119.69/118.99 ( ! [X33:uni,X32:uni] : (~$less(sK0,$sum(1,length1(int,X33))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X33)) | ~no_zero1(tb2t1(cons(int,X32,X33))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23827,f244])). 119.69/118.99 tff(f23827,plain,( 119.69/118.99 ( ! [X33:uni,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X33)) | ~$less(sK0,length1(int,cons(int,X32,X33))) | ~no_zero1(tb2t1(cons(int,X32,X33))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8788])). 119.69/118.99 tff(f23874,plain,( 119.69/118.99 spl8_1558 | spl8_1560 | spl8_1580 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23873,f8032,f1359,f23847,f23525,f23522])). 119.69/118.99 tff(f23873,plain,( 119.69/118.99 ( ! [X30:uni,X31:uni] : (~$less(sK0,$sum(1,length1(int,X31))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X31)) | ~no_zero1(tb2t1(cons(int,X30,X31))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23826,f244])). 119.69/118.99 tff(f23826,plain,( 119.69/118.99 ( ! [X30:uni,X31:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X31)) | ~$less(sK0,length1(int,cons(int,X30,X31))) | ~no_zero1(tb2t1(cons(int,X30,X31))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8786])). 119.69/118.99 tff(f23872,plain,( 119.69/118.99 spl8_1556 | spl8_1580 | spl8_213 | ~spl8_890), 119.69/118.99 inference(avatar_split_clause,[],[f23871,f8091,f1359,f23847,f23518])). 119.69/118.99 tff(f23518,plain,( 119.69/118.99 spl8_1556 <=> some(int,t2tb2(sK0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1556])])). 119.69/118.99 tff(f23871,plain,( 119.69/118.99 ( ! [X28:uni,X29:uni] : (~$less(sK0,$sum(1,length1(int,X29))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X29)) | ~no_zero1(tb2t1(cons(int,X28,X29))) | some(int,t2tb2(sK0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_890)), 119.69/118.99 inference(forward_demodulation,[],[f23825,f244])). 119.69/118.99 tff(f23825,plain,( 119.69/118.99 ( ! [X28:uni,X29:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X29)) | ~$less(sK0,length1(int,cons(int,X28,X29))) | ~no_zero1(tb2t1(cons(int,X28,X29))) | some(int,t2tb2(sK0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_890)), 119.69/118.99 inference(superposition,[],[f3984,f8112])). 119.69/118.99 tff(f23870,plain,( 119.69/118.99 spl8_1554 | spl8_1580 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23869,f1359,f954,f23847,f23514])). 119.69/118.99 tff(f23514,plain,( 119.69/118.99 spl8_1554 <=> tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1554])])). 119.69/118.99 tff(f23869,plain,( 119.69/118.99 ( ! [X26:uni,X27:uni] : (~$less(sK0,$sum(1,length1(int,X27))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X27)) | ~no_zero1(tb2t1(cons(int,X26,X27))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23824,f244])). 119.69/118.99 tff(f23824,plain,( 119.69/118.99 ( ! [X26:uni,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X27)) | ~$less(sK0,length1(int,cons(int,X26,X27))) | ~no_zero1(tb2t1(cons(int,X26,X27))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f8035])). 119.69/118.99 tff(f23868,plain,( 119.69/118.99 spl8_1552 | spl8_1580 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23867,f8032,f1359,f23847,f23510])). 119.69/118.99 tff(f23510,plain,( 119.69/118.99 spl8_1552 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1552])])). 119.69/118.99 tff(f23867,plain,( 119.69/118.99 ( ! [X24:uni,X25:uni] : (~$less(sK0,$sum(1,length1(int,X25))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X25)) | ~no_zero1(tb2t1(cons(int,X24,X25))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(forward_demodulation,[],[f23823,f244])). 119.69/118.99 tff(f23823,plain,( 119.69/118.99 ( ! [X24:uni,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X25)) | ~$less(sK0,length1(int,cons(int,X24,X25))) | ~no_zero1(tb2t1(cons(int,X24,X25))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3984,f8033])). 119.69/118.99 tff(f23866,plain,( 119.69/118.99 spl8_1550 | spl8_1580 | spl8_97 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23865,f1359,f878,f23847,f23506])). 119.69/118.99 tff(f23506,plain,( 119.69/118.99 spl8_1550 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1550])])). 119.69/118.99 tff(f23865,plain,( 119.69/118.99 ( ! [X23:uni,X22:uni] : (~$less(sK0,$sum(1,length1(int,X23))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X23)) | ~no_zero1(tb2t1(cons(int,X22,X23))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23822,f244])). 119.69/118.99 tff(f23822,plain,( 119.69/118.99 ( ! [X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X23)) | ~$less(sK0,length1(int,cons(int,X22,X23))) | ~no_zero1(tb2t1(cons(int,X22,X23))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f7558])). 119.69/118.99 tff(f23864,plain,( 119.69/118.99 spl8_1546 | spl8_1548 | spl8_1580 | spl8_97 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23863,f1359,f878,f23847,f23501,f23496])). 119.69/118.99 tff(f23496,plain,( 119.69/118.99 spl8_1546 <=> 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1546])])). 119.69/118.99 tff(f23863,plain,( 119.69/118.99 ( ! [X19:uni,X18:uni] : (~$less(sK0,$sum(1,length1(int,X19))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X19)) | ~no_zero1(tb2t1(cons(int,X18,X19))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23820,f244])). 119.69/118.99 tff(f23820,plain,( 119.69/118.99 ( ! [X19:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X19)) | ~$less(sK0,length1(int,cons(int,X18,X19))) | ~no_zero1(tb2t1(cons(int,X18,X19))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f7446])). 119.69/118.99 tff(f23862,plain,( 119.69/118.99 spl8_1548 | spl8_1580 | spl8_1544 | spl8_97 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23861,f14432,f1359,f895,f878,f23492,f23847,f23501])). 119.69/118.99 tff(f23492,plain,( 119.69/118.99 spl8_1544 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1544])])). 119.69/118.99 tff(f23861,plain,( 119.69/118.99 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) | ~$less(sK0,$sum(1,length1(int,X17))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X17)) | ~no_zero1(tb2t1(cons(int,X16,X17))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23860,f14765])). 119.69/118.99 tff(f23860,plain,( 119.69/118.99 ( ! [X17:uni,X16:uni] : (~$less(sK0,$sum(1,length1(int,X17))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X17)) | ~no_zero1(tb2t1(cons(int,X16,X17))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23819,f244])). 119.69/118.99 tff(f23819,plain,( 119.69/118.99 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X17)) | ~$less(sK0,length1(int,cons(int,X16,X17))) | ~no_zero1(tb2t1(cons(int,X16,X17))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f7444])). 119.69/118.99 tff(f23859,plain,( 119.69/118.99 spl8_1546 | spl8_1542 | spl8_1580 | ~spl8_100 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23858,f1359,f895,f23847,f23489,f23496])). 119.69/118.99 tff(f23858,plain,( 119.69/118.99 ( ! [X8:uni,X9:uni] : (~$less(sK0,$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23815,f244])). 119.69/118.99 tff(f23815,plain,( 119.69/118.99 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X9)) | ~$less(sK0,length1(int,cons(int,X8,X9))) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f3289])). 119.69/118.99 tff(f23857,plain,( 119.69/118.99 spl8_1542 | spl8_1580 | spl8_1544 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23856,f14432,f1359,f895,f23492,f23847,f23489])). 119.69/118.99 tff(f23856,plain,( 119.69/118.99 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) | ~$less(sK0,$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23855,f14765])). 119.69/118.99 tff(f23855,plain,( 119.69/118.99 ( ! [X6:uni,X7:uni] : (~$less(sK0,$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23814,f244])). 119.69/118.99 tff(f23814,plain,( 119.69/118.99 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X7)) | ~$less(sK0,length1(int,cons(int,X6,X7))) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f3287])). 119.69/118.99 tff(f23854,plain,( 119.69/118.99 spl8_1540 | spl8_1580 | spl8_213 | ~spl8_286), 119.69/118.99 inference(avatar_split_clause,[],[f23853,f1839,f1359,f23847,f23484])). 119.69/118.99 tff(f23484,plain,( 119.69/118.99 spl8_1540 <=> some(int,t2tb2(sK0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1540])])). 119.69/118.99 tff(f23853,plain,( 119.69/118.99 ( ! [X4:uni,X5:uni] : (~$less(sK0,$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5))) | some(int,t2tb2(sK0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_286)), 119.69/118.99 inference(forward_demodulation,[],[f23813,f244])). 119.69/118.99 tff(f23813,plain,( 119.69/118.99 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X5)) | ~$less(sK0,length1(int,cons(int,X4,X5))) | ~no_zero1(tb2t1(cons(int,X4,X5))) | some(int,t2tb2(sK0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_286)), 119.69/118.99 inference(superposition,[],[f3984,f2627])). 119.69/118.99 tff(f23852,plain,( 119.69/118.99 spl8_1580 | spl8_1056 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23851,f14432,f1359,f895,f23480,f23847])). 119.69/118.99 tff(f23851,plain,( 119.69/118.99 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0))) | ~$less(sK0,$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23850,f14765])). 119.69/118.99 tff(f23850,plain,( 119.69/118.99 ( ! [X2:uni,X3:uni] : (~$less(sK0,$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(forward_demodulation,[],[f23812,f244])). 119.69/118.99 tff(f23812,plain,( 119.69/118.99 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X3)) | ~$less(sK0,length1(int,cons(int,X2,X3))) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3984,f1857])). 119.69/118.99 tff(f23849,plain,( 119.69/118.99 spl8_1536 | spl8_1580 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23845,f1359,f23847,f23472])). 119.69/118.99 tff(f23472,plain,( 119.69/118.99 spl8_1536 <=> 0 = sK0), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1536])])). 119.69/118.99 tff(f23845,plain,( 119.69/118.99 ( ! [X0:uni,X1:uni] : (~$less(sK0,$sum(1,length1(int,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X1)) | ~no_zero1(tb2t1(cons(int,X0,X1))) | 0 = sK0) ) | ~spl8_213), 119.69/118.99 inference(forward_demodulation,[],[f23811,f244])). 119.69/118.99 tff(f23811,plain,( 119.69/118.99 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X1)) | ~$less(sK0,length1(int,cons(int,X0,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | 0 = sK0) ) | ~spl8_213), 119.69/118.99 inference(superposition,[],[f3984,f287])). 119.69/118.99 tff(f23686,plain,( 119.69/118.99 spl8_908 | spl8_1578 | ~spl8_1062), 119.69/118.99 inference(avatar_split_clause,[],[f23679,f10818,f23684,f23681])). 119.69/118.99 tff(f23681,plain,( 119.69/118.99 spl8_908 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),0)), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_908])])). 119.69/118.99 tff(f23684,plain,( 119.69/118.99 spl8_1578 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(X0))) | ~zero_at1(X0,1))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1578])])). 119.69/118.99 tff(f10818,plain,( 119.69/118.99 spl8_1062 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),1)), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1062])])). 119.69/118.99 tff(f23679,plain,( 119.69/118.99 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(X0))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),0) | ~zero_at1(X0,1)) ) | ~spl8_1062), 119.69/118.99 inference(resolution,[],[f10819,f269])). 119.69/118.99 tff(f10819,plain,( 119.69/118.99 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),1) | ~spl8_1062), 119.69/118.99 inference(avatar_component_clause,[],[f10818])). 119.69/118.99 tff(f23567,plain,( 119.69/118.99 spl8_1576 | spl8_1538 | spl8_213 | ~spl8_888), 119.69/118.99 inference(avatar_split_clause,[],[f23468,f8079,f1359,f23475,f23565])). 119.69/118.99 tff(f23475,plain,( 119.69/118.99 spl8_1538 <=> ! [X1 : uni,X3 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X2)) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | ~$less(sK0,X3))), 119.69/118.99 introduced(avatar_definition,[new_symbols(naming,[spl8_1538])])). 119.69/118.99 tff(f23468,plain,( 119.69/118.99 ( ! [X94:uni,X95:uni,X96:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X95)) | ~$less(sK0,X96) | ~zero_at1(tb2t1(cons(int,X94,X95)),X96) | sK0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_888)), 119.69/118.99 inference(superposition,[],[f3936,f9678])). 119.69/118.99 tff(f3936,plain,( 119.69/118.99 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,X0)) | ~$less(sK0,X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_213), 119.69/118.99 inference(superposition,[],[f1522,f234])). 119.69/118.99 tff(f1522,plain,( 119.69/118.99 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(X2))) | ~$less(sK0,X3) | ~zero_at1(X2,X3)) ) | ~spl8_213), 119.69/118.99 inference(resolution,[],[f1360,f269])). 119.69/118.99 tff(f23563,plain,( 119.69/118.99 spl8_1056 | spl8_1538 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23467,f8032,f1359,f954,f23475,f23480])). 119.69/118.99 tff(f23467,plain,( 119.69/118.99 ( ! [X92:uni,X93:$int,X91:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X92)) | ~$less(sK0,X93) | ~zero_at1(tb2t1(cons(int,X91,X92)),X93) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f9012])). 119.69/118.99 tff(f23562,plain,( 119.69/118.99 spl8_1560 | spl8_1572 | spl8_1538 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23466,f8032,f1359,f954,f23475,f23554,f23525])). 119.69/118.99 tff(f23466,plain,( 119.69/118.99 ( ! [X90:$int,X88:uni,X89:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X89)) | ~$less(sK0,X90) | ~zero_at1(tb2t1(cons(int,X88,X89)),X90) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8957])). 119.69/118.99 tff(f23561,plain,( 119.69/118.99 spl8_1542 | spl8_1574 | spl8_1538 | ~spl8_100 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23465,f1359,f954,f895,f23475,f23558,f23489])). 119.69/118.99 tff(f23465,plain,( 119.69/118.99 ( ! [X87:$int,X85:uni,X86:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X86)) | ~$less(sK0,X87) | ~zero_at1(tb2t1(cons(int,X85,X86)),X87) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3936,f8956])). 119.69/118.99 tff(f23560,plain,( 119.69/118.99 spl8_1548 | spl8_1574 | spl8_1538 | spl8_97 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23464,f1359,f954,f878,f23475,f23558,f23501])). 119.69/118.99 tff(f23464,plain,( 119.69/118.99 ( ! [X83:uni,X84:$int,X82:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X83)) | ~$less(sK0,X84) | ~zero_at1(tb2t1(cons(int,X82,X83)),X84) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3936,f8955])). 119.69/118.99 tff(f23556,plain,( 119.69/118.99 spl8_1570 | spl8_1572 | spl8_1538 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23463,f1359,f954,f23475,f23554,f23547])). 119.69/118.99 tff(f23463,plain,( 119.69/118.99 ( ! [X80:uni,X81:$int,X79:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X80)) | ~$less(sK0,X81) | ~zero_at1(tb2t1(cons(int,X79,X80)),X81) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3936,f8918])). 119.69/118.99 tff(f23552,plain,( 119.69/118.99 spl8_1570 | spl8_1564 | spl8_1538 | ~spl8_120 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23462,f8032,f1359,f954,f23475,f23534,f23547])). 119.69/118.99 tff(f23462,plain,( 119.69/118.99 ( ! [X78:$int,X76:uni,X77:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X77)) | ~$less(sK0,X78) | ~zero_at1(tb2t1(cons(int,X76,X77)),X78) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_120 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8917])). 119.69/118.99 tff(f23551,plain,( 119.69/118.99 spl8_1570 | spl8_1538 | spl8_1562 | ~spl8_100 | ~spl8_120 | spl8_213 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23550,f14432,f1359,f954,f895,f23530,f23475,f23547])). 119.69/118.99 tff(f23550,plain,( 119.69/118.99 ( ! [X70:uni,X72:$int,X71:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X71)) | ~$less(sK0,X72) | ~zero_at1(tb2t1(cons(int,X70,X71)),X72) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213 | ~spl8_1300)), 119.69/118.99 inference(forward_demodulation,[],[f23460,f14765])). 119.69/118.99 tff(f23460,plain,( 119.69/118.99 ( ! [X70:uni,X72:$int,X71:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X71)) | ~$less(sK0,X72) | ~zero_at1(tb2t1(cons(int,X70,X71)),X72) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3936,f8913])). 119.69/118.99 tff(f23549,plain,( 119.69/118.99 spl8_1558 | spl8_1570 | spl8_1538 | ~spl8_120 | spl8_213), 119.69/118.99 inference(avatar_split_clause,[],[f23459,f1359,f954,f23475,f23547,f23522])). 119.69/118.99 tff(f23459,plain,( 119.69/118.99 ( ! [X68:uni,X69:$int,X67:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X68)) | ~$less(sK0,X69) | ~zero_at1(tb2t1(cons(int,X67,X68)),X69) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_120 | ~spl8_213)), 119.69/118.99 inference(superposition,[],[f3936,f8911])). 119.69/118.99 tff(f23545,plain,( 119.69/118.99 spl8_1568 | spl8_1538 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23458,f8032,f1359,f23475,f23543])). 119.69/118.99 tff(f23458,plain,( 119.69/118.99 ( ! [X66:$int,X64:uni,X65:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X65)) | ~$less(sK0,X66) | ~zero_at1(tb2t1(cons(int,X64,X65)),X66) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8901])). 119.69/118.99 tff(f23541,plain,( 119.69/118.99 spl8_1542 | spl8_1566 | spl8_1538 | ~spl8_100 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23457,f8032,f1359,f895,f23475,f23538,f23489])). 119.69/118.99 tff(f23457,plain,( 119.69/118.99 ( ! [X61:uni,X62:uni,X63:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X62)) | ~$less(sK0,X63) | ~zero_at1(tb2t1(cons(int,X61,X62)),X63) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8826])). 119.69/118.99 tff(f23540,plain,( 119.69/118.99 spl8_1548 | spl8_1566 | spl8_1538 | spl8_97 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23456,f8032,f1359,f878,f23475,f23538,f23501])). 119.69/118.99 tff(f23456,plain,( 119.69/118.99 ( ! [X59:uni,X60:$int,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X59)) | ~$less(sK0,X60) | ~zero_at1(tb2t1(cons(int,X58,X59)),X60) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8825])). 119.69/118.99 tff(f23536,plain,( 119.69/118.99 spl8_1560 | spl8_1564 | spl8_1538 | spl8_213 | ~spl8_876), 119.69/118.99 inference(avatar_split_clause,[],[f23455,f8032,f1359,f23475,f23534,f23525])). 119.69/118.99 tff(f23455,plain,( 119.69/118.99 ( ! [X57:$int,X56:uni,X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X56)) | ~$less(sK0,X57) | ~zero_at1(tb2t1(cons(int,X55,X56)),X57) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_876)), 119.69/118.99 inference(superposition,[],[f3936,f8792])). 119.69/118.99 tff(f23532,plain,( 119.69/118.99 spl8_1560 | spl8_1538 | spl8_1562 | ~spl8_100 | spl8_213 | ~spl8_876 | ~spl8_1300), 119.69/118.99 inference(avatar_split_clause,[],[f23528,f14432,f8032,f1359,f895,f23530,f23475,f23525])). 119.69/119.00 tff(f23528,plain,( 119.69/119.00 ( ! [X50:uni,X51:$int,X49:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X50)) | ~$less(sK0,X51) | ~zero_at1(tb2t1(cons(int,X49,X50)),X51) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f23453,f14765])). 119.69/119.00 tff(f23453,plain,( 119.69/119.00 ( ! [X50:uni,X51:$int,X49:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X50)) | ~$less(sK0,X51) | ~zero_at1(tb2t1(cons(int,X49,X50)),X51) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3936,f8788])). 119.69/119.00 tff(f23527,plain,( 119.69/119.00 spl8_1558 | spl8_1560 | spl8_1538 | spl8_213 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f23452,f8032,f1359,f23475,f23525,f23522])). 119.69/119.00 tff(f23452,plain,( 119.69/119.00 ( ! [X47:uni,X48:$int,X46:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X47)) | ~$less(sK0,X48) | ~zero_at1(tb2t1(cons(int,X46,X47)),X48) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_213 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3936,f8786])). 119.69/119.00 tff(f23520,plain,( 119.69/119.00 spl8_1556 | spl8_1538 | spl8_213 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f23451,f8091,f1359,f23475,f23518])). 119.69/119.00 tff(f23451,plain,( 119.69/119.00 ( ! [X45:$int,X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X44)) | ~$less(sK0,X45) | ~zero_at1(tb2t1(cons(int,X43,X44)),X45) | some(int,t2tb2(sK0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f3936,f8112])). 119.69/119.00 tff(f23516,plain,( 119.69/119.00 spl8_1554 | spl8_1538 | ~spl8_120 | spl8_213), 119.69/119.00 inference(avatar_split_clause,[],[f23450,f1359,f954,f23475,f23514])). 119.69/119.00 tff(f23450,plain,( 119.69/119.00 ( ! [X41:uni,X42:$int,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X41)) | ~$less(sK0,X42) | ~zero_at1(tb2t1(cons(int,X40,X41)),X42) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f8035])). 119.69/119.00 tff(f23512,plain,( 119.69/119.00 spl8_1552 | spl8_1538 | spl8_213 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f23449,f8032,f1359,f23475,f23510])). 119.69/119.00 tff(f23449,plain,( 119.69/119.00 ( ! [X39:$int,X37:uni,X38:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X38)) | ~$less(sK0,X39) | ~zero_at1(tb2t1(cons(int,X37,X38)),X39) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_213 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3936,f8033])). 119.69/119.00 tff(f23508,plain,( 119.69/119.00 spl8_1550 | spl8_1538 | spl8_97 | spl8_213), 119.69/119.00 inference(avatar_split_clause,[],[f23448,f1359,f878,f23475,f23506])). 119.69/119.00 tff(f23448,plain,( 119.69/119.00 ( ! [X35:uni,X36:$int,X34:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X35)) | ~$less(sK0,X36) | ~zero_at1(tb2t1(cons(int,X34,X35)),X36) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f7558])). 119.69/119.00 tff(f23504,plain,( 119.69/119.00 spl8_1546 | spl8_1548 | spl8_1538 | spl8_97 | spl8_213), 119.69/119.00 inference(avatar_split_clause,[],[f23446,f1359,f878,f23475,f23501,f23496])). 119.69/119.00 tff(f23446,plain,( 119.69/119.00 ( ! [X30:$int,X28:uni,X29:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X29)) | ~$less(sK0,X30) | ~zero_at1(tb2t1(cons(int,X28,X29)),X30) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f7446])). 119.69/119.00 tff(f23503,plain,( 119.69/119.00 spl8_1548 | spl8_1538 | spl8_1544 | spl8_97 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f23499,f14432,f1359,f895,f878,f23492,f23475,f23501])). 119.69/119.00 tff(f23499,plain,( 119.69/119.00 ( ! [X26:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X26)) | ~$less(sK0,X27) | ~zero_at1(tb2t1(cons(int,X25,X26)),X27) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f23445,f14765])). 119.69/119.00 tff(f23445,plain,( 119.69/119.00 ( ! [X26:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X26)) | ~$less(sK0,X27) | ~zero_at1(tb2t1(cons(int,X25,X26)),X27) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_100 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f7444])). 119.69/119.00 tff(f23498,plain,( 119.69/119.00 spl8_1546 | spl8_1542 | spl8_1538 | ~spl8_100 | spl8_213), 119.69/119.00 inference(avatar_split_clause,[],[f23441,f1359,f895,f23475,f23489,f23496])). 119.69/119.00 tff(f23441,plain,( 119.69/119.00 ( ! [X14:uni,X15:$int,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X14)) | ~$less(sK0,X15) | ~zero_at1(tb2t1(cons(int,X13,X14)),X15) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f3289])). 119.69/119.00 tff(f23494,plain,( 119.69/119.00 spl8_1542 | spl8_1538 | spl8_1544 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f23487,f14432,f1359,f895,f23492,f23475,f23489])). 119.69/119.00 tff(f23487,plain,( 119.69/119.00 ( ! [X12:$int,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X11)) | ~$less(sK0,X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f23440,f14765])). 119.69/119.00 tff(f23440,plain,( 119.69/119.00 ( ! [X12:$int,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X11)) | ~$less(sK0,X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),-1),t2tb1(sK2)))) ) | (~spl8_100 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f3287])). 119.69/119.00 tff(f23486,plain,( 119.69/119.00 spl8_1540 | spl8_1538 | spl8_213 | ~spl8_286), 119.69/119.00 inference(avatar_split_clause,[],[f23439,f1839,f1359,f23475,f23484])). 119.69/119.00 tff(f23439,plain,( 119.69/119.00 ( ! [X8:uni,X7:uni,X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X8)) | ~$less(sK0,X9) | ~zero_at1(tb2t1(cons(int,X7,X8)),X9) | some(int,t2tb2(sK0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2)))) ) | (~spl8_213 | ~spl8_286)), 119.69/119.00 inference(superposition,[],[f3936,f2627])). 119.69/119.00 tff(f23482,plain,( 119.69/119.00 spl8_1538 | spl8_1056 | ~spl8_100 | spl8_213 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f23478,f14432,f1359,f895,f23480,f23475])). 119.69/119.00 tff(f23478,plain,( 119.69/119.00 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X5)) | ~$less(sK0,X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6)) ) | (~spl8_100 | ~spl8_213 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f23438,f14765])). 119.69/119.00 tff(f23438,plain,( 119.69/119.00 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X5)) | ~$less(sK0,X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6) | tb2t(some(int,t2tb2(sK0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))),cons(int,t2tb2(sK0),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_213)), 119.69/119.00 inference(superposition,[],[f3936,f1857])). 119.69/119.00 tff(f23477,plain,( 119.69/119.00 spl8_1536 | spl8_1538 | spl8_213), 119.69/119.00 inference(avatar_split_clause,[],[f23437,f1359,f23475,f23472])). 119.69/119.00 tff(f23437,plain,( 119.69/119.00 ( ! [X2:uni,X3:$int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),X2)) | ~$less(sK0,X3) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | 0 = sK0) ) | ~spl8_213), 119.69/119.00 inference(superposition,[],[f3936,f287])). 119.69/119.00 tff(f23427,plain,( 119.69/119.00 spl8_1514 | spl8_1534 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23334,f2348,f1101,f522,f23425,f23387])). 119.69/119.00 tff(f23387,plain,( 119.69/119.00 spl8_1514 <=> cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1514])])). 119.69/119.00 tff(f23425,plain,( 119.69/119.00 spl8_1534 <=> ! [X63 : uni,X65 : ty,X67 : uni,X60 : $int,X62 : ty,X64 : uni,X66 : uni,X61 : $int] : (tb2t(some(int,t2tb2(X61))) != tb2t(nth1(int,X60,t2tb1(sK2))) | 0 = X60 | nth1(X65,$sum(X61,-1),X66) = nth1(X65,X61,cons(X65,X67,X66)) | nth1(X62,$sum(X60,-2),X63) = nth1(X62,$sum(X60,-1),cons(X62,X64,X63)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X60,-1)),cons_proj_21(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1534])])). 119.69/119.00 tff(f23334,plain,( 119.69/119.00 ( ! [X61:$int,X66:uni,X64:uni,X62:ty,X60:$int,X67:uni,X65:ty,X63:uni] : (tb2t(some(int,t2tb2(X61))) != tb2t(nth1(int,X60,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X60,-1)),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X62,$sum(X60,-2),X63) = nth1(X62,$sum(X60,-1),cons(X62,X64,X63)) | nth1(X65,$sum(X61,-1),X66) = nth1(X65,X61,cons(X65,X67,X66)) | 0 = X60) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23332])). 119.69/119.00 tff(f23332,plain,( 119.69/119.00 ( ! [X61:$int,X66:uni,X64:uni,X62:ty,X60:$int,X67:uni,X65:ty,X63:uni] : (tb2t(some(int,t2tb2(X61))) != tb2t(nth1(int,X60,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X60,-1)),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X62,$sum($sum(X60,-1),-1),X63) = nth1(X62,$sum(X60,-1),cons(X62,X64,X63)) | nth1(X65,$sum(X61,-1),X66) = nth1(X65,X61,cons(X65,X67,X66)) | 0 = X60) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f3530,f3737])). 119.69/119.00 tff(f3737,plain,( 119.69/119.00 ( ! [X3:$int] : (nth1(int,X3,t2tb1(sK2)) = nth1(int,$sum(X3,-1),cons_proj_21(int,t2tb1(sK2))) | 0 = X3) ) | ~spl8_330), 119.69/119.00 inference(superposition,[],[f287,f2349])). 119.69/119.00 tff(f23423,plain,( 119.69/119.00 spl8_1514 | spl8_1532 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23335,f2348,f1101,f522,f23421,f23387])). 119.69/119.00 tff(f23421,plain,( 119.69/119.00 spl8_1532 <=> ! [X53 : $int,X55 : uni,X56 : uni,X58 : uni,X52 : $int,X54 : ty,X57 : ty,X59 : uni] : (tb2t(some(int,t2tb2(X53))) != tb2t(nth1(int,X52,t2tb1(sK2))) | 0 = X52 | nth1(X57,$sum(X53,-1),X58) = nth1(X57,X53,cons(X57,X59,X58)) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X52,-1)),0) | nth1(X54,$sum(X52,-2),X55) = nth1(X54,$sum(X52,-1),cons(X54,X56,X55)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1532])])). 119.69/119.00 tff(f23335,plain,( 119.69/119.00 ( ! [X59:uni,X57:ty,X54:ty,X52:$int,X58:uni,X56:uni,X55:uni,X53:$int] : (tb2t(some(int,t2tb2(X53))) != tb2t(nth1(int,X52,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X54,$sum(X52,-2),X55) = nth1(X54,$sum(X52,-1),cons(X54,X56,X55)) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X52,-1)),0) | nth1(X57,$sum(X53,-1),X58) = nth1(X57,X53,cons(X57,X59,X58)) | 0 = X52) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23331])). 119.69/119.00 tff(f23331,plain,( 119.69/119.00 ( ! [X59:uni,X57:ty,X54:ty,X52:$int,X58:uni,X56:uni,X55:uni,X53:$int] : (tb2t(some(int,t2tb2(X53))) != tb2t(nth1(int,X52,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X54,$sum($sum(X52,-1),-1),X55) = nth1(X54,$sum(X52,-1),cons(X54,X56,X55)) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X52,-1)),0) | nth1(X57,$sum(X53,-1),X58) = nth1(X57,X53,cons(X57,X59,X58)) | 0 = X52) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f3436,f3737])). 119.69/119.00 tff(f23419,plain,( 119.69/119.00 spl8_1530 | spl8_1514 | spl8_1524 | ~spl8_186 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23336,f2348,f2831,f23405,f23387,f23417])). 119.69/119.00 tff(f23417,plain,( 119.69/119.00 spl8_1530 <=> zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1530])])). 119.69/119.00 tff(f23405,plain,( 119.69/119.00 spl8_1524 <=> ! [X40 : ty,X42 : uni,X41 : uni,X39 : $int] : (tb2t(nth1(int,X39,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X39,-1)))) | 0 = X39 | nth1(X40,$sum(X39,-2),X41) = nth1(X40,$sum(X39,-1),cons(X40,X42,X41)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1524])])). 119.69/119.00 tff(f23336,plain,( 119.69/119.00 ( ! [X50:uni,X48:$int,X51:uni,X49:ty] : (tb2t(nth1(int,X48,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X48,-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),0) | nth1(X49,$sum(X48,-2),X50) = nth1(X49,$sum(X48,-1),cons(X49,X51,X50)) | 0 = X48) ) | (~spl8_186 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23330])). 119.69/119.00 tff(f23330,plain,( 119.69/119.00 ( ! [X50:uni,X48:$int,X51:uni,X49:ty] : (tb2t(nth1(int,X48,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X48,-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),0) | nth1(X49,$sum($sum(X48,-1),-1),X50) = nth1(X49,$sum(X48,-1),cons(X49,X51,X50)) | 0 = X48) ) | (~spl8_186 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f2964,f3737])). 119.69/119.00 tff(f23415,plain,( 119.69/119.00 spl8_1514 | ~spl8_1529 | spl8_1524 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23337,f2348,f1101,f522,f23405,f23413,f23387])). 119.69/119.00 tff(f23413,plain,( 119.69/119.00 spl8_1529 <=> ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1529])])). 119.69/119.00 tff(f23337,plain,( 119.69/119.00 ( ! [X47:uni,X45:ty,X46:uni,X44:$int] : (tb2t(nth1(int,X44,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X44,-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X45,$sum(X44,-2),X46) = nth1(X45,$sum(X44,-1),cons(X45,X47,X46)) | 0 = X44) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23329])). 119.69/119.00 tff(f23329,plain,( 119.69/119.00 ( ! [X47:uni,X45:ty,X46:uni,X44:$int] : (tb2t(nth1(int,X44,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X44,-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X45,$sum($sum(X44,-1),-1),X46) = nth1(X45,$sum(X44,-1),cons(X45,X47,X46)) | 0 = X44) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f2894,f3737])). 119.69/119.00 tff(f23411,plain,( 119.69/119.00 spl8_1514 | spl8_1526 | ~spl8_12 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23338,f2348,f751,f23409,f23387])). 119.69/119.00 tff(f23409,plain,( 119.69/119.00 spl8_1526 <=> ! [X43 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X43,t2tb1(sK2))) | 0 = X43 | $less(X43,1) | ~$less($sum(X43,-1),length1(int,cons_proj_21(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1526])])). 119.69/119.00 tff(f23338,plain,( 119.69/119.00 ( ! [X43:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X43,t2tb1(sK2))) | ~$less($sum(X43,-1),length1(int,cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | $less(X43,1) | 0 = X43) ) | (~spl8_12 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23328])). 119.69/119.00 tff(f23328,plain,( 119.69/119.00 ( ! [X43:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X43,t2tb1(sK2))) | ~$less($sum(X43,-1),length1(int,cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | $less($sum(X43,-1),0) | 0 = X43) ) | (~spl8_12 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f2241,f3737])). 119.69/119.00 tff(f23407,plain,( 119.69/119.00 spl8_1514 | spl8_1522 | spl8_1524 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23339,f2348,f1101,f522,f23405,f23402,f23387])). 119.69/119.00 tff(f23402,plain,( 119.69/119.00 spl8_1522 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),cons_proj_21(int,t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1522])])). 119.69/119.00 tff(f23339,plain,( 119.69/119.00 ( ! [X39:$int,X41:uni,X42:uni,X40:ty] : (tb2t(nth1(int,X39,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X39,-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X40,$sum(X39,-2),X41) = nth1(X40,$sum(X39,-1),cons(X40,X42,X41)) | 0 = X39) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23327])). 119.69/119.00 tff(f23327,plain,( 119.69/119.00 ( ! [X39:$int,X41:uni,X42:uni,X40:ty] : (tb2t(nth1(int,X39,t2tb1(sK2))) != tb2t(some(int,t2tb2($sum(X39,-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),0),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X40,$sum($sum(X39,-1),-1),X41) = nth1(X40,$sum(X39,-1),cons(X40,X42,X41)) | 0 = X39) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f2063,f3737])). 119.69/119.00 tff(f23400,plain,( 119.69/119.00 spl8_1514 | spl8_1520 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23340,f2348,f1101,f522,f23398,f23387])). 119.69/119.00 tff(f23398,plain,( 119.69/119.00 spl8_1520 <=> ! [X36 : ty,X38 : uni,X35 : $int,X37 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X35,t2tb1(sK2))) | 0 = X35 | nth1(X36,$sum(X35,-2),X37) = nth1(X36,$sum(X35,-1),cons(X36,X38,X37)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X35,-1)),cons_proj_21(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1520])])). 119.69/119.00 tff(f23340,plain,( 119.69/119.00 ( ! [X37:uni,X35:$int,X38:uni,X36:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X35,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X35,-1)),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X36,$sum(X35,-2),X37) = nth1(X36,$sum(X35,-1),cons(X36,X38,X37)) | 0 = X35) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23326])). 119.69/119.00 tff(f23326,plain,( 119.69/119.00 ( ! [X37:uni,X35:$int,X38:uni,X36:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X35,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X35,-1)),cons_proj_21(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X36,$sum($sum(X35,-1),-1),X37) = nth1(X36,$sum(X35,-1),cons(X36,X38,X37)) | 0 = X35) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f1948,f3737])). 119.69/119.00 tff(f23396,plain,( 119.69/119.00 spl8_1514 | spl8_1518 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23341,f2348,f1101,f522,f23394,f23387])). 119.69/119.00 tff(f23394,plain,( 119.69/119.00 spl8_1518 <=> ! [X32 : ty,X34 : uni,X31 : $int,X33 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X31,t2tb1(sK2))) | 0 = X31 | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X31,-1)),0) | nth1(X32,$sum(X31,-2),X33) = nth1(X32,$sum(X31,-1),cons(X32,X34,X33)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1518])])). 119.69/119.00 tff(f23341,plain,( 119.69/119.00 ( ! [X33:uni,X31:$int,X34:uni,X32:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X31,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X32,$sum(X31,-2),X33) = nth1(X32,$sum(X31,-1),cons(X32,X34,X33)) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X31,-1)),0) | 0 = X31) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23325])). 119.69/119.00 tff(f23325,plain,( 119.69/119.00 ( ! [X33:uni,X31:$int,X34:uni,X32:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X31,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X32,$sum($sum(X31,-1),-1),X33) = nth1(X32,$sum(X31,-1),cons(X32,X34,X33)) | ~$less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X31,-1)),0) | 0 = X31) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f1946,f3737])). 119.69/119.00 tff(f23392,plain,( 119.69/119.00 spl8_1514 | spl8_1516 | spl8_41 | ~spl8_154 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f23342,f2348,f1101,f522,f23390,f23387])). 119.69/119.00 tff(f23390,plain,( 119.69/119.00 spl8_1516 <=> ! [X27 : $int,X29 : uni,X28 : ty,X30 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X27,t2tb1(sK2))) | 0 = X27 | $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X27,-1)),$sum(X27,-1)) | nth1(X28,$sum(X27,-2),X29) = nth1(X28,$sum(X27,-1),cons(X28,X30,X29)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1516])])). 119.69/119.00 tff(f23342,plain,( 119.69/119.00 ( ! [X30:uni,X28:ty,X29:uni,X27:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X27,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X28,$sum(X27,-2),X29) = nth1(X28,$sum(X27,-1),cons(X28,X30,X29)) | $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X27,-1)),$sum(X27,-1)) | 0 = X27) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(evaluation,[],[f23324])). 119.69/119.00 tff(f23324,plain,( 119.69/119.00 ( ! [X30:uni,X28:ty,X29:uni,X27:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X27,t2tb1(sK2))) | cons(int,cons_proj_11(int,cons_proj_21(int,t2tb1(sK2))),cons_proj_21(int,cons_proj_21(int,t2tb1(sK2)))) = cons_proj_21(int,t2tb1(sK2)) | nth1(X28,$sum($sum(X27,-1),-1),X29) = nth1(X28,$sum(X27,-1),cons(X28,X30,X29)) | $less(sK7(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(X27,-1)),$sum(X27,-1)) | 0 = X27) ) | (~spl8_41 | ~spl8_154 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f1945,f3737])). 119.69/119.00 tff(f23385,plain,( 119.69/119.00 spl8_658 | spl8_1512 | ~spl8_1509 | ~spl8_330 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f23322,f7693,f2348,f23376,f23383,f5560])). 119.69/119.00 tff(f5560,plain,( 119.69/119.00 spl8_658 <=> 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_658])])). 119.69/119.00 tff(f23383,plain,( 119.69/119.00 spl8_1512 <=> ! [X22 : $int,X21 : uni] : (~zero_at1(tb2t1(cons(int,X21,cons_proj_21(int,t2tb1(sK2)))),X22) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X22))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1512])])). 119.69/119.00 tff(f23376,plain,( 119.69/119.00 spl8_1509 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1509])])). 119.69/119.00 tff(f7693,plain,( 119.69/119.00 spl8_826 <=> ! [X18 : uni,X17 : uni,X19 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X18)) | ~zero_at1(tb2t1(cons(int,X17,X18)),X19) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X19))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_826])])). 119.69/119.00 tff(f23322,plain,( 119.69/119.00 ( ! [X21:uni,X22:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~zero_at1(tb2t1(cons(int,X21,cons_proj_21(int,t2tb1(sK2)))),X22) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X22) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_330 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f3737])). 119.69/119.00 tff(f7694,plain,( 119.69/119.00 ( ! [X19:$int,X17:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X18)) | ~zero_at1(tb2t1(cons(int,X17,X18)),X19) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X19)) ) | ~spl8_826), 119.69/119.00 inference(avatar_component_clause,[],[f7693])). 119.69/119.00 tff(f23381,plain,( 119.69/119.00 spl8_658 | spl8_1498 | ~spl8_1509 | ~spl8_1511 | ~spl8_330 | ~spl8_444 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f23374,f7743,f3742,f2348,f23379,f23376,f23357,f5560])). 119.69/119.00 tff(f23357,plain,( 119.69/119.00 spl8_1498 <=> ! [X16 : uni] : ~no_zero1(tb2t1(cons(int,X16,cons_proj_21(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1498])])). 119.69/119.00 tff(f23379,plain,( 119.69/119.00 spl8_1511 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1511])])). 119.69/119.00 tff(f3742,plain,( 119.69/119.00 spl8_444 <=> length1(int,t2tb1(sK2)) = $sum(1,length1(int,cons_proj_21(int,t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_444])])). 119.69/119.00 tff(f7743,plain,( 119.69/119.00 spl8_838 <=> ! [X1 : uni,X0 : uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_838])])). 119.69/119.00 tff(f23374,plain,( 119.69/119.00 ( ! [X20:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~no_zero1(tb2t1(cons(int,X20,cons_proj_21(int,t2tb1(sK2))))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_330 | ~spl8_444 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f23321,f3743])). 119.69/119.00 tff(f3743,plain,( 119.69/119.00 length1(int,t2tb1(sK2)) = $sum(1,length1(int,cons_proj_21(int,t2tb1(sK2)))) | ~spl8_444), 119.69/119.00 inference(avatar_component_clause,[],[f3742])). 119.69/119.00 tff(f23321,plain,( 119.69/119.00 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~no_zero1(tb2t1(cons(int,X20,cons_proj_21(int,t2tb1(sK2))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,t2tb1(sK2))))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_330 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f3737])). 119.69/119.00 tff(f7744,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)) | ~no_zero1(tb2t1(cons(int,X0,X1))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X1)))) ) | ~spl8_838), 119.69/119.00 inference(avatar_component_clause,[],[f7743])). 119.69/119.00 tff(f23373,plain,( 119.69/119.00 spl8_158 | spl8_1506 | ~spl8_1501 | ~spl8_330 | ~spl8_920), 119.69/119.00 inference(avatar_split_clause,[],[f23320,f8594,f2348,f23360,f23371,f1113])). 119.69/119.00 tff(f1113,plain,( 119.69/119.00 spl8_158 <=> 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_158])])). 119.69/119.00 tff(f23371,plain,( 119.69/119.00 spl8_1506 <=> ! [X19 : uni] : ~zero_at1(tb2t1(cons(int,X19,cons_proj_21(int,t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1506])])). 119.69/119.00 tff(f23360,plain,( 119.69/119.00 spl8_1501 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1501])])). 119.69/119.00 tff(f8594,plain,( 119.69/119.00 spl8_920 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_920])])). 119.69/119.00 tff(f23320,plain,( 119.69/119.00 ( ! [X19:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2))) | ~zero_at1(tb2t1(cons(int,X19,cons_proj_21(int,t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_330 | ~spl8_920)), 119.69/119.00 inference(superposition,[],[f8595,f3737])). 119.69/119.00 tff(f8595,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_920), 119.69/119.00 inference(avatar_component_clause,[],[f8594])). 119.69/119.00 tff(f23369,plain,( 119.69/119.00 spl8_158 | spl8_1504 | ~spl8_1501 | ~spl8_330 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f23319,f9969,f2348,f23360,f23367,f1113])). 119.69/119.00 tff(f23367,plain,( 119.69/119.00 spl8_1504 <=> ! [X18 : $int,X17 : uni] : (~zero_at1(tb2t1(cons(int,X17,cons_proj_21(int,t2tb1(sK2)))),X18) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X18))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1504])])). 119.69/119.00 tff(f9969,plain,( 119.69/119.00 spl8_996 <=> ! [X110 : uni,X109 : uni,X111 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X110)) | ~zero_at1(tb2t1(cons(int,X109,X110)),X111) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X111))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_996])])). 119.69/119.00 tff(f23319,plain,( 119.69/119.00 ( ! [X17:uni,X18:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2))) | ~zero_at1(tb2t1(cons(int,X17,cons_proj_21(int,t2tb1(sK2)))),X18) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X18) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_330 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f3737])). 119.69/119.00 tff(f9970,plain,( 119.69/119.00 ( ! [X111:$int,X109:uni,X110:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X110)) | ~zero_at1(tb2t1(cons(int,X109,X110)),X111) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X111)) ) | ~spl8_996), 119.69/119.00 inference(avatar_component_clause,[],[f9969])). 119.69/119.00 tff(f23365,plain,( 119.69/119.00 spl8_158 | spl8_1498 | ~spl8_1501 | ~spl8_1503 | ~spl8_330 | ~spl8_444 | ~spl8_998), 119.69/119.00 inference(avatar_split_clause,[],[f23355,f9973,f3742,f2348,f23363,f23360,f23357,f1113])). 119.69/119.00 tff(f23363,plain,( 119.69/119.00 spl8_1503 <=> ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1503])])). 119.69/119.00 tff(f9973,plain,( 119.69/119.00 spl8_998 <=> ! [X108 : uni,X107 : uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X108))) | ~no_zero1(tb2t1(cons(int,X107,X108))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X108)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_998])])). 119.69/119.00 tff(f23355,plain,( 119.69/119.00 ( ! [X16:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2))) | ~no_zero1(tb2t1(cons(int,X16,cons_proj_21(int,t2tb1(sK2))))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_330 | ~spl8_444 | ~spl8_998)), 119.69/119.00 inference(forward_demodulation,[],[f23318,f3743])). 119.69/119.00 tff(f23318,plain,( 119.69/119.00 ( ! [X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2))) | ~no_zero1(tb2t1(cons(int,X16,cons_proj_21(int,t2tb1(sK2))))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,cons_proj_21(int,t2tb1(sK2))))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_330 | ~spl8_998)), 119.69/119.00 inference(superposition,[],[f9974,f3737])). 119.69/119.00 tff(f9974,plain,( 119.69/119.00 ( ! [X107:uni,X108:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X108)) | ~no_zero1(tb2t1(cons(int,X107,X108))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X108)))) ) | ~spl8_998), 119.69/119.00 inference(avatar_component_clause,[],[f9973])). 119.69/119.00 tff(f23354,plain,( 119.69/119.00 spl8_234 | spl8_1496 | spl8_1494 | ~spl8_330 | ~spl8_408), 119.69/119.00 inference(avatar_split_clause,[],[f23315,f3036,f2348,f23348,f23352,f1603])). 119.69/119.00 tff(f1603,plain,( 119.69/119.00 spl8_234 <=> 0 = sK3), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_234])])). 119.69/119.00 tff(f23352,plain,( 119.69/119.00 spl8_1496 <=> ! [X13 : uni] : ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,t2tb1(sK2)))),sK0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1496])])). 119.69/119.00 tff(f23348,plain,( 119.69/119.00 spl8_1494 <=> ! [X5 : ty,X7 : uni,X4 : $int,X6 : uni] : (tb2t(some(int,t2tb2(X4))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | nth1(X5,$sum(X4,-1),X6) = nth1(X5,X4,cons(X5,X7,X6)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1494])])). 119.69/119.00 tff(f3036,plain,( 119.69/119.00 spl8_408 <=> ! [X9 : uni,X5 : uni,X7 : ty,X8 : uni,X4 : uni,X6 : $int] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_408])])). 119.69/119.00 tff(f23315,plain,( 119.69/119.00 ( ! [X12:uni,X10:ty,X13:uni,X11:uni,X9:$int] : (tb2t(some(int,t2tb2(X9))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | nth1(X10,$sum(X9,-1),X11) = nth1(X10,X9,cons(X10,X12,X11)) | ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,t2tb1(sK2)))),sK0) | 0 = sK3) ) | (~spl8_330 | ~spl8_408)), 119.69/119.00 inference(superposition,[],[f3037,f3737])). 119.69/119.00 tff(f3037,plain,( 119.69/119.00 ( ! [X6:$int,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0)) ) | ~spl8_408), 119.69/119.00 inference(avatar_component_clause,[],[f3036])). 119.69/119.00 tff(f23350,plain,( 119.69/119.00 spl8_234 | spl8_1492 | spl8_1494 | ~spl8_330 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f23314,f3278,f2348,f23348,f23345,f1603])). 119.69/119.00 tff(f23345,plain,( 119.69/119.00 spl8_1492 <=> ! [X8 : uni] : ~zero_at1(tb2t1(cons(int,X8,cons_proj_21(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1492])])). 119.69/119.00 tff(f3278,plain,( 119.69/119.00 spl8_426 <=> ! [X9 : uni,X5 : uni,X7 : ty,X8 : uni,X4 : uni,X6 : $int] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_426])])). 119.69/119.00 tff(f23314,plain,( 119.69/119.00 ( ! [X6:uni,X4:$int,X8:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(X4))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | nth1(X5,$sum(X4,-1),X6) = nth1(X5,X4,cons(X5,X7,X6)) | ~zero_at1(tb2t1(cons(int,X8,cons_proj_21(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_330 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f3737])). 119.69/119.00 tff(f3279,plain,( 119.69/119.00 ( ! [X6:$int,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_426), 119.69/119.00 inference(avatar_component_clause,[],[f3278])). 119.69/119.00 tff(f23301,plain,( 119.69/119.00 ~spl8_619 | ~spl8_602 | ~spl8_1096), 119.69/119.00 inference(avatar_split_clause,[],[f23291,f10986,f5290,f23299])). 119.69/119.00 tff(f23299,plain,( 119.69/119.00 spl8_619 <=> ~zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_619])])). 119.69/119.00 tff(f5290,plain,( 119.69/119.00 spl8_602 <=> $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_602])])). 119.69/119.00 tff(f10986,plain,( 119.69/119.00 spl8_1096 <=> ! [X0 : $int] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),X0) | ~zero_at1(sK2,X0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1096])])). 119.69/119.00 tff(f23291,plain,( 119.69/119.00 ~zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_602 | ~spl8_1096)), 119.69/119.00 inference(resolution,[],[f10987,f5291])). 119.69/119.00 tff(f5291,plain,( 119.69/119.00 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_602), 119.69/119.00 inference(avatar_component_clause,[],[f5290])). 119.69/119.00 tff(f10987,plain,( 119.69/119.00 ( ! [X0:$int] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1096), 119.69/119.00 inference(avatar_component_clause,[],[f10986])). 119.69/119.00 tff(f23219,plain,( 119.69/119.00 ~spl8_1491 | spl8_697 | ~spl8_898), 119.69/119.00 inference(avatar_split_clause,[],[f23213,f8227,f5709,f23217])). 119.69/119.00 tff(f23217,plain,( 119.69/119.00 spl8_1491 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),-1)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1491])])). 119.69/119.00 tff(f5709,plain,( 119.69/119.00 spl8_697 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_697])])). 119.69/119.00 tff(f23213,plain,( 119.69/119.00 ~$less($sum(sK3,$uminus($sum(sK0,1))),-1) | (~spl8_697 | ~spl8_898)), 119.69/119.00 inference(evaluation,[],[f23212])). 119.69/119.00 tff(f23212,plain,( 119.69/119.00 ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(0,-1)) | (~spl8_697 | ~spl8_898)), 119.69/119.00 inference(superposition,[],[f5710,f8228])). 119.69/119.00 tff(f5710,plain,( 119.69/119.00 ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~spl8_697), 119.69/119.00 inference(avatar_component_clause,[],[f5709])). 119.69/119.00 tff(f23209,plain,( 119.69/119.00 ~spl8_1489 | spl8_557), 119.69/119.00 inference(avatar_split_clause,[],[f23205,f5026,f23207])). 119.69/119.00 tff(f23207,plain,( 119.69/119.00 spl8_1489 <=> ~zero_at1(sK2,$sum(length1(int,t2tb1(sK2)),-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1489])])). 119.69/119.00 tff(f5026,plain,( 119.69/119.00 spl8_557 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_557])])). 119.69/119.00 tff(f23205,plain,( 119.69/119.00 ~zero_at1(sK2,$sum(length1(int,t2tb1(sK2)),-1)) | ~spl8_557), 119.69/119.00 inference(trivial_inequality_removal,[],[f23204])). 119.69/119.00 tff(f23204,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,$sum(length1(int,t2tb1(sK2)),-1)) | ~spl8_557), 119.69/119.00 inference(superposition,[],[f5027,f268])). 119.69/119.00 tff(f5027,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),t2tb1(sK2))) | ~spl8_557), 119.69/119.00 inference(avatar_component_clause,[],[f5026])). 119.69/119.00 tff(f23197,plain,( 119.69/119.00 spl8_1486 | ~spl8_330 | ~spl8_596 | ~spl8_904), 119.69/119.00 inference(avatar_split_clause,[],[f23033,f8282,f5278,f2348,f23195])). 119.69/119.00 tff(f23195,plain,( 119.69/119.00 spl8_1486 <=> nth1(int,0,t2tb1(sK2)) = nth1(int,-1,cons_proj_21(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1486])])). 119.69/119.00 tff(f23033,plain,( 119.69/119.00 nth1(int,0,t2tb1(sK2)) = nth1(int,-1,cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_596 | ~spl8_904)), 119.69/119.00 inference(superposition,[],[f11689,f2349])). 119.69/119.00 tff(f23024,plain,( 119.69/119.00 ~spl8_1479 | spl8_1484 | spl8_511), 119.69/119.00 inference(avatar_split_clause,[],[f23008,f4494,f23022,f23011])). 119.69/119.00 tff(f23011,plain,( 119.69/119.00 spl8_1479 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1479])])). 119.69/119.00 tff(f23022,plain,( 119.69/119.00 spl8_1484 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1484])])). 119.69/119.00 tff(f4494,plain,( 119.69/119.00 spl8_511 <=> ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_511])])). 119.69/119.00 tff(f23008,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_511), 119.69/119.00 inference(resolution,[],[f4495,f267])). 119.69/119.00 tff(f4495,plain,( 119.69/119.00 ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | ~spl8_511), 119.69/119.00 inference(avatar_component_clause,[],[f4494])). 119.69/119.00 tff(f23020,plain,( 119.69/119.00 ~spl8_1479 | ~spl8_1483 | spl8_511), 119.69/119.00 inference(avatar_split_clause,[],[f23007,f4494,f23018,f23011])). 119.69/119.00 tff(f23018,plain,( 119.69/119.00 spl8_1483 <=> ~$less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1483])])). 119.69/119.00 tff(f23007,plain,( 119.69/119.00 ~$less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_511), 119.69/119.00 inference(resolution,[],[f4495,f266])). 119.69/119.00 tff(f23016,plain,( 119.69/119.00 ~spl8_1479 | spl8_1480 | spl8_511), 119.69/119.00 inference(avatar_split_clause,[],[f23006,f4494,f23014,f23011])). 119.69/119.00 tff(f23014,plain,( 119.69/119.00 spl8_1480 <=> $less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1480])])). 119.69/119.00 tff(f23006,plain,( 119.69/119.00 $less(sK7(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2))) | ~spl8_511), 119.69/119.00 inference(resolution,[],[f4495,f265])). 119.69/119.00 tff(f22947,plain,( 119.69/119.00 spl8_1416 | spl8_1476 | ~spl8_1414), 119.69/119.00 inference(avatar_split_clause,[],[f22940,f22356,f22945,f22942])). 119.69/119.00 tff(f22942,plain,( 119.69/119.00 spl8_1416 <=> $less(sK7(sK2,sK0),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1416])])). 119.69/119.00 tff(f22945,plain,( 119.69/119.00 spl8_1476 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK0),t2tb1(X0))) | ~zero_at1(X0,sK0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1476])])). 119.69/119.00 tff(f22356,plain,( 119.69/119.00 spl8_1414 <=> $less(sK7(sK2,sK0),sK0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1414])])). 119.69/119.00 tff(f22940,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK0),t2tb1(X0))) | $less(sK7(sK2,sK0),0) | ~zero_at1(X0,sK0)) ) | ~spl8_1414), 119.69/119.00 inference(resolution,[],[f22357,f269])). 119.69/119.00 tff(f22357,plain,( 119.69/119.00 $less(sK7(sK2,sK0),sK0) | ~spl8_1414), 119.69/119.00 inference(avatar_component_clause,[],[f22356])). 119.69/119.00 tff(f22935,plain,( 119.69/119.00 spl8_1472 | spl8_1474 | ~spl8_240 | spl8_279 | ~spl8_898), 119.69/119.00 inference(avatar_split_clause,[],[f22895,f8227,f1810,f1654,f22933,f22930])). 119.69/119.00 tff(f22930,plain,( 119.69/119.00 spl8_1472 <=> ! [X119 : list_int] : (~zero_at1(X119,sK7(sK2,-1)) | ~zero_at1(X119,sK0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1472])])). 119.69/119.00 tff(f22895,plain,( 119.69/119.00 ( ! [X118:uni,X116:ty,X119:list_int,X117:uni] : (nth1(X116,$sum(sK7(sK2,-1),-1),X117) = nth1(X116,sK7(sK2,-1),cons(X116,X118,X117)) | ~zero_at1(X119,sK7(sK2,-1)) | ~zero_at1(X119,sK0)) ) | (~spl8_240 | ~spl8_279 | ~spl8_898)), 119.69/119.00 inference(resolution,[],[f1890,f14232])). 119.69/119.00 tff(f22924,plain,( 119.69/119.00 ~spl8_1471 | spl8_662 | ~spl8_240 | ~spl8_706), 119.69/119.00 inference(avatar_split_clause,[],[f22889,f5880,f1654,f5568,f22922])). 119.69/119.00 tff(f22922,plain,( 119.69/119.00 spl8_1471 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1471])])). 119.69/119.00 tff(f5568,plain,( 119.69/119.00 spl8_662 <=> ! [X7 : uni,X8 : uni,X6 : ty] : nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_662])])). 119.69/119.00 tff(f5880,plain,( 119.69/119.00 spl8_706 <=> ! [X0 : $int] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_706])])). 119.69/119.00 tff(f22889,plain,( 119.69/119.00 ( ! [X90:uni,X88:ty,X89:uni] : (nth1(X88,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X89) = nth1(X88,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X88,X90,X89)) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK0)) ) | (~spl8_240 | ~spl8_706)), 119.69/119.00 inference(resolution,[],[f1890,f5881])). 119.69/119.00 tff(f5881,plain,( 119.69/119.00 ( ! [X0:$int] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0)) ) | ~spl8_706), 119.69/119.00 inference(avatar_component_clause,[],[f5880])). 119.69/119.00 tff(f22920,plain,( 119.69/119.00 spl8_1468 | spl8_662 | spl8_67 | ~spl8_240), 119.69/119.00 inference(avatar_split_clause,[],[f22888,f1654,f767,f5568,f22918])). 119.69/119.00 tff(f22918,plain,( 119.69/119.00 spl8_1468 <=> ! [X87 : list_int] : (~zero_at1(X87,sK0) | ~zero_at1(X87,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1468])])). 119.69/119.00 tff(f767,plain,( 119.69/119.00 spl8_67 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_67])])). 119.69/119.00 tff(f22888,plain,( 119.69/119.00 ( ! [X87:list_int,X85:uni,X86:uni,X84:ty] : (nth1(X84,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X85) = nth1(X84,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X84,X86,X85)) | ~zero_at1(X87,sK0) | ~zero_at1(X87,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) ) | (~spl8_67 | ~spl8_240)), 119.69/119.00 inference(resolution,[],[f1890,f5872])). 119.69/119.00 tff(f5872,plain,( 119.69/119.00 ( ! [X2:$int,X1:list_int] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) ) | ~spl8_67), 119.69/119.00 inference(trivial_inequality_removal,[],[f5871])). 119.69/119.00 tff(f5871,plain,( 119.69/119.00 ( ! [X2:$int,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) ) | ~spl8_67), 119.69/119.00 inference(superposition,[],[f1092,f268])). 119.69/119.00 tff(f1092,plain,( 119.69/119.00 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_67), 119.69/119.00 inference(resolution,[],[f768,f269])). 119.69/119.00 tff(f768,plain,( 119.69/119.00 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_67), 119.69/119.00 inference(avatar_component_clause,[],[f767])). 119.69/119.00 tff(f22916,plain,( 119.69/119.00 spl8_1464 | spl8_1466 | spl8_185 | ~spl8_240), 119.69/119.00 inference(avatar_split_clause,[],[f22886,f1654,f1200,f22914,f22911])). 119.69/119.00 tff(f22911,plain,( 119.69/119.00 spl8_1464 <=> ! [X77 : list_int] : (~zero_at1(X77,sK0) | ~zero_at1(X77,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1464])])). 119.69/119.00 tff(f22914,plain,( 119.69/119.00 spl8_1466 <=> ! [X75 : uni,X74 : ty,X76 : uni] : nth1(X74,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X75) = nth1(X74,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),cons(X74,X76,X75))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1466])])). 119.69/119.00 tff(f1200,plain,( 119.69/119.00 spl8_185 <=> ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_185])])). 119.69/119.00 tff(f22886,plain,( 119.69/119.00 ( ! [X76:uni,X74:ty,X77:list_int,X75:uni] : (nth1(X74,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X75) = nth1(X74,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),cons(X74,X76,X75)) | ~zero_at1(X77,sK0) | ~zero_at1(X77,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) ) | (~spl8_185 | ~spl8_240)), 119.69/119.00 inference(resolution,[],[f1890,f3123])). 119.69/119.00 tff(f3123,plain,( 119.69/119.00 ( ! [X2:$int,X1:list_int] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) ) | ~spl8_185), 119.69/119.00 inference(trivial_inequality_removal,[],[f3122])). 119.69/119.00 tff(f3122,plain,( 119.69/119.00 ( ! [X2:$int,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) ) | ~spl8_185), 119.69/119.00 inference(superposition,[],[f1515,f268])). 119.69/119.00 tff(f1515,plain,( 119.69/119.00 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),t2tb1(X2))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_185), 119.69/119.00 inference(resolution,[],[f1201,f269])). 119.69/119.00 tff(f1201,plain,( 119.69/119.00 ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),0) | ~spl8_185), 119.69/119.00 inference(avatar_component_clause,[],[f1200])). 119.69/119.00 tff(f22905,plain,( 119.69/119.00 spl8_1462 | spl8_1050 | spl8_213 | ~spl8_240), 119.69/119.00 inference(avatar_split_clause,[],[f22899,f1654,f1359,f10285,f22903])). 119.69/119.00 tff(f22903,plain,( 119.69/119.00 spl8_1462 <=> ! [X18 : list_int] : ~zero_at1(X18,sK0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1462])])). 119.69/119.00 tff(f10285,plain,( 119.69/119.00 spl8_1050 <=> ! [X3 : ty,X5 : uni,X4 : uni] : nth1(X3,$sum(sK0,-1),X4) = nth1(X3,sK0,cons(X3,X5,X4))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1050])])). 119.69/119.00 tff(f22899,plain,( 119.69/119.00 ( ! [X17:uni,X15:ty,X18:list_int,X16:uni] : (nth1(X15,$sum(sK0,-1),X16) = nth1(X15,sK0,cons(X15,X17,X16)) | ~zero_at1(X18,sK0)) ) | (~spl8_213 | ~spl8_240)), 119.69/119.00 inference(duplicate_literal_removal,[],[f22874])). 119.69/119.00 tff(f22874,plain,( 119.69/119.00 ( ! [X17:uni,X15:ty,X18:list_int,X16:uni] : (nth1(X15,$sum(sK0,-1),X16) = nth1(X15,sK0,cons(X15,X17,X16)) | ~zero_at1(X18,sK0) | ~zero_at1(X18,sK0)) ) | (~spl8_213 | ~spl8_240)), 119.69/119.00 inference(resolution,[],[f1890,f3938])). 119.69/119.00 tff(f3938,plain,( 119.69/119.00 ( ! [X0:list_int,X1:$int] : (~$less(sK0,X1) | ~zero_at1(X0,X1) | ~zero_at1(X0,sK0)) ) | ~spl8_213), 119.69/119.00 inference(trivial_inequality_removal,[],[f3937])). 119.69/119.00 tff(f3937,plain,( 119.69/119.00 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK0,X1) | ~zero_at1(X0,X1) | ~zero_at1(X0,sK0)) ) | ~spl8_213), 119.69/119.00 inference(superposition,[],[f1522,f268])). 119.69/119.00 tff(f22867,plain,( 119.69/119.00 spl8_150 | spl8_1460 | ~spl8_12 | ~spl8_318 | spl8_675), 119.69/119.00 inference(avatar_split_clause,[],[f22863,f5624,f2261,f751,f22865,f2271])). 119.69/119.00 tff(f22863,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less(sK6(sK2),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_318 | ~spl8_675)), 119.69/119.00 inference(forward_demodulation,[],[f22862,f273])). 119.69/119.00 tff(f22862,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (~$less(sK6(sK2),$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_318 | ~spl8_675)), 119.69/119.00 inference(forward_demodulation,[],[f22851,f244])). 119.69/119.00 tff(f22851,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(sK2),-1),X128)) | ~$less(sK6(sK2),length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK6(sK2),0)) ) | (~spl8_12 | ~spl8_318 | ~spl8_675)), 119.69/119.00 inference(superposition,[],[f2241,f9166])). 119.69/119.00 tff(f9166,plain,( 119.69/119.00 ( ! [X14:uni,X12:ty,X13:uni] : (nth1(X12,$sum(sK6(sK2),-1),X13) = nth1(X12,sK6(sK2),cons(X12,X14,X13))) ) | (~spl8_318 | ~spl8_675)), 119.69/119.00 inference(resolution,[],[f5638,f2262])). 119.69/119.00 tff(f22861,plain,( 119.69/119.00 spl8_1458 | ~spl8_318 | ~spl8_328 | ~spl8_330 | spl8_675), 119.69/119.00 inference(avatar_split_clause,[],[f22857,f5624,f2348,f2293,f2261,f22859])). 119.69/119.00 tff(f22859,plain,( 119.69/119.00 spl8_1458 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(sK2),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1458])])). 119.69/119.00 tff(f22857,plain,( 119.69/119.00 some(int,t2tb2(0)) = nth1(int,$sum(sK6(sK2),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_318 | ~spl8_328 | ~spl8_330 | ~spl8_675)), 119.69/119.00 inference(forward_demodulation,[],[f22839,f2294])). 119.69/119.00 tff(f22839,plain,( 119.69/119.00 nth1(int,sK6(sK2),t2tb1(sK2)) = nth1(int,$sum(sK6(sK2),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_318 | ~spl8_330 | ~spl8_675)), 119.69/119.00 inference(superposition,[],[f9166,f2349])). 119.69/119.00 tff(f22670,plain,( 119.69/119.00 spl8_1456 | ~spl8_1453 | spl8_473), 119.69/119.00 inference(avatar_split_clause,[],[f22666,f4087,f22657,f22668])). 119.69/119.00 tff(f22668,plain,( 119.69/119.00 spl8_1456 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1456])])). 119.69/119.00 tff(f22657,plain,( 119.69/119.00 spl8_1453 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1453])])). 119.69/119.00 tff(f4087,plain,( 119.69/119.00 spl8_473 <=> ~zero_at1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_473])])). 119.69/119.00 tff(f22666,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | ~spl8_473), 119.69/119.00 inference(forward_demodulation,[],[f22665,f234])). 119.69/119.00 tff(f22665,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) | ~spl8_473), 119.69/119.00 inference(forward_demodulation,[],[f22651,f234])). 119.69/119.00 tff(f22651,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),t2tb1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) | ~spl8_473), 119.69/119.00 inference(resolution,[],[f4088,f267])). 119.69/119.00 tff(f4088,plain,( 119.69/119.00 ~zero_at1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3) | ~spl8_473), 119.69/119.00 inference(avatar_component_clause,[],[f4087])). 119.69/119.00 tff(f22664,plain,( 119.69/119.00 ~spl8_1455 | ~spl8_1453 | spl8_473), 119.69/119.00 inference(avatar_split_clause,[],[f22660,f4087,f22657,f22662])). 119.69/119.00 tff(f22662,plain,( 119.69/119.00 spl8_1455 <=> ~$less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1455])])). 119.69/119.00 tff(f22660,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),0) | ~spl8_473), 119.69/119.00 inference(forward_demodulation,[],[f22650,f234])). 119.69/119.00 tff(f22650,plain,( 119.69/119.00 ~$less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) | ~spl8_473), 119.69/119.00 inference(resolution,[],[f4088,f266])). 119.69/119.00 tff(f22659,plain,( 119.69/119.00 spl8_1450 | ~spl8_1453 | spl8_473), 119.69/119.00 inference(avatar_split_clause,[],[f22652,f4087,f22657,f22654])). 119.69/119.00 tff(f22654,plain,( 119.69/119.00 spl8_1450 <=> $less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),sK3)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1450])])). 119.69/119.00 tff(f22652,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),sK3) | ~spl8_473), 119.69/119.00 inference(forward_demodulation,[],[f22649,f234])). 119.69/119.00 tff(f22649,plain,( 119.69/119.00 $less(sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3),sK3) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) | ~spl8_473), 119.69/119.00 inference(resolution,[],[f4088,f265])). 119.69/119.00 tff(f22565,plain,( 119.69/119.00 ~spl8_1447 | spl8_1448 | ~spl8_934), 119.69/119.00 inference(avatar_split_clause,[],[f22541,f8727,f22563,f22560])). 119.69/119.00 tff(f22560,plain,( 119.69/119.00 spl8_1447 <=> ~sort1(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1447])])). 119.69/119.00 tff(f22563,plain,( 119.69/119.00 spl8_1448 <=> cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = some_proj_11(int,some(int,t2tb2(sK1)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1448])])). 119.69/119.00 tff(f8727,plain,( 119.69/119.00 spl8_934 <=> some(int,t2tb2(sK1)) = some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_934])])). 119.69/119.00 tff(f22541,plain,( 119.69/119.00 cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = some_proj_11(int,some(int,t2tb2(sK1))) | ~sort1(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_934), 119.69/119.00 inference(superposition,[],[f261,f8728])). 119.69/119.00 tff(f8728,plain,( 119.69/119.00 some(int,t2tb2(sK1)) = some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_934), 119.69/119.00 inference(avatar_component_clause,[],[f8727])). 119.69/119.00 tff(f261,plain,( 119.69/119.00 ( ! [X0:ty,X1:uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1)) )), 119.69/119.00 inference(cnf_transformation,[],[f99])). 119.69/119.00 tff(f99,plain,( 119.69/119.00 ! [X0 : ty,X1 : uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1))), 119.69/119.00 inference(ennf_transformation,[],[f75])). 119.69/119.00 tff(f75,plain,( 119.69/119.00 ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => some_proj_11(X0,some(X0,X1)) = X1)), 119.69/119.00 inference(rectify,[],[f31])). 119.69/119.00 tff(f31,axiom,( 119.69/119.00 ! [X1 : ty,X2 : uni] : (sort1(X1,X2) => some_proj_11(X1,some(X1,X2)) = X2)), 119.69/119.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_proj_1_def1)). 119.69/119.00 tff(f22558,plain,( 119.69/119.00 spl8_1444 | spl8_1440 | spl8_41 | ~spl8_154 | ~spl8_934), 119.69/119.00 inference(avatar_split_clause,[],[f22539,f8727,f1101,f522,f22548,f22556])). 119.69/119.00 tff(f22556,plain,( 119.69/119.00 spl8_1444 <=> ! [X23 : uni] : (cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23)),X23) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23)),0),cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1444])])). 119.69/119.00 tff(f22548,plain,( 119.69/119.00 spl8_1440 <=> ! [X9 : ty,X11 : uni,X7 : $int,X10 : uni] : (tb2t(some(int,t2tb2(sK1))) != tb2t(some(int,t2tb2(X7))) | nth1(X9,$sum(X7,-1),X10) = nth1(X9,X7,cons(X9,X11,X10)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1440])])). 119.69/119.00 tff(f22539,plain,( 119.69/119.00 ( ! [X26:uni,X24:ty,X23:uni,X25:uni,X22:$int] : (tb2t(some(int,t2tb2(sK1))) != tb2t(some(int,t2tb2(X22))) | cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23)),X23) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23)),0),cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X23))) | nth1(X24,$sum(X22,-1),X25) = nth1(X24,X22,cons(X24,X26,X25))) ) | (~spl8_41 | ~spl8_154 | ~spl8_934)), 119.69/119.00 inference(superposition,[],[f3523,f8728])). 119.69/119.00 tff(f3523,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:$int,X5:uni,X3:ty,X1:uni] : (tb2t(some(int,X1)) != tb2t(some(int,t2tb2(X0))) | cons(int,X1,X2) = cons(int,cons_proj_11(int,cons(int,X1,X2)),X2) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X1,X2)),0),cons(int,X1,X2))) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | (~spl8_41 | ~spl8_154)), 119.69/119.00 inference(superposition,[],[f2069,f287])). 119.69/119.00 tff(f22554,plain,( 119.69/119.00 spl8_1442 | spl8_1440 | spl8_41 | ~spl8_154 | ~spl8_934), 119.69/119.00 inference(avatar_split_clause,[],[f22537,f8727,f1101,f522,f22548,f22552])). 119.69/119.00 tff(f22552,plain,( 119.69/119.00 spl8_1442 <=> ! [X13 : uni] : (cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13)),X13) | ~$less(sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13)),0),0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1442])])). 119.69/119.00 tff(f22537,plain,( 119.69/119.00 ( ! [X14:ty,X12:$int,X15:uni,X13:uni,X16:uni] : (tb2t(some(int,t2tb2(sK1))) != tb2t(some(int,t2tb2(X12))) | cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13)),X13) | ~$less(sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X13)),0),0) | nth1(X14,$sum(X12,-1),X15) = nth1(X14,X12,cons(X14,X16,X15))) ) | (~spl8_41 | ~spl8_154 | ~spl8_934)), 119.69/119.00 inference(superposition,[],[f3203,f8728])). 119.69/119.00 tff(f3203,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:$int,X5:uni,X3:ty,X1:uni] : (tb2t(some(int,X1)) != tb2t(some(int,t2tb2(X0))) | cons(int,X1,X2) = cons(int,cons_proj_11(int,cons(int,X1,X2)),X2) | ~$less(sK7(tb2t1(cons(int,X1,X2)),0),0) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | (~spl8_41 | ~spl8_154)), 119.69/119.00 inference(superposition,[],[f2900,f287])). 119.69/119.00 tff(f22550,plain,( 119.69/119.00 spl8_1438 | spl8_1440 | spl8_41 | ~spl8_154 | ~spl8_934), 119.69/119.00 inference(avatar_split_clause,[],[f22536,f8727,f1101,f522,f22548,f22545])). 119.69/119.00 tff(f22545,plain,( 119.69/119.00 spl8_1438 <=> ! [X8 : uni] : (cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8)),X8) | $less(sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8)),0),0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1438])])). 119.69/119.00 tff(f22536,plain,( 119.69/119.00 ( ! [X10:uni,X8:uni,X7:$int,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(sK1))) != tb2t(some(int,t2tb2(X7))) | cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8)),X8) | $less(sK7(tb2t1(cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),X8)),0),0) | nth1(X9,$sum(X7,-1),X10) = nth1(X9,X7,cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_934)), 119.69/119.00 inference(superposition,[],[f3200,f8728])). 119.69/119.00 tff(f3200,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:$int,X5:uni,X3:ty,X1:uni] : (tb2t(some(int,X1)) != tb2t(some(int,t2tb2(X0))) | cons(int,X1,X2) = cons(int,cons_proj_11(int,cons(int,X1,X2)),X2) | $less(sK7(tb2t1(cons(int,X1,X2)),0),0) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | (~spl8_41 | ~spl8_154)), 119.69/119.00 inference(superposition,[],[f1917,f287])). 119.69/119.00 tff(f22495,plain,( 119.69/119.00 spl8_1434 | spl8_1436 | ~spl8_12 | spl8_145 | ~spl8_226), 119.69/119.00 inference(avatar_split_clause,[],[f22488,f1490,f5433,f751,f22493,f22490])). 119.69/119.00 tff(f22490,plain,( 119.69/119.00 spl8_1434 <=> $less(sK1,0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1434])])). 119.69/119.00 tff(f22493,plain,( 119.69/119.00 spl8_1436 <=> ! [X128 : uni,X127 : uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1,-1),X128)) | ~$less(sK1,$sum(1,length1(int,X128))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1436])])). 119.69/119.00 tff(f5433,plain,( 119.69/119.00 spl8_145 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_145])])). 119.69/119.00 tff(f1490,plain,( 119.69/119.00 spl8_226 <=> zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_226])])). 119.69/119.00 tff(f22488,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),X128) | ~$less(sK1,$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1,-1),X128)) | $less(sK1,0)) ) | (~spl8_12 | ~spl8_145 | ~spl8_226)), 119.69/119.00 inference(forward_demodulation,[],[f22487,f273])). 119.69/119.00 tff(f22487,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (~$less(sK1,$sum(1,length1(int,X128))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1,-1),X128)) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK1,0)) ) | (~spl8_12 | ~spl8_145 | ~spl8_226)), 119.69/119.00 inference(forward_demodulation,[],[f22477,f244])). 119.69/119.00 tff(f22477,plain,( 119.69/119.00 ( ! [X127:uni,X128:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK1,-1),X128)) | ~$less(sK1,length1(int,cons(int,X127,X128))) | cons(int,X127,X128) = cons(int,cons_proj_11(int,cons(int,X127,X128)),cons_proj_21(int,cons(int,X127,X128))) | $less(sK1,0)) ) | (~spl8_12 | ~spl8_145 | ~spl8_226)), 119.69/119.00 inference(superposition,[],[f2241,f5519])). 119.69/119.00 tff(f5519,plain,( 119.69/119.00 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK1,-1),X1) = nth1(X0,sK1,cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_226)), 119.69/119.00 inference(condensation,[],[f5515])). 119.69/119.00 tff(f5515,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,$sum(sK1,-1),X1) = nth1(X0,sK1,cons(X0,X2,X1)) | nth1(X3,$sum(sK1,-1),X4) = nth1(X3,sK1,cons(X3,X5,X4))) ) | (~spl8_145 | ~spl8_226)), 119.69/119.00 inference(resolution,[],[f5453,f2188])). 119.69/119.00 tff(f2188,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_226), 119.69/119.00 inference(superposition,[],[f1491,f287])). 119.69/119.00 tff(f1491,plain,( 119.69/119.00 zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | ~spl8_226), 119.69/119.00 inference(avatar_component_clause,[],[f1490])). 119.69/119.00 tff(f5453,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_145), 119.69/119.00 inference(superposition,[],[f5434,f287])). 119.69/119.00 tff(f5434,plain,( 119.69/119.00 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_145), 119.69/119.00 inference(avatar_component_clause,[],[f5433])). 119.69/119.00 tff(f22486,plain,( 119.69/119.00 spl8_1432 | spl8_145 | ~spl8_226 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f22466,f2348,f1490,f5433,f22484])). 119.69/119.00 tff(f22484,plain,( 119.69/119.00 spl8_1432 <=> nth1(int,sK1,t2tb1(sK2)) = nth1(int,$sum(sK1,-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1432])])). 119.69/119.00 tff(f22466,plain,( 119.69/119.00 nth1(int,sK1,t2tb1(sK2)) = nth1(int,$sum(sK1,-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_145 | ~spl8_226 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f5519,f2349])). 119.69/119.00 tff(f22453,plain,( 119.69/119.00 ~spl8_1431 | spl8_439), 119.69/119.00 inference(avatar_split_clause,[],[f22449,f3692,f22451])). 119.69/119.00 tff(f22451,plain,( 119.69/119.00 spl8_1431 <=> ~zero_at1(sK2,$sum(sK0,-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1431])])). 119.69/119.00 tff(f3692,plain,( 119.69/119.00 spl8_439 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_439])])). 119.69/119.00 tff(f22449,plain,( 119.69/119.00 ~zero_at1(sK2,$sum(sK0,-1)) | ~spl8_439), 119.69/119.00 inference(trivial_inequality_removal,[],[f22448])). 119.69/119.00 tff(f22448,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,$sum(sK0,-1)) | ~spl8_439), 119.69/119.00 inference(superposition,[],[f3693,f268])). 119.69/119.00 tff(f3693,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),t2tb1(sK2))) | ~spl8_439), 119.69/119.00 inference(avatar_component_clause,[],[f3692])). 119.69/119.00 tff(f22406,plain,( 119.69/119.00 ~spl8_1429 | spl8_635 | ~spl8_898), 119.69/119.00 inference(avatar_split_clause,[],[f22399,f8227,f5378,f22404])). 119.69/119.00 tff(f22404,plain,( 119.69/119.00 spl8_1429 <=> ~$less(sK6(sK2),-1)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1429])])). 119.69/119.00 tff(f5378,plain,( 119.69/119.00 spl8_635 <=> ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_635])])). 119.69/119.00 tff(f22399,plain,( 119.69/119.00 ~$less(sK6(sK2),-1) | (~spl8_635 | ~spl8_898)), 119.69/119.00 inference(evaluation,[],[f22398])). 119.69/119.00 tff(f22398,plain,( 119.69/119.00 ~$less(sK6(sK2),$sum(0,-1)) | (~spl8_635 | ~spl8_898)), 119.69/119.00 inference(superposition,[],[f5379,f8228])). 119.69/119.00 tff(f5379,plain,( 119.69/119.00 ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~spl8_635), 119.69/119.00 inference(avatar_component_clause,[],[f5378])). 119.69/119.00 tff(f22393,plain,( 119.69/119.00 ~spl8_496 | ~spl8_1300), 119.69/119.00 inference(avatar_contradiction_clause,[],[f22386])). 119.69/119.00 tff(f22386,plain,( 119.69/119.00 $false | (~spl8_496 | ~spl8_1300)), 119.69/119.00 inference(resolution,[],[f4184,f14755])). 119.69/119.00 tff(f14755,plain,( 119.69/119.00 ( ! [X3:uni] : (~$less(sK6(tb2t1(cons(int,X3,t2tb1(sK2)))),0)) ) | ~spl8_1300), 119.69/119.00 inference(resolution,[],[f14433,f248])). 119.69/119.00 tff(f248,plain,( 119.69/119.00 ( ! [X0:list_int] : (no_zero1(X0) | ~$less(sK6(X0),0)) )), 119.69/119.00 inference(cnf_transformation,[],[f121])). 119.69/119.00 tff(f4184,plain,( 119.69/119.00 $less(sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),0) | ~spl8_496), 119.69/119.00 inference(avatar_component_clause,[],[f4183])). 119.69/119.00 tff(f4183,plain,( 119.69/119.00 spl8_496 <=> $less(sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_496])])). 119.69/119.00 tff(f22384,plain,( 119.69/119.00 ~spl8_1421 | spl8_1426 | spl8_495), 119.69/119.00 inference(avatar_split_clause,[],[f22369,f4180,f22382,f22371])). 119.69/119.00 tff(f22371,plain,( 119.69/119.00 spl8_1421 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1421])])). 119.69/119.00 tff(f22382,plain,( 119.69/119.00 spl8_1426 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1426])])). 119.69/119.00 tff(f4180,plain,( 119.69/119.00 spl8_495 <=> ~zero_at1(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_495])])). 119.69/119.00 tff(f22369,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),t2tb1(sK2))) | ~spl8_495), 119.69/119.00 inference(resolution,[],[f4181,f267])). 119.69/119.00 tff(f4181,plain,( 119.69/119.00 ~zero_at1(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))) | ~spl8_495), 119.69/119.00 inference(avatar_component_clause,[],[f4180])). 119.69/119.00 tff(f22380,plain,( 119.69/119.00 ~spl8_1421 | ~spl8_1425 | spl8_495), 119.69/119.00 inference(avatar_split_clause,[],[f22368,f4180,f22378,f22371])). 119.69/119.00 tff(f22378,plain,( 119.69/119.00 spl8_1425 <=> ~$less(sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1425])])). 119.69/119.00 tff(f22368,plain,( 119.69/119.00 ~$less(sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),t2tb1(sK2))) | ~spl8_495), 119.69/119.00 inference(resolution,[],[f4181,f266])). 119.69/119.00 tff(f22376,plain,( 119.69/119.00 ~spl8_1421 | spl8_1422 | spl8_495), 119.69/119.00 inference(avatar_split_clause,[],[f22367,f4180,f22374,f22371])). 119.69/119.00 tff(f22374,plain,( 119.69/119.00 spl8_1422 <=> $less(sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1422])])). 119.69/119.00 tff(f22367,plain,( 119.69/119.00 $less(sK7(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))),sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),t2tb1(sK2))) | ~spl8_495), 119.69/119.00 inference(resolution,[],[f4181,f265])). 119.69/119.00 tff(f22366,plain,( 119.69/119.00 ~spl8_1413 | spl8_1418 | spl8_1411), 119.69/119.00 inference(avatar_split_clause,[],[f22351,f22346,f22364,f22353])). 119.69/119.00 tff(f22353,plain,( 119.69/119.00 spl8_1413 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1413])])). 119.69/119.00 tff(f22364,plain,( 119.69/119.00 spl8_1418 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK0),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1418])])). 119.69/119.00 tff(f22346,plain,( 119.69/119.00 spl8_1411 <=> ~zero_at1(sK2,sK0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1411])])). 119.69/119.00 tff(f22351,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK2))) | ~spl8_1411), 119.69/119.00 inference(resolution,[],[f22347,f267])). 119.69/119.00 tff(f22347,plain,( 119.69/119.00 ~zero_at1(sK2,sK0) | ~spl8_1411), 119.69/119.00 inference(avatar_component_clause,[],[f22346])). 119.69/119.00 tff(f22362,plain,( 119.69/119.00 ~spl8_1413 | ~spl8_1417 | spl8_1411), 119.69/119.00 inference(avatar_split_clause,[],[f22350,f22346,f22360,f22353])). 119.69/119.00 tff(f22360,plain,( 119.69/119.00 spl8_1417 <=> ~$less(sK7(sK2,sK0),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1417])])). 119.69/119.00 tff(f22350,plain,( 119.69/119.00 ~$less(sK7(sK2,sK0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK2))) | ~spl8_1411), 119.69/119.00 inference(resolution,[],[f22347,f266])). 119.69/119.00 tff(f22358,plain,( 119.69/119.00 ~spl8_1413 | spl8_1414 | spl8_1411), 119.69/119.00 inference(avatar_split_clause,[],[f22349,f22346,f22356,f22353])). 119.69/119.00 tff(f22349,plain,( 119.69/119.00 $less(sK7(sK2,sK0),sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK2))) | ~spl8_1411), 119.69/119.00 inference(resolution,[],[f22347,f265])). 119.69/119.00 tff(f22348,plain,( 119.69/119.00 ~spl8_1409 | ~spl8_1411 | ~spl8_236 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f22341,f2348,f1606,f22346,f22343])). 119.69/119.00 tff(f1606,plain,( 119.69/119.00 spl8_236 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_236])])). 119.69/119.00 tff(f22341,plain,( 119.69/119.00 ~zero_at1(sK2,sK0) | ~zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)) | (~spl8_236 | ~spl8_330)), 119.69/119.00 inference(forward_demodulation,[],[f22331,f236])). 119.69/119.00 tff(f236,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t1(t2tb1(X0)) = X0) )), 119.69/119.00 inference(cnf_transformation,[],[f58])). 119.69/119.00 tff(f58,plain,( 119.69/119.00 ! [X0 : list_int] : tb2t1(t2tb1(X0)) = X0), 119.69/119.00 inference(rectify,[],[f29])). 119.69/119.00 tff(f29,axiom,( 119.69/119.00 ! [X9 : list_int] : tb2t1(t2tb1(X9)) = X9), 119.69/119.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)). 119.69/119.00 tff(f22331,plain,( 119.69/119.00 ~zero_at1(tb2t1(t2tb1(sK2)),sK0) | ~zero_at1(tb2t1(cons_proj_21(int,t2tb1(sK2))),$sum(sK3,-1)) | (~spl8_236 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f3821,f2349])). 119.69/119.00 tff(f3821,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (~zero_at1(tb2t1(cons(int,X1,X0)),sK0) | ~zero_at1(tb2t1(X0),$sum(sK3,-1))) ) | ~spl8_236), 119.69/119.00 inference(superposition,[],[f2517,f234])). 119.69/119.00 tff(f2517,plain,( 119.69/119.00 ( ! [X0:list_int,X1:uni] : (~zero_at1(tb2t1(cons(int,X1,t2tb1(X0))),sK0) | ~zero_at1(X0,$sum(sK3,-1))) ) | ~spl8_236), 119.69/119.00 inference(trivial_inequality_removal,[],[f2516])). 119.69/119.00 tff(f2516,plain,( 119.69/119.00 ( ! [X0:list_int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X1,t2tb1(X0))),sK0) | ~zero_at1(X0,$sum(sK3,-1))) ) | ~spl8_236), 119.69/119.00 inference(superposition,[],[f1607,f268])). 119.69/119.00 tff(f1607,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK0)) ) | ~spl8_236), 119.69/119.00 inference(avatar_component_clause,[],[f1606])). 119.69/119.00 tff(f22314,plain,( 119.69/119.00 spl8_1406 | spl8_91 | ~spl8_270 | ~spl8_330), 119.69/119.00 inference(avatar_split_clause,[],[f22154,f2348,f1792,f866,f22312])). 119.69/119.00 tff(f22312,plain,( 119.69/119.00 spl8_1406 <=> nth1(int,1,t2tb1(sK2)) = nth1(int,0,cons_proj_21(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1406])])). 119.69/119.00 tff(f1792,plain,( 119.69/119.00 spl8_270 <=> $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_270])])). 119.69/119.00 tff(f22154,plain,( 119.69/119.00 nth1(int,1,t2tb1(sK2)) = nth1(int,0,cons_proj_21(int,t2tb1(sK2))) | (~spl8_91 | ~spl8_270 | ~spl8_330)), 119.69/119.00 inference(superposition,[],[f9772,f2349])). 119.69/119.00 tff(f9772,plain,( 119.69/119.00 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,0,X1) = nth1(X0,1,cons(X0,X2,X1))) ) | (~spl8_91 | ~spl8_270)), 119.69/119.00 inference(condensation,[],[f9771])). 119.69/119.00 tff(f9771,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,0,X1) = nth1(X0,1,cons(X0,X2,X1)) | nth1(X3,0,X4) = nth1(X3,1,cons(X3,X5,X4))) ) | (~spl8_91 | ~spl8_270)), 119.69/119.00 inference(evaluation,[],[f9759])). 119.69/119.00 tff(f9759,plain,( 119.69/119.00 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,$sum(1,-1),X1) = nth1(X0,1,cons(X0,X2,X1)) | nth1(X3,$sum(1,-1),X4) = nth1(X3,1,cons(X3,X5,X4))) ) | (~spl8_91 | ~spl8_270)), 119.69/119.00 inference(resolution,[],[f2217,f5607])). 119.69/119.00 tff(f2217,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),1) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_270), 119.69/119.00 inference(superposition,[],[f1793,f287])). 119.69/119.00 tff(f1793,plain,( 119.69/119.00 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~spl8_270), 119.69/119.00 inference(avatar_component_clause,[],[f1792])). 119.69/119.00 tff(f22146,plain,( 119.69/119.00 spl8_1385), 119.69/119.00 inference(avatar_contradiction_clause,[],[f22145])). 119.69/119.00 tff(f22145,plain,( 119.69/119.00 $false | ~spl8_1385), 119.69/119.00 inference(resolution,[],[f22091,f253])). 119.69/119.00 tff(f253,plain,( 119.69/119.00 ( ! [X0:ty,X1:uni] : (sort1(X0,cons_proj_11(X0,X1))) )), 119.69/119.00 inference(cnf_transformation,[],[f69])). 119.69/119.00 tff(f69,plain,( 119.69/119.00 ! [X0 : ty,X1 : uni] : sort1(X0,cons_proj_11(X0,X1))), 119.69/119.00 inference(rectify,[],[f16])). 119.69/119.00 tff(f16,axiom,( 119.69/119.00 ! [X1 : ty,X4 : uni] : sort1(X1,cons_proj_11(X1,X4))), 119.69/119.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_sort1)). 119.69/119.00 tff(f22091,plain,( 119.69/119.00 ~sort1(int,cons_proj_11(int,t2tb1(sK2))) | ~spl8_1385), 119.69/119.00 inference(avatar_component_clause,[],[f22090])). 119.69/119.00 tff(f22090,plain,( 119.69/119.00 spl8_1385 <=> ~sort1(int,cons_proj_11(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1385])])). 119.69/119.00 tff(f22144,plain,( 119.69/119.00 spl8_768 | spl8_1404 | ~spl8_164 | ~spl8_186), 119.69/119.00 inference(avatar_split_clause,[],[f22115,f2831,f1144,f22142,f7004])). 119.69/119.00 tff(f22142,plain,( 119.69/119.00 spl8_1404 <=> ! [X30 : uni] : ($less(sK7(tb2t1(X30),length1(int,t2tb1(sK5))),0) | cons(int,cons_proj_11(int,X30),cons_proj_21(int,X30)) = X30 | ~zero_at1(sK5,sK7(tb2t1(X30),length1(int,t2tb1(sK5)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1404])])). 119.69/119.00 tff(f1144,plain,( 119.69/119.00 spl8_164 <=> no_zero1(sK5)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_164])])). 119.69/119.00 tff(f22115,plain,( 119.69/119.00 ( ! [X30:uni,X33:uni,X31:ty,X32:uni] : ($less(sK7(tb2t1(X30),length1(int,t2tb1(sK5))),0) | ~zero_at1(sK5,sK7(tb2t1(X30),length1(int,t2tb1(sK5)))) | cons(int,cons_proj_11(int,X30),cons_proj_21(int,X30)) = X30 | nth1(X31,$sum(length1(int,t2tb1(sK5)),-1),X32) = nth1(X31,length1(int,t2tb1(sK5)),cons(X31,X33,X32))) ) | (~spl8_164 | ~spl8_186)), 119.69/119.00 inference(resolution,[],[f4006,f2857])). 119.69/119.00 tff(f2857,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : ($less(sK7(tb2t1(X1),X0),X0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_186), 119.69/119.00 inference(superposition,[],[f2837,f287])). 119.69/119.00 tff(f4006,plain,( 119.69/119.00 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK5))) | $less(X0,0) | ~zero_at1(sK5,X0)) ) | ~spl8_164), 119.69/119.00 inference(trivial_inequality_removal,[],[f4001])). 119.69/119.00 tff(f4001,plain,( 119.69/119.00 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(sK5))) | ~zero_at1(sK5,X0)) ) | ~spl8_164), 119.69/119.00 inference(superposition,[],[f1335,f268])). 119.69/119.00 tff(f1335,plain,( 119.69/119.00 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK5))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(sK5)))) ) | ~spl8_164), 119.69/119.00 inference(resolution,[],[f1145,f250])). 119.69/119.00 tff(f1145,plain,( 119.69/119.00 no_zero1(sK5) | ~spl8_164), 119.69/119.00 inference(avatar_component_clause,[],[f1144])). 119.69/119.00 tff(f22140,plain,( 119.69/119.00 spl8_768 | spl8_1402 | ~spl8_164 | ~spl8_186), 119.69/119.00 inference(avatar_split_clause,[],[f22113,f2831,f1144,f22138,f7004])). 119.69/119.00 tff(f22138,plain,( 119.69/119.00 spl8_1402 <=> ! [X25 : list_int] : ($less(sK7(X25,length1(int,t2tb1(sK5))),0) | cons(int,cons_proj_11(int,t2tb1(X25)),cons_proj_21(int,t2tb1(X25))) = t2tb1(X25) | ~zero_at1(sK5,sK7(X25,length1(int,t2tb1(sK5)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1402])])). 119.69/119.00 tff(f22113,plain,( 119.69/119.00 ( ! [X28:uni,X26:ty,X27:uni,X25:list_int] : ($less(sK7(X25,length1(int,t2tb1(sK5))),0) | ~zero_at1(sK5,sK7(X25,length1(int,t2tb1(sK5)))) | cons(int,cons_proj_11(int,t2tb1(X25)),cons_proj_21(int,t2tb1(X25))) = t2tb1(X25) | nth1(X26,$sum(length1(int,t2tb1(sK5)),-1),X27) = nth1(X26,length1(int,t2tb1(sK5)),cons(X26,X28,X27))) ) | (~spl8_164 | ~spl8_186)), 119.69/119.00 inference(resolution,[],[f4006,f2943])). 119.69/119.00 tff(f2943,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:list_int] : ($less(sK7(X1,X0),X0) | cons(int,cons_proj_11(int,t2tb1(X1)),cons_proj_21(int,t2tb1(X1))) = t2tb1(X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_186), 119.69/119.00 inference(superposition,[],[f2856,f287])). 119.69/119.00 tff(f2856,plain,( 119.69/119.00 ( ! [X0:list_int] : ($less(sK7(X0,0),0) | cons(int,cons_proj_11(int,t2tb1(X0)),cons_proj_21(int,t2tb1(X0))) = t2tb1(X0)) ) | ~spl8_186), 119.69/119.00 inference(superposition,[],[f2837,f236])). 119.69/119.00 tff(f22136,plain,( 119.69/119.00 spl8_768 | ~spl8_1399 | spl8_1400 | ~spl8_164 | ~spl8_204), 119.69/119.00 inference(avatar_split_clause,[],[f22111,f5930,f1144,f22134,f22131,f7004])). 119.69/119.00 tff(f22131,plain,( 119.69/119.00 spl8_1399 <=> ~zero_at1(sK5,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK5))),t2tb1(sK2))),length1(int,t2tb1(sK5))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1399])])). 119.69/119.00 tff(f22134,plain,( 119.69/119.00 spl8_1400 <=> $less(sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK5))),t2tb1(sK2))),length1(int,t2tb1(sK5))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1400])])). 119.69/119.00 tff(f5930,plain,( 119.69/119.00 spl8_204 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_204])])). 119.69/119.00 tff(f22111,plain,( 119.69/119.00 ( ! [X21:uni,X19:ty,X20:uni] : ($less(sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK5))),t2tb1(sK2))),length1(int,t2tb1(sK5))),0) | ~zero_at1(sK5,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK5))),t2tb1(sK2))),length1(int,t2tb1(sK5)))) | nth1(X19,$sum(length1(int,t2tb1(sK5)),-1),X20) = nth1(X19,length1(int,t2tb1(sK5)),cons(X19,X21,X20))) ) | (~spl8_164 | ~spl8_204)), 119.69/119.00 inference(resolution,[],[f4006,f6144])). 119.69/119.00 tff(f6144,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_204), 119.69/119.00 inference(superposition,[],[f5931,f287])). 119.69/119.00 tff(f5931,plain,( 119.69/119.00 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0) | ~spl8_204), 119.69/119.00 inference(avatar_component_clause,[],[f5930])). 119.69/119.00 tff(f22129,plain,( 119.69/119.00 spl8_768 | ~spl8_1395 | spl8_1396 | ~spl8_140 | ~spl8_164), 119.69/119.00 inference(avatar_split_clause,[],[f22110,f1144,f5413,f22127,f22124,f7004])). 119.69/119.00 tff(f22124,plain,( 119.69/119.00 spl8_1395 <=> ~zero_at1(sK5,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),length1(int,t2tb1(sK5))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1395])])). 119.69/119.00 tff(f22127,plain,( 119.69/119.00 spl8_1396 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),length1(int,t2tb1(sK5))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1396])])). 119.69/119.00 tff(f5413,plain,( 119.69/119.00 spl8_140 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_140])])). 119.69/119.00 tff(f22110,plain,( 119.69/119.00 ( ! [X17:uni,X18:uni,X16:ty] : ($less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),length1(int,t2tb1(sK5))),0) | ~zero_at1(sK5,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),length1(int,t2tb1(sK5)))) | nth1(X16,$sum(length1(int,t2tb1(sK5)),-1),X17) = nth1(X16,length1(int,t2tb1(sK5)),cons(X16,X18,X17))) ) | (~spl8_140 | ~spl8_164)), 119.69/119.00 inference(resolution,[],[f4006,f5477])). 119.69/119.00 tff(f5477,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_140), 119.69/119.00 inference(superposition,[],[f5414,f287])). 119.69/119.00 tff(f5414,plain,( 119.69/119.00 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | ~spl8_140), 119.69/119.00 inference(avatar_component_clause,[],[f5413])). 119.69/119.00 tff(f22122,plain,( 119.69/119.00 spl8_768 | ~spl8_1391 | spl8_1392 | ~spl8_164 | ~spl8_186), 119.69/119.00 inference(avatar_split_clause,[],[f22109,f2831,f1144,f22120,f22117,f7004])). 119.69/119.00 tff(f22117,plain,( 119.69/119.00 spl8_1391 <=> ~zero_at1(sK5,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK5))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1391])])). 119.69/119.00 tff(f22120,plain,( 119.69/119.00 spl8_1392 <=> $less(sK7(tb2t1(nil(int)),length1(int,t2tb1(sK5))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1392])])). 119.69/119.00 tff(f22109,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni,X13:ty] : ($less(sK7(tb2t1(nil(int)),length1(int,t2tb1(sK5))),0) | ~zero_at1(sK5,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK5)))) | nth1(X13,$sum(length1(int,t2tb1(sK5)),-1),X14) = nth1(X13,length1(int,t2tb1(sK5)),cons(X13,X15,X14))) ) | (~spl8_164 | ~spl8_186)), 119.69/119.00 inference(resolution,[],[f4006,f2838])). 119.69/119.00 tff(f2838,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(tb2t1(nil(int)),X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_186), 119.69/119.00 inference(superposition,[],[f2832,f287])). 119.69/119.00 tff(f22099,plain,( 119.69/119.00 ~spl8_1389 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22062,f3750,f22097])). 119.69/119.00 tff(f22097,plain,( 119.69/119.00 spl8_1389 <=> none(int) != nth1(int,0,t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1389])])). 119.69/119.00 tff(f3750,plain,( 119.69/119.00 spl8_448 <=> some(int,cons_proj_11(int,t2tb1(sK2))) = nth1(int,0,t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_448])])). 119.69/119.00 tff(f22062,plain,( 119.69/119.00 none(int) != nth1(int,0,t2tb1(sK2)) | ~spl8_448), 119.69/119.00 inference(superposition,[],[f254,f3751])). 119.69/119.00 tff(f3751,plain,( 119.69/119.00 some(int,cons_proj_11(int,t2tb1(sK2))) = nth1(int,0,t2tb1(sK2)) | ~spl8_448), 119.69/119.00 inference(avatar_component_clause,[],[f3750])). 119.69/119.00 tff(f254,plain,( 119.69/119.00 ( ! [X0:ty,X1:uni] : (none(X0) != some(X0,X1)) )), 119.69/119.00 inference(cnf_transformation,[],[f70])). 119.69/119.00 tff(f70,plain,( 119.69/119.00 ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)), 119.69/119.00 inference(rectify,[],[f46])). 119.69/119.00 tff(f46,axiom,( 119.69/119.00 ! [X1 : ty,X13 : uni] : none(X1) != some(X1,X13)), 119.69/119.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',none_Some1)). 119.69/119.00 tff(f22095,plain,( 119.69/119.00 ~spl8_1385 | spl8_1386 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22060,f3750,f22093,f22090])). 119.69/119.00 tff(f22093,plain,( 119.69/119.00 spl8_1386 <=> cons_proj_11(int,t2tb1(sK2)) = some_proj_11(int,nth1(int,0,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1386])])). 119.69/119.00 tff(f22060,plain,( 119.69/119.00 cons_proj_11(int,t2tb1(sK2)) = some_proj_11(int,nth1(int,0,t2tb1(sK2))) | ~sort1(int,cons_proj_11(int,t2tb1(sK2))) | ~spl8_448), 119.69/119.00 inference(superposition,[],[f261,f3751])). 119.69/119.00 tff(f22088,plain,( 119.69/119.00 spl8_1382 | spl8_1376 | spl8_41 | ~spl8_154 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22058,f3750,f1101,f522,f22074,f22086])). 119.69/119.00 tff(f22086,plain,( 119.69/119.00 spl8_1382 <=> ! [X23 : uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),X23) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X23)),X23) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X23)),0),cons(int,cons_proj_11(int,t2tb1(sK2)),X23))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1382])])). 119.69/119.00 tff(f22074,plain,( 119.69/119.00 spl8_1376 <=> ! [X9 : ty,X11 : uni,X7 : $int,X10 : uni] : (tb2t(some(int,t2tb2(X7))) != tb2t(nth1(int,0,t2tb1(sK2))) | nth1(X9,$sum(X7,-1),X10) = nth1(X9,X7,cons(X9,X11,X10)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1376])])). 119.69/119.00 tff(f22058,plain,( 119.69/119.00 ( ! [X26:uni,X24:ty,X23:uni,X25:uni,X22:$int] : (tb2t(some(int,t2tb2(X22))) != tb2t(nth1(int,0,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),X23) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X23)),X23) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X23)),0),cons(int,cons_proj_11(int,t2tb1(sK2)),X23))) | nth1(X24,$sum(X22,-1),X25) = nth1(X24,X22,cons(X24,X26,X25))) ) | (~spl8_41 | ~spl8_154 | ~spl8_448)), 119.69/119.00 inference(superposition,[],[f3523,f3751])). 119.69/119.00 tff(f22084,plain,( 119.69/119.00 spl8_1370 | spl8_1380 | ~spl8_104 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22057,f3750,f908,f22082,f22064])). 119.69/119.00 tff(f22064,plain,( 119.69/119.00 spl8_1370 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(tb2t2(cons_proj_11(int,t2tb1(sK2))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,t2tb1(sK2))),cons(X0,X2,X1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1370])])). 119.69/119.00 tff(f22082,plain,( 119.69/119.00 spl8_1380 <=> ! [X17 : uni] : (tb2t(nth1(int,sK3,X17)) != tb2t(nth1(int,0,t2tb1(sK2))) | ~zero_at1(tb2t1(X17),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1380])])). 119.69/119.00 tff(f908,plain,( 119.69/119.00 spl8_104 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_104])])). 119.69/119.00 tff(f22057,plain,( 119.69/119.00 ( ! [X19:uni,X17:uni,X20:uni,X18:ty] : (tb2t(nth1(int,sK3,X17)) != tb2t(nth1(int,0,t2tb1(sK2))) | ~zero_at1(tb2t1(X17),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X18,$sum(tb2t2(cons_proj_11(int,t2tb1(sK2))),-1),X19) = nth1(X18,tb2t2(cons_proj_11(int,t2tb1(sK2))),cons(X18,X20,X19))) ) | (~spl8_104 | ~spl8_448)), 119.69/119.00 inference(superposition,[],[f3269,f3751])). 119.69/119.00 tff(f3269,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:uni,X3:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(nth1(int,sK3,X1)) | ~zero_at1(tb2t1(X1),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X2,$sum(tb2t2(X0),-1),X3) = nth1(X2,tb2t2(X0),cons(X2,X4,X3))) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f1844,f237])). 119.69/119.00 tff(f1844,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,sK3,X1)) | ~zero_at1(tb2t1(X1),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f1107,f287])). 119.69/119.00 tff(f1107,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X0)) | ~zero_at1(tb2t1(X0),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f909,f234])). 119.69/119.00 tff(f909,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_104), 119.69/119.00 inference(avatar_component_clause,[],[f908])). 119.69/119.00 tff(f22080,plain,( 119.69/119.00 spl8_1378 | spl8_1376 | spl8_41 | ~spl8_154 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22056,f3750,f1101,f522,f22074,f22078])). 119.69/119.00 tff(f22078,plain,( 119.69/119.00 spl8_1378 <=> ! [X13 : uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),X13) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X13)),X13) | ~$less(sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X13)),0),0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1378])])). 119.69/119.00 tff(f22056,plain,( 119.69/119.00 ( ! [X14:ty,X12:$int,X15:uni,X13:uni,X16:uni] : (tb2t(some(int,t2tb2(X12))) != tb2t(nth1(int,0,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),X13) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X13)),X13) | ~$less(sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X13)),0),0) | nth1(X14,$sum(X12,-1),X15) = nth1(X14,X12,cons(X14,X16,X15))) ) | (~spl8_41 | ~spl8_154 | ~spl8_448)), 119.69/119.00 inference(superposition,[],[f3203,f3751])). 119.69/119.00 tff(f22076,plain,( 119.69/119.00 spl8_1374 | spl8_1376 | spl8_41 | ~spl8_154 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22055,f3750,f1101,f522,f22074,f22071])). 119.69/119.00 tff(f22071,plain,( 119.69/119.00 spl8_1374 <=> ! [X8 : uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),X8) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X8)),X8) | $less(sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X8)),0),0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1374])])). 119.69/119.00 tff(f22055,plain,( 119.69/119.00 ( ! [X10:uni,X8:uni,X7:$int,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(X7))) != tb2t(nth1(int,0,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),X8) = cons(int,cons_proj_11(int,cons(int,cons_proj_11(int,t2tb1(sK2)),X8)),X8) | $less(sK7(tb2t1(cons(int,cons_proj_11(int,t2tb1(sK2)),X8)),0),0) | nth1(X9,$sum(X7,-1),X10) = nth1(X9,X7,cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_448)), 119.69/119.00 inference(superposition,[],[f3200,f3751])). 119.69/119.00 tff(f22069,plain,( 119.69/119.00 spl8_1370 | ~spl8_1373 | spl8_47 | ~spl8_448), 119.69/119.00 inference(avatar_split_clause,[],[f22050,f3750,f731,f22067,f22064])). 119.69/119.00 tff(f22067,plain,( 119.69/119.00 spl8_1373 <=> tb2t(none(int)) != tb2t(nth1(int,0,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1373])])). 119.69/119.00 tff(f731,plain,( 119.69/119.00 spl8_47 <=> tb2t(none(int)) != tb2t(some(int,t2tb2(0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_47])])). 119.69/119.00 tff(f22050,plain,( 119.69/119.00 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(none(int)) != tb2t(nth1(int,0,t2tb1(sK2))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,t2tb1(sK2))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,t2tb1(sK2))),cons(X0,X2,X1))) ) | (~spl8_47 | ~spl8_448)), 119.69/119.00 inference(superposition,[],[f1854,f3751])). 119.69/119.00 tff(f1854,plain,( 119.69/119.00 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (tb2t(none(int)) != tb2t(some(int,X0)) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_47), 119.69/119.00 inference(superposition,[],[f804,f237])). 119.69/119.00 tff(f804,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(none(int)) != tb2t(some(int,t2tb2(X0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_47), 119.69/119.00 inference(superposition,[],[f732,f287])). 119.69/119.00 tff(f732,plain,( 119.69/119.00 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | ~spl8_47), 119.69/119.00 inference(avatar_component_clause,[],[f731])). 119.69/119.00 tff(f17070,plain,( 119.69/119.00 spl8_1368 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_119 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f17066,f8079,f948,f767,f759,f1027,f17068])). 119.69/119.00 tff(f17068,plain,( 119.69/119.00 spl8_1368 <=> ! [X1 : $int,X3 : uni,X0 : $int,X2 : ty,X4 : uni] : (~$less(0,X1) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3)) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(X0))) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1368])])). 119.69/119.00 tff(f1027,plain,( 119.69/119.00 spl8_137 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_137])])). 119.69/119.00 tff(f759,plain,( 119.69/119.00 spl8_62 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_62])])). 119.69/119.00 tff(f948,plain,( 119.69/119.00 spl8_119 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_119])])). 119.69/119.00 tff(f17066,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | ~$less(0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(X0))) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3)) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_62 | ~spl8_67 | ~spl8_119 | ~spl8_888)), 119.69/119.00 inference(forward_demodulation,[],[f17065,f5835])). 119.69/119.00 tff(f5835,plain,( 119.69/119.00 ( ! [X23:uni,X21:ty,X22:uni] : (nth1(X21,$sum($sum(sK3,$uminus(sK0)),-1),X22) = nth1(X21,$sum(sK3,$uminus(sK0)),cons(X21,X23,X22))) ) | (~spl8_62 | ~spl8_67)), 119.69/119.00 inference(resolution,[],[f1095,f760])). 119.69/119.00 tff(f760,plain,( 119.69/119.00 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_62), 119.69/119.00 inference(avatar_component_clause,[],[f759])). 119.69/119.00 tff(f1095,plain,( 119.69/119.00 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_67), 119.69/119.00 inference(superposition,[],[f768,f287])). 119.69/119.00 tff(f17065,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(X0),t2tb1(sK2)))) | ~$less(0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(X0))) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3)) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_119 | ~spl8_888)), 119.69/119.00 inference(forward_demodulation,[],[f17064,f234])). 119.69/119.00 tff(f17064,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:$int] : (~$less(0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(X0))) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3)) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))))))) ) | (~spl8_119 | ~spl8_888)), 119.69/119.00 inference(forward_demodulation,[],[f17056,f8080])). 119.69/119.00 tff(f17056,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(X0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3)) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))))))) ) | ~spl8_119), 119.69/119.00 inference(superposition,[],[f8773,f267])). 119.69/119.00 tff(f8773,plain,( 119.69/119.00 ( ! [X4:uni,X2:$int,X0:$int,X5:uni,X3:ty,X1:list_int] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X1))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | ~spl8_119), 119.69/119.00 inference(superposition,[],[f8013,f287])). 119.69/119.00 tff(f8013,plain,( 119.69/119.00 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_119), 119.69/119.00 inference(resolution,[],[f949,f269])). 119.69/119.00 tff(f949,plain,( 119.69/119.00 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_119), 119.69/119.00 inference(avatar_component_clause,[],[f948])). 119.69/119.00 tff(f17051,plain,( 119.69/119.00 spl8_1366 | ~spl8_137 | ~spl8_62 | spl8_67 | ~spl8_874), 119.69/119.00 inference(avatar_split_clause,[],[f17047,f8025,f767,f759,f1027,f17049])). 119.69/119.00 tff(f17049,plain,( 119.69/119.00 spl8_1366 <=> ! [X1 : ty,X3 : uni,X0 : $int,X2 : uni,X4 : $int] : (nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X4) | ~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1366])])). 119.69/119.00 tff(f8025,plain,( 119.69/119.00 spl8_874 <=> ! [X11 : $int,X13 : uni,X10 : ty,X12 : uni] : (nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_874])])). 119.69/119.00 tff(f17047,plain,( 119.69/119.00 ( ! [X4:$int,X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X4) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_62 | ~spl8_67 | ~spl8_874)), 119.69/119.00 inference(forward_demodulation,[],[f17046,f5835])). 119.69/119.00 tff(f17046,plain,( 119.69/119.00 ( ! [X4:$int,X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X4) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_874), 119.69/119.00 inference(forward_demodulation,[],[f17040,f234])). 119.69/119.00 tff(f17040,plain,( 119.69/119.00 ( ! [X4:$int,X2:uni,X0:$int,X3:uni,X1:ty] : (nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X4) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))))))) ) | ~spl8_874), 119.69/119.00 inference(trivial_inequality_removal,[],[f17037])). 119.69/119.00 tff(f17037,plain,( 119.69/119.00 ( ! [X4:$int,X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X4) | zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))))))) ) | ~spl8_874), 119.69/119.00 inference(superposition,[],[f8633,f267])). 119.69/119.00 tff(f8633,plain,( 119.69/119.00 ( ! [X6:ty,X10:list_int,X8:uni,X7:$int,X11:$int,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X7),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X10))) | nth1(X6,$sum(X7,-1),X8) = nth1(X6,X7,cons(X6,X9,X8)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X7),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X11) | ~zero_at1(X10,X11)) ) | ~spl8_874), 119.69/119.00 inference(resolution,[],[f8026,f269])). 119.69/119.00 tff(f8026,plain,( 119.69/119.00 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (~$less(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12))) ) | ~spl8_874), 119.69/119.00 inference(avatar_component_clause,[],[f8025])). 119.69/119.00 tff(f16270,plain,( 119.69/119.00 spl8_1360 | spl8_1364 | ~spl8_838 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f16269,f8079,f7743,f16234,f15983])). 119.69/119.00 tff(f15983,plain,( 119.69/119.00 spl8_1360 <=> $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1360])])). 119.69/119.00 tff(f16234,plain,( 119.69/119.00 spl8_1364 <=> ! [X9 : uni,X11 : uni,X10 : uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X10),2)) | ~no_zero1(tb2t1(cons(int,X11,cons(int,X9,X10)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X10)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1364])])). 119.69/119.00 tff(f16269,plain,( 119.69/119.00 ( ! [X50:uni,X48:uni,X49:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X49),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X49)) | ~no_zero1(tb2t1(cons(int,X50,cons(int,X48,X49)))) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_838 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f16268])). 119.69/119.00 tff(f16268,plain,( 119.69/119.00 ( ! [X50:uni,X48:uni,X49:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X49)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X49)) | ~no_zero1(tb2t1(cons(int,X50,cons(int,X48,X49)))) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_838 | ~spl8_888)), 119.69/119.00 inference(forward_demodulation,[],[f16210,f244])). 119.69/119.00 tff(f16210,plain,( 119.69/119.00 ( ! [X50:uni,X48:uni,X49:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X49)) | ~no_zero1(tb2t1(cons(int,X50,cons(int,X48,X49)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X48,X49)))) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_838 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f16207])). 119.69/119.00 tff(f16207,plain,( 119.69/119.00 ( ! [X50:uni,X48:uni,X49:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X49)) | ~no_zero1(tb2t1(cons(int,X50,cons(int,X48,X49)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X48,X49)))) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_838 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f7744,f9678])). 119.69/119.00 tff(f16267,plain,( 119.69/119.00 spl8_1340 | spl8_1364 | ~spl8_120 | ~spl8_838 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f16266,f8032,f7743,f954,f16234,f15943])). 119.69/119.00 tff(f15943,plain,( 119.69/119.00 spl8_1340 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1340])])). 119.69/119.00 tff(f16266,plain,( 119.69/119.00 ( ! [X47:uni,X45:uni,X46:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X46),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X46)) | ~no_zero1(tb2t1(cons(int,X47,cons(int,X45,X46)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16265])). 119.69/119.00 tff(f16265,plain,( 119.69/119.00 ( ! [X47:uni,X45:uni,X46:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X46)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X46)) | ~no_zero1(tb2t1(cons(int,X47,cons(int,X45,X46)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_838 | ~spl8_876)), 119.69/119.00 inference(forward_demodulation,[],[f16211,f244])). 119.69/119.00 tff(f16211,plain,( 119.69/119.00 ( ! [X47:uni,X45:uni,X46:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X46)) | ~no_zero1(tb2t1(cons(int,X47,cons(int,X45,X46)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X45,X46)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16206])). 119.69/119.00 tff(f16206,plain,( 119.69/119.00 ( ! [X47:uni,X45:uni,X46:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X46)) | ~no_zero1(tb2t1(cons(int,X47,cons(int,X45,X46)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X45,X46)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_838 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7744,f9012])). 119.69/119.00 tff(f16264,plain,( 119.69/119.00 spl8_1358 | spl8_1364 | ~spl8_838 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f16263,f8032,f7743,f16234,f15978])). 119.69/119.00 tff(f15978,plain,( 119.69/119.00 spl8_1358 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1358])])). 119.69/119.00 tff(f16263,plain,( 119.69/119.00 ( ! [X43:uni,X44:uni,X42:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X43),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X43)) | ~no_zero1(tb2t1(cons(int,X44,cons(int,X42,X43)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16262])). 119.69/119.00 tff(f16262,plain,( 119.69/119.00 ( ! [X43:uni,X44:uni,X42:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X43)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X43)) | ~no_zero1(tb2t1(cons(int,X44,cons(int,X42,X43)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(forward_demodulation,[],[f16212,f244])). 119.69/119.00 tff(f16212,plain,( 119.69/119.00 ( ! [X43:uni,X44:uni,X42:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X43)) | ~no_zero1(tb2t1(cons(int,X44,cons(int,X42,X43)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X42,X43)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16205])). 119.69/119.00 tff(f16205,plain,( 119.69/119.00 ( ! [X43:uni,X44:uni,X42:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X43)) | ~no_zero1(tb2t1(cons(int,X44,cons(int,X42,X43)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X42,X43)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7744,f8901])). 119.69/119.00 tff(f16261,plain,( 119.69/119.00 spl8_1356 | spl8_1364 | ~spl8_838 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f16260,f8091,f7743,f16234,f15974])). 119.69/119.00 tff(f15974,plain,( 119.69/119.00 spl8_1356 <=> some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1356])])). 119.69/119.00 tff(f16260,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X40:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X40),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X40)) | ~no_zero1(tb2t1(cons(int,X41,cons(int,X39,X40)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f16259])). 119.69/119.00 tff(f16259,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X40:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X40)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X40)) | ~no_zero1(tb2t1(cons(int,X41,cons(int,X39,X40)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_890)), 119.69/119.00 inference(forward_demodulation,[],[f16213,f244])). 119.69/119.00 tff(f16213,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X40)) | ~no_zero1(tb2t1(cons(int,X41,cons(int,X39,X40)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X39,X40)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f16204])). 119.69/119.00 tff(f16204,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X40)) | ~no_zero1(tb2t1(cons(int,X41,cons(int,X39,X40)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X39,X40)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_838 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f7744,f8112])). 119.69/119.00 tff(f16258,plain,( 119.69/119.00 spl8_1354 | spl8_1364 | ~spl8_120 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16257,f7743,f954,f16234,f15970])). 119.69/119.00 tff(f15970,plain,( 119.69/119.00 spl8_1354 <=> tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1354])])). 119.69/119.00 tff(f16257,plain,( 119.69/119.00 ( ! [X37:uni,X38:uni,X36:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X37),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X37)) | ~no_zero1(tb2t1(cons(int,X38,cons(int,X36,X37)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16256])). 119.69/119.00 tff(f16256,plain,( 119.69/119.00 ( ! [X37:uni,X38:uni,X36:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X37)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X37)) | ~no_zero1(tb2t1(cons(int,X38,cons(int,X36,X37)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16214,f244])). 119.69/119.00 tff(f16214,plain,( 119.69/119.00 ( ! [X37:uni,X38:uni,X36:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X37)) | ~no_zero1(tb2t1(cons(int,X38,cons(int,X36,X37)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X36,X37)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16203])). 119.69/119.00 tff(f16203,plain,( 119.69/119.00 ( ! [X37:uni,X38:uni,X36:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X37)) | ~no_zero1(tb2t1(cons(int,X38,cons(int,X36,X37)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X36,X37)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f8035])). 119.69/119.00 tff(f16255,plain,( 119.69/119.00 spl8_1352 | spl8_1364 | ~spl8_838 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f16254,f8032,f7743,f16234,f15966])). 119.69/119.00 tff(f15966,plain,( 119.69/119.00 spl8_1352 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1352])])). 119.69/119.00 tff(f16254,plain,( 119.69/119.00 ( ! [X35:uni,X33:uni,X34:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X34),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X34)) | ~no_zero1(tb2t1(cons(int,X35,cons(int,X33,X34)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16253])). 119.69/119.00 tff(f16253,plain,( 119.69/119.00 ( ! [X35:uni,X33:uni,X34:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X34)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X34)) | ~no_zero1(tb2t1(cons(int,X35,cons(int,X33,X34)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(forward_demodulation,[],[f16215,f244])). 119.69/119.00 tff(f16215,plain,( 119.69/119.00 ( ! [X35:uni,X33:uni,X34:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X34)) | ~no_zero1(tb2t1(cons(int,X35,cons(int,X33,X34)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X33,X34)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f16202])). 119.69/119.00 tff(f16202,plain,( 119.69/119.00 ( ! [X35:uni,X33:uni,X34:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X34)) | ~no_zero1(tb2t1(cons(int,X35,cons(int,X33,X34)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X33,X34)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7744,f8033])). 119.69/119.00 tff(f16252,plain,( 119.69/119.00 spl8_1350 | spl8_1364 | spl8_97 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16251,f7743,f878,f16234,f15962])). 119.69/119.00 tff(f15962,plain,( 119.69/119.00 spl8_1350 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1350])])). 119.69/119.00 tff(f16251,plain,( 119.69/119.00 ( ! [X30:uni,X31:uni,X32:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X31),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X31)) | ~no_zero1(tb2t1(cons(int,X32,cons(int,X30,X31)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16250])). 119.69/119.00 tff(f16250,plain,( 119.69/119.00 ( ! [X30:uni,X31:uni,X32:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X31)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X31)) | ~no_zero1(tb2t1(cons(int,X32,cons(int,X30,X31)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16216,f244])). 119.69/119.00 tff(f16216,plain,( 119.69/119.00 ( ! [X30:uni,X31:uni,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X31)) | ~no_zero1(tb2t1(cons(int,X32,cons(int,X30,X31)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X30,X31)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16201])). 119.69/119.00 tff(f16201,plain,( 119.69/119.00 ( ! [X30:uni,X31:uni,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X31)) | ~no_zero1(tb2t1(cons(int,X32,cons(int,X30,X31)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X30,X31)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f7558])). 119.69/119.00 tff(f16249,plain,( 119.69/119.00 spl8_1344 | spl8_1348 | spl8_1364 | spl8_97 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16248,f7743,f878,f16234,f15958,f15951])). 119.69/119.00 tff(f15951,plain,( 119.69/119.00 spl8_1344 <=> 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1344])])). 119.69/119.00 tff(f15958,plain,( 119.69/119.00 spl8_1348 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1348])])). 119.69/119.00 tff(f16248,plain,( 119.69/119.00 ( ! [X28:uni,X29:uni,X27:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X28),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X28)) | ~no_zero1(tb2t1(cons(int,X29,cons(int,X27,X28)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16247])). 119.69/119.00 tff(f16247,plain,( 119.69/119.00 ( ! [X28:uni,X29:uni,X27:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X28)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X28)) | ~no_zero1(tb2t1(cons(int,X29,cons(int,X27,X28)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16217,f244])). 119.69/119.00 tff(f16217,plain,( 119.69/119.00 ( ! [X28:uni,X29:uni,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X28)) | ~no_zero1(tb2t1(cons(int,X29,cons(int,X27,X28)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X27,X28)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16200])). 119.69/119.00 tff(f16200,plain,( 119.69/119.00 ( ! [X28:uni,X29:uni,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X28)) | ~no_zero1(tb2t1(cons(int,X29,cons(int,X27,X28)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X27,X28)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f7446])). 119.69/119.00 tff(f16246,plain,( 119.69/119.00 spl8_1344 | spl8_1346 | spl8_1364 | ~spl8_100 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16245,f7743,f895,f16234,f15954,f15951])). 119.69/119.00 tff(f15954,plain,( 119.69/119.00 spl8_1346 <=> tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1346])])). 119.69/119.00 tff(f16245,plain,( 119.69/119.00 ( ! [X19:uni,X20:uni,X18:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X19),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X19)) | ~no_zero1(tb2t1(cons(int,X20,cons(int,X18,X19)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16244])). 119.69/119.00 tff(f16244,plain,( 119.69/119.00 ( ! [X19:uni,X20:uni,X18:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X19)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X19)) | ~no_zero1(tb2t1(cons(int,X20,cons(int,X18,X19)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16220,f244])). 119.69/119.00 tff(f16220,plain,( 119.69/119.00 ( ! [X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X19)) | ~no_zero1(tb2t1(cons(int,X20,cons(int,X18,X19)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X18,X19)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16197])). 119.69/119.00 tff(f16197,plain,( 119.69/119.00 ( ! [X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X19)) | ~no_zero1(tb2t1(cons(int,X20,cons(int,X18,X19)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X18,X19)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f3289])). 119.69/119.00 tff(f16243,plain,( 119.69/119.00 spl8_1342 | spl8_1364 | ~spl8_286 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16242,f7743,f1839,f16234,f15947])). 119.69/119.00 tff(f15947,plain,( 119.69/119.00 spl8_1342 <=> some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1342])])). 119.69/119.00 tff(f16242,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X16:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X16),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X16)) | ~no_zero1(tb2t1(cons(int,X17,cons(int,X15,X16)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16241])). 119.69/119.00 tff(f16241,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X16:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X16)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X16)) | ~no_zero1(tb2t1(cons(int,X17,cons(int,X15,X16)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16221,f244])). 119.69/119.00 tff(f16221,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X16)) | ~no_zero1(tb2t1(cons(int,X17,cons(int,X15,X16)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X15,X16)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16196])). 119.69/119.00 tff(f16196,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X16)) | ~no_zero1(tb2t1(cons(int,X17,cons(int,X15,X16)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X15,X16)))) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f2627])). 119.69/119.00 tff(f16240,plain,( 119.69/119.00 spl8_1364 | spl8_1340 | ~spl8_100 | ~spl8_838 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f16239,f14432,f7743,f895,f15943,f16234])). 119.69/119.00 tff(f16239,plain,( 119.69/119.00 ( ! [X14:uni,X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X13),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X13)) | ~no_zero1(tb2t1(cons(int,X14,cons(int,X12,X13))))) ) | (~spl8_100 | ~spl8_838 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f16238,f14765])). 119.69/119.00 tff(f16238,plain,( 119.69/119.00 ( ! [X14:uni,X12:uni,X13:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X13),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X13)) | ~no_zero1(tb2t1(cons(int,X14,cons(int,X12,X13)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16237])). 119.69/119.00 tff(f16237,plain,( 119.69/119.00 ( ! [X14:uni,X12:uni,X13:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X13)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X13)) | ~no_zero1(tb2t1(cons(int,X14,cons(int,X12,X13)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(forward_demodulation,[],[f16222,f244])). 119.69/119.00 tff(f16222,plain,( 119.69/119.00 ( ! [X14:uni,X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X13)) | ~no_zero1(tb2t1(cons(int,X14,cons(int,X12,X13)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X12,X13)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(evaluation,[],[f16195])). 119.69/119.00 tff(f16195,plain,( 119.69/119.00 ( ! [X14:uni,X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X13)) | ~no_zero1(tb2t1(cons(int,X14,cons(int,X12,X13)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X12,X13)))) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f1857])). 119.69/119.00 tff(f16236,plain,( 119.69/119.00 spl8_1336 | spl8_1364 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16232,f7743,f16234,f15935])). 119.69/119.00 tff(f15935,plain,( 119.69/119.00 spl8_1336 <=> 1 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1336])])). 119.69/119.00 tff(f16232,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni,X9:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(length1(int,X10),2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X10)) | ~no_zero1(tb2t1(cons(int,X11,cons(int,X9,X10)))) | 1 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_838), 119.69/119.00 inference(evaluation,[],[f16231])). 119.69/119.00 tff(f16231,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni,X9:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,$sum(1,length1(int,X10)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X10)) | ~no_zero1(tb2t1(cons(int,X11,cons(int,X9,X10)))) | 1 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_838), 119.69/119.00 inference(forward_demodulation,[],[f16223,f244])). 119.69/119.00 tff(f16223,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X10)) | ~no_zero1(tb2t1(cons(int,X11,cons(int,X9,X10)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X9,X10)))) | 1 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_838), 119.69/119.00 inference(evaluation,[],[f16194])). 119.69/119.00 tff(f16194,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X10)) | ~no_zero1(tb2t1(cons(int,X11,cons(int,X9,X10)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons(int,X9,X10)))) | 0 = $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) ) | ~spl8_838), 119.69/119.00 inference(superposition,[],[f7744,f287])). 119.69/119.00 tff(f16230,plain,( 119.69/119.00 spl8_1362 | spl8_652 | ~spl8_100 | ~spl8_838 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f16229,f14432,f7743,f895,f5548,f16225])). 119.69/119.00 tff(f16225,plain,( 119.69/119.00 spl8_1362 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | nil(int) = X0 | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,X0)))) | ~no_zero1(tb2t1(cons(int,X1,cons_proj_21(int,X0)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1362])])). 119.69/119.00 tff(f5548,plain,( 119.69/119.00 spl8_652 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_652])])). 119.69/119.00 tff(f16229,plain,( 119.69/119.00 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X6)) | ~no_zero1(tb2t1(cons(int,X7,cons_proj_21(int,X6)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,X6)))) | nil(int) = X6) ) | (~spl8_100 | ~spl8_838 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f16192,f14765])). 119.69/119.00 tff(f16192,plain,( 119.69/119.00 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X6)) | ~no_zero1(tb2t1(cons(int,X7,cons_proj_21(int,X6)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,X6)))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X6) ) | (~spl8_100 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f3291])). 119.69/119.00 tff(f3291,plain,( 119.69/119.00 ( ! [X2:$int,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(X2))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(X2),t2tb1(sK2)))),cons(int,t2tb2(X2),t2tb1(sK2)))) | nth1(X0,X2,X1) = nth1(X0,$sum(X2,-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_100), 119.69/119.00 inference(superposition,[],[f1857,f260])). 119.69/119.00 tff(f16228,plain,( 119.69/119.00 spl8_1334 | spl8_1362 | ~spl8_838 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f16190,f8032,f7743,f16225,f15929])). 119.69/119.00 tff(f15929,plain,( 119.69/119.00 spl8_1334 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1334])])). 119.69/119.00 tff(f16190,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2)) | ~no_zero1(tb2t1(cons(int,X3,cons_proj_21(int,X2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,X2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X2) ) | (~spl8_838 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7744,f8793])). 119.69/119.00 tff(f8793,plain,( 119.69/119.00 ( ! [X2:$int,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X2),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X2),t2tb1(sK2)))) | nth1(X0,X2,X1) = nth1(X0,$sum(X2,-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_876), 119.69/119.00 inference(superposition,[],[f8033,f260])). 119.69/119.00 tff(f16227,plain,( 119.69/119.00 spl8_1330 | spl8_1362 | ~spl8_120 | ~spl8_838), 119.69/119.00 inference(avatar_split_clause,[],[f16189,f7743,f954,f16225,f15922])). 119.69/119.00 tff(f15922,plain,( 119.69/119.00 spl8_1330 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1330])])). 119.69/119.00 tff(f16189,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~no_zero1(tb2t1(cons(int,X1,cons_proj_21(int,X0)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,cons_proj_21(int,X0)))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X0) ) | (~spl8_120 | ~spl8_838)), 119.69/119.00 inference(superposition,[],[f7744,f8921])). 119.69/119.00 tff(f8921,plain,( 119.69/119.00 ( ! [X2:$int,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(X2))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X2),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X2),t2tb1(sK2)))) | nth1(X0,X2,X1) = nth1(X0,$sum(X2,-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_120), 119.69/119.00 inference(superposition,[],[f8035,f260])). 119.69/119.00 tff(f15985,plain,( 119.69/119.00 spl8_1360 | spl8_1338 | ~spl8_826 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f15907,f8079,f7693,f15938,f15983])). 119.69/119.00 tff(f15938,plain,( 119.69/119.00 spl8_1338 <=> ! [X16 : uni,X15 : uni,X17 : $int,X14 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X15)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X17) | ~zero_at1(tb2t1(cons(int,X16,cons(int,X14,X15))),X17))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1338])])). 119.69/119.00 tff(f15907,plain,( 119.69/119.00 ( ! [X68:uni,X66:uni,X69:$int,X67:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X67)) | ~zero_at1(tb2t1(cons(int,X68,cons(int,X66,X67))),X69) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X69) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_826 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f15904])). 119.69/119.00 tff(f15904,plain,( 119.69/119.00 ( ! [X68:uni,X66:uni,X69:$int,X67:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X67)) | ~zero_at1(tb2t1(cons(int,X68,cons(int,X66,X67))),X69) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X69) | $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_826 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f7694,f9678])). 119.69/119.00 tff(f15981,plain,( 119.69/119.00 spl8_1340 | spl8_1338 | ~spl8_120 | ~spl8_826 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f15908,f8032,f7693,f954,f15938,f15943])). 119.69/119.00 tff(f15908,plain,( 119.69/119.00 ( ! [X64:uni,X62:uni,X65:$int,X63:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X63)) | ~zero_at1(tb2t1(cons(int,X64,cons(int,X62,X63))),X65) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X65) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_826 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f15903])). 119.69/119.00 tff(f15903,plain,( 119.69/119.00 ( ! [X64:uni,X62:uni,X65:$int,X63:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X63)) | ~zero_at1(tb2t1(cons(int,X64,cons(int,X62,X63))),X65) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X65) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))))) ) | (~spl8_120 | ~spl8_826 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7694,f9012])). 119.69/119.00 tff(f15980,plain,( 119.69/119.00 spl8_1358 | spl8_1338 | ~spl8_826 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f15909,f8032,f7693,f15938,f15978])). 119.69/119.00 tff(f15909,plain,( 119.69/119.00 ( ! [X61:$int,X59:uni,X60:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X59)) | ~zero_at1(tb2t1(cons(int,X60,cons(int,X58,X59))),X61) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X61) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_826 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f15902])). 119.69/119.00 tff(f15902,plain,( 119.69/119.00 ( ! [X61:$int,X59:uni,X60:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X59)) | ~zero_at1(tb2t1(cons(int,X60,cons(int,X58,X59))),X61) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X61) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_826 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7694,f8901])). 119.69/119.00 tff(f15976,plain,( 119.69/119.00 spl8_1356 | spl8_1338 | ~spl8_826 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f15910,f8091,f7693,f15938,f15974])). 119.69/119.00 tff(f15910,plain,( 119.69/119.00 ( ! [X57:$int,X54:uni,X56:uni,X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X55)) | ~zero_at1(tb2t1(cons(int,X56,cons(int,X54,X55))),X57) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X57) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_826 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f15901])). 119.69/119.00 tff(f15901,plain,( 119.69/119.00 ( ! [X57:$int,X54:uni,X56:uni,X55:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X55)) | ~zero_at1(tb2t1(cons(int,X56,cons(int,X54,X55))),X57) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X57) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_826 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f7694,f8112])). 119.69/119.00 tff(f15972,plain,( 119.69/119.00 spl8_1354 | spl8_1338 | ~spl8_120 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15911,f7693,f954,f15938,f15970])). 119.69/119.00 tff(f15911,plain,( 119.69/119.00 ( ! [X52:uni,X50:uni,X53:$int,X51:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X51)) | ~zero_at1(tb2t1(cons(int,X52,cons(int,X50,X51))),X53) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X53) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15900])). 119.69/119.00 tff(f15900,plain,( 119.69/119.00 ( ! [X52:uni,X50:uni,X53:$int,X51:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X51)) | ~zero_at1(tb2t1(cons(int,X52,cons(int,X50,X51))),X53) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X53) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f8035])). 119.69/119.00 tff(f15968,plain,( 119.69/119.00 spl8_1352 | spl8_1338 | ~spl8_826 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f15912,f8032,f7693,f15938,f15966])). 119.69/119.00 tff(f15912,plain,( 119.69/119.00 ( ! [X47:uni,X48:uni,X46:uni,X49:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X47)) | ~zero_at1(tb2t1(cons(int,X48,cons(int,X46,X47))),X49) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X49) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_826 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f15899])). 119.69/119.00 tff(f15899,plain,( 119.69/119.00 ( ! [X47:uni,X48:uni,X46:uni,X49:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X47)) | ~zero_at1(tb2t1(cons(int,X48,cons(int,X46,X47))),X49) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X49) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_826 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7694,f8033])). 119.69/119.00 tff(f15964,plain,( 119.69/119.00 spl8_1350 | spl8_1338 | spl8_97 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15913,f7693,f878,f15938,f15962])). 119.69/119.00 tff(f15913,plain,( 119.69/119.00 ( ! [X45:$int,X43:uni,X44:uni,X42:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X43)) | ~zero_at1(tb2t1(cons(int,X44,cons(int,X42,X43))),X45) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X45) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15898])). 119.69/119.00 tff(f15898,plain,( 119.69/119.00 ( ! [X45:$int,X43:uni,X44:uni,X42:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X43)) | ~zero_at1(tb2t1(cons(int,X44,cons(int,X42,X43))),X45) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X45) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f7558])). 119.69/119.00 tff(f15960,plain,( 119.69/119.00 spl8_1344 | spl8_1348 | spl8_1338 | spl8_97 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15914,f7693,f878,f15938,f15958,f15951])). 119.69/119.00 tff(f15914,plain,( 119.69/119.00 ( ! [X39:uni,X41:$int,X38:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X39)) | ~zero_at1(tb2t1(cons(int,X40,cons(int,X38,X39))),X41) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X41) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15897])). 119.69/119.00 tff(f15897,plain,( 119.69/119.00 ( ! [X39:uni,X41:$int,X38:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X39)) | ~zero_at1(tb2t1(cons(int,X40,cons(int,X38,X39))),X41) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X41) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f7446])). 119.69/119.00 tff(f15956,plain,( 119.69/119.00 spl8_1344 | spl8_1346 | spl8_1338 | ~spl8_100 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15917,f7693,f895,f15938,f15954,f15951])). 119.69/119.00 tff(f15917,plain,( 119.69/119.00 ( ! [X28:uni,X26:uni,X29:$int,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X27)) | ~zero_at1(tb2t1(cons(int,X28,cons(int,X26,X27))),X29) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X29) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15894])). 119.69/119.00 tff(f15894,plain,( 119.69/119.00 ( ! [X28:uni,X26:uni,X29:$int,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X27)) | ~zero_at1(tb2t1(cons(int,X28,cons(int,X26,X27))),X29) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X29) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f3289])). 119.69/119.00 tff(f15949,plain,( 119.69/119.00 spl8_1342 | spl8_1338 | ~spl8_286 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15918,f7693,f1839,f15938,f15947])). 119.69/119.00 tff(f15918,plain,( 119.69/119.00 ( ! [X24:uni,X23:uni,X25:$int,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X23)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X22,X23))),X25) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X25) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15893])). 119.69/119.00 tff(f15893,plain,( 119.69/119.00 ( ! [X24:uni,X23:uni,X25:$int,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X23)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X22,X23))),X25) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X25) | some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f2627])). 119.69/119.00 tff(f15945,plain,( 119.69/119.00 spl8_1338 | spl8_1340 | ~spl8_100 | ~spl8_826 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f15941,f14432,f7693,f895,f15943,f15938])). 119.69/119.00 tff(f15941,plain,( 119.69/119.00 ( ! [X21:$int,X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X19)) | ~zero_at1(tb2t1(cons(int,X20,cons(int,X18,X19))),X21) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X21)) ) | (~spl8_100 | ~spl8_826 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f15919,f14765])). 119.69/119.00 tff(f15919,plain,( 119.69/119.00 ( ! [X21:$int,X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X19)) | ~zero_at1(tb2t1(cons(int,X20,cons(int,X18,X19))),X21) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X21) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_826)), 119.69/119.00 inference(evaluation,[],[f15892])). 119.69/119.00 tff(f15892,plain,( 119.69/119.00 ( ! [X21:$int,X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X19)) | ~zero_at1(tb2t1(cons(int,X20,cons(int,X18,X19))),X21) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X21) | tb2t(some(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f1857])). 119.69/119.00 tff(f15940,plain,( 119.69/119.00 spl8_1336 | spl8_1338 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15920,f7693,f15938,f15935])). 119.69/119.00 tff(f15920,plain,( 119.69/119.00 ( ! [X14:uni,X17:$int,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-2),X15)) | ~zero_at1(tb2t1(cons(int,X16,cons(int,X14,X15))),X17) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X17) | 1 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_826), 119.69/119.00 inference(evaluation,[],[f15891])). 119.69/119.00 tff(f15891,plain,( 119.69/119.00 ( ! [X14:uni,X17:$int,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),-1),X15)) | ~zero_at1(tb2t1(cons(int,X16,cons(int,X14,X15))),X17) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X17) | 0 = $sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) ) | ~spl8_826), 119.69/119.00 inference(superposition,[],[f7694,f287])). 119.69/119.00 tff(f15933,plain,( 119.69/119.00 spl8_1332 | spl8_652 | ~spl8_100 | ~spl8_826 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f15932,f14432,f7693,f895,f5548,f15925])). 119.69/119.00 tff(f15925,plain,( 119.69/119.00 spl8_1332 <=> ! [X1 : uni,X0 : uni,X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | nil(int) = X0 | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(tb2t1(cons(int,X1,cons_proj_21(int,X0))),X2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1332])])). 119.69/119.00 tff(f15932,plain,( 119.69/119.00 ( ! [X10:uni,X11:$int,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X9)) | ~zero_at1(tb2t1(cons(int,X10,cons_proj_21(int,X9))),X11) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X11) | nil(int) = X9) ) | (~spl8_100 | ~spl8_826 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f15889,f14765])). 119.69/119.00 tff(f15889,plain,( 119.69/119.00 ( ! [X10:uni,X11:$int,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X9)) | ~zero_at1(tb2t1(cons(int,X10,cons_proj_21(int,X9))),X11) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X11) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X9) ) | (~spl8_100 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f3291])). 119.69/119.00 tff(f15931,plain,( 119.69/119.00 spl8_1334 | spl8_1332 | ~spl8_826 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f15887,f8032,f7693,f15925,f15929])). 119.69/119.00 tff(f15887,plain,( 119.69/119.00 ( ! [X4:uni,X5:$int,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons_proj_21(int,X3))),X5) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X5) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X3) ) | (~spl8_826 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f7694,f8793])). 119.69/119.00 tff(f15927,plain,( 119.69/119.00 spl8_1330 | spl8_1332 | ~spl8_120 | ~spl8_826), 119.69/119.00 inference(avatar_split_clause,[],[f15886,f7693,f954,f15925,f15922])). 119.69/119.00 tff(f15886,plain,( 119.69/119.00 ( ! [X2:$int,X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~zero_at1(tb2t1(cons(int,X1,cons_proj_21(int,X0))),X2) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X2) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | nil(int) = X0) ) | (~spl8_120 | ~spl8_826)), 119.69/119.00 inference(superposition,[],[f7694,f8921])). 119.69/119.00 tff(f15284,plain,( 119.69/119.00 spl8_1324 | spl8_1326 | ~spl8_1329 | spl8_41 | ~spl8_154 | ~spl8_666 | ~spl8_1240), 119.69/119.00 inference(avatar_split_clause,[],[f15274,f13084,f5576,f1101,f522,f15282,f15279,f15276])). 119.69/119.00 tff(f15276,plain,( 119.69/119.00 spl8_1324 <=> ! [X54 : uni] : ($less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),0),0) | cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),X54))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1324])])). 119.69/119.00 tff(f15279,plain,( 119.69/119.00 spl8_1326 <=> none(int) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1326])])). 119.69/119.00 tff(f15282,plain,( 119.69/119.00 spl8_1329 <=> ~sort1(option(int),nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1329])])). 119.69/119.00 tff(f5576,plain,( 119.69/119.00 spl8_666 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_666])])). 119.69/119.00 tff(f13084,plain,( 119.69/119.00 spl8_1240 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X0,X2,X1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1240])])). 119.69/119.00 tff(f15274,plain,( 119.69/119.00 ( ! [X54:uni] : (~sort1(option(int),nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | none(int) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2)) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),0),0) | cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),X54)) ) | (~spl8_41 | ~spl8_154 | ~spl8_666 | ~spl8_1240)), 119.69/119.00 inference(forward_demodulation,[],[f15273,f13085])). 119.69/119.00 tff(f13085,plain,( 119.69/119.00 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X0,X2,X1))) ) | ~spl8_1240), 119.69/119.00 inference(avatar_component_clause,[],[f13084])). 119.69/119.00 tff(f15273,plain,( 119.69/119.00 ( ! [X54:uni] : (none(int) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2)) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),0),0) | cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),X54) | ~sort1(option(int),nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_41 | ~spl8_154 | ~spl8_666 | ~spl8_1240)), 119.69/119.00 inference(forward_demodulation,[],[f15272,f13085])). 119.69/119.00 tff(f15272,plain,( 119.69/119.00 ( ! [X54:uni] : ($less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),0),0) | cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),X54) | none(int) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~sort1(option(int),nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_41 | ~spl8_154 | ~spl8_666 | ~spl8_1240)), 119.69/119.00 inference(forward_demodulation,[],[f15271,f13085])). 119.69/119.00 tff(f15271,plain,( 119.69/119.00 ( ! [X54:uni] : (cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))),X54)),X54) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54)),0),0) | none(int) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~sort1(option(int),nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_41 | ~spl8_154 | ~spl8_666 | ~spl8_1240)), 119.69/119.00 inference(forward_demodulation,[],[f15244,f13085])). 119.69/119.00 tff(f15244,plain,( 119.69/119.00 ( ! [X54:uni] : (cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54)),X54) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54)),0),0) | none(int) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~sort1(option(int),nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_41 | ~spl8_154 | ~spl8_666)), 119.69/119.00 inference(trivial_inequality_removal,[],[f15233])). 119.69/119.00 tff(f15233,plain,( 119.69/119.00 ( ! [X54:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54) = cons(int,cons_proj_11(int,cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54)),X54) | $less(sK7(tb2t1(cons(int,some_proj_11(int,nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))),X54)),0),0) | none(int) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~sort1(option(int),nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_41 | ~spl8_154 | ~spl8_666)), 119.69/119.00 inference(superposition,[],[f3199,f5577])). 119.69/119.00 tff(f5577,plain,( 119.69/119.00 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_666), 119.69/119.00 inference(avatar_component_clause,[],[f5576])). 119.69/119.00 tff(f14952,plain,( 119.69/119.00 spl8_1206 | spl8_1322 | ~spl8_104 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f14927,f8079,f908,f14940,f12662])). 119.69/119.00 tff(f12662,plain,( 119.69/119.00 spl8_1206 <=> $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1206])])). 119.69/119.00 tff(f14940,plain,( 119.69/119.00 spl8_1322 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X0,X1))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1322])])). 119.69/119.00 tff(f14927,plain,( 119.69/119.00 ( ! [X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X23)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X22,X23)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X22,X23))) | ~zero_at1(tb2t1(cons(int,X22,X23)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f14924])). 119.69/119.00 tff(f14924,plain,( 119.69/119.00 ( ! [X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X23)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X22,X23)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X22,X23))) | ~zero_at1(tb2t1(cons(int,X22,X23)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f3521,f9678])). 119.69/119.00 tff(f3521,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X0),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),X0)) | ~zero_at1(tb2t1(X0),sK3)) ) | ~spl8_104), 119.69/119.00 inference(forward_demodulation,[],[f3518,f234])). 119.69/119.00 tff(f3518,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X0),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(tb2t1(X0)))) | ~zero_at1(tb2t1(X0),sK3)) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f1566,f234])). 119.69/119.00 tff(f1566,plain,( 119.69/119.00 ( ! [X2:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(X2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X2,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(X2))) | ~zero_at1(X2,sK3)) ) | ~spl8_104), 119.69/119.00 inference(resolution,[],[f1109,f267])). 119.69/119.00 tff(f1109,plain,( 119.69/119.00 ( ! [X0:list_int] : (~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(X0,sK3)) ) | ~spl8_104), 119.69/119.00 inference(trivial_inequality_removal,[],[f1108])). 119.69/119.00 tff(f1108,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(X0,sK3)) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f909,f268])). 119.69/119.00 tff(f14951,plain,( 119.69/119.00 spl8_1204 | spl8_1322 | ~spl8_104 | ~spl8_120 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14928,f8032,f954,f908,f14940,f12658])). 119.69/119.00 tff(f12658,plain,( 119.69/119.00 spl8_1204 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1204])])). 119.69/119.00 tff(f14928,plain,( 119.69/119.00 ( ! [X21:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X21)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X20,X21)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X20,X21))) | ~zero_at1(tb2t1(cons(int,X20,X21)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14923])). 119.69/119.00 tff(f14923,plain,( 119.69/119.00 ( ! [X21:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X21)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X20,X21)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X20,X21))) | ~zero_at1(tb2t1(cons(int,X20,X21)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3521,f9012])). 119.69/119.00 tff(f14950,plain,( 119.69/119.00 spl8_1320 | spl8_1322 | ~spl8_104 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14929,f8032,f908,f14940,f14811])). 119.69/119.00 tff(f14811,plain,( 119.69/119.00 spl8_1320 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1320])])). 119.69/119.00 tff(f14929,plain,( 119.69/119.00 ( ! [X19:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X19)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X18,X19)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X18,X19))) | ~zero_at1(tb2t1(cons(int,X18,X19)),sK3) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14922])). 119.69/119.00 tff(f14922,plain,( 119.69/119.00 ( ! [X19:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X19)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X18,X19)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X18,X19))) | ~zero_at1(tb2t1(cons(int,X18,X19)),sK3) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3521,f8901])). 119.69/119.00 tff(f14949,plain,( 119.69/119.00 spl8_1318 | spl8_1322 | ~spl8_104 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f14930,f8091,f908,f14940,f14807])). 119.69/119.00 tff(f14807,plain,( 119.69/119.00 spl8_1318 <=> some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1318])])). 119.69/119.00 tff(f14930,plain,( 119.69/119.00 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X17)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X16,X17))) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f14921])). 119.69/119.00 tff(f14921,plain,( 119.69/119.00 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X17)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X16,X17))) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f3521,f8112])). 119.69/119.00 tff(f14948,plain,( 119.69/119.00 spl8_1202 | spl8_1322 | ~spl8_104 | ~spl8_120), 119.69/119.00 inference(avatar_split_clause,[],[f14931,f954,f908,f14940,f12654])). 119.69/119.00 tff(f12654,plain,( 119.69/119.00 spl8_1202 <=> tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1202])])). 119.69/119.00 tff(f14931,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X15)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X14,X15))) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.00 inference(evaluation,[],[f14920])). 119.69/119.00 tff(f14920,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X15)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X14,X15))) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.00 inference(superposition,[],[f3521,f8035])). 119.69/119.00 tff(f14947,plain,( 119.69/119.00 spl8_1200 | spl8_1322 | ~spl8_104 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14932,f8032,f908,f14940,f12650])). 119.69/119.00 tff(f12650,plain,( 119.69/119.00 spl8_1200 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1200])])). 119.69/119.00 tff(f14932,plain,( 119.69/119.00 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X13)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X12,X13))) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14919])). 119.69/119.00 tff(f14919,plain,( 119.69/119.00 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X13)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X12,X13))) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3521,f8033])). 119.69/119.00 tff(f14946,plain,( 119.69/119.00 spl8_1316 | spl8_1322 | spl8_97 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f14933,f908,f878,f14940,f14801])). 119.69/119.00 tff(f14801,plain,( 119.69/119.00 spl8_1316 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1316])])). 119.69/119.00 tff(f14933,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X11)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X10,X11))) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(evaluation,[],[f14918])). 119.69/119.00 tff(f14918,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X11)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X10,X11))) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3521,f7558])). 119.69/119.00 tff(f14945,plain,( 119.69/119.00 spl8_1194 | spl8_1322 | ~spl8_104 | ~spl8_286), 119.69/119.00 inference(avatar_split_clause,[],[f14936,f1839,f908,f14940,f12638])). 119.69/119.00 tff(f12638,plain,( 119.69/119.00 spl8_1194 <=> some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1194])])). 119.69/119.00 tff(f14936,plain,( 119.69/119.00 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X5)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X4,X5))) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.00 inference(evaluation,[],[f14915])). 119.69/119.00 tff(f14915,plain,( 119.69/119.00 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X5)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X4,X5))) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.00 inference(superposition,[],[f3521,f2627])). 119.69/119.00 tff(f14944,plain,( 119.69/119.00 spl8_1322 | spl8_1204 | ~spl8_100 | ~spl8_104 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f14943,f14432,f908,f895,f12658,f14940])). 119.69/119.00 tff(f14943,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X3)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X2,X3))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3)) ) | (~spl8_100 | ~spl8_104 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f14937,f14765])). 119.69/119.00 tff(f14937,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X3)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X2,X3))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.00 inference(evaluation,[],[f14914])). 119.69/119.00 tff(f14914,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X3)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X2,X3))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3521,f1857])). 119.69/119.00 tff(f14942,plain,( 119.69/119.00 spl8_1188 | spl8_1322 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f14938,f908,f14940,f12627])). 119.69/119.00 tff(f12627,plain,( 119.69/119.00 spl8_1188 <=> 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1188])])). 119.69/119.00 tff(f14938,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X0,X1))) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.00 inference(evaluation,[],[f14913])). 119.69/119.00 tff(f14913,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),cons(int,X0,X1))) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f3521,f287])). 119.69/119.00 tff(f14815,plain,( 119.69/119.00 spl8_1206 | spl8_1314 | ~spl8_104 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f14781,f8079,f908,f14794,f12662])). 119.69/119.00 tff(f14794,plain,( 119.69/119.00 spl8_1314 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | $less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1314])])). 119.69/119.00 tff(f14781,plain,( 119.69/119.00 ( ! [X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X23)) | $less(sK7(tb2t1(cons(int,X22,X23)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X22,X23)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f14778])). 119.69/119.00 tff(f14778,plain,( 119.69/119.00 ( ! [X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X23)) | $less(sK7(tb2t1(cons(int,X22,X23)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X22,X23)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f3368,f9678])). 119.69/119.00 tff(f3368,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),X0)) | $less(sK7(tb2t1(X0),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(X0),sK3)) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f1564,f234])). 119.69/119.00 tff(f1564,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(X0))) | $less(sK7(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(X0,sK3)) ) | ~spl8_104), 119.69/119.00 inference(resolution,[],[f1109,f265])). 119.69/119.00 tff(f14814,plain,( 119.69/119.00 spl8_1204 | spl8_1314 | ~spl8_104 | ~spl8_120 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14782,f8032,f954,f908,f14794,f12658])). 119.69/119.00 tff(f14782,plain,( 119.69/119.00 ( ! [X21:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X21)) | $less(sK7(tb2t1(cons(int,X20,X21)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X20,X21)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14777])). 119.69/119.00 tff(f14777,plain,( 119.69/119.00 ( ! [X21:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X21)) | $less(sK7(tb2t1(cons(int,X20,X21)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X20,X21)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3368,f9012])). 119.69/119.00 tff(f14813,plain,( 119.69/119.00 spl8_1320 | spl8_1314 | ~spl8_104 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14783,f8032,f908,f14794,f14811])). 119.69/119.00 tff(f14783,plain,( 119.69/119.00 ( ! [X19:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X19)) | $less(sK7(tb2t1(cons(int,X18,X19)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X18,X19)),sK3) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14776])). 119.69/119.00 tff(f14776,plain,( 119.69/119.00 ( ! [X19:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X19)) | $less(sK7(tb2t1(cons(int,X18,X19)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X18,X19)),sK3) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3368,f8901])). 119.69/119.00 tff(f14809,plain,( 119.69/119.00 spl8_1318 | spl8_1314 | ~spl8_104 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f14784,f8091,f908,f14794,f14807])). 119.69/119.00 tff(f14784,plain,( 119.69/119.00 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X17)) | $less(sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f14775])). 119.69/119.00 tff(f14775,plain,( 119.69/119.00 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X17)) | $less(sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f3368,f8112])). 119.69/119.00 tff(f14805,plain,( 119.69/119.00 spl8_1202 | spl8_1314 | ~spl8_104 | ~spl8_120), 119.69/119.00 inference(avatar_split_clause,[],[f14785,f954,f908,f14794,f12654])). 119.69/119.00 tff(f14785,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X15)) | $less(sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.00 inference(evaluation,[],[f14774])). 119.69/119.00 tff(f14774,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X15)) | $less(sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.00 inference(superposition,[],[f3368,f8035])). 119.69/119.00 tff(f14804,plain,( 119.69/119.00 spl8_1200 | spl8_1314 | ~spl8_104 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14786,f8032,f908,f14794,f12650])). 119.69/119.00 tff(f14786,plain,( 119.69/119.00 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X13)) | $less(sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14773])). 119.69/119.00 tff(f14773,plain,( 119.69/119.00 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X13)) | $less(sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3368,f8033])). 119.69/119.00 tff(f14803,plain,( 119.69/119.00 spl8_1316 | spl8_1314 | spl8_97 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f14787,f908,f878,f14794,f14801])). 119.69/119.00 tff(f14787,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X11)) | $less(sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(evaluation,[],[f14772])). 119.69/119.00 tff(f14772,plain,( 119.69/119.00 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X11)) | $less(sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3368,f7558])). 119.69/119.00 tff(f14799,plain,( 119.69/119.00 spl8_1194 | spl8_1314 | ~spl8_104 | ~spl8_286), 119.69/119.00 inference(avatar_split_clause,[],[f14790,f1839,f908,f14794,f12638])). 119.69/119.00 tff(f14790,plain,( 119.69/119.00 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X5)) | $less(sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.00 inference(evaluation,[],[f14769])). 119.69/119.00 tff(f14769,plain,( 119.69/119.00 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X5)) | $less(sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.00 inference(superposition,[],[f3368,f2627])). 119.69/119.00 tff(f14798,plain,( 119.69/119.00 spl8_1314 | spl8_1204 | ~spl8_100 | ~spl8_104 | ~spl8_1300), 119.69/119.00 inference(avatar_split_clause,[],[f14797,f14432,f908,f895,f12658,f14794])). 119.69/119.00 tff(f14797,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X3)) | $less(sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3)) ) | (~spl8_100 | ~spl8_104 | ~spl8_1300)), 119.69/119.00 inference(forward_demodulation,[],[f14791,f14765])). 119.69/119.00 tff(f14791,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X3)) | $less(sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.00 inference(evaluation,[],[f14768])). 119.69/119.00 tff(f14768,plain,( 119.69/119.00 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X3)) | $less(sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3368,f1857])). 119.69/119.00 tff(f14796,plain,( 119.69/119.00 spl8_1188 | spl8_1314 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f14792,f908,f14794,f12627])). 119.69/119.00 tff(f14792,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | $less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.00 inference(evaluation,[],[f14767])). 119.69/119.00 tff(f14767,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X1)) | $less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.00 inference(superposition,[],[f3368,f287])). 119.69/119.00 tff(f14534,plain,( 119.69/119.00 spl8_1178 | spl8_1304 | ~spl8_426 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f14491,f8079,f3278,f14509,f12240])). 119.69/119.00 tff(f12240,plain,( 119.69/119.00 spl8_1178 <=> $sum(sK3,-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1178])])). 119.69/119.00 tff(f14509,plain,( 119.69/119.00 spl8_1304 <=> ! [X18 : uni,X20 : ty,X22 : uni,X17 : uni,X19 : $int,X21 : uni,X23 : uni] : (tb2t(some(int,t2tb2(X19))) != tb2t(nth1(int,$sum(sK3,-2),X18)) | ~zero_at1(tb2t1(cons(int,X23,cons(int,X17,X18))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X20,$sum(X19,-1),X21) = nth1(X20,X19,cons(X20,X22,X21)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1304])])). 119.69/119.00 tff(f14491,plain,( 119.69/119.00 ( ! [X94:uni,X99:uni,X97:ty,X95:uni,X100:uni,X98:uni,X96:$int] : (tb2t(some(int,t2tb2(X96))) != tb2t(nth1(int,$sum(sK3,-2),X95)) | nth1(X97,$sum(X96,-1),X98) = nth1(X97,X96,cons(X97,X99,X98)) | ~zero_at1(tb2t1(cons(int,X100,cons(int,X94,X95))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum(sK3,-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_426 | ~spl8_888)), 119.69/119.00 inference(evaluation,[],[f14489])). 119.69/119.00 tff(f14489,plain,( 119.69/119.00 ( ! [X94:uni,X99:uni,X97:ty,X95:uni,X100:uni,X98:uni,X96:$int] : (tb2t(some(int,t2tb2(X96))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X95)) | nth1(X97,$sum(X96,-1),X98) = nth1(X97,X96,cons(X97,X99,X98)) | ~zero_at1(tb2t1(cons(int,X100,cons(int,X94,X95))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum(sK3,-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_426 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f3279,f9678])). 119.69/119.00 tff(f14533,plain,( 119.69/119.00 spl8_1164 | spl8_1304 | ~spl8_120 | ~spl8_426 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14492,f8032,f3278,f954,f14509,f12209])). 119.69/119.00 tff(f12209,plain,( 119.69/119.00 spl8_1164 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1164])])). 119.69/119.00 tff(f14492,plain,( 119.69/119.00 ( ! [X92:uni,X90:ty,X88:uni,X87:uni,X93:uni,X91:uni,X89:$int] : (tb2t(some(int,t2tb2(X89))) != tb2t(nth1(int,$sum(sK3,-2),X88)) | nth1(X90,$sum(X89,-1),X91) = nth1(X90,X89,cons(X90,X92,X91)) | ~zero_at1(tb2t1(cons(int,X93,cons(int,X87,X88))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1))))) ) | (~spl8_120 | ~spl8_426 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14488])). 119.69/119.00 tff(f14488,plain,( 119.69/119.00 ( ! [X92:uni,X90:ty,X88:uni,X87:uni,X93:uni,X91:uni,X89:$int] : (tb2t(some(int,t2tb2(X89))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X88)) | nth1(X90,$sum(X89,-1),X91) = nth1(X90,X89,cons(X90,X92,X91)) | ~zero_at1(tb2t1(cons(int,X93,cons(int,X87,X88))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1))))) ) | (~spl8_120 | ~spl8_426 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3279,f9012])). 119.69/119.00 tff(f14532,plain,( 119.69/119.00 spl8_1312 | spl8_1304 | ~spl8_426 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14493,f8032,f3278,f14509,f14530])). 119.69/119.00 tff(f14530,plain,( 119.69/119.00 spl8_1312 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1312])])). 119.69/119.00 tff(f14493,plain,( 119.69/119.00 ( ! [X80:uni,X85:uni,X83:ty,X81:uni,X86:uni,X84:uni,X82:$int] : (tb2t(some(int,t2tb2(X82))) != tb2t(nth1(int,$sum(sK3,-2),X81)) | nth1(X83,$sum(X82,-1),X84) = nth1(X83,X82,cons(X83,X85,X84)) | ~zero_at1(tb2t1(cons(int,X86,cons(int,X80,X81))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_426 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14487])). 119.69/119.00 tff(f14487,plain,( 119.69/119.00 ( ! [X80:uni,X85:uni,X83:ty,X81:uni,X86:uni,X84:uni,X82:$int] : (tb2t(some(int,t2tb2(X82))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X81)) | nth1(X83,$sum(X82,-1),X84) = nth1(X83,X82,cons(X83,X85,X84)) | ~zero_at1(tb2t1(cons(int,X86,cons(int,X80,X81))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_426 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3279,f8901])). 119.69/119.00 tff(f14528,plain,( 119.69/119.00 spl8_1310 | spl8_1304 | ~spl8_426 | ~spl8_890), 119.69/119.00 inference(avatar_split_clause,[],[f14494,f8091,f3278,f14509,f14526])). 119.69/119.00 tff(f14526,plain,( 119.69/119.00 spl8_1310 <=> some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1310])])). 119.69/119.00 tff(f14494,plain,( 119.69/119.00 ( ! [X78:uni,X76:ty,X74:uni,X79:uni,X77:uni,X75:$int,X73:uni] : (tb2t(some(int,t2tb2(X75))) != tb2t(nth1(int,$sum(sK3,-2),X74)) | nth1(X76,$sum(X75,-1),X77) = nth1(X76,X75,cons(X76,X78,X77)) | ~zero_at1(tb2t1(cons(int,X79,cons(int,X73,X74))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_426 | ~spl8_890)), 119.69/119.00 inference(evaluation,[],[f14486])). 119.69/119.00 tff(f14486,plain,( 119.69/119.00 ( ! [X78:uni,X76:ty,X74:uni,X79:uni,X77:uni,X75:$int,X73:uni] : (tb2t(some(int,t2tb2(X75))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X74)) | nth1(X76,$sum(X75,-1),X77) = nth1(X76,X75,cons(X76,X78,X77)) | ~zero_at1(tb2t1(cons(int,X79,cons(int,X73,X74))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_426 | ~spl8_890)), 119.69/119.00 inference(superposition,[],[f3279,f8112])). 119.69/119.00 tff(f14524,plain,( 119.69/119.00 spl8_1176 | spl8_1304 | ~spl8_120 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14495,f3278,f954,f14509,f12236])). 119.69/119.00 tff(f12236,plain,( 119.69/119.00 spl8_1176 <=> tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1176])])). 119.69/119.00 tff(f14495,plain,( 119.69/119.00 ( ! [X70:uni,X68:$int,X66:uni,X72:uni,X71:uni,X69:ty,X67:uni] : (tb2t(some(int,t2tb2(X68))) != tb2t(nth1(int,$sum(sK3,-2),X67)) | nth1(X69,$sum(X68,-1),X70) = nth1(X69,X68,cons(X69,X71,X70)) | ~zero_at1(tb2t1(cons(int,X72,cons(int,X66,X67))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14485])). 119.69/119.00 tff(f14485,plain,( 119.69/119.00 ( ! [X70:uni,X68:$int,X66:uni,X72:uni,X71:uni,X69:ty,X67:uni] : (tb2t(some(int,t2tb2(X68))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X67)) | nth1(X69,$sum(X68,-1),X70) = nth1(X69,X68,cons(X69,X71,X70)) | ~zero_at1(tb2t1(cons(int,X72,cons(int,X66,X67))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f8035])). 119.69/119.00 tff(f14523,plain,( 119.69/119.00 spl8_1174 | spl8_1304 | ~spl8_426 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f14496,f8032,f3278,f14509,f12232])). 119.69/119.00 tff(f12232,plain,( 119.69/119.00 spl8_1174 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1174])])). 119.69/119.00 tff(f14496,plain,( 119.69/119.00 ( ! [X61:$int,X59:uni,X64:uni,X62:ty,X60:uni,X65:uni,X63:uni] : (tb2t(some(int,t2tb2(X61))) != tb2t(nth1(int,$sum(sK3,-2),X60)) | nth1(X62,$sum(X61,-1),X63) = nth1(X62,X61,cons(X62,X64,X63)) | ~zero_at1(tb2t1(cons(int,X65,cons(int,X59,X60))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_426 | ~spl8_876)), 119.69/119.00 inference(evaluation,[],[f14484])). 119.69/119.00 tff(f14484,plain,( 119.69/119.00 ( ! [X61:$int,X59:uni,X64:uni,X62:ty,X60:uni,X65:uni,X63:uni] : (tb2t(some(int,t2tb2(X61))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X60)) | nth1(X62,$sum(X61,-1),X63) = nth1(X62,X61,cons(X62,X64,X63)) | ~zero_at1(tb2t1(cons(int,X65,cons(int,X59,X60))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_426 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3279,f8033])). 119.69/119.00 tff(f14522,plain,( 119.69/119.00 spl8_1308 | spl8_1304 | spl8_97 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14497,f3278,f878,f14509,f14520])). 119.69/119.00 tff(f14520,plain,( 119.69/119.00 spl8_1308 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1308])])). 119.69/119.00 tff(f14497,plain,( 119.69/119.00 ( ! [X57:uni,X54:$int,X52:uni,X58:uni,X56:uni,X55:ty,X53:uni] : (tb2t(some(int,t2tb2(X54))) != tb2t(nth1(int,$sum(sK3,-2),X53)) | nth1(X55,$sum(X54,-1),X56) = nth1(X55,X54,cons(X55,X57,X56)) | ~zero_at1(tb2t1(cons(int,X58,cons(int,X52,X53))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14483])). 119.69/119.00 tff(f14483,plain,( 119.69/119.00 ( ! [X57:uni,X54:$int,X52:uni,X58:uni,X56:uni,X55:ty,X53:uni] : (tb2t(some(int,t2tb2(X54))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X53)) | nth1(X55,$sum(X54,-1),X56) = nth1(X55,X54,cons(X55,X57,X56)) | ~zero_at1(tb2t1(cons(int,X58,cons(int,X52,X53))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f7558])). 119.69/119.00 tff(f14518,plain,( 119.69/119.00 spl8_1172 | spl8_1304 | ~spl8_44 | spl8_97 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14498,f3278,f878,f678,f14509,f12228])). 119.69/119.00 tff(f12228,plain,( 119.69/119.00 spl8_1172 <=> cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1172])])). 119.69/119.00 tff(f678,plain,( 119.69/119.00 spl8_44 <=> $less(sK6(tb2t1(nil(int))),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_44])])). 119.69/119.00 tff(f14498,plain,( 119.69/119.00 ( ! [X47:$int,X45:uni,X50:uni,X48:ty,X46:uni,X51:uni,X49:uni] : (tb2t(some(int,t2tb2(X47))) != tb2t(nth1(int,$sum(sK3,-2),X46)) | nth1(X48,$sum(X47,-1),X49) = nth1(X48,X47,cons(X48,X50,X49)) | ~zero_at1(tb2t1(cons(int,X51,cons(int,X45,X46))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14482])). 119.69/119.00 tff(f14482,plain,( 119.69/119.00 ( ! [X47:$int,X45:uni,X50:uni,X48:ty,X46:uni,X51:uni,X49:uni] : (tb2t(some(int,t2tb2(X47))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X46)) | nth1(X48,$sum(X47,-1),X49) = nth1(X48,X47,cons(X48,X50,X49)) | ~zero_at1(tb2t1(cons(int,X51,cons(int,X45,X46))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f6736])). 119.69/119.00 tff(f6736,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X7:uni,X5:$int] : (cons(int,t2tb2(X5),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X5),t2tb1(sK2))),t2tb1(sK2)) | nth1(X4,$sum(X5,-1),X6) = nth1(X4,X5,cons(X4,X7,X6))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.00 inference(forward_demodulation,[],[f6735,f273])). 119.69/119.00 tff(f6735,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X7:uni,X5:$int] : (cons(int,t2tb2(X5),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X5),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(X5),t2tb1(sK2)))) | nth1(X4,$sum(X5,-1),X6) = nth1(X4,X5,cons(X4,X7,X6))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.00 inference(forward_demodulation,[],[f6722,f234])). 119.69/119.00 tff(f6722,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X7:uni,X5:$int] : (nth1(X4,$sum(X5,-1),X6) = nth1(X4,X5,cons(X4,X7,X6)) | cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2(X5),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2(X5),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2(X5),t2tb1(sK2))))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.00 inference(resolution,[],[f5762,f1592])). 119.69/119.00 tff(f1592,plain,( 119.69/119.00 ( ! [X0:list_int] : ($less(sK6(X0),0) | cons(int,cons_proj_11(int,t2tb1(X0)),cons_proj_21(int,t2tb1(X0))) = t2tb1(X0)) ) | ~spl8_44), 119.69/119.00 inference(superposition,[],[f748,f236])). 119.69/119.00 tff(f748,plain,( 119.69/119.00 ( ! [X1:uni] : ($less(sK6(tb2t1(X1)),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_44), 119.69/119.00 inference(superposition,[],[f679,f260])). 119.69/119.00 tff(f679,plain,( 119.69/119.00 $less(sK6(tb2t1(nil(int))),0) | ~spl8_44), 119.69/119.00 inference(avatar_component_clause,[],[f678])). 119.69/119.00 tff(f5762,plain,( 119.69/119.00 ( ! [X14:uni,X12:ty,X15:uni,X13:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(X13),t2tb1(sK2)))),0) | nth1(X12,$sum(X13,-1),X14) = nth1(X12,X13,cons(X12,X15,X14))) ) | ~spl8_97), 119.69/119.00 inference(resolution,[],[f885,f248])). 119.69/119.00 tff(f14517,plain,( 119.69/119.00 spl8_1170 | spl8_1304 | spl8_97 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14499,f3278,f878,f14509,f12224])). 119.69/119.00 tff(f12224,plain,( 119.69/119.00 spl8_1170 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1170])])). 119.69/119.00 tff(f14499,plain,( 119.69/119.00 ( ! [X39:uni,X43:uni,X41:ty,X38:uni,X44:uni,X42:uni,X40:$int] : (tb2t(some(int,t2tb2(X40))) != tb2t(nth1(int,$sum(sK3,-2),X39)) | nth1(X41,$sum(X40,-1),X42) = nth1(X41,X40,cons(X41,X43,X42)) | ~zero_at1(tb2t1(cons(int,X44,cons(int,X38,X39))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14481])). 119.69/119.00 tff(f14481,plain,( 119.69/119.00 ( ! [X39:uni,X43:uni,X41:ty,X38:uni,X44:uni,X42:uni,X40:$int] : (tb2t(some(int,t2tb2(X40))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X39)) | nth1(X41,$sum(X40,-1),X42) = nth1(X41,X40,cons(X41,X43,X42)) | ~zero_at1(tb2t1(cons(int,X44,cons(int,X38,X39))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f5770])). 119.69/119.00 tff(f14516,plain,( 119.69/119.00 spl8_1306 | spl8_1304 | ~spl8_286 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14500,f3278,f1839,f14509,f14514])). 119.69/119.00 tff(f14514,plain,( 119.69/119.00 spl8_1306 <=> some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1306])])). 119.69/119.00 tff(f14500,plain,( 119.69/119.00 ( ! [X37:uni,X35:uni,X33:$int,X31:uni,X36:uni,X34:ty,X32:uni] : (tb2t(some(int,t2tb2(X33))) != tb2t(nth1(int,$sum(sK3,-2),X32)) | nth1(X34,$sum(X33,-1),X35) = nth1(X34,X33,cons(X34,X36,X35)) | ~zero_at1(tb2t1(cons(int,X37,cons(int,X31,X32))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14480])). 119.69/119.00 tff(f14480,plain,( 119.69/119.00 ( ! [X37:uni,X35:uni,X33:$int,X31:uni,X36:uni,X34:ty,X32:uni] : (tb2t(some(int,t2tb2(X33))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X32)) | nth1(X34,$sum(X33,-1),X35) = nth1(X34,X33,cons(X34,X36,X35)) | ~zero_at1(tb2t1(cons(int,X37,cons(int,X31,X32))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f2627])). 119.69/119.00 tff(f14512,plain,( 119.69/119.00 spl8_1166 | spl8_1304 | ~spl8_100 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14501,f3278,f895,f14509,f12213])). 119.69/119.00 tff(f12213,plain,( 119.69/119.00 spl8_1166 <=> tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1166])])). 119.69/119.00 tff(f14501,plain,( 119.69/119.00 ( ! [X30:uni,X28:uni,X26:$int,X24:uni,X29:uni,X27:ty,X25:uni] : (tb2t(some(int,t2tb2(X26))) != tb2t(nth1(int,$sum(sK3,-2),X25)) | nth1(X27,$sum(X26,-1),X28) = nth1(X27,X26,cons(X27,X29,X28)) | ~zero_at1(tb2t1(cons(int,X30,cons(int,X24,X25))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_426)), 119.69/119.00 inference(evaluation,[],[f14479])). 119.69/119.00 tff(f14479,plain,( 119.69/119.00 ( ! [X30:uni,X28:uni,X26:$int,X24:uni,X29:uni,X27:ty,X25:uni] : (tb2t(some(int,t2tb2(X26))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X25)) | nth1(X27,$sum(X26,-1),X28) = nth1(X27,X26,cons(X27,X29,X28)) | ~zero_at1(tb2t1(cons(int,X30,cons(int,X24,X25))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f1857])). 119.69/119.00 tff(f14511,plain,( 119.69/119.00 spl8_352 | spl8_1304 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14502,f3278,f14509,f2520])). 119.69/119.00 tff(f2520,plain,( 119.69/119.00 spl8_352 <=> 1 = sK3), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_352])])). 119.69/119.00 tff(f14502,plain,( 119.69/119.00 ( ! [X23:uni,X21:uni,X19:$int,X17:uni,X22:uni,X20:ty,X18:uni] : (tb2t(some(int,t2tb2(X19))) != tb2t(nth1(int,$sum(sK3,-2),X18)) | nth1(X20,$sum(X19,-1),X21) = nth1(X20,X19,cons(X20,X22,X21)) | ~zero_at1(tb2t1(cons(int,X23,cons(int,X17,X18))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 1 = sK3) ) | ~spl8_426), 119.69/119.00 inference(evaluation,[],[f14478])). 119.69/119.00 tff(f14478,plain,( 119.69/119.00 ( ! [X23:uni,X21:uni,X19:$int,X17:uni,X22:uni,X20:ty,X18:uni] : (tb2t(some(int,t2tb2(X19))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X18)) | nth1(X20,$sum(X19,-1),X21) = nth1(X20,X19,cons(X20,X22,X21)) | ~zero_at1(tb2t1(cons(int,X23,cons(int,X17,X18))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 0 = $sum(sK3,-1)) ) | ~spl8_426), 119.69/119.00 inference(superposition,[],[f3279,f287])). 119.69/119.00 tff(f14507,plain,( 119.69/119.00 spl8_550 | spl8_1302 | ~spl8_100 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14476,f3278,f895,f14504,f4939])). 119.69/119.00 tff(f4939,plain,( 119.69/119.00 spl8_550 <=> tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_550])])). 119.69/119.00 tff(f14504,plain,( 119.69/119.00 spl8_1302 <=> ! [X1 : $int,X3 : uni,X5 : uni,X0 : uni,X2 : ty,X4 : uni] : (tb2t(some(int,t2tb2(X1))) != tb2t(nth1(int,sK3,X0)) | nil(int) = X0 | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X0))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1302])])). 119.69/119.00 tff(f14476,plain,( 119.69/119.00 ( ! [X6:uni,X10:uni,X8:ty,X7:$int,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(X7))) != tb2t(nth1(int,sK3,X6)) | nth1(X8,$sum(X7,-1),X9) = nth1(X8,X7,cons(X8,X10,X9)) | ~zero_at1(tb2t1(cons(int,X11,cons_proj_21(int,X6))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) | nil(int) = X6) ) | (~spl8_100 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f3291])). 119.69/119.00 tff(f14506,plain,( 119.69/119.00 spl8_1252 | spl8_1302 | spl8_97 | ~spl8_426), 119.69/119.00 inference(avatar_split_clause,[],[f14475,f3278,f878,f14504,f13129])). 119.69/119.00 tff(f13129,plain,( 119.69/119.00 spl8_1252 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1252])])). 119.69/119.00 tff(f14475,plain,( 119.69/119.00 ( ! [X4:uni,X2:ty,X0:uni,X5:uni,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(X1))) != tb2t(nth1(int,sK3,X0)) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X0))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) | nil(int) = X0) ) | (~spl8_97 | ~spl8_426)), 119.69/119.00 inference(superposition,[],[f3279,f7448])). 119.69/119.00 tff(f7448,plain,( 119.69/119.00 ( ! [X2:$int,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(X2),t2tb1(sK2)))),cons(int,t2tb2(X2),t2tb1(sK2)))) | nth1(X0,X2,X1) = nth1(X0,$sum(X2,-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_97), 119.69/119.00 inference(superposition,[],[f5770,f260])). 119.69/119.00 tff(f14461,plain,( 119.69/119.00 ~spl8_53 | spl8_1300 | ~spl8_160 | ~spl8_998), 119.69/119.00 inference(avatar_split_clause,[],[f14414,f9973,f1116,f14432,f14429])). 119.69/119.00 tff(f14429,plain,( 119.69/119.00 spl8_53 <=> ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_53])])). 119.69/119.00 tff(f14414,plain,( 119.69/119.00 ( ! [X0:uni] : (~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2)))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_160 | ~spl8_998)), 119.69/119.00 inference(trivial_inequality_removal,[],[f14409])). 119.69/119.00 tff(f14409,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2)))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_160 | ~spl8_998)), 119.69/119.00 inference(superposition,[],[f9974,f1117])). 119.69/119.00 tff(f14434,plain,( 119.69/119.00 ~spl8_53 | spl8_1300 | ~spl8_614 | ~spl8_998), 119.69/119.00 inference(avatar_split_clause,[],[f14427,f9973,f5321,f14432,f14429])). 119.69/119.00 tff(f14427,plain,( 119.69/119.00 ( ! [X0:uni] : (~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2)))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_614 | ~spl8_998)), 119.69/119.00 inference(trivial_inequality_removal,[],[f14391])). 119.69/119.00 tff(f14391,plain,( 119.69/119.00 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~no_zero1(tb2t1(cons(int,X0,t2tb1(sK2)))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_614 | ~spl8_998)), 119.69/119.00 inference(superposition,[],[f9974,f5322])). 119.69/119.00 tff(f14093,plain,( 119.69/119.00 spl8_550 | spl8_1298 | ~spl8_100 | ~spl8_236), 119.69/119.00 inference(avatar_split_clause,[],[f14048,f1606,f895,f14091,f4939])). 119.69/119.00 tff(f14091,plain,( 119.69/119.00 spl8_1298 <=> ! [X15 : uni,X14 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X14)) | nil(int) = X14 | ~zero_at1(tb2t1(cons(int,X15,cons_proj_21(int,X14))),sK0))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1298])])). 119.69/119.00 tff(f14048,plain,( 119.69/119.00 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X14)) | ~zero_at1(tb2t1(cons(int,X15,cons_proj_21(int,X14))),sK0) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) | nil(int) = X14) ) | (~spl8_100 | ~spl8_236)), 119.69/119.00 inference(superposition,[],[f1607,f3291])). 119.69/119.00 tff(f14089,plain,( 119.69/119.00 spl8_550 | spl8_1296 | ~spl8_100 | ~spl8_288), 119.69/119.00 inference(avatar_split_clause,[],[f14047,f1850,f895,f14087,f4939])). 119.69/119.00 tff(f14087,plain,( 119.69/119.00 spl8_1296 <=> ! [X13 : uni,X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X12)) | nil(int) = X12 | ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,X12))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1296])])). 119.69/119.00 tff(f1850,plain,( 119.69/119.00 spl8_288 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_288])])). 119.69/119.00 tff(f14047,plain,( 119.69/119.00 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X12)) | ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,X12))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) | nil(int) = X12) ) | (~spl8_100 | ~spl8_288)), 119.69/119.00 inference(superposition,[],[f1851,f3291])). 119.69/119.00 tff(f1851,plain,( 119.69/119.00 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_288), 119.69/119.00 inference(avatar_component_clause,[],[f1850])). 119.69/119.00 tff(f14085,plain,( 119.69/119.00 spl8_550 | spl8_1294 | ~spl8_100 | ~spl8_408), 119.69/119.00 inference(avatar_split_clause,[],[f14046,f3036,f895,f14083,f4939])). 119.69/119.00 tff(f14083,plain,( 119.69/119.00 spl8_1294 <=> ! [X9 : uni,X11 : uni,X7 : $int,X8 : ty,X10 : uni,X6 : uni] : (tb2t(some(int,t2tb2(X7))) != tb2t(nth1(int,sK3,X6)) | nil(int) = X6 | ~zero_at1(tb2t1(cons(int,X11,cons_proj_21(int,X6))),sK0) | nth1(X8,$sum(X7,-1),X9) = nth1(X8,X7,cons(X8,X10,X9)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1294])])). 119.69/119.00 tff(f14046,plain,( 119.69/119.00 ( ! [X6:uni,X10:uni,X8:ty,X7:$int,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(X7))) != tb2t(nth1(int,sK3,X6)) | nth1(X8,$sum(X7,-1),X9) = nth1(X8,X7,cons(X8,X10,X9)) | ~zero_at1(tb2t1(cons(int,X11,cons_proj_21(int,X6))),sK0) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) | nil(int) = X6) ) | (~spl8_100 | ~spl8_408)), 119.69/119.00 inference(superposition,[],[f3037,f3291])). 119.69/119.00 tff(f13991,plain,( 119.69/119.00 spl8_948 | spl8_1292 | ~spl8_944), 119.69/119.00 inference(avatar_split_clause,[],[f13983,f9304,f13989,f13986])). 119.69/119.00 tff(f13986,plain,( 119.69/119.00 spl8_948 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),0)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_948])])). 119.69/119.00 tff(f13989,plain,( 119.69/119.00 spl8_1292 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),t2tb1(X0))) | ~zero_at1(X0,1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1292])])). 119.69/119.00 tff(f9304,plain,( 119.69/119.00 spl8_944 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),1)), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_944])])). 119.69/119.00 tff(f13983,plain,( 119.69/119.00 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),t2tb1(X0))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),0) | ~zero_at1(X0,1)) ) | ~spl8_944), 119.69/119.00 inference(resolution,[],[f9305,f269])). 119.69/119.00 tff(f9305,plain,( 119.69/119.00 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),1) | ~spl8_944), 119.69/119.00 inference(avatar_component_clause,[],[f9304])). 119.69/119.00 tff(f13450,plain,( 119.69/119.00 spl8_600 | spl8_1274 | ~spl8_186 | ~spl8_910), 119.69/119.00 inference(avatar_split_clause,[],[f13438,f8416,f2831,f13448,f5287])). 119.69/119.00 tff(f5287,plain,( 119.69/119.00 spl8_600 <=> ! [X5 : ty,X7 : uni,X6 : uni] : nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_600])])). 119.69/119.00 tff(f13448,plain,( 119.69/119.00 spl8_1274 <=> ! [X143 : uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X143)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | nil(int) = X143 | zero_at1(tb2t1(cons_proj_21(int,X143)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X143)),cons_proj_21(int,cons_proj_21(int,X143))) = cons_proj_21(int,X143))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1274])])). 119.69/119.00 tff(f8416,plain,( 119.69/119.00 spl8_910 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_910])])). 119.69/119.00 tff(f13438,plain,( 119.69/119.00 ( ! [X146:uni,X144:ty,X145:uni,X143:uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X143)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,X143)),cons_proj_21(int,cons_proj_21(int,X143))) = cons_proj_21(int,X143) | zero_at1(tb2t1(cons_proj_21(int,X143)),0) | nth1(X144,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X145) = nth1(X144,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X144,X146,X145)) | nil(int) = X143) ) | (~spl8_186 | ~spl8_910)), 119.69/119.00 inference(evaluation,[],[f13415])). 119.69/119.00 tff(f13415,plain,( 119.69/119.00 ( ! [X146:uni,X144:ty,X145:uni,X143:uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X143)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,cons_proj_21(int,X143)),cons_proj_21(int,cons_proj_21(int,X143))) = cons_proj_21(int,X143) | zero_at1(tb2t1(cons_proj_21(int,X143)),0) | nth1(X144,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X145) = nth1(X144,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X144,X146,X145)) | nil(int) = X143) ) | (~spl8_186 | ~spl8_910)), 119.69/119.00 inference(superposition,[],[f2964,f8638])). 119.69/119.00 tff(f8638,plain,( 119.69/119.00 ( ! [X0:ty,X1:uni] : (nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X1) = nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_910), 119.69/119.00 inference(superposition,[],[f8417,f260])). 119.69/119.00 tff(f8417,plain,( 119.69/119.00 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | ~spl8_910), 119.69/119.00 inference(avatar_component_clause,[],[f8416])). 119.69/119.00 tff(f13376,plain,( 119.69/119.00 spl8_1272 | spl8_644 | spl8_97 | ~spl8_898), 119.69/119.00 inference(avatar_split_clause,[],[f13372,f8227,f878,f5441,f13374])). 119.69/119.00 tff(f13374,plain,( 119.69/119.00 spl8_1272 <=> ! [X5 : uni,X0 : $int,X4 : ty,X6 : uni] : (~$less(0,X0) | nth1(X4,$sum(X0,-1),X5) = nth1(X4,X0,cons(X4,X6,X5)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1272])])). 119.69/119.00 tff(f13372,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X2:uni,X0:$int,X5:uni,X3:uni,X1:ty] : (some(X1,X3) = nth1(X1,-1,X2) | ~$less(0,X0) | nth1(X4,$sum(X0,-1),X5) = nth1(X4,X0,cons(X4,X6,X5))) ) | (~spl8_97 | ~spl8_898)), 119.69/119.00 inference(forward_demodulation,[],[f13343,f285])). 119.69/119.00 tff(f13343,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X2:uni,X0:$int,X5:uni,X3:uni,X1:ty] : (~$less(0,X0) | nth1(X1,-1,X2) = nth1(X1,0,cons(X1,X3,X2)) | nth1(X4,$sum(X0,-1),X5) = nth1(X4,X0,cons(X4,X6,X5))) ) | (~spl8_97 | ~spl8_898)), 119.69/119.00 inference(evaluation,[],[f13342])). 119.69/119.00 tff(f13342,plain,( 119.69/119.00 ( ! [X6:uni,X4:ty,X2:uni,X0:$int,X5:uni,X3:uni,X1:ty] : (~$less(0,X0) | nth1(X1,$sum(0,-1),X2) = nth1(X1,0,cons(X1,X3,X2)) | nth1(X4,$sum(X0,-1),X5) = nth1(X4,X0,cons(X4,X6,X5))) ) | (~spl8_97 | ~spl8_898)), 119.69/119.00 inference(superposition,[],[f6731,f8228])). 119.69/119.00 tff(f6731,plain,( 119.69/119.00 ( ! [X6:uni,X4:uni,X2:ty,X0:$int,X7:uni,X5:ty,X3:uni,X1:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),X0) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | nth1(X5,$sum(X0,-1),X6) = nth1(X5,X0,cons(X5,X7,X6))) ) | ~spl8_97), 119.69/119.00 inference(superposition,[],[f5762,f287])). 119.69/119.00 tff(f13280,plain,( 119.69/119.00 spl8_1148 | spl8_1264 | ~spl8_888 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13248,f9969,f8079,f13260,f11501])). 119.69/119.00 tff(f11501,plain,( 119.69/119.00 spl8_1148 <=> $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1148])])). 119.69/119.00 tff(f13260,plain,( 119.69/119.00 spl8_1264 <=> ! [X9 : uni,X7 : uni,X8 : uni,X10 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X8)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X10) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),X10))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1264])])). 119.69/119.00 tff(f13248,plain,( 119.69/119.00 ( ! [X45:uni,X43:uni,X46:$int,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X44)) | ~zero_at1(tb2t1(cons(int,X45,cons(int,X43,X44))),X46) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X46) | $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_888 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13241])). 119.69/119.00 tff(f13241,plain,( 119.69/119.00 ( ! [X45:uni,X43:uni,X46:$int,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X44)) | ~zero_at1(tb2t1(cons(int,X45,cons(int,X43,X44))),X46) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X46) | $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_888 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f9678])). 119.69/119.00 tff(f13279,plain,( 119.69/119.00 spl8_606 | spl8_1264 | ~spl8_120 | ~spl8_876 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13249,f9969,f8032,f954,f13260,f11474])). 119.69/119.00 tff(f11474,plain,( 119.69/119.00 spl8_606 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_606])])). 119.69/119.00 tff(f13249,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X42:$int,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X40)) | ~zero_at1(tb2t1(cons(int,X41,cons(int,X39,X40))),X42) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X42) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))) ) | (~spl8_120 | ~spl8_876 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13240])). 119.69/119.00 tff(f13240,plain,( 119.69/119.00 ( ! [X39:uni,X41:uni,X42:$int,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X40)) | ~zero_at1(tb2t1(cons(int,X41,cons(int,X39,X40))),X42) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X42) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))) ) | (~spl8_120 | ~spl8_876 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f9012])). 119.69/119.00 tff(f13278,plain,( 119.69/119.00 spl8_1146 | spl8_1264 | ~spl8_120 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13250,f9969,f954,f13260,f11497])). 119.69/119.00 tff(f11497,plain,( 119.69/119.00 spl8_1146 <=> tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1146])])). 119.69/119.00 tff(f13250,plain,( 119.69/119.00 ( ! [X37:uni,X35:uni,X38:$int,X36:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X36)) | ~zero_at1(tb2t1(cons(int,X37,cons(int,X35,X36))),X38) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X38) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13239])). 119.69/119.00 tff(f13239,plain,( 119.69/119.00 ( ! [X37:uni,X35:uni,X38:$int,X36:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X36)) | ~zero_at1(tb2t1(cons(int,X37,cons(int,X35,X36))),X38) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X38) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f8035])). 119.69/119.00 tff(f13277,plain,( 119.69/119.00 spl8_1144 | spl8_1264 | ~spl8_876 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13251,f9969,f8032,f13260,f11493])). 119.69/119.00 tff(f11493,plain,( 119.69/119.00 spl8_1144 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1144])])). 119.69/119.00 tff(f13251,plain,( 119.69/119.00 ( ! [X33:uni,X31:uni,X34:$int,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X32)) | ~zero_at1(tb2t1(cons(int,X33,cons(int,X31,X32))),X34) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X34) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_876 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13238])). 119.69/119.00 tff(f13238,plain,( 119.69/119.00 ( ! [X33:uni,X31:uni,X34:$int,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X32)) | ~zero_at1(tb2t1(cons(int,X33,cons(int,X31,X32))),X34) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X34) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_876 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f8033])). 119.69/119.00 tff(f13276,plain,( 119.69/119.00 spl8_1270 | spl8_1264 | spl8_97 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13252,f9969,f878,f13260,f13274])). 119.69/119.00 tff(f13274,plain,( 119.69/119.00 spl8_1270 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1270])])). 119.69/119.00 tff(f13252,plain,( 119.69/119.00 ( ! [X30:$int,X28:uni,X29:uni,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X28)) | ~zero_at1(tb2t1(cons(int,X29,cons(int,X27,X28))),X30) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X30) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13237])). 119.69/119.00 tff(f13237,plain,( 119.69/119.00 ( ! [X30:$int,X28:uni,X29:uni,X27:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X28)) | ~zero_at1(tb2t1(cons(int,X29,cons(int,X27,X28))),X30) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X30) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f7558])). 119.69/119.00 tff(f13272,plain,( 119.69/119.00 spl8_1268 | spl8_1264 | ~spl8_44 | spl8_97 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13253,f9969,f878,f678,f13260,f13270])). 119.69/119.00 tff(f13270,plain,( 119.69/119.00 spl8_1268 <=> cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1268])])). 119.69/119.00 tff(f13253,plain,( 119.69/119.00 ( ! [X26:$int,X24:uni,X23:uni,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X24)) | ~zero_at1(tb2t1(cons(int,X25,cons(int,X23,X24))),X26) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X26) | cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13236])). 119.69/119.00 tff(f13236,plain,( 119.69/119.00 ( ! [X26:$int,X24:uni,X23:uni,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X24)) | ~zero_at1(tb2t1(cons(int,X25,cons(int,X23,X24))),X26) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X26) | cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f6736])). 119.69/119.00 tff(f13268,plain,( 119.69/119.00 spl8_1142 | spl8_1264 | spl8_97 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13254,f9969,f878,f13260,f11489])). 119.69/119.00 tff(f11489,plain,( 119.69/119.00 spl8_1142 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1142])])). 119.69/119.00 tff(f13254,plain,( 119.69/119.00 ( ! [X21:uni,X19:uni,X22:$int,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X20)) | ~zero_at1(tb2t1(cons(int,X21,cons(int,X19,X20))),X22) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X22) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13235])). 119.69/119.00 tff(f13235,plain,( 119.69/119.00 ( ! [X21:uni,X19:uni,X22:$int,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X20)) | ~zero_at1(tb2t1(cons(int,X21,cons(int,X19,X20))),X22) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X22) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f5770])). 119.69/119.00 tff(f13267,plain,( 119.69/119.00 spl8_1266 | spl8_1264 | ~spl8_286 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13255,f9969,f1839,f13260,f13265])). 119.69/119.00 tff(f13265,plain,( 119.69/119.00 spl8_1266 <=> some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1266])])). 119.69/119.00 tff(f13255,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X18:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X16)) | ~zero_at1(tb2t1(cons(int,X17,cons(int,X15,X16))),X18) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X18) | some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13234])). 119.69/119.00 tff(f13234,plain,( 119.69/119.00 ( ! [X17:uni,X15:uni,X18:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X16)) | ~zero_at1(tb2t1(cons(int,X17,cons(int,X15,X16))),X18) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X18) | some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_286 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f2627])). 119.69/119.00 tff(f13263,plain,( 119.69/119.00 spl8_1138 | spl8_1264 | ~spl8_100 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13256,f9969,f895,f13260,f11478])). 119.69/119.00 tff(f11478,plain,( 119.69/119.00 spl8_1138 <=> tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1138])])). 119.69/119.00 tff(f13256,plain,( 119.69/119.00 ( ! [X14:$int,X12:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X12)) | ~zero_at1(tb2t1(cons(int,X13,cons(int,X11,X12))),X14) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X14) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_996)), 119.69/119.00 inference(evaluation,[],[f13233])). 119.69/119.00 tff(f13233,plain,( 119.69/119.00 ( ! [X14:$int,X12:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X12)) | ~zero_at1(tb2t1(cons(int,X13,cons(int,X11,X12))),X14) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X14) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_996)), 119.69/119.00 inference(superposition,[],[f9970,f1857])). 119.69/119.00 tff(f13262,plain,( 119.69/119.00 spl8_1134 | spl8_1264 | ~spl8_996), 119.69/119.00 inference(avatar_split_clause,[],[f13257,f9969,f13260,f11465])). 119.69/119.00 tff(f11465,plain,( 119.69/119.00 spl8_1134 <=> 1 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1134])])). 119.69/119.00 tff(f13257,plain,( 119.69/119.00 ( ! [X10:$int,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),X10) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X10) | 1 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_996), 119.69/119.00 inference(evaluation,[],[f13232])). 119.69/119.00 tff(f13232,plain,( 119.69/119.00 ( ! [X10:$int,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),X10) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X10) | 0 = $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) ) | ~spl8_996), 119.69/119.00 inference(superposition,[],[f9970,f287])). 119.69/119.00 tff(f13152,plain,( 119.69/119.00 spl8_1262 | spl8_1248 | ~spl8_104 | ~spl8_888), 119.69/119.00 inference(avatar_split_clause,[],[f13117,f8079,f908,f13120,f13150])). 119.69/119.00 tff(f13150,plain,( 119.69/119.00 spl8_1262 <=> sK3 = sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1262])])). 119.69/119.00 tff(f13120,plain,( 119.69/119.00 spl8_1248 <=> ! [X9 : uni,X5 : uni,X7 : ty,X8 : uni,X4 : uni,X6 : uni] : (tb2t(some(int,X6)) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(tb2t2(X6),-1),X8) = nth1(X7,tb2t2(X6),cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1248])])). 119.69/119.00 tff(f13117,plain,( 119.69/119.00 ( ! [X61:ty,X59:uni,X62:uni,X60:uni,X58:uni,X63:uni] : (tb2t(some(int,X60)) != tb2t(nth1(int,$sum(sK3,-1),X59)) | ~zero_at1(tb2t1(cons(int,X58,X59)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X61,$sum(tb2t2(X60),-1),X62) = nth1(X61,tb2t2(X60),cons(X61,X63,X62)) | sK3 = sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.00 inference(superposition,[],[f3269,f9678])). 119.69/119.00 tff(f13148,plain,( 119.69/119.00 spl8_548 | spl8_1248 | ~spl8_104 | ~spl8_120 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f13116,f8032,f954,f908,f13120,f4935])). 119.69/119.00 tff(f4935,plain,( 119.69/119.00 spl8_548 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK3)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_548])])). 119.69/119.00 tff(f13116,plain,( 119.69/119.00 ( ! [X57:uni,X54:uni,X52:uni,X56:uni,X55:ty,X53:uni] : (tb2t(some(int,X54)) != tb2t(nth1(int,$sum(sK3,-1),X53)) | ~zero_at1(tb2t1(cons(int,X52,X53)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X55,$sum(tb2t2(X54),-1),X56) = nth1(X55,tb2t2(X54),cons(X55,X57,X56)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK3)))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3269,f9012])). 119.69/119.00 tff(f13147,plain,( 119.69/119.00 spl8_1260 | spl8_1248 | ~spl8_104 | ~spl8_120), 119.69/119.00 inference(avatar_split_clause,[],[f13115,f954,f908,f13120,f13145])). 119.69/119.00 tff(f13145,plain,( 119.69/119.00 spl8_1260 <=> tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK3),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1260])])). 119.69/119.00 tff(f13115,plain,( 119.69/119.00 ( ! [X47:uni,X50:uni,X48:uni,X46:uni,X51:uni,X49:ty] : (tb2t(some(int,X48)) != tb2t(nth1(int,$sum(sK3,-1),X47)) | ~zero_at1(tb2t1(cons(int,X46,X47)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X49,$sum(tb2t2(X48),-1),X50) = nth1(X49,tb2t2(X48),cons(X49,X51,X50)) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.00 inference(superposition,[],[f3269,f8035])). 119.69/119.00 tff(f13143,plain,( 119.69/119.00 spl8_1258 | spl8_1248 | ~spl8_104 | ~spl8_876), 119.69/119.00 inference(avatar_split_clause,[],[f13114,f8032,f908,f13120,f13141])). 119.69/119.00 tff(f13141,plain,( 119.69/119.00 spl8_1258 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK3),t2tb1(sK2))))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1258])])). 119.69/119.00 tff(f13114,plain,( 119.69/119.00 ( ! [X45:uni,X43:ty,X41:uni,X44:uni,X42:uni,X40:uni] : (tb2t(some(int,X42)) != tb2t(nth1(int,$sum(sK3,-1),X41)) | ~zero_at1(tb2t1(cons(int,X40,X41)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X43,$sum(tb2t2(X42),-1),X44) = nth1(X43,tb2t2(X42),cons(X43,X45,X44)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.00 inference(superposition,[],[f3269,f8033])). 119.69/119.00 tff(f13139,plain,( 119.69/119.00 spl8_1256 | spl8_1248 | spl8_97 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f13113,f908,f878,f13120,f13137])). 119.69/119.00 tff(f13137,plain,( 119.69/119.00 spl8_1256 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1256])])). 119.69/119.00 tff(f13113,plain,( 119.69/119.00 ( ! [X39:uni,X37:ty,X35:uni,X38:uni,X36:uni,X34:uni] : (tb2t(some(int,X36)) != tb2t(nth1(int,$sum(sK3,-1),X35)) | ~zero_at1(tb2t1(cons(int,X34,X35)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X37,$sum(tb2t2(X36),-1),X38) = nth1(X37,tb2t2(X36),cons(X37,X39,X38)) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3269,f7558])). 119.69/119.00 tff(f13135,plain,( 119.69/119.00 spl8_1254 | spl8_1248 | ~spl8_44 | spl8_97 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f13112,f908,f878,f678,f13120,f13133])). 119.69/119.00 tff(f13133,plain,( 119.69/119.00 spl8_1254 <=> cons(int,t2tb2(sK3),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK3),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1254])])). 119.69/119.00 tff(f13112,plain,( 119.69/119.00 ( ! [X30:uni,X28:uni,X33:uni,X31:ty,X29:uni,X32:uni] : (tb2t(some(int,X30)) != tb2t(nth1(int,$sum(sK3,-1),X29)) | ~zero_at1(tb2t1(cons(int,X28,X29)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X31,$sum(tb2t2(X30),-1),X32) = nth1(X31,tb2t2(X30),cons(X31,X33,X32)) | cons(int,t2tb2(sK3),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK3),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3269,f6736])). 119.69/119.00 tff(f13131,plain,( 119.69/119.00 spl8_1252 | spl8_1248 | spl8_97 | ~spl8_104), 119.69/119.00 inference(avatar_split_clause,[],[f13111,f908,f878,f13120,f13129])). 119.69/119.00 tff(f13111,plain,( 119.69/119.00 ( ! [X26:uni,X24:uni,X23:uni,X27:uni,X25:ty,X22:uni] : (tb2t(some(int,X24)) != tb2t(nth1(int,$sum(sK3,-1),X23)) | ~zero_at1(tb2t1(cons(int,X22,X23)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X25,$sum(tb2t2(X24),-1),X26) = nth1(X25,tb2t2(X24),cons(X25,X27,X26)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.00 inference(superposition,[],[f3269,f5770])). 119.69/119.00 tff(f13127,plain,( 119.69/119.00 spl8_1250 | spl8_1248 | ~spl8_104 | ~spl8_286), 119.69/119.00 inference(avatar_split_clause,[],[f13110,f1839,f908,f13120,f13125])). 119.69/119.00 tff(f13125,plain,( 119.69/119.00 spl8_1250 <=> some(int,t2tb2(sK3)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))), 119.69/119.00 introduced(avatar_definition,[new_symbols(naming,[spl8_1250])])). 119.69/119.01 tff(f13110,plain,( 119.69/119.01 ( ! [X21:uni,X19:ty,X17:uni,X20:uni,X18:uni,X16:uni] : (tb2t(some(int,X18)) != tb2t(nth1(int,$sum(sK3,-1),X17)) | ~zero_at1(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X19,$sum(tb2t2(X18),-1),X20) = nth1(X19,tb2t2(X18),cons(X19,X21,X20)) | some(int,t2tb2(sK3)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.01 inference(superposition,[],[f3269,f2627])). 119.69/119.01 tff(f13123,plain,( 119.69/119.01 spl8_550 | spl8_1248 | ~spl8_100 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f13109,f908,f895,f13120,f4939])). 119.69/119.01 tff(f13109,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X10:uni,X15:uni,X13:ty,X11:uni] : (tb2t(some(int,X12)) != tb2t(nth1(int,$sum(sK3,-1),X11)) | ~zero_at1(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X13,$sum(tb2t2(X12),-1),X14) = nth1(X13,tb2t2(X12),cons(X13,X15,X14)) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.01 inference(superposition,[],[f3269,f1857])). 119.69/119.01 tff(f13122,plain,( 119.69/119.01 spl8_234 | spl8_1248 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f13108,f908,f13120,f1603])). 119.69/119.01 tff(f13108,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,X6)) != tb2t(nth1(int,$sum(sK3,-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X7,$sum(tb2t2(X6),-1),X8) = nth1(X7,tb2t2(X6),cons(X7,X9,X8)) | 0 = sK3) ) | ~spl8_104), 119.69/119.01 inference(superposition,[],[f3269,f287])). 119.69/119.01 tff(f13104,plain,( 119.69/119.01 spl8_1246 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13100,f5576,f13102])). 119.69/119.01 tff(f13102,plain,( 119.69/119.01 spl8_1246 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1246])])). 119.69/119.01 tff(f13100,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_666), 119.69/119.01 inference(forward_demodulation,[],[f13033,f238])). 119.69/119.01 tff(f13033,plain,( 119.69/119.01 nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_666), 119.69/119.01 inference(superposition,[],[f238,f5577])). 119.69/119.01 tff(f13093,plain,( 119.69/119.01 ~spl8_1245 | spl8_1240 | spl8_145 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13038,f5576,f5433,f13084,f13091])). 119.69/119.01 tff(f13091,plain,( 119.69/119.01 spl8_1245 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1245])])). 119.69/119.01 tff(f13038,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (nth1(X3,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X4) = nth1(X3,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X3,X5,X4)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),0)) ) | (~spl8_145 | ~spl8_666)), 119.69/119.01 inference(trivial_inequality_removal,[],[f13024])). 119.69/119.01 tff(f13024,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X3,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X4) = nth1(X3,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X3,X5,X4)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),0)) ) | (~spl8_145 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5520,f5577])). 119.69/119.01 tff(f5520,plain,( 119.69/119.01 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X11,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X11),0)) ) | ~spl8_145), 119.69/119.01 inference(forward_demodulation,[],[f5517,f234])). 119.69/119.01 tff(f5517,plain,( 119.69/119.01 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X11),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X11,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_145), 119.69/119.01 inference(resolution,[],[f5453,f266])). 119.69/119.01 tff(f13089,plain,( 119.69/119.01 spl8_1240 | spl8_1242 | spl8_145 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13039,f5576,f5433,f13087,f13084])). 119.69/119.01 tff(f13087,plain,( 119.69/119.01 spl8_1242 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1242])])). 119.69/119.01 tff(f13039,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_666)), 119.69/119.01 inference(trivial_inequality_removal,[],[f13023])). 119.69/119.01 tff(f13023,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5522,f5577])). 119.69/119.01 tff(f5522,plain,( 119.69/119.01 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X15),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16))) ) | ~spl8_145), 119.69/119.01 inference(forward_demodulation,[],[f5521,f234])). 119.69/119.01 tff(f5521,plain,( 119.69/119.01 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X15),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_145), 119.69/119.01 inference(forward_demodulation,[],[f5518,f234])). 119.69/119.01 tff(f5518,plain,( 119.69/119.01 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X15),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_145), 119.69/119.01 inference(resolution,[],[f5453,f267])). 119.69/119.01 tff(f13082,plain,( 119.69/119.01 spl8_1238 | spl8_1220 | ~spl8_666 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f13022,f8079,f5576,f13044,f13080])). 119.69/119.01 tff(f13080,plain,( 119.69/119.01 spl8_1238 <=> sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1238])])). 119.69/119.01 tff(f13044,plain,( 119.69/119.01 spl8_1220 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1220])])). 119.69/119.01 tff(f13022,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | (~spl8_666 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f5577,f9678])). 119.69/119.01 tff(f13078,plain,( 119.69/119.01 spl8_1236 | spl8_1220 | ~spl8_120 | ~spl8_666 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f13021,f8032,f5576,f954,f13044,f13076])). 119.69/119.01 tff(f13076,plain,( 119.69/119.01 spl8_1236 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1236])])). 119.69/119.01 tff(f13021,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) | (~spl8_120 | ~spl8_666 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f5577,f9012])). 119.69/119.01 tff(f13074,plain,( 119.69/119.01 spl8_1234 | spl8_1220 | ~spl8_120 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13020,f5576,f954,f13044,f13072])). 119.69/119.01 tff(f13072,plain,( 119.69/119.01 spl8_1234 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1234])])). 119.69/119.01 tff(f13020,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f8035])). 119.69/119.01 tff(f13070,plain,( 119.69/119.01 spl8_1232 | spl8_1220 | ~spl8_666 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f13019,f8032,f5576,f13044,f13068])). 119.69/119.01 tff(f13068,plain,( 119.69/119.01 spl8_1232 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1232])])). 119.69/119.01 tff(f13019,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))) | (~spl8_666 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f5577,f8033])). 119.69/119.01 tff(f13066,plain,( 119.69/119.01 spl8_1230 | spl8_1220 | spl8_97 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13018,f5576,f878,f13044,f13064])). 119.69/119.01 tff(f13064,plain,( 119.69/119.01 spl8_1230 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1230])])). 119.69/119.01 tff(f13018,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))) | (~spl8_97 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f7558])). 119.69/119.01 tff(f13062,plain,( 119.69/119.01 spl8_1228 | spl8_1220 | ~spl8_44 | spl8_97 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13017,f5576,f878,f678,f13044,f13060])). 119.69/119.01 tff(f13060,plain,( 119.69/119.01 spl8_1228 <=> cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1228])])). 119.69/119.01 tff(f13017,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))),t2tb1(sK2)) | (~spl8_44 | ~spl8_97 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f6736])). 119.69/119.01 tff(f13058,plain,( 119.69/119.01 spl8_1226 | spl8_1220 | spl8_97 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13016,f5576,f878,f13044,f13056])). 119.69/119.01 tff(f13056,plain,( 119.69/119.01 spl8_1226 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1226])])). 119.69/119.01 tff(f13016,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))) | (~spl8_97 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f5770])). 119.69/119.01 tff(f13054,plain,( 119.69/119.01 spl8_1224 | spl8_1220 | ~spl8_286 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13015,f5576,f1839,f13044,f13052])). 119.69/119.01 tff(f13052,plain,( 119.69/119.01 spl8_1224 <=> some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1224])])). 119.69/119.01 tff(f13015,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))) | (~spl8_286 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f2627])). 119.69/119.01 tff(f13050,plain,( 119.69/119.01 spl8_1222 | spl8_1220 | ~spl8_100 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13014,f5576,f895,f13044,f13048])). 119.69/119.01 tff(f13048,plain,( 119.69/119.01 spl8_1222 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1222])])). 119.69/119.01 tff(f13014,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_666)), 119.69/119.01 inference(superposition,[],[f5577,f1857])). 119.69/119.01 tff(f13046,plain,( 119.69/119.01 spl8_1218 | spl8_1220 | ~spl8_666), 119.69/119.01 inference(avatar_split_clause,[],[f13013,f5576,f13044,f13041])). 119.69/119.01 tff(f13041,plain,( 119.69/119.01 spl8_1218 <=> 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1218])])). 119.69/119.01 tff(f13013,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | ~spl8_666), 119.69/119.01 inference(superposition,[],[f5577,f287])). 119.69/119.01 tff(f13005,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | ~spl8_68 | spl8_145), 119.69/119.01 inference(avatar_split_clause,[],[f8243,f5433,f773,f5568,f5565])). 119.69/119.01 tff(f5565,plain,( 119.69/119.01 spl8_661 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_661])])). 119.69/119.01 tff(f773,plain,( 119.69/119.01 spl8_68 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_68])])). 119.69/119.01 tff(f8243,plain,( 119.69/119.01 ( ! [X17:uni,X15:ty,X16:uni] : (nth1(X15,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X16) = nth1(X15,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X15,X17,X16)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(trivial_inequality_removal,[],[f5894])). 119.69/119.01 tff(f5894,plain,( 119.69/119.01 ( ! [X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X15,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X16) = nth1(X15,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X15,X17,X16)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(superposition,[],[f5520,f774])). 119.69/119.01 tff(f774,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_68), 119.69/119.01 inference(avatar_component_clause,[],[f773])). 119.69/119.01 tff(f13004,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | spl8_145 | ~spl8_670), 119.69/119.01 inference(avatar_split_clause,[],[f8242,f5594,f5433,f5568,f5565])). 119.69/119.01 tff(f5594,plain,( 119.69/119.01 spl8_670 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_670])])). 119.69/119.01 tff(f8242,plain,( 119.69/119.01 ( ! [X6:ty,X8:uni,X7:uni] : (nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(trivial_inequality_removal,[],[f5884])). 119.69/119.01 tff(f5884,plain,( 119.69/119.01 ( ! [X6:ty,X8:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(superposition,[],[f5520,f5595])). 119.69/119.01 tff(f5595,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_670), 119.69/119.01 inference(avatar_component_clause,[],[f5594])). 119.69/119.01 tff(f13003,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | spl8_145 | ~spl8_670), 119.69/119.01 inference(avatar_split_clause,[],[f5898,f5594,f5433,f5568,f5565])). 119.69/119.01 tff(f5898,plain,( 119.69/119.01 ( ! [X6:ty,X8:uni,X7:uni] : (nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(trivial_inequality_removal,[],[f5884])). 119.69/119.01 tff(f13002,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | ~spl8_68 | spl8_145), 119.69/119.01 inference(avatar_split_clause,[],[f5895,f5433,f773,f5568,f5565])). 119.69/119.01 tff(f5895,plain,( 119.69/119.01 ( ! [X17:uni,X15:ty,X16:uni] : (nth1(X15,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X16) = nth1(X15,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X15,X17,X16)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(trivial_inequality_removal,[],[f5894])). 119.69/119.01 tff(f13001,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | spl8_145 | ~spl8_670), 119.69/119.01 inference(avatar_split_clause,[],[f8409,f5594,f5433,f5568,f5565])). 119.69/119.01 tff(f8409,plain,( 119.69/119.01 ( ! [X14:uni,X12:ty,X13:uni] : (nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8388])). 119.69/119.01 tff(f8388,plain,( 119.69/119.01 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(superposition,[],[f5520,f5595])). 119.69/119.01 tff(f13000,plain,( 119.69/119.01 ~spl8_661 | spl8_662 | ~spl8_68 | spl8_145), 119.69/119.01 inference(avatar_split_clause,[],[f8404,f5433,f773,f5568,f5565])). 119.69/119.01 tff(f8404,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:ty] : (nth1(X25,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X26) = nth1(X25,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X25,X27,X26)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8403])). 119.69/119.01 tff(f8403,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X25,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X26) = nth1(X25,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X25,X27,X26)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(superposition,[],[f5520,f774])). 119.69/119.01 tff(f12999,plain,( 119.69/119.01 spl8_662 | spl8_666 | spl8_145 | ~spl8_670), 119.69/119.01 inference(avatar_split_clause,[],[f8443,f5594,f5433,f5576,f5568])). 119.69/119.01 tff(f8443,plain,( 119.69/119.01 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13))) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8422])). 119.69/119.01 tff(f8422,plain,( 119.69/119.01 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13))) ) | (~spl8_145 | ~spl8_670)), 119.69/119.01 inference(superposition,[],[f5522,f5595])). 119.69/119.01 tff(f12998,plain,( 119.69/119.01 spl8_662 | spl8_666 | ~spl8_68 | spl8_145), 119.69/119.01 inference(avatar_split_clause,[],[f8438,f5433,f773,f5576,f5568])). 119.69/119.01 tff(f8438,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X25,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X26) = nth1(X25,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X25,X27,X26))) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8437])). 119.69/119.01 tff(f8437,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X25,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X26) = nth1(X25,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X25,X27,X26))) ) | (~spl8_68 | ~spl8_145)), 119.69/119.01 inference(superposition,[],[f5522,f774])). 119.69/119.01 tff(f12997,plain,( 119.69/119.01 spl8_66 | spl8_1216 | ~spl8_12 | ~spl8_662), 119.69/119.01 inference(avatar_split_clause,[],[f12993,f5568,f751,f12995,f985])). 119.69/119.01 tff(f985,plain,( 119.69/119.01 spl8_66 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_66])])). 119.69/119.01 tff(f12995,plain,( 119.69/119.01 spl8_1216 <=> ! [X75 : uni,X74 : uni] : (cons(int,X74,X75) = cons(int,cons_proj_11(int,cons(int,X74,X75)),X75) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X75)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X75))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1216])])). 119.69/119.01 tff(f12993,plain,( 119.69/119.01 ( ! [X74:uni,X75:uni] : (cons(int,X74,X75) = cons(int,cons_proj_11(int,cons(int,X74,X75)),X75) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X75))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X75)) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | (~spl8_12 | ~spl8_662)), 119.69/119.01 inference(forward_demodulation,[],[f12992,f273])). 119.69/119.01 tff(f12992,plain,( 119.69/119.01 ( ! [X74:uni,X75:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X75))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X75)) | cons(int,X74,X75) = cons(int,cons_proj_11(int,cons(int,X74,X75)),cons_proj_21(int,cons(int,X74,X75))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | (~spl8_12 | ~spl8_662)), 119.69/119.01 inference(forward_demodulation,[],[f12983,f244])). 119.69/119.01 tff(f12983,plain,( 119.69/119.01 ( ! [X74:uni,X75:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X75)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X74,X75))) | cons(int,X74,X75) = cons(int,cons_proj_11(int,cons(int,X74,X75)),cons_proj_21(int,cons(int,X74,X75))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | (~spl8_12 | ~spl8_662)), 119.69/119.01 inference(superposition,[],[f2241,f5569])). 119.69/119.01 tff(f5569,plain,( 119.69/119.01 ( ! [X6:ty,X8:uni,X7:uni] : (nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7))) ) | ~spl8_662), 119.69/119.01 inference(avatar_component_clause,[],[f5568])). 119.69/119.01 tff(f12990,plain,( 119.69/119.01 spl8_1214 | ~spl8_330 | ~spl8_662), 119.69/119.01 inference(avatar_split_clause,[],[f12964,f5568,f2348,f12988])). 119.69/119.01 tff(f12988,plain,( 119.69/119.01 spl8_1214 <=> nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1214])])). 119.69/119.01 tff(f12964,plain,( 119.69/119.01 nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(sK2)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_662)), 119.69/119.01 inference(superposition,[],[f5569,f2349])). 119.69/119.01 tff(f12950,plain,( 119.69/119.01 spl8_1150 | spl8_146 | ~spl8_100 | ~spl8_160 | ~spl8_664 | ~spl8_910 | ~spl8_934), 119.69/119.01 inference(avatar_split_clause,[],[f12949,f8727,f8416,f5571,f1116,f895,f5963,f11604])). 119.69/119.01 tff(f11604,plain,( 119.69/119.01 spl8_1150 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1150])])). 119.69/119.01 tff(f5963,plain,( 119.69/119.01 spl8_146 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_146])])). 119.69/119.01 tff(f5571,plain,( 119.69/119.01 spl8_664 <=> cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_664])])). 119.69/119.01 tff(f12949,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK1))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_100 | ~spl8_160 | ~spl8_664 | ~spl8_910 | ~spl8_934)), 119.69/119.01 inference(forward_demodulation,[],[f12948,f8728])). 119.69/119.01 tff(f12948,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_100 | ~spl8_160 | ~spl8_664 | ~spl8_910)), 119.69/119.01 inference(forward_demodulation,[],[f12947,f1117])). 119.69/119.01 tff(f12947,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_100 | ~spl8_664 | ~spl8_910)), 119.69/119.01 inference(forward_demodulation,[],[f12892,f8417])). 119.69/119.01 tff(f12892,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_100 | ~spl8_664)), 119.69/119.01 inference(superposition,[],[f3285,f5572])). 119.69/119.01 tff(f5572,plain,( 119.69/119.01 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | ~spl8_664), 119.69/119.01 inference(avatar_component_clause,[],[f5571])). 119.69/119.01 tff(f3285,plain,( 119.69/119.01 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (tb2t(some(int,X0)) = tb2t(nth1(int,sK6(tb2t1(cons(int,X0,t2tb1(sK2)))),cons(int,X0,t2tb1(sK2)))) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_100), 119.69/119.01 inference(superposition,[],[f1857,f237])). 119.69/119.01 tff(f12889,plain,( 119.69/119.01 spl8_1212 | ~spl8_1211 | spl8_185 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f12885,f8079,f1200,f12881,f12887])). 119.69/119.01 tff(f12887,plain,( 119.69/119.01 spl8_1212 <=> ! [X3 : list_int,X5 : ty,X7 : uni,X2 : $int,X4 : $int,X6 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X3))) | nth1(X5,$sum(X2,-1),X6) = nth1(X5,X2,cons(X5,X7,X6)) | ~zero_at1(X3,X4) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X4))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1212])])). 119.69/119.01 tff(f12881,plain,( 119.69/119.01 spl8_1211 <=> length1(int,t2tb1(sK2)) != -1), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1211])])). 119.69/119.01 tff(f12885,plain,( 119.69/119.01 ( ! [X6:uni,X4:$int,X2:$int,X7:uni,X5:ty,X3:list_int] : (length1(int,t2tb1(sK2)) != -1 | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X3))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(X3,X4) | nth1(X5,$sum(X2,-1),X6) = nth1(X5,X2,cons(X5,X7,X6))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(evaluation,[],[f12884])). 119.69/119.01 tff(f12884,plain,( 119.69/119.01 ( ! [X6:uni,X4:$int,X2:$int,X7:uni,X5:ty,X3:list_int] : (0 != $sum(1,length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X3))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(X3,X4) | nth1(X5,$sum(X2,-1),X6) = nth1(X5,X2,cons(X5,X7,X6))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(forward_demodulation,[],[f12869,f244])). 119.69/119.01 tff(f12869,plain,( 119.69/119.01 ( ! [X6:uni,X4:$int,X2:$int,X7:uni,X5:ty,X3:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X3))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(X3,X4) | length1(int,cons(int,t2tb2(X2),t2tb1(sK2))) != 0 | nth1(X5,$sum(X2,-1),X6) = nth1(X5,X2,cons(X5,X7,X6))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3118,f9678])). 119.69/119.01 tff(f3118,plain,( 119.69/119.01 ( ! [X2:$int,X0:uni,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(X0),$sum(sK3,$uminus(sK0))),t2tb1(X1))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X2) | ~zero_at1(X1,X2) | length1(int,X0) != 0) ) | ~spl8_185), 119.69/119.01 inference(superposition,[],[f1515,f264])). 119.69/119.01 tff(f264,plain,( 119.69/119.01 ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | length1(X0,X1) != 0) )), 119.69/119.01 inference(cnf_transformation,[],[f122])). 119.69/119.01 tff(f122,plain,( 119.69/119.01 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | length1(X0,X1) != 0) & (length1(X0,X1) = 0 | nil(X0) != X1))), 119.69/119.01 inference(nnf_transformation,[],[f77])). 119.69/119.01 tff(f77,plain,( 119.69/119.01 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 <=> length1(X0,X1) = 0)), 119.69/119.01 inference(rectify,[],[f18])). 119.69/119.01 tff(f18,axiom,( 119.69/119.01 ! [X1 : ty,X8 : uni] : (nil(X1) = X8 <=> length1(X1,X8) = 0)), 119.69/119.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)). 119.69/119.01 tff(f12883,plain,( 119.69/119.01 spl8_1208 | ~spl8_1211 | spl8_185 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f12876,f8079,f1200,f12881,f12878])). 119.69/119.01 tff(f12878,plain,( 119.69/119.01 spl8_1208 <=> ! [X1 : $int,X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) | ~zero_at1(X0,X1) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1208])])). 119.69/119.01 tff(f12876,plain,( 119.69/119.01 ( ! [X0:list_int,X1:$int] : (length1(int,t2tb1(sK2)) != -1 | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(X0,X1)) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(evaluation,[],[f12875])). 119.69/119.01 tff(f12875,plain,( 119.69/119.01 ( ! [X0:list_int,X1:$int] : (0 != $sum(1,length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(X0,X1)) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(forward_demodulation,[],[f12868,f244])). 119.69/119.01 tff(f12868,plain,( 119.69/119.01 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(X0,X1) | length1(int,cons(int,t2tb2(0),t2tb1(sK2))) != 0) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3118,f8080])). 119.69/119.01 tff(f12664,plain,( 119.69/119.01 spl8_1206 | spl8_1190 | ~spl8_104 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f12617,f8079,f908,f12630,f12662])). 119.69/119.01 tff(f12630,plain,( 119.69/119.01 spl8_1190 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | ~$less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1190])])). 119.69/119.01 tff(f12617,plain,( 119.69/119.01 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X17)) | ~$less(sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.01 inference(evaluation,[],[f12614])). 119.69/119.01 tff(f12614,plain,( 119.69/119.01 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X17)) | ~$less(sK7(tb2t1(cons(int,X16,X17)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK3) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_104 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3221,f9678])). 119.69/119.01 tff(f3221,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),X0)) | ~$less(sK7(tb2t1(X0),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(X0),sK3)) ) | ~spl8_104), 119.69/119.01 inference(superposition,[],[f1565,f234])). 119.69/119.01 tff(f1565,plain,( 119.69/119.01 ( ! [X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(X1))) | ~$less(sK7(X1,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(X1,sK3)) ) | ~spl8_104), 119.69/119.01 inference(resolution,[],[f1109,f266])). 119.69/119.01 tff(f12660,plain,( 119.69/119.01 spl8_1204 | spl8_1190 | ~spl8_104 | ~spl8_120 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f12618,f8032,f954,f908,f12630,f12658])). 119.69/119.01 tff(f12618,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X15)) | ~$less(sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.01 inference(evaluation,[],[f12613])). 119.69/119.01 tff(f12613,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X15)) | ~$less(sK7(tb2t1(cons(int,X14,X15)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X14,X15)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))))) ) | (~spl8_104 | ~spl8_120 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f3221,f9012])). 119.69/119.01 tff(f12656,plain,( 119.69/119.01 spl8_1202 | spl8_1190 | ~spl8_104 | ~spl8_120), 119.69/119.01 inference(avatar_split_clause,[],[f12619,f954,f908,f12630,f12654])). 119.69/119.01 tff(f12619,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X13)) | ~$less(sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.01 inference(evaluation,[],[f12612])). 119.69/119.01 tff(f12612,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X13)) | ~$less(sK7(tb2t1(cons(int,X12,X13)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X12,X13)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_120)), 119.69/119.01 inference(superposition,[],[f3221,f8035])). 119.69/119.01 tff(f12652,plain,( 119.69/119.01 spl8_1200 | spl8_1190 | ~spl8_104 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f12620,f8032,f908,f12630,f12650])). 119.69/119.01 tff(f12620,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X11)) | ~$less(sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.01 inference(evaluation,[],[f12611])). 119.69/119.01 tff(f12611,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X11)) | ~$less(sK7(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f3221,f8033])). 119.69/119.01 tff(f12648,plain,( 119.69/119.01 spl8_1198 | spl8_1190 | ~spl8_44 | spl8_97 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f12621,f908,f878,f678,f12630,f12646])). 119.69/119.01 tff(f12646,plain,( 119.69/119.01 spl8_1198 <=> cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1198])])). 119.69/119.01 tff(f12621,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X9)) | ~$less(sK7(tb2t1(cons(int,X8,X9)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X8,X9)),sK3) | cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_104)), 119.69/119.01 inference(evaluation,[],[f12610])). 119.69/119.01 tff(f12610,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X9)) | ~$less(sK7(tb2t1(cons(int,X8,X9)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X8,X9)),sK3) | cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_104)), 119.69/119.01 inference(superposition,[],[f3221,f6736])). 119.69/119.01 tff(f12644,plain,( 119.69/119.01 spl8_1196 | spl8_1190 | spl8_97 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f12622,f908,f878,f12630,f12642])). 119.69/119.01 tff(f12642,plain,( 119.69/119.01 spl8_1196 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1196])])). 119.69/119.01 tff(f12622,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X7)) | ~$less(sK7(tb2t1(cons(int,X6,X7)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X6,X7)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.01 inference(evaluation,[],[f12609])). 119.69/119.01 tff(f12609,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X7)) | ~$less(sK7(tb2t1(cons(int,X6,X7)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X6,X7)),sK3) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_104)), 119.69/119.01 inference(superposition,[],[f3221,f5770])). 119.69/119.01 tff(f12640,plain,( 119.69/119.01 spl8_1194 | spl8_1190 | ~spl8_104 | ~spl8_286), 119.69/119.01 inference(avatar_split_clause,[],[f12623,f1839,f908,f12630,f12638])). 119.69/119.01 tff(f12623,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X5)) | ~$less(sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.01 inference(evaluation,[],[f12608])). 119.69/119.01 tff(f12608,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X5)) | ~$less(sK7(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK3) | some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2))))) = nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))) ) | (~spl8_104 | ~spl8_286)), 119.69/119.01 inference(superposition,[],[f3221,f2627])). 119.69/119.01 tff(f12636,plain,( 119.69/119.01 spl8_1192 | spl8_1190 | ~spl8_100 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f12624,f908,f895,f12630,f12634])). 119.69/119.01 tff(f12634,plain,( 119.69/119.01 spl8_1192 <=> tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1192])])). 119.69/119.01 tff(f12624,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X3)) | ~$less(sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.01 inference(evaluation,[],[f12607])). 119.69/119.01 tff(f12607,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X3)) | ~$less(sK7(tb2t1(cons(int,X2,X3)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X2,X3)),sK3) | tb2t(some(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2)))),cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_104)), 119.69/119.01 inference(superposition,[],[f3221,f1857])). 119.69/119.01 tff(f12632,plain,( 119.69/119.01 spl8_1188 | spl8_1190 | ~spl8_104), 119.69/119.01 inference(avatar_split_clause,[],[f12625,f908,f12630,f12627])). 119.69/119.01 tff(f12625,plain,( 119.69/119.01 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,length1(int,t2tb1(sK2))),X1)) | ~$less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.01 inference(evaluation,[],[f12606])). 119.69/119.01 tff(f12606,plain,( 119.69/119.01 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X1)) | ~$less(sK7(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK3) | 0 = $sum($sum(sK0,1),length1(int,t2tb1(sK2)))) ) | ~spl8_104), 119.69/119.01 inference(superposition,[],[f3221,f287])). 119.69/119.01 tff(f12436,plain,( 119.69/119.01 spl8_158 | spl8_1186 | ~spl8_182 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f12386,f8594,f1196,f12434,f1113])). 119.69/119.01 tff(f12434,plain,( 119.69/119.01 spl8_1186 <=> ! [X15 : uni,X14 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X14)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X14)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X15,cons_proj_21(int,X14))),$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1186])])). 119.69/119.01 tff(f1196,plain,( 119.69/119.01 spl8_182 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_182])])). 119.69/119.01 tff(f12386,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X14)) | ~zero_at1(tb2t1(cons(int,X15,cons_proj_21(int,X14))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X14)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_182 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f6808])). 119.69/119.01 tff(f6808,plain,( 119.69/119.01 ( ! [X15:uni,X16:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X15)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(int,X16,X15) = nth1(int,$sum(X16,-1),cons_proj_21(int,X15)) | 0 = X16) ) | ~spl8_182), 119.69/119.01 inference(superposition,[],[f287,f5727])). 119.69/119.01 tff(f5727,plain,( 119.69/119.01 ( ! [X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X1)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_182), 119.69/119.01 inference(superposition,[],[f1197,f260])). 119.69/119.01 tff(f1197,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_182), 119.69/119.01 inference(avatar_component_clause,[],[f1196])). 119.69/119.01 tff(f12432,plain,( 119.69/119.01 spl8_234 | spl8_1184 | ~spl8_182 | ~spl8_236), 119.69/119.01 inference(avatar_split_clause,[],[f12385,f1606,f1196,f12430,f1603])). 119.69/119.01 tff(f12430,plain,( 119.69/119.01 spl8_1184 <=> ! [X13 : uni,X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X12)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,X12))),sK0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1184])])). 119.69/119.01 tff(f12385,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X12)) | ~zero_at1(tb2t1(cons(int,X13,cons_proj_21(int,X12))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X12)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_182 | ~spl8_236)), 119.69/119.01 inference(superposition,[],[f1607,f6808])). 119.69/119.01 tff(f12428,plain,( 119.69/119.01 spl8_234 | spl8_1182 | ~spl8_182 | ~spl8_288), 119.69/119.01 inference(avatar_split_clause,[],[f12384,f1850,f1196,f12426,f1603])). 119.69/119.01 tff(f12426,plain,( 119.69/119.01 spl8_1182 <=> ! [X11 : uni,X10 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X10)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X10)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X11,cons_proj_21(int,X10))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1182])])). 119.69/119.01 tff(f12384,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X10)) | ~zero_at1(tb2t1(cons(int,X11,cons_proj_21(int,X10))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X10)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_182 | ~spl8_288)), 119.69/119.01 inference(superposition,[],[f1851,f6808])). 119.69/119.01 tff(f12424,plain,( 119.69/119.01 spl8_234 | spl8_1180 | ~spl8_182 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12383,f3036,f1196,f12422,f1603])). 119.69/119.01 tff(f12422,plain,( 119.69/119.01 spl8_1180 <=> ! [X9 : uni,X5 : $int,X7 : uni,X8 : uni,X4 : uni,X6 : ty] : (tb2t(some(int,t2tb2(X5))) != tb2t(nth1(int,sK3,X4)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X4)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X9,cons_proj_21(int,X4))),sK0) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1180])])). 119.69/119.01 tff(f12383,plain,( 119.69/119.01 ( ! [X6:ty,X4:uni,X8:uni,X7:uni,X5:$int,X9:uni] : (tb2t(some(int,t2tb2(X5))) != tb2t(nth1(int,sK3,X4)) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7)) | ~zero_at1(tb2t1(cons(int,X9,cons_proj_21(int,X4))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X4)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_182 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f6808])). 119.69/119.01 tff(f12242,plain,( 119.69/119.01 spl8_1178 | spl8_1162 | ~spl8_408 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f12188,f8079,f3036,f12203,f12240])). 119.69/119.01 tff(f12203,plain,( 119.69/119.01 spl8_1162 <=> ! [X16 : uni,X11 : uni,X13 : $int,X15 : uni,X17 : uni,X12 : uni,X14 : ty] : (tb2t(some(int,t2tb2(X13))) != tb2t(nth1(int,$sum(sK3,-2),X12)) | ~zero_at1(tb2t1(cons(int,X17,cons(int,X11,X12))),sK0) | nth1(X14,$sum(X13,-1),X15) = nth1(X14,X13,cons(X14,X16,X15)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1162])])). 119.69/119.01 tff(f12188,plain,( 119.69/119.01 ( ! [X80:uni,X78:uni,X76:$int,X74:uni,X79:uni,X77:ty,X75:uni] : (tb2t(some(int,t2tb2(X76))) != tb2t(nth1(int,$sum(sK3,-2),X75)) | nth1(X77,$sum(X76,-1),X78) = nth1(X77,X76,cons(X77,X79,X78)) | ~zero_at1(tb2t1(cons(int,X80,cons(int,X74,X75))),sK0) | $sum(sK3,-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_408 | ~spl8_888)), 119.69/119.01 inference(evaluation,[],[f12186])). 119.69/119.01 tff(f12186,plain,( 119.69/119.01 ( ! [X80:uni,X78:uni,X76:$int,X74:uni,X79:uni,X77:ty,X75:uni] : (tb2t(some(int,t2tb2(X76))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X75)) | nth1(X77,$sum(X76,-1),X78) = nth1(X77,X76,cons(X77,X79,X78)) | ~zero_at1(tb2t1(cons(int,X80,cons(int,X74,X75))),sK0) | $sum(sK3,-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_408 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3037,f9678])). 119.69/119.01 tff(f12238,plain,( 119.69/119.01 spl8_1176 | spl8_1162 | ~spl8_120 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12189,f3036,f954,f12203,f12236])). 119.69/119.01 tff(f12189,plain,( 119.69/119.01 ( ! [X70:ty,X68:uni,X72:uni,X71:uni,X69:$int,X67:uni,X73:uni] : (tb2t(some(int,t2tb2(X69))) != tb2t(nth1(int,$sum(sK3,-2),X68)) | nth1(X70,$sum(X69,-1),X71) = nth1(X70,X69,cons(X70,X72,X71)) | ~zero_at1(tb2t1(cons(int,X73,cons(int,X67,X68))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12185])). 119.69/119.01 tff(f12185,plain,( 119.69/119.01 ( ! [X70:ty,X68:uni,X72:uni,X71:uni,X69:$int,X67:uni,X73:uni] : (tb2t(some(int,t2tb2(X69))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X68)) | nth1(X70,$sum(X69,-1),X71) = nth1(X70,X69,cons(X70,X72,X71)) | ~zero_at1(tb2t1(cons(int,X73,cons(int,X67,X68))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f8035])). 119.69/119.01 tff(f12234,plain,( 119.69/119.01 spl8_1174 | spl8_1162 | ~spl8_408 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f12190,f8032,f3036,f12203,f12232])). 119.69/119.01 tff(f12190,plain,( 119.69/119.01 ( ! [X61:uni,X66:uni,X64:uni,X62:$int,X60:uni,X65:uni,X63:ty] : (tb2t(some(int,t2tb2(X62))) != tb2t(nth1(int,$sum(sK3,-2),X61)) | nth1(X63,$sum(X62,-1),X64) = nth1(X63,X62,cons(X63,X65,X64)) | ~zero_at1(tb2t1(cons(int,X66,cons(int,X60,X61))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_408 | ~spl8_876)), 119.69/119.01 inference(evaluation,[],[f12184])). 119.69/119.01 tff(f12184,plain,( 119.69/119.01 ( ! [X61:uni,X66:uni,X64:uni,X62:$int,X60:uni,X65:uni,X63:ty] : (tb2t(some(int,t2tb2(X62))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X61)) | nth1(X63,$sum(X62,-1),X64) = nth1(X63,X62,cons(X63,X65,X64)) | ~zero_at1(tb2t1(cons(int,X66,cons(int,X60,X61))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_408 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f3037,f8033])). 119.69/119.01 tff(f12230,plain,( 119.69/119.01 spl8_1172 | spl8_1162 | ~spl8_44 | spl8_97 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12191,f3036,f878,f678,f12203,f12228])). 119.69/119.01 tff(f12191,plain,( 119.69/119.01 ( ! [X59:uni,X57:uni,X54:uni,X58:uni,X56:ty,X55:$int,X53:uni] : (tb2t(some(int,t2tb2(X55))) != tb2t(nth1(int,$sum(sK3,-2),X54)) | nth1(X56,$sum(X55,-1),X57) = nth1(X56,X55,cons(X56,X58,X57)) | ~zero_at1(tb2t1(cons(int,X59,cons(int,X53,X54))),sK0) | cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12183])). 119.69/119.01 tff(f12183,plain,( 119.69/119.01 ( ! [X59:uni,X57:uni,X54:uni,X58:uni,X56:ty,X55:$int,X53:uni] : (tb2t(some(int,t2tb2(X55))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X54)) | nth1(X56,$sum(X55,-1),X57) = nth1(X56,X55,cons(X56,X58,X57)) | ~zero_at1(tb2t1(cons(int,X59,cons(int,X53,X54))),sK0) | cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))),t2tb1(sK2))) ) | (~spl8_44 | ~spl8_97 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f6736])). 119.69/119.01 tff(f12226,plain,( 119.69/119.01 spl8_1170 | spl8_1162 | spl8_97 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12192,f3036,f878,f12203,f12224])). 119.69/119.01 tff(f12192,plain,( 119.69/119.01 ( ! [X47:uni,X52:uni,X50:uni,X48:$int,X46:uni,X51:uni,X49:ty] : (tb2t(some(int,t2tb2(X48))) != tb2t(nth1(int,$sum(sK3,-2),X47)) | nth1(X49,$sum(X48,-1),X50) = nth1(X49,X48,cons(X49,X51,X50)) | ~zero_at1(tb2t1(cons(int,X52,cons(int,X46,X47))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12182])). 119.69/119.01 tff(f12182,plain,( 119.69/119.01 ( ! [X47:uni,X52:uni,X50:uni,X48:$int,X46:uni,X51:uni,X49:ty] : (tb2t(some(int,t2tb2(X48))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X47)) | nth1(X49,$sum(X48,-1),X50) = nth1(X49,X48,cons(X49,X51,X50)) | ~zero_at1(tb2t1(cons(int,X52,cons(int,X46,X47))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f5770])). 119.69/119.01 tff(f12222,plain,( 119.69/119.01 spl8_1164 | spl8_1162 | ~spl8_408 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f12193,f3189,f3036,f12203,f12209])). 119.69/119.01 tff(f3189,plain,( 119.69/119.01 spl8_414 <=> ! [X1 : ty,X3 : uni,X0 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_414])])). 119.69/119.01 tff(f12193,plain,( 119.69/119.01 ( ! [X39:uni,X45:uni,X43:uni,X41:$int,X44:uni,X42:ty,X40:uni] : (tb2t(some(int,t2tb2(X41))) != tb2t(nth1(int,$sum(sK3,-2),X40)) | nth1(X42,$sum(X41,-1),X43) = nth1(X42,X41,cons(X42,X44,X43)) | ~zero_at1(tb2t1(cons(int,X45,cons(int,X39,X40))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1))))) ) | (~spl8_408 | ~spl8_414)), 119.69/119.01 inference(evaluation,[],[f12181])). 119.69/119.01 tff(f12181,plain,( 119.69/119.01 ( ! [X39:uni,X45:uni,X43:uni,X41:$int,X44:uni,X42:ty,X40:uni] : (tb2t(some(int,t2tb2(X41))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X40)) | nth1(X42,$sum(X41,-1),X43) = nth1(X42,X41,cons(X42,X44,X43)) | ~zero_at1(tb2t1(cons(int,X45,cons(int,X39,X40))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1))))) ) | (~spl8_408 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f3037,f3190])). 119.69/119.01 tff(f3190,plain,( 119.69/119.01 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X0)))) ) | ~spl8_414), 119.69/119.01 inference(avatar_component_clause,[],[f3189])). 119.69/119.01 tff(f12221,plain,( 119.69/119.01 spl8_1162 | spl8_1168 | ~spl8_266 | ~spl8_348 | ~spl8_408 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f12217,f5904,f3036,f2410,f1746,f12219,f12203])). 119.69/119.01 tff(f12219,plain,( 119.69/119.01 spl8_1168 <=> some(int,t2tb2(0)) = some(int,t2tb2($sum(sK3,-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1168])])). 119.69/119.01 tff(f1746,plain,( 119.69/119.01 spl8_266 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_266])])). 119.69/119.01 tff(f5904,plain,( 119.69/119.01 spl8_710 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_710])])). 119.69/119.01 tff(f12217,plain,( 119.69/119.01 ( ! [X37:uni,X35:ty,X33:uni,X38:uni,X36:uni,X34:$int,X32:uni] : (some(int,t2tb2(0)) = some(int,t2tb2($sum(sK3,-1))) | tb2t(some(int,t2tb2(X34))) != tb2t(nth1(int,$sum(sK3,-2),X33)) | nth1(X35,$sum(X34,-1),X36) = nth1(X35,X34,cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,X38,cons(int,X32,X33))),sK0)) ) | (~spl8_266 | ~spl8_348 | ~spl8_408 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f12216,f2411])). 119.69/119.01 tff(f12216,plain,( 119.69/119.01 ( ! [X37:uni,X35:ty,X33:uni,X38:uni,X36:uni,X34:$int,X32:uni] : (some(int,t2tb2($sum(sK3,-1))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(X34))) != tb2t(nth1(int,$sum(sK3,-2),X33)) | nth1(X35,$sum(X34,-1),X36) = nth1(X35,X34,cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,X38,cons(int,X32,X33))),sK0)) ) | (~spl8_266 | ~spl8_408 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f12194,f5905])). 119.69/119.01 tff(f5905,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1))) ) | ~spl8_710), 119.69/119.01 inference(avatar_component_clause,[],[f5904])). 119.69/119.01 tff(f12194,plain,( 119.69/119.01 ( ! [X37:uni,X35:ty,X33:uni,X38:uni,X36:uni,X34:$int,X32:uni] : (tb2t(some(int,t2tb2(X34))) != tb2t(nth1(int,$sum(sK3,-2),X33)) | nth1(X35,$sum(X34,-1),X36) = nth1(X35,X34,cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,X38,cons(int,X32,X33))),sK0) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12180])). 119.69/119.01 tff(f12180,plain,( 119.69/119.01 ( ! [X37:uni,X35:ty,X33:uni,X38:uni,X36:uni,X34:$int,X32:uni] : (tb2t(some(int,t2tb2(X34))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X33)) | nth1(X35,$sum(X34,-1),X36) = nth1(X35,X34,cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,X38,cons(int,X32,X33))),sK0) | some(int,t2tb2($sum(sK3,-1))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f2415])). 119.69/119.01 tff(f2415,plain,( 119.69/119.01 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (some(int,t2tb2(X0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(X0),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_266), 119.69/119.01 inference(superposition,[],[f1747,f287])). 119.69/119.01 tff(f1747,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_266), 119.69/119.01 inference(avatar_component_clause,[],[f1746])). 119.69/119.01 tff(f12215,plain,( 119.69/119.01 spl8_1166 | spl8_1162 | ~spl8_100 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12195,f3036,f895,f12203,f12213])). 119.69/119.01 tff(f12195,plain,( 119.69/119.01 ( ! [X30:uni,X28:ty,X26:uni,X31:uni,X29:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(X27))) != tb2t(nth1(int,$sum(sK3,-2),X26)) | nth1(X28,$sum(X27,-1),X29) = nth1(X28,X27,cons(X28,X30,X29)) | ~zero_at1(tb2t1(cons(int,X31,cons(int,X25,X26))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12179])). 119.69/119.01 tff(f12179,plain,( 119.69/119.01 ( ! [X30:uni,X28:ty,X26:uni,X31:uni,X29:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(X27))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X26)) | nth1(X28,$sum(X27,-1),X29) = nth1(X28,X27,cons(X28,X30,X29)) | ~zero_at1(tb2t1(cons(int,X31,cons(int,X25,X26))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f1857])). 119.69/119.01 tff(f12211,plain,( 119.69/119.01 spl8_1162 | spl8_1164 | ~spl8_214 | ~spl8_264 | ~spl8_408 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f12207,f5904,f3036,f1741,f1382,f12209,f12203])). 119.69/119.01 tff(f1382,plain,( 119.69/119.01 spl8_214 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_214])])). 119.69/119.01 tff(f1741,plain,( 119.69/119.01 spl8_264 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_264])])). 119.69/119.01 tff(f12207,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X22:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-1)))) | tb2t(some(int,t2tb2(X20))) != tb2t(nth1(int,$sum(sK3,-2),X19)) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X18,X19))),sK0)) ) | (~spl8_214 | ~spl8_264 | ~spl8_408 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f12206,f1742])). 119.69/119.01 tff(f1742,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) | ~spl8_264), 119.69/119.01 inference(avatar_component_clause,[],[f1741])). 119.69/119.01 tff(f12206,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X22:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(X20))) != tb2t(nth1(int,$sum(sK3,-2),X19)) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X18,X19))),sK0)) ) | (~spl8_214 | ~spl8_408 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f12196,f5905])). 119.69/119.01 tff(f12196,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X22:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2(X20))) != tb2t(nth1(int,$sum(sK3,-2),X19)) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X18,X19))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_408)), 119.69/119.01 inference(evaluation,[],[f12178])). 119.69/119.01 tff(f12178,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X22:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2(X20))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X19)) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X18,X19))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-1)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-1)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f1734])). 119.69/119.01 tff(f1734,plain,( 119.69/119.01 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(X0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_214), 119.69/119.01 inference(superposition,[],[f1383,f287])). 119.69/119.01 tff(f1383,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_214), 119.69/119.01 inference(avatar_component_clause,[],[f1382])). 119.69/119.01 tff(f12205,plain,( 119.69/119.01 spl8_352 | spl8_1162 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12197,f3036,f12203,f2520])). 119.69/119.01 tff(f12197,plain,( 119.69/119.01 ( ! [X14:ty,X12:uni,X17:uni,X15:uni,X13:$int,X11:uni,X16:uni] : (tb2t(some(int,t2tb2(X13))) != tb2t(nth1(int,$sum(sK3,-2),X12)) | nth1(X14,$sum(X13,-1),X15) = nth1(X14,X13,cons(X14,X16,X15)) | ~zero_at1(tb2t1(cons(int,X17,cons(int,X11,X12))),sK0) | 1 = sK3) ) | ~spl8_408), 119.69/119.01 inference(evaluation,[],[f12177])). 119.69/119.01 tff(f12177,plain,( 119.69/119.01 ( ! [X14:ty,X12:uni,X17:uni,X15:uni,X13:$int,X11:uni,X16:uni] : (tb2t(some(int,t2tb2(X13))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X12)) | nth1(X14,$sum(X13,-1),X15) = nth1(X14,X13,cons(X14,X16,X15)) | ~zero_at1(tb2t1(cons(int,X17,cons(int,X11,X12))),sK0) | 0 = $sum(sK3,-1)) ) | ~spl8_408), 119.69/119.01 inference(superposition,[],[f3037,f287])). 119.69/119.01 tff(f12201,plain,( 119.69/119.01 spl8_234 | spl8_1160 | ~spl8_214 | ~spl8_408), 119.69/119.01 inference(avatar_split_clause,[],[f12175,f3036,f1382,f12199,f1603])). 119.69/119.01 tff(f12199,plain,( 119.69/119.01 spl8_1160 <=> ! [X1 : $int,X3 : uni,X5 : uni,X0 : uni,X2 : ty,X4 : uni] : (tb2t(some(int,t2tb2(X1))) != tb2t(nth1(int,sK3,X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X0))),sK0) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1160])])). 119.69/119.01 tff(f12175,plain,( 119.69/119.01 ( ! [X4:uni,X2:ty,X0:uni,X5:uni,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(X1))) != tb2t(nth1(int,sK3,X0)) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X0))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X0)),cons(int,t2tb2(0),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_214 | ~spl8_408)), 119.69/119.01 inference(superposition,[],[f3037,f3020])). 119.69/119.01 tff(f3020,plain,( 119.69/119.01 ( ! [X12:$int,X11:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X11)),cons(int,t2tb2(0),t2tb1(sK2)))) | nth1(int,X12,X11) = nth1(int,$sum(X12,-1),cons_proj_21(int,X11)) | 0 = X12) ) | ~spl8_214), 119.69/119.01 inference(superposition,[],[f287,f1733])). 119.69/119.01 tff(f1733,plain,( 119.69/119.01 ( ! [X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X1)),cons(int,t2tb2(0),t2tb1(sK2)))) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_214), 119.69/119.01 inference(superposition,[],[f1383,f260])). 119.69/119.01 tff(f12172,plain,( 119.69/119.01 spl8_158 | spl8_1158 | ~spl8_214 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f12131,f8594,f1382,f12170,f1113])). 119.69/119.01 tff(f12170,plain,( 119.69/119.01 spl8_1158 <=> ! [X9 : uni,X8 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X8)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X9,cons_proj_21(int,X8))),$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1158])])). 119.69/119.01 tff(f12131,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons_proj_21(int,X8))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X8)),cons(int,t2tb2(0),t2tb1(sK2)))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f3020])). 119.69/119.01 tff(f12168,plain,( 119.69/119.01 spl8_234 | spl8_1156 | ~spl8_214 | ~spl8_236), 119.69/119.01 inference(avatar_split_clause,[],[f12130,f1606,f1382,f12166,f1603])). 119.69/119.01 tff(f12166,plain,( 119.69/119.01 spl8_1156 <=> ! [X7 : uni,X6 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X6)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X6)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X7,cons_proj_21(int,X6))),sK0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1156])])). 119.69/119.01 tff(f12130,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X6)) | ~zero_at1(tb2t1(cons(int,X7,cons_proj_21(int,X6))),sK0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X6)),cons(int,t2tb2(0),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_214 | ~spl8_236)), 119.69/119.01 inference(superposition,[],[f1607,f3020])). 119.69/119.01 tff(f12164,plain,( 119.69/119.01 spl8_234 | spl8_1154 | ~spl8_214 | ~spl8_288), 119.69/119.01 inference(avatar_split_clause,[],[f12129,f1850,f1382,f12162,f1603])). 119.69/119.01 tff(f12162,plain,( 119.69/119.01 spl8_1154 <=> ! [X5 : uni,X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X4)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X4)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X4))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1154])])). 119.69/119.01 tff(f12129,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X4)) | ~zero_at1(tb2t1(cons(int,X5,cons_proj_21(int,X4))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X4)),cons(int,t2tb2(0),t2tb1(sK2)))) | 0 = sK3) ) | (~spl8_214 | ~spl8_288)), 119.69/119.01 inference(superposition,[],[f1851,f3020])). 119.69/119.01 tff(f11685,plain,( 119.69/119.01 spl8_1132 | spl8_1152 | spl8_185 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f11684,f8079,f1200,f11663,f11319])). 119.69/119.01 tff(f11319,plain,( 119.69/119.01 spl8_1132 <=> sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1132])])). 119.69/119.01 tff(f11663,plain,( 119.69/119.01 spl8_1152 <=> ! [X1 : uni,X0 : uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1152])])). 119.69/119.01 tff(f11684,plain,( 119.69/119.01 ( ! [X17:uni,X16:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X17))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X17)) | ~no_zero1(tb2t1(cons(int,X16,X17))) | sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(forward_demodulation,[],[f11656,f244])). 119.69/119.01 tff(f11656,plain,( 119.69/119.01 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X17)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X16,X17))) | ~no_zero1(tb2t1(cons(int,X16,X17))) | sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3212,f9678])). 119.69/119.01 tff(f3212,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,X0)) | ~no_zero1(tb2t1(X0))) ) | ~spl8_185), 119.69/119.01 inference(forward_demodulation,[],[f3207,f234])). 119.69/119.01 tff(f3207,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | ~spl8_185), 119.69/119.01 inference(superposition,[],[f1516,f234])). 119.69/119.01 tff(f1516,plain,( 119.69/119.01 ( ! [X4:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),t2tb1(X4))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_185), 119.69/119.01 inference(resolution,[],[f1201,f250])). 119.69/119.01 tff(f11683,plain,( 119.69/119.01 spl8_1130 | spl8_1152 | ~spl8_120 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11682,f1200,f954,f11663,f11315])). 119.69/119.01 tff(f11315,plain,( 119.69/119.01 spl8_1130 <=> tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1130])])). 119.69/119.01 tff(f11682,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X15))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X15)) | ~no_zero1(tb2t1(cons(int,X14,X15))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_185)), 119.69/119.01 inference(forward_demodulation,[],[f11655,f244])). 119.69/119.01 tff(f11655,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X15)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X14,X15))) | ~no_zero1(tb2t1(cons(int,X14,X15))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3212,f8035])). 119.69/119.01 tff(f11681,plain,( 119.69/119.01 spl8_1128 | spl8_1152 | spl8_185 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f11680,f8032,f1200,f11663,f11311])). 119.69/119.01 tff(f11311,plain,( 119.69/119.01 spl8_1128 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1128])])). 119.69/119.01 tff(f11680,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X13))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X13)) | ~no_zero1(tb2t1(cons(int,X12,X13))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_876)), 119.69/119.01 inference(forward_demodulation,[],[f11654,f244])). 119.69/119.01 tff(f11654,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X13)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X12,X13))) | ~no_zero1(tb2t1(cons(int,X12,X13))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f3212,f8033])). 119.69/119.01 tff(f11679,plain,( 119.69/119.01 spl8_1126 | spl8_1152 | spl8_97 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11678,f1200,f878,f11663,f11307])). 119.69/119.01 tff(f11307,plain,( 119.69/119.01 spl8_1126 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1126])])). 119.69/119.01 tff(f11678,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X11))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X11)) | ~no_zero1(tb2t1(cons(int,X10,X11))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_185)), 119.69/119.01 inference(forward_demodulation,[],[f11653,f244])). 119.69/119.01 tff(f11653,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X11)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X10,X11))) | ~no_zero1(tb2t1(cons(int,X10,X11))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3212,f5770])). 119.69/119.01 tff(f11677,plain,( 119.69/119.01 spl8_1120 | spl8_1152 | spl8_185 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f11676,f3189,f1200,f11663,f11292])). 119.69/119.01 tff(f11292,plain,( 119.69/119.01 spl8_1120 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1120])])). 119.69/119.01 tff(f11676,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_185 | ~spl8_414)), 119.69/119.01 inference(forward_demodulation,[],[f11652,f244])). 119.69/119.01 tff(f11652,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X9)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X8,X9))) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_185 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f3212,f3190])). 119.69/119.01 tff(f11675,plain,( 119.69/119.01 spl8_1152 | spl8_1124 | spl8_185 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f11674,f5904,f2410,f1746,f1200,f11302,f11663])). 119.69/119.01 tff(f11302,plain,( 119.69/119.01 spl8_1124 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1124])])). 119.69/119.01 tff(f11674,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7)))) ) | (~spl8_185 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11673,f2411])). 119.69/119.01 tff(f11673,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7)))) ) | (~spl8_185 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11672,f5905])). 119.69/119.01 tff(f11672,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7))) | some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_185 | ~spl8_266)), 119.69/119.01 inference(forward_demodulation,[],[f11651,f244])). 119.69/119.01 tff(f11651,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X7)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X6,X7))) | ~no_zero1(tb2t1(cons(int,X6,X7))) | some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_185 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f3212,f2415])). 119.69/119.01 tff(f11671,plain,( 119.69/119.01 spl8_1122 | spl8_1152 | ~spl8_100 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11670,f1200,f895,f11663,f11296])). 119.69/119.01 tff(f11296,plain,( 119.69/119.01 spl8_1122 <=> tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1122])])). 119.69/119.01 tff(f11670,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_185)), 119.69/119.01 inference(forward_demodulation,[],[f11650,f244])). 119.69/119.01 tff(f11650,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X5)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X4,X5))) | ~no_zero1(tb2t1(cons(int,X4,X5))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3212,f1857])). 119.69/119.01 tff(f11669,plain,( 119.69/119.01 spl8_1152 | spl8_1120 | spl8_185 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f11668,f5904,f1741,f1382,f1200,f11292,f11663])). 119.69/119.01 tff(f11668,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3)))) ) | (~spl8_185 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11667,f1742])). 119.69/119.01 tff(f11667,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3)))) ) | (~spl8_185 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11666,f5905])). 119.69/119.01 tff(f11666,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_214)), 119.69/119.01 inference(forward_demodulation,[],[f11649,f244])). 119.69/119.01 tff(f11649,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X3)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X2,X3))) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f3212,f1734])). 119.69/119.01 tff(f11665,plain,( 119.69/119.01 spl8_1116 | spl8_1152 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11661,f1200,f11663,f11283])). 119.69/119.01 tff(f11283,plain,( 119.69/119.01 spl8_1116 <=> 0 = sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1116])])). 119.69/119.01 tff(f11661,plain,( 119.69/119.01 ( ! [X0:uni,X1:uni] : (~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X1)) | ~no_zero1(tb2t1(cons(int,X0,X1))) | 0 = sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))) ) | ~spl8_185), 119.69/119.01 inference(forward_demodulation,[],[f11648,f244])). 119.69/119.01 tff(f11648,plain,( 119.69/119.01 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X1)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X0,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | 0 = sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))) ) | ~spl8_185), 119.69/119.01 inference(superposition,[],[f3212,f287])). 119.69/119.01 tff(f11606,plain,( 119.69/119.01 spl8_1150 | spl8_146 | ~spl8_182 | ~spl8_214 | ~spl8_664 | ~spl8_934), 119.69/119.01 inference(avatar_split_clause,[],[f11602,f8727,f5571,f1382,f1196,f5963,f11604])). 119.69/119.01 tff(f11602,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK1))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_182 | ~spl8_214 | ~spl8_664 | ~spl8_934)), 119.69/119.01 inference(forward_demodulation,[],[f11601,f8728])). 119.69/119.01 tff(f11601,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_182 | ~spl8_214 | ~spl8_664)), 119.69/119.01 inference(forward_demodulation,[],[f11545,f1197])). 119.69/119.01 tff(f11545,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_214 | ~spl8_664)), 119.69/119.01 inference(superposition,[],[f3144,f5572])). 119.69/119.01 tff(f3144,plain,( 119.69/119.01 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (tb2t(some(int,X0)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,X0,t2tb1(sK2)))) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_214), 119.69/119.01 inference(superposition,[],[f1734,f237])). 119.69/119.01 tff(f11503,plain,( 119.69/119.01 spl8_1148 | spl8_1136 | ~spl8_888 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11454,f8594,f8079,f11468,f11501])). 119.69/119.01 tff(f11468,plain,( 119.69/119.01 spl8_1136 <=> ! [X5 : uni,X4 : uni,X6 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X5)) | ~zero_at1(tb2t1(cons(int,X6,cons(int,X4,X5))),$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1136])])). 119.69/119.01 tff(f11454,plain,( 119.69/119.01 ( ! [X30:uni,X28:uni,X29:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X29)) | ~zero_at1(tb2t1(cons(int,X30,cons(int,X28,X29))),$sum(1,length1(int,t2tb1(sK2)))) | $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_888 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11447])). 119.69/119.01 tff(f11447,plain,( 119.69/119.01 ( ! [X30:uni,X28:uni,X29:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X29)) | ~zero_at1(tb2t1(cons(int,X30,cons(int,X28,X29))),$sum(1,length1(int,t2tb1(sK2)))) | $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1) = sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_888 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f9678])). 119.69/119.01 tff(f11499,plain,( 119.69/119.01 spl8_1146 | spl8_1136 | ~spl8_120 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11455,f8594,f954,f11468,f11497])). 119.69/119.01 tff(f11455,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X26)) | ~zero_at1(tb2t1(cons(int,X27,cons(int,X25,X26))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11446])). 119.69/119.01 tff(f11446,plain,( 119.69/119.01 ( ! [X26:uni,X27:uni,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X26)) | ~zero_at1(tb2t1(cons(int,X27,cons(int,X25,X26))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f8035])). 119.69/119.01 tff(f11495,plain,( 119.69/119.01 spl8_1144 | spl8_1136 | ~spl8_876 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11456,f8594,f8032,f11468,f11493])). 119.69/119.01 tff(f11456,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X23)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X22,X23))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_876 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11445])). 119.69/119.01 tff(f11445,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X23)) | ~zero_at1(tb2t1(cons(int,X24,cons(int,X22,X23))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_876 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f8033])). 119.69/119.01 tff(f11491,plain,( 119.69/119.01 spl8_1142 | spl8_1136 | spl8_97 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11457,f8594,f878,f11468,f11489])). 119.69/119.01 tff(f11457,plain,( 119.69/119.01 ( ! [X21:uni,X19:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X20)) | ~zero_at1(tb2t1(cons(int,X21,cons(int,X19,X20))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11444])). 119.69/119.01 tff(f11444,plain,( 119.69/119.01 ( ! [X21:uni,X19:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X20)) | ~zero_at1(tb2t1(cons(int,X21,cons(int,X19,X20))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f5770])). 119.69/119.01 tff(f11487,plain,( 119.69/119.01 spl8_606 | spl8_1136 | ~spl8_414 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11458,f8594,f3189,f11468,f11474])). 119.69/119.01 tff(f11458,plain,( 119.69/119.01 ( ! [X17:uni,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X17)) | ~zero_at1(tb2t1(cons(int,X18,cons(int,X16,X17))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))) ) | (~spl8_414 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11443])). 119.69/119.01 tff(f11443,plain,( 119.69/119.01 ( ! [X17:uni,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X17)) | ~zero_at1(tb2t1(cons(int,X18,cons(int,X16,X17))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))) ) | (~spl8_414 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f3190])). 119.69/119.01 tff(f11486,plain,( 119.69/119.01 spl8_1136 | spl8_1140 | ~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11482,f8594,f5904,f2410,f1746,f11484,f11468])). 119.69/119.01 tff(f11484,plain,( 119.69/119.01 spl8_1140 <=> some(int,t2tb2(0)) = some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1140])])). 119.69/119.01 tff(f11482,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni,X13:uni] : (some(int,t2tb2(0)) = some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X14)) | ~zero_at1(tb2t1(cons(int,X15,cons(int,X13,X14))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_920)), 119.69/119.01 inference(forward_demodulation,[],[f11481,f2411])). 119.69/119.01 tff(f11481,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni,X13:uni] : (some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X14)) | ~zero_at1(tb2t1(cons(int,X15,cons(int,X13,X14))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_266 | ~spl8_710 | ~spl8_920)), 119.69/119.01 inference(forward_demodulation,[],[f11459,f5905])). 119.69/119.01 tff(f11459,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X14)) | ~zero_at1(tb2t1(cons(int,X15,cons(int,X13,X14))),$sum(1,length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11442])). 119.69/119.01 tff(f11442,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X14)) | ~zero_at1(tb2t1(cons(int,X15,cons(int,X13,X14))),$sum(1,length1(int,t2tb1(sK2)))) | some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f2415])). 119.69/119.01 tff(f11480,plain,( 119.69/119.01 spl8_1138 | spl8_1136 | ~spl8_100 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11460,f8594,f895,f11468,f11478])). 119.69/119.01 tff(f11460,plain,( 119.69/119.01 ( ! [X12:uni,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X10,X11))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11441])). 119.69/119.01 tff(f11441,plain,( 119.69/119.01 ( ! [X12:uni,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X10,X11))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f1857])). 119.69/119.01 tff(f11476,plain,( 119.69/119.01 spl8_1136 | spl8_606 | ~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11472,f8594,f5904,f1741,f1382,f11474,f11468])). 119.69/119.01 tff(f11472,plain,( 119.69/119.01 ( ! [X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_920)), 119.69/119.01 inference(forward_demodulation,[],[f11471,f1742])). 119.69/119.01 tff(f11471,plain,( 119.69/119.01 ( ! [X8:uni,X7:uni,X9:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_710 | ~spl8_920)), 119.69/119.01 inference(forward_demodulation,[],[f11461,f5905])). 119.69/119.01 tff(f11461,plain,( 119.69/119.01 ( ! [X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_920)), 119.69/119.01 inference(evaluation,[],[f11440])). 119.69/119.01 tff(f11440,plain,( 119.69/119.01 ( ! [X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X8)) | ~zero_at1(tb2t1(cons(int,X9,cons(int,X7,X8))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_920)), 119.69/119.01 inference(superposition,[],[f8595,f1734])). 119.69/119.01 tff(f11470,plain,( 119.69/119.01 spl8_1134 | spl8_1136 | ~spl8_920), 119.69/119.01 inference(avatar_split_clause,[],[f11462,f8594,f11468,f11465])). 119.69/119.01 tff(f11462,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X5)) | ~zero_at1(tb2t1(cons(int,X6,cons(int,X4,X5))),$sum(1,length1(int,t2tb1(sK2)))) | 1 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_920), 119.69/119.01 inference(evaluation,[],[f11439])). 119.69/119.01 tff(f11439,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X5)) | ~zero_at1(tb2t1(cons(int,X6,cons(int,X4,X5))),$sum(1,length1(int,t2tb1(sK2)))) | 0 = $sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) ) | ~spl8_920), 119.69/119.01 inference(superposition,[],[f8595,f287])). 119.69/119.01 tff(f11321,plain,( 119.69/119.01 spl8_1132 | spl8_1118 | spl8_185 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f11277,f8079,f1200,f11286,f11319])). 119.69/119.01 tff(f11286,plain,( 119.69/119.01 spl8_1118 <=> ! [X1 : uni,X3 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X2)) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X3))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1118])])). 119.69/119.01 tff(f11277,plain,( 119.69/119.01 ( ! [X26:uni,X27:$int,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X26)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X27) | ~zero_at1(tb2t1(cons(int,X25,X26)),X27) | sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) = sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_185 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f3120,f9678])). 119.69/119.01 tff(f3120,plain,( 119.69/119.01 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_185), 119.69/119.01 inference(superposition,[],[f1515,f234])). 119.69/119.01 tff(f11317,plain,( 119.69/119.01 spl8_1130 | spl8_1118 | ~spl8_120 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11276,f1200,f954,f11286,f11315])). 119.69/119.01 tff(f11276,plain,( 119.69/119.01 ( ! [X24:$int,X23:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X23)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X24) | ~zero_at1(tb2t1(cons(int,X22,X23)),X24) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_120 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3120,f8035])). 119.69/119.01 tff(f11313,plain,( 119.69/119.01 spl8_1128 | spl8_1118 | spl8_185 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f11275,f8032,f1200,f11286,f11311])). 119.69/119.01 tff(f11275,plain,( 119.69/119.01 ( ! [X21:$int,X19:uni,X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X20)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X21) | ~zero_at1(tb2t1(cons(int,X19,X20)),X21) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f3120,f8033])). 119.69/119.01 tff(f11309,plain,( 119.69/119.01 spl8_1126 | spl8_1118 | spl8_97 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11274,f1200,f878,f11286,f11307])). 119.69/119.01 tff(f11274,plain,( 119.69/119.01 ( ! [X17:uni,X18:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X17)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X18) | ~zero_at1(tb2t1(cons(int,X16,X17)),X18) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3120,f5770])). 119.69/119.01 tff(f11305,plain,( 119.69/119.01 spl8_1120 | spl8_1118 | spl8_185 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f11273,f3189,f1200,f11286,f11292])). 119.69/119.01 tff(f11273,plain,( 119.69/119.01 ( ! [X14:uni,X15:$int,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X14)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X15) | ~zero_at1(tb2t1(cons(int,X13,X14)),X15) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_185 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f3120,f3190])). 119.69/119.01 tff(f11304,plain,( 119.69/119.01 spl8_1118 | spl8_1124 | spl8_185 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f11300,f5904,f2410,f1746,f1200,f11302,f11286])). 119.69/119.01 tff(f11300,plain,( 119.69/119.01 ( ! [X12:$int,X10:uni,X11:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X11)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12)) ) | (~spl8_185 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11299,f2411])). 119.69/119.01 tff(f11299,plain,( 119.69/119.01 ( ! [X12:$int,X10:uni,X11:uni] : (some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X11)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12)) ) | (~spl8_185 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11272,f5905])). 119.69/119.01 tff(f11272,plain,( 119.69/119.01 ( ! [X12:$int,X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X11)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X12) | ~zero_at1(tb2t1(cons(int,X10,X11)),X12) | some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_185 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f3120,f2415])). 119.69/119.01 tff(f11298,plain,( 119.69/119.01 spl8_1122 | spl8_1118 | ~spl8_100 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11271,f1200,f895,f11286,f11296])). 119.69/119.01 tff(f11271,plain,( 119.69/119.01 ( ! [X8:uni,X7:uni,X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X8)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X9) | ~zero_at1(tb2t1(cons(int,X7,X8)),X9) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_185)), 119.69/119.01 inference(superposition,[],[f3120,f1857])). 119.69/119.01 tff(f11294,plain,( 119.69/119.01 spl8_1118 | spl8_1120 | spl8_185 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f11290,f5904,f1741,f1382,f1200,f11292,f11286])). 119.69/119.01 tff(f11290,plain,( 119.69/119.01 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X5)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6)) ) | (~spl8_185 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11289,f1742])). 119.69/119.01 tff(f11289,plain,( 119.69/119.01 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X5)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6)) ) | (~spl8_185 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f11270,f5905])). 119.69/119.01 tff(f11270,plain,( 119.69/119.01 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X5)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6) | tb2t(some(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_185 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f3120,f1734])). 119.69/119.01 tff(f11288,plain,( 119.69/119.01 spl8_1116 | spl8_1118 | spl8_185), 119.69/119.01 inference(avatar_split_clause,[],[f11269,f1200,f11286,f11283])). 119.69/119.01 tff(f11269,plain,( 119.69/119.01 ( ! [X2:uni,X3:$int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),-1),X2)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),X3) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | 0 = sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))) ) | ~spl8_185), 119.69/119.01 inference(superposition,[],[f3120,f287])). 119.69/119.01 tff(f11211,plain,( 119.69/119.01 spl8_590 | spl8_1114 | ~spl8_12 | ~spl8_600), 119.69/119.01 inference(avatar_split_clause,[],[f11207,f5287,f751,f11209,f5266])). 119.69/119.01 tff(f11209,plain,( 119.69/119.01 spl8_1114 <=> ! [X58 : uni,X59 : uni] : (cons(int,X58,X59) = cons(int,cons_proj_11(int,cons(int,X58,X59)),X59) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X59)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(1,length1(int,X59))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1114])])). 119.69/119.01 tff(f11207,plain,( 119.69/119.01 ( ! [X59:uni,X58:uni] : (cons(int,X58,X59) = cons(int,cons_proj_11(int,cons(int,X58,X59)),X59) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(1,length1(int,X59))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X59)) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_600)), 119.69/119.01 inference(forward_demodulation,[],[f11206,f273])). 119.69/119.01 tff(f11206,plain,( 119.69/119.01 ( ! [X59:uni,X58:uni] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(1,length1(int,X59))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X59)) | cons(int,X58,X59) = cons(int,cons_proj_11(int,cons(int,X58,X59)),cons_proj_21(int,cons(int,X58,X59))) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_600)), 119.69/119.01 inference(forward_demodulation,[],[f11175,f244])). 119.69/119.01 tff(f11175,plain,( 119.69/119.01 ( ! [X59:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X59)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,cons(int,X58,X59))) | cons(int,X58,X59) = cons(int,cons_proj_11(int,cons(int,X58,X59)),cons_proj_21(int,cons(int,X58,X59))) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_600)), 119.69/119.01 inference(evaluation,[],[f11171])). 119.69/119.01 tff(f11171,plain,( 119.69/119.01 ( ! [X59:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X59)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,cons(int,X58,X59))) | cons(int,X58,X59) = cons(int,cons_proj_11(int,cons(int,X58,X59)),cons_proj_21(int,cons(int,X58,X59))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0)) ) | (~spl8_12 | ~spl8_600)), 119.69/119.01 inference(superposition,[],[f2241,f5288])). 119.69/119.01 tff(f5288,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | ~spl8_600), 119.69/119.01 inference(avatar_component_clause,[],[f5287])). 119.69/119.01 tff(f11205,plain,( 119.69/119.01 spl8_1112 | ~spl8_330 | ~spl8_600 | ~spl8_614), 119.69/119.01 inference(avatar_split_clause,[],[f11201,f5321,f5287,f2348,f11203])). 119.69/119.01 tff(f11203,plain,( 119.69/119.01 spl8_1112 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1112])])). 119.69/119.01 tff(f11201,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_600 | ~spl8_614)), 119.69/119.01 inference(forward_demodulation,[],[f11144,f5322])). 119.69/119.01 tff(f11144,plain,( 119.69/119.01 nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_600)), 119.69/119.01 inference(superposition,[],[f5288,f2349])). 119.69/119.01 tff(f11134,plain,( 119.69/119.01 spl8_600 | spl8_1110 | spl8_41 | ~spl8_154 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11104,f8416,f1101,f522,f11132,f5287])). 119.69/119.01 tff(f11132,plain,( 119.69/119.01 spl8_1110 <=> ! [X21 : uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X21)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | nil(int) = X21 | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1110])])). 119.69/119.01 tff(f11104,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X21)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X23) = nth1(X22,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11102])). 119.69/119.01 tff(f11102,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X21)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X23) = nth1(X22,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f2894,f8638])). 119.69/119.01 tff(f11130,plain,( 119.69/119.01 spl8_590 | spl8_1108 | ~spl8_12 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11105,f8416,f751,f11128,f5266])). 119.69/119.01 tff(f11128,plain,( 119.69/119.01 spl8_1108 <=> ! [X20 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20)) | nil(int) = X20 | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,cons_proj_21(int,X20))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1108])])). 119.69/119.01 tff(f11105,plain,( 119.69/119.01 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | nil(int) = X20) ) | (~spl8_12 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11101])). 119.69/119.01 tff(f11101,plain,( 119.69/119.01 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | nil(int) = X20) ) | (~spl8_12 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f2241,f8638])). 119.69/119.01 tff(f11126,plain,( 119.69/119.01 spl8_600 | spl8_1106 | spl8_41 | ~spl8_154 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11106,f8416,f1101,f522,f11124,f5287])). 119.69/119.01 tff(f11124,plain,( 119.69/119.01 spl8_1106 <=> ! [X16 : uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X16)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | nil(int) = X16 | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1106])])). 119.69/119.01 tff(f11106,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X16)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X18) = nth1(X17,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11100])). 119.69/119.01 tff(f11100,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X16)) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X18) = nth1(X17,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f2063,f8638])). 119.69/119.01 tff(f11122,plain,( 119.69/119.01 spl8_600 | spl8_1104 | spl8_41 | ~spl8_154 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11107,f8416,f1101,f522,f11120,f5287])). 119.69/119.01 tff(f11120,plain,( 119.69/119.01 spl8_1104 <=> ! [X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12)) | nil(int) = X12 | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),cons_proj_21(int,X12))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1104])])). 119.69/119.01 tff(f11107,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X14) = nth1(X13,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11099])). 119.69/119.01 tff(f11099,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X14) = nth1(X13,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f1948,f8638])). 119.69/119.01 tff(f11118,plain,( 119.69/119.01 spl8_600 | spl8_1102 | spl8_41 | ~spl8_154 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11108,f8416,f1101,f522,f11116,f5287])). 119.69/119.01 tff(f11116,plain,( 119.69/119.01 spl8_1102 <=> ! [X8 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8)) | nil(int) = X8 | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1102])])). 119.69/119.01 tff(f11108,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11098])). 119.69/119.01 tff(f11098,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f1946,f8638])). 119.69/119.01 tff(f11114,plain,( 119.69/119.01 spl8_600 | spl8_1100 | spl8_41 | ~spl8_154 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f11109,f8416,f1101,f522,f11112,f5287])). 119.69/119.01 tff(f11112,plain,( 119.69/119.01 spl8_1100 <=> ! [X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X4)) | nil(int) = X4 | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1100])])). 119.69/119.01 tff(f11109,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(evaluation,[],[f11097])). 119.69/119.01 tff(f11097,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f1945,f8638])). 119.69/119.01 tff(f10993,plain,( 119.69/119.01 spl8_1098 | ~spl8_608), 119.69/119.01 inference(avatar_split_clause,[],[f10989,f5305,f10991])). 119.69/119.01 tff(f10989,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) | ~spl8_608), 119.69/119.01 inference(forward_demodulation,[],[f10972,f238])). 119.69/119.01 tff(f10972,plain,( 119.69/119.01 nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_608), 119.69/119.01 inference(superposition,[],[f238,f5306])). 119.69/119.01 tff(f10988,plain,( 119.69/119.01 spl8_1096 | spl8_604 | ~spl8_608), 119.69/119.01 inference(avatar_split_clause,[],[f10977,f5305,f10881,f10986])). 119.69/119.01 tff(f10977,plain,( 119.69/119.01 ( ! [X0:$int] : ($less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_608), 119.69/119.01 inference(trivial_inequality_removal,[],[f10964])). 119.69/119.01 tff(f10964,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_608), 119.69/119.01 inference(superposition,[],[f269,f5306])). 119.69/119.01 tff(f10956,plain,( 119.69/119.01 spl8_604 | spl8_1094 | ~spl8_602), 119.69/119.01 inference(avatar_split_clause,[],[f10952,f5290,f10954,f10881])). 119.69/119.01 tff(f10954,plain,( 119.69/119.01 spl8_1094 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(X0))) | ~zero_at1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1094])])). 119.69/119.01 tff(f10952,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(X0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~zero_at1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) ) | ~spl8_602), 119.69/119.01 inference(resolution,[],[f5291,f269])). 119.69/119.01 tff(f10942,plain,( 119.69/119.01 spl8_1090 | ~spl8_608 | ~spl8_1088), 119.69/119.01 inference(avatar_split_clause,[],[f10941,f10871,f5305,f10874])). 119.69/119.01 tff(f10874,plain,( 119.69/119.01 spl8_1090 <=> zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1090])])). 119.69/119.01 tff(f10871,plain,( 119.69/119.01 spl8_1088 <=> $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1088])])). 119.69/119.01 tff(f10941,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | (~spl8_608 | ~spl8_1088)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10940])). 119.69/119.01 tff(f10940,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | (~spl8_608 | ~spl8_1088)), 119.69/119.01 inference(forward_demodulation,[],[f10937,f5306])). 119.69/119.01 tff(f10937,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_1088), 119.69/119.01 inference(resolution,[],[f10872,f266])). 119.69/119.01 tff(f10872,plain,( 119.69/119.01 $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0) | ~spl8_1088), 119.69/119.01 inference(avatar_component_clause,[],[f10871])). 119.69/119.01 tff(f10887,plain,( 119.69/119.01 spl8_604 | spl8_618 | ~spl8_1093 | ~spl8_34 | ~spl8_160), 119.69/119.01 inference(avatar_split_clause,[],[f5864,f1116,f403,f10884,f5330,f10881])). 119.69/119.01 tff(f5330,plain,( 119.69/119.01 spl8_618 <=> zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_618])])). 119.69/119.01 tff(f10884,plain,( 119.69/119.01 spl8_1093 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1093])])). 119.69/119.01 tff(f5864,plain,( 119.69/119.01 ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | (~spl8_34 | ~spl8_160)), 119.69/119.01 inference(trivial_inequality_removal,[],[f5855])). 119.69/119.01 tff(f5855,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | (~spl8_34 | ~spl8_160)), 119.69/119.01 inference(superposition,[],[f5498,f1117])). 119.69/119.01 tff(f10886,plain,( 119.69/119.01 spl8_604 | spl8_618 | ~spl8_1093 | ~spl8_34 | ~spl8_614), 119.69/119.01 inference(avatar_split_clause,[],[f6531,f5321,f403,f10884,f5330,f10881])). 119.69/119.01 tff(f6531,plain,( 119.69/119.01 ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | (~spl8_34 | ~spl8_614)), 119.69/119.01 inference(trivial_inequality_removal,[],[f6496])). 119.69/119.01 tff(f6496,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | (~spl8_34 | ~spl8_614)), 119.69/119.01 inference(superposition,[],[f5498,f5322])). 119.69/119.01 tff(f10879,plain,( 119.69/119.01 spl8_602 | spl8_618 | ~spl8_614), 119.69/119.01 inference(avatar_split_clause,[],[f6528,f5321,f5330,f5290])). 119.69/119.01 tff(f6528,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_614), 119.69/119.01 inference(trivial_inequality_removal,[],[f6498])). 119.69/119.01 tff(f6498,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_614), 119.69/119.01 inference(superposition,[],[f265,f5322])). 119.69/119.01 tff(f10878,plain,( 119.69/119.01 spl8_608 | spl8_618 | ~spl8_614), 119.69/119.01 inference(avatar_split_clause,[],[f6526,f5321,f5330,f5305])). 119.69/119.01 tff(f6526,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_614), 119.69/119.01 inference(trivial_inequality_removal,[],[f6500])). 119.69/119.01 tff(f6500,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_614), 119.69/119.01 inference(superposition,[],[f267,f5322])). 119.69/119.01 tff(f10877,plain,( 119.69/119.01 ~spl8_1087 | spl8_618 | spl8_1088 | spl8_1090 | ~spl8_34 | ~spl8_614), 119.69/119.01 inference(avatar_split_clause,[],[f7588,f5321,f403,f10874,f10871,f5330,f10868])). 119.69/119.01 tff(f10868,plain,( 119.69/119.01 spl8_1087 <=> ~$less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1087])])). 119.69/119.01 tff(f7588,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_614)), 119.69/119.01 inference(trivial_inequality_removal,[],[f7569])). 119.69/119.01 tff(f7569,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_614)), 119.69/119.01 inference(superposition,[],[f5860,f5322])). 119.69/119.01 tff(f10876,plain,( 119.69/119.01 ~spl8_1087 | spl8_618 | spl8_1088 | spl8_1090 | ~spl8_34 | ~spl8_160), 119.69/119.01 inference(avatar_split_clause,[],[f7585,f1116,f403,f10874,f10871,f5330,f10868])). 119.69/119.01 tff(f7585,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_160)), 119.69/119.01 inference(trivial_inequality_removal,[],[f7574])). 119.69/119.01 tff(f7574,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),0) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_160)), 119.69/119.01 inference(superposition,[],[f5860,f1117])). 119.69/119.01 tff(f10865,plain,( 119.69/119.01 spl8_1084 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10861,f10080,f10863])). 119.69/119.01 tff(f10863,plain,( 119.69/119.01 spl8_1084 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1084])])). 119.69/119.01 tff(f10861,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2)) | ~spl8_1012), 119.69/119.01 inference(forward_demodulation,[],[f10789,f238])). 119.69/119.01 tff(f10789,plain,( 119.69/119.01 nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_1012), 119.69/119.01 inference(superposition,[],[f238,f10081])). 119.69/119.01 tff(f10081,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | ~spl8_1012), 119.69/119.01 inference(avatar_component_clause,[],[f10080])). 119.69/119.01 tff(f10860,plain,( 119.69/119.01 spl8_1082 | spl8_1062 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10802,f10080,f10818,f10858])). 119.69/119.01 tff(f10858,plain,( 119.69/119.01 spl8_1082 <=> ! [X0 : $int] : (~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X0) | ~zero_at1(sK2,X0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1082])])). 119.69/119.01 tff(f10802,plain,( 119.69/119.01 ( ! [X0:$int] : ($less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1012), 119.69/119.01 inference(evaluation,[],[f10801])). 119.69/119.01 tff(f10801,plain,( 119.69/119.01 ( ! [X0:$int] : ($less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1012), 119.69/119.01 inference(trivial_inequality_removal,[],[f10781])). 119.69/119.01 tff(f10781,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_1012), 119.69/119.01 inference(superposition,[],[f269,f10081])). 119.69/119.01 tff(f10856,plain,( 119.69/119.01 spl8_1080 | spl8_1066 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10803,f10080,f10825,f10854])). 119.69/119.01 tff(f10854,plain,( 119.69/119.01 spl8_1080 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1080])])). 119.69/119.01 tff(f10803,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),t2tb1(sK2))) | ~spl8_1012), 119.69/119.01 inference(trivial_inequality_removal,[],[f10780])). 119.69/119.01 tff(f10780,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),t2tb1(sK2))) | ~spl8_1012), 119.69/119.01 inference(superposition,[],[f267,f10081])). 119.69/119.01 tff(f10852,plain,( 119.69/119.01 ~spl8_1073 | spl8_1066 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10804,f10080,f10825,f10850])). 119.69/119.01 tff(f10850,plain,( 119.69/119.01 spl8_1073 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1073])])). 119.69/119.01 tff(f10804,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0) | ~spl8_1012), 119.69/119.01 inference(trivial_inequality_removal,[],[f10779])). 119.69/119.01 tff(f10779,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0) | ~spl8_1012), 119.69/119.01 inference(superposition,[],[f266,f10081])). 119.69/119.01 tff(f10848,plain,( 119.69/119.01 spl8_1078 | spl8_1066 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10805,f10080,f10825,f10846])). 119.69/119.01 tff(f10846,plain,( 119.69/119.01 spl8_1078 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1078])])). 119.69/119.01 tff(f10805,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~spl8_1012), 119.69/119.01 inference(trivial_inequality_removal,[],[f10778])). 119.69/119.01 tff(f10778,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~spl8_1012), 119.69/119.01 inference(superposition,[],[f265,f10081])). 119.69/119.01 tff(f10844,plain,( 119.69/119.01 ~spl8_1077 | spl8_1062 | ~spl8_34 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10809,f10080,f403,f10818,f10842])). 119.69/119.01 tff(f10842,plain,( 119.69/119.01 spl8_1077 <=> ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1077])])). 119.69/119.01 tff(f10809,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(evaluation,[],[f10808])). 119.69/119.01 tff(f10808,plain,( 119.69/119.01 $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10776])). 119.69/119.01 tff(f10776,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(superposition,[],[f901,f10081])). 119.69/119.01 tff(f10840,plain,( 119.69/119.01 spl8_1072 | spl8_1066 | ~spl8_1075 | ~spl8_34 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10810,f10080,f403,f10838,f10825,f10835])). 119.69/119.01 tff(f10838,plain,( 119.69/119.01 spl8_1075 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1075])])). 119.69/119.01 tff(f10810,plain,( 119.69/119.01 ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10775])). 119.69/119.01 tff(f10775,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)),0) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(superposition,[],[f5498,f10081])). 119.69/119.01 tff(f10833,plain,( 119.69/119.01 ~spl8_1065 | spl8_1066 | spl8_1068 | spl8_1070 | ~spl8_34 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10811,f10080,f403,f10831,f10828,f10825,f10822])). 119.69/119.01 tff(f10822,plain,( 119.69/119.01 spl8_1065 <=> ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1065])])). 119.69/119.01 tff(f10828,plain,( 119.69/119.01 spl8_1068 <=> $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1068])])). 119.69/119.01 tff(f10831,plain,( 119.69/119.01 spl8_1070 <=> zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1070])])). 119.69/119.01 tff(f10811,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10774])). 119.69/119.01 tff(f10774,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_1012)), 119.69/119.01 inference(superposition,[],[f5860,f10081])). 119.69/119.01 tff(f10820,plain,( 119.69/119.01 ~spl8_1061 | spl8_1062 | ~spl8_618 | ~spl8_1012), 119.69/119.01 inference(avatar_split_clause,[],[f10813,f10080,f5330,f10818,f10815])). 119.69/119.01 tff(f10815,plain,( 119.69/119.01 spl8_1061 <=> ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1061])])). 119.69/119.01 tff(f10813,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_618 | ~spl8_1012)), 119.69/119.01 inference(evaluation,[],[f10812])). 119.69/119.01 tff(f10812,plain,( 119.69/119.01 $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_618 | ~spl8_1012)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10773])). 119.69/119.01 tff(f10773,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_618 | ~spl8_1012)), 119.69/119.01 inference(superposition,[],[f6302,f10081])). 119.69/119.01 tff(f6302,plain,( 119.69/119.01 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK2))) | $less(X3,0) | ~$less(X3,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) ) | ~spl8_618), 119.69/119.01 inference(resolution,[],[f5331,f269])). 119.69/119.01 tff(f5331,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_618), 119.69/119.01 inference(avatar_component_clause,[],[f5330])). 119.69/119.01 tff(f10717,plain,( 119.69/119.01 spl8_1058 | ~spl8_1057 | spl8_1053), 119.69/119.01 inference(avatar_split_clause,[],[f10713,f10288,f10702,f10715])). 119.69/119.01 tff(f10715,plain,( 119.69/119.01 spl8_1058 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),cons(int,t2tb2(sK0),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1058])])). 119.69/119.01 tff(f10702,plain,( 119.69/119.01 spl8_1057 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1057])])). 119.69/119.01 tff(f10288,plain,( 119.69/119.01 spl8_1053 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1053])])). 119.69/119.01 tff(f10713,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),cons(int,t2tb2(sK0),t2tb1(sK2)))) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10712,f285])). 119.69/119.01 tff(f10712,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),cons(int,t2tb2(sK0),t2tb1(sK2)))) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10711,f234])). 119.69/119.01 tff(f10711,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),cons(int,t2tb2(sK0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10694,f234])). 119.69/119.01 tff(f10694,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),t2tb1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))) | ~spl8_1053), 119.69/119.01 inference(resolution,[],[f10289,f267])). 119.69/119.01 tff(f10289,plain,( 119.69/119.01 ~zero_at1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0) | ~spl8_1053), 119.69/119.01 inference(avatar_component_clause,[],[f10288])). 119.69/119.01 tff(f10710,plain,( 119.69/119.01 ~spl8_1055 | ~spl8_1057 | spl8_1053), 119.69/119.01 inference(avatar_split_clause,[],[f10706,f10288,f10702,f10708])). 119.69/119.01 tff(f10708,plain,( 119.69/119.01 spl8_1055 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1055])])). 119.69/119.01 tff(f10706,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10705,f285])). 119.69/119.01 tff(f10705,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10693,f234])). 119.69/119.01 tff(f10693,plain,( 119.69/119.01 ~$less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))) | ~spl8_1053), 119.69/119.01 inference(resolution,[],[f10289,f266])). 119.69/119.01 tff(f10704,plain,( 119.69/119.01 spl8_1054 | ~spl8_1057 | spl8_1053), 119.69/119.01 inference(avatar_split_clause,[],[f10697,f10288,f10702,f10699])). 119.69/119.01 tff(f10699,plain,( 119.69/119.01 spl8_1054 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1054])])). 119.69/119.01 tff(f10697,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK0))) | $less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10696,f285])). 119.69/119.01 tff(f10696,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | ~spl8_1053), 119.69/119.01 inference(forward_demodulation,[],[f10692,f234])). 119.69/119.01 tff(f10692,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2)))))) | ~spl8_1053), 119.69/119.01 inference(resolution,[],[f10289,f265])). 119.69/119.01 tff(f10290,plain,( 119.69/119.01 spl8_1050 | ~spl8_1053 | spl8_91 | ~spl8_226 | ~spl8_240 | ~spl8_898), 119.69/119.01 inference(avatar_split_clause,[],[f10283,f8227,f1654,f1490,f866,f10288,f10285])). 119.69/119.01 tff(f10283,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (~zero_at1(tb2t1(cons(int,t2tb2(sK0),t2tb1(sK2))),0) | nth1(X3,$sum(sK0,-1),X4) = nth1(X3,sK0,cons(X3,X5,X4))) ) | (~spl8_91 | ~spl8_226 | ~spl8_240 | ~spl8_898)), 119.69/119.01 inference(resolution,[],[f10145,f2188])). 119.69/119.01 tff(f10145,plain,( 119.69/119.01 ( ! [X0:list_int] : (~zero_at1(X0,sK0) | ~zero_at1(X0,0)) ) | (~spl8_91 | ~spl8_240 | ~spl8_898)), 119.69/119.01 inference(resolution,[],[f9467,f1655])). 119.69/119.01 tff(f9467,plain,( 119.69/119.01 ( ! [X0:$int,X1:list_int] : (~$less(0,X0) | ~zero_at1(X1,0) | ~zero_at1(X1,X0)) ) | (~spl8_91 | ~spl8_898)), 119.69/119.01 inference(forward_demodulation,[],[f9447,f8228])). 119.69/119.01 tff(f9447,plain,( 119.69/119.01 ( ! [X0:$int,X1:list_int] : (~$less(0,X0) | ~zero_at1(X1,X0) | ~zero_at1(X1,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) ) | (~spl8_91 | ~spl8_898)), 119.69/119.01 inference(superposition,[],[f7201,f8228])). 119.69/119.01 tff(f7201,plain,( 119.69/119.01 ( ! [X2:$int,X1:list_int] : (~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) ) | ~spl8_91), 119.69/119.01 inference(trivial_inequality_removal,[],[f7200])). 119.69/119.01 tff(f7200,plain,( 119.69/119.01 ( ! [X2:$int,X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X2) | ~zero_at1(X1,X2) | ~zero_at1(X1,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) ) | ~spl8_91), 119.69/119.01 inference(superposition,[],[f5604,f268])). 119.69/119.01 tff(f5604,plain,( 119.69/119.01 ( ! [X8:list_int,X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X8))) | ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X9) | ~zero_at1(X8,X9)) ) | ~spl8_91), 119.69/119.01 inference(resolution,[],[f867,f269])). 119.69/119.01 tff(f10211,plain,( 119.69/119.01 spl8_1034 | spl8_1048 | spl8_41 | ~spl8_154 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10176,f5658,f1101,f522,f10209,f10183])). 119.69/119.01 tff(f10183,plain,( 119.69/119.01 spl8_1034 <=> ! [X5 : ty,X7 : uni,X6 : uni] : nth1(X5,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X6) = nth1(X5,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X5,X7,X6))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1034])])). 119.69/119.01 tff(f10209,plain,( 119.69/119.01 spl8_1048 <=> ! [X21 : uni] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X21)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | nil(int) = X21 | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1048])])). 119.69/119.01 tff(f5658,plain,( 119.69/119.01 spl8_682 <=> ! [X13 : ty,X15 : uni,X14 : uni] : nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X14) = nth1(X13,$sum(sK3,$uminus($sum(sK0,1))),cons(X13,X15,X14))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_682])])). 119.69/119.01 tff(f10176,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X21)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X23) = nth1(X22,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(evaluation,[],[f10174])). 119.69/119.01 tff(f10174,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X21)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum($sum(sK3,$uminus($sum(sK0,1))),-1),-1),X23) = nth1(X22,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f2894,f6701])). 119.69/119.01 tff(f6701,plain,( 119.69/119.01 ( ! [X0:ty,X1:uni] : (nth1(X0,$sum(sK3,$uminus($sum(sK0,1))),X1) = nth1(X0,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_682), 119.69/119.01 inference(superposition,[],[f5659,f260])). 119.69/119.01 tff(f5659,plain,( 119.69/119.01 ( ! [X14:uni,X15:uni,X13:ty] : (nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X14) = nth1(X13,$sum(sK3,$uminus($sum(sK0,1))),cons(X13,X15,X14))) ) | ~spl8_682), 119.69/119.01 inference(avatar_component_clause,[],[f5658])). 119.69/119.01 tff(f10207,plain,( 119.69/119.01 spl8_1044 | spl8_1046 | ~spl8_12 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10173,f5658,f751,f10205,f10202])). 119.69/119.01 tff(f10202,plain,( 119.69/119.01 spl8_1044 <=> $less($sum($sum(sK3,$uminus($sum(sK0,1))),-1),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1044])])). 119.69/119.01 tff(f10205,plain,( 119.69/119.01 spl8_1046 <=> ! [X20 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X20)) | nil(int) = X20 | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | ~$less($sum($sum(sK3,$uminus($sum(sK0,1))),-1),length1(int,cons_proj_21(int,X20))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1046])])). 119.69/119.01 tff(f10173,plain,( 119.69/119.01 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X20)) | ~$less($sum($sum(sK3,$uminus($sum(sK0,1))),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less($sum($sum(sK3,$uminus($sum(sK0,1))),-1),0) | nil(int) = X20) ) | (~spl8_12 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f2241,f6701])). 119.69/119.01 tff(f10200,plain,( 119.69/119.01 spl8_1034 | spl8_1042 | spl8_41 | ~spl8_154 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10177,f5658,f1101,f522,f10198,f10183])). 119.69/119.01 tff(f10198,plain,( 119.69/119.01 spl8_1042 <=> ! [X16 : uni] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X16)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | nil(int) = X16 | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1042])])). 119.69/119.01 tff(f10177,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X16)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X18) = nth1(X17,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(evaluation,[],[f10172])). 119.69/119.01 tff(f10172,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X16)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus($sum(sK0,1))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum($sum(sK3,$uminus($sum(sK0,1))),-1),-1),X18) = nth1(X17,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f2063,f6701])). 119.69/119.01 tff(f10196,plain,( 119.69/119.01 spl8_1034 | spl8_1040 | spl8_41 | ~spl8_154 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10178,f5658,f1101,f522,f10194,f10183])). 119.69/119.01 tff(f10194,plain,( 119.69/119.01 spl8_1040 <=> ! [X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X12)) | nil(int) = X12 | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),cons_proj_21(int,X12))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1040])])). 119.69/119.01 tff(f10178,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X14) = nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(evaluation,[],[f10171])). 119.69/119.01 tff(f10171,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum($sum(sK3,$uminus($sum(sK0,1))),-1),-1),X14) = nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f1948,f6701])). 119.69/119.01 tff(f10192,plain,( 119.69/119.01 spl8_1034 | spl8_1038 | spl8_41 | ~spl8_154 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10179,f5658,f1101,f522,f10190,f10183])). 119.69/119.01 tff(f10190,plain,( 119.69/119.01 spl8_1038 <=> ! [X8 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X8)) | nil(int) = X8 | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1038])])). 119.69/119.01 tff(f10179,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X10) = nth1(X9,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(evaluation,[],[f10170])). 119.69/119.01 tff(f10170,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum($sum(sK3,$uminus($sum(sK0,1))),-1),-1),X10) = nth1(X9,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f1946,f6701])). 119.69/119.01 tff(f10188,plain,( 119.69/119.01 spl8_1034 | spl8_1036 | spl8_41 | ~spl8_154 | ~spl8_682), 119.69/119.01 inference(avatar_split_clause,[],[f10180,f5658,f1101,f522,f10186,f10183])). 119.69/119.01 tff(f10186,plain,( 119.69/119.01 spl8_1036 <=> ! [X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X4)) | nil(int) = X4 | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1036])])). 119.69/119.01 tff(f10180,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum(sK3,$uminus($sum(sK0,1))),-2),X6) = nth1(X5,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(evaluation,[],[f10169])). 119.69/119.01 tff(f10169,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum($sum(sK3,$uminus($sum(sK0,1))),-1),-1),X6) = nth1(X5,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)),$sum($sum(sK3,$uminus($sum(sK0,1))),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_682)), 119.69/119.01 inference(superposition,[],[f1945,f6701])). 119.69/119.01 tff(f10133,plain,( 119.69/119.01 spl8_1032 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10129,f10002,f10131])). 119.69/119.01 tff(f10131,plain,( 119.69/119.01 spl8_1032 <=> some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1032])])). 119.69/119.01 tff(f10002,plain,( 119.69/119.01 spl8_1002 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1002])])). 119.69/119.01 tff(f10129,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_1002), 119.69/119.01 inference(forward_demodulation,[],[f10069,f238])). 119.69/119.01 tff(f10069,plain,( 119.69/119.01 nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_1002), 119.69/119.01 inference(superposition,[],[f238,f10003])). 119.69/119.01 tff(f10003,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_1002), 119.69/119.01 inference(avatar_component_clause,[],[f10002])). 119.69/119.01 tff(f10122,plain,( 119.69/119.01 ~spl8_1031 | spl8_1026 | spl8_145 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10074,f10002,f5433,f10113,f10120])). 119.69/119.01 tff(f10120,plain,( 119.69/119.01 spl8_1031 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1031])])). 119.69/119.01 tff(f10113,plain,( 119.69/119.01 spl8_1026 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(X0,X2,X1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1026])])). 119.69/119.01 tff(f10074,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (nth1(X3,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X4) = nth1(X3,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(X3,X5,X4)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),0)) ) | (~spl8_145 | ~spl8_1002)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10061])). 119.69/119.01 tff(f10061,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X3,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X4) = nth1(X3,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(X3,X5,X4)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),0)) ) | (~spl8_145 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f5520,f10003])). 119.69/119.01 tff(f10118,plain,( 119.69/119.01 spl8_1026 | spl8_1028 | spl8_145 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10075,f10002,f5433,f10116,f10113])). 119.69/119.01 tff(f10116,plain,( 119.69/119.01 spl8_1028 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1028])])). 119.69/119.01 tff(f10075,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_1002)), 119.69/119.01 inference(trivial_inequality_removal,[],[f10060])). 119.69/119.01 tff(f10060,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),X1) = nth1(X0,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f5522,f10003])). 119.69/119.01 tff(f10111,plain,( 119.69/119.01 spl8_1024 | spl8_1012 | ~spl8_120 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10059,f10002,f954,f10080,f10109])). 119.69/119.01 tff(f10109,plain,( 119.69/119.01 spl8_1024 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1024])])). 119.69/119.01 tff(f10059,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f8035])). 119.69/119.01 tff(f10107,plain,( 119.69/119.01 spl8_1022 | spl8_1012 | ~spl8_876 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10058,f10002,f8032,f10080,f10105])). 119.69/119.01 tff(f10105,plain,( 119.69/119.01 spl8_1022 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1022])])). 119.69/119.01 tff(f10058,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))) | (~spl8_876 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f8033])). 119.69/119.01 tff(f10103,plain,( 119.69/119.01 spl8_1020 | spl8_1012 | spl8_97 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10057,f10002,f878,f10080,f10101])). 119.69/119.01 tff(f10101,plain,( 119.69/119.01 spl8_1020 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1020])])). 119.69/119.01 tff(f10057,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))) | (~spl8_97 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f5770])). 119.69/119.01 tff(f10099,plain,( 119.69/119.01 spl8_1014 | spl8_1012 | ~spl8_414 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10056,f10002,f3189,f10080,f10086])). 119.69/119.01 tff(f10086,plain,( 119.69/119.01 spl8_1014 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1014])])). 119.69/119.01 tff(f10056,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) | (~spl8_414 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f3190])). 119.69/119.01 tff(f10098,plain,( 119.69/119.01 spl8_1012 | spl8_1018 | ~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10094,f10002,f5904,f2410,f1746,f10096,f10080])). 119.69/119.01 tff(f10096,plain,( 119.69/119.01 spl8_1018 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1018])])). 119.69/119.01 tff(f10094,plain,( 119.69/119.01 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | (~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_1002)), 119.69/119.01 inference(forward_demodulation,[],[f10093,f2411])). 119.69/119.01 tff(f10093,plain,( 119.69/119.01 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | (~spl8_266 | ~spl8_710 | ~spl8_1002)), 119.69/119.01 inference(forward_demodulation,[],[f10055,f5905])). 119.69/119.01 tff(f10055,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))) | (~spl8_266 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f2415])). 119.69/119.01 tff(f10092,plain,( 119.69/119.01 spl8_1016 | spl8_1012 | ~spl8_100 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10054,f10002,f895,f10080,f10090])). 119.69/119.01 tff(f10090,plain,( 119.69/119.01 spl8_1016 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1016])])). 119.69/119.01 tff(f10054,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f1857])). 119.69/119.01 tff(f10088,plain,( 119.69/119.01 spl8_1012 | spl8_1014 | ~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10084,f10002,f5904,f1741,f1382,f10086,f10080])). 119.69/119.01 tff(f10084,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | (~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_1002)), 119.69/119.01 inference(forward_demodulation,[],[f10083,f1742])). 119.69/119.01 tff(f10083,plain,( 119.69/119.01 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | (~spl8_214 | ~spl8_710 | ~spl8_1002)), 119.69/119.01 inference(forward_demodulation,[],[f10053,f5905])). 119.69/119.01 tff(f10053,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))),t2tb1(sK2)))) | (~spl8_214 | ~spl8_1002)), 119.69/119.01 inference(superposition,[],[f10003,f1734])). 119.69/119.01 tff(f10082,plain,( 119.69/119.01 spl8_1010 | spl8_1012 | ~spl8_1002), 119.69/119.01 inference(avatar_split_clause,[],[f10052,f10002,f10080,f10077])). 119.69/119.01 tff(f10077,plain,( 119.69/119.01 spl8_1010 <=> 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1010])])). 119.69/119.01 tff(f10052,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~spl8_1002), 119.69/119.01 inference(superposition,[],[f10003,f287])). 119.69/119.01 tff(f10030,plain,( 119.69/119.01 spl8_1008 | ~spl8_1007 | spl8_953), 119.69/119.01 inference(avatar_split_clause,[],[f10026,f9396,f10015,f10028])). 119.69/119.01 tff(f10028,plain,( 119.69/119.01 spl8_1008 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),cons(int,t2tb2(1),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1008])])). 119.69/119.01 tff(f10015,plain,( 119.69/119.01 spl8_1007 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1007])])). 119.69/119.01 tff(f9396,plain,( 119.69/119.01 spl8_953 <=> ~zero_at1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_953])])). 119.69/119.01 tff(f10026,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),cons(int,t2tb2(1),t2tb1(sK2)))) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10025,f285])). 119.69/119.01 tff(f10025,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),cons(int,t2tb2(1),t2tb1(sK2)))) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10024,f234])). 119.69/119.01 tff(f10024,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),cons(int,t2tb2(1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2)))))) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10007,f234])). 119.69/119.01 tff(f10007,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),t2tb1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2)))))) | ~spl8_953), 119.69/119.01 inference(resolution,[],[f9397,f267])). 119.69/119.01 tff(f9397,plain,( 119.69/119.01 ~zero_at1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0) | ~spl8_953), 119.69/119.01 inference(avatar_component_clause,[],[f9396])). 119.69/119.01 tff(f10023,plain,( 119.69/119.01 ~spl8_1005 | ~spl8_1007 | spl8_953), 119.69/119.01 inference(avatar_split_clause,[],[f10019,f9396,f10015,f10021])). 119.69/119.01 tff(f10021,plain,( 119.69/119.01 spl8_1005 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1005])])). 119.69/119.01 tff(f10019,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(1))) | ~$less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10018,f285])). 119.69/119.01 tff(f10018,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10006,f234])). 119.69/119.01 tff(f10006,plain,( 119.69/119.01 ~$less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2)))))) | ~spl8_953), 119.69/119.01 inference(resolution,[],[f9397,f266])). 119.69/119.01 tff(f10017,plain,( 119.69/119.01 spl8_1004 | ~spl8_1007 | spl8_953), 119.69/119.01 inference(avatar_split_clause,[],[f10010,f9396,f10015,f10012])). 119.69/119.01 tff(f10012,plain,( 119.69/119.01 spl8_1004 <=> $less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1004])])). 119.69/119.01 tff(f10010,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(1))) | $less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10009,f285])). 119.69/119.01 tff(f10009,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | ~spl8_953), 119.69/119.01 inference(forward_demodulation,[],[f10005,f234])). 119.69/119.01 tff(f10005,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2)))))) | ~spl8_953), 119.69/119.01 inference(resolution,[],[f9397,f265])). 119.69/119.01 tff(f10004,plain,( 119.69/119.01 spl8_910 | spl8_1002 | spl8_145 | ~spl8_162), 119.69/119.01 inference(avatar_split_clause,[],[f8445,f1121,f5433,f10002,f8416])). 119.69/119.01 tff(f1121,plain,( 119.69/119.01 spl8_162 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_162])])). 119.69/119.01 tff(f8445,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_162)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8419])). 119.69/119.01 tff(f8419,plain,( 119.69/119.01 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_145 | ~spl8_162)), 119.69/119.01 inference(superposition,[],[f5522,f1122])). 119.69/119.01 tff(f1122,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_162), 119.69/119.01 inference(avatar_component_clause,[],[f1121])). 119.69/119.01 tff(f10000,plain,( 119.69/119.01 spl8_918 | spl8_996 | spl8_55 | spl8_97), 119.69/119.01 inference(avatar_split_clause,[],[f8693,f878,f711,f9969,f8591])). 119.69/119.01 tff(f8591,plain,( 119.69/119.01 spl8_918 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_918])])). 119.69/119.01 tff(f711,plain,( 119.69/119.01 spl8_55 <=> ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_55])])). 119.69/119.01 tff(f8693,plain,( 119.69/119.01 ( ! [X6:uni,X8:$int,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X7)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X8) | ~zero_at1(tb2t1(cons(int,X6,X7)),X8) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_97)), 119.69/119.01 inference(superposition,[],[f8371,f5770])). 119.69/119.01 tff(f8371,plain,( 119.69/119.01 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_55), 119.69/119.01 inference(superposition,[],[f806,f234])). 119.69/119.01 tff(f806,plain,( 119.69/119.01 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(X2))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_55), 119.69/119.01 inference(resolution,[],[f712,f269])). 119.69/119.01 tff(f712,plain,( 119.69/119.01 ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0) | ~spl8_55), 119.69/119.01 inference(avatar_component_clause,[],[f711])). 119.69/119.01 tff(f9999,plain,( 119.69/119.01 spl8_996 | spl8_922 | spl8_55 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9998,f5904,f2410,f1746,f711,f8600,f9969])). 119.69/119.01 tff(f8600,plain,( 119.69/119.01 spl8_922 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_922])])). 119.69/119.01 tff(f9998,plain,( 119.69/119.01 ( ! [X10:uni,X11:$int,X9:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X10)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X11) | ~zero_at1(tb2t1(cons(int,X9,X10)),X11)) ) | (~spl8_55 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9997,f2411])). 119.69/119.01 tff(f9997,plain,( 119.69/119.01 ( ! [X10:uni,X11:$int,X9:uni] : (some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X10)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X11) | ~zero_at1(tb2t1(cons(int,X9,X10)),X11)) ) | (~spl8_55 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8694,f5905])). 119.69/119.01 tff(f8694,plain,( 119.69/119.01 ( ! [X10:uni,X11:$int,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X10)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X11) | ~zero_at1(tb2t1(cons(int,X9,X10)),X11) | some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))) ) | (~spl8_55 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f8371,f2415])). 119.69/119.01 tff(f9996,plain,( 119.69/119.01 spl8_924 | spl8_996 | spl8_55 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f8695,f3189,f711,f9969,f8604])). 119.69/119.01 tff(f8604,plain,( 119.69/119.01 spl8_924 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_924])])). 119.69/119.01 tff(f8695,plain,( 119.69/119.01 ( ! [X14:$int,X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X13)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X14) | ~zero_at1(tb2t1(cons(int,X12,X13)),X14) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) ) | (~spl8_55 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f8371,f3190])). 119.69/119.01 tff(f9995,plain,( 119.69/119.01 spl8_926 | spl8_996 | spl8_55 | ~spl8_100), 119.69/119.01 inference(avatar_split_clause,[],[f8696,f895,f711,f9969,f8608])). 119.69/119.01 tff(f8608,plain,( 119.69/119.01 spl8_926 <=> tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_926])])). 119.69/119.01 tff(f8696,plain,( 119.69/119.01 ( ! [X17:$int,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X16)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X17) | ~zero_at1(tb2t1(cons(int,X15,X16)),X17) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_100)), 119.69/119.01 inference(superposition,[],[f8371,f1857])). 119.69/119.01 tff(f9994,plain,( 119.69/119.01 spl8_996 | spl8_924 | spl8_55 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9993,f5904,f1741,f1382,f711,f8604,f9969])). 119.69/119.01 tff(f9993,plain,( 119.69/119.01 ( ! [X19:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X19)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20) | ~zero_at1(tb2t1(cons(int,X18,X19)),X20)) ) | (~spl8_55 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9992,f1742])). 119.69/119.01 tff(f9992,plain,( 119.69/119.01 ( ! [X19:uni,X20:$int,X18:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X19)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20) | ~zero_at1(tb2t1(cons(int,X18,X19)),X20)) ) | (~spl8_55 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8697,f5905])). 119.69/119.01 tff(f8697,plain,( 119.69/119.01 ( ! [X19:uni,X20:$int,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X19)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X20) | ~zero_at1(tb2t1(cons(int,X18,X19)),X20) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f8371,f1734])). 119.69/119.01 tff(f9991,plain,( 119.69/119.01 spl8_158 | spl8_996 | spl8_55), 119.69/119.01 inference(avatar_split_clause,[],[f8698,f711,f9969,f1113])). 119.69/119.01 tff(f8698,plain,( 119.69/119.01 ( ! [X23:$int,X21:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X22)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X23) | ~zero_at1(tb2t1(cons(int,X21,X22)),X23) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_55), 119.69/119.01 inference(superposition,[],[f8371,f287])). 119.69/119.01 tff(f9990,plain,( 119.69/119.01 spl8_918 | spl8_998 | spl8_55 | spl8_97), 119.69/119.01 inference(avatar_split_clause,[],[f8763,f878,f711,f9973,f8591])). 119.69/119.01 tff(f8763,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_97)), 119.69/119.01 inference(forward_demodulation,[],[f8737,f244])). 119.69/119.01 tff(f8737,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X3)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X2,X3))) | ~no_zero1(tb2t1(cons(int,X2,X3))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_97)), 119.69/119.01 inference(superposition,[],[f8384,f5770])). 119.69/119.01 tff(f8384,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,X0)) | ~no_zero1(tb2t1(X0))) ) | ~spl8_55), 119.69/119.01 inference(forward_demodulation,[],[f8380,f234])). 119.69/119.01 tff(f8380,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | ~spl8_55), 119.69/119.01 inference(superposition,[],[f807,f234])). 119.69/119.01 tff(f807,plain,( 119.69/119.01 ( ! [X4:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(X4))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_55), 119.69/119.01 inference(resolution,[],[f712,f250])). 119.69/119.01 tff(f9989,plain,( 119.69/119.01 spl8_998 | spl8_922 | spl8_55 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9988,f5904,f2410,f1746,f711,f8600,f9973])). 119.69/119.01 tff(f9988,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5)))) ) | (~spl8_55 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9987,f2411])). 119.69/119.01 tff(f9987,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5)))) ) | (~spl8_55 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8764,f5905])). 119.69/119.01 tff(f8764,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5))) | some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))) ) | (~spl8_55 | ~spl8_266)), 119.69/119.01 inference(forward_demodulation,[],[f8738,f244])). 119.69/119.01 tff(f8738,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X5)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X4,X5))) | ~no_zero1(tb2t1(cons(int,X4,X5))) | some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))) ) | (~spl8_55 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f8384,f2415])). 119.69/119.01 tff(f9986,plain,( 119.69/119.01 spl8_924 | spl8_998 | spl8_55 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f8765,f3189,f711,f9973,f8604])). 119.69/119.01 tff(f8765,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) ) | (~spl8_55 | ~spl8_414)), 119.69/119.01 inference(forward_demodulation,[],[f8739,f244])). 119.69/119.01 tff(f8739,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X7)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X6,X7))) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) ) | (~spl8_55 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f8384,f3190])). 119.69/119.01 tff(f9985,plain,( 119.69/119.01 spl8_926 | spl8_998 | spl8_55 | ~spl8_100), 119.69/119.01 inference(avatar_split_clause,[],[f8766,f895,f711,f9973,f8608])). 119.69/119.01 tff(f8766,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_100)), 119.69/119.01 inference(forward_demodulation,[],[f8740,f244])). 119.69/119.01 tff(f8740,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X9)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X8,X9))) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_100)), 119.69/119.01 inference(superposition,[],[f8384,f1857])). 119.69/119.01 tff(f9984,plain,( 119.69/119.01 spl8_998 | spl8_924 | spl8_55 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9983,f5904,f1741,f1382,f711,f8604,f9973])). 119.69/119.01 tff(f9983,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X11))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X11)) | ~no_zero1(tb2t1(cons(int,X10,X11)))) ) | (~spl8_55 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9982,f1742])). 119.69/119.01 tff(f9982,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X11))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X11)) | ~no_zero1(tb2t1(cons(int,X10,X11)))) ) | (~spl8_55 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8767,f5905])). 119.69/119.01 tff(f8767,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X11))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X11)) | ~no_zero1(tb2t1(cons(int,X10,X11))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(forward_demodulation,[],[f8741,f244])). 119.69/119.01 tff(f8741,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X11)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X10,X11))) | ~no_zero1(tb2t1(cons(int,X10,X11))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f8384,f1734])). 119.69/119.01 tff(f9981,plain,( 119.69/119.01 spl8_158 | spl8_998 | spl8_55), 119.69/119.01 inference(avatar_split_clause,[],[f8768,f711,f9973,f1113])). 119.69/119.01 tff(f8768,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X13))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X13)) | ~no_zero1(tb2t1(cons(int,X12,X13))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_55), 119.69/119.01 inference(forward_demodulation,[],[f8742,f244])). 119.69/119.01 tff(f8742,plain,( 119.69/119.01 ( ! [X12:uni,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X13)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X12,X13))) | ~no_zero1(tb2t1(cons(int,X12,X13))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_55), 119.69/119.01 inference(superposition,[],[f8384,f287])). 119.69/119.01 tff(f9980,plain,( 119.69/119.01 spl8_1000 | spl8_998 | spl8_55 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f8903,f8032,f711,f9973,f9977])). 119.69/119.01 tff(f9977,plain,( 119.69/119.01 spl8_1000 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_1000])])). 119.69/119.01 tff(f8903,plain,( 119.69/119.01 ( ! [X99:uni,X100:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X100))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X100)) | ~no_zero1(tb2t1(cons(int,X99,X100))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_876)), 119.69/119.01 inference(forward_demodulation,[],[f8857,f244])). 119.69/119.01 tff(f8857,plain,( 119.69/119.01 ( ! [X99:uni,X100:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X100)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X99,X100))) | ~no_zero1(tb2t1(cons(int,X99,X100))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f8384,f8033])). 119.69/119.01 tff(f9979,plain,( 119.69/119.01 spl8_1000 | spl8_996 | spl8_55 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f8858,f8032,f711,f9969,f9977])). 119.69/119.01 tff(f8858,plain,( 119.69/119.01 ( ! [X103:$int,X101:uni,X102:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X102)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X103) | ~zero_at1(tb2t1(cons(int,X101,X102)),X103) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f8371,f8033])). 119.69/119.01 tff(f9975,plain,( 119.69/119.01 spl8_994 | spl8_998 | spl8_55 | ~spl8_120), 119.69/119.01 inference(avatar_split_clause,[],[f9027,f954,f711,f9973,f9966])). 119.69/119.01 tff(f9966,plain,( 119.69/119.01 spl8_994 <=> tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_994])])). 119.69/119.01 tff(f9027,plain,( 119.69/119.01 ( ! [X107:uni,X108:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X108))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X108)) | ~no_zero1(tb2t1(cons(int,X107,X108))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_120)), 119.69/119.01 inference(forward_demodulation,[],[f8988,f244])). 119.69/119.01 tff(f8988,plain,( 119.69/119.01 ( ! [X107:uni,X108:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X108)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X107,X108))) | ~no_zero1(tb2t1(cons(int,X107,X108))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_120)), 119.69/119.01 inference(superposition,[],[f8384,f8035])). 119.69/119.01 tff(f9971,plain,( 119.69/119.01 spl8_994 | spl8_996 | spl8_55 | ~spl8_120), 119.69/119.01 inference(avatar_split_clause,[],[f8989,f954,f711,f9969,f9966])). 119.69/119.01 tff(f8989,plain,( 119.69/119.01 ( ! [X111:$int,X109:uni,X110:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X110)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X111) | ~zero_at1(tb2t1(cons(int,X109,X110)),X111) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_55 | ~spl8_120)), 119.69/119.01 inference(superposition,[],[f8371,f8035])). 119.69/119.01 tff(f9964,plain,( 119.69/119.01 spl8_26 | ~spl8_993 | spl8_150 | ~spl8_618), 119.69/119.01 inference(avatar_split_clause,[],[f9937,f5330,f2271,f9960,f367])). 119.69/119.01 tff(f9960,plain,( 119.69/119.01 spl8_993 <=> ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_993])])). 119.69/119.01 tff(f9937,plain,( 119.69/119.01 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | no_zero1(sK2) | ~spl8_618), 119.69/119.01 inference(trivial_inequality_removal,[],[f9934])). 119.69/119.01 tff(f9934,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | no_zero1(sK2) | ~spl8_618), 119.69/119.01 inference(superposition,[],[f6302,f249])). 119.69/119.01 tff(f9963,plain,( 119.69/119.01 ~spl8_989 | spl8_590 | ~spl8_160 | ~spl8_618), 119.69/119.01 inference(avatar_split_clause,[],[f9943,f5330,f1116,f5266,f9952])). 119.69/119.01 tff(f9952,plain,( 119.69/119.01 spl8_989 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_989])])). 119.69/119.01 tff(f9943,plain,( 119.69/119.01 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_618)), 119.69/119.01 inference(evaluation,[],[f9942])). 119.69/119.01 tff(f9942,plain,( 119.69/119.01 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_618)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9931])). 119.69/119.01 tff(f9931,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_618)), 119.69/119.01 inference(superposition,[],[f6302,f1117])). 119.69/119.01 tff(f9962,plain,( 119.69/119.01 ~spl8_993 | spl8_150 | ~spl8_328 | ~spl8_618), 119.69/119.01 inference(avatar_split_clause,[],[f9945,f5330,f2293,f2271,f9960])). 119.69/119.01 tff(f9945,plain,( 119.69/119.01 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_328 | ~spl8_618)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9929])). 119.69/119.01 tff(f9929,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_328 | ~spl8_618)), 119.69/119.01 inference(superposition,[],[f6302,f2294])). 119.69/119.01 tff(f9958,plain,( 119.69/119.01 ~spl8_991 | spl8_128 | ~spl8_132 | ~spl8_618), 119.69/119.01 inference(avatar_split_clause,[],[f9946,f5330,f1018,f1006,f9956])). 119.69/119.01 tff(f9956,plain,( 119.69/119.01 spl8_991 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_991])])). 119.69/119.01 tff(f9946,plain,( 119.69/119.01 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_132 | ~spl8_618)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9928])). 119.69/119.01 tff(f9928,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_132 | ~spl8_618)), 119.69/119.01 inference(superposition,[],[f6302,f1019])). 119.69/119.01 tff(f9954,plain,( 119.69/119.01 ~spl8_989 | spl8_590 | ~spl8_614 | ~spl8_618), 119.69/119.01 inference(avatar_split_clause,[],[f9950,f5330,f5321,f5266,f9952])). 119.69/119.01 tff(f9950,plain,( 119.69/119.01 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_614 | ~spl8_618)), 119.69/119.01 inference(evaluation,[],[f9949])). 119.69/119.01 tff(f9949,plain,( 119.69/119.01 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_614 | ~spl8_618)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9926])). 119.69/119.01 tff(f9926,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_614 | ~spl8_618)), 119.69/119.01 inference(superposition,[],[f6302,f5322])). 119.69/119.01 tff(f9714,plain,( 119.69/119.01 spl8_94 | spl8_986 | ~spl8_137 | ~spl8_62 | spl8_67 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f9713,f8079,f767,f759,f1027,f9705,f5438])). 119.69/119.01 tff(f5438,plain,( 119.69/119.01 spl8_94 <=> zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_94])])). 119.69/119.01 tff(f9713,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | $less(0,$sum(sK3,$uminus(sK0))) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | (~spl8_62 | ~spl8_67 | ~spl8_888)), 119.69/119.01 inference(forward_demodulation,[],[f9712,f5835])). 119.69/119.01 tff(f9712,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | $less(0,$sum(sK3,$uminus(sK0))) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_888), 119.69/119.01 inference(forward_demodulation,[],[f9698,f234])). 119.69/119.01 tff(f9698,plain,( 119.69/119.01 $less(0,$sum(sK3,$uminus(sK0))) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_888), 119.69/119.01 inference(superposition,[],[f265,f8080])). 119.69/119.01 tff(f9711,plain,( 119.69/119.01 spl8_986 | spl8_644 | ~spl8_114 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f9710,f8079,f940,f5441,f9705])). 119.69/119.01 tff(f940,plain,( 119.69/119.01 spl8_114 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_114])])). 119.69/119.01 tff(f9710,plain,( 119.69/119.01 ( ! [X21:uni,X22:uni,X20:ty] : (some(X20,X22) = nth1(X20,-1,X21) | $less(0,$sum(sK3,$uminus(sK0)))) ) | (~spl8_114 | ~spl8_888)), 119.69/119.01 inference(forward_demodulation,[],[f9701,f285])). 119.69/119.01 tff(f9701,plain,( 119.69/119.01 ( ! [X21:uni,X22:uni,X20:ty] : ($less(0,$sum(sK3,$uminus(sK0))) | nth1(X20,-1,X21) = nth1(X20,0,cons(X20,X22,X21))) ) | (~spl8_114 | ~spl8_888)), 119.69/119.01 inference(evaluation,[],[f9693])). 119.69/119.01 tff(f9693,plain,( 119.69/119.01 ( ! [X21:uni,X22:uni,X20:ty] : ($less(0,$sum(sK3,$uminus(sK0))) | nth1(X20,$sum(0,-1),X21) = nth1(X20,0,cons(X20,X22,X21))) ) | (~spl8_114 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f1628,f8080])). 119.69/119.01 tff(f1628,plain,( 119.69/119.01 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_114), 119.69/119.01 inference(superposition,[],[f941,f287])). 119.69/119.01 tff(f941,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_114), 119.69/119.01 inference(avatar_component_clause,[],[f940])). 119.69/119.01 tff(f9707,plain,( 119.69/119.01 spl8_986 | ~spl8_114 | ~spl8_888), 119.69/119.01 inference(avatar_split_clause,[],[f9679,f8079,f940,f9705])). 119.69/119.01 tff(f9679,plain,( 119.69/119.01 $less(0,$sum(sK3,$uminus(sK0))) | (~spl8_114 | ~spl8_888)), 119.69/119.01 inference(superposition,[],[f941,f8080])). 119.69/119.01 tff(f9664,plain,( 119.69/119.01 ~spl8_259 | spl8_984 | spl8_261), 119.69/119.01 inference(avatar_split_clause,[],[f1765,f1704,f9662,f1698])). 119.69/119.01 tff(f1698,plain,( 119.69/119.01 spl8_259 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,-1,t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_259])])). 119.69/119.01 tff(f9662,plain,( 119.69/119.01 spl8_984 <=> $less(sK7(sK2,-1),-1)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_984])])). 119.69/119.01 tff(f1704,plain,( 119.69/119.01 spl8_261 <=> ~zero_at1(sK2,-1)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_261])])). 119.69/119.01 tff(f1765,plain,( 119.69/119.01 $less(sK7(sK2,-1),-1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,-1,t2tb1(sK2))) | ~spl8_261), 119.69/119.01 inference(resolution,[],[f1705,f265])). 119.69/119.01 tff(f1705,plain,( 119.69/119.01 ~zero_at1(sK2,-1) | ~spl8_261), 119.69/119.01 inference(avatar_component_clause,[],[f1704])). 119.69/119.01 tff(f9660,plain,( 119.69/119.01 ~spl8_259 | spl8_982 | spl8_261), 119.69/119.01 inference(avatar_split_clause,[],[f1767,f1704,f9658,f1698])). 119.69/119.01 tff(f9658,plain,( 119.69/119.01 spl8_982 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,-1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_982])])). 119.69/119.01 tff(f1767,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,-1,t2tb1(sK2))) | ~spl8_261), 119.69/119.01 inference(resolution,[],[f1705,f267])). 119.69/119.01 tff(f9654,plain,( 119.69/119.01 spl8_896 | spl8_884 | ~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f9653,f8091,f5904,f1741,f1382,f8068,f8138])). 119.69/119.01 tff(f8138,plain,( 119.69/119.01 spl8_896 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_896])])). 119.69/119.01 tff(f8068,plain,( 119.69/119.01 spl8_884 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_884])])). 119.69/119.01 tff(f9653,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f9652,f1742])). 119.69/119.01 tff(f9652,plain,( 119.69/119.01 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_214 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f8123,f5905])). 119.69/119.01 tff(f8123,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_214 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f1734,f8092])). 119.69/119.01 tff(f9651,plain,( 119.69/119.01 spl8_896 | spl8_882 | ~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f9650,f8091,f5904,f2410,f1746,f8064,f8138])). 119.69/119.01 tff(f8064,plain,( 119.69/119.01 spl8_882 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_882])])). 119.69/119.01 tff(f9650,plain,( 119.69/119.01 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f9649,f2411])). 119.69/119.01 tff(f9649,plain,( 119.69/119.01 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_266 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f8120,f5905])). 119.69/119.01 tff(f8120,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f2415,f8092])). 119.69/119.01 tff(f9648,plain,( 119.69/119.01 spl8_896 | spl8_884 | ~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f9647,f8091,f5904,f1741,f1382,f8068,f8138])). 119.69/119.01 tff(f9647,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_214 | ~spl8_264 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f9646,f1742])). 119.69/119.01 tff(f9646,plain,( 119.69/119.01 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_214 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f8117,f5905])). 119.69/119.01 tff(f8117,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_214 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8092,f1734])). 119.69/119.01 tff(f9645,plain,( 119.69/119.01 spl8_896 | spl8_882 | ~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f9644,f8091,f5904,f2410,f1746,f8064,f8138])). 119.69/119.01 tff(f9644,plain,( 119.69/119.01 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_266 | ~spl8_348 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f9643,f2411])). 119.69/119.01 tff(f9643,plain,( 119.69/119.01 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_266 | ~spl8_710 | ~spl8_890)), 119.69/119.01 inference(forward_demodulation,[],[f8114,f5905])). 119.69/119.01 tff(f8114,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8092,f2415])). 119.69/119.01 tff(f9642,plain,( 119.69/119.01 spl8_980 | spl8_896 | ~spl8_876 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f8808,f8091,f8032,f8138,f9630])). 119.69/119.01 tff(f9630,plain,( 119.69/119.01 spl8_980 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_980])])). 119.69/119.01 tff(f8808,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_876 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8033,f8092])). 119.69/119.01 tff(f9641,plain,( 119.69/119.01 spl8_980 | spl8_896 | ~spl8_876 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f8837,f8091,f8032,f8138,f9630])). 119.69/119.01 tff(f8837,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_876 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8092,f8033])). 119.69/119.01 tff(f9640,plain,( 119.69/119.01 spl8_978 | spl8_896 | ~spl8_120 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f8936,f8091,f954,f8138,f9626])). 119.69/119.01 tff(f9626,plain,( 119.69/119.01 spl8_978 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_978])])). 119.69/119.01 tff(f8936,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8035,f8092])). 119.69/119.01 tff(f9639,plain,( 119.69/119.01 spl8_978 | spl8_896 | ~spl8_120 | ~spl8_890), 119.69/119.01 inference(avatar_split_clause,[],[f8968,f8091,f954,f8138,f9626])). 119.69/119.01 tff(f8968,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_890)), 119.69/119.01 inference(superposition,[],[f8092,f8035])). 119.69/119.01 tff(f9638,plain,( 119.69/119.01 spl8_880 | spl8_884 | ~spl8_120 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9637,f5904,f1741,f1382,f954,f8068,f8058])). 119.69/119.01 tff(f8058,plain,( 119.69/119.01 spl8_880 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_880])])). 119.69/119.01 tff(f9637,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_120 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9636,f1742])). 119.69/119.01 tff(f9636,plain,( 119.69/119.01 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_120 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8040,f5905])). 119.69/119.01 tff(f8040,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f955,f1734])). 119.69/119.01 tff(f9635,plain,( 119.69/119.01 spl8_880 | spl8_882 | ~spl8_120 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f9634,f5904,f2410,f1746,f954,f8064,f8058])). 119.69/119.01 tff(f9634,plain,( 119.69/119.01 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_120 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f9633,f2411])). 119.69/119.01 tff(f9633,plain,( 119.69/119.01 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_120 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8037,f5905])). 119.69/119.01 tff(f8037,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_120 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f955,f2415])). 119.69/119.01 tff(f9632,plain,( 119.69/119.01 spl8_980 | spl8_880 | ~spl8_120 | ~spl8_876), 119.69/119.01 inference(avatar_split_clause,[],[f8838,f8032,f954,f8058,f9630])). 119.69/119.01 tff(f8838,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_120 | ~spl8_876)), 119.69/119.01 inference(superposition,[],[f955,f8033])). 119.69/119.01 tff(f9628,plain,( 119.69/119.01 spl8_978 | spl8_880 | ~spl8_120), 119.69/119.01 inference(avatar_split_clause,[],[f8969,f954,f8058,f9626])). 119.69/119.01 tff(f8969,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | ~spl8_120), 119.69/119.01 inference(superposition,[],[f955,f8035])). 119.69/119.01 tff(f9549,plain,( 119.69/119.01 spl8_976 | spl8_970 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9497,f8138,f9531,f9547])). 119.69/119.01 tff(f9547,plain,( 119.69/119.01 spl8_976 <=> ! [X0 : $int] : (~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X0) | ~zero_at1(sK2,X0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_976])])). 119.69/119.01 tff(f9531,plain,( 119.69/119.01 spl8_970 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_970])])). 119.69/119.01 tff(f9497,plain,( 119.69/119.01 ( ! [X0:$int] : ($less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_896), 119.69/119.01 inference(evaluation,[],[f9496])). 119.69/119.01 tff(f9496,plain,( 119.69/119.01 ( ! [X0:$int] : ($less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_896), 119.69/119.01 inference(trivial_inequality_removal,[],[f9476])). 119.69/119.01 tff(f9476,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_896), 119.69/119.01 inference(superposition,[],[f269,f8139])). 119.69/119.01 tff(f8139,plain,( 119.69/119.01 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | ~spl8_896), 119.69/119.01 inference(avatar_component_clause,[],[f8138])). 119.69/119.01 tff(f9545,plain,( 119.69/119.01 spl8_974 | spl8_958 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9498,f8138,f9511,f9543])). 119.69/119.01 tff(f9543,plain,( 119.69/119.01 spl8_974 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_974])])). 119.69/119.01 tff(f9511,plain,( 119.69/119.01 spl8_958 <=> zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_958])])). 119.69/119.01 tff(f9498,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))) | ~spl8_896), 119.69/119.01 inference(trivial_inequality_removal,[],[f9475])). 119.69/119.01 tff(f9475,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),t2tb1(sK2))) | ~spl8_896), 119.69/119.01 inference(superposition,[],[f267,f8139])). 119.69/119.01 tff(f9541,plain,( 119.69/119.01 ~spl8_965 | spl8_958 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9499,f8138,f9511,f9539])). 119.69/119.01 tff(f9539,plain,( 119.69/119.01 spl8_965 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_965])])). 119.69/119.01 tff(f9499,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | ~spl8_896), 119.69/119.01 inference(trivial_inequality_removal,[],[f9474])). 119.69/119.01 tff(f9474,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | ~spl8_896), 119.69/119.01 inference(superposition,[],[f266,f8139])). 119.69/119.01 tff(f9537,plain,( 119.69/119.01 spl8_972 | spl8_958 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9500,f8138,f9511,f9535])). 119.69/119.01 tff(f9535,plain,( 119.69/119.01 spl8_972 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_972])])). 119.69/119.01 tff(f9500,plain,( 119.69/119.01 zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~spl8_896), 119.69/119.01 inference(trivial_inequality_removal,[],[f9473])). 119.69/119.01 tff(f9473,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~spl8_896), 119.69/119.01 inference(superposition,[],[f265,f8139])). 119.69/119.01 tff(f9533,plain,( 119.69/119.01 ~spl8_969 | spl8_970 | ~spl8_34 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9504,f8138,f403,f9531,f9528])). 119.69/119.01 tff(f9528,plain,( 119.69/119.01 spl8_969 <=> ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_969])])). 119.69/119.01 tff(f9504,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),1) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(evaluation,[],[f9503])). 119.69/119.01 tff(f9503,plain,( 119.69/119.01 $less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9471])). 119.69/119.01 tff(f9471,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),0) | ~$less($sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(superposition,[],[f901,f8139])). 119.69/119.01 tff(f9526,plain,( 119.69/119.01 spl8_964 | spl8_958 | ~spl8_967 | ~spl8_34 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9505,f8138,f403,f9524,f9511,f9521])). 119.69/119.01 tff(f9521,plain,( 119.69/119.01 spl8_964 <=> $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_964])])). 119.69/119.01 tff(f9524,plain,( 119.69/119.01 spl8_967 <=> ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_967])])). 119.69/119.01 tff(f9505,plain,( 119.69/119.01 ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9470])). 119.69/119.01 tff(f9470,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),$sum(sK3,$uminus($sum(sK0,1)))) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | $less(sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)),0) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(superposition,[],[f5498,f8139])). 119.69/119.01 tff(f9519,plain,( 119.69/119.01 ~spl8_957 | spl8_958 | spl8_960 | spl8_962 | ~spl8_34 | ~spl8_896), 119.69/119.01 inference(avatar_split_clause,[],[f9506,f8138,f403,f9517,f9514,f9511,f9508])). 119.69/119.01 tff(f9508,plain,( 119.69/119.01 spl8_957 <=> ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_957])])). 119.69/119.01 tff(f9514,plain,( 119.69/119.01 spl8_960 <=> $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_960])])). 119.69/119.01 tff(f9517,plain,( 119.69/119.01 spl8_962 <=> zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_962])])). 119.69/119.01 tff(f9506,plain,( 119.69/119.01 zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(trivial_inequality_removal,[],[f9469])). 119.69/119.01 tff(f9469,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))) | $less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),0) | zero_at1(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1)) | ~$less(sK7(sK2,sK7(sK2,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_896)), 119.69/119.01 inference(superposition,[],[f5860,f8139])). 119.69/119.01 tff(f9430,plain,( 119.69/119.01 spl8_482 | spl8_488 | spl8_41 | ~spl8_62 | spl8_67 | ~spl8_154), 119.69/119.01 inference(avatar_split_clause,[],[f9419,f1101,f767,f759,f522,f4151,f4140])). 119.69/119.01 tff(f4151,plain,( 119.69/119.01 spl8_488 <=> ! [X8 : uni] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X8)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | nil(int) = X8 | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),0),0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_488])])). 119.69/119.01 tff(f9419,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X21)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum(sK3,$uminus(sK0)),-2),X23) = nth1(X22,$sum($sum(sK3,$uminus(sK0)),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(evaluation,[],[f9417])). 119.69/119.01 tff(f9417,plain,( 119.69/119.01 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X21)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X23) = nth1(X22,$sum($sum(sK3,$uminus(sK0)),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(superposition,[],[f2894,f6551])). 119.69/119.01 tff(f6551,plain,( 119.69/119.01 ( ! [X0:ty,X1:uni] : (nth1(X0,$sum(sK3,$uminus(sK0)),X1) = nth1(X0,$sum($sum(sK3,$uminus(sK0)),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | (~spl8_62 | ~spl8_67)), 119.69/119.01 inference(superposition,[],[f5835,f260])). 119.69/119.01 tff(f9429,plain,( 119.69/119.01 spl8_518 | spl8_520 | ~spl8_12 | ~spl8_62 | spl8_67), 119.69/119.01 inference(avatar_split_clause,[],[f9416,f767,f759,f751,f4625,f4622])). 119.69/119.01 tff(f4625,plain,( 119.69/119.01 spl8_520 <=> ! [X18 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X18)) | nil(int) = X18 | cons(int,cons_proj_11(int,cons_proj_21(int,X18)),cons_proj_21(int,cons_proj_21(int,X18))) = cons_proj_21(int,X18) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),length1(int,cons_proj_21(int,X18))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_520])])). 119.69/119.01 tff(f9416,plain,( 119.69/119.01 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X20)) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less($sum($sum(sK3,$uminus(sK0)),-1),0) | nil(int) = X20) ) | (~spl8_12 | ~spl8_62 | ~spl8_67)), 119.69/119.01 inference(superposition,[],[f2241,f6551])). 119.69/119.01 tff(f9428,plain,( 119.69/119.01 spl8_482 | spl8_484 | spl8_41 | ~spl8_62 | spl8_67 | ~spl8_154), 119.69/119.01 inference(avatar_split_clause,[],[f9420,f1101,f767,f759,f522,f4143,f4140])). 119.69/119.01 tff(f4143,plain,( 119.69/119.01 spl8_484 <=> ! [X0 : uni] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X0)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | nil(int) = X0 | cons(int,cons_proj_11(int,cons_proj_21(int,X0)),cons_proj_21(int,cons_proj_21(int,X0))) = cons_proj_21(int,X0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X0)),0),cons_proj_21(int,X0))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_484])])). 119.69/119.01 tff(f9420,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X16)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(sK3,$uminus(sK0)),-2),X18) = nth1(X17,$sum($sum(sK3,$uminus(sK0)),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(evaluation,[],[f9415])). 119.69/119.01 tff(f9415,plain,( 119.69/119.01 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X16)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X18) = nth1(X17,$sum($sum(sK3,$uminus(sK0)),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(superposition,[],[f2063,f6551])). 119.69/119.01 tff(f9427,plain,( 119.69/119.01 spl8_482 | spl8_486 | spl8_41 | ~spl8_62 | spl8_67 | ~spl8_154), 119.69/119.01 inference(avatar_split_clause,[],[f9421,f1101,f767,f759,f522,f4147,f4140])). 119.69/119.01 tff(f4147,plain,( 119.69/119.01 spl8_486 <=> ! [X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X4)) | nil(int) = X4 | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus(sK0)),-1)),cons_proj_21(int,X4))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_486])])). 119.69/119.01 tff(f9421,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus(sK0)),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(sK3,$uminus(sK0)),-2),X14) = nth1(X13,$sum($sum(sK3,$uminus(sK0)),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(evaluation,[],[f9414])). 119.69/119.01 tff(f9414,plain,( 119.69/119.01 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus(sK0)),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X14) = nth1(X13,$sum($sum(sK3,$uminus(sK0)),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(superposition,[],[f1948,f6551])). 119.69/119.01 tff(f9426,plain,( 119.69/119.01 spl8_482 | spl8_490 | spl8_41 | ~spl8_62 | spl8_67 | ~spl8_154), 119.69/119.01 inference(avatar_split_clause,[],[f9422,f1101,f767,f759,f522,f4155,f4140])). 119.69/119.01 tff(f4155,plain,( 119.69/119.01 spl8_490 <=> ! [X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X12)) | nil(int) = X12 | ~$less(sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus(sK0)),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_490])])). 119.69/119.01 tff(f9422,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum(sK3,$uminus(sK0)),-2),X10) = nth1(X9,$sum($sum(sK3,$uminus(sK0)),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum($sum(sK3,$uminus(sK0)),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(evaluation,[],[f9413])). 119.69/119.01 tff(f9413,plain,( 119.69/119.01 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X10) = nth1(X9,$sum($sum(sK3,$uminus(sK0)),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum($sum(sK3,$uminus(sK0)),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(superposition,[],[f1946,f6551])). 119.69/119.01 tff(f9425,plain,( 119.69/119.01 spl8_482 | spl8_492 | spl8_41 | ~spl8_62 | spl8_67 | ~spl8_154), 119.69/119.01 inference(avatar_split_clause,[],[f9423,f1101,f767,f759,f522,f4159,f4140])). 119.69/119.01 tff(f4159,plain,( 119.69/119.01 spl8_492 <=> ! [X16 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X16)) | nil(int) = X16 | $less(sK7(tb2t1(cons_proj_21(int,X16)),$sum($sum(sK3,$uminus(sK0)),-1)),$sum($sum(sK3,$uminus(sK0)),-1)) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_492])])). 119.69/119.01 tff(f9423,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum(sK3,$uminus(sK0)),-2),X6) = nth1(X5,$sum($sum(sK3,$uminus(sK0)),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus(sK0)),-1)),$sum($sum(sK3,$uminus(sK0)),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(evaluation,[],[f9412])). 119.69/119.01 tff(f9412,plain,( 119.69/119.01 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X6) = nth1(X5,$sum($sum(sK3,$uminus(sK0)),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus(sK0)),-1)),$sum($sum(sK3,$uminus(sK0)),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_62 | ~spl8_67 | ~spl8_154)), 119.69/119.01 inference(superposition,[],[f1945,f6551])). 119.69/119.01 tff(f9408,plain,( 119.69/119.01 spl8_732 | spl8_954 | ~spl8_730), 119.69/119.01 inference(avatar_split_clause,[],[f9399,f6321,f9406,f9403])). 119.69/119.01 tff(f9403,plain,( 119.69/119.01 spl8_732 <=> $less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_732])])). 119.69/119.01 tff(f9406,plain,( 119.69/119.01 spl8_954 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(X0))) | ~zero_at1(X0,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_954])])). 119.69/119.01 tff(f6321,plain,( 119.69/119.01 spl8_730 <=> $less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_730])])). 119.69/119.01 tff(f9399,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(X0))) | $less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),0) | ~zero_at1(X0,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))))) ) | ~spl8_730), 119.69/119.01 inference(resolution,[],[f6322,f269])). 119.69/119.01 tff(f6322,plain,( 119.69/119.01 $less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))) | ~spl8_730), 119.69/119.01 inference(avatar_component_clause,[],[f6321])). 119.69/119.01 tff(f9398,plain,( 119.69/119.01 spl8_894 | ~spl8_953 | ~spl8_226 | ~spl8_620 | ~spl8_898), 119.69/119.01 inference(avatar_split_clause,[],[f9394,f8227,f5342,f1490,f9396,f8102])). 119.69/119.01 tff(f8102,plain,( 119.69/119.01 spl8_894 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,0,X1) = nth1(X0,1,cons(X0,X2,X1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_894])])). 119.69/119.01 tff(f5342,plain,( 119.69/119.01 spl8_620 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,1))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_620])])). 119.69/119.01 tff(f9394,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (~zero_at1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0) | nth1(X3,0,X4) = nth1(X3,1,cons(X3,X5,X4))) ) | (~spl8_226 | ~spl8_620 | ~spl8_898)), 119.69/119.01 inference(evaluation,[],[f9393])). 119.69/119.01 tff(f9393,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni,X3:ty] : (~zero_at1(tb2t1(cons(int,t2tb2(1),t2tb1(sK2))),0) | nth1(X3,$sum(1,-1),X4) = nth1(X3,1,cons(X3,X5,X4))) ) | (~spl8_226 | ~spl8_620 | ~spl8_898)), 119.69/119.01 inference(resolution,[],[f9342,f2188])). 119.69/119.01 tff(f9342,plain,( 119.69/119.01 ( ! [X0:list_int] : (~zero_at1(X0,1) | ~zero_at1(X0,0)) ) | (~spl8_620 | ~spl8_898)), 119.69/119.01 inference(forward_demodulation,[],[f9339,f8228])). 119.69/119.01 tff(f9339,plain,( 119.69/119.01 ( ! [X0:list_int] : (~zero_at1(X0,1) | ~zero_at1(X0,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) ) | ~spl8_620), 119.69/119.01 inference(trivial_inequality_removal,[],[f9338])). 119.69/119.01 tff(f9338,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(X0,1) | ~zero_at1(X0,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) ) | ~spl8_620), 119.69/119.01 inference(superposition,[],[f5343,f268])). 119.69/119.01 tff(f5343,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,1)) ) | ~spl8_620), 119.69/119.01 inference(avatar_component_clause,[],[f5342])). 119.69/119.01 tff(f9320,plain,( 119.69/119.01 spl8_950 | ~spl8_947 | spl8_943), 119.69/119.01 inference(avatar_split_clause,[],[f9316,f9268,f9307,f9318])). 119.69/119.01 tff(f9318,plain,( 119.69/119.01 spl8_950 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_950])])). 119.69/119.01 tff(f9307,plain,( 119.69/119.01 spl8_947 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_947])])). 119.69/119.01 tff(f9268,plain,( 119.69/119.01 spl8_943 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_943])])). 119.69/119.01 tff(f9316,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_943), 119.69/119.01 inference(forward_demodulation,[],[f9315,f234])). 119.69/119.01 tff(f9315,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_943), 119.69/119.01 inference(forward_demodulation,[],[f9300,f234])). 119.69/119.01 tff(f9300,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_943), 119.69/119.01 inference(resolution,[],[f9269,f267])). 119.69/119.01 tff(f9269,plain,( 119.69/119.01 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1) | ~spl8_943), 119.69/119.01 inference(avatar_component_clause,[],[f9268])). 119.69/119.01 tff(f9314,plain,( 119.69/119.01 ~spl8_949 | ~spl8_947 | spl8_943), 119.69/119.01 inference(avatar_split_clause,[],[f9310,f9268,f9307,f9312])). 119.69/119.01 tff(f9312,plain,( 119.69/119.01 spl8_949 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_949])])). 119.69/119.01 tff(f9310,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),0) | ~spl8_943), 119.69/119.01 inference(forward_demodulation,[],[f9299,f234])). 119.69/119.01 tff(f9299,plain,( 119.69/119.01 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_943), 119.69/119.01 inference(resolution,[],[f9269,f266])). 119.69/119.01 tff(f9309,plain,( 119.69/119.01 spl8_944 | ~spl8_947 | spl8_943), 119.69/119.01 inference(avatar_split_clause,[],[f9302,f9268,f9307,f9304])). 119.69/119.01 tff(f9302,plain,( 119.69/119.01 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,cons(int,t2tb2(0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),1) | ~spl8_943), 119.69/119.01 inference(forward_demodulation,[],[f9298,f234])). 119.69/119.01 tff(f9298,plain,( 119.69/119.01 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1),1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_943), 119.69/119.01 inference(resolution,[],[f9269,f265])). 119.69/119.01 tff(f9270,plain,( 119.69/119.01 ~spl8_943 | ~spl8_270 | ~spl8_808), 119.69/119.01 inference(avatar_split_clause,[],[f9252,f7204,f1792,f9268])). 119.69/119.01 tff(f7204,plain,( 119.69/119.01 spl8_808 <=> ! [X0 : $int] : (~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_808])])). 119.69/119.01 tff(f9252,plain,( 119.69/119.01 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),1) | (~spl8_270 | ~spl8_808)), 119.69/119.01 inference(resolution,[],[f7205,f1793])). 119.69/119.01 tff(f7205,plain,( 119.69/119.01 ( ! [X0:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0)) ) | ~spl8_808), 119.69/119.01 inference(avatar_component_clause,[],[f7204])). 119.69/119.01 tff(f9241,plain,( 119.69/119.01 spl8_722 | spl8_940 | ~spl8_720), 119.69/119.01 inference(avatar_split_clause,[],[f9234,f6250,f9239,f9236])). 119.69/119.01 tff(f9236,plain,( 119.69/119.01 spl8_722 <=> $less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_722])])). 119.69/119.01 tff(f9239,plain,( 119.69/119.01 spl8_940 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(X0))) | ~zero_at1(X0,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_940])])). 119.69/119.01 tff(f6250,plain,( 119.69/119.01 spl8_720 <=> $less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_720])])). 119.69/119.01 tff(f9234,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(X0))) | $less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),0) | ~zero_at1(X0,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))))) ) | ~spl8_720), 119.69/119.01 inference(resolution,[],[f6251,f269])). 119.69/119.01 tff(f6251,plain,( 119.69/119.01 $less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))) | ~spl8_720), 119.69/119.01 inference(avatar_component_clause,[],[f6250])). 119.69/119.01 tff(f9222,plain,( 119.69/119.01 spl8_934 | ~spl8_664), 119.69/119.01 inference(avatar_split_clause,[],[f9221,f5571,f8727])). 119.69/119.01 tff(f9221,plain,( 119.69/119.01 some(int,t2tb2(sK1)) = some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_664), 119.69/119.01 inference(forward_demodulation,[],[f9208,f285])). 119.69/119.01 tff(f9208,plain,( 119.69/119.01 some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_664), 119.69/119.01 inference(superposition,[],[f285,f5572])). 119.69/119.01 tff(f9147,plain,( 119.69/119.01 ~spl8_939 | spl8_279 | ~spl8_898), 119.69/119.01 inference(avatar_split_clause,[],[f9141,f8227,f1810,f9145])). 119.69/119.01 tff(f9145,plain,( 119.69/119.01 spl8_939 <=> ~$less(sK7(sK2,-1),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_939])])). 119.69/119.01 tff(f9141,plain,( 119.69/119.01 ~$less(sK7(sK2,-1),0) | (~spl8_279 | ~spl8_898)), 119.69/119.01 inference(evaluation,[],[f9098])). 119.69/119.01 tff(f9098,plain,( 119.69/119.01 ~$less(sK7(sK2,$sum(0,-1)),0) | (~spl8_279 | ~spl8_898)), 119.69/119.01 inference(superposition,[],[f1811,f8228])). 119.69/119.01 tff(f8784,plain,( 119.69/119.01 spl8_94 | spl8_936 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_119), 119.69/119.01 inference(avatar_split_clause,[],[f8780,f948,f767,f759,f1027,f8782,f5438])). 119.69/119.01 tff(f8782,plain,( 119.69/119.01 spl8_936 <=> ! [X0 : $int] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_936])])). 119.69/119.01 tff(f8780,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_62 | ~spl8_67 | ~spl8_119)), 119.69/119.01 inference(forward_demodulation,[],[f8779,f5835])). 119.69/119.01 tff(f8779,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_119), 119.69/119.01 inference(forward_demodulation,[],[f8778,f234])). 119.69/119.01 tff(f8778,plain,( 119.69/119.01 ( ! [X0:$int] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_119), 119.69/119.01 inference(trivial_inequality_removal,[],[f8775])). 119.69/119.01 tff(f8775,plain,( 119.69/119.01 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_119), 119.69/119.01 inference(superposition,[],[f8013,f267])). 119.69/119.01 tff(f8729,plain,( 119.69/119.01 spl8_932 | spl8_934 | spl8_55 | ~spl8_214), 119.69/119.01 inference(avatar_split_clause,[],[f8722,f1382,f711,f8727,f8724])). 119.69/119.01 tff(f8724,plain,( 119.69/119.01 spl8_932 <=> ! [X12 : $int] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X12))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_932])])). 119.69/119.01 tff(f8722,plain,( 119.69/119.01 ( ! [X12:$int] : (some(int,t2tb2(sK1)) = some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X12)) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(forward_demodulation,[],[f8711,f285])). 119.69/119.01 tff(f8711,plain,( 119.69/119.01 ( ! [X12:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X12) | some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(trivial_inequality_removal,[],[f8704])). 119.69/119.01 tff(f8704,plain,( 119.69/119.01 ( ! [X12:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X12) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X12) | some(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) ) | (~spl8_55 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f8371,f3019])). 119.69/119.01 tff(f3019,plain,( 119.69/119.01 ( ! [X10:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X10)),cons(int,t2tb2(0),t2tb1(sK2)))) | some(int,cons_proj_11(int,X10)) = nth1(int,0,X10)) ) | ~spl8_214), 119.69/119.01 inference(superposition,[],[f285,f1733])). 119.69/119.01 tff(f8676,plain,( 119.69/119.01 spl8_54 | spl8_930 | ~spl8_12 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f8672,f8416,f751,f8674,f964])). 119.69/119.01 tff(f964,plain,( 119.69/119.01 spl8_54 <=> $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0)), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_54])])). 119.69/119.01 tff(f8674,plain,( 119.69/119.01 spl8_930 <=> ! [X58 : uni,X57 : uni] : (cons(int,X57,X58) = cons(int,cons_proj_11(int,cons(int,X57,X58)),X58) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X58)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X58))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_930])])). 119.69/119.01 tff(f8672,plain,( 119.69/119.01 ( ! [X57:uni,X58:uni] : (cons(int,X57,X58) = cons(int,cons_proj_11(int,cons(int,X57,X58)),X58) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X58))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X58)) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0)) ) | (~spl8_12 | ~spl8_910)), 119.69/119.01 inference(forward_demodulation,[],[f8671,f273])). 119.69/119.01 tff(f8671,plain,( 119.69/119.01 ( ! [X57:uni,X58:uni] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,X58))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X58)) | cons(int,X57,X58) = cons(int,cons_proj_11(int,cons(int,X57,X58)),cons_proj_21(int,cons(int,X57,X58))) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0)) ) | (~spl8_12 | ~spl8_910)), 119.69/119.01 inference(forward_demodulation,[],[f8664,f244])). 119.69/119.01 tff(f8664,plain,( 119.69/119.01 ( ! [X57:uni,X58:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X58)) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,X57,X58))) | cons(int,X57,X58) = cons(int,cons_proj_11(int,cons(int,X57,X58)),cons_proj_21(int,cons(int,X57,X58))) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0)) ) | (~spl8_12 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f2241,f8417])). 119.69/119.01 tff(f8670,plain,( 119.69/119.01 spl8_928 | ~spl8_330 | ~spl8_910), 119.69/119.01 inference(avatar_split_clause,[],[f8644,f8416,f2348,f8668])). 119.69/119.01 tff(f8668,plain,( 119.69/119.01 spl8_928 <=> nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_928])])). 119.69/119.01 tff(f8644,plain,( 119.69/119.01 nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_910)), 119.69/119.01 inference(superposition,[],[f8417,f2349])). 119.69/119.01 tff(f8614,plain,( 119.69/119.01 spl8_158 | spl8_920 | ~spl8_122), 119.69/119.01 inference(avatar_split_clause,[],[f8570,f967,f8594,f1113])). 119.69/119.01 tff(f967,plain,( 119.69/119.01 spl8_122 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_122])])). 119.69/119.01 tff(f8570,plain,( 119.69/119.01 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X11)) | ~zero_at1(tb2t1(cons(int,X10,X11)),$sum(1,length1(int,t2tb1(sK2)))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_122), 119.69/119.01 inference(superposition,[],[f8364,f287])). 119.69/119.01 tff(f8364,plain,( 119.69/119.01 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0)) | ~zero_at1(tb2t1(X0),$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_122), 119.69/119.01 inference(superposition,[],[f968,f234])). 119.69/119.01 tff(f968,plain,( 119.69/119.01 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_122), 119.69/119.01 inference(avatar_component_clause,[],[f967])). 119.69/119.01 tff(f8613,plain,( 119.69/119.01 spl8_920 | spl8_924 | ~spl8_122 | ~spl8_214 | ~spl8_264 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f8612,f5904,f1741,f1382,f967,f8604,f8594])). 119.69/119.01 tff(f8612,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X9)) | ~zero_at1(tb2t1(cons(int,X8,X9)),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_214 | ~spl8_264 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8611,f1742])). 119.69/119.01 tff(f8611,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X9)) | ~zero_at1(tb2t1(cons(int,X8,X9)),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_214 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8569,f5905])). 119.69/119.01 tff(f8569,plain,( 119.69/119.01 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X9)) | ~zero_at1(tb2t1(cons(int,X8,X9)),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_214)), 119.69/119.01 inference(superposition,[],[f8364,f1734])). 119.69/119.01 tff(f8610,plain,( 119.69/119.01 spl8_926 | spl8_920 | ~spl8_100 | ~spl8_122), 119.69/119.01 inference(avatar_split_clause,[],[f8568,f967,f895,f8594,f8608])). 119.69/119.01 tff(f8568,plain,( 119.69/119.01 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X7)) | ~zero_at1(tb2t1(cons(int,X6,X7)),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_122)), 119.69/119.01 inference(superposition,[],[f8364,f1857])). 119.69/119.01 tff(f8606,plain,( 119.69/119.01 spl8_924 | spl8_920 | ~spl8_122 | ~spl8_414), 119.69/119.01 inference(avatar_split_clause,[],[f8567,f3189,f967,f8594,f8604])). 119.69/119.01 tff(f8567,plain,( 119.69/119.01 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))))) ) | (~spl8_122 | ~spl8_414)), 119.69/119.01 inference(superposition,[],[f8364,f3190])). 119.69/119.01 tff(f8602,plain,( 119.69/119.01 spl8_920 | spl8_922 | ~spl8_122 | ~spl8_266 | ~spl8_348 | ~spl8_710), 119.69/119.01 inference(avatar_split_clause,[],[f8598,f5904,f2410,f1746,f967,f8600,f8594])). 119.69/119.01 tff(f8598,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X3)) | ~zero_at1(tb2t1(cons(int,X2,X3)),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_266 | ~spl8_348 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8597,f2411])). 119.69/119.01 tff(f8597,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X3)) | ~zero_at1(tb2t1(cons(int,X2,X3)),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_266 | ~spl8_710)), 119.69/119.01 inference(forward_demodulation,[],[f8566,f5905])). 119.69/119.01 tff(f8566,plain,( 119.69/119.01 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X3)) | ~zero_at1(tb2t1(cons(int,X2,X3)),$sum(1,length1(int,t2tb1(sK2)))) | some(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))) ) | (~spl8_122 | ~spl8_266)), 119.69/119.01 inference(superposition,[],[f8364,f2415])). 119.69/119.01 tff(f8596,plain,( 119.69/119.01 spl8_918 | spl8_920 | spl8_97 | ~spl8_122), 119.69/119.01 inference(avatar_split_clause,[],[f8565,f967,f878,f8594,f8591])). 119.69/119.01 tff(f8565,plain,( 119.69/119.01 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),t2tb1(sK2))))) ) | (~spl8_97 | ~spl8_122)), 119.69/119.01 inference(superposition,[],[f8364,f5770])). 119.69/119.01 tff(f8561,plain,( 119.69/119.01 spl8_916 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_95), 119.69/119.01 inference(avatar_split_clause,[],[f8557,f874,f767,f759,f1027,f8559])). 119.69/119.01 tff(f8559,plain,( 119.69/119.01 spl8_916 <=> ! [X9 : uni,X11 : uni,X8 : ty,X10 : uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X9,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,X9,t2tb1(sK2)))) | nth1(X8,$sum(tb2t2(X9),-1),X10) = nth1(X8,tb2t2(X9),cons(X8,X11,X10)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_916])])). 119.69/119.01 tff(f874,plain,( 119.69/119.01 spl8_95 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.01 introduced(avatar_definition,[new_symbols(naming,[spl8_95])])). 119.69/119.02 tff(f8557,plain,( 119.69/119.02 ( ! [X10:uni,X8:ty,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X9,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,X9,t2tb1(sK2)))) | nth1(X8,$sum(tb2t2(X9),-1),X10) = nth1(X8,tb2t2(X9),cons(X8,X11,X10))) ) | (~spl8_62 | ~spl8_67 | ~spl8_95)), 119.69/119.02 inference(forward_demodulation,[],[f8556,f5835])). 119.69/119.02 tff(f8556,plain,( 119.69/119.02 ( ! [X10:uni,X8:ty,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,X9,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X9,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,X9,t2tb1(sK2)))) | nth1(X8,$sum(tb2t2(X9),-1),X10) = nth1(X8,tb2t2(X9),cons(X8,X11,X10))) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8555,f234])). 119.69/119.02 tff(f8555,plain,( 119.69/119.02 ( ! [X10:uni,X8:ty,X11:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X9,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,X9,t2tb1(sK2)))) | nth1(X8,$sum(tb2t2(X9),-1),X10) = nth1(X8,tb2t2(X9),cons(X8,X11,X10)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,X9,t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8548,f234])). 119.69/119.02 tff(f8548,plain,( 119.69/119.02 ( ! [X10:uni,X8:ty,X11:uni,X9:uni] : (nth1(X8,$sum(tb2t2(X9),-1),X10) = nth1(X8,tb2t2(X9),cons(X8,X11,X10)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,X9,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(tb2t1(cons(int,X9,t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,X9,t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(resolution,[],[f8021,f267])). 119.69/119.02 tff(f8021,plain,( 119.69/119.02 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (~zero_at1(tb2t1(cons(int,X0,t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_95), 119.69/119.02 inference(superposition,[],[f937,f237])). 119.69/119.02 tff(f937,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~zero_at1(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_95), 119.69/119.02 inference(superposition,[],[f875,f287])). 119.69/119.02 tff(f875,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_95), 119.69/119.02 inference(avatar_component_clause,[],[f874])). 119.69/119.02 tff(f8554,plain,( 119.69/119.02 spl8_914 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_95), 119.69/119.02 inference(avatar_split_clause,[],[f8550,f874,f767,f759,f1027,f8552])). 119.69/119.02 tff(f8552,plain,( 119.69/119.02 spl8_914 <=> ! [X5 : uni,X7 : uni,X4 : ty,X6 : uni] : (nth1(X4,$sum(tb2t2(X5),-1),X6) = nth1(X4,tb2t2(X5),cons(X4,X7,X6)) | ~$less(sK7(tb2t1(cons(int,X5,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_914])])). 119.69/119.02 tff(f8550,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X7:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X4,$sum(tb2t2(X5),-1),X6) = nth1(X4,tb2t2(X5),cons(X4,X7,X6)) | ~$less(sK7(tb2t1(cons(int,X5,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | (~spl8_62 | ~spl8_67 | ~spl8_95)), 119.69/119.02 inference(forward_demodulation,[],[f8549,f5835])). 119.69/119.02 tff(f8549,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X7:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,X5,t2tb1(sK2)))) | nth1(X4,$sum(tb2t2(X5),-1),X6) = nth1(X4,tb2t2(X5),cons(X4,X7,X6)) | ~$less(sK7(tb2t1(cons(int,X5,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8547,f234])). 119.69/119.02 tff(f8547,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X7:uni,X5:uni] : (nth1(X4,$sum(tb2t2(X5),-1),X6) = nth1(X4,tb2t2(X5),cons(X4,X7,X6)) | ~$less(sK7(tb2t1(cons(int,X5,t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,X5,t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(resolution,[],[f8021,f266])). 119.69/119.02 tff(f8507,plain,( 119.69/119.02 spl8_912 | ~spl8_330 | ~spl8_710), 119.69/119.02 inference(avatar_split_clause,[],[f8477,f5904,f2348,f8505])). 119.69/119.02 tff(f8505,plain,( 119.69/119.02 spl8_912 <=> nth1(int,sK6(tb2t1(nil(int))),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_912])])). 119.69/119.02 tff(f8477,plain,( 119.69/119.02 nth1(int,sK6(tb2t1(nil(int))),t2tb1(sK2)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_710)), 119.69/119.02 inference(superposition,[],[f5905,f2349])). 119.69/119.02 tff(f8418,plain,( 119.69/119.02 ~spl8_909 | spl8_910 | spl8_145 | ~spl8_162), 119.69/119.02 inference(avatar_split_clause,[],[f8411,f1121,f5433,f8416,f8413])). 119.69/119.02 tff(f8413,plain,( 119.69/119.02 spl8_909 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_909])])). 119.69/119.02 tff(f8411,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),0)) ) | (~spl8_145 | ~spl8_162)), 119.69/119.02 inference(trivial_inequality_removal,[],[f8385])). 119.69/119.02 tff(f8385,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X1) = nth1(X0,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(X0,X2,X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),0)) ) | (~spl8_145 | ~spl8_162)), 119.69/119.02 inference(superposition,[],[f5520,f1122])). 119.69/119.02 tff(f8379,plain,( 119.69/119.02 spl8_22 | spl8_906 | spl8_55), 119.69/119.02 inference(avatar_split_clause,[],[f8375,f711,f8377,f5336])). 119.69/119.02 tff(f5336,plain,( 119.69/119.02 spl8_22 <=> no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_22])])). 119.69/119.02 tff(f8377,plain,( 119.69/119.02 spl8_906 <=> ! [X0 : $int] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_906])])). 119.69/119.02 tff(f8375,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_55), 119.69/119.02 inference(trivial_inequality_removal,[],[f8372])). 119.69/119.02 tff(f8372,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) ) | ~spl8_55), 119.69/119.02 inference(superposition,[],[f806,f249])). 119.69/119.02 tff(f8284,plain,( 119.69/119.02 spl8_904 | ~spl8_466 | ~spl8_872), 119.69/119.02 inference(avatar_split_clause,[],[f8280,f7997,f3904,f8282])). 119.69/119.02 tff(f3904,plain,( 119.69/119.02 spl8_466 <=> cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = some_proj_11(int,some(int,t2tb2(0)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_466])])). 119.69/119.02 tff(f7997,plain,( 119.69/119.02 spl8_872 <=> cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_872])])). 119.69/119.02 tff(f8280,plain,( 119.69/119.02 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(0) | (~spl8_466 | ~spl8_872)), 119.69/119.02 inference(forward_demodulation,[],[f3905,f7998])). 119.69/119.02 tff(f7998,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(0) | ~spl8_872), 119.69/119.02 inference(avatar_component_clause,[],[f7997])). 119.69/119.02 tff(f3905,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = some_proj_11(int,some(int,t2tb2(0))) | ~spl8_466), 119.69/119.02 inference(avatar_component_clause,[],[f3904])). 119.69/119.02 tff(f8274,plain,( 119.69/119.02 spl8_742 | spl8_902 | spl8_91 | ~spl8_180), 119.69/119.02 inference(avatar_split_clause,[],[f8273,f1192,f866,f8270,f6636])). 119.69/119.02 tff(f6636,plain,( 119.69/119.02 spl8_742 <=> ! [X42 : uni,X41 : ty,X43 : uni] : nth1(X41,length1(int,t2tb1(sK2)),X42) = nth1(X41,$sum(1,length1(int,t2tb1(sK2))),cons(X41,X43,X42))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_742])])). 119.69/119.02 tff(f8270,plain,( 119.69/119.02 spl8_902 <=> cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_902])])). 119.69/119.02 tff(f1192,plain,( 119.69/119.02 spl8_180 <=> $less(sK6(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_180])])). 119.69/119.02 tff(f8273,plain,( 119.69/119.02 ( ! [X33:uni,X34:uni,X32:ty] : (cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2)) | nth1(X32,length1(int,t2tb1(sK2)),X33) = nth1(X32,$sum(1,length1(int,t2tb1(sK2))),cons(X32,X34,X33))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(forward_demodulation,[],[f6687,f273])). 119.69/119.02 tff(f6687,plain,( 119.69/119.02 ( ! [X33:uni,X34:uni,X32:ty] : (nth1(X32,length1(int,t2tb1(sK2)),X33) = nth1(X32,$sum(1,length1(int,t2tb1(sK2))),cons(X32,X34,X33)) | cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(evaluation,[],[f6675])). 119.69/119.02 tff(f6675,plain,( 119.69/119.02 ( ! [X33:uni,X34:uni,X32:ty] : (nth1(X32,$sum($sum(1,length1(int,t2tb1(sK2))),-1),X33) = nth1(X32,$sum(1,length1(int,t2tb1(sK2))),cons(X32,X34,X33)) | cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(resolution,[],[f5607,f1550])). 119.69/119.02 tff(f1550,plain,( 119.69/119.02 ( ! [X1:uni] : ($less(sK6(tb2t1(X1)),$sum(1,length1(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_180), 119.69/119.02 inference(superposition,[],[f1193,f260])). 119.69/119.02 tff(f1193,plain,( 119.69/119.02 $less(sK6(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_180), 119.69/119.02 inference(avatar_component_clause,[],[f1192])). 119.69/119.02 tff(f8272,plain,( 119.69/119.02 spl8_742 | spl8_902 | spl8_91 | ~spl8_180), 119.69/119.02 inference(avatar_split_clause,[],[f8268,f1192,f866,f8270,f6636])). 119.69/119.02 tff(f8268,plain,( 119.69/119.02 ( ! [X37:uni,X35:ty,X36:uni] : (cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),t2tb1(sK2)) | nth1(X35,length1(int,t2tb1(sK2)),X36) = nth1(X35,$sum(1,length1(int,t2tb1(sK2))),cons(X35,X37,X36))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(forward_demodulation,[],[f8267,f273])). 119.69/119.02 tff(f8267,plain,( 119.69/119.02 ( ! [X37:uni,X35:ty,X36:uni] : (cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)))) | nth1(X35,length1(int,t2tb1(sK2)),X36) = nth1(X35,$sum(1,length1(int,t2tb1(sK2))),cons(X35,X37,X36))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(forward_demodulation,[],[f6686,f234])). 119.69/119.02 tff(f6686,plain,( 119.69/119.02 ( ! [X37:uni,X35:ty,X36:uni] : (nth1(X35,length1(int,t2tb1(sK2)),X36) = nth1(X35,$sum(1,length1(int,t2tb1(sK2))),cons(X35,X37,X36)) | cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(evaluation,[],[f6676])). 119.69/119.02 tff(f6676,plain,( 119.69/119.02 ( ! [X37:uni,X35:ty,X36:uni] : (nth1(X35,$sum($sum(1,length1(int,t2tb1(sK2))),-1),X36) = nth1(X35,$sum(1,length1(int,t2tb1(sK2))),cons(X35,X37,X36)) | cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2($sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))))) ) | (~spl8_91 | ~spl8_180)), 119.69/119.02 inference(resolution,[],[f5607,f2513])). 119.69/119.02 tff(f2513,plain,( 119.69/119.02 ( ! [X0:list_int] : ($less(sK6(X0),$sum(1,length1(int,t2tb1(sK2)))) | cons(int,cons_proj_11(int,t2tb1(X0)),cons_proj_21(int,t2tb1(X0))) = t2tb1(X0)) ) | ~spl8_180), 119.69/119.02 inference(superposition,[],[f1550,f236])). 119.69/119.02 tff(f8266,plain,( 119.69/119.02 ~spl8_901 | spl8_590 | ~spl8_34 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5505,f1116,f403,f5266,f8263])). 119.69/119.02 tff(f8263,plain,( 119.69/119.02 spl8_901 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_901])])). 119.69/119.02 tff(f5505,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f5504])). 119.69/119.02 tff(f5504,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_160)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5493])). 119.69/119.02 tff(f5493,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f901,f1117])). 119.69/119.02 tff(f8265,plain,( 119.69/119.02 ~spl8_901 | spl8_590 | ~spl8_34 | ~spl8_614), 119.69/119.02 inference(avatar_split_clause,[],[f6530,f5321,f403,f5266,f8263])). 119.69/119.02 tff(f6530,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_614)), 119.69/119.02 inference(evaluation,[],[f6529])). 119.69/119.02 tff(f6529,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_614)), 119.69/119.02 inference(trivial_inequality_removal,[],[f6497])). 119.69/119.02 tff(f6497,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_614)), 119.69/119.02 inference(superposition,[],[f901,f5322])). 119.69/119.02 tff(f8261,plain,( 119.69/119.02 spl8_616 | spl8_590 | ~spl8_614), 119.69/119.02 inference(avatar_split_clause,[],[f6525,f5321,f5266,f5326])). 119.69/119.02 tff(f5326,plain,( 119.69/119.02 spl8_616 <=> ! [X0 : $int] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_616])])). 119.69/119.02 tff(f6525,plain,( 119.69/119.02 ( ! [X0:$int] : ($less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_614), 119.69/119.02 inference(evaluation,[],[f6524])). 119.69/119.02 tff(f6524,plain,( 119.69/119.02 ( ! [X0:$int] : ($less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_614), 119.69/119.02 inference(trivial_inequality_removal,[],[f6501])). 119.69/119.02 tff(f6501,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_614), 119.69/119.02 inference(superposition,[],[f269,f5322])). 119.69/119.02 tff(f8254,plain,( 119.69/119.02 ~spl8_55 | spl8_23), 119.69/119.02 inference(avatar_split_clause,[],[f702,f354,f711])). 119.69/119.02 tff(f354,plain,( 119.69/119.02 spl8_23 <=> ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_23])])). 119.69/119.02 tff(f702,plain,( 119.69/119.02 ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0) | ~spl8_23), 119.69/119.02 inference(resolution,[],[f355,f248])). 119.69/119.02 tff(f355,plain,( 119.69/119.02 ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_23), 119.69/119.02 inference(avatar_component_clause,[],[f354])). 119.69/119.02 tff(f8253,plain,( 119.69/119.02 ~spl8_55 | spl8_23), 119.69/119.02 inference(avatar_split_clause,[],[f5993,f354,f711])). 119.69/119.02 tff(f5993,plain,( 119.69/119.02 ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0) | ~spl8_23), 119.69/119.02 inference(resolution,[],[f355,f248])). 119.69/119.02 tff(f8245,plain,( 119.69/119.02 spl8_144 | spl8_644 | ~spl8_147 | ~spl8_140), 119.69/119.02 inference(avatar_split_clause,[],[f5783,f5413,f1064,f5441,f1061])). 119.69/119.02 tff(f1061,plain,( 119.69/119.02 spl8_144 <=> zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_144])])). 119.69/119.02 tff(f1064,plain,( 119.69/119.02 spl8_147 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_147])])). 119.69/119.02 tff(f5783,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | some(X12,X14) = nth1(X12,-1,X13) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)) ) | ~spl8_140), 119.69/119.02 inference(forward_demodulation,[],[f5782,f285])). 119.69/119.02 tff(f5782,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | some(X12,X14) = nth1(X12,-1,X13) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)) ) | ~spl8_140), 119.69/119.02 inference(forward_demodulation,[],[f5781,f234])). 119.69/119.02 tff(f5781,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (some(X12,X14) = nth1(X12,-1,X13) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_140), 119.69/119.02 inference(forward_demodulation,[],[f5777,f285])). 119.69/119.02 tff(f5777,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (nth1(X12,-1,X13) = nth1(X12,0,cons(X12,X14,X13)) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_140), 119.69/119.02 inference(evaluation,[],[f5773])). 119.69/119.02 tff(f5773,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (nth1(X12,$sum(0,-1),X13) = nth1(X12,0,cons(X12,X14,X13)) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_140), 119.69/119.02 inference(resolution,[],[f5477,f266])). 119.69/119.02 tff(f8244,plain,( 119.69/119.02 spl8_144 | ~spl8_147 | ~spl8_140), 119.69/119.02 inference(avatar_split_clause,[],[f5479,f5413,f1064,f1061])). 119.69/119.02 tff(f5479,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_140), 119.69/119.02 inference(forward_demodulation,[],[f5478,f285])). 119.69/119.02 tff(f5478,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_140), 119.69/119.02 inference(forward_demodulation,[],[f5475,f234])). 119.69/119.02 tff(f5475,plain,( 119.69/119.02 zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_140), 119.69/119.02 inference(resolution,[],[f5414,f266])). 119.69/119.02 tff(f8238,plain,( 119.69/119.02 spl8_36 | ~spl8_860), 119.69/119.02 inference(avatar_split_clause,[],[f8237,f7962,f482])). 119.69/119.02 tff(f482,plain,( 119.69/119.02 spl8_36 <=> 0 = sK1), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_36])])). 119.69/119.02 tff(f7962,plain,( 119.69/119.02 spl8_860 <=> t2tb2(0) = t2tb2(sK1)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_860])])). 119.69/119.02 tff(f8237,plain,( 119.69/119.02 0 = sK1 | ~spl8_860), 119.69/119.02 inference(forward_demodulation,[],[f8207,f235])). 119.69/119.02 tff(f8207,plain,( 119.69/119.02 tb2t2(t2tb2(0)) = sK1 | ~spl8_860), 119.69/119.02 inference(superposition,[],[f235,f7963])). 119.69/119.02 tff(f7963,plain,( 119.69/119.02 t2tb2(0) = t2tb2(sK1) | ~spl8_860), 119.69/119.02 inference(avatar_component_clause,[],[f7962])). 119.69/119.02 tff(f8229,plain,( 119.69/119.02 spl8_898 | ~spl8_158 | ~spl8_860), 119.69/119.02 inference(avatar_split_clause,[],[f8180,f7962,f1113,f8227])). 119.69/119.02 tff(f8180,plain,( 119.69/119.02 0 = sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_158 | ~spl8_860)), 119.69/119.02 inference(superposition,[],[f1114,f7963])). 119.69/119.02 tff(f1114,plain,( 119.69/119.02 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_158), 119.69/119.02 inference(avatar_component_clause,[],[f1113])). 119.69/119.02 tff(f8159,plain,( 119.69/119.02 spl8_888 | spl8_896 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8124,f8091,f8138,f8079])). 119.69/119.02 tff(f8124,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_890), 119.69/119.02 inference(superposition,[],[f287,f8092])). 119.69/119.02 tff(f8158,plain,( 119.69/119.02 spl8_896 | spl8_884 | ~spl8_44 | spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_264 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8157,f8091,f1741,f1382,f1113,f711,f678,f8068,f8138])). 119.69/119.02 tff(f8157,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_264 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8156,f1742])). 119.69/119.02 tff(f8156,plain,( 119.69/119.02 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8123,f6970])). 119.69/119.02 tff(f6970,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1))) ) | (~spl8_44 | ~spl8_55 | ~spl8_158)), 119.69/119.02 inference(condensation,[],[f6969])). 119.69/119.02 tff(f6969,plain,( 119.69/119.02 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1)) | nth1(X3,$sum(sK6(tb2t1(nil(int))),-1),X4) = nth1(X3,sK6(tb2t1(nil(int))),cons(X3,X5,X4))) ) | (~spl8_44 | ~spl8_55 | ~spl8_158)), 119.69/119.02 inference(condensation,[],[f6877])). 119.69/119.02 tff(f6877,plain,( 119.69/119.02 ( ! [X80:uni,X78:$int,X85:uni,X83:uni,X81:ty,X79:uni,X77:ty,X86:uni,X84:ty,X82:uni] : (nth1(X77,$sum(X78,-1),X79) = nth1(X77,X78,cons(X77,X80,X79)) | nth1(X81,$sum(sK6(tb2t1(nil(int))),-1),X82) = nth1(X81,sK6(tb2t1(nil(int))),cons(X81,X83,X82)) | nth1(X84,$sum(X78,-1),X85) = nth1(X84,X78,cons(X84,X86,X85))) ) | (~spl8_44 | ~spl8_55 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f749])). 119.69/119.02 tff(f749,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK6(tb2t1(nil(int))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_44), 119.69/119.02 inference(superposition,[],[f679,f287])). 119.69/119.02 tff(f6151,plain,( 119.69/119.02 ( ! [X6:uni,X4:uni,X2:ty,X0:$int,X7:uni,X5:ty,X3:uni,X1:$int] : (~$less(X0,X1) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | nth1(X5,$sum(X0,-1),X6) = nth1(X5,X0,cons(X5,X7,X6))) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f5978,f287])). 119.69/119.02 tff(f5978,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(0,X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f809,f1114])). 119.69/119.02 tff(f809,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_55), 119.69/119.02 inference(superposition,[],[f712,f287])). 119.69/119.02 tff(f8155,plain,( 119.69/119.02 spl8_886 | spl8_896 | ~spl8_100 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8122,f8091,f895,f8138,f8072])). 119.69/119.02 tff(f8072,plain,( 119.69/119.02 spl8_886 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_886])])). 119.69/119.02 tff(f8122,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f1857,f8092])). 119.69/119.02 tff(f8154,plain,( 119.69/119.02 spl8_884 | spl8_896 | ~spl8_414 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8121,f8091,f3189,f8138,f8068])). 119.69/119.02 tff(f8121,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_414 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f3190,f8092])). 119.69/119.02 tff(f8153,plain,( 119.69/119.02 spl8_896 | spl8_882 | ~spl8_44 | spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_348 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8152,f8091,f2410,f1746,f1113,f711,f678,f8064,f8138])). 119.69/119.02 tff(f8152,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_348 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8151,f2411])). 119.69/119.02 tff(f8151,plain,( 119.69/119.02 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8120,f6970])). 119.69/119.02 tff(f8150,plain,( 119.69/119.02 spl8_878 | spl8_896 | spl8_97 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8119,f8091,f878,f8138,f8055])). 119.69/119.02 tff(f8055,plain,( 119.69/119.02 spl8_878 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_878])])). 119.69/119.02 tff(f8119,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_97 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f5770,f8092])). 119.69/119.02 tff(f8149,plain,( 119.69/119.02 spl8_888 | spl8_896 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8118,f8091,f8138,f8079])). 119.69/119.02 tff(f8118,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_890), 119.69/119.02 inference(superposition,[],[f8092,f287])). 119.69/119.02 tff(f8148,plain,( 119.69/119.02 spl8_896 | spl8_884 | ~spl8_44 | spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_264 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8147,f8091,f1741,f1382,f1113,f711,f678,f8068,f8138])). 119.69/119.02 tff(f8147,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_264 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8146,f1742])). 119.69/119.02 tff(f8146,plain,( 119.69/119.02 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_214 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8117,f6970])). 119.69/119.02 tff(f8145,plain,( 119.69/119.02 spl8_886 | spl8_896 | ~spl8_100 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8116,f8091,f895,f8138,f8072])). 119.69/119.02 tff(f8116,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f8092,f1857])). 119.69/119.02 tff(f8144,plain,( 119.69/119.02 spl8_884 | spl8_896 | ~spl8_414 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8115,f8091,f3189,f8138,f8068])). 119.69/119.02 tff(f8115,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_414 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f8092,f3190])). 119.69/119.02 tff(f8143,plain,( 119.69/119.02 spl8_896 | spl8_882 | ~spl8_44 | spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_348 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8142,f8091,f2410,f1746,f1113,f711,f678,f8064,f8138])). 119.69/119.02 tff(f8142,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_348 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8141,f2411])). 119.69/119.02 tff(f8141,plain,( 119.69/119.02 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | (~spl8_44 | ~spl8_55 | ~spl8_158 | ~spl8_266 | ~spl8_890)), 119.69/119.02 inference(forward_demodulation,[],[f8114,f6970])). 119.69/119.02 tff(f8140,plain,( 119.69/119.02 spl8_878 | spl8_896 | spl8_97 | ~spl8_890), 119.69/119.02 inference(avatar_split_clause,[],[f8113,f8091,f878,f8138,f8055])). 119.69/119.02 tff(f8113,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_97 | ~spl8_890)), 119.69/119.02 inference(superposition,[],[f8092,f5770])). 119.69/119.02 tff(f8104,plain,( 119.69/119.02 spl8_892 | spl8_894 | spl8_55 | ~spl8_158 | ~spl8_270), 119.69/119.02 inference(avatar_split_clause,[],[f8097,f1792,f1113,f711,f8102,f8099])). 119.69/119.02 tff(f8099,plain,( 119.69/119.02 spl8_892 <=> ! [X3 : ty,X5 : uni,X4 : uni] : nth1(X3,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X4) = nth1(X3,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(X3,X5,X4))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_892])])). 119.69/119.02 tff(f8097,plain,( 119.69/119.02 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,0,X1) = nth1(X0,1,cons(X0,X2,X1)) | nth1(X3,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X4) = nth1(X3,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(X3,X5,X4))) ) | (~spl8_55 | ~spl8_158 | ~spl8_270)), 119.69/119.02 inference(evaluation,[],[f8094])). 119.69/119.02 tff(f8094,plain,( 119.69/119.02 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (nth1(X0,$sum(1,-1),X1) = nth1(X0,1,cons(X0,X2,X1)) | nth1(X3,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X4) = nth1(X3,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(X3,X5,X4))) ) | (~spl8_55 | ~spl8_158 | ~spl8_270)), 119.69/119.02 inference(resolution,[],[f1793,f6151])). 119.69/119.02 tff(f8093,plain,( 119.69/119.02 spl8_890 | ~spl8_120), 119.69/119.02 inference(avatar_split_clause,[],[f8089,f954,f8091])). 119.69/119.02 tff(f8089,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_120), 119.69/119.02 inference(forward_demodulation,[],[f8049,f238])). 119.69/119.02 tff(f8049,plain,( 119.69/119.02 nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_120), 119.69/119.02 inference(superposition,[],[f238,f955])). 119.69/119.02 tff(f8081,plain,( 119.69/119.02 spl8_888 | spl8_880 | ~spl8_120), 119.69/119.02 inference(avatar_split_clause,[],[f8041,f954,f8058,f8079])). 119.69/119.02 tff(f8041,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_120), 119.69/119.02 inference(superposition,[],[f955,f287])). 119.69/119.02 tff(f8077,plain,( 119.69/119.02 spl8_880 | spl8_884 | ~spl8_44 | spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_214 | ~spl8_264), 119.69/119.02 inference(avatar_split_clause,[],[f8076,f1741,f1382,f1113,f954,f711,f678,f8068,f8058])). 119.69/119.02 tff(f8076,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_44 | ~spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_214 | ~spl8_264)), 119.69/119.02 inference(forward_demodulation,[],[f8075,f1742])). 119.69/119.02 tff(f8075,plain,( 119.69/119.02 tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_44 | ~spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_214)), 119.69/119.02 inference(forward_demodulation,[],[f8040,f6970])). 119.69/119.02 tff(f8074,plain,( 119.69/119.02 spl8_886 | spl8_880 | ~spl8_100 | ~spl8_120), 119.69/119.02 inference(avatar_split_clause,[],[f8039,f954,f895,f8058,f8072])). 119.69/119.02 tff(f8039,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_120)), 119.69/119.02 inference(superposition,[],[f955,f1857])). 119.69/119.02 tff(f8070,plain,( 119.69/119.02 spl8_884 | spl8_880 | ~spl8_120 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f8038,f3189,f954,f8058,f8068])). 119.69/119.02 tff(f8038,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_120 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f955,f3190])). 119.69/119.02 tff(f8066,plain,( 119.69/119.02 spl8_880 | spl8_882 | ~spl8_44 | spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f8062,f2410,f1746,f1113,f954,f711,f678,f8064,f8058])). 119.69/119.02 tff(f8062,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_44 | ~spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f8061,f2411])). 119.69/119.02 tff(f8061,plain,( 119.69/119.02 some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | (~spl8_44 | ~spl8_55 | ~spl8_120 | ~spl8_158 | ~spl8_266)), 119.69/119.02 inference(forward_demodulation,[],[f8037,f6970])). 119.69/119.02 tff(f8060,plain,( 119.69/119.02 spl8_878 | spl8_880 | spl8_97 | ~spl8_120), 119.69/119.02 inference(avatar_split_clause,[],[f8036,f954,f878,f8058,f8055])). 119.69/119.02 tff(f8036,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_97 | ~spl8_120)), 119.69/119.02 inference(superposition,[],[f955,f5770])). 119.69/119.02 tff(f8034,plain,( 119.69/119.02 spl8_876 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_95), 119.69/119.02 inference(avatar_split_clause,[],[f8030,f874,f767,f759,f1027,f8032])). 119.69/119.02 tff(f8030,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X15),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16))) ) | (~spl8_62 | ~spl8_67 | ~spl8_95)), 119.69/119.02 inference(forward_demodulation,[],[f8029,f5835])). 119.69/119.02 tff(f8029,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(X15),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X15),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16))) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8028,f234])). 119.69/119.02 tff(f8028,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(X15),t2tb1(sK2)))) | nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8020,f234])). 119.69/119.02 tff(f8020,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X15:$int,X16:uni] : (nth1(X14,$sum(X15,-1),X16) = nth1(X14,X15,cons(X14,X17,X16)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X15),t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(resolution,[],[f937,f267])). 119.69/119.02 tff(f8027,plain,( 119.69/119.02 spl8_874 | ~spl8_137 | ~spl8_62 | spl8_67 | spl8_95), 119.69/119.02 inference(avatar_split_clause,[],[f8023,f874,f767,f759,f1027,f8025])). 119.69/119.02 tff(f8023,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | (~spl8_62 | ~spl8_67 | ~spl8_95)), 119.69/119.02 inference(forward_demodulation,[],[f8022,f5835])). 119.69/119.02 tff(f8022,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(X11),t2tb1(sK2)))) | nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)) ) | ~spl8_95), 119.69/119.02 inference(forward_demodulation,[],[f8019,f234])). 119.69/119.02 tff(f8019,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(X11),t2tb1(sK2))))))) ) | ~spl8_95), 119.69/119.02 inference(resolution,[],[f937,f266])). 119.69/119.02 tff(f8002,plain,( 119.69/119.02 ~spl8_465 | spl8_872 | ~spl8_350 | ~spl8_850 | ~spl8_860), 119.69/119.02 inference(avatar_split_clause,[],[f8001,f7962,f7819,f2504,f7997,f3901])). 119.69/119.02 tff(f3901,plain,( 119.69/119.02 spl8_465 <=> ~sort1(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_465])])). 119.69/119.02 tff(f2504,plain,( 119.69/119.02 spl8_350 <=> some(int,t2tb2(0)) = some(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_350])])). 119.69/119.02 tff(f7819,plain,( 119.69/119.02 spl8_850 <=> some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK1)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_850])])). 119.69/119.02 tff(f8001,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(0) | ~sort1(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_350 | ~spl8_850 | ~spl8_860)), 119.69/119.02 inference(forward_demodulation,[],[f8000,f7963])). 119.69/119.02 tff(f8000,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(sK1) | ~sort1(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_350 | ~spl8_850)), 119.69/119.02 inference(forward_demodulation,[],[f3894,f7820])). 119.69/119.02 tff(f7820,plain,( 119.69/119.02 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK1) | ~spl8_850), 119.69/119.02 inference(avatar_component_clause,[],[f7819])). 119.69/119.02 tff(f3894,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = some_proj_11(int,some(int,t2tb2(0))) | ~sort1(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_350), 119.69/119.02 inference(superposition,[],[f261,f2505])). 119.69/119.02 tff(f2505,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_350), 119.69/119.02 inference(avatar_component_clause,[],[f2504])). 119.69/119.02 tff(f7999,plain,( 119.69/119.02 spl8_872 | ~spl8_466 | ~spl8_850 | ~spl8_860), 119.69/119.02 inference(avatar_split_clause,[],[f7995,f7962,f7819,f3904,f7997])). 119.69/119.02 tff(f7995,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(0) | (~spl8_466 | ~spl8_850 | ~spl8_860)), 119.69/119.02 inference(forward_demodulation,[],[f7994,f7963])). 119.69/119.02 tff(f7994,plain,( 119.69/119.02 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(sK1) | (~spl8_466 | ~spl8_850)), 119.69/119.02 inference(forward_demodulation,[],[f3905,f7820])). 119.69/119.02 tff(f7993,plain,( 119.69/119.02 ~spl8_871 | ~spl8_158 | spl8_599), 119.69/119.02 inference(avatar_split_clause,[],[f7989,f5282,f1113,f7991])). 119.69/119.02 tff(f7991,plain,( 119.69/119.02 spl8_871 <=> ~$less(0,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_871])])). 119.69/119.02 tff(f5282,plain,( 119.69/119.02 spl8_599 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_599])])). 119.69/119.02 tff(f7989,plain,( 119.69/119.02 ~$less(0,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))) | (~spl8_158 | ~spl8_599)), 119.69/119.02 inference(evaluation,[],[f7988])). 119.69/119.02 tff(f7988,plain,( 119.69/119.02 ~$less($sum(0,-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_158 | ~spl8_599)), 119.69/119.02 inference(forward_demodulation,[],[f5283,f1114])). 119.69/119.02 tff(f5283,plain,( 119.69/119.02 ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~spl8_599), 119.69/119.02 inference(avatar_component_clause,[],[f5282])). 119.69/119.02 tff(f7987,plain,( 119.69/119.02 spl8_118 | spl8_868 | ~spl8_114), 119.69/119.02 inference(avatar_split_clause,[],[f1627,f940,f7985,f1586])). 119.69/119.02 tff(f1586,plain,( 119.69/119.02 spl8_118 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_118])])). 119.69/119.02 tff(f7985,plain,( 119.69/119.02 spl8_868 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | ~zero_at1(X0,$sum(sK3,$uminus(sK0))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_868])])). 119.69/119.02 tff(f1627,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~zero_at1(X0,$sum(sK3,$uminus(sK0)))) ) | ~spl8_114), 119.69/119.02 inference(resolution,[],[f941,f269])). 119.69/119.02 tff(f7983,plain,( 119.69/119.02 spl8_862 | spl8_866 | spl8_41 | ~spl8_146 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f6272,f1101,f5963,f522,f7978,f7971])). 119.69/119.02 tff(f7971,plain,( 119.69/119.02 spl8_862 <=> ! [X16 : ty,X18 : uni,X17 : uni] : nth1(X16,$sum(sK1,-1),X17) = nth1(X16,sK1,cons(X16,X18,X17))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_862])])). 119.69/119.02 tff(f7978,plain,( 119.69/119.02 spl8_866 <=> ! [X11 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X11)) | cons(int,cons_proj_11(int,X11),cons_proj_21(int,X11)) = X11 | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X11),0),X11)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_866])])). 119.69/119.02 tff(f6272,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X11)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X11),0),X11)) | cons(int,cons_proj_11(int,X11),cons_proj_21(int,X11)) = X11 | nth1(X12,$sum(sK1,-1),X13) = nth1(X12,sK1,cons(X12,X14,X13))) ) | (~spl8_41 | ~spl8_146 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f2063,f5964])). 119.69/119.02 tff(f5964,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK1))) | ~spl8_146), 119.69/119.02 inference(avatar_component_clause,[],[f5963])). 119.69/119.02 tff(f7982,plain,( 119.69/119.02 spl8_862 | spl8_864 | spl8_41 | ~spl8_146 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f6273,f1101,f5963,f522,f7974,f7971])). 119.69/119.02 tff(f7974,plain,( 119.69/119.02 spl8_864 <=> ! [X15 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X15)) | cons(int,cons_proj_11(int,X15),cons_proj_21(int,X15)) = X15 | ~$less(sK7(tb2t1(X15),0),0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_864])])). 119.69/119.02 tff(f6273,plain,( 119.69/119.02 ( ! [X17:uni,X15:uni,X18:uni,X16:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X15)) | ~$less(sK7(tb2t1(X15),0),0) | cons(int,cons_proj_11(int,X15),cons_proj_21(int,X15)) = X15 | nth1(X16,$sum(sK1,-1),X17) = nth1(X16,sK1,cons(X16,X18,X17))) ) | (~spl8_41 | ~spl8_146 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f2894,f5964])). 119.69/119.02 tff(f7980,plain,( 119.69/119.02 spl8_862 | spl8_866 | spl8_41 | ~spl8_154 | ~spl8_726), 119.69/119.02 inference(avatar_split_clause,[],[f7800,f6286,f1101,f522,f7978,f7971])). 119.69/119.02 tff(f6286,plain,( 119.69/119.02 spl8_726 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_726])])). 119.69/119.02 tff(f7800,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X11)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X11),0),X11)) | cons(int,cons_proj_11(int,X11),cons_proj_21(int,X11)) = X11 | nth1(X12,$sum(sK1,-1),X13) = nth1(X12,sK1,cons(X12,X14,X13))) ) | (~spl8_41 | ~spl8_154 | ~spl8_726)), 119.69/119.02 inference(superposition,[],[f2063,f6287])). 119.69/119.02 tff(f6287,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,t2tb2(sK1)) | ~spl8_726), 119.69/119.02 inference(avatar_component_clause,[],[f6286])). 119.69/119.02 tff(f7976,plain,( 119.69/119.02 spl8_862 | spl8_864 | spl8_41 | ~spl8_154 | ~spl8_726), 119.69/119.02 inference(avatar_split_clause,[],[f7801,f6286,f1101,f522,f7974,f7971])). 119.69/119.02 tff(f7801,plain,( 119.69/119.02 ( ! [X17:uni,X15:uni,X18:uni,X16:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK1,X15)) | ~$less(sK7(tb2t1(X15),0),0) | cons(int,cons_proj_11(int,X15),cons_proj_21(int,X15)) = X15 | nth1(X16,$sum(sK1,-1),X17) = nth1(X16,sK1,cons(X16,X18,X17))) ) | (~spl8_41 | ~spl8_154 | ~spl8_726)), 119.69/119.02 inference(superposition,[],[f2894,f6287])). 119.69/119.02 tff(f7965,plain,( 119.69/119.02 ~spl8_233 | spl8_860 | ~spl8_850), 119.69/119.02 inference(avatar_split_clause,[],[f7958,f7819,f7962,f1541])). 119.69/119.02 tff(f1541,plain,( 119.69/119.02 spl8_233 <=> ~sort1(int,t2tb2(0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_233])])). 119.69/119.02 tff(f7958,plain,( 119.69/119.02 t2tb2(0) = t2tb2(sK1) | ~sort1(int,t2tb2(0)) | ~spl8_850), 119.69/119.02 inference(superposition,[],[f261,f7820])). 119.69/119.02 tff(f7964,plain,( 119.69/119.02 ~spl8_233 | spl8_860 | ~spl8_850), 119.69/119.02 inference(avatar_split_clause,[],[f7957,f7819,f7962,f1541])). 119.69/119.02 tff(f7957,plain,( 119.69/119.02 t2tb2(0) = t2tb2(sK1) | ~sort1(int,t2tb2(0)) | ~spl8_850), 119.69/119.02 inference(superposition,[],[f7820,f261])). 119.69/119.02 tff(f7955,plain,( 119.69/119.02 spl8_450 | ~spl8_62 | spl8_67 | ~spl8_330), 119.69/119.02 inference(avatar_split_clause,[],[f7945,f2348,f767,f759,f3754])). 119.69/119.02 tff(f3754,plain,( 119.69/119.02 spl8_450 <=> nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_450])])). 119.69/119.02 tff(f7945,plain,( 119.69/119.02 nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_62 | ~spl8_67 | ~spl8_330)), 119.69/119.02 inference(superposition,[],[f5835,f2349])). 119.69/119.02 tff(f7954,plain,( 119.69/119.02 spl8_858 | ~spl8_132 | ~spl8_330 | ~spl8_682), 119.69/119.02 inference(avatar_split_clause,[],[f7950,f5658,f2348,f1018,f7952])). 119.69/119.02 tff(f7952,plain,( 119.69/119.02 spl8_858 <=> some(int,t2tb2(0)) = nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons_proj_21(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_858])])). 119.69/119.02 tff(f7950,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_132 | ~spl8_330 | ~spl8_682)), 119.69/119.02 inference(forward_demodulation,[],[f7943,f1019])). 119.69/119.02 tff(f7943,plain,( 119.69/119.02 nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_682)), 119.69/119.02 inference(superposition,[],[f5659,f2349])). 119.69/119.02 tff(f7949,plain,( 119.69/119.02 spl8_856 | ~spl8_330 | ~spl8_396), 119.69/119.02 inference(avatar_split_clause,[],[f7941,f2891,f2348,f7947])). 119.69/119.02 tff(f2891,plain,( 119.69/119.02 spl8_396 <=> ! [X13 : ty,X15 : uni,X14 : uni] : nth1(X13,$sum(length1(int,t2tb1(sK2)),-1),X14) = nth1(X13,length1(int,t2tb1(sK2)),cons(X13,X15,X14))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_396])])). 119.69/119.02 tff(f7941,plain,( 119.69/119.02 nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2)) = nth1(int,$sum(length1(int,t2tb1(sK2)),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_330 | ~spl8_396)), 119.69/119.02 inference(superposition,[],[f2892,f2349])). 119.69/119.02 tff(f2892,plain,( 119.69/119.02 ( ! [X14:uni,X15:uni,X13:ty] : (nth1(X13,$sum(length1(int,t2tb1(sK2)),-1),X14) = nth1(X13,length1(int,t2tb1(sK2)),cons(X13,X15,X14))) ) | ~spl8_396), 119.69/119.02 inference(avatar_component_clause,[],[f2891])). 119.69/119.02 tff(f7905,plain,( 119.69/119.02 spl8_770 | spl8_836 | ~spl8_855 | spl8_55 | ~spl8_158 | ~spl8_328), 119.69/119.02 inference(avatar_split_clause,[],[f7879,f2293,f1113,f711,f7903,f7723,f7008])). 119.69/119.02 tff(f7723,plain,( 119.69/119.02 spl8_836 <=> ! [X30 : $int] : (~$less(0,X30) | ~zero_at1(sK2,X30))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_836])])). 119.69/119.02 tff(f7903,plain,( 119.69/119.02 spl8_855 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK6(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_855])])). 119.69/119.02 tff(f7879,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X3:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK6(sK2)))) | ~$less(0,X1) | ~zero_at1(sK2,X1) | nth1(X2,$sum(sK6(sK2),-1),X3) = nth1(X2,sK6(sK2),cons(X2,X4,X3))) ) | (~spl8_55 | ~spl8_158 | ~spl8_328)), 119.69/119.02 inference(superposition,[],[f6156,f2294])). 119.69/119.02 tff(f6156,plain,( 119.69/119.02 ( ! [X4:uni,X2:$int,X0:$int,X5:uni,X3:ty,X1:list_int] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X0,t2tb1(X1))) | ~$less(0,X2) | ~zero_at1(X1,X2) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f5983,f287])). 119.69/119.02 tff(f5983,plain,( 119.69/119.02 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X2))) | ~$less(0,X3) | ~zero_at1(X2,X3)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f5982,f1114])). 119.69/119.02 tff(f5982,plain,( 119.69/119.02 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X2))) | ~$less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),X3) | ~zero_at1(X2,X3)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f806,f1114])). 119.69/119.02 tff(f7870,plain,( 119.69/119.02 spl8_294 | spl8_852 | ~spl8_44 | spl8_97), 119.69/119.02 inference(avatar_split_clause,[],[f6737,f878,f678,f7867,f1996])). 119.69/119.02 tff(f7867,plain,( 119.69/119.02 spl8_852 <=> ! [X16 : $int,X18 : uni,X15 : ty,X17 : uni] : (cons(int,t2tb2(X16),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X16),t2tb1(sK2))),t2tb1(sK2)) | nth1(X15,$sum(X16,-1),X17) = nth1(X15,X16,cons(X15,X18,X17)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_852])])). 119.69/119.02 tff(f6737,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X8:ty,X13:uni,X11:uni,X9:$int] : (cons(int,t2tb2(X9),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X9),t2tb1(sK2))),t2tb1(sK2)) | nth1(X8,$sum(X9,-1),X10) = nth1(X8,X9,cons(X8,X11,X10)) | nth1(X12,-1,X13) = nth1(X12,0,cons(X12,X14,X13))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(forward_demodulation,[],[f6733,f273])). 119.69/119.02 tff(f6733,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X8:ty,X13:uni,X11:uni,X9:$int] : (nth1(X8,$sum(X9,-1),X10) = nth1(X8,X9,cons(X8,X11,X10)) | cons(int,t2tb2(X9),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X9),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(X9),t2tb1(sK2)))) | nth1(X12,-1,X13) = nth1(X12,0,cons(X12,X14,X13))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(evaluation,[],[f6723])). 119.69/119.02 tff(f6723,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X8:ty,X13:uni,X11:uni,X9:$int] : (nth1(X8,$sum(X9,-1),X10) = nth1(X8,X9,cons(X8,X11,X10)) | cons(int,t2tb2(X9),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X9),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(X9),t2tb1(sK2)))) | nth1(X12,$sum(0,-1),X13) = nth1(X12,0,cons(X12,X14,X13))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(resolution,[],[f5762,f1594])). 119.69/119.02 tff(f1594,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : ($less(sK6(tb2t1(X1)),X0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1 | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_44), 119.69/119.02 inference(superposition,[],[f748,f287])). 119.69/119.02 tff(f7869,plain,( 119.69/119.02 spl8_294 | spl8_852 | ~spl8_44 | spl8_97), 119.69/119.02 inference(avatar_split_clause,[],[f6739,f878,f678,f7867,f1996])). 119.69/119.02 tff(f6739,plain,( 119.69/119.02 ( ! [X21:uni,X19:ty,X17:uni,X15:ty,X20:uni,X18:uni,X16:$int] : (cons(int,t2tb2(X16),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X16),t2tb1(sK2))),t2tb1(sK2)) | nth1(X15,$sum(X16,-1),X17) = nth1(X15,X16,cons(X15,X18,X17)) | nth1(X19,-1,X20) = nth1(X19,0,cons(X19,X21,X20))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(forward_demodulation,[],[f6738,f273])). 119.69/119.02 tff(f6738,plain,( 119.69/119.02 ( ! [X21:uni,X19:ty,X17:uni,X15:ty,X20:uni,X18:uni,X16:$int] : (cons(int,t2tb2(X16),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(X16),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(X16),t2tb1(sK2)))) | nth1(X15,$sum(X16,-1),X17) = nth1(X15,X16,cons(X15,X18,X17)) | nth1(X19,-1,X20) = nth1(X19,0,cons(X19,X21,X20))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(forward_demodulation,[],[f6732,f234])). 119.69/119.02 tff(f6732,plain,( 119.69/119.02 ( ! [X21:uni,X19:ty,X17:uni,X15:ty,X20:uni,X18:uni,X16:$int] : (nth1(X15,$sum(X16,-1),X17) = nth1(X15,X16,cons(X15,X18,X17)) | cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2)))) | nth1(X19,-1,X20) = nth1(X19,0,cons(X19,X21,X20))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(evaluation,[],[f6724])). 119.69/119.02 tff(f6724,plain,( 119.69/119.02 ( ! [X21:uni,X19:ty,X17:uni,X15:ty,X20:uni,X18:uni,X16:$int] : (nth1(X15,$sum(X16,-1),X17) = nth1(X15,X16,cons(X15,X18,X17)) | cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2(X16),t2tb1(sK2)))) | nth1(X19,$sum(0,-1),X20) = nth1(X19,0,cons(X19,X21,X20))) ) | (~spl8_44 | ~spl8_97)), 119.69/119.02 inference(resolution,[],[f5762,f2346])). 119.69/119.02 tff(f2346,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:list_int] : ($less(sK6(X1),X0) | cons(int,cons_proj_11(int,t2tb1(X1)),cons_proj_21(int,t2tb1(X1))) = t2tb1(X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_44), 119.69/119.02 inference(superposition,[],[f1592,f287])). 119.69/119.02 tff(f7865,plain,( 119.69/119.02 spl8_849), 119.69/119.02 inference(avatar_contradiction_clause,[],[f7864])). 119.69/119.02 tff(f7864,plain,( 119.69/119.02 $false | ~spl8_849), 119.69/119.02 inference(resolution,[],[f7817,f233])). 119.69/119.02 tff(f233,plain,( 119.69/119.02 ( ! [X0:$int] : (sort1(int,t2tb2(X0))) )), 119.69/119.02 inference(cnf_transformation,[],[f56])). 119.69/119.02 tff(f56,plain,( 119.69/119.02 ! [X0 : $int] : sort1(int,t2tb2(X0))), 119.69/119.02 inference(rectify,[],[f6])). 119.69/119.02 tff(f6,axiom,( 119.69/119.02 ! [X4 : $int] : sort1(int,t2tb2(X4))), 119.69/119.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 119.69/119.02 tff(f7817,plain,( 119.69/119.02 ~sort1(int,t2tb2(sK1)) | ~spl8_849), 119.69/119.02 inference(avatar_component_clause,[],[f7816])). 119.69/119.02 tff(f7816,plain,( 119.69/119.02 spl8_849 <=> ~sort1(int,t2tb2(sK1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_849])])). 119.69/119.02 tff(f7821,plain,( 119.69/119.02 ~spl8_849 | spl8_850 | ~spl8_726), 119.69/119.02 inference(avatar_split_clause,[],[f7808,f6286,f7819,f7816])). 119.69/119.02 tff(f7808,plain,( 119.69/119.02 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK1) | ~sort1(int,t2tb2(sK1)) | ~spl8_726), 119.69/119.02 inference(superposition,[],[f261,f6287])). 119.69/119.02 tff(f7796,plain,( 119.69/119.02 ~spl8_841 | spl8_846 | spl8_833), 119.69/119.02 inference(avatar_split_clause,[],[f7781,f7716,f7794,f7783])). 119.69/119.02 tff(f7783,plain,( 119.69/119.02 spl8_841 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_841])])). 119.69/119.02 tff(f7794,plain,( 119.69/119.02 spl8_846 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_846])])). 119.69/119.02 tff(f7716,plain,( 119.69/119.02 spl8_833 <=> ~zero_at1(sK2,$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_833])])). 119.69/119.02 tff(f7781,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_833), 119.69/119.02 inference(resolution,[],[f7717,f267])). 119.69/119.02 tff(f7717,plain,( 119.69/119.02 ~zero_at1(sK2,$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_833), 119.69/119.02 inference(avatar_component_clause,[],[f7716])). 119.69/119.02 tff(f7792,plain,( 119.69/119.02 ~spl8_841 | ~spl8_845 | spl8_833), 119.69/119.02 inference(avatar_split_clause,[],[f7780,f7716,f7790,f7783])). 119.69/119.02 tff(f7790,plain,( 119.69/119.02 spl8_845 <=> ~$less(sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_845])])). 119.69/119.02 tff(f7780,plain,( 119.69/119.02 ~$less(sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_833), 119.69/119.02 inference(resolution,[],[f7717,f266])). 119.69/119.02 tff(f7788,plain,( 119.69/119.02 ~spl8_841 | spl8_842 | spl8_833), 119.69/119.02 inference(avatar_split_clause,[],[f7779,f7716,f7786,f7783])). 119.69/119.02 tff(f7786,plain,( 119.69/119.02 spl8_842 <=> $less(sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_842])])). 119.69/119.02 tff(f7779,plain,( 119.69/119.02 $less(sK7(sK2,$sum(1,length1(int,t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_833), 119.69/119.02 inference(resolution,[],[f7717,f265])). 119.69/119.02 tff(f7759,plain,( 119.69/119.02 spl8_658 | spl8_838 | spl8_67), 119.69/119.02 inference(avatar_split_clause,[],[f7758,f767,f7743,f5560])). 119.69/119.02 tff(f7758,plain,( 119.69/119.02 ( ! [X10:uni,X11:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X11))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X11)) | ~no_zero1(tb2t1(cons(int,X10,X11))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f7733,f244])). 119.69/119.02 tff(f7733,plain,( 119.69/119.02 ( ! [X10:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X11)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X10,X11))) | ~no_zero1(tb2t1(cons(int,X10,X11))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f5913,f287])). 119.69/119.02 tff(f5913,plain,( 119.69/119.02 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,X0)) | ~no_zero1(tb2t1(X0))) ) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f5908,f234])). 119.69/119.02 tff(f5908,plain,( 119.69/119.02 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f1093,f234])). 119.69/119.02 tff(f1093,plain,( 119.69/119.02 ( ! [X4:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X4))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_67), 119.69/119.02 inference(resolution,[],[f768,f250])). 119.69/119.02 tff(f7757,plain,( 119.69/119.02 spl8_838 | spl8_652 | ~spl8_44 | spl8_55 | spl8_67 | ~spl8_158 | ~spl8_214 | ~spl8_264), 119.69/119.02 inference(avatar_split_clause,[],[f7756,f1741,f1382,f1113,f767,f711,f678,f5548,f7743])). 119.69/119.02 tff(f7756,plain,( 119.69/119.02 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9)))) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_214 | ~spl8_264)), 119.69/119.02 inference(forward_demodulation,[],[f7755,f1742])). 119.69/119.02 tff(f7755,plain,( 119.69/119.02 ( ! [X8:uni,X9:uni] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9)))) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_214)), 119.69/119.02 inference(forward_demodulation,[],[f7754,f6970])). 119.69/119.02 tff(f7754,plain,( 119.69/119.02 ( ! [X8:uni,X9:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X9))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_214)), 119.69/119.02 inference(forward_demodulation,[],[f7732,f244])). 119.69/119.02 tff(f7732,plain,( 119.69/119.02 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X8,X9))) | ~no_zero1(tb2t1(cons(int,X8,X9))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f5913,f1734])). 119.69/119.02 tff(f7753,plain,( 119.69/119.02 spl8_654 | spl8_838 | spl8_67 | ~spl8_100), 119.69/119.02 inference(avatar_split_clause,[],[f7752,f895,f767,f7743,f5552])). 119.69/119.02 tff(f5552,plain,( 119.69/119.02 spl8_654 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_654])])). 119.69/119.02 tff(f7752,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X7))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7)) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_100)), 119.69/119.02 inference(forward_demodulation,[],[f7731,f244])). 119.69/119.02 tff(f7731,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X6,X7))) | ~no_zero1(tb2t1(cons(int,X6,X7))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_100)), 119.69/119.02 inference(superposition,[],[f5913,f1857])). 119.69/119.02 tff(f7751,plain,( 119.69/119.02 spl8_652 | spl8_838 | spl8_67 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f7750,f3189,f767,f7743,f5548])). 119.69/119.02 tff(f7750,plain,( 119.69/119.02 ( ! [X4:uni,X5:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X5)) | ~no_zero1(tb2t1(cons(int,X4,X5))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_67 | ~spl8_414)), 119.69/119.02 inference(forward_demodulation,[],[f7730,f244])). 119.69/119.02 tff(f7730,plain,( 119.69/119.02 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X5)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X4,X5))) | ~no_zero1(tb2t1(cons(int,X4,X5))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_67 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f5913,f3190])). 119.69/119.02 tff(f7749,plain,( 119.69/119.02 spl8_838 | spl8_828 | ~spl8_44 | spl8_55 | spl8_67 | ~spl8_158 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f7748,f2410,f1746,f1113,f767,f711,f678,f7704,f7743])). 119.69/119.02 tff(f7704,plain,( 119.69/119.02 spl8_828 <=> some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_828])])). 119.69/119.02 tff(f7748,plain,( 119.69/119.02 ( ! [X2:uni,X3:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3)))) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f7747,f2411])). 119.69/119.02 tff(f7747,plain,( 119.69/119.02 ( ! [X2:uni,X3:uni] : (some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3)))) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_266)), 119.69/119.02 inference(forward_demodulation,[],[f7746,f6970])). 119.69/119.02 tff(f7746,plain,( 119.69/119.02 ( ! [X2:uni,X3:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_67 | ~spl8_266)), 119.69/119.02 inference(forward_demodulation,[],[f7729,f244])). 119.69/119.02 tff(f7729,plain,( 119.69/119.02 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X2,X3))) | ~no_zero1(tb2t1(cons(int,X2,X3))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_67 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f5913,f2415])). 119.69/119.02 tff(f7745,plain,( 119.69/119.02 spl8_830 | spl8_838 | spl8_67 | spl8_97), 119.69/119.02 inference(avatar_split_clause,[],[f7741,f878,f767,f7743,f7708])). 119.69/119.02 tff(f7708,plain,( 119.69/119.02 spl8_830 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_830])])). 119.69/119.02 tff(f7741,plain,( 119.69/119.02 ( ! [X0:uni,X1:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_97)), 119.69/119.02 inference(forward_demodulation,[],[f7728,f244])). 119.69/119.02 tff(f7728,plain,( 119.69/119.02 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,X0,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_97)), 119.69/119.02 inference(superposition,[],[f5913,f5770])). 119.69/119.02 tff(f7725,plain,( 119.69/119.02 spl8_764 | spl8_836 | ~spl8_835 | spl8_55 | ~spl8_158 | ~spl8_258), 119.69/119.02 inference(avatar_split_clause,[],[f7219,f6051,f1113,f711,f7719,f7723,f6996])). 119.69/119.02 tff(f7719,plain,( 119.69/119.02 spl8_835 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(-1)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_835])])). 119.69/119.02 tff(f6051,plain,( 119.69/119.02 spl8_258 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,-1,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_258])])). 119.69/119.02 tff(f7219,plain,( 119.69/119.02 ( ! [X30:$int,X33:uni,X31:ty,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(-1))) | ~$less(0,X30) | ~zero_at1(sK2,X30) | nth1(X31,-2,X32) = nth1(X31,-1,cons(X31,X33,X32))) ) | (~spl8_55 | ~spl8_158 | ~spl8_258)), 119.69/119.02 inference(evaluation,[],[f7218])). 119.69/119.02 tff(f7218,plain,( 119.69/119.02 ( ! [X30:$int,X33:uni,X31:ty,X32:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(-1))) | ~$less(0,X30) | ~zero_at1(sK2,X30) | nth1(X31,$sum(-1,-1),X32) = nth1(X31,-1,cons(X31,X33,X32))) ) | (~spl8_55 | ~spl8_158 | ~spl8_258)), 119.69/119.02 inference(superposition,[],[f6156,f6052])). 119.69/119.02 tff(f6052,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,-1,t2tb1(sK2))) | ~spl8_258), 119.69/119.02 inference(avatar_component_clause,[],[f6051])). 119.69/119.02 tff(f7721,plain,( 119.69/119.02 spl8_764 | ~spl8_833 | ~spl8_835 | ~spl8_122 | ~spl8_158 | ~spl8_258), 119.69/119.02 inference(avatar_split_clause,[],[f7402,f6051,f1113,f967,f7719,f7716,f6996])). 119.69/119.02 tff(f7402,plain,( 119.69/119.02 ( ! [X26:uni,X24:ty,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(-1))) | ~zero_at1(sK2,$sum(1,length1(int,t2tb1(sK2)))) | nth1(X24,-2,X25) = nth1(X24,-1,cons(X24,X26,X25))) ) | (~spl8_122 | ~spl8_158 | ~spl8_258)), 119.69/119.02 inference(evaluation,[],[f7401])). 119.69/119.02 tff(f7401,plain,( 119.69/119.02 ( ! [X26:uni,X24:ty,X25:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(-1))) | ~zero_at1(sK2,$sum(1,length1(int,t2tb1(sK2)))) | nth1(X24,$sum(-1,-1),X25) = nth1(X24,-1,cons(X24,X26,X25))) ) | (~spl8_122 | ~spl8_158 | ~spl8_258)), 119.69/119.02 inference(superposition,[],[f6163,f6052])). 119.69/119.02 tff(f6163,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:list_int] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,X0,t2tb1(X1))) | ~zero_at1(X1,$sum(1,length1(int,t2tb1(sK2)))) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_122 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f5966,f287])). 119.69/119.02 tff(f5966,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(X0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f968,f1114])). 119.69/119.02 tff(f7710,plain,( 119.69/119.02 spl8_830 | spl8_826 | spl8_67 | spl8_97), 119.69/119.02 inference(avatar_split_clause,[],[f7594,f878,f767,f7693,f7708])). 119.69/119.02 tff(f7594,plain,( 119.69/119.02 ( ! [X4:$int,X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,X2,X3)),X4) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_97)), 119.69/119.02 inference(superposition,[],[f5869,f5770])). 119.69/119.02 tff(f5869,plain,( 119.69/119.02 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f1092,f234])). 119.69/119.02 tff(f7706,plain,( 119.69/119.02 spl8_826 | spl8_828 | ~spl8_44 | spl8_55 | spl8_67 | ~spl8_158 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f7702,f2410,f1746,f1113,f767,f711,f678,f7704,f7693])). 119.69/119.02 tff(f7702,plain,( 119.69/119.02 ( ! [X6:uni,X7:$int,X5:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X6)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X7) | ~zero_at1(tb2t1(cons(int,X5,X6)),X7)) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f7701,f2411])). 119.69/119.02 tff(f7701,plain,( 119.69/119.02 ( ! [X6:uni,X7:$int,X5:uni] : (some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X6)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X7) | ~zero_at1(tb2t1(cons(int,X5,X6)),X7)) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_266)), 119.69/119.02 inference(forward_demodulation,[],[f7595,f6970])). 119.69/119.02 tff(f7595,plain,( 119.69/119.02 ( ! [X6:uni,X7:$int,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X6)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X7) | ~zero_at1(tb2t1(cons(int,X5,X6)),X7) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_67 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f5869,f2415])). 119.69/119.02 tff(f7700,plain,( 119.69/119.02 spl8_652 | spl8_826 | spl8_67 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f7596,f3189,f767,f7693,f5548])). 119.69/119.02 tff(f7596,plain,( 119.69/119.02 ( ! [X10:$int,X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X10) | ~zero_at1(tb2t1(cons(int,X8,X9)),X10) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_67 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f5869,f3190])). 119.69/119.02 tff(f7699,plain,( 119.69/119.02 spl8_654 | spl8_826 | spl8_67 | ~spl8_100), 119.69/119.02 inference(avatar_split_clause,[],[f7597,f895,f767,f7693,f5552])). 119.69/119.02 tff(f7597,plain,( 119.69/119.02 ( ! [X12:uni,X13:$int,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X13) | ~zero_at1(tb2t1(cons(int,X11,X12)),X13) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_100)), 119.69/119.02 inference(superposition,[],[f5869,f1857])). 119.69/119.02 tff(f7698,plain,( 119.69/119.02 spl8_826 | spl8_652 | ~spl8_44 | spl8_55 | spl8_67 | ~spl8_158 | ~spl8_214 | ~spl8_264), 119.69/119.02 inference(avatar_split_clause,[],[f7697,f1741,f1382,f1113,f767,f711,f678,f5548,f7693])). 119.69/119.02 tff(f7697,plain,( 119.69/119.02 ( ! [X14:uni,X15:uni,X16:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X15)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X16) | ~zero_at1(tb2t1(cons(int,X14,X15)),X16)) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_214 | ~spl8_264)), 119.69/119.02 inference(forward_demodulation,[],[f7696,f1742])). 119.69/119.02 tff(f7696,plain,( 119.69/119.02 ( ! [X14:uni,X15:uni,X16:$int] : (tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X15)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X16) | ~zero_at1(tb2t1(cons(int,X14,X15)),X16)) ) | (~spl8_44 | ~spl8_55 | ~spl8_67 | ~spl8_158 | ~spl8_214)), 119.69/119.02 inference(forward_demodulation,[],[f7598,f6970])). 119.69/119.02 tff(f7598,plain,( 119.69/119.02 ( ! [X14:uni,X15:uni,X16:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X15)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X16) | ~zero_at1(tb2t1(cons(int,X14,X15)),X16) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f5869,f1734])). 119.69/119.02 tff(f7695,plain,( 119.69/119.02 spl8_658 | spl8_826 | spl8_67), 119.69/119.02 inference(avatar_split_clause,[],[f7599,f767,f7693,f5560])). 119.69/119.02 tff(f7599,plain,( 119.69/119.02 ( ! [X19:$int,X17:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X18)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X19) | ~zero_at1(tb2t1(cons(int,X17,X18)),X19) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f5869,f287])). 119.69/119.02 tff(f7677,plain,( 119.69/119.02 spl8_47 | ~spl8_294), 119.69/119.02 inference(avatar_contradiction_clause,[],[f7676])). 119.69/119.02 tff(f7676,plain,( 119.69/119.02 $false | (~spl8_47 | ~spl8_294)), 119.69/119.02 inference(trivial_inequality_removal,[],[f7640])). 119.69/119.02 tff(f7640,plain,( 119.69/119.02 tb2t(none(int)) != tb2t(none(int)) | (~spl8_47 | ~spl8_294)), 119.69/119.02 inference(superposition,[],[f732,f7232])). 119.69/119.02 tff(f7232,plain,( 119.69/119.02 ( ! [X4:ty,X5:uni] : (none(X4) = some(X4,X5)) ) | ~spl8_294), 119.69/119.02 inference(superposition,[],[f7130,f259])). 119.69/119.02 tff(f259,plain,( 119.69/119.02 ( ! [X0:ty,X1:$int] : (none(X0) = nth1(X0,X1,nil(X0))) )), 119.69/119.02 inference(cnf_transformation,[],[f98])). 119.69/119.02 tff(f7130,plain,( 119.69/119.02 ( ! [X4:uni,X5:uni,X3:ty] : (some(X3,X4) = nth1(X3,-1,X5)) ) | ~spl8_294), 119.69/119.02 inference(superposition,[],[f1997,f285])). 119.69/119.02 tff(f1997,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))) ) | ~spl8_294), 119.69/119.02 inference(avatar_component_clause,[],[f1996])). 119.69/119.02 tff(f7674,plain,( 119.69/119.02 ~spl8_294), 119.69/119.02 inference(avatar_contradiction_clause,[],[f7673])). 119.69/119.02 tff(f7673,plain,( 119.69/119.02 $false | ~spl8_294), 119.69/119.02 inference(trivial_inequality_removal,[],[f7670])). 119.69/119.02 tff(f7670,plain,( 119.69/119.02 ( ! [X132:ty] : (none(X132) != none(X132)) ) | ~spl8_294), 119.69/119.02 inference(superposition,[],[f254,f7232])). 119.69/119.02 tff(f7629,plain,( 119.69/119.02 spl8_658 | spl8_822 | spl8_67 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7628,f1996,f767,f7610,f5560])). 119.69/119.02 tff(f7610,plain,( 119.69/119.02 spl8_822 <=> ! [X3 : uni,X2 : uni,X4 : $int] : (tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~zero_at1(tb2t1(cons(int,X2,X3)),X4) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_822])])). 119.69/119.02 tff(f7628,plain,( 119.69/119.02 ( ! [X19:$int,X17:uni,X18:uni] : (tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X18)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X19) | ~zero_at1(tb2t1(cons(int,X17,X18)),X19) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_67 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7599,f7232])). 119.69/119.02 tff(f7623,plain,( 119.69/119.02 spl8_822 | spl8_824 | spl8_67 | ~spl8_100 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7622,f1996,f895,f767,f7613,f7610])). 119.69/119.02 tff(f7613,plain,( 119.69/119.02 spl8_824 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_824])])). 119.69/119.02 tff(f7622,plain,( 119.69/119.02 ( ! [X12:uni,X13:$int,X11:uni] : (tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X13) | ~zero_at1(tb2t1(cons(int,X11,X12)),X13)) ) | (~spl8_67 | ~spl8_100 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7621,f7232])). 119.69/119.02 tff(f7621,plain,( 119.69/119.02 ( ! [X12:uni,X13:$int,X11:uni] : (tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X12)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X13) | ~zero_at1(tb2t1(cons(int,X11,X12)),X13) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_100 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7597,f7232])). 119.69/119.02 tff(f7615,plain,( 119.69/119.02 spl8_822 | spl8_824 | spl8_67 | spl8_97 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7608,f1996,f878,f767,f7613,f7610])). 119.69/119.02 tff(f7608,plain,( 119.69/119.02 ( ! [X4:$int,X2:uni,X3:uni] : (tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,X2,X3)),X4)) ) | (~spl8_67 | ~spl8_97 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7607,f7232])). 119.69/119.02 tff(f7607,plain,( 119.69/119.02 ( ! [X4:$int,X2:uni,X3:uni] : (tb2t(none(int)) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X4) | ~zero_at1(tb2t1(cons(int,X2,X3)),X4) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_67 | ~spl8_97 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7594,f7232])). 119.69/119.02 tff(f7348,plain,( 119.69/119.02 spl8_816 | spl8_820 | ~spl8_104 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7239,f1996,f908,f7346,f7339])). 119.69/119.02 tff(f7339,plain,( 119.69/119.02 spl8_816 <=> ! [X3 : uni,X0 : $int,X2 : ty,X4 : uni] : nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_816])])). 119.69/119.02 tff(f7346,plain,( 119.69/119.02 spl8_820 <=> ! [X7 : uni,X6 : uni] : (tb2t(nth1(int,sK3,X7)) != tb2t(nth1(int,-1,X6)) | ~zero_at1(tb2t1(X7),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_820])])). 119.69/119.02 tff(f7239,plain,( 119.69/119.02 ( ! [X6:uni,X10:uni,X8:ty,X7:uni,X5:$int,X9:uni] : (tb2t(nth1(int,sK3,X7)) != tb2t(nth1(int,-1,X6)) | ~zero_at1(tb2t1(X7),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X8,$sum(X5,-1),X9) = nth1(X8,X5,cons(X8,X10,X9))) ) | (~spl8_104 | ~spl8_294)), 119.69/119.02 inference(superposition,[],[f1844,f7130])). 119.69/119.02 tff(f7344,plain,( 119.69/119.02 spl8_816 | spl8_818 | spl8_47 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7238,f1996,f731,f7342,f7339])). 119.69/119.02 tff(f7342,plain,( 119.69/119.02 spl8_818 <=> ! [X1 : uni] : tb2t(none(int)) != tb2t(nth1(int,-1,X1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_818])])). 119.69/119.02 tff(f7238,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(none(int)) != tb2t(nth1(int,-1,X1)) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_47 | ~spl8_294)), 119.69/119.02 inference(superposition,[],[f804,f7130])). 119.69/119.02 tff(f7332,plain,( 119.69/119.02 spl8_810 | spl8_814 | ~spl8_100 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7328,f1996,f895,f7330,f7319])). 119.69/119.02 tff(f7319,plain,( 119.69/119.02 spl8_810 <=> ! [X8 : uni,X6 : ty] : none(X6) = nth1(X6,-2,X8)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_810])])). 119.69/119.02 tff(f7330,plain,( 119.69/119.02 spl8_814 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(-1),t2tb1(sK2)))),cons(int,t2tb2(-1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_814])])). 119.69/119.02 tff(f7328,plain,( 119.69/119.02 ( ! [X14:ty,X16:uni] : (tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(-1),t2tb1(sK2)))),cons(int,t2tb2(-1),t2tb1(sK2)))) | none(X14) = nth1(X14,-2,X16)) ) | (~spl8_100 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7327,f7232])). 119.69/119.02 tff(f7327,plain,( 119.69/119.02 ( ! [X14:ty,X16:uni] : (none(X14) = nth1(X14,-2,X16) | tb2t(some(int,t2tb2(-1))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(-1),t2tb1(sK2)))),cons(int,t2tb2(-1),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7313,f7232])). 119.69/119.02 tff(f7313,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X16:uni] : (some(X14,X17) = nth1(X14,-2,X16) | tb2t(some(int,t2tb2(-1))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(-1),t2tb1(sK2)))),cons(int,t2tb2(-1),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_294)), 119.69/119.02 inference(evaluation,[],[f7235])). 119.69/119.02 tff(f7235,plain,( 119.69/119.02 ( ! [X14:ty,X17:uni,X16:uni] : (some(X14,X17) = nth1(X14,$sum(-1,-1),X16) | tb2t(some(int,t2tb2(-1))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(-1),t2tb1(sK2)))),cons(int,t2tb2(-1),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_294)), 119.69/119.02 inference(superposition,[],[f7130,f1857])). 119.69/119.02 tff(f7324,plain,( 119.69/119.02 spl8_810 | spl8_812 | ~spl8_266 | ~spl8_294), 119.69/119.02 inference(avatar_split_clause,[],[f7317,f1996,f1746,f7322,f7319])). 119.69/119.02 tff(f7322,plain,( 119.69/119.02 spl8_812 <=> none(int) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(-1),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_812])])). 119.69/119.02 tff(f7317,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni] : (none(int) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(-1),t2tb1(sK2))) | none(X6) = nth1(X6,-2,X8)) ) | (~spl8_266 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7316,f7232])). 119.69/119.02 tff(f7316,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni] : (none(X6) = nth1(X6,-2,X8) | some(int,t2tb2(-1)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(-1),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_294)), 119.69/119.02 inference(forward_demodulation,[],[f7315,f7232])). 119.69/119.02 tff(f7315,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X9:uni] : (some(X6,X9) = nth1(X6,-2,X8) | some(int,t2tb2(-1)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(-1),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_294)), 119.69/119.02 inference(evaluation,[],[f7233])). 119.69/119.02 tff(f7233,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X9:uni] : (some(X6,X9) = nth1(X6,$sum(-1,-1),X8) | some(int,t2tb2(-1)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(-1),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_294)), 119.69/119.02 inference(superposition,[],[f7130,f2415])). 119.69/119.02 tff(f7206,plain,( 119.69/119.02 spl8_96 | spl8_808 | spl8_91), 119.69/119.02 inference(avatar_split_clause,[],[f7202,f866,f7204,f1506])). 119.69/119.02 tff(f1506,plain,( 119.69/119.02 spl8_96 <=> no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_96])])). 119.69/119.02 tff(f7202,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))) ) | ~spl8_91), 119.69/119.02 inference(trivial_inequality_removal,[],[f7199])). 119.69/119.02 tff(f7199,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))) ) | ~spl8_91), 119.69/119.02 inference(superposition,[],[f5604,f249])). 119.69/119.02 tff(f7101,plain,( 119.69/119.02 spl8_270 | spl8_796 | ~spl8_12 | ~spl8_460), 119.69/119.02 inference(avatar_split_clause,[],[f7100,f3776,f751,f7091,f1792])). 119.69/119.02 tff(f7091,plain,( 119.69/119.02 spl8_796 <=> ! [X44 : uni,X43 : uni] : (cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),X44) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(1,length1(int,X44))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_796])])). 119.69/119.02 tff(f3776,plain,( 119.69/119.02 spl8_460 <=> ! [X5 : ty,X7 : uni,X6 : uni] : nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_460])])). 119.69/119.02 tff(f7100,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),X44) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(forward_demodulation,[],[f7099,f273])). 119.69/119.02 tff(f7099,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(forward_demodulation,[],[f7084,f244])). 119.69/119.02 tff(f7084,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,cons(int,X43,X44))) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(evaluation,[],[f4969])). 119.69/119.02 tff(f4969,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,cons(int,X43,X44))) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(superposition,[],[f2241,f3777])). 119.69/119.02 tff(f3777,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | ~spl8_460), 119.69/119.02 inference(avatar_component_clause,[],[f3776])). 119.69/119.02 tff(f7093,plain,( 119.69/119.02 spl8_270 | spl8_796 | ~spl8_12 | ~spl8_460), 119.69/119.02 inference(avatar_split_clause,[],[f7089,f3776,f751,f7091,f1792])). 119.69/119.02 tff(f7089,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),X44) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(forward_demodulation,[],[f7088,f273])). 119.69/119.02 tff(f7088,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(forward_demodulation,[],[f4973,f244])). 119.69/119.02 tff(f4973,plain,( 119.69/119.02 ( ! [X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X44)) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,cons(int,X43,X44))) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1)) ) | (~spl8_12 | ~spl8_460)), 119.69/119.02 inference(evaluation,[],[f4969])). 119.69/119.02 tff(f7063,plain,( 119.69/119.02 spl8_764 | spl8_396 | spl8_55 | ~spl8_158 | ~spl8_508), 119.69/119.02 inference(avatar_split_clause,[],[f6928,f6055,f1113,f711,f2891,f6996])). 119.69/119.02 tff(f6055,plain,( 119.69/119.02 spl8_508 <=> $less(-1,length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_508])])). 119.69/119.02 tff(f6928,plain,( 119.69/119.02 ( ! [X441:uni,X443:uni,X444:uni,X440:uni,X442:ty,X439:ty] : (nth1(X439,$sum(length1(int,t2tb1(sK2)),-1),X440) = nth1(X439,length1(int,t2tb1(sK2)),cons(X439,X441,X440)) | nth1(X442,-2,X443) = nth1(X442,-1,cons(X442,X444,X443))) ) | (~spl8_55 | ~spl8_158 | ~spl8_508)), 119.69/119.02 inference(evaluation,[],[f6927])). 119.69/119.02 tff(f6927,plain,( 119.69/119.02 ( ! [X441:uni,X443:uni,X444:uni,X440:uni,X442:ty,X439:ty] : (nth1(X439,$sum(length1(int,t2tb1(sK2)),-1),X440) = nth1(X439,length1(int,t2tb1(sK2)),cons(X439,X441,X440)) | nth1(X442,$sum(-1,-1),X443) = nth1(X442,-1,cons(X442,X444,X443))) ) | (~spl8_55 | ~spl8_158 | ~spl8_508)), 119.69/119.02 inference(resolution,[],[f6151,f6056])). 119.69/119.02 tff(f6056,plain,( 119.69/119.02 $less(-1,length1(int,t2tb1(sK2))) | ~spl8_508), 119.69/119.02 inference(avatar_component_clause,[],[f6055])). 119.69/119.02 tff(f7062,plain,( 119.69/119.02 spl8_794 | spl8_384 | spl8_55 | ~spl8_158 | ~spl8_428), 119.69/119.02 inference(avatar_split_clause,[],[f6926,f3662,f1113,f711,f2684,f7060])). 119.69/119.02 tff(f7060,plain,( 119.69/119.02 spl8_794 <=> ! [X437 : uni,X438 : uni,X436 : ty] : nth1(X436,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),-1),X437) = nth1(X436,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(X436,X438,X437))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_794])])). 119.69/119.02 tff(f2684,plain,( 119.69/119.02 spl8_384 <=> ! [X25 : ty,X27 : uni,X26 : uni] : nth1(X25,$sum(sK3,-1),X26) = nth1(X25,sK3,cons(X25,X27,X26))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_384])])). 119.69/119.02 tff(f3662,plain,( 119.69/119.02 spl8_428 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),sK3)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_428])])). 119.69/119.02 tff(f6926,plain,( 119.69/119.02 ( ! [X436:ty,X438:uni,X434:uni,X437:uni,X433:ty,X435:uni] : (nth1(X433,$sum(sK3,-1),X434) = nth1(X433,sK3,cons(X433,X435,X434)) | nth1(X436,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),-1),X437) = nth1(X436,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(X436,X438,X437))) ) | (~spl8_55 | ~spl8_158 | ~spl8_428)), 119.69/119.02 inference(resolution,[],[f6151,f3663])). 119.69/119.02 tff(f3663,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),sK3) | ~spl8_428), 119.69/119.02 inference(avatar_component_clause,[],[f3662])). 119.69/119.02 tff(f7058,plain,( 119.69/119.02 spl8_784 | spl8_452 | spl8_55 | ~spl8_158 | ~spl8_342), 119.69/119.02 inference(avatar_split_clause,[],[f6930,f2392,f1113,f711,f3758,f7038])). 119.69/119.02 tff(f7038,plain,( 119.69/119.02 spl8_784 <=> ! [X348 : ty,X349 : uni,X350 : uni] : nth1(X348,$sum(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),-1),X349) = nth1(X348,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),cons(X348,X350,X349))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_784])])). 119.69/119.02 tff(f3758,plain,( 119.69/119.02 spl8_452 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum(sK6(tb2t1(nil(int))),-2),X1) = nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),cons(X0,X2,X1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_452])])). 119.69/119.02 tff(f2392,plain,( 119.69/119.02 spl8_342 <=> $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),$sum(sK6(tb2t1(nil(int))),-1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_342])])). 119.69/119.02 tff(f6930,plain,( 119.69/119.02 ( ! [X408:uni,X405:uni,X407:uni,X403:ty,X404:uni,X406:ty] : (nth1(X403,$sum(sK6(tb2t1(nil(int))),-2),X404) = nth1(X403,$sum(sK6(tb2t1(nil(int))),-1),cons(X403,X405,X404)) | nth1(X406,$sum(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),-1),X407) = nth1(X406,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),cons(X406,X408,X407))) ) | (~spl8_55 | ~spl8_158 | ~spl8_342)), 119.69/119.02 inference(evaluation,[],[f6921])). 119.69/119.02 tff(f6921,plain,( 119.69/119.02 ( ! [X408:uni,X405:uni,X407:uni,X403:ty,X404:uni,X406:ty] : (nth1(X403,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X404) = nth1(X403,$sum(sK6(tb2t1(nil(int))),-1),cons(X403,X405,X404)) | nth1(X406,$sum(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),-1),X407) = nth1(X406,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),cons(X406,X408,X407))) ) | (~spl8_55 | ~spl8_158 | ~spl8_342)), 119.69/119.02 inference(resolution,[],[f6151,f2393])). 119.69/119.02 tff(f2393,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | ~spl8_342), 119.69/119.02 inference(avatar_component_clause,[],[f2392])). 119.69/119.02 tff(f7057,plain,( 119.69/119.02 spl8_786 | spl8_460 | spl8_55 | ~spl8_158 | ~spl8_276), 119.69/119.02 inference(avatar_split_clause,[],[f6931,f1804,f1113,f711,f3776,f7042])). 119.69/119.02 tff(f7042,plain,( 119.69/119.02 spl8_786 <=> ! [X355 : uni,X354 : ty,X356 : uni] : nth1(X354,$sum(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),-1),X355) = nth1(X354,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),cons(X354,X356,X355))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_786])])). 119.69/119.02 tff(f1804,plain,( 119.69/119.02 spl8_276 <=> $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_276])])). 119.69/119.02 tff(f6931,plain,( 119.69/119.02 ( ! [X397:ty,X399:uni,X401:uni,X398:uni,X400:ty,X402:uni] : (nth1(X397,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X398) = nth1(X397,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X397,X399,X398)) | nth1(X400,$sum(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),-1),X401) = nth1(X400,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),cons(X400,X402,X401))) ) | (~spl8_55 | ~spl8_158 | ~spl8_276)), 119.69/119.02 inference(evaluation,[],[f6920])). 119.69/119.02 tff(f6920,plain,( 119.69/119.02 ( ! [X397:ty,X399:uni,X401:uni,X398:uni,X400:ty,X402:uni] : (nth1(X397,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X398) = nth1(X397,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X397,X399,X398)) | nth1(X400,$sum(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),-1),X401) = nth1(X400,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),cons(X400,X402,X401))) ) | (~spl8_55 | ~spl8_158 | ~spl8_276)), 119.69/119.02 inference(resolution,[],[f6151,f1805])). 119.69/119.02 tff(f1805,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~spl8_276), 119.69/119.02 inference(avatar_component_clause,[],[f1804])). 119.69/119.02 tff(f7056,plain,( 119.69/119.02 spl8_792 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_220), 119.69/119.02 inference(avatar_split_clause,[],[f6932,f2143,f1113,f711,f1996,f7054])). 119.69/119.02 tff(f7054,plain,( 119.69/119.02 spl8_792 <=> ! [X373 : uni,X374 : uni,X372 : ty] : nth1(X372,$sum(sK7(sK5,sK0),-1),X373) = nth1(X372,sK7(sK5,sK0),cons(X372,X374,X373))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_792])])). 119.69/119.02 tff(f2143,plain,( 119.69/119.02 spl8_220 <=> $less(sK7(sK5,sK0),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_220])])). 119.69/119.02 tff(f6932,plain,( 119.69/119.02 ( ! [X372:ty,X374:uni,X370:uni,X373:uni,X369:ty,X371:uni] : (nth1(X369,-1,X370) = nth1(X369,0,cons(X369,X371,X370)) | nth1(X372,$sum(sK7(sK5,sK0),-1),X373) = nth1(X372,sK7(sK5,sK0),cons(X372,X374,X373))) ) | (~spl8_55 | ~spl8_158 | ~spl8_220)), 119.69/119.02 inference(evaluation,[],[f6916])). 119.69/119.02 tff(f6916,plain,( 119.69/119.02 ( ! [X372:ty,X374:uni,X370:uni,X373:uni,X369:ty,X371:uni] : (nth1(X369,$sum(0,-1),X370) = nth1(X369,0,cons(X369,X371,X370)) | nth1(X372,$sum(sK7(sK5,sK0),-1),X373) = nth1(X372,sK7(sK5,sK0),cons(X372,X374,X373))) ) | (~spl8_55 | ~spl8_158 | ~spl8_220)), 119.69/119.02 inference(resolution,[],[f6151,f2144])). 119.69/119.02 tff(f2144,plain,( 119.69/119.02 $less(sK7(sK5,sK0),0) | ~spl8_220), 119.69/119.02 inference(avatar_component_clause,[],[f2143])). 119.69/119.02 tff(f7052,plain,( 119.69/119.02 spl8_790 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_462), 119.69/119.02 inference(avatar_split_clause,[],[f6933,f5643,f1113,f711,f1996,f7050])). 119.69/119.02 tff(f7050,plain,( 119.69/119.02 spl8_790 <=> ! [X367 : uni,X368 : uni,X366 : ty] : nth1(X366,$sum(sK7(sK2,0),-1),X367) = nth1(X366,sK7(sK2,0),cons(X366,X368,X367))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_790])])). 119.69/119.02 tff(f6933,plain,( 119.69/119.02 ( ! [X364:uni,X366:ty,X368:uni,X365:uni,X367:uni,X363:ty] : (nth1(X363,-1,X364) = nth1(X363,0,cons(X363,X365,X364)) | nth1(X366,$sum(sK7(sK2,0),-1),X367) = nth1(X366,sK7(sK2,0),cons(X366,X368,X367))) ) | (~spl8_55 | ~spl8_158 | ~spl8_462)), 119.69/119.02 inference(evaluation,[],[f6915])). 119.69/119.02 tff(f6915,plain,( 119.69/119.02 ( ! [X364:uni,X366:ty,X368:uni,X365:uni,X367:uni,X363:ty] : (nth1(X363,$sum(0,-1),X364) = nth1(X363,0,cons(X363,X365,X364)) | nth1(X366,$sum(sK7(sK2,0),-1),X367) = nth1(X366,sK7(sK2,0),cons(X366,X368,X367))) ) | (~spl8_55 | ~spl8_158 | ~spl8_462)), 119.69/119.02 inference(resolution,[],[f6151,f5644])). 119.69/119.02 tff(f7048,plain,( 119.69/119.02 spl8_788 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_638), 119.69/119.02 inference(avatar_split_clause,[],[f6934,f5718,f1113,f711,f1996,f7046])). 119.69/119.02 tff(f7046,plain,( 119.69/119.02 spl8_788 <=> ! [X361 : uni,X362 : uni,X360 : ty] : nth1(X360,$sum(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),-1),X361) = nth1(X360,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),cons(X360,X362,X361))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_788])])). 119.69/119.02 tff(f5718,plain,( 119.69/119.02 spl8_638 <=> $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_638])])). 119.69/119.02 tff(f6934,plain,( 119.69/119.02 ( ! [X358:uni,X360:ty,X362:uni,X357:ty,X359:uni,X361:uni] : (nth1(X357,-1,X358) = nth1(X357,0,cons(X357,X359,X358)) | nth1(X360,$sum(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),-1),X361) = nth1(X360,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),cons(X360,X362,X361))) ) | (~spl8_55 | ~spl8_158 | ~spl8_638)), 119.69/119.02 inference(evaluation,[],[f6914])). 119.69/119.02 tff(f6914,plain,( 119.69/119.02 ( ! [X358:uni,X360:ty,X362:uni,X357:ty,X359:uni,X361:uni] : (nth1(X357,$sum(0,-1),X358) = nth1(X357,0,cons(X357,X359,X358)) | nth1(X360,$sum(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),-1),X361) = nth1(X360,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),cons(X360,X362,X361))) ) | (~spl8_55 | ~spl8_158 | ~spl8_638)), 119.69/119.02 inference(resolution,[],[f6151,f5719])). 119.69/119.02 tff(f5719,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~spl8_638), 119.69/119.02 inference(avatar_component_clause,[],[f5718])). 119.69/119.02 tff(f7044,plain,( 119.69/119.02 spl8_786 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_278), 119.69/119.02 inference(avatar_split_clause,[],[f6935,f2701,f1113,f711,f1996,f7042])). 119.69/119.02 tff(f2701,plain,( 119.69/119.02 spl8_278 <=> $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_278])])). 119.69/119.02 tff(f6935,plain,( 119.69/119.02 ( ! [X356:uni,X352:uni,X354:ty,X351:ty,X353:uni,X355:uni] : (nth1(X351,-1,X352) = nth1(X351,0,cons(X351,X353,X352)) | nth1(X354,$sum(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),-1),X355) = nth1(X354,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),cons(X354,X356,X355))) ) | (~spl8_55 | ~spl8_158 | ~spl8_278)), 119.69/119.02 inference(evaluation,[],[f6913])). 119.69/119.02 tff(f6913,plain,( 119.69/119.02 ( ! [X356:uni,X352:uni,X354:ty,X351:ty,X353:uni,X355:uni] : (nth1(X351,$sum(0,-1),X352) = nth1(X351,0,cons(X351,X353,X352)) | nth1(X354,$sum(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),-1),X355) = nth1(X354,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),cons(X354,X356,X355))) ) | (~spl8_55 | ~spl8_158 | ~spl8_278)), 119.69/119.02 inference(resolution,[],[f6151,f2702])). 119.69/119.02 tff(f2702,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | ~spl8_278), 119.69/119.02 inference(avatar_component_clause,[],[f2701])). 119.69/119.02 tff(f7040,plain,( 119.69/119.02 spl8_784 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_332), 119.69/119.02 inference(avatar_split_clause,[],[f6936,f2375,f1113,f711,f1996,f7038])). 119.69/119.02 tff(f2375,plain,( 119.69/119.02 spl8_332 <=> $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_332])])). 119.69/119.02 tff(f6936,plain,( 119.69/119.02 ( ! [X350:uni,X346:uni,X349:uni,X345:ty,X347:uni,X348:ty] : (nth1(X345,-1,X346) = nth1(X345,0,cons(X345,X347,X346)) | nth1(X348,$sum(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),-1),X349) = nth1(X348,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),cons(X348,X350,X349))) ) | (~spl8_55 | ~spl8_158 | ~spl8_332)), 119.69/119.02 inference(evaluation,[],[f6912])). 119.69/119.02 tff(f6912,plain,( 119.69/119.02 ( ! [X350:uni,X346:uni,X349:uni,X345:ty,X347:uni,X348:ty] : (nth1(X345,$sum(0,-1),X346) = nth1(X345,0,cons(X345,X347,X346)) | nth1(X348,$sum(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),-1),X349) = nth1(X348,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),cons(X348,X350,X349))) ) | (~spl8_55 | ~spl8_158 | ~spl8_332)), 119.69/119.02 inference(resolution,[],[f6151,f2376])). 119.69/119.02 tff(f2376,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | ~spl8_332), 119.69/119.02 inference(avatar_component_clause,[],[f2375])). 119.69/119.02 tff(f7036,plain,( 119.69/119.02 spl8_782 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_394), 119.69/119.02 inference(avatar_split_clause,[],[f6937,f2888,f1113,f711,f1996,f7034])). 119.69/119.02 tff(f7034,plain,( 119.69/119.02 spl8_782 <=> ! [X342 : uni,X343 : uni,X341 : ty,X344 : uni] : (nth1(X341,$sum(sK7(tb2t1(X342),length1(int,t2tb1(sK2))),-1),X343) = nth1(X341,sK7(tb2t1(X342),length1(int,t2tb1(sK2))),cons(X341,X344,X343)) | cons(int,cons_proj_11(int,X342),cons_proj_21(int,X342)) = X342)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_782])])). 119.69/119.02 tff(f2888,plain,( 119.69/119.02 spl8_394 <=> $less(sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_394])])). 119.69/119.02 tff(f6937,plain,( 119.69/119.02 ( ! [X344:uni,X341:ty,X343:uni,X339:uni,X340:uni,X342:uni,X338:ty] : (nth1(X338,-1,X339) = nth1(X338,0,cons(X338,X340,X339)) | nth1(X341,$sum(sK7(tb2t1(X342),length1(int,t2tb1(sK2))),-1),X343) = nth1(X341,sK7(tb2t1(X342),length1(int,t2tb1(sK2))),cons(X341,X344,X343)) | cons(int,cons_proj_11(int,X342),cons_proj_21(int,X342)) = X342) ) | (~spl8_55 | ~spl8_158 | ~spl8_394)), 119.69/119.02 inference(evaluation,[],[f6911])). 119.69/119.02 tff(f6911,plain,( 119.69/119.02 ( ! [X344:uni,X341:ty,X343:uni,X339:uni,X340:uni,X342:uni,X338:ty] : (nth1(X338,$sum(0,-1),X339) = nth1(X338,0,cons(X338,X340,X339)) | nth1(X341,$sum(sK7(tb2t1(X342),length1(int,t2tb1(sK2))),-1),X343) = nth1(X341,sK7(tb2t1(X342),length1(int,t2tb1(sK2))),cons(X341,X344,X343)) | cons(int,cons_proj_11(int,X342),cons_proj_21(int,X342)) = X342) ) | (~spl8_55 | ~spl8_158 | ~spl8_394)), 119.69/119.02 inference(resolution,[],[f6151,f2926])). 119.69/119.02 tff(f2926,plain,( 119.69/119.02 ( ! [X1:uni] : ($less(sK7(tb2t1(X1),length1(int,t2tb1(sK2))),0) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_394), 119.69/119.02 inference(superposition,[],[f2889,f260])). 119.69/119.02 tff(f2889,plain,( 119.69/119.02 $less(sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),0) | ~spl8_394), 119.69/119.02 inference(avatar_component_clause,[],[f2888])). 119.69/119.02 tff(f7032,plain,( 119.69/119.02 spl8_780 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_186), 119.69/119.02 inference(avatar_split_clause,[],[f6938,f2831,f1113,f711,f1996,f7030])). 119.69/119.02 tff(f7030,plain,( 119.69/119.02 spl8_780 <=> ! [X336 : uni,X334 : ty,X337 : uni,X335 : uni] : (nth1(X334,$sum(sK7(tb2t1(X335),0),-1),X336) = nth1(X334,sK7(tb2t1(X335),0),cons(X334,X337,X336)) | cons(int,cons_proj_11(int,X335),cons_proj_21(int,X335)) = X335)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_780])])). 119.69/119.02 tff(f6938,plain,( 119.69/119.02 ( ! [X333:uni,X335:uni,X331:ty,X337:uni,X332:uni,X334:ty,X336:uni] : (nth1(X331,-1,X332) = nth1(X331,0,cons(X331,X333,X332)) | nth1(X334,$sum(sK7(tb2t1(X335),0),-1),X336) = nth1(X334,sK7(tb2t1(X335),0),cons(X334,X337,X336)) | cons(int,cons_proj_11(int,X335),cons_proj_21(int,X335)) = X335) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(evaluation,[],[f6910])). 119.69/119.02 tff(f6910,plain,( 119.69/119.02 ( ! [X333:uni,X335:uni,X331:ty,X337:uni,X332:uni,X334:ty,X336:uni] : (nth1(X331,$sum(0,-1),X332) = nth1(X331,0,cons(X331,X333,X332)) | nth1(X334,$sum(sK7(tb2t1(X335),0),-1),X336) = nth1(X334,sK7(tb2t1(X335),0),cons(X334,X337,X336)) | cons(int,cons_proj_11(int,X335),cons_proj_21(int,X335)) = X335) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(resolution,[],[f6151,f2837])). 119.69/119.02 tff(f7028,plain,( 119.69/119.02 spl8_778 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_186), 119.69/119.02 inference(avatar_split_clause,[],[f6940,f2831,f1113,f711,f1996,f7026])). 119.69/119.02 tff(f7026,plain,( 119.69/119.02 spl8_778 <=> ! [X322 : ty,X324 : uni,X323 : uni] : nth1(X322,$sum(sK7(tb2t1(nil(int)),0),-1),X323) = nth1(X322,sK7(tb2t1(nil(int)),0),cons(X322,X324,X323))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_778])])). 119.69/119.02 tff(f6940,plain,( 119.69/119.02 ( ! [X321:uni,X323:uni,X324:uni,X320:uni,X322:ty,X319:ty] : (nth1(X319,-1,X320) = nth1(X319,0,cons(X319,X321,X320)) | nth1(X322,$sum(sK7(tb2t1(nil(int)),0),-1),X323) = nth1(X322,sK7(tb2t1(nil(int)),0),cons(X322,X324,X323))) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(evaluation,[],[f6908])). 119.69/119.02 tff(f6908,plain,( 119.69/119.02 ( ! [X321:uni,X323:uni,X324:uni,X320:uni,X322:ty,X319:ty] : (nth1(X319,$sum(0,-1),X320) = nth1(X319,0,cons(X319,X321,X320)) | nth1(X322,$sum(sK7(tb2t1(nil(int)),0),-1),X323) = nth1(X322,sK7(tb2t1(nil(int)),0),cons(X322,X324,X323))) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(resolution,[],[f6151,f2832])). 119.69/119.02 tff(f7024,plain,( 119.69/119.02 spl8_776 | spl8_294 | spl8_55 | ~spl8_140 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6941,f1113,f5413,f711,f1996,f7022])). 119.69/119.02 tff(f7022,plain,( 119.69/119.02 spl8_776 <=> ! [X317 : uni,X318 : uni,X316 : ty] : nth1(X316,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),-1),X317) = nth1(X316,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(X316,X318,X317))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_776])])). 119.69/119.02 tff(f6941,plain,( 119.69/119.02 ( ! [X313:ty,X315:uni,X316:ty,X318:uni,X314:uni,X317:uni] : (nth1(X313,-1,X314) = nth1(X313,0,cons(X313,X315,X314)) | nth1(X316,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),-1),X317) = nth1(X316,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(X316,X318,X317))) ) | (~spl8_55 | ~spl8_140 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6907])). 119.69/119.02 tff(f6907,plain,( 119.69/119.02 ( ! [X313:ty,X315:uni,X316:ty,X318:uni,X314:uni,X317:uni] : (nth1(X313,$sum(0,-1),X314) = nth1(X313,0,cons(X313,X315,X314)) | nth1(X316,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),-1),X317) = nth1(X316,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(X316,X318,X317))) ) | (~spl8_55 | ~spl8_140 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f5414])). 119.69/119.02 tff(f7020,plain,( 119.69/119.02 spl8_532 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_204), 119.69/119.02 inference(avatar_split_clause,[],[f6942,f5930,f1113,f711,f1996,f4821])). 119.69/119.02 tff(f4821,plain,( 119.69/119.02 spl8_532 <=> ! [X65 : uni,X64 : ty,X66 : uni] : nth1(X64,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X65) = nth1(X64,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X64,X66,X65))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_532])])). 119.69/119.02 tff(f6942,plain,( 119.69/119.02 ( ! [X308:uni,X310:ty,X312:uni,X309:uni,X311:uni,X307:ty] : (nth1(X307,-1,X308) = nth1(X307,0,cons(X307,X309,X308)) | nth1(X310,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X311) = nth1(X310,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X310,X312,X311))) ) | (~spl8_55 | ~spl8_158 | ~spl8_204)), 119.69/119.02 inference(evaluation,[],[f6906])). 119.69/119.02 tff(f6906,plain,( 119.69/119.02 ( ! [X308:uni,X310:ty,X312:uni,X309:uni,X311:uni,X307:ty] : (nth1(X307,$sum(0,-1),X308) = nth1(X307,0,cons(X307,X309,X308)) | nth1(X310,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X311) = nth1(X310,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X310,X312,X311))) ) | (~spl8_55 | ~spl8_158 | ~spl8_204)), 119.69/119.02 inference(resolution,[],[f6151,f5931])). 119.69/119.02 tff(f7019,plain,( 119.69/119.02 spl8_774 | spl8_294 | spl8_55 | ~spl8_118 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6944,f1113,f1586,f711,f1996,f7017])). 119.69/119.02 tff(f7017,plain,( 119.69/119.02 spl8_774 <=> ! [X299 : uni,X297 : ty,X298 : uni] : nth1(X297,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X298) = nth1(X297,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X297,X299,X298))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_774])])). 119.69/119.02 tff(f6944,plain,( 119.69/119.02 ( ! [X294:ty,X296:uni,X298:uni,X295:uni,X297:ty,X299:uni] : (nth1(X294,-1,X295) = nth1(X294,0,cons(X294,X296,X295)) | nth1(X297,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X298) = nth1(X297,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X297,X299,X298))) ) | (~spl8_55 | ~spl8_118 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6904])). 119.69/119.02 tff(f6904,plain,( 119.69/119.02 ( ! [X294:ty,X296:uni,X298:uni,X295:uni,X297:ty,X299:uni] : (nth1(X294,$sum(0,-1),X295) = nth1(X294,0,cons(X294,X296,X295)) | nth1(X297,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X298) = nth1(X297,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X297,X299,X298))) ) | (~spl8_55 | ~spl8_118 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f1587])). 119.69/119.02 tff(f1587,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_118), 119.69/119.02 inference(avatar_component_clause,[],[f1586])). 119.69/119.02 tff(f7015,plain,( 119.69/119.02 spl8_772 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_186), 119.69/119.02 inference(avatar_split_clause,[],[f6945,f2831,f1113,f711,f1996,f7013])). 119.69/119.02 tff(f7013,plain,( 119.69/119.02 spl8_772 <=> ! [X291 : list_int,X293 : uni,X290 : ty,X292 : uni] : (nth1(X290,$sum(sK7(X291,0),-1),X292) = nth1(X290,sK7(X291,0),cons(X290,X293,X292)) | cons(int,cons_proj_11(int,t2tb1(X291)),cons_proj_21(int,t2tb1(X291))) = t2tb1(X291))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_772])])). 119.69/119.02 tff(f6945,plain,( 119.69/119.02 ( ! [X292:uni,X288:uni,X290:ty,X287:ty,X293:uni,X289:uni,X291:list_int] : (nth1(X287,-1,X288) = nth1(X287,0,cons(X287,X289,X288)) | nth1(X290,$sum(sK7(X291,0),-1),X292) = nth1(X290,sK7(X291,0),cons(X290,X293,X292)) | cons(int,cons_proj_11(int,t2tb1(X291)),cons_proj_21(int,t2tb1(X291))) = t2tb1(X291)) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(evaluation,[],[f6903])). 119.69/119.02 tff(f6903,plain,( 119.69/119.02 ( ! [X292:uni,X288:uni,X290:ty,X287:ty,X293:uni,X289:uni,X291:list_int] : (nth1(X287,$sum(0,-1),X288) = nth1(X287,0,cons(X287,X289,X288)) | nth1(X290,$sum(sK7(X291,0),-1),X292) = nth1(X290,sK7(X291,0),cons(X290,X293,X292)) | cons(int,cons_proj_11(int,t2tb1(X291)),cons_proj_21(int,t2tb1(X291))) = t2tb1(X291)) ) | (~spl8_55 | ~spl8_158 | ~spl8_186)), 119.69/119.02 inference(resolution,[],[f6151,f2856])). 119.69/119.02 tff(f7011,plain,( 119.69/119.02 spl8_766 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_196), 119.69/119.02 inference(avatar_split_clause,[],[f6961,f2156,f1113,f711,f1996,f7000])). 119.69/119.02 tff(f7000,plain,( 119.69/119.02 spl8_766 <=> ! [X119 : ty,X120 : uni,X121 : uni] : nth1(X119,$sum(sK6(sK5),-1),X120) = nth1(X119,sK6(sK5),cons(X119,X121,X120))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_766])])). 119.69/119.02 tff(f2156,plain,( 119.69/119.02 spl8_196 <=> $less(sK6(sK5),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_196])])). 119.69/119.02 tff(f6961,plain,( 119.69/119.02 ( ! [X158:uni,X156:uni,X154:ty,X159:uni,X157:ty,X155:uni] : (nth1(X154,-1,X155) = nth1(X154,0,cons(X154,X156,X155)) | nth1(X157,$sum(sK6(sK5),-1),X158) = nth1(X157,sK6(sK5),cons(X157,X159,X158))) ) | (~spl8_55 | ~spl8_158 | ~spl8_196)), 119.69/119.02 inference(evaluation,[],[f6887])). 119.69/119.02 tff(f6887,plain,( 119.69/119.02 ( ! [X158:uni,X156:uni,X154:ty,X159:uni,X157:ty,X155:uni] : (nth1(X154,$sum(0,-1),X155) = nth1(X154,0,cons(X154,X156,X155)) | nth1(X157,$sum(sK6(sK5),-1),X158) = nth1(X157,sK6(sK5),cons(X157,X159,X158))) ) | (~spl8_55 | ~spl8_158 | ~spl8_196)), 119.69/119.02 inference(resolution,[],[f6151,f2157])). 119.69/119.02 tff(f2157,plain,( 119.69/119.02 $less(sK6(sK5),0) | ~spl8_196), 119.69/119.02 inference(avatar_component_clause,[],[f2156])). 119.69/119.02 tff(f7010,plain,( 119.69/119.02 spl8_770 | spl8_396 | spl8_55 | ~spl8_148 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6883,f1113,f1080,f711,f2891,f7008])). 119.69/119.02 tff(f6883,plain,( 119.69/119.02 ( ! [X132:uni,X130:uni,X128:ty,X133:uni,X131:ty,X129:uni] : (nth1(X128,$sum(length1(int,t2tb1(sK2)),-1),X129) = nth1(X128,length1(int,t2tb1(sK2)),cons(X128,X130,X129)) | nth1(X131,$sum(sK6(sK2),-1),X132) = nth1(X131,sK6(sK2),cons(X131,X133,X132))) ) | (~spl8_55 | ~spl8_148 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f1081])). 119.69/119.02 tff(f7006,plain,( 119.69/119.02 spl8_766 | spl8_768 | spl8_55 | ~spl8_158 | ~spl8_194), 119.69/119.02 inference(avatar_split_clause,[],[f6882,f1241,f1113,f711,f7004,f7000])). 119.69/119.02 tff(f1241,plain,( 119.69/119.02 spl8_194 <=> $less(sK6(sK5),length1(int,t2tb1(sK5)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_194])])). 119.69/119.02 tff(f6882,plain,( 119.69/119.02 ( ! [X127:uni,X125:ty,X123:uni,X126:uni,X124:uni,X122:ty] : (nth1(X122,$sum(length1(int,t2tb1(sK5)),-1),X123) = nth1(X122,length1(int,t2tb1(sK5)),cons(X122,X124,X123)) | nth1(X125,$sum(sK6(sK5),-1),X126) = nth1(X125,sK6(sK5),cons(X125,X127,X126))) ) | (~spl8_55 | ~spl8_158 | ~spl8_194)), 119.69/119.02 inference(resolution,[],[f6151,f1242])). 119.69/119.02 tff(f1242,plain,( 119.69/119.02 $less(sK6(sK5),length1(int,t2tb1(sK5))) | ~spl8_194), 119.69/119.02 inference(avatar_component_clause,[],[f1241])). 119.69/119.02 tff(f7002,plain,( 119.69/119.02 spl8_766 | spl8_396 | spl8_55 | ~spl8_158 | ~spl8_166), 119.69/119.02 inference(avatar_split_clause,[],[f6881,f1147,f1113,f711,f2891,f7000])). 119.69/119.02 tff(f1147,plain,( 119.69/119.02 spl8_166 <=> $less(sK6(sK5),length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_166])])). 119.69/119.02 tff(f6881,plain,( 119.69/119.02 ( ! [X121:uni,X118:uni,X116:ty,X120:uni,X119:ty,X117:uni] : (nth1(X116,$sum(length1(int,t2tb1(sK2)),-1),X117) = nth1(X116,length1(int,t2tb1(sK2)),cons(X116,X118,X117)) | nth1(X119,$sum(sK6(sK5),-1),X120) = nth1(X119,sK6(sK5),cons(X119,X121,X120))) ) | (~spl8_55 | ~spl8_158 | ~spl8_166)), 119.69/119.02 inference(resolution,[],[f6151,f1148])). 119.69/119.02 tff(f1148,plain,( 119.69/119.02 $less(sK6(sK5),length1(int,t2tb1(sK2))) | ~spl8_166), 119.69/119.02 inference(avatar_component_clause,[],[f1147])). 119.69/119.02 tff(f6998,plain,( 119.69/119.02 spl8_762 | spl8_764 | spl8_55 | ~spl8_158 | ~spl8_366), 119.69/119.02 inference(avatar_split_clause,[],[f6972,f2587,f1113,f711,f6996,f6992])). 119.69/119.02 tff(f6992,plain,( 119.69/119.02 spl8_762 <=> ! [X63 : uni,X62 : ty,X64 : uni] : nth1(X62,$sum($uminus($sum(sK0,1)),-1),X63) = nth1(X62,$uminus($sum(sK0,1)),cons(X62,X64,X63))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_762])])). 119.69/119.02 tff(f2587,plain,( 119.69/119.02 spl8_366 <=> $less($uminus($sum(sK0,1)),-1)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_366])])). 119.69/119.02 tff(f6972,plain,( 119.69/119.02 ( ! [X70:uni,X68:ty,X66:uni,X69:uni,X67:uni,X65:ty] : (nth1(X65,-2,X66) = nth1(X65,-1,cons(X65,X67,X66)) | nth1(X68,$sum($uminus($sum(sK0,1)),-1),X69) = nth1(X68,$uminus($sum(sK0,1)),cons(X68,X70,X69))) ) | (~spl8_55 | ~spl8_158 | ~spl8_366)), 119.69/119.02 inference(evaluation,[],[f6875])). 119.69/119.02 tff(f6875,plain,( 119.69/119.02 ( ! [X70:uni,X68:ty,X66:uni,X69:uni,X67:uni,X65:ty] : (nth1(X65,$sum(-1,-1),X66) = nth1(X65,-1,cons(X65,X67,X66)) | nth1(X68,$sum($uminus($sum(sK0,1)),-1),X69) = nth1(X68,$uminus($sum(sK0,1)),cons(X68,X70,X69))) ) | (~spl8_55 | ~spl8_158 | ~spl8_366)), 119.69/119.02 inference(resolution,[],[f6151,f2588])). 119.69/119.02 tff(f2588,plain,( 119.69/119.02 $less($uminus($sum(sK0,1)),-1) | ~spl8_366), 119.69/119.02 inference(avatar_component_clause,[],[f2587])). 119.69/119.02 tff(f6994,plain,( 119.69/119.02 spl8_762 | spl8_294 | spl8_55 | ~spl8_158 | ~spl8_250), 119.69/119.02 inference(avatar_split_clause,[],[f6973,f1678,f1113,f711,f1996,f6992])). 119.69/119.02 tff(f1678,plain,( 119.69/119.02 spl8_250 <=> $less($uminus($sum(sK0,1)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_250])])). 119.69/119.02 tff(f6973,plain,( 119.69/119.02 ( ! [X61:uni,X59:ty,X64:uni,X62:ty,X60:uni,X63:uni] : (nth1(X59,-1,X60) = nth1(X59,0,cons(X59,X61,X60)) | nth1(X62,$sum($uminus($sum(sK0,1)),-1),X63) = nth1(X62,$uminus($sum(sK0,1)),cons(X62,X64,X63))) ) | (~spl8_55 | ~spl8_158 | ~spl8_250)), 119.69/119.02 inference(evaluation,[],[f6874])). 119.69/119.02 tff(f6874,plain,( 119.69/119.02 ( ! [X61:uni,X59:ty,X64:uni,X62:ty,X60:uni,X63:uni] : (nth1(X59,$sum(0,-1),X60) = nth1(X59,0,cons(X59,X61,X60)) | nth1(X62,$sum($uminus($sum(sK0,1)),-1),X63) = nth1(X62,$uminus($sum(sK0,1)),cons(X62,X64,X63))) ) | (~spl8_55 | ~spl8_158 | ~spl8_250)), 119.69/119.02 inference(resolution,[],[f6151,f1679])). 119.69/119.02 tff(f1679,plain,( 119.69/119.02 $less($uminus($sum(sK0,1)),0) | ~spl8_250), 119.69/119.02 inference(avatar_component_clause,[],[f1678])). 119.69/119.02 tff(f6990,plain,( 119.69/119.02 spl8_760 | spl8_644 | spl8_55 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6986,f1113,f711,f5441,f6988])). 119.69/119.02 tff(f6988,plain,( 119.69/119.02 spl8_760 <=> ! [X22 : $int,X25 : list_int,X21 : ty,X23 : uni,X24 : uni] : (nth1(X21,$sum(X22,-1),X23) = nth1(X21,X22,cons(X21,X24,X23)) | ~no_zero1(X25) | ~$less(X22,length1(int,t2tb1(X25))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X22,t2tb1(X25))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_760])])). 119.69/119.02 tff(f6986,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X25:list_int,X22:$int,X20:uni,X18:ty] : (some(X18,X20) = nth1(X18,-1,X19) | nth1(X21,$sum(X22,-1),X23) = nth1(X21,X22,cons(X21,X24,X23)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X22,t2tb1(X25))) | ~$less(X22,length1(int,t2tb1(X25))) | ~no_zero1(X25)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f6978,f285])). 119.69/119.02 tff(f6978,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X25:list_int,X22:$int,X20:uni,X18:ty] : (nth1(X18,-1,X19) = nth1(X18,0,cons(X18,X20,X19)) | nth1(X21,$sum(X22,-1),X23) = nth1(X21,X22,cons(X21,X24,X23)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X22,t2tb1(X25))) | ~$less(X22,length1(int,t2tb1(X25))) | ~no_zero1(X25)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6868])). 119.69/119.02 tff(f6868,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:ty,X19:uni,X25:list_int,X22:$int,X20:uni,X18:ty] : (nth1(X18,$sum(0,-1),X19) = nth1(X18,0,cons(X18,X20,X19)) | nth1(X21,$sum(X22,-1),X23) = nth1(X21,X22,cons(X21,X24,X23)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X22,t2tb1(X25))) | ~$less(X22,length1(int,t2tb1(X25))) | ~no_zero1(X25)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f250])). 119.69/119.02 tff(f6985,plain,( 119.69/119.02 spl8_758 | spl8_644 | spl8_55 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6981,f1113,f711,f5441,f6983])). 119.69/119.02 tff(f6983,plain,( 119.69/119.02 spl8_758 <=> ! [X16 : list_int,X13 : $int,X15 : uni,X17 : $int,X12 : ty,X14 : uni] : (nth1(X12,$sum(X13,-1),X14) = nth1(X12,X13,cons(X12,X15,X14)) | ~zero_at1(X16,X17) | ~$less(X13,X17) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X16))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_758])])). 119.69/119.02 tff(f6981,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X17:$int,X15:uni,X13:$int,X11:uni,X9:ty,X16:list_int] : (some(X9,X11) = nth1(X9,-1,X10) | nth1(X12,$sum(X13,-1),X14) = nth1(X12,X13,cons(X12,X15,X14)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X16))) | ~$less(X13,X17) | ~zero_at1(X16,X17)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(forward_demodulation,[],[f6979,f285])). 119.69/119.02 tff(f6979,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X17:$int,X15:uni,X13:$int,X11:uni,X9:ty,X16:list_int] : (nth1(X9,-1,X10) = nth1(X9,0,cons(X9,X11,X10)) | nth1(X12,$sum(X13,-1),X14) = nth1(X12,X13,cons(X12,X15,X14)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X16))) | ~$less(X13,X17) | ~zero_at1(X16,X17)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6867])). 119.69/119.02 tff(f6867,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X17:$int,X15:uni,X13:$int,X11:uni,X9:ty,X16:list_int] : (nth1(X9,$sum(0,-1),X10) = nth1(X9,0,cons(X9,X11,X10)) | nth1(X12,$sum(X13,-1),X14) = nth1(X12,X13,cons(X12,X15,X14)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X16))) | ~$less(X13,X17) | ~zero_at1(X16,X17)) ) | (~spl8_55 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f6151,f269])). 119.69/119.02 tff(f6853,plain,( 119.69/119.02 spl8_658 | spl8_756 | ~spl8_124), 119.69/119.02 inference(avatar_split_clause,[],[f6838,f988,f6847,f5560])). 119.69/119.02 tff(f6847,plain,( 119.69/119.02 spl8_756 <=> ! [X1 : uni,X0 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum(sK3,$uminus(sK0))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_756])])). 119.69/119.02 tff(f988,plain,( 119.69/119.02 spl8_124 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | ~zero_at1(X0,$sum(sK3,$uminus(sK0))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_124])])). 119.69/119.02 tff(f6838,plain,( 119.69/119.02 ( ! [X8:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X9)) | ~zero_at1(tb2t1(cons(int,X8,X9)),$sum(sK3,$uminus(sK0))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_124), 119.69/119.02 inference(superposition,[],[f5847,f287])). 119.69/119.02 tff(f5847,plain,( 119.69/119.02 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0)) | ~zero_at1(tb2t1(X0),$sum(sK3,$uminus(sK0)))) ) | ~spl8_124), 119.69/119.02 inference(superposition,[],[f989,f234])). 119.69/119.02 tff(f989,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | ~zero_at1(X0,$sum(sK3,$uminus(sK0)))) ) | ~spl8_124), 119.69/119.02 inference(avatar_component_clause,[],[f988])). 119.69/119.02 tff(f6852,plain,( 119.69/119.02 spl8_656 | spl8_756 | ~spl8_124 | ~spl8_214), 119.69/119.02 inference(avatar_split_clause,[],[f6837,f1382,f988,f6847,f5556])). 119.69/119.02 tff(f5556,plain,( 119.69/119.02 spl8_656 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_656])])). 119.69/119.02 tff(f6837,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7)) | ~zero_at1(tb2t1(cons(int,X6,X7)),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_124 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f5847,f1734])). 119.69/119.02 tff(f6851,plain,( 119.69/119.02 spl8_654 | spl8_756 | ~spl8_100 | ~spl8_124), 119.69/119.02 inference(avatar_split_clause,[],[f6836,f988,f895,f6847,f5552])). 119.69/119.02 tff(f6836,plain,( 119.69/119.02 ( ! [X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_124)), 119.69/119.02 inference(superposition,[],[f5847,f1857])). 119.69/119.02 tff(f6850,plain,( 119.69/119.02 spl8_652 | spl8_756 | ~spl8_124 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f6835,f3189,f988,f6847,f5548])). 119.69/119.02 tff(f6835,plain,( 119.69/119.02 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X3)) | ~zero_at1(tb2t1(cons(int,X2,X3)),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))) ) | (~spl8_124 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f5847,f3190])). 119.69/119.02 tff(f6849,plain,( 119.69/119.02 spl8_648 | spl8_756 | ~spl8_124 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f6834,f1746,f988,f6847,f5541])). 119.69/119.02 tff(f5541,plain,( 119.69/119.02 spl8_648 <=> some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_648])])). 119.69/119.02 tff(f6834,plain,( 119.69/119.02 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum(sK3,$uminus(sK0))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) ) | (~spl8_124 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f5847,f2415])). 119.69/119.02 tff(f6780,plain,( 119.69/119.02 spl8_96 | ~spl8_755 | ~spl8_622), 119.69/119.02 inference(avatar_split_clause,[],[f6776,f5346,f6778,f1506])). 119.69/119.02 tff(f6778,plain,( 119.69/119.02 spl8_755 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_755])])). 119.69/119.02 tff(f5346,plain,( 119.69/119.02 spl8_622 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_622])])). 119.69/119.02 tff(f6776,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2)))) | no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_622), 119.69/119.02 inference(trivial_inequality_removal,[],[f6773])). 119.69/119.02 tff(f6773,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2)))) | no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_622), 119.69/119.02 inference(superposition,[],[f5347,f249])). 119.69/119.02 tff(f5347,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_622), 119.69/119.02 inference(avatar_component_clause,[],[f5346])). 119.69/119.02 tff(f6757,plain,( 119.69/119.02 ~spl8_747 | spl8_752 | spl8_741), 119.69/119.02 inference(avatar_split_clause,[],[f6742,f6602,f6755,f6744])). 119.69/119.02 tff(f6744,plain,( 119.69/119.02 spl8_747 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_747])])). 119.69/119.02 tff(f6755,plain,( 119.69/119.02 spl8_752 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,length1(int,t2tb1(sK2))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_752])])). 119.69/119.02 tff(f6602,plain,( 119.69/119.02 spl8_741 <=> ~zero_at1(sK2,length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_741])])). 119.69/119.02 tff(f6742,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,length1(int,t2tb1(sK2))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2))) | ~spl8_741), 119.69/119.02 inference(resolution,[],[f6603,f267])). 119.69/119.02 tff(f6603,plain,( 119.69/119.02 ~zero_at1(sK2,length1(int,t2tb1(sK2))) | ~spl8_741), 119.69/119.02 inference(avatar_component_clause,[],[f6602])). 119.69/119.02 tff(f6753,plain,( 119.69/119.02 ~spl8_747 | ~spl8_751 | spl8_741), 119.69/119.02 inference(avatar_split_clause,[],[f6741,f6602,f6751,f6744])). 119.69/119.02 tff(f6751,plain,( 119.69/119.02 spl8_751 <=> ~$less(sK7(sK2,length1(int,t2tb1(sK2))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_751])])). 119.69/119.02 tff(f6741,plain,( 119.69/119.02 ~$less(sK7(sK2,length1(int,t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2))) | ~spl8_741), 119.69/119.02 inference(resolution,[],[f6603,f266])). 119.69/119.02 tff(f6749,plain,( 119.69/119.02 ~spl8_747 | spl8_748 | spl8_741), 119.69/119.02 inference(avatar_split_clause,[],[f6740,f6602,f6747,f6744])). 119.69/119.02 tff(f6747,plain,( 119.69/119.02 spl8_748 <=> $less(sK7(sK2,length1(int,t2tb1(sK2))),length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_748])])). 119.69/119.02 tff(f6740,plain,( 119.69/119.02 $less(sK7(sK2,length1(int,t2tb1(sK2))),length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),t2tb1(sK2))) | ~spl8_741), 119.69/119.02 inference(resolution,[],[f6603,f265])). 119.69/119.02 tff(f6720,plain,( 119.69/119.02 spl8_128 | spl8_744 | ~spl8_12 | ~spl8_682), 119.69/119.02 inference(avatar_split_clause,[],[f6716,f5658,f751,f6718,f1006])). 119.69/119.02 tff(f6718,plain,( 119.69/119.02 spl8_744 <=> ! [X40 : uni,X41 : uni] : (cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),X41) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X41)) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(1,length1(int,X41))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_744])])). 119.69/119.02 tff(f6716,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),X41) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(1,length1(int,X41))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X41)) | $less($sum(sK3,$uminus($sum(sK0,1))),0)) ) | (~spl8_12 | ~spl8_682)), 119.69/119.02 inference(forward_demodulation,[],[f6715,f273])). 119.69/119.02 tff(f6715,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(1,length1(int,X41))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X41)) | cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),cons_proj_21(int,cons(int,X40,X41))) | $less($sum(sK3,$uminus($sum(sK0,1))),0)) ) | (~spl8_12 | ~spl8_682)), 119.69/119.02 inference(forward_demodulation,[],[f6712,f244])). 119.69/119.02 tff(f6712,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X41)) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,cons(int,X40,X41))) | cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),cons_proj_21(int,cons(int,X40,X41))) | $less($sum(sK3,$uminus($sum(sK0,1))),0)) ) | (~spl8_12 | ~spl8_682)), 119.69/119.02 inference(superposition,[],[f2241,f5659])). 119.69/119.02 tff(f6638,plain,( 119.69/119.02 ~spl8_145 | spl8_742 | ~spl8_122 | ~spl8_144 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6620,f1113,f1061,f967,f6636,f5433])). 119.69/119.02 tff(f6620,plain,( 119.69/119.02 ( ! [X43:uni,X41:ty,X42:uni] : (nth1(X41,length1(int,t2tb1(sK2)),X42) = nth1(X41,$sum(1,length1(int,t2tb1(sK2))),cons(X41,X43,X42)) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)) ) | (~spl8_122 | ~spl8_144 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6616])). 119.69/119.02 tff(f6616,plain,( 119.69/119.02 ( ! [X43:uni,X41:ty,X42:uni] : (nth1(X41,$sum($sum(1,length1(int,t2tb1(sK2))),-1),X42) = nth1(X41,$sum(1,length1(int,t2tb1(sK2))),cons(X41,X43,X42)) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0)) ) | (~spl8_122 | ~spl8_144 | ~spl8_158)), 119.69/119.02 inference(resolution,[],[f1484,f6166])). 119.69/119.02 tff(f6166,plain,( 119.69/119.02 ( ! [X0:list_int] : (~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2)))) | ~zero_at1(X0,0)) ) | (~spl8_122 | ~spl8_158)), 119.69/119.02 inference(trivial_inequality_removal,[],[f6165])). 119.69/119.02 tff(f6165,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2)))) | ~zero_at1(X0,0)) ) | (~spl8_122 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f5966,f268])). 119.69/119.02 tff(f1484,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_144), 119.69/119.02 inference(superposition,[],[f1062,f287])). 119.69/119.02 tff(f1062,plain,( 119.69/119.02 zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_144), 119.69/119.02 inference(avatar_component_clause,[],[f1061])). 119.69/119.02 tff(f6605,plain,( 119.69/119.02 spl8_26 | ~spl8_741 | ~spl8_326), 119.69/119.02 inference(avatar_split_clause,[],[f6594,f2287,f6602,f367])). 119.69/119.02 tff(f2287,plain,( 119.69/119.02 spl8_326 <=> ! [X0 : $int] : (~$less(sK6(sK2),X0) | ~zero_at1(sK2,X0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_326])])). 119.69/119.02 tff(f6594,plain,( 119.69/119.02 ~zero_at1(sK2,length1(int,t2tb1(sK2))) | no_zero1(sK2) | ~spl8_326), 119.69/119.02 inference(resolution,[],[f2288,f247])). 119.69/119.02 tff(f247,plain,( 119.69/119.02 ( ! [X0:list_int] : (no_zero1(X0) | $less(sK6(X0),length1(int,t2tb1(X0)))) )), 119.69/119.02 inference(cnf_transformation,[],[f121])). 119.69/119.02 tff(f2288,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less(sK6(sK2),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_326), 119.69/119.02 inference(avatar_component_clause,[],[f2287])). 119.69/119.02 tff(f6604,plain,( 119.69/119.02 ~spl8_741 | ~spl8_148 | ~spl8_326), 119.69/119.02 inference(avatar_split_clause,[],[f6593,f2287,f1080,f6602])). 119.69/119.02 tff(f6593,plain,( 119.69/119.02 ~zero_at1(sK2,length1(int,t2tb1(sK2))) | (~spl8_148 | ~spl8_326)), 119.69/119.02 inference(resolution,[],[f2288,f1081])). 119.69/119.02 tff(f6589,plain,( 119.69/119.02 ~spl8_739 | ~spl8_122 | ~spl8_158 | ~spl8_716), 119.69/119.02 inference(avatar_split_clause,[],[f6585,f6197,f1113,f967,f6587])). 119.69/119.02 tff(f6587,plain,( 119.69/119.02 spl8_739 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_739])])). 119.69/119.02 tff(f6197,plain,( 119.69/119.02 spl8_716 <=> some(int,t2tb2(0)) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_716])])). 119.69/119.02 tff(f6585,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2)))) | (~spl8_122 | ~spl8_158 | ~spl8_716)), 119.69/119.02 inference(trivial_inequality_removal,[],[f6572])). 119.69/119.02 tff(f6572,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(1,length1(int,t2tb1(sK2)))) | (~spl8_122 | ~spl8_158 | ~spl8_716)), 119.69/119.02 inference(superposition,[],[f6164,f6198])). 119.69/119.02 tff(f6198,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_716), 119.69/119.02 inference(avatar_component_clause,[],[f6197])). 119.69/119.02 tff(f6164,plain,( 119.69/119.02 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,X0)) | ~zero_at1(tb2t1(X0),$sum(1,length1(int,t2tb1(sK2))))) ) | (~spl8_122 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f5966,f234])). 119.69/119.02 tff(f6567,plain,( 119.69/119.02 spl8_514 | spl8_516 | ~spl8_12 | ~spl8_62 | spl8_67), 119.69/119.02 inference(avatar_split_clause,[],[f6566,f767,f759,f751,f4618,f4615])). 119.69/119.02 tff(f4615,plain,( 119.69/119.02 spl8_514 <=> $less($sum(sK3,$uminus(sK0)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_514])])). 119.69/119.02 tff(f4618,plain,( 119.69/119.02 spl8_516 <=> ! [X16 : uni,X17 : uni] : (cons(int,X16,X17) = cons(int,cons_proj_11(int,cons(int,X16,X17)),X17) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X17)) | ~$less($sum(sK3,$uminus(sK0)),$sum(1,length1(int,X17))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_516])])). 119.69/119.02 tff(f6566,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),X41) | ~$less($sum(sK3,$uminus(sK0)),$sum(1,length1(int,X41))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X41)) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_67)), 119.69/119.02 inference(forward_demodulation,[],[f6565,f273])). 119.69/119.02 tff(f6565,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (~$less($sum(sK3,$uminus(sK0)),$sum(1,length1(int,X41))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X41)) | cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),cons_proj_21(int,cons(int,X40,X41))) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_67)), 119.69/119.02 inference(forward_demodulation,[],[f6562,f244])). 119.69/119.02 tff(f6562,plain,( 119.69/119.02 ( ! [X41:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X41)) | ~$less($sum(sK3,$uminus(sK0)),length1(int,cons(int,X40,X41))) | cons(int,X40,X41) = cons(int,cons_proj_11(int,cons(int,X40,X41)),cons_proj_21(int,cons(int,X40,X41))) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_67)), 119.69/119.02 inference(superposition,[],[f2241,f5835])). 119.69/119.02 tff(f6368,plain,( 119.69/119.02 spl8_736 | ~spl8_258), 119.69/119.02 inference(avatar_split_clause,[],[f6364,f6051,f6366])). 119.69/119.02 tff(f6366,plain,( 119.69/119.02 spl8_736 <=> some(int,t2tb2(0)) = nth1(int,-1,t2tb1(sK2))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_736])])). 119.69/119.02 tff(f6364,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,-1,t2tb1(sK2)) | ~spl8_258), 119.69/119.02 inference(forward_demodulation,[],[f6346,f238])). 119.69/119.02 tff(f6346,plain,( 119.69/119.02 nth1(int,-1,t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_258), 119.69/119.02 inference(superposition,[],[f238,f6052])). 119.69/119.02 tff(f6331,plain,( 119.69/119.02 ~spl8_729 | spl8_734 | spl8_685), 119.69/119.02 inference(avatar_split_clause,[],[f6314,f5661,f6329,f6318])). 119.69/119.02 tff(f6318,plain,( 119.69/119.02 spl8_729 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_729])])). 119.69/119.02 tff(f6329,plain,( 119.69/119.02 spl8_734 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_734])])). 119.69/119.02 tff(f5661,plain,( 119.69/119.02 spl8_685 <=> ~zero_at1(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_685])])). 119.69/119.02 tff(f6314,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_685), 119.69/119.02 inference(resolution,[],[f5662,f267])). 119.69/119.02 tff(f5662,plain,( 119.69/119.02 ~zero_at1(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))) | ~spl8_685), 119.69/119.02 inference(avatar_component_clause,[],[f5661])). 119.69/119.02 tff(f6327,plain,( 119.69/119.02 ~spl8_729 | ~spl8_733 | spl8_685), 119.69/119.02 inference(avatar_split_clause,[],[f6313,f5661,f6325,f6318])). 119.69/119.02 tff(f6325,plain,( 119.69/119.02 spl8_733 <=> ~$less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_733])])). 119.69/119.02 tff(f6313,plain,( 119.69/119.02 ~$less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_685), 119.69/119.02 inference(resolution,[],[f5662,f266])). 119.69/119.02 tff(f6323,plain,( 119.69/119.02 ~spl8_729 | spl8_730 | spl8_685), 119.69/119.02 inference(avatar_split_clause,[],[f6312,f5661,f6321,f6318])). 119.69/119.02 tff(f6312,plain,( 119.69/119.02 $less(sK7(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))),sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_685), 119.69/119.02 inference(resolution,[],[f5662,f265])). 119.69/119.02 tff(f6311,plain,( 119.69/119.02 spl8_260 | ~spl8_158 | ~spl8_618), 119.69/119.02 inference(avatar_split_clause,[],[f6304,f5330,f1113,f6309])). 119.69/119.02 tff(f6309,plain,( 119.69/119.02 spl8_260 <=> zero_at1(sK2,-1)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_260])])). 119.69/119.02 tff(f6304,plain,( 119.69/119.02 zero_at1(sK2,-1) | (~spl8_158 | ~spl8_618)), 119.69/119.02 inference(evaluation,[],[f6303])). 119.69/119.02 tff(f6303,plain,( 119.69/119.02 zero_at1(sK2,$sum(0,-1)) | (~spl8_158 | ~spl8_618)), 119.69/119.02 inference(superposition,[],[f5331,f1114])). 119.69/119.02 tff(f6288,plain,( 119.69/119.02 spl8_726 | ~spl8_146), 119.69/119.02 inference(avatar_split_clause,[],[f6284,f5963,f6286])). 119.69/119.02 tff(f6284,plain,( 119.69/119.02 some(int,t2tb2(0)) = some(int,t2tb2(sK1)) | ~spl8_146), 119.69/119.02 inference(forward_demodulation,[],[f6279,f238])). 119.69/119.02 tff(f6279,plain,( 119.69/119.02 some(int,t2tb2(sK1)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_146), 119.69/119.02 inference(superposition,[],[f238,f5964])). 119.69/119.02 tff(f6260,plain,( 119.69/119.02 ~spl8_641 | spl8_724 | spl8_699), 119.69/119.02 inference(avatar_split_clause,[],[f6245,f5715,f6258,f6247])). 119.69/119.02 tff(f6247,plain,( 119.69/119.02 spl8_641 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_641])])). 119.69/119.02 tff(f6258,plain,( 119.69/119.02 spl8_724 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_724])])). 119.69/119.02 tff(f5715,plain,( 119.69/119.02 spl8_699 <=> ~zero_at1(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_699])])). 119.69/119.02 tff(f6245,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_699), 119.69/119.02 inference(resolution,[],[f5716,f267])). 119.69/119.02 tff(f5716,plain,( 119.69/119.02 ~zero_at1(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))) | ~spl8_699), 119.69/119.02 inference(avatar_component_clause,[],[f5715])). 119.69/119.02 tff(f6256,plain,( 119.69/119.02 ~spl8_641 | ~spl8_723 | spl8_699), 119.69/119.02 inference(avatar_split_clause,[],[f6244,f5715,f6254,f6247])). 119.69/119.02 tff(f6254,plain,( 119.69/119.02 spl8_723 <=> ~$less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_723])])). 119.69/119.02 tff(f6244,plain,( 119.69/119.02 ~$less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_699), 119.69/119.02 inference(resolution,[],[f5716,f266])). 119.69/119.02 tff(f6252,plain,( 119.69/119.02 ~spl8_641 | spl8_720 | spl8_699), 119.69/119.02 inference(avatar_split_clause,[],[f6243,f5715,f6250,f6247])). 119.69/119.02 tff(f6243,plain,( 119.69/119.02 $less(sK7(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))),sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_699), 119.69/119.02 inference(resolution,[],[f5716,f265])). 119.69/119.02 tff(f6216,plain,( 119.69/119.02 spl8_150 | spl8_718 | ~spl8_148), 119.69/119.02 inference(avatar_split_clause,[],[f6212,f1080,f6214,f2271])). 119.69/119.02 tff(f6214,plain,( 119.69/119.02 spl8_718 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),t2tb1(X0))) | ~zero_at1(X0,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_718])])). 119.69/119.02 tff(f6212,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),t2tb1(X0))) | $less(sK6(sK2),0) | ~zero_at1(X0,length1(int,t2tb1(sK2)))) ) | ~spl8_148), 119.69/119.02 inference(resolution,[],[f1081,f269])). 119.69/119.02 tff(f6199,plain,( 119.69/119.02 spl8_716 | ~spl8_158 | ~spl8_162), 119.69/119.02 inference(avatar_split_clause,[],[f6172,f1121,f1113,f6197])). 119.69/119.02 tff(f6172,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2))) | (~spl8_158 | ~spl8_162)), 119.69/119.02 inference(superposition,[],[f1122,f1114])). 119.69/119.02 tff(f6083,plain,( 119.69/119.02 spl8_109 | ~spl8_154), 119.69/119.02 inference(avatar_contradiction_clause,[],[f6082])). 119.69/119.02 tff(f6082,plain,( 119.69/119.02 $false | (~spl8_109 | ~spl8_154)), 119.69/119.02 inference(trivial_inequality_removal,[],[f6081])). 119.69/119.02 tff(f6081,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | (~spl8_109 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f6080,f285])). 119.69/119.02 tff(f6080,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_109 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f921,f1102])). 119.69/119.02 tff(f921,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_109), 119.69/119.02 inference(avatar_component_clause,[],[f920])). 119.69/119.02 tff(f920,plain,( 119.69/119.02 spl8_109 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_109])])). 119.69/119.02 tff(f6079,plain,( 119.69/119.02 ~spl8_279 | spl8_274 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f2489,f1831,f1801,f1810])). 119.69/119.02 tff(f1801,plain,( 119.69/119.02 spl8_274 <=> zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_274])])). 119.69/119.02 tff(f1831,plain,( 119.69/119.02 spl8_284 <=> some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_284])])). 119.69/119.02 tff(f2489,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | ~spl8_284), 119.69/119.02 inference(trivial_inequality_removal,[],[f2479])). 119.69/119.02 tff(f2479,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | ~spl8_284), 119.69/119.02 inference(superposition,[],[f266,f1832])). 119.69/119.02 tff(f1832,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2)) | ~spl8_284), 119.69/119.02 inference(avatar_component_clause,[],[f1831])). 119.69/119.02 tff(f6078,plain,( 119.69/119.02 spl8_280 | spl8_274 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f2488,f1831,f1801,f1816])). 119.69/119.02 tff(f1816,plain,( 119.69/119.02 spl8_280 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_280])])). 119.69/119.02 tff(f2488,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_284), 119.69/119.02 inference(trivial_inequality_removal,[],[f2480])). 119.69/119.02 tff(f2480,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_284), 119.69/119.02 inference(superposition,[],[f267,f1832])). 119.69/119.02 tff(f6077,plain,( 119.69/119.02 spl8_274 | ~spl8_278 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f6076,f1831,f2701,f1801])). 119.69/119.02 tff(f6076,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_278 | ~spl8_284)), 119.69/119.02 inference(trivial_inequality_removal,[],[f6075])). 119.69/119.02 tff(f6075,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_278 | ~spl8_284)), 119.69/119.02 inference(forward_demodulation,[],[f3830,f1832])). 119.69/119.02 tff(f3830,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2))) | ~spl8_278), 119.69/119.02 inference(resolution,[],[f2702,f266])). 119.69/119.02 tff(f6066,plain,( 119.69/119.02 spl8_22 | spl8_508 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6065,f1113,f6055,f5336])). 119.69/119.02 tff(f6065,plain,( 119.69/119.02 $less(-1,length1(int,t2tb1(sK2))) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_158), 119.69/119.02 inference(evaluation,[],[f6064])). 119.69/119.02 tff(f6064,plain,( 119.69/119.02 $less(0,$sum(1,length1(int,t2tb1(sK2)))) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_158), 119.69/119.02 inference(forward_demodulation,[],[f6063,f244])). 119.69/119.02 tff(f6063,plain,( 119.69/119.02 $less(0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_158), 119.69/119.02 inference(forward_demodulation,[],[f6033,f234])). 119.69/119.02 tff(f6033,plain,( 119.69/119.02 $less(0,length1(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_158), 119.69/119.02 inference(superposition,[],[f247,f1114])). 119.69/119.02 tff(f6057,plain,( 119.69/119.02 spl8_508 | ~spl8_52 | ~spl8_158), 119.69/119.02 inference(avatar_split_clause,[],[f6048,f1113,f707,f6055])). 119.69/119.02 tff(f707,plain,( 119.69/119.02 spl8_52 <=> $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_52])])). 119.69/119.02 tff(f6048,plain,( 119.69/119.02 $less(-1,length1(int,t2tb1(sK2))) | (~spl8_52 | ~spl8_158)), 119.69/119.02 inference(evaluation,[],[f6020])). 119.69/119.02 tff(f6020,plain,( 119.69/119.02 $less(0,$sum(1,length1(int,t2tb1(sK2)))) | (~spl8_52 | ~spl8_158)), 119.69/119.02 inference(superposition,[],[f708,f1114])). 119.69/119.02 tff(f708,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_52), 119.69/119.02 inference(avatar_component_clause,[],[f707])). 119.69/119.02 tff(f6053,plain,( 119.69/119.02 spl8_258 | ~spl8_158 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f6049,f1116,f1113,f6051])). 119.69/119.02 tff(f6049,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,-1,t2tb1(sK2))) | (~spl8_158 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f6019])). 119.69/119.02 tff(f6019,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(0,-1),t2tb1(sK2))) | (~spl8_158 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f1117,f1114])). 119.69/119.02 tff(f5965,plain,( 119.69/119.02 spl8_146 | ~spl8_144), 119.69/119.02 inference(avatar_split_clause,[],[f1488,f1061,f5963])). 119.69/119.02 tff(f1488,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK1))) | ~spl8_144), 119.69/119.02 inference(forward_demodulation,[],[f1487,f285])). 119.69/119.02 tff(f1487,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_144), 119.69/119.02 inference(forward_demodulation,[],[f1481,f234])). 119.69/119.02 tff(f1481,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_144), 119.69/119.02 inference(resolution,[],[f1062,f268])). 119.69/119.02 tff(f5951,plain,( 119.69/119.02 spl8_282 | spl8_270 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f2487,f1831,f1792,f1822])). 119.69/119.02 tff(f1822,plain,( 119.69/119.02 spl8_282 <=> ! [X0 : $int] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_282])])). 119.69/119.02 tff(f2487,plain,( 119.69/119.02 ( ! [X0:$int] : ($less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_284), 119.69/119.02 inference(evaluation,[],[f2486])). 119.69/119.02 tff(f2486,plain,( 119.69/119.02 ( ! [X0:$int] : ($less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_284), 119.69/119.02 inference(trivial_inequality_removal,[],[f2481])). 119.69/119.02 tff(f2481,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_284), 119.69/119.02 inference(superposition,[],[f269,f1832])). 119.69/119.02 tff(f5950,plain,( 119.69/119.02 ~spl8_715 | spl8_270 | ~spl8_274 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f4464,f1831,f1801,f1792,f5948])). 119.69/119.02 tff(f5948,plain,( 119.69/119.02 spl8_715 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_715])])). 119.69/119.02 tff(f4464,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_274 | ~spl8_284)), 119.69/119.02 inference(evaluation,[],[f4463])). 119.69/119.02 tff(f4463,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_274 | ~spl8_284)), 119.69/119.02 inference(trivial_inequality_removal,[],[f4444])). 119.69/119.02 tff(f4444,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_274 | ~spl8_284)), 119.69/119.02 inference(superposition,[],[f2236,f1832])). 119.69/119.02 tff(f2236,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))) | $less(X0,0) | ~$less(X0,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))) ) | ~spl8_274), 119.69/119.02 inference(resolution,[],[f1802,f269])). 119.69/119.02 tff(f1802,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~spl8_274), 119.69/119.02 inference(avatar_component_clause,[],[f1801])). 119.69/119.02 tff(f5946,plain,( 119.69/119.02 ~spl8_713 | spl8_270 | ~spl8_34 | ~spl8_284), 119.69/119.02 inference(avatar_split_clause,[],[f5510,f1831,f403,f1792,f5944])). 119.69/119.02 tff(f5944,plain,( 119.69/119.02 spl8_713 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_713])])). 119.69/119.02 tff(f5510,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_284)), 119.69/119.02 inference(evaluation,[],[f5509])). 119.69/119.02 tff(f5509,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_284)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5490])). 119.69/119.02 tff(f5490,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_284)), 119.69/119.02 inference(superposition,[],[f901,f1832])). 119.69/119.02 tff(f5932,plain,( 119.69/119.02 spl8_204 | ~spl8_106 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5928,f1101,f917,f5930])). 119.69/119.02 tff(f917,plain,( 119.69/119.02 spl8_106 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_106])])). 119.69/119.02 tff(f5928,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0) | (~spl8_106 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f918,f1102])). 119.69/119.02 tff(f918,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_106), 119.69/119.02 inference(avatar_component_clause,[],[f917])). 119.69/119.02 tff(f5920,plain,( 119.69/119.02 spl8_4 | spl8_706 | ~spl8_65 | spl8_67), 119.69/119.02 inference(avatar_split_clause,[],[f5874,f767,f762,f5880,f5877])). 119.69/119.02 tff(f5877,plain,( 119.69/119.02 spl8_4 <=> zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])). 119.69/119.02 tff(f762,plain,( 119.69/119.02 spl8_65 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_65])])). 119.69/119.02 tff(f5874,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f5873,f234])). 119.69/119.02 tff(f5873,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_67), 119.69/119.02 inference(trivial_inequality_removal,[],[f5870])). 119.69/119.02 tff(f5870,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))))) ) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f1092,f267])). 119.69/119.02 tff(f5919,plain,( 119.69/119.02 spl8_4 | ~spl8_23 | ~spl8_669 | ~spl8_65 | spl8_67), 119.69/119.02 inference(avatar_split_clause,[],[f5916,f767,f762,f5587,f354,f5877])). 119.69/119.02 tff(f5587,plain,( 119.69/119.02 spl8_669 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_669])])). 119.69/119.02 tff(f5916,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f5915,f234])). 119.69/119.02 tff(f5915,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f5914,f244])). 119.69/119.02 tff(f5914,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_67), 119.69/119.02 inference(forward_demodulation,[],[f5912,f234])). 119.69/119.02 tff(f5912,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_67), 119.69/119.02 inference(trivial_inequality_removal,[],[f5909])). 119.69/119.02 tff(f5909,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_67), 119.69/119.02 inference(superposition,[],[f1093,f267])). 119.69/119.02 tff(f5918,plain,( 119.69/119.02 spl8_4 | ~spl8_23 | ~spl8_669 | ~spl8_137 | spl8_67 | ~spl8_118 | spl8_205), 119.69/119.02 inference(avatar_split_clause,[],[f5917,f1299,f1586,f767,f1027,f5587,f354,f5877])). 119.69/119.02 tff(f1299,plain,( 119.69/119.02 spl8_205 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_205])])). 119.69/119.02 tff(f5917,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | (~spl8_67 | ~spl8_118 | ~spl8_205)), 119.69/119.02 inference(forward_demodulation,[],[f5916,f4484])). 119.69/119.02 tff(f4484,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum($sum(sK3,$uminus(sK0)),-1),X1) = nth1(X0,$sum(sK3,$uminus(sK0)),cons(X0,X2,X1))) ) | (~spl8_118 | ~spl8_205)), 119.69/119.02 inference(condensation,[],[f4479])). 119.69/119.02 tff(f4479,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X10:uni,X13:uni,X11:uni,X9:ty] : (nth1(X9,$sum($sum(sK3,$uminus(sK0)),-1),X10) = nth1(X9,$sum(sK3,$uminus(sK0)),cons(X9,X11,X10)) | nth1(X12,$sum($sum(sK3,$uminus(sK0)),-1),X13) = nth1(X12,$sum(sK3,$uminus(sK0)),cons(X12,X14,X13))) ) | (~spl8_118 | ~spl8_205)), 119.69/119.02 inference(resolution,[],[f2319,f1556])). 119.69/119.02 tff(f1556,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_205), 119.69/119.02 inference(superposition,[],[f1300,f287])). 119.69/119.02 tff(f1300,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0) | ~spl8_205), 119.69/119.02 inference(avatar_component_clause,[],[f1299])). 119.69/119.02 tff(f2319,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK7(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_118), 119.69/119.02 inference(superposition,[],[f1587,f287])). 119.69/119.02 tff(f5907,plain,( 119.69/119.02 ~spl8_661 | spl8_662 | ~spl8_68 | spl8_145), 119.69/119.02 inference(avatar_split_clause,[],[f5895,f5433,f773,f5568,f5565])). 119.69/119.02 tff(f5906,plain,( 119.69/119.02 ~spl8_709 | spl8_710 | spl8_145 | ~spl8_182), 119.69/119.02 inference(avatar_split_clause,[],[f5896,f1196,f5433,f5904,f5901])). 119.69/119.02 tff(f5901,plain,( 119.69/119.02 spl8_709 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(nil(int)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_709])])). 119.69/119.02 tff(f5896,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(nil(int)))),0)) ) | (~spl8_145 | ~spl8_182)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5891])). 119.69/119.02 tff(f5891,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),X1) = nth1(X0,sK6(tb2t1(nil(int))),cons(X0,X2,X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK6(tb2t1(nil(int)))),0)) ) | (~spl8_145 | ~spl8_182)), 119.69/119.02 inference(superposition,[],[f5520,f1197])). 119.69/119.02 tff(f5899,plain,( 119.69/119.02 ~spl8_661 | spl8_662 | spl8_145 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5898,f5594,f5433,f5568,f5565])). 119.69/119.02 tff(f5882,plain,( 119.69/119.02 spl8_4 | spl8_706 | ~spl8_137 | spl8_67 | ~spl8_118 | spl8_205), 119.69/119.02 inference(avatar_split_clause,[],[f5875,f1299,f1586,f767,f1027,f5880,f5877])). 119.69/119.02 tff(f5875,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),X0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_67 | ~spl8_118 | ~spl8_205)), 119.69/119.02 inference(forward_demodulation,[],[f5874,f4484])). 119.69/119.02 tff(f5826,plain,( 119.69/119.02 spl8_658 | spl8_704 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5801,f5594,f5815,f5560])). 119.69/119.02 tff(f5801,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_670), 119.69/119.02 inference(superposition,[],[f287,f5595])). 119.69/119.02 tff(f5825,plain,( 119.69/119.02 spl8_656 | spl8_704 | ~spl8_214 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5800,f5594,f1382,f5815,f5556])). 119.69/119.02 tff(f5800,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_214 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f1734,f5595])). 119.69/119.02 tff(f5824,plain,( 119.69/119.02 spl8_654 | spl8_704 | ~spl8_100 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5799,f5594,f895,f5815,f5552])). 119.69/119.02 tff(f5799,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f1857,f5595])). 119.69/119.02 tff(f5823,plain,( 119.69/119.02 spl8_652 | spl8_704 | ~spl8_414 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5798,f5594,f3189,f5815,f5548])). 119.69/119.02 tff(f5798,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_414 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f3190,f5595])). 119.69/119.02 tff(f5822,plain,( 119.69/119.02 spl8_648 | spl8_704 | ~spl8_266 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5797,f5594,f1746,f5815,f5541])). 119.69/119.02 tff(f5797,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f2415,f5595])). 119.69/119.02 tff(f5821,plain,( 119.69/119.02 spl8_658 | spl8_704 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5796,f5594,f5815,f5560])). 119.69/119.02 tff(f5796,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_670), 119.69/119.02 inference(superposition,[],[f5595,f287])). 119.69/119.02 tff(f5820,plain,( 119.69/119.02 spl8_656 | spl8_704 | ~spl8_214 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5795,f5594,f1382,f5815,f5556])). 119.69/119.02 tff(f5795,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_214 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f5595,f1734])). 119.69/119.02 tff(f5819,plain,( 119.69/119.02 spl8_654 | spl8_704 | ~spl8_100 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5794,f5594,f895,f5815,f5552])). 119.69/119.02 tff(f5794,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f5595,f1857])). 119.69/119.02 tff(f5818,plain,( 119.69/119.02 spl8_652 | spl8_704 | ~spl8_414 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5793,f5594,f3189,f5815,f5548])). 119.69/119.02 tff(f5793,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_414 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f5595,f3190])). 119.69/119.02 tff(f5817,plain,( 119.69/119.02 spl8_648 | spl8_704 | ~spl8_266 | ~spl8_670), 119.69/119.02 inference(avatar_split_clause,[],[f5792,f5594,f1746,f5815,f5541])). 119.69/119.02 tff(f5792,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_670)), 119.69/119.02 inference(superposition,[],[f5595,f2415])). 119.69/119.02 tff(f5756,plain,( 119.69/119.02 spl8_702 | ~spl8_182), 119.69/119.02 inference(avatar_split_clause,[],[f5752,f1196,f5754])). 119.69/119.02 tff(f5754,plain,( 119.69/119.02 spl8_702 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_702])])). 119.69/119.02 tff(f5752,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_182), 119.69/119.02 inference(forward_demodulation,[],[f5743,f238])). 119.69/119.02 tff(f5743,plain,( 119.69/119.02 nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_182), 119.69/119.02 inference(superposition,[],[f238,f1197])). 119.69/119.02 tff(f5724,plain,( 119.69/119.02 spl8_638 | spl8_700 | ~spl8_636), 119.69/119.02 inference(avatar_split_clause,[],[f5713,f5390,f5722,f5718])). 119.69/119.02 tff(f5722,plain,( 119.69/119.02 spl8_700 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(X0))) | ~zero_at1(X0,$sum(sK3,$uminus($sum(sK0,1)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_700])])). 119.69/119.02 tff(f5390,plain,( 119.69/119.02 spl8_636 <=> $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_636])])). 119.69/119.02 tff(f5713,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(X0))) | $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~zero_at1(X0,$sum(sK3,$uminus($sum(sK0,1))))) ) | ~spl8_636), 119.69/119.02 inference(resolution,[],[f5391,f269])). 119.69/119.02 tff(f5391,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),$sum(sK3,$uminus($sum(sK0,1)))) | ~spl8_636), 119.69/119.02 inference(avatar_component_clause,[],[f5390])). 119.69/119.02 tff(f5720,plain,( 119.69/119.02 ~spl8_699 | spl8_638 | ~spl8_34 | ~spl8_636), 119.69/119.02 inference(avatar_split_clause,[],[f5712,f5390,f403,f5718,f5715])). 119.69/119.02 tff(f5712,plain,( 119.69/119.02 $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~zero_at1(sK2,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1))))) | (~spl8_34 | ~spl8_636)), 119.69/119.02 inference(resolution,[],[f5391,f5506])). 119.69/119.02 tff(f5506,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less(X0,$sum(sK3,$uminus($sum(sK0,1)))) | $less(X0,0) | ~zero_at1(sK2,X0)) ) | ~spl8_34), 119.69/119.02 inference(trivial_inequality_removal,[],[f5492])). 119.69/119.02 tff(f5492,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(X0,0) | ~$less(X0,$sum(sK3,$uminus($sum(sK0,1)))) | ~zero_at1(sK2,X0)) ) | ~spl8_34), 119.69/119.02 inference(superposition,[],[f901,f268])). 119.69/119.02 tff(f5711,plain,( 119.69/119.02 ~spl8_697 | spl8_128 | ~spl8_132 | ~spl8_274), 119.69/119.02 inference(avatar_split_clause,[],[f5702,f1801,f1018,f1006,f5709])). 119.69/119.02 tff(f5702,plain,( 119.69/119.02 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_132 | ~spl8_274)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5679])). 119.69/119.02 tff(f5679,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_132 | ~spl8_274)), 119.69/119.02 inference(superposition,[],[f2236,f1019])). 119.69/119.02 tff(f5707,plain,( 119.69/119.02 ~spl8_695 | spl8_128 | ~spl8_34 | ~spl8_132), 119.69/119.02 inference(avatar_split_clause,[],[f5703,f1018,f403,f1006,f5705])). 119.69/119.02 tff(f5705,plain,( 119.69/119.02 spl8_695 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_695])])). 119.69/119.02 tff(f5703,plain,( 119.69/119.02 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_132)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5678])). 119.69/119.02 tff(f5678,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),$sum(sK3,$uminus($sum(sK0,1)))) | (~spl8_34 | ~spl8_132)), 119.69/119.02 inference(superposition,[],[f901,f1019])). 119.69/119.02 tff(f5677,plain,( 119.69/119.02 spl8_682 | spl8_692 | ~spl8_34 | ~spl8_186), 119.69/119.02 inference(avatar_split_clause,[],[f5656,f2831,f403,f5675,f5658])). 119.69/119.02 tff(f5675,plain,( 119.69/119.02 spl8_692 <=> ! [X23 : uni] : ($less(sK7(tb2t1(X23),$sum(sK3,$uminus($sum(sK0,1)))),0) | cons(int,cons_proj_11(int,X23),cons_proj_21(int,X23)) = X23 | ~zero_at1(sK2,sK7(tb2t1(X23),$sum(sK3,$uminus($sum(sK0,1))))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_692])])). 119.69/119.02 tff(f5656,plain,( 119.69/119.02 ( ! [X26:uni,X24:ty,X23:uni,X25:uni] : ($less(sK7(tb2t1(X23),$sum(sK3,$uminus($sum(sK0,1)))),0) | ~zero_at1(sK2,sK7(tb2t1(X23),$sum(sK3,$uminus($sum(sK0,1))))) | cons(int,cons_proj_11(int,X23),cons_proj_21(int,X23)) = X23 | nth1(X24,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X25) = nth1(X24,$sum(sK3,$uminus($sum(sK0,1))),cons(X24,X26,X25))) ) | (~spl8_34 | ~spl8_186)), 119.69/119.02 inference(resolution,[],[f5506,f2857])). 119.69/119.02 tff(f5673,plain,( 119.69/119.02 spl8_682 | ~spl8_689 | spl8_690 | ~spl8_34 | ~spl8_118), 119.69/119.02 inference(avatar_split_clause,[],[f5653,f1586,f403,f5671,f5668,f5658])). 119.69/119.02 tff(f5671,plain,( 119.69/119.02 spl8_690 <=> $less(sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_690])])). 119.69/119.02 tff(f5653,plain,( 119.69/119.02 ( ! [X17:uni,X18:uni,X16:ty] : ($less(sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2($sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) | nth1(X16,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X17) = nth1(X16,$sum(sK3,$uminus($sum(sK0,1))),cons(X16,X18,X17))) ) | (~spl8_34 | ~spl8_118)), 119.69/119.02 inference(resolution,[],[f5506,f2319])). 119.69/119.02 tff(f5666,plain,( 119.69/119.02 spl8_682 | ~spl8_685 | spl8_686 | ~spl8_34 | ~spl8_186), 119.69/119.02 inference(avatar_split_clause,[],[f5652,f2831,f403,f5664,f5661,f5658])). 119.69/119.02 tff(f5664,plain,( 119.69/119.02 spl8_686 <=> $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_686])])). 119.69/119.02 tff(f5652,plain,( 119.69/119.02 ( ! [X14:uni,X15:uni,X13:ty] : ($less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1)))),0) | ~zero_at1(sK2,sK7(tb2t1(nil(int)),$sum(sK3,$uminus($sum(sK0,1))))) | nth1(X13,$sum($sum(sK3,$uminus($sum(sK0,1))),-1),X14) = nth1(X13,$sum(sK3,$uminus($sum(sK0,1))),cons(X13,X15,X14))) ) | (~spl8_34 | ~spl8_186)), 119.69/119.02 inference(resolution,[],[f5506,f2838])). 119.69/119.02 tff(f5647,plain,( 119.69/119.02 ~spl8_681 | spl8_456 | spl8_675), 119.69/119.02 inference(avatar_split_clause,[],[f5637,f5624,f3766,f5640])). 119.69/119.02 tff(f5640,plain,( 119.69/119.02 spl8_681 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_681])])). 119.69/119.02 tff(f3766,plain,( 119.69/119.02 spl8_456 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_456])])). 119.69/119.02 tff(f5637,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK2))) | ~spl8_675), 119.69/119.02 inference(resolution,[],[f5625,f267])). 119.69/119.02 tff(f5646,plain,( 119.69/119.02 ~spl8_681 | ~spl8_463 | spl8_675), 119.69/119.02 inference(avatar_split_clause,[],[f5636,f5624,f3791,f5640])). 119.69/119.02 tff(f3791,plain,( 119.69/119.02 spl8_463 <=> ~$less(sK7(sK2,0),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_463])])). 119.69/119.02 tff(f5636,plain,( 119.69/119.02 ~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK2))) | ~spl8_675), 119.69/119.02 inference(resolution,[],[f5625,f266])). 119.69/119.02 tff(f5645,plain,( 119.69/119.02 ~spl8_681 | spl8_462 | spl8_675), 119.69/119.02 inference(avatar_split_clause,[],[f5635,f5624,f5643,f5640])). 119.69/119.02 tff(f5635,plain,( 119.69/119.02 $less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK2))) | ~spl8_675), 119.69/119.02 inference(resolution,[],[f5625,f265])). 119.69/119.02 tff(f5634,plain,( 119.69/119.02 spl8_678 | ~spl8_675 | ~spl8_126), 119.69/119.02 inference(avatar_split_clause,[],[f5618,f1003,f5624,f5632])). 119.69/119.02 tff(f5632,plain,( 119.69/119.02 spl8_678 <=> ! [X4 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(X4))) | ~no_zero1(X4) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(X4))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_678])])). 119.69/119.02 tff(f1003,plain,( 119.69/119.02 spl8_126 <=> ! [X0 : $int] : (~$less($sum(sK3,$uminus($sum(sK0,1))),X0) | ~zero_at1(sK2,X0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_126])])). 119.69/119.02 tff(f5618,plain,( 119.69/119.02 ( ! [X4:list_int] : (~zero_at1(sK2,0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(X4))) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_126), 119.69/119.02 inference(resolution,[],[f1004,f250])). 119.69/119.02 tff(f1004,plain,( 119.69/119.02 ( ! [X0:$int] : (~$less($sum(sK3,$uminus($sum(sK0,1))),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_126), 119.69/119.02 inference(avatar_component_clause,[],[f1003])). 119.69/119.02 tff(f5630,plain,( 119.69/119.02 spl8_676 | ~spl8_675 | ~spl8_126), 119.69/119.02 inference(avatar_split_clause,[],[f5617,f1003,f5624,f5628])). 119.69/119.02 tff(f5628,plain,( 119.69/119.02 spl8_676 <=> ! [X3 : $int,X2 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(X2))) | ~zero_at1(X2,X3) | ~$less($sum(sK3,$uminus($sum(sK0,1))),X3))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_676])])). 119.69/119.02 tff(f5617,plain,( 119.69/119.02 ( ! [X2:list_int,X3:$int] : (~zero_at1(sK2,0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(X2))) | ~$less($sum(sK3,$uminus($sum(sK0,1))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_126), 119.69/119.02 inference(resolution,[],[f1004,f269])). 119.69/119.02 tff(f5626,plain,( 119.69/119.02 spl8_672 | ~spl8_675 | ~spl8_126), 119.69/119.02 inference(avatar_split_clause,[],[f5616,f1003,f5624,f5621])). 119.69/119.02 tff(f5621,plain,( 119.69/119.02 spl8_672 <=> ! [X1 : $int,X0 : $int] : (~$less($product(X0,$sum(sK3,$uminus($sum(sK0,1)))),$product(X1,$sum(sK3,$uminus($sum(sK0,1))))) | $less(X0,X1))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_672])])). 119.69/119.02 tff(f5616,plain,( 119.69/119.02 ( ! [X0:$int,X1:$int] : (~zero_at1(sK2,0) | ~$less($product(X0,$sum(sK3,$uminus($sum(sK0,1)))),$product(X1,$sum(sK3,$uminus($sum(sK0,1))))) | $less(X0,X1)) ) | ~spl8_126), 119.69/119.02 inference(resolution,[],[f1004,f274])). 119.69/119.02 tff(f274,plain,( 119.69/119.02 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 119.69/119.02 inference(cnf_transformation,[],[f105])). 119.69/119.02 tff(f105,plain,( 119.69/119.02 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 119.69/119.02 inference(flattening,[],[f104])). 119.69/119.02 tff(f104,plain,( 119.69/119.02 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 119.69/119.02 inference(ennf_transformation,[],[f83])). 119.69/119.02 tff(f83,plain,( 119.69/119.02 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 119.69/119.02 inference(rectify,[],[f52])). 119.69/119.02 tff(f52,plain,( 119.69/119.02 ! [X4 : $int,X17 : $int,X10 : $int] : (~$less(X17,X4) => (~$less(X10,0) => ~$less($product(X17,X10),$product(X4,X10))))), 119.69/119.02 inference(evaluation,[],[f41])). 119.69/119.02 tff(f41,axiom,( 119.69/119.02 ! [X4 : $int,X17 : $int,X10 : $int] : ($lesseq(X4,X17) => ($lesseq(0,X10) => $lesseq($product(X4,X10),$product(X17,X10))))), 119.69/119.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 119.69/119.02 tff(f5596,plain,( 119.69/119.02 spl8_670 | ~spl8_68), 119.69/119.02 inference(avatar_split_clause,[],[f5592,f773,f5594])). 119.69/119.02 tff(f5592,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_68), 119.69/119.02 inference(forward_demodulation,[],[f5535,f238])). 119.69/119.02 tff(f5535,plain,( 119.69/119.02 nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_68), 119.69/119.02 inference(superposition,[],[f238,f774])). 119.69/119.02 tff(f5591,plain,( 119.69/119.02 spl8_662 | ~spl8_141 | ~spl8_653 | spl8_664 | spl8_41 | ~spl8_68 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5590,f1101,f773,f522,f5571,f5581,f1038,f5568])). 119.69/119.02 tff(f1038,plain,( 119.69/119.02 spl8_141 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_141])])). 119.69/119.02 tff(f5581,plain,( 119.69/119.02 spl8_653 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_653])])). 119.69/119.02 tff(f5590,plain,( 119.69/119.02 ( ! [X17:uni,X15:ty,X16:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | nth1(X15,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X16) = nth1(X15,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X15,X17,X16))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5534,f273])). 119.69/119.02 tff(f5534,plain,( 119.69/119.02 ( ! [X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X15,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X16) = nth1(X15,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X15,X17,X16))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f2894,f774])). 119.69/119.02 tff(f5589,plain,( 119.69/119.02 spl8_66 | ~spl8_669 | spl8_664 | ~spl8_12 | ~spl8_68), 119.69/119.02 inference(avatar_split_clause,[],[f5585,f773,f751,f5571,f5587,f985])). 119.69/119.02 tff(f5585,plain,( 119.69/119.02 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | (~spl8_12 | ~spl8_68)), 119.69/119.02 inference(forward_demodulation,[],[f5584,f273])). 119.69/119.02 tff(f5584,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(1,length1(int,t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | (~spl8_12 | ~spl8_68)), 119.69/119.02 inference(forward_demodulation,[],[f5536,f244])). 119.69/119.02 tff(f5536,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | (~spl8_12 | ~spl8_68)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5533])). 119.69/119.02 tff(f5533,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | (~spl8_12 | ~spl8_68)), 119.69/119.02 inference(superposition,[],[f2241,f774])). 119.69/119.02 tff(f5583,plain,( 119.69/119.02 spl8_662 | spl8_642 | ~spl8_653 | spl8_664 | spl8_41 | ~spl8_68 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5579,f1101,f773,f522,f5571,f5581,f5428,f5568])). 119.69/119.02 tff(f5428,plain,( 119.69/119.02 spl8_642 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_642])])). 119.69/119.02 tff(f5579,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5532,f273])). 119.69/119.02 tff(f5532,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X12,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X13) = nth1(X12,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X12,X14,X13))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f2063,f774])). 119.69/119.02 tff(f5578,plain,( 119.69/119.02 spl8_662 | spl8_666 | spl8_664 | spl8_41 | ~spl8_68 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5574,f1101,f773,f522,f5571,f5576,f5568])). 119.69/119.02 tff(f5574,plain,( 119.69/119.02 ( ! [X10:uni,X11:uni,X9:ty] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X9,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X10) = nth1(X9,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5537,f273])). 119.69/119.02 tff(f5537,plain,( 119.69/119.02 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X9,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X10) = nth1(X9,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5531])). 119.69/119.02 tff(f5531,plain,( 119.69/119.02 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X9,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X10) = nth1(X9,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f1948,f774])). 119.69/119.02 tff(f5573,plain,( 119.69/119.02 ~spl8_661 | spl8_662 | spl8_664 | spl8_41 | ~spl8_68 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5563,f1101,f773,f522,f5571,f5568,f5565])). 119.69/119.02 tff(f5563,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5538,f273])). 119.69/119.02 tff(f5538,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(trivial_inequality_removal,[],[f5530])). 119.69/119.02 tff(f5530,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X6,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),X7) = nth1(X6,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(X6,X8,X7)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),0)) ) | (~spl8_41 | ~spl8_68 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f1946,f774])). 119.69/119.02 tff(f5562,plain,( 119.69/119.02 spl8_658 | spl8_650 | ~spl8_68), 119.69/119.02 inference(avatar_split_clause,[],[f5527,f773,f5544,f5560])). 119.69/119.02 tff(f5544,plain,( 119.69/119.02 spl8_650 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_650])])). 119.69/119.02 tff(f5527,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | 0 = sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_68), 119.69/119.02 inference(superposition,[],[f774,f287])). 119.69/119.02 tff(f5558,plain,( 119.69/119.02 spl8_656 | spl8_650 | ~spl8_68 | ~spl8_214), 119.69/119.02 inference(avatar_split_clause,[],[f5526,f1382,f773,f5544,f5556])). 119.69/119.02 tff(f5526,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_68 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f774,f1734])). 119.69/119.02 tff(f5554,plain,( 119.69/119.02 spl8_654 | spl8_650 | ~spl8_68 | ~spl8_100), 119.69/119.02 inference(avatar_split_clause,[],[f5525,f895,f773,f5544,f5552])). 119.69/119.02 tff(f5525,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2)))) | (~spl8_68 | ~spl8_100)), 119.69/119.02 inference(superposition,[],[f774,f1857])). 119.69/119.02 tff(f5550,plain,( 119.69/119.02 spl8_652 | spl8_650 | ~spl8_68 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f5524,f3189,f773,f5544,f5548])). 119.69/119.02 tff(f5524,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))))) | (~spl8_68 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f774,f3190])). 119.69/119.02 tff(f5546,plain,( 119.69/119.02 spl8_648 | spl8_650 | ~spl8_68 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f5523,f1746,f773,f5544,f5541])). 119.69/119.02 tff(f5523,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),-1),t2tb1(sK2))) | some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))),t2tb1(sK2))) | (~spl8_68 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f774,f2415])). 119.69/119.02 tff(f5514,plain,( 119.69/119.02 spl8_26 | ~spl8_647 | spl8_150 | ~spl8_34), 119.69/119.02 inference(avatar_split_clause,[],[f5499,f403,f2271,f5512,f367])). 119.69/119.02 tff(f5512,plain,( 119.69/119.02 spl8_647 <=> ~$less(sK6(sK2),$sum(sK3,$uminus($sum(sK0,1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_647])])). 119.69/119.02 tff(f5499,plain,( 119.69/119.02 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | ~spl8_34), 119.69/119.02 inference(trivial_inequality_removal,[],[f5496])). 119.69/119.02 tff(f5496,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | ~spl8_34), 119.69/119.02 inference(superposition,[],[f901,f249])). 119.69/119.02 tff(f5445,plain,( 119.69/119.02 spl8_94 | ~spl8_137 | ~spl8_118 | spl8_205), 119.69/119.02 inference(avatar_split_clause,[],[f5444,f1299,f1586,f1027,f5438])). 119.69/119.02 tff(f5444,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | (~spl8_118 | ~spl8_205)), 119.69/119.02 inference(forward_demodulation,[],[f2320,f4484])). 119.69/119.02 tff(f2320,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_118), 119.69/119.02 inference(forward_demodulation,[],[f2317,f234])). 119.69/119.02 tff(f2317,plain,( 119.69/119.02 zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_118), 119.69/119.02 inference(resolution,[],[f1587,f266])). 119.69/119.02 tff(f5443,plain,( 119.69/119.02 spl8_94 | spl8_644 | ~spl8_137 | ~spl8_118 | spl8_205), 119.69/119.02 inference(avatar_split_clause,[],[f5436,f1299,f1586,f1027,f5441,f5438])). 119.69/119.02 tff(f5436,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | some(X6,X8) = nth1(X6,-1,X7) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | (~spl8_118 | ~spl8_205)), 119.69/119.02 inference(forward_demodulation,[],[f4492,f4484])). 119.69/119.02 tff(f4492,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | some(X6,X8) = nth1(X6,-1,X7) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) ) | ~spl8_118), 119.69/119.02 inference(forward_demodulation,[],[f4491,f234])). 119.69/119.02 tff(f4491,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (some(X6,X8) = nth1(X6,-1,X7) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_118), 119.69/119.02 inference(forward_demodulation,[],[f4485,f285])). 119.69/119.02 tff(f4485,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (nth1(X6,-1,X7) = nth1(X6,0,cons(X6,X8,X7)) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_118), 119.69/119.02 inference(evaluation,[],[f4478])). 119.69/119.02 tff(f4478,plain,( 119.69/119.02 ( ! [X6:ty,X8:uni,X7:uni] : (nth1(X6,$sum(0,-1),X7) = nth1(X6,0,cons(X6,X8,X7)) | zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_118), 119.69/119.02 inference(resolution,[],[f2319,f266])). 119.69/119.02 tff(f5435,plain,( 119.69/119.02 ~spl8_145 | spl8_11 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5431,f1101,f328,f5433])). 119.69/119.02 tff(f328,plain,( 119.69/119.02 spl8_11 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_11])])). 119.69/119.02 tff(f5431,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f329,f1102])). 119.69/119.02 tff(f329,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~spl8_11), 119.69/119.02 inference(avatar_component_clause,[],[f328])). 119.69/119.02 tff(f5430,plain,( 119.69/119.02 ~spl8_147 | spl8_642 | spl8_11 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5426,f1101,f328,f5428,f1064])). 119.69/119.02 tff(f5426,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5425,f1102])). 119.69/119.02 tff(f5425,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5424,f285])). 119.69/119.02 tff(f5424,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f793,f1102])). 119.69/119.02 tff(f793,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_11), 119.69/119.02 inference(forward_demodulation,[],[f792,f234])). 119.69/119.02 tff(f792,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_11), 119.69/119.02 inference(forward_demodulation,[],[f778,f234])). 119.69/119.02 tff(f778,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_11), 119.69/119.02 inference(resolution,[],[f329,f267])). 119.69/119.02 tff(f5423,plain,( 119.69/119.02 ~spl8_147 | spl8_140 | spl8_11 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5422,f1101,f328,f5413,f1064])). 119.69/119.02 tff(f5422,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5421,f1102])). 119.69/119.02 tff(f5421,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5420,f285])). 119.69/119.02 tff(f5420,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f779,f1102])). 119.69/119.02 tff(f779,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_11), 119.69/119.02 inference(forward_demodulation,[],[f776,f234])). 119.69/119.02 tff(f776,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_11), 119.69/119.02 inference(resolution,[],[f329,f265])). 119.69/119.02 tff(f5419,plain,( 119.69/119.02 ~spl8_147 | ~spl8_141 | spl8_11 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5418,f1101,f328,f1038,f1064])). 119.69/119.02 tff(f5418,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5417,f1102])). 119.69/119.02 tff(f5417,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5416,f285])). 119.69/119.02 tff(f5416,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | (~spl8_11 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f787,f1102])). 119.69/119.02 tff(f787,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | ~spl8_11), 119.69/119.02 inference(forward_demodulation,[],[f777,f234])). 119.69/119.02 tff(f777,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_11), 119.69/119.02 inference(resolution,[],[f329,f266])). 119.69/119.02 tff(f5415,plain,( 119.69/119.02 spl8_140 | ~spl8_70 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5411,f1101,f781,f5413])). 119.69/119.02 tff(f781,plain,( 119.69/119.02 spl8_70 <=> $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_70])])). 119.69/119.02 tff(f5411,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | (~spl8_70 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f782,f1102])). 119.69/119.02 tff(f782,plain,( 119.69/119.02 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_70), 119.69/119.02 inference(avatar_component_clause,[],[f781])). 119.69/119.02 tff(f5410,plain,( 119.69/119.02 ~spl8_147 | spl8_73 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f5409,f1101,f784,f1064])). 119.69/119.02 tff(f784,plain,( 119.69/119.02 spl8_73 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_73])])). 119.69/119.02 tff(f5409,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | (~spl8_73 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f5408,f285])). 119.69/119.02 tff(f5408,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_73 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f785,f1102])). 119.69/119.02 tff(f785,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_73), 119.69/119.02 inference(avatar_component_clause,[],[f784])). 119.69/119.02 tff(f5407,plain,( 119.69/119.02 ~spl8_147 | spl8_73 | ~spl8_154), 119.69/119.02 inference(avatar_split_clause,[],[f1351,f1101,f784,f1064])). 119.69/119.02 tff(f1351,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | (~spl8_73 | ~spl8_154)), 119.69/119.02 inference(forward_demodulation,[],[f1348,f285])). 119.69/119.02 tff(f1348,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_73 | ~spl8_154)), 119.69/119.02 inference(superposition,[],[f785,f1102])). 119.69/119.02 tff(f5406,plain,( 119.69/119.02 ~spl8_91 | spl8_97), 119.69/119.02 inference(avatar_split_clause,[],[f883,f878,f866])). 119.69/119.02 tff(f883,plain,( 119.69/119.02 ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | ~spl8_97), 119.69/119.02 inference(resolution,[],[f879,f248])). 119.69/119.02 tff(f5405,plain,( 119.69/119.02 spl8_636 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f5255,f903,f403,f5390])). 119.69/119.02 tff(f903,plain,( 119.69/119.02 spl8_102 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_102])])). 119.69/119.02 tff(f5255,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),$sum(sK3,$uminus($sum(sK0,1)))) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f991])). 119.69/119.02 tff(f991,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),$sum(sK3,$uminus($sum(sK0,1)))) | ~spl8_102), 119.69/119.02 inference(superposition,[],[f265,f904])). 119.69/119.02 tff(f904,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2))) | ~spl8_102), 119.69/119.02 inference(avatar_component_clause,[],[f903])). 119.69/119.02 tff(f5404,plain,( 119.69/119.02 ~spl8_639 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f5256,f903,f403,f5394])). 119.69/119.02 tff(f5394,plain,( 119.69/119.02 spl8_639 <=> ~$less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_639])])). 119.69/119.02 tff(f5256,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | ~$less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f992])). 119.69/119.02 tff(f992,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | ~$less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~spl8_102), 119.69/119.02 inference(superposition,[],[f266,f904])). 119.69/119.02 tff(f5403,plain,( 119.69/119.02 spl8_640 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f5257,f903,f403,f5398])). 119.69/119.02 tff(f5398,plain,( 119.69/119.02 spl8_640 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_640])])). 119.69/119.02 tff(f5257,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f993])). 119.69/119.02 tff(f993,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_102), 119.69/119.02 inference(superposition,[],[f267,f904])). 119.69/119.02 tff(f5402,plain,( 119.69/119.02 ~spl8_27 | ~spl8_131 | spl8_128 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f5259,f903,f1006,f1013,f1010])). 119.69/119.02 tff(f1010,plain,( 119.69/119.02 spl8_27 <=> ~no_zero1(sK2)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_27])])). 119.69/119.02 tff(f1013,plain,( 119.69/119.02 spl8_131 <=> ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_131])])). 119.69/119.02 tff(f5259,plain,( 119.69/119.02 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f995])). 119.69/119.02 tff(f995,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_102), 119.69/119.02 inference(superposition,[],[f250,f904])). 119.69/119.02 tff(f5401,plain,( 119.69/119.02 ~spl8_27 | ~spl8_131 | spl8_128 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f997,f903,f1006,f1013,f1010])). 119.69/119.02 tff(f997,plain,( 119.69/119.02 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f995])). 119.69/119.02 tff(f5400,plain,( 119.69/119.02 spl8_640 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f999,f903,f403,f5398])). 119.69/119.02 tff(f999,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),t2tb1(sK2))) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f993])). 119.69/119.02 tff(f5396,plain,( 119.69/119.02 ~spl8_639 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f1000,f903,f403,f5394])). 119.69/119.02 tff(f1000,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | ~$less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),0) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f992])). 119.69/119.02 tff(f5392,plain,( 119.69/119.02 spl8_636 | spl8_34 | ~spl8_102), 119.69/119.02 inference(avatar_split_clause,[],[f1001,f903,f403,f5390])). 119.69/119.02 tff(f1001,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $less(sK7(sK2,$sum(sK3,$uminus($sum(sK0,1)))),$sum(sK3,$uminus($sum(sK0,1)))) | ~spl8_102), 119.69/119.02 inference(trivial_inequality_removal,[],[f991])). 119.69/119.02 tff(f5388,plain,( 119.69/119.02 ~spl8_27 | ~spl8_149 | spl8_150 | ~spl8_152), 119.69/119.02 inference(avatar_split_clause,[],[f5264,f1088,f2271,f2268,f1010])). 119.69/119.02 tff(f2268,plain,( 119.69/119.02 spl8_149 <=> ~$less(sK6(sK2),length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_149])])). 119.69/119.02 tff(f5264,plain,( 119.69/119.02 $less(sK6(sK2),0) | ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_152), 119.69/119.02 inference(trivial_inequality_removal,[],[f2248])). 119.69/119.02 tff(f2248,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_152), 119.69/119.02 inference(superposition,[],[f250,f1089])). 119.69/119.02 tff(f5387,plain,( 119.69/119.02 ~spl8_27 | ~spl8_149 | spl8_150 | ~spl8_152), 119.69/119.02 inference(avatar_split_clause,[],[f2250,f1088,f2271,f2268,f1010])). 119.69/119.02 tff(f2250,plain,( 119.69/119.02 $less(sK6(sK2),0) | ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_152), 119.69/119.02 inference(trivial_inequality_removal,[],[f2248])). 119.69/119.02 tff(f5385,plain,( 119.69/119.02 spl8_452 | spl8_330 | spl8_344 | spl8_41 | ~spl8_154 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5384,f2410,f1101,f522,f2400,f2348,f3758])). 119.69/119.02 tff(f2400,plain,( 119.69/119.02 spl8_344 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_344])])). 119.69/119.02 tff(f5384,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum(sK6(tb2t1(nil(int))),-2),X5) = nth1(X4,$sum(sK6(tb2t1(nil(int))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f3875,f236])). 119.69/119.02 tff(f3875,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum(sK6(tb2t1(nil(int))),-2),X5) = nth1(X4,$sum(sK6(tb2t1(nil(int))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(evaluation,[],[f3874])). 119.69/119.02 tff(f3874,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X5:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X5) = nth1(X4,$sum(sK6(tb2t1(nil(int))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(trivial_inequality_removal,[],[f3862])). 119.69/119.02 tff(f3862,plain,( 119.69/119.02 ( ! [X6:uni,X4:ty,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X5) = nth1(X4,$sum(sK6(tb2t1(nil(int))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(superposition,[],[f1948,f2411])). 119.69/119.02 tff(f5383,plain,( 119.69/119.02 spl8_452 | spl8_330 | ~spl8_333 | spl8_41 | ~spl8_154 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5382,f2410,f1101,f522,f2396,f2348,f3758])). 119.69/119.02 tff(f2396,plain,( 119.69/119.02 spl8_333 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_333])])). 119.69/119.02 tff(f5382,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X11:uni] : (~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X10,$sum(sK6(tb2t1(nil(int))),-2),X11) = nth1(X10,$sum(sK6(tb2t1(nil(int))),-1),cons(X10,X12,X11))) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f3872,f236])). 119.69/119.02 tff(f3872,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X11:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X10,$sum(sK6(tb2t1(nil(int))),-2),X11) = nth1(X10,$sum(sK6(tb2t1(nil(int))),-1),cons(X10,X12,X11)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(evaluation,[],[f3871])). 119.69/119.02 tff(f3871,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X11:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X10,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X11) = nth1(X10,$sum(sK6(tb2t1(nil(int))),-1),cons(X10,X12,X11)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(trivial_inequality_removal,[],[f3864])). 119.69/119.02 tff(f3864,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X10,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X11) = nth1(X10,$sum(sK6(tb2t1(nil(int))),-1),cons(X10,X12,X11)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_348)), 119.69/119.02 inference(superposition,[],[f1946,f2411])). 119.69/119.02 tff(f5380,plain,( 119.69/119.02 spl8_26 | ~spl8_635 | spl8_150 | ~spl8_274), 119.69/119.02 inference(avatar_split_clause,[],[f4453,f1801,f2271,f5378,f367])). 119.69/119.02 tff(f4453,plain,( 119.69/119.02 $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | no_zero1(sK2) | ~spl8_274), 119.69/119.02 inference(trivial_inequality_removal,[],[f4450])). 119.69/119.02 tff(f4450,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | no_zero1(sK2) | ~spl8_274), 119.69/119.02 inference(superposition,[],[f2236,f249])). 119.69/119.02 tff(f5375,plain,( 119.69/119.02 spl8_134 | spl8_632 | spl8_117), 119.69/119.02 inference(avatar_split_clause,[],[f3139,f943,f5369,f1024])). 119.69/119.02 tff(f1024,plain,( 119.69/119.02 spl8_134 <=> 0 = $sum(sK3,$uminus(sK0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_134])])). 119.69/119.02 tff(f5369,plain,( 119.69/119.02 spl8_632 <=> ! [X42 : $int,X44 : uni,X43 : ty,X45 : uni] : (tb2t(some(int,t2tb2(X42))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X43,$sum(X42,-1),X44) = nth1(X43,X42,cons(X43,X45,X44)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_632])])). 119.69/119.02 tff(f943,plain,( 119.69/119.02 spl8_117 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_117])])). 119.69/119.02 tff(f3139,plain,( 119.69/119.02 ( ! [X6:uni,X4:$int,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(X4))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X5,$sum(X4,-1),X6) = nth1(X5,X4,cons(X5,X7,X6)) | 0 = $sum(sK3,$uminus(sK0))) ) | ~spl8_117), 119.69/119.02 inference(superposition,[],[f1730,f287])). 119.69/119.02 tff(f1730,plain,( 119.69/119.02 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(X0),t2tb1(sK2)))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_117), 119.69/119.02 inference(superposition,[],[f944,f287])). 119.69/119.02 tff(f944,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_117), 119.69/119.02 inference(avatar_component_clause,[],[f943])). 119.69/119.02 tff(f5374,plain,( 119.69/119.02 spl8_630 | spl8_632 | spl8_117 | ~spl8_214), 119.69/119.02 inference(avatar_split_clause,[],[f3165,f1382,f943,f5369,f5364])). 119.69/119.02 tff(f5364,plain,( 119.69/119.02 spl8_630 <=> tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_630])])). 119.69/119.02 tff(f3165,plain,( 119.69/119.02 ( ! [X14:uni,X12:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(X11))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X12,$sum(X11,-1),X13) = nth1(X12,X11,cons(X12,X14,X13)) | tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2))))) ) | (~spl8_117 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f1730,f1734])). 119.69/119.02 tff(f5373,plain,( 119.69/119.02 spl8_628 | spl8_632 | ~spl8_100 | spl8_117), 119.69/119.02 inference(avatar_split_clause,[],[f3310,f943,f895,f5369,f5360])). 119.69/119.02 tff(f5360,plain,( 119.69/119.02 spl8_628 <=> tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_628])])). 119.69/119.02 tff(f3310,plain,( 119.69/119.02 ( ! [X17:uni,X15:$int,X18:uni,X16:ty] : (tb2t(some(int,t2tb2(X15))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X16,$sum(X15,-1),X17) = nth1(X16,X15,cons(X16,X18,X17)) | tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_117)), 119.69/119.02 inference(superposition,[],[f1730,f1857])). 119.69/119.02 tff(f5372,plain,( 119.69/119.02 spl8_626 | spl8_632 | spl8_117 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f4230,f3189,f943,f5369,f5356])). 119.69/119.02 tff(f5356,plain,( 119.69/119.02 spl8_626 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_626])])). 119.69/119.02 tff(f4230,plain,( 119.69/119.02 ( ! [X21:uni,X19:$int,X22:uni,X20:ty] : (tb2t(some(int,t2tb2(X19))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X20,$sum(X19,-1),X21) = nth1(X20,X19,cons(X20,X22,X21)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0)))))) ) | (~spl8_117 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f1730,f3190])). 119.69/119.02 tff(f5371,plain,( 119.69/119.02 spl8_624 | spl8_632 | spl8_117 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f5135,f1746,f943,f5369,f5352])). 119.69/119.02 tff(f5352,plain,( 119.69/119.02 spl8_624 <=> some(int,t2tb2($sum(sK3,$uminus(sK0)))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_624])])). 119.69/119.02 tff(f5135,plain,( 119.69/119.02 ( ! [X45:uni,X43:ty,X44:uni,X42:$int] : (tb2t(some(int,t2tb2(X42))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | nth1(X43,$sum(X42,-1),X44) = nth1(X43,X42,cons(X43,X45,X44)) | some(int,t2tb2($sum(sK3,$uminus(sK0)))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))) ) | (~spl8_117 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f1730,f2415])). 119.69/119.02 tff(f5367,plain,( 119.69/119.02 spl8_134 | ~spl8_137 | spl8_117), 119.69/119.02 inference(avatar_split_clause,[],[f1731,f943,f1027,f1024])). 119.69/119.02 tff(f1731,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | 0 = $sum(sK3,$uminus(sK0)) | ~spl8_117), 119.69/119.02 inference(superposition,[],[f944,f287])). 119.69/119.02 tff(f5366,plain,( 119.69/119.02 spl8_630 | ~spl8_137 | spl8_117 | ~spl8_214), 119.69/119.02 inference(avatar_split_clause,[],[f3159,f1382,f943,f1027,f5364])). 119.69/119.02 tff(f3159,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))) | (~spl8_117 | ~spl8_214)), 119.69/119.02 inference(superposition,[],[f944,f1734])). 119.69/119.02 tff(f5362,plain,( 119.69/119.02 spl8_628 | ~spl8_137 | ~spl8_100 | spl8_117), 119.69/119.02 inference(avatar_split_clause,[],[f3304,f943,f895,f1027,f5360])). 119.69/119.02 tff(f3304,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2)))) | (~spl8_100 | ~spl8_117)), 119.69/119.02 inference(superposition,[],[f944,f1857])). 119.69/119.02 tff(f5358,plain,( 119.69/119.02 spl8_626 | ~spl8_137 | spl8_117 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f4223,f3189,f943,f1027,f5356])). 119.69/119.02 tff(f4223,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,$uminus(sK0))))) | (~spl8_117 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f944,f3190])). 119.69/119.02 tff(f5354,plain,( 119.69/119.02 spl8_624 | ~spl8_137 | spl8_117 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f5122,f1746,f943,f1027,f5352])). 119.69/119.02 tff(f5122,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | some(int,t2tb2($sum(sK3,$uminus(sK0)))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,$uminus(sK0))),t2tb1(sK2))) | (~spl8_117 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f944,f2415])). 119.69/119.02 tff(f5348,plain,( 119.69/119.02 spl8_90 | spl8_622 | ~spl8_98), 119.69/119.02 inference(avatar_split_clause,[],[f1595,f889,f5346,f1510])). 119.69/119.02 tff(f1510,plain,( 119.69/119.02 spl8_90 <=> $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_90])])). 119.69/119.02 tff(f1595,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_98), 119.69/119.02 inference(resolution,[],[f890,f269])). 119.69/119.02 tff(f5344,plain,( 119.69/119.02 spl8_90 | spl8_620 | ~spl8_270), 119.69/119.02 inference(avatar_split_clause,[],[f2216,f1792,f5342,f1510])). 119.69/119.02 tff(f2216,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(X0))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | ~zero_at1(X0,1)) ) | ~spl8_270), 119.69/119.02 inference(resolution,[],[f1793,f269])). 119.69/119.02 tff(f5340,plain,( 119.69/119.02 spl8_66 | spl8_124 | ~spl8_62), 119.69/119.02 inference(avatar_split_clause,[],[f983,f759,f988,f985])). 119.69/119.02 tff(f983,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~zero_at1(X0,$sum(sK3,$uminus(sK0)))) ) | ~spl8_62), 119.69/119.02 inference(resolution,[],[f760,f269])). 119.69/119.02 tff(f5339,plain,( 119.69/119.02 spl8_66 | spl8_124 | ~spl8_62), 119.69/119.02 inference(avatar_split_clause,[],[f1324,f759,f988,f985])). 119.69/119.02 tff(f1324,plain,( 119.69/119.02 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(X0))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~zero_at1(X0,$sum(sK3,$uminus(sK0)))) ) | ~spl8_62), 119.69/119.02 inference(resolution,[],[f760,f269])). 119.69/119.02 tff(f5338,plain,( 119.69/119.02 spl8_22 | ~spl8_54), 119.69/119.02 inference(avatar_split_clause,[],[f1500,f964,f5336])). 119.69/119.02 tff(f1500,plain,( 119.69/119.02 no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_54), 119.69/119.02 inference(resolution,[],[f965,f248])). 119.69/119.02 tff(f965,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0) | ~spl8_54), 119.69/119.02 inference(avatar_component_clause,[],[f964])). 119.69/119.02 tff(f5334,plain,( 119.69/119.02 spl8_602 | spl8_618 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1782,f1116,f5330,f5290])). 119.69/119.02 tff(f1782,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_160), 119.69/119.02 inference(trivial_inequality_removal,[],[f1770])). 119.69/119.02 tff(f1770,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f265,f1117])). 119.69/119.02 tff(f5333,plain,( 119.69/119.02 ~spl8_605 | spl8_618 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1781,f1116,f5330,f5295])). 119.69/119.02 tff(f5295,plain,( 119.69/119.02 spl8_605 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_605])])). 119.69/119.02 tff(f1781,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~spl8_160), 119.69/119.02 inference(trivial_inequality_removal,[],[f1771])). 119.69/119.02 tff(f1771,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f266,f1117])). 119.69/119.02 tff(f5332,plain,( 119.69/119.02 spl8_608 | spl8_618 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1780,f1116,f5330,f5305])). 119.69/119.02 tff(f1780,plain,( 119.69/119.02 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_160), 119.69/119.02 inference(trivial_inequality_removal,[],[f1772])). 119.69/119.02 tff(f1772,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f267,f1117])). 119.69/119.02 tff(f5328,plain,( 119.69/119.02 spl8_616 | spl8_590 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1779,f1116,f5266,f5326])). 119.69/119.02 tff(f1779,plain,( 119.69/119.02 ( ! [X0:$int] : ($less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_160), 119.69/119.02 inference(evaluation,[],[f1778])). 119.69/119.02 tff(f1778,plain,( 119.69/119.02 ( ! [X0:$int] : ($less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_160), 119.69/119.02 inference(trivial_inequality_removal,[],[f1773])). 119.69/119.02 tff(f1773,plain,( 119.69/119.02 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f269,f1117])). 119.69/119.02 tff(f5324,plain,( 119.69/119.02 ~spl8_27 | ~spl8_593 | spl8_590 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1777,f1116,f5266,f5269,f1010])). 119.69/119.02 tff(f5269,plain,( 119.69/119.02 spl8_593 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_593])])). 119.69/119.02 tff(f1777,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_160), 119.69/119.02 inference(evaluation,[],[f1776])). 119.69/119.02 tff(f1776,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_160), 119.69/119.02 inference(trivial_inequality_removal,[],[f1774])). 119.69/119.02 tff(f1774,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f250,f1117])). 119.69/119.02 tff(f5323,plain,( 119.69/119.02 spl8_614 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f1828,f1116,f5321])). 119.69/119.02 tff(f1828,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2)) | ~spl8_160), 119.69/119.02 inference(forward_demodulation,[],[f1775,f238])). 119.69/119.02 tff(f1775,plain,( 119.69/119.02 nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_160), 119.69/119.02 inference(superposition,[],[f238,f1117])). 119.69/119.02 tff(f5319,plain,( 119.69/119.02 ~spl8_433 | ~spl8_613 | spl8_379), 119.69/119.02 inference(avatar_split_clause,[],[f3668,f2674,f5316,f3671])). 119.69/119.02 tff(f3671,plain,( 119.69/119.02 spl8_433 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_433])])). 119.69/119.02 tff(f5316,plain,( 119.69/119.02 spl8_613 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_613])])). 119.69/119.02 tff(f2674,plain,( 119.69/119.02 spl8_379 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_379])])). 119.69/119.02 tff(f3668,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0) | ~spl8_379), 119.69/119.02 inference(forward_demodulation,[],[f3656,f234])). 119.69/119.02 tff(f3656,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_379), 119.69/119.02 inference(resolution,[],[f2675,f266])). 119.69/119.02 tff(f2675,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3) | ~spl8_379), 119.69/119.02 inference(avatar_component_clause,[],[f2674])). 119.69/119.02 tff(f5318,plain,( 119.69/119.02 spl8_434 | ~spl8_613 | spl8_379), 119.69/119.02 inference(avatar_split_clause,[],[f3675,f2674,f5316,f3678])). 119.69/119.02 tff(f3678,plain,( 119.69/119.02 spl8_434 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_434])])). 119.69/119.02 tff(f3675,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_379), 119.69/119.02 inference(forward_demodulation,[],[f3674,f234])). 119.69/119.02 tff(f3674,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_379), 119.69/119.02 inference(forward_demodulation,[],[f3657,f234])). 119.69/119.02 tff(f3657,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_379), 119.69/119.02 inference(resolution,[],[f2675,f267])). 119.69/119.02 tff(f5314,plain,( 119.69/119.02 ~spl8_441 | ~spl8_611 | spl8_383), 119.69/119.02 inference(avatar_split_clause,[],[f3695,f2681,f5311,f3698])). 119.69/119.02 tff(f3698,plain,( 119.69/119.02 spl8_441 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_441])])). 119.69/119.02 tff(f5311,plain,( 119.69/119.02 spl8_611 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_611])])). 119.69/119.02 tff(f2681,plain,( 119.69/119.02 spl8_383 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0)), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_383])])). 119.69/119.02 tff(f3695,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0) | ~spl8_383), 119.69/119.02 inference(forward_demodulation,[],[f3683,f234])). 119.69/119.02 tff(f3683,plain,( 119.69/119.02 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_383), 119.69/119.02 inference(resolution,[],[f2682,f266])). 119.69/119.02 tff(f2682,plain,( 119.69/119.02 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0) | ~spl8_383), 119.69/119.02 inference(avatar_component_clause,[],[f2681])). 119.69/119.02 tff(f5313,plain,( 119.69/119.02 spl8_442 | ~spl8_611 | spl8_383), 119.69/119.02 inference(avatar_split_clause,[],[f3702,f2681,f5311,f3705])). 119.69/119.02 tff(f3705,plain,( 119.69/119.02 spl8_442 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_442])])). 119.69/119.02 tff(f3702,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_383), 119.69/119.02 inference(forward_demodulation,[],[f3701,f234])). 119.69/119.02 tff(f3701,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_383), 119.69/119.02 inference(forward_demodulation,[],[f3684,f234])). 119.69/119.02 tff(f3684,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_383), 119.69/119.02 inference(resolution,[],[f2682,f267])). 119.69/119.02 tff(f5309,plain,( 119.69/119.02 spl8_600 | spl8_330 | ~spl8_607 | spl8_456 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5308,f1116,f1101,f522,f3766,f5300,f2348,f5287])). 119.69/119.02 tff(f5300,plain,( 119.69/119.02 spl8_607 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_607])])). 119.69/119.02 tff(f5308,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(forward_demodulation,[],[f3607,f236])). 119.69/119.02 tff(f3607,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f3596])). 119.69/119.02 tff(f3596,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f2063,f1117])). 119.69/119.02 tff(f5307,plain,( 119.69/119.02 spl8_600 | spl8_330 | spl8_608 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5303,f1116,f1101,f522,f5305,f2348,f5287])). 119.69/119.02 tff(f5303,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(forward_demodulation,[],[f3561,f236])). 119.69/119.02 tff(f3561,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f3560])). 119.69/119.02 tff(f3560,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(trivial_inequality_removal,[],[f3542])). 119.69/119.02 tff(f3542,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f1948,f1117])). 119.69/119.02 tff(f5302,plain,( 119.69/119.02 spl8_600 | spl8_330 | ~spl8_607 | ~spl8_463 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5298,f1116,f1101,f522,f3791,f5300,f2348,f5287])). 119.69/119.02 tff(f5298,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(forward_demodulation,[],[f3511,f236])). 119.69/119.02 tff(f3511,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f3500])). 119.69/119.02 tff(f3500,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f2894,f1117])). 119.69/119.02 tff(f5297,plain,( 119.69/119.02 spl8_600 | spl8_330 | ~spl8_605 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5293,f1116,f1101,f522,f5295,f2348,f5287])). 119.69/119.02 tff(f5293,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(forward_demodulation,[],[f3467,f236])). 119.69/119.02 tff(f3467,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f3466])). 119.69/119.02 tff(f3466,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(trivial_inequality_removal,[],[f3448])). 119.69/119.02 tff(f3448,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f1946,f1117])). 119.69/119.02 tff(f5292,plain,( 119.69/119.02 spl8_600 | spl8_330 | spl8_602 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f5285,f1116,f1101,f522,f5290,f2348,f5287])). 119.69/119.02 tff(f5285,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : ($less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(forward_demodulation,[],[f3428,f236])). 119.69/119.02 tff(f3428,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f3427])). 119.69/119.02 tff(f3427,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(trivial_inequality_removal,[],[f3409])). 119.69/119.02 tff(f3409,plain,( 119.69/119.02 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),-1),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1))) ) | (~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f1945,f1117])). 119.69/119.02 tff(f5284,plain,( 119.69/119.02 ~spl8_599 | spl8_590 | ~spl8_160 | ~spl8_274), 119.69/119.02 inference(avatar_split_clause,[],[f4459,f1801,f1116,f5266,f5282])). 119.69/119.02 tff(f4459,plain,( 119.69/119.02 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_274)), 119.69/119.02 inference(evaluation,[],[f4458])). 119.69/119.02 tff(f4458,plain,( 119.69/119.02 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_274)), 119.69/119.02 inference(trivial_inequality_removal,[],[f4447])). 119.69/119.02 tff(f4447,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_160 | ~spl8_274)), 119.69/119.02 inference(superposition,[],[f2236,f1117])). 119.69/119.02 tff(f5280,plain,( 119.69/119.02 ~spl8_595 | spl8_596 | spl8_205 | ~spl8_292 | ~spl8_466), 119.69/119.02 inference(avatar_split_clause,[],[f5273,f3904,f1991,f1299,f5278,f5275])). 119.69/119.02 tff(f5275,plain,( 119.69/119.02 spl8_595 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),tb2t2(some_proj_11(int,some(int,t2tb2(0))))),tb2t2(some_proj_11(int,some(int,t2tb2(0)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_595])])). 119.69/119.02 tff(f1991,plain,( 119.69/119.02 spl8_292 <=> cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_292])])). 119.69/119.02 tff(f5273,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(tb2t2(some_proj_11(int,some(int,t2tb2(0)))),-1),X1) = nth1(X0,tb2t2(some_proj_11(int,some(int,t2tb2(0)))),cons(X0,X2,X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),tb2t2(some_proj_11(int,some(int,t2tb2(0))))),tb2t2(some_proj_11(int,some(int,t2tb2(0)))))) ) | (~spl8_205 | ~spl8_292 | ~spl8_466)), 119.69/119.02 inference(forward_demodulation,[],[f5272,f3905])). 119.69/119.02 tff(f5272,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),tb2t2(some_proj_11(int,some(int,t2tb2(0))))),tb2t2(some_proj_11(int,some(int,t2tb2(0))))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_205 | ~spl8_292 | ~spl8_466)), 119.69/119.02 inference(forward_demodulation,[],[f4510,f3905])). 119.69/119.02 tff(f4510,plain,( 119.69/119.02 ( ! [X2:uni,X0:ty,X1:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))))),tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))))) | nth1(X0,$sum(tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))),-1),X1) = nth1(X0,tb2t2(cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))),cons(X0,X2,X1))) ) | (~spl8_205 | ~spl8_292)), 119.69/119.02 inference(superposition,[],[f2738,f1992])). 119.69/119.02 tff(f1992,plain,( 119.69/119.02 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | ~spl8_292), 119.69/119.02 inference(avatar_component_clause,[],[f1991])). 119.69/119.02 tff(f2738,plain,( 119.69/119.02 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (~$less(sK7(tb2t1(cons(int,X0,t2tb1(sK2))),tb2t2(X0)),tb2t2(X0)) | nth1(X1,$sum(tb2t2(X0),-1),X2) = nth1(X1,tb2t2(X0),cons(X1,X3,X2))) ) | ~spl8_205), 119.69/119.02 inference(superposition,[],[f1556,f237])). 119.69/119.02 tff(f5271,plain,( 119.69/119.02 spl8_590 | spl8_330 | ~spl8_593 | ~spl8_12 | ~spl8_160), 119.69/119.02 inference(avatar_split_clause,[],[f4590,f1116,f751,f5269,f2348,f5266])). 119.69/119.02 tff(f4590,plain,( 119.69/119.02 ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | (~spl8_12 | ~spl8_160)), 119.69/119.02 inference(evaluation,[],[f4589])). 119.69/119.02 tff(f4589,plain,( 119.69/119.02 ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | (~spl8_12 | ~spl8_160)), 119.69/119.02 inference(trivial_inequality_removal,[],[f4566])). 119.69/119.02 tff(f4566,plain,( 119.69/119.02 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | (~spl8_12 | ~spl8_160)), 119.69/119.02 inference(superposition,[],[f2241,f1117])). 119.69/119.02 tff(f5254,plain,( 119.69/119.02 ~spl8_552), 119.69/119.02 inference(avatar_contradiction_clause,[],[f5251])). 119.69/119.02 tff(f5251,plain,( 119.69/119.02 $false | ~spl8_552), 119.69/119.02 inference(resolution,[],[f5021,f251])). 119.69/119.02 tff(f5021,plain,( 119.69/119.02 $less(length1(int,t2tb1(sK2)),0) | ~spl8_552), 119.69/119.02 inference(avatar_component_clause,[],[f5020])). 119.69/119.02 tff(f5229,plain,( 119.69/119.02 spl8_576 | ~spl8_587 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5228,f2410,f1746,f5222,f5180])). 119.69/119.02 tff(f5180,plain,( 119.69/119.02 spl8_576 <=> some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_576])])). 119.69/119.02 tff(f5222,plain,( 119.69/119.02 spl8_587 <=> some(int,t2tb2(0)) != some(int,t2tb2(sK6(tb2t1(nil(int)))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_587])])). 119.69/119.02 tff(f5228,plain,( 119.69/119.02 some(int,t2tb2(0)) != some(int,t2tb2(sK6(tb2t1(nil(int))))) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5162,f2411])). 119.69/119.02 tff(f5162,plain,( 119.69/119.02 some(int,t2tb2(sK6(tb2t1(nil(int))))) != nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | ~spl8_266), 119.69/119.02 inference(equality_factoring,[],[f2415])). 119.69/119.02 tff(f5227,plain,( 119.69/119.02 ~spl8_587 | spl8_588 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5220,f2410,f1746,f5225,f5222])). 119.69/119.02 tff(f5225,plain,( 119.69/119.02 spl8_588 <=> some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_588])])). 119.69/119.02 tff(f5220,plain,( 119.69/119.02 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | some(int,t2tb2(0)) != some(int,t2tb2(sK6(tb2t1(nil(int))))) | (~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5219,f2411])). 119.69/119.02 tff(f5219,plain,( 119.69/119.02 some(int,t2tb2(0)) != some(int,t2tb2(sK6(tb2t1(nil(int))))) | nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | (~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5161,f2411])). 119.69/119.02 tff(f5161,plain,( 119.69/119.02 some(int,t2tb2(sK6(tb2t1(nil(int))))) != nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | ~spl8_266), 119.69/119.02 inference(equality_factoring,[],[f2415])). 119.69/119.02 tff(f5209,plain,( 119.69/119.02 spl8_262 | spl8_582 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f5108,f1746,f5190,f1738])). 119.69/119.02 tff(f1738,plain,( 119.69/119.02 spl8_262 <=> 0 = sK6(tb2t1(nil(int)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_262])])). 119.69/119.02 tff(f5190,plain,( 119.69/119.02 spl8_582 <=> ! [X9 : $int,X11 : uni,X10 : ty,X12 : uni] : (some(int,t2tb2(X9)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X10,$sum(X9,-1),X11) = nth1(X10,X9,cons(X10,X12,X11)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_582])])). 119.69/119.02 tff(f5108,plain,( 119.69/119.02 ( ! [X23:uni,X21:ty,X22:uni,X20:$int] : (some(int,t2tb2(X20)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | 0 = sK6(tb2t1(nil(int))) | nth1(X21,$sum(X20,-1),X22) = nth1(X21,X20,cons(X21,X23,X22))) ) | ~spl8_266), 119.69/119.02 inference(superposition,[],[f287,f2415])). 119.69/119.02 tff(f5208,plain,( 119.69/119.02 spl8_412 | spl8_578 | ~spl8_214 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5207,f2410,f1746,f1382,f5183,f3186])). 119.69/119.02 tff(f3186,plain,( 119.69/119.02 spl8_412 <=> tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_412])])). 119.69/119.02 tff(f5183,plain,( 119.69/119.02 spl8_578 <=> ! [X1 : $int,X3 : uni,X2 : ty,X4 : uni] : (some(int,t2tb2(0)) = some(int,t2tb2(X1)) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_578])])). 119.69/119.02 tff(f5207,plain,( 119.69/119.02 ( ! [X19:uni,X17:ty,X18:uni,X16:$int] : (some(int,t2tb2(0)) = some(int,t2tb2(X16)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) | nth1(X17,$sum(X16,-1),X18) = nth1(X17,X16,cons(X17,X19,X18))) ) | (~spl8_214 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5107,f2411])). 119.69/119.02 tff(f5107,plain,( 119.69/119.02 ( ! [X19:uni,X17:ty,X18:uni,X16:$int] : (some(int,t2tb2(X16)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) | nth1(X17,$sum(X16,-1),X18) = nth1(X17,X16,cons(X17,X19,X18))) ) | (~spl8_214 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f1734,f2415])). 119.69/119.02 tff(f5206,plain,( 119.69/119.02 spl8_584 | spl8_578 | ~spl8_100 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5205,f2410,f1746,f895,f5183,f5195])). 119.69/119.02 tff(f5195,plain,( 119.69/119.02 spl8_584 <=> tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_584])])). 119.69/119.02 tff(f5205,plain,( 119.69/119.02 ( ! [X14:uni,X12:$int,X15:uni,X13:ty] : (some(int,t2tb2(0)) = some(int,t2tb2(X12)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) | nth1(X13,$sum(X12,-1),X14) = nth1(X13,X12,cons(X13,X15,X14))) ) | (~spl8_100 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5106,f2411])). 119.69/119.02 tff(f5106,plain,( 119.69/119.02 ( ! [X14:uni,X12:$int,X15:uni,X13:ty] : (some(int,t2tb2(X12)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) | nth1(X13,$sum(X12,-1),X14) = nth1(X13,X12,cons(X13,X15,X14))) ) | (~spl8_100 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f1857,f2415])). 119.69/119.02 tff(f5204,plain,( 119.69/119.02 spl8_580 | spl8_582 | ~spl8_266 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f5105,f3189,f1746,f5190,f5187])). 119.69/119.02 tff(f5187,plain,( 119.69/119.02 spl8_580 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(nil(int))))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_580])])). 119.69/119.02 tff(f5105,plain,( 119.69/119.02 ( ! [X10:uni,X8:$int,X11:uni,X9:ty] : (some(int,t2tb2(X8)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) | nth1(X9,$sum(X8,-1),X10) = nth1(X9,X8,cons(X9,X11,X10))) ) | (~spl8_266 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f3190,f2415])). 119.69/119.02 tff(f5203,plain,( 119.69/119.02 spl8_576 | spl8_578 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5202,f2410,f1746,f5183,f5180])). 119.69/119.02 tff(f5202,plain,( 119.69/119.02 ( ! [X39:uni,X37:$int,X38:ty,X40:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(X37)) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | nth1(X38,$sum(X37,-1),X39) = nth1(X38,X37,cons(X38,X40,X39))) ) | (~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5102,f2411])). 119.69/119.02 tff(f5102,plain,( 119.69/119.02 ( ! [X39:uni,X37:$int,X38:ty,X40:uni] : (some(int,t2tb2(X37)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))) | nth1(X38,$sum(X37,-1),X39) = nth1(X38,X37,cons(X38,X40,X39))) ) | ~spl8_266), 119.69/119.02 inference(superposition,[],[f2415,f2415])). 119.69/119.02 tff(f5200,plain,( 119.69/119.02 spl8_262 | spl8_582 | ~spl8_266), 119.69/119.02 inference(avatar_split_clause,[],[f5089,f1746,f5190,f1738])). 119.69/119.02 tff(f5089,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:$int,X22:ty] : (some(int,t2tb2(X21)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X22,$sum(X21,-1),X23) = nth1(X22,X21,cons(X22,X24,X23)) | 0 = sK6(tb2t1(nil(int)))) ) | ~spl8_266), 119.69/119.02 inference(superposition,[],[f2415,f287])). 119.69/119.02 tff(f5199,plain,( 119.69/119.02 spl8_412 | spl8_578 | ~spl8_214 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5198,f2410,f1746,f1382,f5183,f3186])). 119.69/119.02 tff(f5198,plain,( 119.69/119.02 ( ! [X19:uni,X17:$int,X20:uni,X18:ty] : (some(int,t2tb2(0)) = some(int,t2tb2(X17)) | nth1(X18,$sum(X17,-1),X19) = nth1(X18,X17,cons(X18,X20,X19)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5088,f2411])). 119.69/119.02 tff(f5088,plain,( 119.69/119.02 ( ! [X19:uni,X17:$int,X20:uni,X18:ty] : (some(int,t2tb2(X17)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X18,$sum(X17,-1),X19) = nth1(X18,X17,cons(X18,X20,X19)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f2415,f1734])). 119.69/119.02 tff(f5197,plain,( 119.69/119.02 spl8_584 | spl8_578 | ~spl8_100 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5193,f2410,f1746,f895,f5183,f5195])). 119.69/119.02 tff(f5193,plain,( 119.69/119.02 ( ! [X14:ty,X15:uni,X13:$int,X16:uni] : (some(int,t2tb2(0)) = some(int,t2tb2(X13)) | nth1(X14,$sum(X13,-1),X15) = nth1(X14,X13,cons(X14,X16,X15)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5087,f2411])). 119.69/119.02 tff(f5087,plain,( 119.69/119.02 ( ! [X14:ty,X15:uni,X13:$int,X16:uni] : (some(int,t2tb2(X13)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X14,$sum(X13,-1),X15) = nth1(X14,X13,cons(X14,X16,X15)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_266)), 119.69/119.02 inference(superposition,[],[f2415,f1857])). 119.69/119.02 tff(f5192,plain,( 119.69/119.02 spl8_580 | spl8_582 | ~spl8_266 | ~spl8_414), 119.69/119.02 inference(avatar_split_clause,[],[f5086,f3189,f1746,f5190,f5187])). 119.69/119.02 tff(f5086,plain,( 119.69/119.02 ( ! [X12:uni,X10:ty,X11:uni,X9:$int] : (some(int,t2tb2(X9)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X10,$sum(X9,-1),X11) = nth1(X10,X9,cons(X10,X12,X11)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK6(tb2t1(nil(int))))))) ) | (~spl8_266 | ~spl8_414)), 119.69/119.02 inference(superposition,[],[f2415,f3190])). 119.69/119.02 tff(f5185,plain,( 119.69/119.02 spl8_576 | spl8_578 | ~spl8_266 | ~spl8_348), 119.69/119.02 inference(avatar_split_clause,[],[f5178,f2410,f1746,f5183,f5180])). 119.69/119.02 tff(f5178,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X3:uni,X1:$int] : (some(int,t2tb2(0)) = some(int,t2tb2(X1)) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) ) | (~spl8_266 | ~spl8_348)), 119.69/119.02 inference(forward_demodulation,[],[f5084,f2411])). 119.69/119.02 tff(f5084,plain,( 119.69/119.02 ( ! [X4:uni,X2:ty,X3:uni,X1:$int] : (some(int,t2tb2(X1)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | nth1(X2,$sum(X1,-1),X3) = nth1(X2,X1,cons(X2,X4,X3)) | some(int,t2tb2(sK6(tb2t1(nil(int))))) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2)))) ) | ~spl8_266), 119.69/119.02 inference(superposition,[],[f2415,f2415])). 119.69/119.02 tff(f5080,plain,( 119.69/119.02 spl8_560 | spl8_574 | spl8_41 | ~spl8_154 | ~spl8_396), 119.69/119.02 inference(avatar_split_clause,[],[f5044,f2891,f1101,f522,f5078,f5052])). 119.69/119.02 tff(f5078,plain,( 119.69/119.02 spl8_574 <=> ! [X21 : uni] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X21)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | nil(int) = X21 | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_574])])). 119.69/119.02 tff(f5044,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X21)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum(length1(int,t2tb1(sK2)),-2),X23) = nth1(X22,$sum(length1(int,t2tb1(sK2)),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.02 inference(evaluation,[],[f5042])). 119.69/119.02 tff(f5042,plain,( 119.69/119.02 ( ! [X24:uni,X23:uni,X21:uni,X22:ty] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X21)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X21)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X21)),cons_proj_21(int,cons_proj_21(int,X21))) = cons_proj_21(int,X21) | nth1(X22,$sum($sum(length1(int,t2tb1(sK2)),-1),-1),X23) = nth1(X22,$sum(length1(int,t2tb1(sK2)),-1),cons(X22,X24,X23)) | nil(int) = X21) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.02 inference(superposition,[],[f2894,f5003])). 119.69/119.02 tff(f5003,plain,( 119.69/119.02 ( ! [X0:ty,X1:uni] : (nth1(X0,length1(int,t2tb1(sK2)),X1) = nth1(X0,$sum(length1(int,t2tb1(sK2)),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | ~spl8_396), 119.69/119.02 inference(superposition,[],[f2892,f260])). 119.69/119.02 tff(f5076,plain,( 119.69/119.02 spl8_570 | spl8_572 | ~spl8_12 | ~spl8_396), 119.69/119.02 inference(avatar_split_clause,[],[f5045,f2891,f751,f5074,f5071])). 119.69/119.02 tff(f5074,plain,( 119.69/119.02 spl8_572 <=> ! [X20 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X20)) | nil(int) = X20 | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | ~$less($sum(length1(int,t2tb1(sK2)),-1),length1(int,cons_proj_21(int,X20))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_572])])). 119.69/119.02 tff(f5045,plain,( 119.69/119.02 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X20)) | ~$less($sum(length1(int,t2tb1(sK2)),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less(length1(int,t2tb1(sK2)),1) | nil(int) = X20) ) | (~spl8_12 | ~spl8_396)), 119.69/119.02 inference(evaluation,[],[f5041])). 119.69/119.02 tff(f5041,plain,( 119.69/119.02 ( ! [X20:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X20)) | ~$less($sum(length1(int,t2tb1(sK2)),-1),length1(int,cons_proj_21(int,X20))) | cons(int,cons_proj_11(int,cons_proj_21(int,X20)),cons_proj_21(int,cons_proj_21(int,X20))) = cons_proj_21(int,X20) | $less($sum(length1(int,t2tb1(sK2)),-1),0) | nil(int) = X20) ) | (~spl8_12 | ~spl8_396)), 119.69/119.02 inference(superposition,[],[f2241,f5003])). 119.69/119.02 tff(f5069,plain,( 119.69/119.02 spl8_560 | spl8_568 | spl8_41 | ~spl8_154 | ~spl8_396), 119.69/119.02 inference(avatar_split_clause,[],[f5046,f2891,f1101,f522,f5067,f5052])). 119.69/119.02 tff(f5067,plain,( 119.69/119.02 spl8_568 <=> ! [X16 : uni] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X16)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | nil(int) = X16 | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))))), 119.69/119.02 introduced(avatar_definition,[new_symbols(naming,[spl8_568])])). 119.69/119.02 tff(f5046,plain,( 119.69/119.02 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X16)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum(length1(int,t2tb1(sK2)),-2),X18) = nth1(X17,$sum(length1(int,t2tb1(sK2)),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.02 inference(evaluation,[],[f5040])). 119.69/119.03 tff(f5040,plain,( 119.69/119.03 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(nth1(int,length1(int,t2tb1(sK2)),X16)) != tb2t(some(int,t2tb2($sum(length1(int,t2tb1(sK2)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X16)),0),cons_proj_21(int,X16))) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(length1(int,t2tb1(sK2)),-1),-1),X18) = nth1(X17,$sum(length1(int,t2tb1(sK2)),-1),cons(X17,X19,X18)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f2063,f5003])). 119.69/119.03 tff(f5065,plain,( 119.69/119.03 spl8_560 | spl8_566 | spl8_41 | ~spl8_154 | ~spl8_396), 119.69/119.03 inference(avatar_split_clause,[],[f5047,f2891,f1101,f522,f5063,f5052])). 119.69/119.03 tff(f5063,plain,( 119.69/119.03 spl8_566 <=> ! [X12 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X12)) | nil(int) = X12 | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(length1(int,t2tb1(sK2)),-1)),cons_proj_21(int,X12))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_566])])). 119.69/119.03 tff(f5047,plain,( 119.69/119.03 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(length1(int,t2tb1(sK2)),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum(length1(int,t2tb1(sK2)),-2),X14) = nth1(X13,$sum(length1(int,t2tb1(sK2)),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(evaluation,[],[f5039])). 119.69/119.03 tff(f5039,plain,( 119.69/119.03 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X12)),$sum(length1(int,t2tb1(sK2)),-1)),cons_proj_21(int,X12))) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(length1(int,t2tb1(sK2)),-1),-1),X14) = nth1(X13,$sum(length1(int,t2tb1(sK2)),-1),cons(X13,X15,X14)) | nil(int) = X12) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f1948,f5003])). 119.69/119.03 tff(f5061,plain,( 119.69/119.03 spl8_560 | spl8_564 | spl8_41 | ~spl8_154 | ~spl8_396), 119.69/119.03 inference(avatar_split_clause,[],[f5048,f2891,f1101,f522,f5059,f5052])). 119.69/119.03 tff(f5059,plain,( 119.69/119.03 spl8_564 <=> ! [X8 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X8)) | nil(int) = X8 | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(length1(int,t2tb1(sK2)),-1)),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_564])])). 119.69/119.03 tff(f5048,plain,( 119.69/119.03 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum(length1(int,t2tb1(sK2)),-2),X10) = nth1(X9,$sum(length1(int,t2tb1(sK2)),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(length1(int,t2tb1(sK2)),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(evaluation,[],[f5038])). 119.69/119.03 tff(f5038,plain,( 119.69/119.03 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X8)) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum(length1(int,t2tb1(sK2)),-1),-1),X10) = nth1(X9,$sum(length1(int,t2tb1(sK2)),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),$sum(length1(int,t2tb1(sK2)),-1)),0) | nil(int) = X8) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f1946,f5003])). 119.69/119.03 tff(f5057,plain,( 119.69/119.03 spl8_560 | spl8_562 | spl8_41 | ~spl8_154 | ~spl8_396), 119.69/119.03 inference(avatar_split_clause,[],[f5049,f2891,f1101,f522,f5055,f5052])). 119.69/119.03 tff(f5055,plain,( 119.69/119.03 spl8_562 <=> ! [X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X4)) | nil(int) = X4 | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(length1(int,t2tb1(sK2)),-1)),$sum(length1(int,t2tb1(sK2)),-1)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_562])])). 119.69/119.03 tff(f5049,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum(length1(int,t2tb1(sK2)),-2),X6) = nth1(X5,$sum(length1(int,t2tb1(sK2)),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(length1(int,t2tb1(sK2)),-1)),$sum(length1(int,t2tb1(sK2)),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(evaluation,[],[f5037])). 119.69/119.03 tff(f5037,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK2)),X4)) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum(length1(int,t2tb1(sK2)),-1),-1),X6) = nth1(X5,$sum(length1(int,t2tb1(sK2)),-1),cons(X5,X7,X6)) | $less(sK7(tb2t1(cons_proj_21(int,X4)),$sum(length1(int,t2tb1(sK2)),-1)),$sum(length1(int,t2tb1(sK2)),-1)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_154 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f1945,f5003])). 119.69/119.03 tff(f5034,plain,( 119.69/119.03 spl8_552 | spl8_558 | ~spl8_12 | ~spl8_396), 119.69/119.03 inference(avatar_split_clause,[],[f5030,f2891,f751,f5032,f5020])). 119.69/119.03 tff(f5030,plain,( 119.69/119.03 ( ! [X43:uni,X44:uni] : (cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),X44) | ~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X44)) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_396)), 119.69/119.03 inference(forward_demodulation,[],[f5029,f273])). 119.69/119.03 tff(f5029,plain,( 119.69/119.03 ( ! [X43:uni,X44:uni] : (~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,X44))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X44)) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_396)), 119.69/119.03 inference(forward_demodulation,[],[f5016,f244])). 119.69/119.03 tff(f5016,plain,( 119.69/119.03 ( ! [X43:uni,X44:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),X44)) | ~$less(length1(int,t2tb1(sK2)),length1(int,cons(int,X43,X44))) | cons(int,X43,X44) = cons(int,cons_proj_11(int,cons(int,X43,X44)),cons_proj_21(int,cons(int,X43,X44))) | $less(length1(int,t2tb1(sK2)),0)) ) | (~spl8_12 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f2241,f2892])). 119.69/119.03 tff(f5028,plain,( 119.69/119.03 spl8_552 | ~spl8_555 | ~spl8_557 | ~spl8_96 | ~spl8_396), 119.69/119.03 inference(avatar_split_clause,[],[f5010,f2891,f1506,f5026,f5023,f5020])). 119.69/119.03 tff(f5023,plain,( 119.69/119.03 spl8_555 <=> ~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_555])])). 119.69/119.03 tff(f5010,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK2)),-1),t2tb1(sK2))) | ~$less(length1(int,t2tb1(sK2)),$sum(1,length1(int,t2tb1(sK2)))) | $less(length1(int,t2tb1(sK2)),0) | (~spl8_96 | ~spl8_396)), 119.69/119.03 inference(superposition,[],[f2171,f2892])). 119.69/119.03 tff(f2171,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(X0,$sum(1,length1(int,t2tb1(sK2)))) | $less(X0,0)) ) | ~spl8_96), 119.69/119.03 inference(forward_demodulation,[],[f2170,f244])). 119.69/119.03 tff(f2170,plain,( 119.69/119.03 ( ! [X0:$int] : (~$less(X0,length1(int,cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,cons(int,t2tb2(0),t2tb1(sK2)))) | $less(X0,0)) ) | ~spl8_96), 119.69/119.03 inference(forward_demodulation,[],[f2169,f234])). 119.69/119.03 tff(f2169,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,cons(int,t2tb2(0),t2tb1(sK2)))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_96), 119.69/119.03 inference(forward_demodulation,[],[f2167,f234])). 119.69/119.03 tff(f2167,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | ~spl8_96), 119.69/119.03 inference(resolution,[],[f1507,f250])). 119.69/119.03 tff(f1507,plain,( 119.69/119.03 no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_96), 119.69/119.03 inference(avatar_component_clause,[],[f1506])). 119.69/119.03 tff(f5000,plain,( 119.69/119.03 spl8_396 | spl8_330 | ~spl8_44 | spl8_149), 119.69/119.03 inference(avatar_split_clause,[],[f4995,f2268,f678,f2348,f2891])). 119.69/119.03 tff(f4995,plain,( 119.69/119.03 ( ! [X6:uni,X4:ty,X5:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum(length1(int,t2tb1(sK2)),-1),X5) = nth1(X4,length1(int,t2tb1(sK2)),cons(X4,X6,X5))) ) | (~spl8_44 | ~spl8_149)), 119.69/119.03 inference(resolution,[],[f2346,f2269])). 119.69/119.03 tff(f2269,plain,( 119.69/119.03 ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | ~spl8_149), 119.69/119.03 inference(avatar_component_clause,[],[f2268])). 119.69/119.03 tff(f4943,plain,( 119.69/119.03 spl8_234 | spl8_546 | ~spl8_50), 119.69/119.03 inference(avatar_split_clause,[],[f4923,f696,f4928,f1603])). 119.69/119.03 tff(f4928,plain,( 119.69/119.03 spl8_546 <=> ! [X9 : uni,X5 : uni,X7 : ty,X8 : uni,X4 : uni,X6 : uni] : (tb2t(some(int,X6)) != tb2t(nth1(int,$sum(sK3,-1),X5)) | nth1(X7,$sum(tb2t2(X6),-1),X8) = nth1(X7,tb2t2(X6),cons(X7,X9,X8)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_546])])). 119.69/119.03 tff(f696,plain,( 119.69/119.03 spl8_50 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | ~zero_at1(X0,sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_50])])). 119.69/119.03 tff(f4923,plain,( 119.69/119.03 ( ! [X30:uni,X28:uni,X33:uni,X31:ty,X29:uni,X32:uni] : (tb2t(some(int,X30)) != tb2t(nth1(int,$sum(sK3,-1),X29)) | ~zero_at1(tb2t1(cons(int,X28,X29)),sK0) | nth1(X31,$sum(tb2t2(X30),-1),X32) = nth1(X31,tb2t2(X30),cons(X31,X33,X32)) | 0 = sK3) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f3031,f287])). 119.69/119.03 tff(f3031,plain,( 119.69/119.03 ( ! [X4:uni,X2:ty,X0:uni,X3:uni,X1:uni] : (tb2t(some(int,X0)) != tb2t(nth1(int,sK3,X1)) | ~zero_at1(tb2t1(X1),sK0) | nth1(X2,$sum(tb2t2(X0),-1),X3) = nth1(X2,tb2t2(X0),cons(X2,X4,X3))) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f1597,f237])). 119.69/119.03 tff(f1597,plain,( 119.69/119.03 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(X0))) != tb2t(nth1(int,sK3,X1)) | ~zero_at1(tb2t1(X1),sK0) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f1096,f287])). 119.69/119.03 tff(f1096,plain,( 119.69/119.03 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,X0)) | ~zero_at1(tb2t1(X0),sK0)) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f697,f234])). 119.69/119.03 tff(f697,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | ~zero_at1(X0,sK0)) ) | ~spl8_50), 119.69/119.03 inference(avatar_component_clause,[],[f696])). 119.69/119.03 tff(f4942,plain,( 119.69/119.03 spl8_424 | spl8_546 | ~spl8_50 | ~spl8_214), 119.69/119.03 inference(avatar_split_clause,[],[f4922,f1382,f696,f4928,f3275])). 119.69/119.03 tff(f3275,plain,( 119.69/119.03 spl8_424 <=> tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK3),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_424])])). 119.69/119.03 tff(f4922,plain,( 119.69/119.03 ( ! [X26:uni,X24:uni,X23:uni,X27:uni,X25:ty,X22:uni] : (tb2t(some(int,X24)) != tb2t(nth1(int,$sum(sK3,-1),X23)) | ~zero_at1(tb2t1(cons(int,X22,X23)),sK0) | nth1(X25,$sum(tb2t2(X24),-1),X26) = nth1(X25,tb2t2(X24),cons(X25,X27,X26)) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_50 | ~spl8_214)), 119.69/119.03 inference(superposition,[],[f3031,f1734])). 119.69/119.03 tff(f4941,plain,( 119.69/119.03 spl8_550 | spl8_546 | ~spl8_50 | ~spl8_100), 119.69/119.03 inference(avatar_split_clause,[],[f4921,f895,f696,f4928,f4939])). 119.69/119.03 tff(f4921,plain,( 119.69/119.03 ( ! [X21:uni,X19:ty,X17:uni,X20:uni,X18:uni,X16:uni] : (tb2t(some(int,X18)) != tb2t(nth1(int,$sum(sK3,-1),X17)) | ~zero_at1(tb2t1(cons(int,X16,X17)),sK0) | nth1(X19,$sum(tb2t2(X18),-1),X20) = nth1(X19,tb2t2(X18),cons(X19,X21,X20)) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK3),t2tb1(sK2)))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_50 | ~spl8_100)), 119.69/119.03 inference(superposition,[],[f3031,f1857])). 119.69/119.03 tff(f4937,plain,( 119.69/119.03 spl8_548 | spl8_546 | ~spl8_50 | ~spl8_414), 119.69/119.03 inference(avatar_split_clause,[],[f4920,f3189,f696,f4928,f4935])). 119.69/119.03 tff(f4920,plain,( 119.69/119.03 ( ! [X14:uni,X12:uni,X10:uni,X15:uni,X13:ty,X11:uni] : (tb2t(some(int,X12)) != tb2t(nth1(int,$sum(sK3,-1),X11)) | ~zero_at1(tb2t1(cons(int,X10,X11)),sK0) | nth1(X13,$sum(tb2t2(X12),-1),X14) = nth1(X13,tb2t2(X12),cons(X13,X15,X14)) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(sK3)))) ) | (~spl8_50 | ~spl8_414)), 119.69/119.03 inference(superposition,[],[f3031,f3190])). 119.69/119.03 tff(f4933,plain,( 119.69/119.03 spl8_546 | spl8_430 | ~spl8_36 | ~spl8_50 | ~spl8_144 | spl8_379), 119.69/119.03 inference(avatar_split_clause,[],[f4926,f2674,f1061,f696,f482,f4931,f4928])). 119.69/119.03 tff(f4931,plain,( 119.69/119.03 spl8_430 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_430])])). 119.69/119.03 tff(f4926,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2))) | tb2t(some(int,X6)) != tb2t(nth1(int,$sum(sK3,-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0) | nth1(X7,$sum(tb2t2(X6),-1),X8) = nth1(X7,tb2t2(X6),cons(X7,X9,X8))) ) | (~spl8_36 | ~spl8_50 | ~spl8_144 | ~spl8_379)), 119.69/119.03 inference(forward_demodulation,[],[f4919,f3654])). 119.69/119.03 tff(f3654,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK3,-1),X1) = nth1(X0,sK3,cons(X0,X2,X1))) ) | (~spl8_36 | ~spl8_144 | ~spl8_379)), 119.69/119.03 inference(resolution,[],[f2675,f1493])). 119.69/119.03 tff(f1493,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | (~spl8_36 | ~spl8_144)), 119.69/119.03 inference(forward_demodulation,[],[f1484,f483])). 119.69/119.03 tff(f483,plain,( 119.69/119.03 0 = sK1 | ~spl8_36), 119.69/119.03 inference(avatar_component_clause,[],[f482])). 119.69/119.03 tff(f4919,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,X6)) != tb2t(nth1(int,$sum(sK3,-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0) | nth1(X7,$sum(tb2t2(X6),-1),X8) = nth1(X7,tb2t2(X6),cons(X7,X9,X8)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK3,cons(int,t2tb2(0),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_50 | ~spl8_144)), 119.69/119.03 inference(superposition,[],[f3031,f2669])). 119.69/119.03 tff(f2669,plain,( 119.69/119.03 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X11,cons(int,t2tb2(0),t2tb1(sK2)))) | nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12))) ) | (~spl8_36 | ~spl8_144)), 119.69/119.03 inference(forward_demodulation,[],[f2657,f234])). 119.69/119.03 tff(f2657,plain,( 119.69/119.03 ( ! [X12:uni,X10:ty,X13:uni,X11:$int] : (nth1(X10,$sum(X11,-1),X12) = nth1(X10,X11,cons(X10,X13,X12)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X11,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))))))) ) | (~spl8_36 | ~spl8_144)), 119.69/119.03 inference(resolution,[],[f1493,f268])). 119.69/119.03 tff(f4876,plain,( 119.69/119.03 spl8_528 | spl8_544 | ~spl8_36 | ~spl8_144 | ~spl8_406), 119.69/119.03 inference(avatar_split_clause,[],[f4852,f2983,f1061,f482,f4874,f4813])). 119.69/119.03 tff(f4813,plain,( 119.69/119.03 spl8_528 <=> ! [X42 : uni,X41 : ty,X43 : uni] : nth1(X41,$sum(sK3,-3),X42) = nth1(X41,$sum(sK3,-2),cons(X41,X43,X42))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_528])])). 119.69/119.03 tff(f4874,plain,( 119.69/119.03 spl8_544 <=> ! [X3 : uni,X4 : uni] : ~zero_at1(tb2t1(cons(int,X3,cons(int,X4,cons(int,t2tb2(0),t2tb1(sK2))))),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_544])])). 119.69/119.03 tff(f2983,plain,( 119.69/119.03 spl8_406 <=> ! [X1 : uni,X3 : uni,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_406])])). 119.69/119.03 tff(f4852,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty,X3:uni] : (~zero_at1(tb2t1(cons(int,X3,cons(int,X4,cons(int,t2tb2(0),t2tb1(sK2))))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X5,$sum(sK3,-3),X6) = nth1(X5,$sum(sK3,-2),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_144 | ~spl8_406)), 119.69/119.03 inference(evaluation,[],[f4851])). 119.69/119.03 tff(f4851,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty,X3:uni] : (~zero_at1(tb2t1(cons(int,X3,cons(int,X4,cons(int,t2tb2(0),t2tb1(sK2))))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X5,$sum($sum(sK3,-2),-1),X6) = nth1(X5,$sum(sK3,-2),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_144 | ~spl8_406)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4850])). 119.69/119.03 tff(f4850,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X4,cons(int,t2tb2(0),t2tb1(sK2))))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X5,$sum($sum(sK3,-2),-1),X6) = nth1(X5,$sum(sK3,-2),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_144 | ~spl8_406)), 119.69/119.03 inference(superposition,[],[f2984,f2669])). 119.69/119.03 tff(f2984,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_406), 119.69/119.03 inference(avatar_component_clause,[],[f2983])). 119.69/119.03 tff(f4872,plain,( 119.69/119.03 spl8_480 | spl8_540 | ~spl8_406), 119.69/119.03 inference(avatar_split_clause,[],[f4854,f2983,f4863,f4122])). 119.69/119.03 tff(f4122,plain,( 119.69/119.03 spl8_480 <=> sK3 = 2), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_480])])). 119.69/119.03 tff(f4863,plain,( 119.69/119.03 spl8_540 <=> ! [X3 : uni,X5 : uni,X2 : uni,X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_540])])). 119.69/119.03 tff(f4854,plain,( 119.69/119.03 ( ! [X21:uni,X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X19)) | ~zero_at1(tb2t1(cons(int,X20,cons(int,X21,cons(int,X18,X19)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | sK3 = 2) ) | ~spl8_406), 119.69/119.03 inference(evaluation,[],[f4848])). 119.69/119.03 tff(f4848,plain,( 119.69/119.03 ( ! [X21:uni,X19:uni,X20:uni,X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X19)) | ~zero_at1(tb2t1(cons(int,X20,cons(int,X21,cons(int,X18,X19)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 0 = $sum(sK3,-2)) ) | ~spl8_406), 119.69/119.03 inference(superposition,[],[f2984,f287])). 119.69/119.03 tff(f4871,plain,( 119.69/119.03 spl8_478 | spl8_540 | ~spl8_214 | ~spl8_406), 119.69/119.03 inference(avatar_split_clause,[],[f4855,f2983,f1382,f4863,f4118])). 119.69/119.03 tff(f4118,plain,( 119.69/119.03 spl8_478 <=> tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_478])])). 119.69/119.03 tff(f4855,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X15)) | ~zero_at1(tb2t1(cons(int,X16,cons(int,X17,cons(int,X14,X15)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_406)), 119.69/119.03 inference(evaluation,[],[f4847])). 119.69/119.03 tff(f4847,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X15)) | ~zero_at1(tb2t1(cons(int,X16,cons(int,X17,cons(int,X14,X15)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_406)), 119.69/119.03 inference(superposition,[],[f2984,f1734])). 119.69/119.03 tff(f4870,plain,( 119.69/119.03 spl8_474 | spl8_540 | ~spl8_100 | ~spl8_406), 119.69/119.03 inference(avatar_split_clause,[],[f4856,f2983,f895,f4863,f4111])). 119.69/119.03 tff(f4111,plain,( 119.69/119.03 spl8_474 <=> tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_474])])). 119.69/119.03 tff(f4856,plain,( 119.69/119.03 ( ! [X12:uni,X10:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X13,cons(int,X10,X11)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_406)), 119.69/119.03 inference(evaluation,[],[f4846])). 119.69/119.03 tff(f4846,plain,( 119.69/119.03 ( ! [X12:uni,X10:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X13,cons(int,X10,X11)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_406)), 119.69/119.03 inference(superposition,[],[f2984,f1857])). 119.69/119.03 tff(f4869,plain,( 119.69/119.03 spl8_542 | spl8_540 | ~spl8_406 | ~spl8_414), 119.69/119.03 inference(avatar_split_clause,[],[f4857,f3189,f2983,f4863,f4867])). 119.69/119.03 tff(f4867,plain,( 119.69/119.03 spl8_542 <=> tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_542])])). 119.69/119.03 tff(f4857,plain,( 119.69/119.03 ( ! [X6:uni,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X7)) | ~zero_at1(tb2t1(cons(int,X8,cons(int,X9,cons(int,X6,X7)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-2))))) ) | (~spl8_406 | ~spl8_414)), 119.69/119.03 inference(evaluation,[],[f4845])). 119.69/119.03 tff(f4845,plain,( 119.69/119.03 ( ! [X6:uni,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X7)) | ~zero_at1(tb2t1(cons(int,X8,cons(int,X9,cons(int,X6,X7)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2($sum(sK3,-2))))) ) | (~spl8_406 | ~spl8_414)), 119.69/119.03 inference(superposition,[],[f2984,f3190])). 119.69/119.03 tff(f4865,plain,( 119.69/119.03 spl8_538 | spl8_540 | ~spl8_36 | ~spl8_144 | ~spl8_406), 119.69/119.03 inference(avatar_split_clause,[],[f4858,f2983,f1061,f482,f4863,f4860])). 119.69/119.03 tff(f4860,plain,( 119.69/119.03 spl8_538 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,-2),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_538])])). 119.69/119.03 tff(f4858,plain,( 119.69/119.03 ( ! [X4:uni,X2:uni,X5:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,-2),cons(int,t2tb2(0),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_144 | ~spl8_406)), 119.69/119.03 inference(evaluation,[],[f4844])). 119.69/119.03 tff(f4844,plain,( 119.69/119.03 ( ! [X4:uni,X2:uni,X5:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,-2),cons(int,t2tb2(0),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_144 | ~spl8_406)), 119.69/119.03 inference(superposition,[],[f2984,f2669])). 119.69/119.03 tff(f4830,plain,( 119.69/119.03 spl8_532 | spl8_536 | ~spl8_36 | spl8_141 | ~spl8_144), 119.69/119.03 inference(avatar_split_clause,[],[f4774,f1061,f1038,f482,f4828,f4821])). 119.69/119.03 tff(f4828,plain,( 119.69/119.03 spl8_536 <=> ! [X67 : $int] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X67) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X67))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_536])])). 119.69/119.03 tff(f4774,plain,( 119.69/119.03 ( ! [X70:uni,X68:ty,X69:uni,X67:$int] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X67) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X67) | nth1(X68,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X69) = nth1(X68,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X68,X70,X69))) ) | (~spl8_36 | ~spl8_141 | ~spl8_144)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4707])). 119.69/119.03 tff(f4707,plain,( 119.69/119.03 ( ! [X70:uni,X68:ty,X69:uni,X67:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X67) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X67) | nth1(X68,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X69) = nth1(X68,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X68,X70,X69))) ) | (~spl8_36 | ~spl8_141 | ~spl8_144)), 119.69/119.03 inference(superposition,[],[f2060,f2669])). 119.69/119.03 tff(f2060,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f2059,f483])). 119.69/119.03 tff(f2059,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f2051,f483])). 119.69/119.03 tff(f2051,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_141), 119.69/119.03 inference(superposition,[],[f1054,f234])). 119.69/119.03 tff(f1054,plain,( 119.69/119.03 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),t2tb1(X2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),X3) | ~zero_at1(X2,X3)) ) | ~spl8_141), 119.69/119.03 inference(resolution,[],[f1039,f269])). 119.69/119.03 tff(f1039,plain,( 119.69/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | ~spl8_141), 119.69/119.03 inference(avatar_component_clause,[],[f1038])). 119.69/119.03 tff(f4826,plain,( 119.69/119.03 spl8_532 | ~spl8_97 | ~spl8_535 | ~spl8_36 | spl8_141 | ~spl8_144), 119.69/119.03 inference(avatar_split_clause,[],[f4819,f1061,f1038,f482,f4824,f878,f4821])). 119.69/119.03 tff(f4824,plain,( 119.69/119.03 spl8_535 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),$sum(1,length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_535])])). 119.69/119.03 tff(f4819,plain,( 119.69/119.03 ( ! [X66:uni,X64:ty,X65:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),$sum(1,length1(int,t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | nth1(X64,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X65) = nth1(X64,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X64,X66,X65))) ) | (~spl8_36 | ~spl8_141 | ~spl8_144)), 119.69/119.03 inference(forward_demodulation,[],[f4775,f244])). 119.69/119.03 tff(f4775,plain,( 119.69/119.03 ( ! [X66:uni,X64:ty,X65:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),length1(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | nth1(X64,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X65) = nth1(X64,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X64,X66,X65))) ) | (~spl8_36 | ~spl8_141 | ~spl8_144)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4706])). 119.69/119.03 tff(f4706,plain,( 119.69/119.03 ( ! [X66:uni,X64:ty,X65:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),length1(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | nth1(X64,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X65) = nth1(X64,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),cons(X64,X66,X65))) ) | (~spl8_36 | ~spl8_141 | ~spl8_144)), 119.69/119.03 inference(superposition,[],[f2082,f2669])). 119.69/119.03 tff(f2082,plain,( 119.69/119.03 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),length1(int,X0)) | ~no_zero1(tb2t1(X0))) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f2081,f483])). 119.69/119.03 tff(f2081,plain,( 119.69/119.03 ( ! [X0:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),length1(int,X0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X0)) | ~no_zero1(tb2t1(X0))) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f2080,f234])). 119.69/119.03 tff(f2080,plain,( 119.69/119.03 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f2072,f483])). 119.69/119.03 tff(f2072,plain,( 119.69/119.03 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),X0)) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),length1(int,t2tb1(tb2t1(X0)))) | ~no_zero1(tb2t1(X0))) ) | ~spl8_141), 119.69/119.03 inference(superposition,[],[f1055,f234])). 119.69/119.03 tff(f1055,plain,( 119.69/119.03 ( ! [X4:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),t2tb1(X4))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),length1(int,t2tb1(X4))) | ~no_zero1(X4)) ) | ~spl8_141), 119.69/119.03 inference(resolution,[],[f1039,f250])). 119.69/119.03 tff(f4818,plain,( 119.69/119.03 spl8_528 | spl8_530 | ~spl8_36 | ~spl8_144 | ~spl8_354), 119.69/119.03 inference(avatar_split_clause,[],[f4779,f2523,f1061,f482,f4816,f4813])). 119.69/119.03 tff(f4816,plain,( 119.69/119.03 spl8_530 <=> ! [X40 : uni,X39 : uni] : ~zero_at1(tb2t1(cons(int,X39,cons(int,X40,cons(int,t2tb2(0),t2tb1(sK2))))),sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_530])])). 119.69/119.03 tff(f2523,plain,( 119.69/119.03 spl8_354 <=> ! [X1 : uni,X3 : uni,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_354])])). 119.69/119.03 tff(f4779,plain,( 119.69/119.03 ( ! [X39:uni,X43:uni,X41:ty,X42:uni,X40:uni] : (~zero_at1(tb2t1(cons(int,X39,cons(int,X40,cons(int,t2tb2(0),t2tb1(sK2))))),sK0) | nth1(X41,$sum(sK3,-3),X42) = nth1(X41,$sum(sK3,-2),cons(X41,X43,X42))) ) | (~spl8_36 | ~spl8_144 | ~spl8_354)), 119.69/119.03 inference(evaluation,[],[f4778])). 119.69/119.03 tff(f4778,plain,( 119.69/119.03 ( ! [X39:uni,X43:uni,X41:ty,X42:uni,X40:uni] : (~zero_at1(tb2t1(cons(int,X39,cons(int,X40,cons(int,t2tb2(0),t2tb1(sK2))))),sK0) | nth1(X41,$sum($sum(sK3,-2),-1),X42) = nth1(X41,$sum(sK3,-2),cons(X41,X43,X42))) ) | (~spl8_36 | ~spl8_144 | ~spl8_354)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4701])). 119.69/119.03 tff(f4701,plain,( 119.69/119.03 ( ! [X39:uni,X43:uni,X41:ty,X42:uni,X40:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X39,cons(int,X40,cons(int,t2tb2(0),t2tb1(sK2))))),sK0) | nth1(X41,$sum($sum(sK3,-2),-1),X42) = nth1(X41,$sum(sK3,-2),cons(X41,X43,X42))) ) | (~spl8_36 | ~spl8_144 | ~spl8_354)), 119.69/119.03 inference(superposition,[],[f2524,f2669])). 119.69/119.03 tff(f2524,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),sK0)) ) | ~spl8_354), 119.69/119.03 inference(avatar_component_clause,[],[f2523])). 119.69/119.03 tff(f4811,plain,( 119.69/119.03 spl8_522 | spl8_526 | ~spl8_36 | ~spl8_144 | ~spl8_236), 119.69/119.03 inference(avatar_split_clause,[],[f4781,f1606,f1061,f482,f4809,f4802])). 119.69/119.03 tff(f4802,plain,( 119.69/119.03 spl8_522 <=> ! [X32 : ty,X34 : uni,X33 : uni] : nth1(X32,$sum(sK3,-2),X33) = nth1(X32,$sum(sK3,-1),cons(X32,X34,X33))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_522])])). 119.69/119.03 tff(f4809,plain,( 119.69/119.03 spl8_526 <=> ! [X35 : uni] : ~zero_at1(tb2t1(cons(int,X35,cons(int,t2tb2(0),t2tb1(sK2)))),sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_526])])). 119.69/119.03 tff(f4781,plain,( 119.69/119.03 ( ! [X37:uni,X35:uni,X38:uni,X36:ty] : (~zero_at1(tb2t1(cons(int,X35,cons(int,t2tb2(0),t2tb1(sK2)))),sK0) | nth1(X36,$sum(sK3,-2),X37) = nth1(X36,$sum(sK3,-1),cons(X36,X38,X37))) ) | (~spl8_36 | ~spl8_144 | ~spl8_236)), 119.69/119.03 inference(evaluation,[],[f4780])). 119.69/119.03 tff(f4780,plain,( 119.69/119.03 ( ! [X37:uni,X35:uni,X38:uni,X36:ty] : (~zero_at1(tb2t1(cons(int,X35,cons(int,t2tb2(0),t2tb1(sK2)))),sK0) | nth1(X36,$sum($sum(sK3,-1),-1),X37) = nth1(X36,$sum(sK3,-1),cons(X36,X38,X37))) ) | (~spl8_36 | ~spl8_144 | ~spl8_236)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4700])). 119.69/119.03 tff(f4700,plain,( 119.69/119.03 ( ! [X37:uni,X35:uni,X38:uni,X36:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X35,cons(int,t2tb2(0),t2tb1(sK2)))),sK0) | nth1(X36,$sum($sum(sK3,-1),-1),X37) = nth1(X36,$sum(sK3,-1),cons(X36,X38,X37))) ) | (~spl8_36 | ~spl8_144 | ~spl8_236)), 119.69/119.03 inference(superposition,[],[f1607,f2669])). 119.69/119.03 tff(f4807,plain,( 119.69/119.03 spl8_522 | spl8_524 | ~spl8_36 | ~spl8_144 | ~spl8_288), 119.69/119.03 inference(avatar_split_clause,[],[f4783,f1850,f1061,f482,f4805,f4802])). 119.69/119.03 tff(f4805,plain,( 119.69/119.03 spl8_524 <=> ! [X31 : uni] : ~zero_at1(tb2t1(cons(int,X31,cons(int,t2tb2(0),t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_524])])). 119.69/119.03 tff(f4783,plain,( 119.69/119.03 ( ! [X33:uni,X31:uni,X34:uni,X32:ty] : (~zero_at1(tb2t1(cons(int,X31,cons(int,t2tb2(0),t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X32,$sum(sK3,-2),X33) = nth1(X32,$sum(sK3,-1),cons(X32,X34,X33))) ) | (~spl8_36 | ~spl8_144 | ~spl8_288)), 119.69/119.03 inference(evaluation,[],[f4782])). 119.69/119.03 tff(f4782,plain,( 119.69/119.03 ( ! [X33:uni,X31:uni,X34:uni,X32:ty] : (~zero_at1(tb2t1(cons(int,X31,cons(int,t2tb2(0),t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X32,$sum($sum(sK3,-1),-1),X33) = nth1(X32,$sum(sK3,-1),cons(X32,X34,X33))) ) | (~spl8_36 | ~spl8_144 | ~spl8_288)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4699])). 119.69/119.03 tff(f4699,plain,( 119.69/119.03 ( ! [X33:uni,X31:uni,X34:uni,X32:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X31,cons(int,t2tb2(0),t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X32,$sum($sum(sK3,-1),-1),X33) = nth1(X32,$sum(sK3,-1),cons(X32,X34,X33))) ) | (~spl8_36 | ~spl8_144 | ~spl8_288)), 119.69/119.03 inference(superposition,[],[f1851,f2669])). 119.69/119.03 tff(f4627,plain,( 119.69/119.03 spl8_518 | spl8_520 | ~spl8_12 | ~spl8_62 | spl8_141), 119.69/119.03 inference(avatar_split_clause,[],[f4564,f1038,f759,f751,f4625,f4622])). 119.69/119.03 tff(f4564,plain,( 119.69/119.03 ( ! [X18:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X18)) | ~$less($sum($sum(sK3,$uminus(sK0)),-1),length1(int,cons_proj_21(int,X18))) | cons(int,cons_proj_11(int,cons_proj_21(int,X18)),cons_proj_21(int,cons_proj_21(int,X18))) = cons_proj_21(int,X18) | $less($sum($sum(sK3,$uminus(sK0)),-1),0) | nil(int) = X18) ) | (~spl8_12 | ~spl8_62 | ~spl8_141)), 119.69/119.03 inference(superposition,[],[f2241,f2526])). 119.69/119.03 tff(f2526,plain,( 119.69/119.03 ( ! [X0:ty,X1:uni] : (nth1(X0,$sum(sK3,$uminus(sK0)),X1) = nth1(X0,$sum($sum(sK3,$uminus(sK0)),-1),cons_proj_21(X0,X1)) | nil(X0) = X1) ) | (~spl8_62 | ~spl8_141)), 119.69/119.03 inference(superposition,[],[f1893,f260])). 119.69/119.03 tff(f1893,plain,( 119.69/119.03 ( ! [X6:uni,X4:ty,X5:uni] : (nth1(X4,$sum($sum(sK3,$uminus(sK0)),-1),X5) = nth1(X4,$sum(sK3,$uminus(sK0)),cons(X4,X6,X5))) ) | (~spl8_62 | ~spl8_141)), 119.69/119.03 inference(resolution,[],[f1057,f760])). 119.69/119.03 tff(f1057,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X0),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_141), 119.69/119.03 inference(superposition,[],[f1039,f287])). 119.69/119.03 tff(f4620,plain,( 119.69/119.03 spl8_514 | spl8_516 | ~spl8_12 | ~spl8_62 | spl8_141), 119.69/119.03 inference(avatar_split_clause,[],[f4613,f1038,f759,f751,f4618,f4615])). 119.69/119.03 tff(f4613,plain,( 119.69/119.03 ( ! [X17:uni,X16:uni] : (cons(int,X16,X17) = cons(int,cons_proj_11(int,cons(int,X16,X17)),X17) | ~$less($sum(sK3,$uminus(sK0)),$sum(1,length1(int,X17))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X17)) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f4612,f273])). 119.69/119.03 tff(f4612,plain,( 119.69/119.03 ( ! [X17:uni,X16:uni] : (~$less($sum(sK3,$uminus(sK0)),$sum(1,length1(int,X17))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X17)) | cons(int,X16,X17) = cons(int,cons_proj_11(int,cons(int,X16,X17)),cons_proj_21(int,cons(int,X16,X17))) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f4563,f244])). 119.69/119.03 tff(f4563,plain,( 119.69/119.03 ( ! [X17:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),X17)) | ~$less($sum(sK3,$uminus(sK0)),length1(int,cons(int,X16,X17))) | cons(int,X16,X17) = cons(int,cons_proj_11(int,cons(int,X16,X17)),cons_proj_21(int,cons(int,X16,X17))) | $less($sum(sK3,$uminus(sK0)),0)) ) | (~spl8_12 | ~spl8_62 | ~spl8_141)), 119.69/119.03 inference(superposition,[],[f2241,f1893])). 119.69/119.03 tff(f4499,plain,( 119.69/119.03 ~spl8_511 | spl8_512 | spl8_396 | ~spl8_26 | ~spl8_118), 119.69/119.03 inference(avatar_split_clause,[],[f4481,f1586,f367,f2891,f4497,f4494])). 119.69/119.03 tff(f4497,plain,( 119.69/119.03 spl8_512 <=> $less(sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_512])])). 119.69/119.03 tff(f4481,plain,( 119.69/119.03 ( ! [X21:uni,X19:ty,X20:uni] : (nth1(X19,$sum(length1(int,t2tb1(sK2)),-1),X20) = nth1(X19,length1(int,t2tb1(sK2)),cons(X19,X21,X20)) | $less(sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~zero_at1(sK2,sK7(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2))),$sum(sK3,$uminus(sK0))))) ) | (~spl8_26 | ~spl8_118)), 119.69/119.03 inference(resolution,[],[f2319,f1456])). 119.69/119.03 tff(f1456,plain,( 119.69/119.03 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK2))) | $less(X0,0) | ~zero_at1(sK2,X0)) ) | ~spl8_26), 119.69/119.03 inference(trivial_inequality_removal,[],[f1451])). 119.69/119.03 tff(f1451,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(sK2))) | ~zero_at1(sK2,X0)) ) | ~spl8_26), 119.69/119.03 inference(superposition,[],[f1313,f268])). 119.69/119.03 tff(f1313,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(sK2)))) ) | ~spl8_26), 119.69/119.03 inference(resolution,[],[f368,f250])). 119.69/119.03 tff(f368,plain,( 119.69/119.03 no_zero1(sK2) | ~spl8_26), 119.69/119.03 inference(avatar_component_clause,[],[f367])). 119.69/119.03 tff(f4443,plain,( 119.69/119.03 ~spl8_509 | ~spl8_96), 119.69/119.03 inference(avatar_split_clause,[],[f4436,f1506,f4441])). 119.69/119.03 tff(f4441,plain,( 119.69/119.03 spl8_509 <=> ~$less(-1,length1(int,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_509])])). 119.69/119.03 tff(f4436,plain,( 119.69/119.03 ~$less(-1,length1(int,t2tb1(sK2))) | ~spl8_96), 119.69/119.03 inference(evaluation,[],[f4435])). 119.69/119.03 tff(f4435,plain,( 119.69/119.03 ~$less(0,$sum(1,length1(int,t2tb1(sK2)))) | $less(0,0) | ~spl8_96), 119.69/119.03 inference(trivial_inequality_removal,[],[f4421])). 119.69/119.03 tff(f4421,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(0,$sum(1,length1(int,t2tb1(sK2)))) | $less(0,0) | ~spl8_96), 119.69/119.03 inference(superposition,[],[f2171,f285])). 119.69/119.03 tff(f4386,plain,( 119.69/119.03 spl8_440 | spl8_506 | ~spl8_436), 119.69/119.03 inference(avatar_split_clause,[],[f4378,f3689,f4384,f4381])). 119.69/119.03 tff(f4381,plain,( 119.69/119.03 spl8_440 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_440])])). 119.69/119.03 tff(f4384,plain,( 119.69/119.03 spl8_506 <=> ! [X3 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),t2tb1(X3))) | ~zero_at1(X3,sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_506])])). 119.69/119.03 tff(f3689,plain,( 119.69/119.03 spl8_436 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_436])])). 119.69/119.03 tff(f4378,plain,( 119.69/119.03 ( ! [X3:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),t2tb1(X3))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0) | ~zero_at1(X3,sK0)) ) | ~spl8_436), 119.69/119.03 inference(resolution,[],[f3690,f269])). 119.69/119.03 tff(f3690,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),sK0) | ~spl8_436), 119.69/119.03 inference(avatar_component_clause,[],[f3689])). 119.69/119.03 tff(f4334,plain,( 119.69/119.03 spl8_330 | spl8_504 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f4330,f1741,f1101,f522,f4332,f2348])). 119.69/119.03 tff(f4332,plain,( 119.69/119.03 spl8_504 <=> ! [X22 : uni,X25 : uni,X23 : ty,X24 : uni] : (~$less(sK7(sK2,$sum(sK6(tb2t1(X22)),-1)),0) | cons(int,cons_proj_11(int,X22),cons_proj_21(int,X22)) = X22 | nth1(X23,$sum(sK6(tb2t1(X22)),-2),X24) = nth1(X23,$sum(sK6(tb2t1(X22)),-1),cons(X23,X25,X24)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_504])])). 119.69/119.03 tff(f4330,plain,( 119.69/119.03 ( ! [X24:uni,X23:ty,X25:uni,X22:uni] : (~$less(sK7(sK2,$sum(sK6(tb2t1(X22)),-1)),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X23,$sum(sK6(tb2t1(X22)),-2),X24) = nth1(X23,$sum(sK6(tb2t1(X22)),-1),cons(X23,X25,X24)) | cons(int,cons_proj_11(int,X22),cons_proj_21(int,X22)) = X22) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f4309,f236])). 119.69/119.03 tff(f4309,plain,( 119.69/119.03 ( ! [X24:uni,X23:ty,X25:uni,X22:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X23,$sum(sK6(tb2t1(X22)),-2),X24) = nth1(X23,$sum(sK6(tb2t1(X22)),-1),cons(X23,X25,X24)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X22)),-1)),0) | cons(int,cons_proj_11(int,X22),cons_proj_21(int,X22)) = X22) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f4308])). 119.69/119.03 tff(f4308,plain,( 119.69/119.03 ( ! [X24:uni,X23:ty,X25:uni,X22:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X23,$sum($sum(sK6(tb2t1(X22)),-1),-1),X24) = nth1(X23,$sum(sK6(tb2t1(X22)),-1),cons(X23,X25,X24)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X22)),-1)),0) | cons(int,cons_proj_11(int,X22),cons_proj_21(int,X22)) = X22) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4291])). 119.69/119.03 tff(f4291,plain,( 119.69/119.03 ( ! [X24:uni,X23:ty,X25:uni,X22:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X23,$sum($sum(sK6(tb2t1(X22)),-1),-1),X24) = nth1(X23,$sum(sK6(tb2t1(X22)),-1),cons(X23,X25,X24)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X22)),-1)),0) | cons(int,cons_proj_11(int,X22),cons_proj_21(int,X22)) = X22) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1946,f2355])). 119.69/119.03 tff(f2355,plain,( 119.69/119.03 ( ! [X1:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(X1)),-1),t2tb1(sK2))) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f1742,f260])). 119.69/119.03 tff(f4329,plain,( 119.69/119.03 spl8_330 | spl8_502 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f4325,f1741,f1101,f522,f4327,f2348])). 119.69/119.03 tff(f4327,plain,( 119.69/119.03 spl8_502 <=> ! [X16 : uni,X15 : ty,X17 : uni,X14 : uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(X14)),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,X14),cons_proj_21(int,X14)) = X14 | nth1(X15,$sum(sK6(tb2t1(X14)),-2),X16) = nth1(X15,$sum(sK6(tb2t1(X14)),-1),cons(X15,X17,X16)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_502])])). 119.69/119.03 tff(f4325,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(X14)),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X15,$sum(sK6(tb2t1(X14)),-2),X16) = nth1(X15,$sum(sK6(tb2t1(X14)),-1),cons(X15,X17,X16)) | cons(int,cons_proj_11(int,X14),cons_proj_21(int,X14)) = X14) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f4312,f236])). 119.69/119.03 tff(f4312,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X14)),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X15,$sum(sK6(tb2t1(X14)),-2),X16) = nth1(X15,$sum(sK6(tb2t1(X14)),-1),cons(X15,X17,X16)) | cons(int,cons_proj_11(int,X14),cons_proj_21(int,X14)) = X14) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f4311])). 119.69/119.03 tff(f4311,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X14)),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X15,$sum($sum(sK6(tb2t1(X14)),-1),-1),X16) = nth1(X15,$sum(sK6(tb2t1(X14)),-1),cons(X15,X17,X16)) | cons(int,cons_proj_11(int,X14),cons_proj_21(int,X14)) = X14) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f4289])). 119.69/119.03 tff(f4289,plain,( 119.69/119.03 ( ! [X14:uni,X17:uni,X15:ty,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(X14)),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X15,$sum($sum(sK6(tb2t1(X14)),-1),-1),X16) = nth1(X15,$sum(sK6(tb2t1(X14)),-1),cons(X15,X17,X16)) | cons(int,cons_proj_11(int,X14),cons_proj_21(int,X14)) = X14) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1948,f2355])). 119.69/119.03 tff(f4273,plain,( 119.69/119.03 spl8_330 | spl8_500 | spl8_41 | ~spl8_154 | ~spl8_274), 119.69/119.03 inference(avatar_split_clause,[],[f4269,f1801,f1101,f522,f4271,f2348])). 119.69/119.03 tff(f4271,plain,( 119.69/119.03 spl8_500 <=> ! [X1 : $int,X3 : uni,X5 : uni,X0 : ty,X2 : uni,X4 : ty,X6 : uni] : (nth1(X0,$sum(X1,-1),X2) = nth1(X0,X1,cons(X0,X3,X2)) | nth1(X4,$sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-2),X5) = nth1(X4,$sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-1),cons(X4,X6,X5)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_500])])). 119.69/119.03 tff(f4269,plain,( 119.69/119.03 ( ! [X6:uni,X4:ty,X2:uni,X0:ty,X5:uni,X3:uni,X1:$int] : (nth1(X0,$sum(X1,-1),X2) = nth1(X0,X1,cons(X0,X3,X2)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-2),X5) = nth1(X4,$sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_274)), 119.69/119.03 inference(evaluation,[],[f4265])). 119.69/119.03 tff(f4265,plain,( 119.69/119.03 ( ! [X6:uni,X4:ty,X2:uni,X0:ty,X5:uni,X3:uni,X1:$int] : (nth1(X0,$sum(X1,-1),X2) = nth1(X0,X1,cons(X0,X3,X2)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X4,$sum($sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-1),-1),X5) = nth1(X4,$sum(sK6(tb2t1(cons(int,t2tb2(X1),t2tb1(sK2)))),-1),cons(X4,X6,X5))) ) | (~spl8_41 | ~spl8_154 | ~spl8_274)), 119.69/119.03 inference(resolution,[],[f2237,f1614])). 119.69/119.03 tff(f1614,plain,( 119.69/119.03 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:list_int] : (~zero_at1(X1,X0) | cons(int,cons_proj_11(int,t2tb1(X1)),cons_proj_21(int,t2tb1(X1))) = t2tb1(X1) | nth1(X2,$sum(X0,-1),X3) = nth1(X2,X0,cons(X2,X4,X3))) ) | (~spl8_41 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1404,f287])). 119.69/119.03 tff(f1404,plain,( 119.69/119.03 ( ! [X0:list_int] : (~zero_at1(X0,0) | cons(int,cons_proj_11(int,t2tb1(X0)),cons_proj_21(int,t2tb1(X0))) = t2tb1(X0)) ) | (~spl8_41 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f973,f1102])). 119.69/119.03 tff(f973,plain,( 119.69/119.03 ( ! [X0:list_int] : (~zero_at1(X0,$sum(sK0,$uminus(sK0))) | cons(int,cons_proj_11(int,t2tb1(X0)),cons_proj_21(int,t2tb1(X0))) = t2tb1(X0)) ) | ~spl8_41), 119.69/119.03 inference(superposition,[],[f724,f236])). 119.69/119.03 tff(f2237,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),-1)) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_274), 119.69/119.03 inference(superposition,[],[f1802,f287])). 119.69/119.03 tff(f4211,plain,( 119.69/119.03 spl8_432 | spl8_498 | ~spl8_428), 119.69/119.03 inference(avatar_split_clause,[],[f4203,f3662,f4209,f4206])). 119.69/119.03 tff(f4206,plain,( 119.69/119.03 spl8_432 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_432])])). 119.69/119.03 tff(f4209,plain,( 119.69/119.03 spl8_498 <=> ! [X3 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),t2tb1(X3))) | ~zero_at1(X3,sK3))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_498])])). 119.69/119.03 tff(f4203,plain,( 119.69/119.03 ( ! [X3:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),t2tb1(X3))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0) | ~zero_at1(X3,sK3)) ) | ~spl8_428), 119.69/119.03 inference(resolution,[],[f3663,f269])). 119.69/119.03 tff(f4185,plain,( 119.69/119.03 ~spl8_495 | spl8_496 | spl8_396 | ~spl8_26 | ~spl8_90), 119.69/119.03 inference(avatar_split_clause,[],[f4175,f1510,f367,f2891,f4183,f4180])). 119.69/119.03 tff(f4175,plain,( 119.69/119.03 ( ! [X8:uni,X7:ty,X9:uni] : (nth1(X7,$sum(length1(int,t2tb1(sK2)),-1),X8) = nth1(X7,length1(int,t2tb1(sK2)),cons(X7,X9,X8)) | $less(sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))),0) | ~zero_at1(sK2,sK6(tb2t1(cons(int,t2tb2(length1(int,t2tb1(sK2))),t2tb1(sK2)))))) ) | (~spl8_26 | ~spl8_90)), 119.69/119.03 inference(resolution,[],[f2215,f1456])). 119.69/119.03 tff(f2215,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : ($less(sK6(tb2t1(cons(int,t2tb2(X0),t2tb1(sK2)))),X0) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_90), 119.69/119.03 inference(superposition,[],[f1511,f287])). 119.69/119.03 tff(f1511,plain,( 119.69/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | ~spl8_90), 119.69/119.03 inference(avatar_component_clause,[],[f1510])). 119.69/119.03 tff(f4161,plain,( 119.69/119.03 spl8_482 | spl8_492 | spl8_41 | ~spl8_62 | spl8_141 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f4134,f1101,f1038,f759,f522,f4159,f4140])). 119.69/119.03 tff(f4134,plain,( 119.69/119.03 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X16)) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum(sK3,$uminus(sK0)),-2),X18) = nth1(X17,$sum($sum(sK3,$uminus(sK0)),-1),cons(X17,X19,X18)) | $less(sK7(tb2t1(cons_proj_21(int,X16)),$sum($sum(sK3,$uminus(sK0)),-1)),$sum($sum(sK3,$uminus(sK0)),-1)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(evaluation,[],[f4130])). 119.69/119.03 tff(f4130,plain,( 119.69/119.03 ( ! [X19:uni,X17:ty,X18:uni,X16:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X16)) | cons(int,cons_proj_11(int,cons_proj_21(int,X16)),cons_proj_21(int,cons_proj_21(int,X16))) = cons_proj_21(int,X16) | nth1(X17,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X18) = nth1(X17,$sum($sum(sK3,$uminus(sK0)),-1),cons(X17,X19,X18)) | $less(sK7(tb2t1(cons_proj_21(int,X16)),$sum($sum(sK3,$uminus(sK0)),-1)),$sum($sum(sK3,$uminus(sK0)),-1)) | nil(int) = X16) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1945,f2526])). 119.69/119.03 tff(f4157,plain,( 119.69/119.03 spl8_482 | spl8_490 | spl8_41 | ~spl8_62 | spl8_141 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f4135,f1101,f1038,f759,f522,f4155,f4140])). 119.69/119.03 tff(f4135,plain,( 119.69/119.03 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X12)) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum(sK3,$uminus(sK0)),-2),X14) = nth1(X13,$sum($sum(sK3,$uminus(sK0)),-1),cons(X13,X15,X14)) | ~$less(sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus(sK0)),-1)),0) | nil(int) = X12) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(evaluation,[],[f4129])). 119.69/119.03 tff(f4129,plain,( 119.69/119.03 ( ! [X14:uni,X12:uni,X15:uni,X13:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X12)) | cons(int,cons_proj_11(int,cons_proj_21(int,X12)),cons_proj_21(int,cons_proj_21(int,X12))) = cons_proj_21(int,X12) | nth1(X13,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X14) = nth1(X13,$sum($sum(sK3,$uminus(sK0)),-1),cons(X13,X15,X14)) | ~$less(sK7(tb2t1(cons_proj_21(int,X12)),$sum($sum(sK3,$uminus(sK0)),-1)),0) | nil(int) = X12) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1946,f2526])). 119.69/119.03 tff(f4153,plain,( 119.69/119.03 spl8_482 | spl8_488 | spl8_41 | ~spl8_62 | spl8_141 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f4136,f1101,f1038,f759,f522,f4151,f4140])). 119.69/119.03 tff(f4136,plain,( 119.69/119.03 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X8)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum(sK3,$uminus(sK0)),-2),X10) = nth1(X9,$sum($sum(sK3,$uminus(sK0)),-1),cons(X9,X11,X10)) | nil(int) = X8) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(evaluation,[],[f4128])). 119.69/119.03 tff(f4128,plain,( 119.69/119.03 ( ! [X10:uni,X8:uni,X11:uni,X9:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X8)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | ~$less(sK7(tb2t1(cons_proj_21(int,X8)),0),0) | cons(int,cons_proj_11(int,cons_proj_21(int,X8)),cons_proj_21(int,cons_proj_21(int,X8))) = cons_proj_21(int,X8) | nth1(X9,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X10) = nth1(X9,$sum($sum(sK3,$uminus(sK0)),-1),cons(X9,X11,X10)) | nil(int) = X8) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f2894,f2526])). 119.69/119.03 tff(f4149,plain,( 119.69/119.03 spl8_482 | spl8_486 | spl8_41 | ~spl8_62 | spl8_141 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f4137,f1101,f1038,f759,f522,f4147,f4140])). 119.69/119.03 tff(f4137,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X4)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus(sK0)),-1)),cons_proj_21(int,X4))) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum(sK3,$uminus(sK0)),-2),X6) = nth1(X5,$sum($sum(sK3,$uminus(sK0)),-1),cons(X5,X7,X6)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(evaluation,[],[f4127])). 119.69/119.03 tff(f4127,plain,( 119.69/119.03 ( ! [X6:uni,X4:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X4)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X4)),$sum($sum(sK3,$uminus(sK0)),-1)),cons_proj_21(int,X4))) | cons(int,cons_proj_11(int,cons_proj_21(int,X4)),cons_proj_21(int,cons_proj_21(int,X4))) = cons_proj_21(int,X4) | nth1(X5,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X6) = nth1(X5,$sum($sum(sK3,$uminus(sK0)),-1),cons(X5,X7,X6)) | nil(int) = X4) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1948,f2526])). 119.69/119.03 tff(f4145,plain,( 119.69/119.03 spl8_482 | spl8_484 | spl8_41 | ~spl8_62 | spl8_141 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f4138,f1101,f1038,f759,f522,f4143,f4140])). 119.69/119.03 tff(f4138,plain,( 119.69/119.03 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X0)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X0)),0),cons_proj_21(int,X0))) | cons(int,cons_proj_11(int,cons_proj_21(int,X0)),cons_proj_21(int,cons_proj_21(int,X0))) = cons_proj_21(int,X0) | nth1(X1,$sum($sum(sK3,$uminus(sK0)),-2),X2) = nth1(X1,$sum($sum(sK3,$uminus(sK0)),-1),cons(X1,X3,X2)) | nil(int) = X0) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(evaluation,[],[f4126])). 119.69/119.03 tff(f4126,plain,( 119.69/119.03 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (tb2t(nth1(int,$sum(sK3,$uminus(sK0)),X0)) != tb2t(some(int,t2tb2($sum($sum(sK3,$uminus(sK0)),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons_proj_21(int,X0)),0),cons_proj_21(int,X0))) | cons(int,cons_proj_11(int,cons_proj_21(int,X0)),cons_proj_21(int,cons_proj_21(int,X0))) = cons_proj_21(int,X0) | nth1(X1,$sum($sum($sum(sK3,$uminus(sK0)),-1),-1),X2) = nth1(X1,$sum($sum(sK3,$uminus(sK0)),-1),cons(X1,X3,X2)) | nil(int) = X0) ) | (~spl8_41 | ~spl8_62 | ~spl8_141 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f2063,f2526])). 119.69/119.03 tff(f4124,plain,( 119.69/119.03 spl8_480 | spl8_476 | ~spl8_354), 119.69/119.03 inference(avatar_split_clause,[],[f4107,f2523,f4114,f4122])). 119.69/119.03 tff(f4114,plain,( 119.69/119.03 spl8_476 <=> ! [X3 : uni,X5 : uni,X2 : uni,X4 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_476])])). 119.69/119.03 tff(f4107,plain,( 119.69/119.03 ( ! [X12:uni,X10:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X13,cons(int,X10,X11)))),sK0) | sK3 = 2) ) | ~spl8_354), 119.69/119.03 inference(evaluation,[],[f4104])). 119.69/119.03 tff(f4104,plain,( 119.69/119.03 ( ! [X12:uni,X10:uni,X13:uni,X11:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X11)) | ~zero_at1(tb2t1(cons(int,X12,cons(int,X13,cons(int,X10,X11)))),sK0) | 0 = $sum(sK3,-2)) ) | ~spl8_354), 119.69/119.03 inference(superposition,[],[f2524,f287])). 119.69/119.03 tff(f4120,plain,( 119.69/119.03 spl8_478 | spl8_476 | ~spl8_214 | ~spl8_354), 119.69/119.03 inference(avatar_split_clause,[],[f4108,f2523,f1382,f4114,f4118])). 119.69/119.03 tff(f4108,plain,( 119.69/119.03 ( ! [X6:uni,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X7)) | ~zero_at1(tb2t1(cons(int,X8,cons(int,X9,cons(int,X6,X7)))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_354)), 119.69/119.03 inference(evaluation,[],[f4103])). 119.69/119.03 tff(f4103,plain,( 119.69/119.03 ( ! [X6:uni,X8:uni,X7:uni,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X7)) | ~zero_at1(tb2t1(cons(int,X8,cons(int,X9,cons(int,X6,X7)))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_354)), 119.69/119.03 inference(superposition,[],[f2524,f1734])). 119.69/119.03 tff(f4116,plain,( 119.69/119.03 spl8_474 | spl8_476 | ~spl8_100 | ~spl8_354), 119.69/119.03 inference(avatar_split_clause,[],[f4109,f2523,f895,f4114,f4111])). 119.69/119.03 tff(f4109,plain,( 119.69/119.03 ( ! [X4:uni,X2:uni,X5:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-3),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_354)), 119.69/119.03 inference(evaluation,[],[f4102])). 119.69/119.03 tff(f4102,plain,( 119.69/119.03 ( ! [X4:uni,X2:uni,X5:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-2),-1),X3)) | ~zero_at1(tb2t1(cons(int,X4,cons(int,X5,cons(int,X2,X3)))),sK0) | tb2t(some(int,t2tb2($sum(sK3,-2)))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2)))),cons(int,t2tb2($sum(sK3,-2)),t2tb1(sK2))))) ) | (~spl8_100 | ~spl8_354)), 119.69/119.03 inference(superposition,[],[f2524,f1857])). 119.69/119.03 tff(f4094,plain,( 119.69/119.03 spl8_465), 119.69/119.03 inference(avatar_contradiction_clause,[],[f4090])). 119.69/119.03 tff(f4090,plain,( 119.69/119.03 $false | ~spl8_465), 119.69/119.03 inference(resolution,[],[f3902,f253])). 119.69/119.03 tff(f3902,plain,( 119.69/119.03 ~sort1(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_465), 119.69/119.03 inference(avatar_component_clause,[],[f3901])). 119.69/119.03 tff(f4089,plain,( 119.69/119.03 ~spl8_473 | spl8_380 | ~spl8_104 | ~spl8_226), 119.69/119.03 inference(avatar_split_clause,[],[f4072,f1490,f908,f2677,f4087])). 119.69/119.03 tff(f2677,plain,( 119.69/119.03 spl8_380 <=> ! [X22 : ty,X23 : uni,X24 : uni] : nth1(X22,$sum(sK0,length1(int,t2tb1(sK2))),X23) = nth1(X22,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X22,X24,X23))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_380])])). 119.69/119.03 tff(f4072,plain,( 119.69/119.03 ( ! [X37:uni,X35:ty,X36:uni] : (nth1(X35,$sum(sK0,length1(int,t2tb1(sK2))),X36) = nth1(X35,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3)) ) | (~spl8_104 | ~spl8_226)), 119.69/119.03 inference(evaluation,[],[f4069])). 119.69/119.03 tff(f4069,plain,( 119.69/119.03 ( ! [X37:uni,X35:ty,X36:uni] : (nth1(X35,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X36) = nth1(X35,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X35,X37,X36)) | ~zero_at1(tb2t1(cons(int,t2tb2($sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK2))),sK3)) ) | (~spl8_104 | ~spl8_226)), 119.69/119.03 inference(resolution,[],[f2188,f1109])). 119.69/119.03 tff(f3995,plain,( 119.69/119.03 spl8_380 | ~spl8_471 | ~spl8_36 | ~spl8_144 | ~spl8_288), 119.69/119.03 inference(avatar_split_clause,[],[f3991,f1850,f1061,f482,f3993,f2677])). 119.69/119.03 tff(f3993,plain,( 119.69/119.03 spl8_471 <=> ~zero_at1(sK2,$sum(sK3,-1))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_471])])). 119.69/119.03 tff(f3991,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (~zero_at1(sK2,$sum(sK3,-1)) | nth1(X0,$sum(sK0,length1(int,t2tb1(sK2))),X1) = nth1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X0,X2,X1))) ) | (~spl8_36 | ~spl8_144 | ~spl8_288)), 119.69/119.03 inference(evaluation,[],[f3985])). 119.69/119.03 tff(f3985,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (~zero_at1(sK2,$sum(sK3,-1)) | nth1(X0,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X1) = nth1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X0,X2,X1))) ) | (~spl8_36 | ~spl8_144 | ~spl8_288)), 119.69/119.03 inference(resolution,[],[f2980,f1493])). 119.69/119.03 tff(f2980,plain,( 119.69/119.03 ( ! [X0:list_int,X1:uni] : (~zero_at1(tb2t1(cons(int,X1,t2tb1(X0))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(X0,$sum(sK3,-1))) ) | ~spl8_288), 119.69/119.03 inference(trivial_inequality_removal,[],[f2979])). 119.69/119.03 tff(f2979,plain,( 119.69/119.03 ( ! [X0:list_int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(cons(int,X1,t2tb1(X0))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~zero_at1(X0,$sum(sK3,-1))) ) | ~spl8_288), 119.69/119.03 inference(superposition,[],[f1851,f268])). 119.69/119.03 tff(f3963,plain,( 119.69/119.03 spl8_310 | spl8_468 | ~spl8_308), 119.69/119.03 inference(avatar_split_clause,[],[f3956,f2202,f3961,f3958])). 119.69/119.03 tff(f3958,plain,( 119.69/119.03 spl8_310 <=> $less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_310])])). 119.69/119.03 tff(f3961,plain,( 119.69/119.03 spl8_468 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(X0))) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_468])])). 119.69/119.03 tff(f2202,plain,( 119.69/119.03 spl8_308 <=> $less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_308])])). 119.69/119.03 tff(f3956,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(X0))) | $less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_308), 119.69/119.03 inference(resolution,[],[f2203,f269])). 119.69/119.03 tff(f2203,plain,( 119.69/119.03 $less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~spl8_308), 119.69/119.03 inference(avatar_component_clause,[],[f2202])). 119.69/119.03 tff(f3906,plain,( 119.69/119.03 ~spl8_465 | spl8_466 | ~spl8_350), 119.69/119.03 inference(avatar_split_clause,[],[f3894,f2504,f3904,f3901])). 119.69/119.03 tff(f3813,plain,( 119.69/119.03 spl8_460 | spl8_330 | spl8_41 | ~spl8_154 | ~spl8_274), 119.69/119.03 inference(avatar_split_clause,[],[f3056,f1801,f1101,f522,f2348,f3776])). 119.69/119.03 tff(f3056,plain,( 119.69/119.03 ( ! [X30:uni,X28:ty,X29:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X28,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X29) = nth1(X28,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X28,X30,X29))) ) | (~spl8_41 | ~spl8_154 | ~spl8_274)), 119.69/119.03 inference(evaluation,[],[f3055])). 119.69/119.03 tff(f3055,plain,( 119.69/119.03 ( ! [X30:uni,X28:ty,X29:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X28,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X29) = nth1(X28,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X28,X30,X29))) ) | (~spl8_41 | ~spl8_154 | ~spl8_274)), 119.69/119.03 inference(resolution,[],[f1614,f1802])). 119.69/119.03 tff(f3807,plain,( 119.69/119.03 spl8_460 | spl8_330 | ~spl8_279 | spl8_41 | ~spl8_154 | ~spl8_284), 119.69/119.03 inference(avatar_split_clause,[],[f3806,f1831,f1101,f522,f1810,f2348,f3776])). 119.69/119.03 tff(f3806,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(forward_demodulation,[],[f3471,f236])). 119.69/119.03 tff(f3471,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(evaluation,[],[f3470])). 119.69/119.03 tff(f3470,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(trivial_inequality_removal,[],[f3440])). 119.69/119.03 tff(f3440,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(superposition,[],[f1946,f1832])). 119.69/119.03 tff(f3805,plain,( 119.69/119.03 spl8_330 | spl8_460 | ~spl8_279 | ~spl8_36 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.03 inference(avatar_split_clause,[],[f3804,f1116,f1101,f522,f482,f1810,f3776,f2348])). 119.69/119.03 tff(f3804,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3803,f236])). 119.69/119.03 tff(f3803,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3802,f483])). 119.69/119.03 tff(f3802,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3467,f483])). 119.69/119.03 tff(f3801,plain,( 119.69/119.03 spl8_452 | spl8_330 | ~spl8_333 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f3800,f1741,f1101,f522,f2396,f2348,f3758])). 119.69/119.03 tff(f3800,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f3465,f236])). 119.69/119.03 tff(f3465,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f3464])). 119.69/119.03 tff(f3464,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f3449])). 119.69/119.03 tff(f3449,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9)) | ~$less(sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),0)) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1946,f1742])). 119.69/119.03 tff(f3799,plain,( 119.69/119.03 spl8_460 | spl8_330 | ~spl8_459 | ~spl8_463 | spl8_41 | ~spl8_154 | ~spl8_284), 119.69/119.03 inference(avatar_split_clause,[],[f3798,f1831,f1101,f522,f3791,f3773,f2348,f3776])). 119.69/119.03 tff(f3773,plain,( 119.69/119.03 spl8_459 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_459])])). 119.69/119.03 tff(f3798,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(forward_demodulation,[],[f3513,f236])). 119.69/119.03 tff(f3513,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(evaluation,[],[f3492])). 119.69/119.03 tff(f3492,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(superposition,[],[f2894,f1832])). 119.69/119.03 tff(f3797,plain,( 119.69/119.03 spl8_330 | ~spl8_459 | ~spl8_463 | spl8_460 | ~spl8_36 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.03 inference(avatar_split_clause,[],[f3796,f1116,f1101,f522,f482,f3776,f3791,f3773,f2348])). 119.69/119.03 tff(f3796,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | ~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3795,f483])). 119.69/119.03 tff(f3795,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3794,f236])). 119.69/119.03 tff(f3794,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3511,f483])). 119.69/119.03 tff(f3793,plain,( 119.69/119.03 spl8_452 | spl8_330 | ~spl8_455 | ~spl8_463 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f3789,f1741,f1101,f522,f3791,f3763,f2348,f3758])). 119.69/119.03 tff(f3763,plain,( 119.69/119.03 spl8_455 <=> tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_455])])). 119.69/119.03 tff(f3789,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (~$less(sK7(sK2,0),0) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f3510,f236])). 119.69/119.03 tff(f3510,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f3501])). 119.69/119.03 tff(f3501,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | ~$less(sK7(tb2t1(t2tb1(sK2)),0),0) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f2894,f1742])). 119.69/119.03 tff(f3788,plain,( 119.69/119.03 spl8_460 | spl8_330 | spl8_280 | spl8_41 | ~spl8_154 | ~spl8_284), 119.69/119.03 inference(avatar_split_clause,[],[f3787,f1831,f1101,f522,f1816,f2348,f3776])). 119.69/119.03 tff(f3787,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(forward_demodulation,[],[f3565,f236])). 119.69/119.03 tff(f3565,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(evaluation,[],[f3564])). 119.69/119.03 tff(f3564,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(trivial_inequality_removal,[],[f3534])). 119.69/119.03 tff(f3534,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(superposition,[],[f1948,f1832])). 119.69/119.03 tff(f3786,plain,( 119.69/119.03 spl8_330 | spl8_280 | spl8_460 | ~spl8_36 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.03 inference(avatar_split_clause,[],[f3785,f1116,f1101,f522,f482,f3776,f1816,f2348])). 119.69/119.03 tff(f3785,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3784,f483])). 119.69/119.03 tff(f3784,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3783,f236])). 119.69/119.03 tff(f3783,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3561,f483])). 119.69/119.03 tff(f3782,plain,( 119.69/119.03 spl8_452 | spl8_330 | spl8_344 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f3781,f1741,f1101,f522,f2400,f2348,f3758])). 119.69/119.03 tff(f3781,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f3559,f236])). 119.69/119.03 tff(f3559,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f3558])). 119.69/119.03 tff(f3558,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f3543])). 119.69/119.03 tff(f3543,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1948,f1742])). 119.69/119.03 tff(f3780,plain,( 119.69/119.03 spl8_460 | spl8_330 | ~spl8_459 | spl8_456 | spl8_41 | ~spl8_154 | ~spl8_284), 119.69/119.03 inference(avatar_split_clause,[],[f3779,f1831,f1101,f522,f3766,f3773,f2348,f3776])). 119.69/119.03 tff(f3779,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(forward_demodulation,[],[f3609,f236])). 119.69/119.03 tff(f3609,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(evaluation,[],[f3588])). 119.69/119.03 tff(f3588,plain,( 119.69/119.03 ( ! [X10:uni,X11:uni,X9:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X9,$sum($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),-1),X10) = nth1(X9,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X9,X11,X10))) ) | (~spl8_41 | ~spl8_154 | ~spl8_284)), 119.69/119.03 inference(superposition,[],[f2063,f1832])). 119.69/119.03 tff(f3778,plain,( 119.69/119.03 spl8_330 | ~spl8_459 | spl8_456 | spl8_460 | ~spl8_36 | spl8_41 | ~spl8_154 | ~spl8_160), 119.69/119.03 inference(avatar_split_clause,[],[f3771,f1116,f1101,f522,f482,f3776,f3766,f3773,f2348])). 119.69/119.03 tff(f3771,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),cons(X5,X7,X6)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2)) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3770,f483])). 119.69/119.03 tff(f3770,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3769,f236])). 119.69/119.03 tff(f3769,plain,( 119.69/119.03 ( ! [X6:uni,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-2),X6) = nth1(X5,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),cons(X5,X7,X6))) ) | (~spl8_36 | ~spl8_41 | ~spl8_154 | ~spl8_160)), 119.69/119.03 inference(forward_demodulation,[],[f3607,f483])). 119.69/119.03 tff(f3768,plain,( 119.69/119.03 spl8_452 | spl8_330 | ~spl8_455 | spl8_456 | spl8_41 | ~spl8_154 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f3761,f1741,f1101,f522,f3766,f3763,f2348,f3758])). 119.69/119.03 tff(f3761,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,0),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f3606,f236])). 119.69/119.03 tff(f3606,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum(sK6(tb2t1(nil(int))),-2),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f3597])). 119.69/119.03 tff(f3597,plain,( 119.69/119.03 ( ! [X10:uni,X8:ty,X9:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2($sum(sK6(tb2t1(nil(int))),-1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK2)),0),t2tb1(sK2))) | cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X8,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X9) = nth1(X8,$sum(sK6(tb2t1(nil(int))),-1),cons(X8,X10,X9))) ) | (~spl8_41 | ~spl8_154 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f2063,f1742])). 119.69/119.03 tff(f3760,plain,( 119.69/119.03 spl8_452 | spl8_330 | spl8_41 | ~spl8_154 | ~spl8_334), 119.69/119.03 inference(avatar_split_clause,[],[f3652,f2378,f1101,f522,f2348,f3758])). 119.69/119.03 tff(f3652,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X0,$sum(sK6(tb2t1(nil(int))),-2),X1) = nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),cons(X0,X2,X1))) ) | (~spl8_41 | ~spl8_154 | ~spl8_334)), 119.69/119.03 inference(evaluation,[],[f3647])). 119.69/119.03 tff(f3647,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | nth1(X0,$sum($sum(sK6(tb2t1(nil(int))),-1),-1),X1) = nth1(X0,$sum(sK6(tb2t1(nil(int))),-1),cons(X0,X2,X1))) ) | (~spl8_41 | ~spl8_154 | ~spl8_334)), 119.69/119.03 inference(resolution,[],[f2379,f1614])). 119.69/119.03 tff(f3756,plain,( 119.69/119.03 spl8_450 | ~spl8_62 | spl8_141 | ~spl8_330), 119.69/119.03 inference(avatar_split_clause,[],[f3740,f2348,f1038,f759,f3754])). 119.69/119.03 tff(f3740,plain,( 119.69/119.03 nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(sK2)) = nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),cons_proj_21(int,t2tb1(sK2))) | (~spl8_62 | ~spl8_141 | ~spl8_330)), 119.69/119.03 inference(superposition,[],[f1893,f2349])). 119.69/119.03 tff(f3752,plain,( 119.69/119.03 spl8_448 | ~spl8_330), 119.69/119.03 inference(avatar_split_clause,[],[f3736,f2348,f3750])). 119.69/119.03 tff(f3736,plain,( 119.69/119.03 some(int,cons_proj_11(int,t2tb1(sK2))) = nth1(int,0,t2tb1(sK2)) | ~spl8_330), 119.69/119.03 inference(superposition,[],[f285,f2349])). 119.69/119.03 tff(f3748,plain,( 119.69/119.03 ~spl8_447 | ~spl8_330), 119.69/119.03 inference(avatar_split_clause,[],[f3733,f2348,f3746])). 119.69/119.03 tff(f3746,plain,( 119.69/119.03 spl8_447 <=> nil(int) != t2tb1(sK2)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_447])])). 119.69/119.03 tff(f3733,plain,( 119.69/119.03 nil(int) != t2tb1(sK2) | ~spl8_330), 119.69/119.03 inference(superposition,[],[f270,f2349])). 119.69/119.03 tff(f270,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 119.69/119.03 inference(cnf_transformation,[],[f79])). 119.69/119.03 tff(f79,plain,( 119.69/119.03 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 119.69/119.03 inference(rectify,[],[f28])). 119.69/119.03 tff(f28,axiom,( 119.69/119.03 ! [X1 : ty,X13 : uni,X14 : uni] : nil(X1) != cons(X1,X13,X14)), 119.69/119.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1)). 119.69/119.03 tff(f3744,plain,( 119.69/119.03 spl8_444 | ~spl8_330), 119.69/119.03 inference(avatar_split_clause,[],[f3732,f2348,f3742])). 119.69/119.03 tff(f3732,plain,( 119.69/119.03 length1(int,t2tb1(sK2)) = $sum(1,length1(int,cons_proj_21(int,t2tb1(sK2)))) | ~spl8_330), 119.69/119.03 inference(superposition,[],[f244,f2349])). 119.69/119.03 tff(f3707,plain,( 119.69/119.03 spl8_442 | ~spl8_439 | ~spl8_36 | ~spl8_144 | spl8_383), 119.69/119.03 inference(avatar_split_clause,[],[f3703,f2681,f1061,f482,f3692,f3705])). 119.69/119.03 tff(f3703,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_144 | ~spl8_383)), 119.69/119.03 inference(forward_demodulation,[],[f3702,f3681])). 119.69/119.03 tff(f3681,plain,( 119.69/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (nth1(X0,$sum(sK0,-1),X1) = nth1(X0,sK0,cons(X0,X2,X1))) ) | (~spl8_36 | ~spl8_144 | ~spl8_383)), 119.69/119.03 inference(resolution,[],[f2682,f1493])). 119.69/119.03 tff(f3700,plain,( 119.69/119.03 ~spl8_441 | ~spl8_439 | ~spl8_36 | ~spl8_144 | spl8_383), 119.69/119.03 inference(avatar_split_clause,[],[f3696,f2681,f1061,f482,f3692,f3698])). 119.69/119.03 tff(f3696,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),t2tb1(sK2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),0) | (~spl8_36 | ~spl8_144 | ~spl8_383)), 119.69/119.03 inference(forward_demodulation,[],[f3695,f3681])). 119.69/119.03 tff(f3694,plain,( 119.69/119.03 spl8_436 | ~spl8_439 | ~spl8_36 | ~spl8_144 | spl8_383), 119.69/119.03 inference(avatar_split_clause,[],[f3687,f2681,f1061,f482,f3692,f3689])). 119.69/119.03 tff(f3687,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,-1),t2tb1(sK2))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),sK0) | (~spl8_36 | ~spl8_144 | ~spl8_383)), 119.69/119.03 inference(forward_demodulation,[],[f3686,f3681])). 119.69/119.03 tff(f3686,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,cons(int,t2tb2(0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),sK0) | ~spl8_383), 119.69/119.03 inference(forward_demodulation,[],[f3682,f234])). 119.69/119.03 tff(f3682,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0),sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_383), 119.69/119.03 inference(resolution,[],[f2682,f265])). 119.69/119.03 tff(f3680,plain,( 119.69/119.03 spl8_434 | ~spl8_431 | ~spl8_36 | ~spl8_144 | spl8_379), 119.69/119.03 inference(avatar_split_clause,[],[f3676,f2674,f1061,f482,f3665,f3678])). 119.69/119.03 tff(f3665,plain,( 119.69/119.03 spl8_431 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_431])])). 119.69/119.03 tff(f3676,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_144 | ~spl8_379)), 119.69/119.03 inference(forward_demodulation,[],[f3675,f3654])). 119.69/119.03 tff(f3673,plain,( 119.69/119.03 ~spl8_433 | ~spl8_431 | ~spl8_36 | ~spl8_144 | spl8_379), 119.69/119.03 inference(avatar_split_clause,[],[f3669,f2674,f1061,f482,f3665,f3671])). 119.69/119.03 tff(f3669,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),0) | (~spl8_36 | ~spl8_144 | ~spl8_379)), 119.69/119.03 inference(forward_demodulation,[],[f3668,f3654])). 119.69/119.03 tff(f3667,plain,( 119.69/119.03 spl8_428 | ~spl8_431 | ~spl8_36 | ~spl8_144 | spl8_379), 119.69/119.03 inference(avatar_split_clause,[],[f3660,f2674,f1061,f482,f3665,f3662])). 119.69/119.03 tff(f3660,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),t2tb1(sK2))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),sK3) | (~spl8_36 | ~spl8_144 | ~spl8_379)), 119.69/119.03 inference(forward_demodulation,[],[f3659,f3654])). 119.69/119.03 tff(f3659,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,cons(int,t2tb2(0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),sK3) | ~spl8_379), 119.69/119.03 inference(forward_demodulation,[],[f3655,f234])). 119.69/119.03 tff(f3655,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3),sK3) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_379), 119.69/119.03 inference(resolution,[],[f2675,f265])). 119.69/119.03 tff(f3281,plain,( 119.69/119.03 spl8_234 | spl8_426 | ~spl8_104), 119.69/119.03 inference(avatar_split_clause,[],[f3272,f908,f3278,f1603])). 119.69/119.03 tff(f3272,plain,( 119.69/119.03 ( ! [X14:uni,X12:$int,X10:uni,X15:uni,X13:ty,X11:uni] : (tb2t(some(int,t2tb2(X12))) != tb2t(nth1(int,$sum(sK3,-1),X11)) | ~zero_at1(tb2t1(cons(int,X10,X11)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X13,$sum(X12,-1),X14) = nth1(X13,X12,cons(X13,X15,X14)) | 0 = sK3) ) | ~spl8_104), 119.69/119.03 inference(superposition,[],[f1844,f287])). 119.69/119.03 tff(f3280,plain,( 119.69/119.03 spl8_424 | spl8_426 | ~spl8_104 | ~spl8_214), 119.69/119.03 inference(avatar_split_clause,[],[f3271,f1382,f908,f3278,f3275])). 119.69/119.03 tff(f3271,plain,( 119.69/119.03 ( ! [X6:$int,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | tb2t(some(int,t2tb2(sK3))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK3),t2tb1(sK2))))) ) | (~spl8_104 | ~spl8_214)), 119.69/119.03 inference(superposition,[],[f1844,f1734])). 119.69/119.03 tff(f3260,plain,( 119.69/119.03 spl8_420 | spl8_422 | ~spl8_36 | spl8_141), 119.69/119.03 inference(avatar_split_clause,[],[f3259,f1038,f482,f3256,f3240])). 119.69/119.03 tff(f3240,plain,( 119.69/119.03 spl8_420 <=> 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_420])])). 119.69/119.03 tff(f3256,plain,( 119.69/119.03 spl8_422 <=> ! [X1 : uni,X0 : uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),$sum(1,length1(int,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X1)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_422])])). 119.69/119.03 tff(f3259,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),$sum(1,length1(int,X3))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X3)) | ~no_zero1(tb2t1(cons(int,X2,X3))) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(forward_demodulation,[],[f3249,f244])). 119.69/119.03 tff(f3249,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X3)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),length1(int,cons(int,X2,X3))) | ~no_zero1(tb2t1(cons(int,X2,X3))) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(superposition,[],[f2082,f287])). 119.69/119.03 tff(f3258,plain,( 119.69/119.03 spl8_416 | spl8_422 | ~spl8_36 | spl8_141 | ~spl8_214), 119.69/119.03 inference(avatar_split_clause,[],[f3254,f1382,f1038,f482,f3256,f3233])). 119.69/119.03 tff(f3233,plain,( 119.69/119.03 spl8_416 <=> tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_416])])). 119.69/119.03 tff(f3254,plain,( 119.69/119.03 ( ! [X0:uni,X1:uni] : (~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),$sum(1,length1(int,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X1)) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_141 | ~spl8_214)), 119.69/119.03 inference(forward_demodulation,[],[f3248,f244])). 119.69/119.03 tff(f3248,plain,( 119.69/119.03 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X1)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),length1(int,cons(int,X0,X1))) | ~no_zero1(tb2t1(cons(int,X0,X1))) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_141 | ~spl8_214)), 119.69/119.03 inference(superposition,[],[f2082,f1734])). 119.69/119.03 tff(f3242,plain,( 119.69/119.03 spl8_420 | spl8_418 | ~spl8_36 | spl8_141), 119.69/119.03 inference(avatar_split_clause,[],[f3227,f1038,f482,f3236,f3240])). 119.69/119.03 tff(f3236,plain,( 119.69/119.03 spl8_418 <=> ! [X1 : uni,X3 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X2)) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X3))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_418])])). 119.69/119.03 tff(f3227,plain,( 119.69/119.03 ( ! [X6:$int,X4:uni,X5:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X5)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X6) | ~zero_at1(tb2t1(cons(int,X4,X5)),X6) | 0 = sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)) ) | (~spl8_36 | ~spl8_141)), 119.69/119.03 inference(superposition,[],[f2060,f287])). 119.69/119.03 tff(f3238,plain,( 119.69/119.03 spl8_416 | spl8_418 | ~spl8_36 | spl8_141 | ~spl8_214), 119.69/119.03 inference(avatar_split_clause,[],[f3226,f1382,f1038,f482,f3236,f3233])). 119.69/119.03 tff(f3226,plain,( 119.69/119.03 ( ! [X2:uni,X3:$int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),-1),X2)) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),X3) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | tb2t(some(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)),t2tb1(sK2))))) ) | (~spl8_36 | ~spl8_141 | ~spl8_214)), 119.69/119.03 inference(superposition,[],[f2060,f1734])). 119.69/119.03 tff(f3193,plain,( 119.69/119.03 spl8_262 | spl8_414 | ~spl8_214 | ~spl8_348), 119.69/119.03 inference(avatar_split_clause,[],[f3192,f2410,f1382,f3189,f1738])). 119.69/119.03 tff(f3192,plain,( 119.69/119.03 ( ! [X6:uni,X4:$int,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X4))) | nth1(X5,$sum(X4,-1),X6) = nth1(X5,X4,cons(X5,X7,X6)) | 0 = sK6(tb2t1(nil(int)))) ) | (~spl8_214 | ~spl8_348)), 119.69/119.03 inference(forward_demodulation,[],[f3146,f2411])). 119.69/119.03 tff(f3146,plain,( 119.69/119.03 ( ! [X6:uni,X4:$int,X7:uni,X5:ty] : (tb2t(some(int,t2tb2(X4))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) | nth1(X5,$sum(X4,-1),X6) = nth1(X5,X4,cons(X5,X7,X6)) | 0 = sK6(tb2t1(nil(int)))) ) | ~spl8_214), 119.69/119.03 inference(superposition,[],[f1734,f287])). 119.69/119.03 tff(f3191,plain,( 119.69/119.03 spl8_412 | spl8_414 | ~spl8_214 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f3184,f1741,f1382,f3189,f3186])). 119.69/119.03 tff(f3184,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(0))) = tb2t(some(int,t2tb2(X0))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | (~spl8_214 | ~spl8_264)), 119.69/119.03 inference(forward_demodulation,[],[f3145,f1742])). 119.69/119.03 tff(f3145,plain,( 119.69/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (tb2t(some(int,t2tb2(X0))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2)) | tb2t(some(int,t2tb2(sK6(tb2t1(nil(int)))))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK6(tb2t1(nil(int)))),t2tb1(sK2))))) ) | ~spl8_214), 119.69/119.03 inference(superposition,[],[f1734,f1734])). 119.69/119.03 tff(f3136,plain,( 119.69/119.03 spl8_210 | spl8_410 | spl8_43 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f3132,f1101,f525,f3134,f1356])). 119.69/119.03 tff(f1356,plain,( 119.69/119.03 spl8_210 <=> ! [X1 : uni,X0 : ty,X2 : uni] : nth1(X0,$sum($uminus(sK0),-1),X1) = nth1(X0,$uminus(sK0),cons(X0,X2,X1))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_210])])). 119.69/119.03 tff(f3134,plain,( 119.69/119.03 spl8_410 <=> ! [X1 : $int,X0 : $int] : (~$less($product($product(sK0,X0),X1),$product($product(0,X0),X1)) | $less(X1,0) | $less(X0,0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_410])])). 119.69/119.03 tff(f525,plain,( 119.69/119.03 spl8_43 <=> ~$less(sK0,$sum(sK0,0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_43])])). 119.69/119.03 tff(f3132,plain,( 119.69/119.03 ( ! [X4:uni,X2:ty,X0:$int,X3:uni,X1:$int] : (~$less($product($product(sK0,X0),X1),$product($product(0,X0),X1)) | $less(X0,0) | $less(X1,0) | nth1(X2,$sum($uminus(sK0),-1),X3) = nth1(X2,$uminus(sK0),cons(X2,X4,X3))) ) | (~spl8_43 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1729,f1102])). 119.69/119.03 tff(f1729,plain,( 119.69/119.03 ( ! [X4:uni,X2:$int,X0:$int,X5:uni,X3:ty,X1:$int] : (~$less($product($product(sK0,X1),X2),$product($product($sum(sK0,X0),X1),X2)) | $less(X1,0) | $less(X2,0) | nth1(X3,$sum(X0,-1),X4) = nth1(X3,X0,cons(X3,X5,X4))) ) | ~spl8_43), 119.69/119.03 inference(superposition,[],[f817,f287])). 119.69/119.03 tff(f817,plain,( 119.69/119.03 ( ! [X0:$int,X1:$int] : (~$less($product($product(sK0,X0),X1),$product($product($sum(sK0,0),X0),X1)) | $less(X0,0) | $less(X1,0)) ) | ~spl8_43), 119.69/119.03 inference(resolution,[],[f699,f274])). 119.69/119.03 tff(f699,plain,( 119.69/119.03 ( ! [X0:$int] : (~$less($product(sK0,X0),$product($sum(sK0,0),X0)) | $less(X0,0)) ) | ~spl8_43), 119.69/119.03 inference(resolution,[],[f526,f274])). 119.69/119.03 tff(f526,plain,( 119.69/119.03 ~$less(sK0,$sum(sK0,0)) | ~spl8_43), 119.69/119.03 inference(avatar_component_clause,[],[f525])). 119.69/119.03 tff(f3038,plain,( 119.69/119.03 spl8_234 | spl8_408 | ~spl8_50), 119.69/119.03 inference(avatar_split_clause,[],[f3033,f696,f3036,f1603])). 119.69/119.03 tff(f3033,plain,( 119.69/119.03 ( ! [X6:$int,X4:uni,X8:uni,X7:ty,X5:uni,X9:uni] : (tb2t(some(int,t2tb2(X6))) != tb2t(nth1(int,$sum(sK3,-1),X5)) | ~zero_at1(tb2t1(cons(int,X4,X5)),sK0) | nth1(X7,$sum(X6,-1),X8) = nth1(X7,X6,cons(X7,X9,X8)) | 0 = sK3) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f1597,f287])). 119.69/119.03 tff(f2995,plain,( 119.69/119.03 ~spl8_153 | spl8_318 | ~spl8_316), 119.69/119.03 inference(avatar_split_clause,[],[f2989,f2258,f2261,f2993])). 119.69/119.03 tff(f2993,plain,( 119.69/119.03 spl8_153 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_153])])). 119.69/119.03 tff(f2989,plain,( 119.69/119.03 zero_at1(sK2,sK6(sK2)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK2),t2tb1(sK2))) | ~spl8_316), 119.69/119.03 inference(resolution,[],[f2259,f266])). 119.69/119.03 tff(f2259,plain,( 119.69/119.03 $less(sK7(sK2,sK6(sK2)),0) | ~spl8_316), 119.69/119.03 inference(avatar_component_clause,[],[f2258])). 119.69/119.03 tff(f2985,plain,( 119.69/119.03 spl8_352 | spl8_406 | ~spl8_288), 119.69/119.03 inference(avatar_split_clause,[],[f2981,f1850,f2983,f2520])). 119.69/119.03 tff(f2981,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 1 = sK3) ) | ~spl8_288), 119.69/119.03 inference(evaluation,[],[f2978])). 119.69/119.03 tff(f2978,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 0 = $sum(sK3,-1)) ) | ~spl8_288), 119.69/119.03 inference(superposition,[],[f1851,f287])). 119.69/119.03 tff(f2922,plain,( 119.69/119.03 ~spl8_399 | spl8_404 | spl8_393), 119.69/119.03 inference(avatar_split_clause,[],[f2905,f2885,f2920,f2909])). 119.69/119.03 tff(f2909,plain,( 119.69/119.03 spl8_399 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_399])])). 119.69/119.03 tff(f2920,plain,( 119.69/119.03 spl8_404 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_404])])). 119.69/119.03 tff(f2885,plain,( 119.69/119.03 spl8_393 <=> ~zero_at1(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_393])])). 119.69/119.03 tff(f2905,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_393), 119.69/119.03 inference(resolution,[],[f2886,f267])). 119.69/119.03 tff(f2886,plain,( 119.69/119.03 ~zero_at1(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))) | ~spl8_393), 119.69/119.03 inference(avatar_component_clause,[],[f2885])). 119.69/119.03 tff(f2918,plain,( 119.69/119.03 ~spl8_399 | ~spl8_403 | spl8_393), 119.69/119.03 inference(avatar_split_clause,[],[f2904,f2885,f2916,f2909])). 119.69/119.03 tff(f2916,plain,( 119.69/119.03 spl8_403 <=> ~$less(sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_403])])). 119.69/119.03 tff(f2904,plain,( 119.69/119.03 ~$less(sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_393), 119.69/119.03 inference(resolution,[],[f2886,f266])). 119.69/119.03 tff(f2914,plain,( 119.69/119.03 ~spl8_399 | spl8_400 | spl8_393), 119.69/119.03 inference(avatar_split_clause,[],[f2903,f2885,f2912,f2909])). 119.69/119.03 tff(f2912,plain,( 119.69/119.03 spl8_400 <=> $less(sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_400])])). 119.69/119.03 tff(f2903,plain,( 119.69/119.03 $less(sK7(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))),sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),t2tb1(sK2))) | ~spl8_393), 119.69/119.03 inference(resolution,[],[f2886,f265])). 119.69/119.03 tff(f2893,plain,( 119.69/119.03 ~spl8_393 | spl8_394 | spl8_396 | ~spl8_26 | ~spl8_186), 119.69/119.03 inference(avatar_split_clause,[],[f2875,f2831,f367,f2891,f2888,f2885])). 119.69/119.03 tff(f2875,plain,( 119.69/119.03 ( ! [X14:uni,X15:uni,X13:ty] : (nth1(X13,$sum(length1(int,t2tb1(sK2)),-1),X14) = nth1(X13,length1(int,t2tb1(sK2)),cons(X13,X15,X14)) | $less(sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))),0) | ~zero_at1(sK2,sK7(tb2t1(nil(int)),length1(int,t2tb1(sK2))))) ) | (~spl8_26 | ~spl8_186)), 119.69/119.03 inference(resolution,[],[f2838,f1456])). 119.69/119.03 tff(f2833,plain,( 119.69/119.03 spl8_186 | ~spl8_58 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f2829,f1101,f728,f2831])). 119.69/119.03 tff(f728,plain,( 119.69/119.03 spl8_58 <=> $less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_58])])). 119.69/119.03 tff(f2829,plain,( 119.69/119.03 $less(sK7(tb2t1(nil(int)),0),0) | (~spl8_58 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f729,f1102])). 119.69/119.03 tff(f729,plain,( 119.69/119.03 $less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_58), 119.69/119.03 inference(avatar_component_clause,[],[f728])). 119.69/119.03 tff(f2818,plain,( 119.69/119.03 spl8_388 | spl8_390 | spl8_61 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f2807,f1101,f737,f2816,f2813])). 119.69/119.03 tff(f2813,plain,( 119.69/119.03 spl8_388 <=> 0 = sK7(tb2t1(nil(int)),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_388])])). 119.69/119.03 tff(f2816,plain,( 119.69/119.03 spl8_390 <=> ! [X1 : uni,X3 : $int,X2 : uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),0),-1),X2)) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | ~$less(sK7(tb2t1(nil(int)),0),X3))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_390])])). 119.69/119.03 tff(f737,plain,( 119.69/119.03 spl8_61 <=> ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_61])])). 119.69/119.03 tff(f2807,plain,( 119.69/119.03 ( ! [X2:uni,X3:$int,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK7(tb2t1(nil(int)),0),-1),X2)) | ~$less(sK7(tb2t1(nil(int)),0),X3) | ~zero_at1(tb2t1(cons(int,X1,X2)),X3) | 0 = sK7(tb2t1(nil(int)),0)) ) | (~spl8_61 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1976,f287])). 119.69/119.03 tff(f1976,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),0),X0)) | ~$less(sK7(tb2t1(nil(int)),0),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_61 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1975,f1102])). 119.69/119.03 tff(f1975,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),0),X0)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),X1) | ~zero_at1(tb2t1(X0),X1)) ) | (~spl8_61 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1965,f1102])). 119.69/119.03 tff(f1965,plain,( 119.69/119.03 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),X0)) | ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),X1) | ~zero_at1(tb2t1(X0),X1)) ) | ~spl8_61), 119.69/119.03 inference(superposition,[],[f811,f234])). 119.69/119.03 tff(f811,plain,( 119.69/119.03 ( ! [X2:list_int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),t2tb1(X2))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),X3) | ~zero_at1(X2,X3)) ) | ~spl8_61), 119.69/119.03 inference(resolution,[],[f738,f269])). 119.69/119.03 tff(f738,plain,( 119.69/119.03 ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),0) | ~spl8_61), 119.69/119.03 inference(avatar_component_clause,[],[f737])). 119.69/119.03 tff(f2706,plain,( 119.69/119.03 spl8_278 | spl8_386 | ~spl8_276), 119.69/119.03 inference(avatar_split_clause,[],[f2698,f1804,f2704,f2701])). 119.69/119.03 tff(f2704,plain,( 119.69/119.03 spl8_386 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(X0))) | ~zero_at1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_386])])). 119.69/119.03 tff(f2698,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(X0))) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | ~zero_at1(X0,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1))) ) | ~spl8_276), 119.69/119.03 inference(resolution,[],[f1805,f269])). 119.69/119.03 tff(f2686,plain,( 119.69/119.03 ~spl8_383 | spl8_384 | ~spl8_36 | ~spl8_50 | ~spl8_144), 119.69/119.03 inference(avatar_split_clause,[],[f2661,f1061,f696,f482,f2684,f2681])). 119.69/119.03 tff(f2661,plain,( 119.69/119.03 ( ! [X26:uni,X27:uni,X25:ty] : (nth1(X25,$sum(sK3,-1),X26) = nth1(X25,sK3,cons(X25,X27,X26)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK0)) ) | (~spl8_36 | ~spl8_50 | ~spl8_144)), 119.69/119.03 inference(resolution,[],[f1493,f1098])). 119.69/119.03 tff(f1098,plain,( 119.69/119.03 ( ! [X0:list_int] : (~zero_at1(X0,sK3) | ~zero_at1(X0,sK0)) ) | ~spl8_50), 119.69/119.03 inference(trivial_inequality_removal,[],[f1097])). 119.69/119.03 tff(f1097,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(X0,sK0) | ~zero_at1(X0,sK3)) ) | ~spl8_50), 119.69/119.03 inference(superposition,[],[f697,f268])). 119.69/119.03 tff(f2679,plain,( 119.69/119.03 ~spl8_379 | spl8_380 | ~spl8_36 | ~spl8_104 | ~spl8_144), 119.69/119.03 inference(avatar_split_clause,[],[f2663,f1061,f908,f482,f2677,f2674])). 119.69/119.03 tff(f2663,plain,( 119.69/119.03 ( ! [X24:uni,X23:uni,X22:ty] : (nth1(X22,$sum(sK0,length1(int,t2tb1(sK2))),X23) = nth1(X22,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X22,X24,X23)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3)) ) | (~spl8_36 | ~spl8_104 | ~spl8_144)), 119.69/119.03 inference(evaluation,[],[f2660])). 119.69/119.03 tff(f2660,plain,( 119.69/119.03 ( ! [X24:uni,X23:uni,X22:ty] : (nth1(X22,$sum($sum($sum(sK0,1),length1(int,t2tb1(sK2))),-1),X23) = nth1(X22,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),cons(X22,X24,X23)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),sK3)) ) | (~spl8_36 | ~spl8_104 | ~spl8_144)), 119.69/119.03 inference(resolution,[],[f1493,f1109])). 119.69/119.03 tff(f2610,plain,( 119.69/119.03 ~spl8_377 | spl8_315 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2555,f2520,f2230,f2608])). 119.69/119.03 tff(f2608,plain,( 119.69/119.03 spl8_377 <=> ~zero_at1(sK2,1)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_377])])). 119.69/119.03 tff(f2230,plain,( 119.69/119.03 spl8_315 <=> ~zero_at1(sK2,sK3)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_315])])). 119.69/119.03 tff(f2555,plain,( 119.69/119.03 ~zero_at1(sK2,1) | (~spl8_315 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f2231,f2521])). 119.69/119.03 tff(f2521,plain,( 119.69/119.03 1 = sK3 | ~spl8_352), 119.69/119.03 inference(avatar_component_clause,[],[f2520])). 119.69/119.03 tff(f2231,plain,( 119.69/119.03 ~zero_at1(sK2,sK3) | ~spl8_315), 119.69/119.03 inference(avatar_component_clause,[],[f2230])). 119.69/119.03 tff(f2606,plain,( 119.69/119.03 ~spl8_375 | spl8_257 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2557,f2520,f1690,f2604])). 119.69/119.03 tff(f2604,plain,( 119.69/119.03 spl8_375 <=> ~zero_at1(sK2,$uminus(sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_375])])). 119.69/119.03 tff(f1690,plain,( 119.69/119.03 spl8_257 <=> ~zero_at1(sK2,$sum($sum(sK3,$uminus(sK0)),-1))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_257])])). 119.69/119.03 tff(f2557,plain,( 119.69/119.03 ~zero_at1(sK2,$uminus(sK0)) | (~spl8_257 | ~spl8_352)), 119.69/119.03 inference(evaluation,[],[f2553])). 119.69/119.03 tff(f2553,plain,( 119.69/119.03 ~zero_at1(sK2,$sum($sum(1,$uminus(sK0)),-1)) | (~spl8_257 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1691,f2521])). 119.69/119.03 tff(f1691,plain,( 119.69/119.03 ~zero_at1(sK2,$sum($sum(sK3,$uminus(sK0)),-1)) | ~spl8_257), 119.69/119.03 inference(avatar_component_clause,[],[f1690])). 119.69/119.03 tff(f2602,plain,( 119.69/119.03 spl8_364 | ~spl8_118 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2551,f2520,f1586,f2583])). 119.69/119.03 tff(f2583,plain,( 119.69/119.03 spl8_364 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_364])])). 119.69/119.03 tff(f2551,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),0) | (~spl8_118 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1587,f2521])). 119.69/119.03 tff(f2601,plain,( 119.69/119.03 ~spl8_373 | spl8_185 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2548,f2520,f1200,f2599])). 119.69/119.03 tff(f2599,plain,( 119.69/119.03 spl8_373 <=> ~$less(sK7(tb2t1(nil(int)),$sum(1,$uminus(sK0))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_373])])). 119.69/119.03 tff(f2548,plain,( 119.69/119.03 ~$less(sK7(tb2t1(nil(int)),$sum(1,$uminus(sK0))),0) | (~spl8_185 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1201,f2521])). 119.69/119.03 tff(f2597,plain,( 119.69/119.03 ~spl8_371 | spl8_175 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2547,f2520,f1170,f2595])). 119.69/119.03 tff(f2595,plain,( 119.69/119.03 spl8_371 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_371])])). 119.69/119.03 tff(f1170,plain,( 119.69/119.03 spl8_175 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_175])])). 119.69/119.03 tff(f2547,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,1,t2tb1(sK2))) | (~spl8_175 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1171,f2521])). 119.69/119.03 tff(f1171,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | ~spl8_175), 119.69/119.03 inference(avatar_component_clause,[],[f1170])). 119.69/119.03 tff(f2593,plain,( 119.69/119.03 ~spl8_369 | spl8_137 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2559,f2520,f1027,f2591])). 119.69/119.03 tff(f2591,plain,( 119.69/119.03 spl8_369 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$uminus(sK0),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_369])])). 119.69/119.03 tff(f2559,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$uminus(sK0),t2tb1(sK2))) | (~spl8_137 | ~spl8_352)), 119.69/119.03 inference(evaluation,[],[f2543])). 119.69/119.03 tff(f2543,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(1,$uminus(sK0)),-1),t2tb1(sK2))) | (~spl8_137 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1028,f2521])). 119.69/119.03 tff(f1028,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | ~spl8_137), 119.69/119.03 inference(avatar_component_clause,[],[f1027])). 119.69/119.03 tff(f2589,plain,( 119.69/119.03 spl8_366 | ~spl8_128 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2560,f2520,f1006,f2587])). 119.69/119.03 tff(f2560,plain,( 119.69/119.03 $less($uminus($sum(sK0,1)),-1) | (~spl8_128 | ~spl8_352)), 119.69/119.03 inference(evaluation,[],[f2542])). 119.69/119.03 tff(f2542,plain,( 119.69/119.03 $less($sum(1,$uminus($sum(sK0,1))),0) | (~spl8_128 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f1007,f2521])). 119.69/119.03 tff(f1007,plain,( 119.69/119.03 $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~spl8_128), 119.69/119.03 inference(avatar_component_clause,[],[f1006])). 119.69/119.03 tff(f2585,plain,( 119.69/119.03 spl8_364 | ~spl8_36 | ~spl8_66 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2581,f2520,f985,f482,f2583])). 119.69/119.03 tff(f2581,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),0) | (~spl8_36 | ~spl8_66 | ~spl8_352)), 119.69/119.03 inference(forward_demodulation,[],[f2541,f483])). 119.69/119.03 tff(f2541,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(1,$uminus(sK0))),0) | (~spl8_66 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f986,f2521])). 119.69/119.03 tff(f986,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_66), 119.69/119.03 inference(avatar_component_clause,[],[f985])). 119.69/119.03 tff(f2580,plain,( 119.69/119.03 ~spl8_363 | spl8_117 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2540,f2520,f943,f2576])). 119.69/119.03 tff(f2576,plain,( 119.69/119.03 spl8_363 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_363])])). 119.69/119.03 tff(f2540,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_117 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f944,f2521])). 119.69/119.03 tff(f2579,plain,( 119.69/119.03 spl8_360 | ~spl8_114 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2539,f2520,f940,f2571])). 119.69/119.03 tff(f2571,plain,( 119.69/119.03 spl8_360 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),$sum(1,$uminus(sK0)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_360])])). 119.69/119.03 tff(f2539,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),$sum(1,$uminus(sK0))) | (~spl8_114 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f941,f2521])). 119.69/119.03 tff(f2578,plain,( 119.69/119.03 ~spl8_363 | ~spl8_36 | spl8_65 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2574,f2520,f762,f482,f2576])). 119.69/119.03 tff(f2574,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_65 | ~spl8_352)), 119.69/119.03 inference(forward_demodulation,[],[f2537,f483])). 119.69/119.03 tff(f2537,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(1,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_65 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f763,f2521])). 119.69/119.03 tff(f763,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_65), 119.69/119.03 inference(avatar_component_clause,[],[f762])). 119.69/119.03 tff(f2573,plain,( 119.69/119.03 spl8_360 | ~spl8_36 | ~spl8_62 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2569,f2520,f759,f482,f2571])). 119.69/119.03 tff(f2569,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(1,$uminus(sK0))),$sum(1,$uminus(sK0))) | (~spl8_36 | ~spl8_62 | ~spl8_352)), 119.69/119.03 inference(forward_demodulation,[],[f2536,f483])). 119.69/119.03 tff(f2536,plain,( 119.69/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(1,$uminus(sK0))),$sum(1,$uminus(sK0))) | (~spl8_62 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f760,f2521])). 119.69/119.03 tff(f2568,plain,( 119.69/119.03 spl8_358 | ~spl8_32 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2534,f2520,f388,f2566])). 119.69/119.03 tff(f2566,plain,( 119.69/119.03 spl8_358 <=> $less(1,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_358])])). 119.69/119.03 tff(f388,plain,( 119.69/119.03 spl8_32 <=> $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_32])])). 119.69/119.03 tff(f2534,plain,( 119.69/119.03 $less(1,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | (~spl8_32 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f389,f2521])). 119.69/119.03 tff(f389,plain,( 119.69/119.03 $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~spl8_32), 119.69/119.03 inference(avatar_component_clause,[],[f388])). 119.69/119.03 tff(f2564,plain,( 119.69/119.03 spl8_356 | ~spl8_6 | ~spl8_352), 119.69/119.03 inference(avatar_split_clause,[],[f2533,f2520,f322,f2562])). 119.69/119.03 tff(f2562,plain,( 119.69/119.03 spl8_356 <=> $less(1,sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_356])])). 119.69/119.03 tff(f322,plain,( 119.69/119.03 spl8_6 <=> $less(sK3,sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])). 119.69/119.03 tff(f2533,plain,( 119.69/119.03 $less(1,sK0) | (~spl8_6 | ~spl8_352)), 119.69/119.03 inference(superposition,[],[f323,f2521])). 119.69/119.03 tff(f323,plain,( 119.69/119.03 $less(sK3,sK0) | ~spl8_6), 119.69/119.03 inference(avatar_component_clause,[],[f322])). 119.69/119.03 tff(f2525,plain,( 119.69/119.03 spl8_352 | spl8_354 | ~spl8_236), 119.69/119.03 inference(avatar_split_clause,[],[f2518,f1606,f2523,f2520])). 119.69/119.03 tff(f2518,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-2),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),sK0) | 1 = sK3) ) | ~spl8_236), 119.69/119.03 inference(evaluation,[],[f2515])). 119.69/119.03 tff(f2515,plain,( 119.69/119.03 ( ! [X2:uni,X3:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,-1),-1),X2)) | ~zero_at1(tb2t1(cons(int,X3,cons(int,X1,X2))),sK0) | 0 = $sum(sK3,-1)) ) | ~spl8_236), 119.69/119.03 inference(superposition,[],[f1607,f287])). 119.69/119.03 tff(f2506,plain,( 119.69/119.03 spl8_350 | ~spl8_292), 119.69/119.03 inference(avatar_split_clause,[],[f2502,f1991,f2504])). 119.69/119.03 tff(f2502,plain,( 119.69/119.03 some(int,t2tb2(0)) = some(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_292), 119.69/119.03 inference(forward_demodulation,[],[f2500,f285])). 119.69/119.03 tff(f2500,plain,( 119.69/119.03 some(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2)))) = nth1(int,0,cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_292), 119.69/119.03 inference(superposition,[],[f285,f1992])). 119.69/119.03 tff(f2412,plain,( 119.69/119.03 spl8_348 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2408,f1741,f2410])). 119.69/119.03 tff(f2408,plain,( 119.69/119.03 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) | ~spl8_264), 119.69/119.03 inference(forward_demodulation,[],[f2363,f238])). 119.69/119.03 tff(f2363,plain,( 119.69/119.03 nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f238,f1742])). 119.69/119.03 tff(f2407,plain,( 119.69/119.03 ~spl8_27 | ~spl8_339 | spl8_340 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2365,f1741,f2388,f2385,f1010])). 119.69/119.03 tff(f2385,plain,( 119.69/119.03 spl8_339 <=> ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_339])])). 119.69/119.03 tff(f2388,plain,( 119.69/119.03 spl8_340 <=> $less(sK6(tb2t1(nil(int))),1)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_340])])). 119.69/119.03 tff(f2365,plain,( 119.69/119.03 $less(sK6(tb2t1(nil(int))),1) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_264), 119.69/119.03 inference(evaluation,[],[f2364])). 119.69/119.03 tff(f2364,plain,( 119.69/119.03 $less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_264), 119.69/119.03 inference(trivial_inequality_removal,[],[f2362])). 119.69/119.03 tff(f2362,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f250,f1742])). 119.69/119.03 tff(f2406,plain,( 119.69/119.03 spl8_346 | spl8_340 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2367,f1741,f2388,f2404])). 119.69/119.03 tff(f2404,plain,( 119.69/119.03 spl8_346 <=> ! [X0 : $int] : (~$less($sum(sK6(tb2t1(nil(int))),-1),X0) | ~zero_at1(sK2,X0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_346])])). 119.69/119.03 tff(f2367,plain,( 119.69/119.03 ( ! [X0:$int] : ($less(sK6(tb2t1(nil(int))),1) | ~$less($sum(sK6(tb2t1(nil(int))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_264), 119.69/119.03 inference(evaluation,[],[f2366])). 119.69/119.03 tff(f2366,plain,( 119.69/119.03 ( ! [X0:$int] : ($less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_264), 119.69/119.03 inference(trivial_inequality_removal,[],[f2361])). 119.69/119.03 tff(f2361,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f269,f1742])). 119.69/119.03 tff(f2402,plain,( 119.69/119.03 spl8_344 | spl8_334 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2368,f1741,f2378,f2400])). 119.69/119.03 tff(f2368,plain,( 119.69/119.03 zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | ~spl8_264), 119.69/119.03 inference(trivial_inequality_removal,[],[f2360])). 119.69/119.03 tff(f2360,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),t2tb1(sK2))) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f267,f1742])). 119.69/119.03 tff(f2398,plain,( 119.69/119.03 ~spl8_333 | spl8_334 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2369,f1741,f2378,f2396])). 119.69/119.03 tff(f2369,plain,( 119.69/119.03 zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | ~spl8_264), 119.69/119.03 inference(trivial_inequality_removal,[],[f2359])). 119.69/119.03 tff(f2359,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f266,f1742])). 119.69/119.03 tff(f2394,plain,( 119.69/119.03 spl8_342 | spl8_334 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2370,f1741,f2378,f2392])). 119.69/119.03 tff(f2370,plain,( 119.69/119.03 zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | ~spl8_264), 119.69/119.03 inference(trivial_inequality_removal,[],[f2358])). 119.69/119.03 tff(f2358,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),$sum(sK6(tb2t1(nil(int))),-1)) | ~spl8_264), 119.69/119.03 inference(superposition,[],[f265,f1742])). 119.69/119.03 tff(f2390,plain,( 119.69/119.03 ~spl8_339 | spl8_340 | ~spl8_26 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2372,f1741,f367,f2388,f2385])). 119.69/119.03 tff(f2372,plain,( 119.69/119.03 $less(sK6(tb2t1(nil(int))),1) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_264)), 119.69/119.03 inference(evaluation,[],[f2371])). 119.69/119.03 tff(f2371,plain,( 119.69/119.03 $less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f2357])). 119.69/119.03 tff(f2357,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(nil(int))),-1),0) | ~$less($sum(sK6(tb2t1(nil(int))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1313,f1742])). 119.69/119.03 tff(f2383,plain,( 119.69/119.03 spl8_332 | spl8_334 | ~spl8_337 | ~spl8_26 | ~spl8_264), 119.69/119.03 inference(avatar_split_clause,[],[f2373,f1741,f367,f2381,f2378,f2375])). 119.69/119.03 tff(f2381,plain,( 119.69/119.03 spl8_337 <=> ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),length1(int,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_337])])). 119.69/119.03 tff(f2373,plain,( 119.69/119.03 ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),length1(int,t2tb1(sK2))) | zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | (~spl8_26 | ~spl8_264)), 119.69/119.03 inference(trivial_inequality_removal,[],[f2356])). 119.69/119.03 tff(f2356,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),length1(int,t2tb1(sK2))) | zero_at1(sK2,$sum(sK6(tb2t1(nil(int))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(nil(int))),-1)),0) | (~spl8_26 | ~spl8_264)), 119.69/119.03 inference(superposition,[],[f1454,f1742])). 119.69/119.03 tff(f1454,plain,( 119.69/119.03 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK2))) | ~$less(sK7(sK2,X1),length1(int,t2tb1(sK2))) | zero_at1(sK2,X1) | $less(sK7(sK2,X1),0)) ) | ~spl8_26), 119.69/119.03 inference(trivial_inequality_removal,[],[f1453])). 119.69/119.03 tff(f1453,plain,( 119.69/119.03 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK2,X1),0) | ~$less(sK7(sK2,X1),length1(int,t2tb1(sK2))) | zero_at1(sK2,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK2)))) ) | ~spl8_26), 119.69/119.03 inference(superposition,[],[f1313,f267])). 119.69/119.03 tff(f2350,plain,( 119.69/119.03 spl8_330 | ~spl8_44 | spl8_151), 119.69/119.03 inference(avatar_split_clause,[],[f2344,f1084,f678,f2348])). 119.69/119.03 tff(f2344,plain,( 119.69/119.03 cons(int,cons_proj_11(int,t2tb1(sK2)),cons_proj_21(int,t2tb1(sK2))) = t2tb1(sK2) | (~spl8_44 | ~spl8_151)), 119.69/119.03 inference(resolution,[],[f1592,f1085])). 119.69/119.03 tff(f2295,plain,( 119.69/119.03 spl8_328 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2291,f1088,f2293])). 119.69/119.03 tff(f2291,plain,( 119.69/119.03 some(int,t2tb2(0)) = nth1(int,sK6(sK2),t2tb1(sK2)) | ~spl8_152), 119.69/119.03 inference(forward_demodulation,[],[f2249,f238])). 119.69/119.03 tff(f2249,plain,( 119.69/119.03 nth1(int,sK6(sK2),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_152), 119.69/119.03 inference(superposition,[],[f238,f1089])). 119.69/119.03 tff(f2290,plain,( 119.69/119.03 ~spl8_27 | ~spl8_149 | spl8_150 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2250,f1088,f2271,f2268,f1010])). 119.69/119.03 tff(f2289,plain,( 119.69/119.03 spl8_326 | spl8_150 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2251,f1088,f2271,f2287])). 119.69/119.03 tff(f2251,plain,( 119.69/119.03 ( ! [X0:$int] : ($less(sK6(sK2),0) | ~$less(sK6(sK2),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_152), 119.69/119.03 inference(trivial_inequality_removal,[],[f2247])). 119.69/119.03 tff(f2247,plain,( 119.69/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_152), 119.69/119.03 inference(superposition,[],[f269,f1089])). 119.69/119.03 tff(f2285,plain,( 119.69/119.03 spl8_324 | spl8_318 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2252,f1088,f2261,f2283])). 119.69/119.03 tff(f2281,plain,( 119.69/119.03 ~spl8_317 | spl8_318 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2253,f1088,f2261,f2279])). 119.69/119.03 tff(f2279,plain,( 119.69/119.03 spl8_317 <=> ~$less(sK7(sK2,sK6(sK2)),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_317])])). 119.69/119.03 tff(f2253,plain,( 119.69/119.03 zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK6(sK2)),0) | ~spl8_152), 119.69/119.03 inference(trivial_inequality_removal,[],[f2245])). 119.69/119.03 tff(f2245,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK2,sK6(sK2)) | ~$less(sK7(sK2,sK6(sK2)),0) | ~spl8_152), 119.69/119.03 inference(superposition,[],[f266,f1089])). 119.69/119.03 tff(f2277,plain,( 119.69/119.03 spl8_322 | spl8_318 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2254,f1088,f2261,f2275])). 119.69/119.03 tff(f2273,plain,( 119.69/119.03 ~spl8_149 | spl8_150 | ~spl8_26 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2255,f1088,f367,f2271,f2268])). 119.69/119.03 tff(f2255,plain,( 119.69/119.03 $less(sK6(sK2),0) | ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_152)), 119.69/119.03 inference(trivial_inequality_removal,[],[f2243])). 119.69/119.03 tff(f2243,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK2),0) | ~$less(sK6(sK2),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_152)), 119.69/119.03 inference(superposition,[],[f1313,f1089])). 119.69/119.03 tff(f2266,plain,( 119.69/119.03 spl8_316 | spl8_318 | ~spl8_321 | ~spl8_26 | ~spl8_152), 119.69/119.03 inference(avatar_split_clause,[],[f2256,f1088,f367,f2264,f2261,f2258])). 119.69/119.03 tff(f2264,plain,( 119.69/119.03 spl8_321 <=> ~$less(sK7(sK2,sK6(sK2)),length1(int,t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_321])])). 119.69/119.03 tff(f2256,plain,( 119.69/119.03 ~$less(sK7(sK2,sK6(sK2)),length1(int,t2tb1(sK2))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | (~spl8_26 | ~spl8_152)), 119.69/119.03 inference(trivial_inequality_removal,[],[f2242])). 119.69/119.03 tff(f2242,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK2,sK6(sK2)),length1(int,t2tb1(sK2))) | zero_at1(sK2,sK6(sK2)) | $less(sK7(sK2,sK6(sK2)),0) | (~spl8_26 | ~spl8_152)), 119.69/119.03 inference(superposition,[],[f1454,f1089])). 119.69/119.03 tff(f2232,plain,( 119.69/119.03 ~spl8_315 | spl8_175), 119.69/119.03 inference(avatar_split_clause,[],[f2228,f1170,f2230])). 119.69/119.03 tff(f2228,plain,( 119.69/119.03 ~zero_at1(sK2,sK3) | ~spl8_175), 119.69/119.03 inference(trivial_inequality_removal,[],[f2227])). 119.69/119.03 tff(f2227,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,sK3) | ~spl8_175), 119.69/119.03 inference(superposition,[],[f1171,f268])). 119.69/119.03 tff(f2212,plain,( 119.69/119.03 ~spl8_307 | spl8_312 | spl8_177), 119.69/119.03 inference(avatar_split_clause,[],[f2197,f1174,f2210,f2199])). 119.69/119.03 tff(f2199,plain,( 119.69/119.03 spl8_307 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(sK5)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_307])])). 119.69/119.03 tff(f2210,plain,( 119.69/119.03 spl8_312 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK5)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_312])])). 119.69/119.03 tff(f1174,plain,( 119.69/119.03 spl8_177 <=> ~zero_at1(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_177])])). 119.69/119.03 tff(f2197,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),t2tb1(sK5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(sK5))) | ~spl8_177), 119.69/119.03 inference(resolution,[],[f1175,f267])). 119.69/119.03 tff(f1175,plain,( 119.69/119.03 ~zero_at1(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | ~spl8_177), 119.69/119.03 inference(avatar_component_clause,[],[f1174])). 119.69/119.03 tff(f2208,plain,( 119.69/119.03 ~spl8_307 | ~spl8_311 | spl8_177), 119.69/119.03 inference(avatar_split_clause,[],[f2196,f1174,f2206,f2199])). 119.69/119.03 tff(f2206,plain,( 119.69/119.03 spl8_311 <=> ~$less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_311])])). 119.69/119.03 tff(f2196,plain,( 119.69/119.03 ~$less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(sK5))) | ~spl8_177), 119.69/119.03 inference(resolution,[],[f1175,f266])). 119.69/119.03 tff(f2204,plain,( 119.69/119.03 ~spl8_307 | spl8_308 | spl8_177), 119.69/119.03 inference(avatar_split_clause,[],[f2195,f1174,f2202,f2199])). 119.69/119.03 tff(f2195,plain,( 119.69/119.03 $less(sK7(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,1),length1(int,t2tb1(sK2))),t2tb1(sK5))) | ~spl8_177), 119.69/119.03 inference(resolution,[],[f1175,f265])). 119.69/119.03 tff(f2181,plain,( 119.69/119.03 ~spl8_233 | spl8_230 | ~spl8_224), 119.69/119.03 inference(avatar_split_clause,[],[f2177,f1477,f1538,f1541])). 119.69/119.03 tff(f1538,plain,( 119.69/119.03 spl8_230 <=> t2tb2(0) = t2tb2(sK4)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_230])])). 119.69/119.03 tff(f1477,plain,( 119.69/119.03 spl8_224 <=> some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK4)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_224])])). 119.69/119.03 tff(f2177,plain,( 119.69/119.03 t2tb2(0) = t2tb2(sK4) | ~sort1(int,t2tb2(0)) | ~spl8_224), 119.69/119.03 inference(superposition,[],[f261,f1478])). 119.69/119.03 tff(f1478,plain,( 119.69/119.03 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK4) | ~spl8_224), 119.69/119.03 inference(avatar_component_clause,[],[f1477])). 119.69/119.03 tff(f2180,plain,( 119.69/119.03 ~spl8_233 | spl8_230 | ~spl8_224), 119.69/119.03 inference(avatar_split_clause,[],[f2176,f1477,f1538,f1541])). 119.69/119.03 tff(f2176,plain,( 119.69/119.03 t2tb2(0) = t2tb2(sK4) | ~sort1(int,t2tb2(0)) | ~spl8_224), 119.69/119.03 inference(superposition,[],[f1478,f261])). 119.69/119.03 tff(f2166,plain,( 119.69/119.03 spl8_196 | spl8_304 | ~spl8_166), 119.69/119.03 inference(avatar_split_clause,[],[f2151,f1147,f2164,f2156])). 119.69/119.03 tff(f2164,plain,( 119.69/119.03 spl8_304 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK5),t2tb1(X0))) | ~zero_at1(X0,length1(int,t2tb1(sK2))))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_304])])). 119.69/119.03 tff(f2151,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK5),t2tb1(X0))) | $less(sK6(sK5),0) | ~zero_at1(X0,length1(int,t2tb1(sK2)))) ) | ~spl8_166), 119.69/119.03 inference(resolution,[],[f1148,f269])). 119.69/119.03 tff(f2162,plain,( 119.69/119.03 ~spl8_27 | spl8_196 | ~spl8_169 | ~spl8_166), 119.69/119.03 inference(avatar_split_clause,[],[f2150,f1147,f2160,f2156,f1010])). 119.69/119.03 tff(f2160,plain,( 119.69/119.03 spl8_169 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK5),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_169])])). 119.69/119.03 tff(f2150,plain,( 119.69/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK5),t2tb1(sK2))) | $less(sK6(sK5),0) | ~no_zero1(sK2) | ~spl8_166), 119.69/119.03 inference(resolution,[],[f1148,f250])). 119.69/119.03 tff(f2158,plain,( 119.69/119.03 ~spl8_303 | spl8_196 | ~spl8_26 | ~spl8_166), 119.69/119.03 inference(avatar_split_clause,[],[f2149,f1147,f367,f2156,f2153])). 119.69/119.03 tff(f2153,plain,( 119.69/119.03 spl8_303 <=> ~zero_at1(sK2,sK6(sK5))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_303])])). 119.69/119.03 tff(f2149,plain,( 119.69/119.03 $less(sK6(sK5),0) | ~zero_at1(sK2,sK6(sK5)) | (~spl8_26 | ~spl8_166)), 119.69/119.03 inference(resolution,[],[f1148,f1456])). 119.69/119.03 tff(f2148,plain,( 119.69/119.03 spl8_220 | spl8_300 | ~spl8_218), 119.69/119.03 inference(avatar_split_clause,[],[f2141,f1440,f2146,f2143])). 119.69/119.03 tff(f2146,plain,( 119.69/119.03 spl8_300 <=> ! [X0 : list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK5,sK0),t2tb1(X0))) | ~zero_at1(X0,sK0))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_300])])). 119.69/119.03 tff(f1440,plain,( 119.69/119.03 spl8_218 <=> $less(sK7(sK5,sK0),sK0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_218])])). 119.69/119.03 tff(f2141,plain,( 119.69/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK7(sK5,sK0),t2tb1(X0))) | $less(sK7(sK5,sK0),0) | ~zero_at1(X0,sK0)) ) | ~spl8_218), 119.69/119.03 inference(resolution,[],[f1441,f269])). 119.69/119.03 tff(f1441,plain,( 119.69/119.03 $less(sK7(sK5,sK0),sK0) | ~spl8_218), 119.69/119.03 inference(avatar_component_clause,[],[f1440])). 119.69/119.03 tff(f2022,plain,( 119.69/119.03 spl8_298 | ~spl8_36 | ~spl8_142), 119.69/119.03 inference(avatar_split_clause,[],[f2018,f1045,f482,f2020])). 119.69/119.03 tff(f2020,plain,( 119.69/119.03 spl8_298 <=> cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_298])])). 119.69/119.03 tff(f1045,plain,( 119.69/119.03 spl8_142 <=> tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK2)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_142])])). 119.69/119.03 tff(f2018,plain,( 119.69/119.03 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2)) | (~spl8_36 | ~spl8_142)), 119.69/119.03 inference(forward_demodulation,[],[f1051,f483])). 119.69/119.03 tff(f1051,plain,( 119.69/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2)) | ~spl8_142), 119.69/119.03 inference(forward_demodulation,[],[f1050,f234])). 119.69/119.03 tff(f1050,plain,( 119.69/119.03 cons(int,t2tb2(sK4),t2tb1(sK2)) = t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_142), 119.69/119.03 inference(superposition,[],[f234,f1046])). 119.69/119.03 tff(f1046,plain,( 119.69/119.03 tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK2))) | ~spl8_142), 119.69/119.03 inference(avatar_component_clause,[],[f1045])). 119.69/119.03 tff(f2017,plain,( 119.69/119.03 ~spl8_227 | spl8_296 | ~spl8_36 | spl8_41 | ~spl8_142 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f1399,f1101,f1045,f522,f482,f2013,f2005])). 119.69/119.03 tff(f2005,plain,( 119.69/119.03 spl8_227 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_227])])). 119.69/119.03 tff(f2013,plain,( 119.69/119.03 spl8_296 <=> cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),t2tb1(sK2))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_296])])). 119.69/119.03 tff(f1399,plain,( 119.69/119.03 cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1398,f273])). 119.69/119.03 tff(f1398,plain,( 119.69/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1397,f483])). 119.69/119.03 tff(f1397,plain,( 119.69/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | (~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1049,f1102])). 119.69/119.03 tff(f1049,plain,( 119.69/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | (~spl8_41 | ~spl8_142)), 119.69/119.03 inference(superposition,[],[f724,f1046])). 119.69/119.03 tff(f2016,plain,( 119.69/119.03 ~spl8_227 | spl8_296 | ~spl8_36 | spl8_41 | ~spl8_142 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f1430,f1101,f1045,f522,f482,f2013,f2005])). 119.69/119.03 tff(f1430,plain,( 119.69/119.03 cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1429,f273])). 119.69/119.03 tff(f1429,plain,( 119.69/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1424,f483])). 119.69/119.03 tff(f1424,plain,( 119.69/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | (~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1405,f1046])). 119.69/119.03 tff(f2015,plain,( 119.69/119.03 spl8_290 | spl8_296 | ~spl8_36 | spl8_41 | ~spl8_142 | ~spl8_154), 119.69/119.03 inference(avatar_split_clause,[],[f1950,f1101,f1045,f522,f482,f2013,f1988])). 119.69/119.03 tff(f1988,plain,( 119.69/119.03 spl8_290 <=> ! [X5 : $int,X7 : uni,X8 : uni,X6 : ty] : (~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X5) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7)))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_290])])). 119.69/119.03 tff(f1950,plain,( 119.69/119.03 ( ! [X6:ty,X8:uni,X7:uni,X5:$int] : (cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X5) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7))) ) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1949,f273])). 119.69/119.03 tff(f1949,plain,( 119.69/119.03 ( ! [X6:ty,X8:uni,X7:uni,X5:$int] : (~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X5) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7))) ) | (~spl8_36 | ~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(forward_demodulation,[],[f1941,f483])). 119.69/119.03 tff(f1941,plain,( 119.69/119.03 ( ! [X6:ty,X8:uni,X7:uni,X5:$int] : (~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),X5) | cons(int,t2tb2(sK4),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK4),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK4),t2tb1(sK2)))) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7))) ) | (~spl8_41 | ~spl8_142 | ~spl8_154)), 119.69/119.03 inference(superposition,[],[f1425,f1046])). 119.69/119.03 tff(f2011,plain,( 119.69/119.03 ~spl8_85 | spl8_228 | ~spl8_36 | ~spl8_138), 119.69/119.03 inference(avatar_split_clause,[],[f2010,f1033,f482,f1532,f850])). 119.69/119.03 tff(f850,plain,( 119.69/119.03 spl8_85 <=> ~sort1(int,t2tb2(sK4))), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_85])])). 119.69/119.03 tff(f1532,plain,( 119.69/119.03 spl8_228 <=> cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(sK4)), 119.69/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_228])])). 119.72/119.03 tff(f1033,plain,( 119.72/119.03 spl8_138 <=> cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_138])])). 119.72/119.03 tff(f2010,plain,( 119.72/119.03 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(sK4) | ~sort1(int,t2tb2(sK4)) | (~spl8_36 | ~spl8_138)), 119.72/119.03 inference(forward_demodulation,[],[f1071,f483])). 119.72/119.03 tff(f1071,plain,( 119.72/119.03 cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb2(sK4) | ~sort1(int,t2tb2(sK4)) | ~spl8_138), 119.72/119.03 inference(superposition,[],[f277,f1034])). 119.72/119.03 tff(f1034,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2)) | ~spl8_138), 119.72/119.03 inference(avatar_component_clause,[],[f1033])). 119.72/119.03 tff(f277,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )), 119.72/119.03 inference(cnf_transformation,[],[f108])). 119.72/119.03 tff(f108,plain,( 119.72/119.03 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))), 119.72/119.03 inference(ennf_transformation,[],[f86])). 119.72/119.03 tff(f86,plain,( 119.72/119.03 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => cons_proj_11(X0,cons(X0,X1,X2)) = X1)), 119.72/119.03 inference(rectify,[],[f2])). 119.72/119.03 tff(f2,axiom,( 119.72/119.03 ! [X1 : ty,X2 : uni,X3 : uni] : (sort1(X1,X2) => cons_proj_11(X1,cons(X1,X2,X3)) = X2)), 119.72/119.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def1)). 119.72/119.03 tff(f2009,plain,( 119.72/119.03 ~spl8_227 | spl8_292 | ~spl8_36 | spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f2008,f1101,f1045,f1033,f522,f482,f1991,f2005])). 119.72/119.03 tff(f2008,plain,( 119.72/119.03 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1400,f483])). 119.72/119.03 tff(f1400,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1399,f1034])). 119.72/119.03 tff(f2007,plain,( 119.72/119.03 ~spl8_227 | spl8_292 | ~spl8_36 | spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f2003,f1101,f1045,f1033,f522,f482,f1991,f2005])). 119.72/119.03 tff(f2003,plain,( 119.72/119.03 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1431,f483])). 119.72/119.03 tff(f1431,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1430,f1034])). 119.72/119.03 tff(f2002,plain,( 119.72/119.03 spl8_292 | ~spl8_36 | spl8_41 | ~spl8_144 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f2001,f1101,f1061,f522,f482,f1991])). 119.72/119.03 tff(f2001,plain,( 119.72/119.03 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | (~spl8_36 | ~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1485,f483])). 119.72/119.03 tff(f1485,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1480,f273])). 119.72/119.03 tff(f1480,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(resolution,[],[f1062,f1405])). 119.72/119.03 tff(f2000,plain,( 119.72/119.03 spl8_292 | ~spl8_36 | spl8_41 | ~spl8_144 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1999,f1101,f1061,f522,f482,f1991])). 119.72/119.03 tff(f1999,plain,( 119.72/119.03 cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | (~spl8_36 | ~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1616,f483])). 119.72/119.03 tff(f1616,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1615,f273])). 119.72/119.03 tff(f1615,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1613,f234])). 119.72/119.03 tff(f1613,plain,( 119.72/119.03 cons(int,cons_proj_11(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))),cons_proj_21(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) = t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(resolution,[],[f1404,f1062])). 119.72/119.03 tff(f1998,plain,( 119.72/119.03 spl8_294 | spl8_292 | ~spl8_36 | spl8_41 | ~spl8_144 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1994,f1101,f1061,f522,f482,f1991,f1996])). 119.72/119.03 tff(f1994,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_36 | ~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1943,f483])). 119.72/119.03 tff(f1943,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1942,f273])). 119.72/119.03 tff(f1942,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,-1,X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(evaluation,[],[f1936])). 119.72/119.03 tff(f1936,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | nth1(X0,$sum(0,-1),X1) = nth1(X0,0,cons(X0,X2,X1))) ) | (~spl8_41 | ~spl8_144 | ~spl8_154)), 119.72/119.03 inference(resolution,[],[f1425,f1062])). 119.72/119.03 tff(f1993,plain,( 119.72/119.03 spl8_290 | spl8_292 | ~spl8_36 | spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1986,f1101,f1045,f1033,f522,f482,f1991,f1988])). 119.72/119.03 tff(f1986,plain,( 119.72/119.03 ( ! [X6:ty,X8:uni,X7:uni,X5:$int] : (cons(int,t2tb2(0),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X5) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7))) ) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1951,f483])). 119.72/119.03 tff(f1951,plain,( 119.72/119.03 ( ! [X6:ty,X8:uni,X7:uni,X5:$int] : (cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))),t2tb1(sK2)) | ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),X5) | nth1(X6,$sum(X5,-1),X7) = nth1(X6,X5,cons(X6,X8,X7))) ) | (~spl8_36 | ~spl8_41 | ~spl8_138 | ~spl8_142 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1950,f1034])). 119.72/119.03 tff(f1985,plain,( 119.72/119.03 spl8_233), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1983])). 119.72/119.03 tff(f1983,plain,( 119.72/119.03 $false | ~spl8_233), 119.72/119.03 inference(resolution,[],[f1542,f233])). 119.72/119.03 tff(f1542,plain,( 119.72/119.03 ~sort1(int,t2tb2(0)) | ~spl8_233), 119.72/119.03 inference(avatar_component_clause,[],[f1541])). 119.72/119.03 tff(f1852,plain,( 119.72/119.03 spl8_234 | spl8_288 | ~spl8_104), 119.72/119.03 inference(avatar_split_clause,[],[f1846,f908,f1850,f1603])). 119.72/119.03 tff(f1846,plain,( 119.72/119.03 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | 0 = sK3) ) | ~spl8_104), 119.72/119.03 inference(superposition,[],[f1107,f287])). 119.72/119.03 tff(f1841,plain,( 119.72/119.03 spl8_286 | ~spl8_36 | ~spl8_162), 119.72/119.03 inference(avatar_split_clause,[],[f1834,f1121,f482,f1839])). 119.72/119.03 tff(f1834,plain,( 119.72/119.03 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2))) | (~spl8_36 | ~spl8_162)), 119.72/119.03 inference(superposition,[],[f1122,f483])). 119.72/119.03 tff(f1833,plain,( 119.72/119.03 spl8_284 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1829,f1116,f482,f1831])). 119.72/119.03 tff(f1829,plain,( 119.72/119.03 some(int,t2tb2(0)) = nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2)) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1828,f483])). 119.72/119.03 tff(f1827,plain,( 119.72/119.03 ~spl8_27 | spl8_270 | ~spl8_273 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1826,f1116,f482,f1795,f1792,f1010])). 119.72/119.03 tff(f1795,plain,( 119.72/119.03 spl8_273 <=> ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_273])])). 119.72/119.03 tff(f1826,plain,( 119.72/119.03 ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~no_zero1(sK2) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1825,f483])). 119.72/119.03 tff(f1825,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | ~no_zero1(sK2) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1777,f483])). 119.72/119.03 tff(f1824,plain,( 119.72/119.03 spl8_270 | spl8_282 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1820,f1116,f482,f1822,f1792])). 119.72/119.03 tff(f1820,plain,( 119.72/119.03 ( ! [X0:$int] : (~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),X0) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~zero_at1(sK2,X0)) ) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1819,f483])). 119.72/119.03 tff(f1819,plain,( 119.72/119.03 ( ! [X0:$int] : ($less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),X0) | ~zero_at1(sK2,X0)) ) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1779,f483])). 119.72/119.03 tff(f1818,plain,( 119.72/119.03 spl8_274 | spl8_280 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1814,f1116,f482,f1816,f1801])). 119.72/119.03 tff(f1814,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),t2tb1(sK2))) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1813,f483])). 119.72/119.03 tff(f1813,plain,( 119.72/119.03 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),t2tb1(sK2))) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1780,f483])). 119.72/119.03 tff(f1812,plain,( 119.72/119.03 spl8_274 | ~spl8_279 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1808,f1116,f482,f1810,f1801])). 119.72/119.03 tff(f1808,plain,( 119.72/119.03 ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),0) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1807,f483])). 119.72/119.03 tff(f1807,plain,( 119.72/119.03 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | ~$less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),0) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1781,f483])). 119.72/119.03 tff(f1806,plain,( 119.72/119.03 spl8_274 | spl8_276 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1799,f1116,f482,f1804,f1801])). 119.72/119.03 tff(f1799,plain,( 119.72/119.03 $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1798,f483])). 119.72/119.03 tff(f1798,plain,( 119.72/119.03 zero_at1(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1)) | $less(sK7(sK2,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)),$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1)) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1782,f483])). 119.72/119.03 tff(f1797,plain,( 119.72/119.03 spl8_270 | ~spl8_273 | ~spl8_26 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1790,f1116,f482,f367,f1795,f1792])). 119.72/119.03 tff(f1790,plain,( 119.72/119.03 ~$less($sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | (~spl8_26 | ~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1789,f483])). 119.72/119.03 tff(f1789,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_36 | ~spl8_160)), 119.72/119.03 inference(forward_demodulation,[],[f1784,f483])). 119.72/119.03 tff(f1784,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),1) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_160)), 119.72/119.03 inference(evaluation,[],[f1783])). 119.72/119.03 tff(f1783,plain,( 119.72/119.03 $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_160)), 119.72/119.03 inference(trivial_inequality_removal,[],[f1769])). 119.72/119.03 tff(f1769,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),0) | ~$less($sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),length1(int,t2tb1(sK2))) | (~spl8_26 | ~spl8_160)), 119.72/119.03 inference(superposition,[],[f1313,f1117])). 119.72/119.03 tff(f1788,plain,( 119.72/119.03 spl8_268 | ~spl8_36 | ~spl8_160), 119.72/119.03 inference(avatar_split_clause,[],[f1768,f1116,f482,f1786])). 119.72/119.03 tff(f1786,plain,( 119.72/119.03 spl8_268 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_268])])). 119.72/119.03 tff(f1768,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),-1),t2tb1(sK2))) | (~spl8_36 | ~spl8_160)), 119.72/119.03 inference(superposition,[],[f1117,f483])). 119.72/119.03 tff(f1748,plain,( 119.72/119.03 spl8_266 | ~spl8_214), 119.72/119.03 inference(avatar_split_clause,[],[f1744,f1382,f1746])). 119.72/119.03 tff(f1744,plain,( 119.72/119.03 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2))) | ~spl8_214), 119.72/119.03 inference(forward_demodulation,[],[f1736,f238])). 119.72/119.03 tff(f1736,plain,( 119.72/119.03 nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_214), 119.72/119.03 inference(superposition,[],[f238,f1383])). 119.72/119.03 tff(f1743,plain,( 119.72/119.03 spl8_262 | spl8_264 | ~spl8_214), 119.72/119.03 inference(avatar_split_clause,[],[f1735,f1382,f1741,f1738])). 119.72/119.03 tff(f1735,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(nil(int))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(nil(int))) | ~spl8_214), 119.72/119.03 inference(superposition,[],[f1383,f287])). 119.72/119.03 tff(f1706,plain,( 119.72/119.03 ~spl8_261 | ~spl8_154 | spl8_157), 119.72/119.03 inference(avatar_split_clause,[],[f1702,f1104,f1101,f1704])). 119.72/119.03 tff(f1104,plain,( 119.72/119.03 spl8_157 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,$uminus(sK0)),-1),t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_157])])). 119.72/119.03 tff(f1702,plain,( 119.72/119.03 ~zero_at1(sK2,-1) | (~spl8_154 | ~spl8_157)), 119.72/119.03 inference(evaluation,[],[f1701])). 119.72/119.03 tff(f1701,plain,( 119.72/119.03 ~zero_at1(sK2,$sum(0,-1)) | (~spl8_154 | ~spl8_157)), 119.72/119.03 inference(forward_demodulation,[],[f1695,f1102])). 119.72/119.03 tff(f1695,plain,( 119.72/119.03 ~zero_at1(sK2,$sum($sum(sK0,$uminus(sK0)),-1)) | ~spl8_157), 119.72/119.03 inference(trivial_inequality_removal,[],[f1694])). 119.72/119.03 tff(f1694,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,$sum($sum(sK0,$uminus(sK0)),-1)) | ~spl8_157), 119.72/119.03 inference(superposition,[],[f1105,f268])). 119.72/119.03 tff(f1105,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,$uminus(sK0)),-1),t2tb1(sK2))) | ~spl8_157), 119.72/119.03 inference(avatar_component_clause,[],[f1104])). 119.72/119.03 tff(f1700,plain,( 119.72/119.03 ~spl8_259 | ~spl8_154 | spl8_157), 119.72/119.03 inference(avatar_split_clause,[],[f1696,f1104,f1101,f1698])). 119.72/119.03 tff(f1696,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,-1,t2tb1(sK2))) | (~spl8_154 | ~spl8_157)), 119.72/119.03 inference(evaluation,[],[f1693])). 119.72/119.03 tff(f1693,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(0,-1),t2tb1(sK2))) | (~spl8_154 | ~spl8_157)), 119.72/119.03 inference(superposition,[],[f1105,f1102])). 119.72/119.03 tff(f1692,plain,( 119.72/119.03 ~spl8_257 | spl8_137), 119.72/119.03 inference(avatar_split_clause,[],[f1631,f1027,f1690])). 119.72/119.03 tff(f1631,plain,( 119.72/119.03 ~zero_at1(sK2,$sum($sum(sK3,$uminus(sK0)),-1)) | ~spl8_137), 119.72/119.03 inference(trivial_inequality_removal,[],[f1630])). 119.72/119.03 tff(f1630,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK2,$sum($sum(sK3,$uminus(sK0)),-1)) | ~spl8_137), 119.72/119.03 inference(superposition,[],[f1028,f268])). 119.72/119.03 tff(f1688,plain,( 119.72/119.03 ~spl8_255 | spl8_185 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1650,f1603,f1200,f1686])). 119.72/119.03 tff(f1686,plain,( 119.72/119.03 spl8_255 <=> ~$less(sK7(tb2t1(nil(int)),$sum(0,$uminus(sK0))),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_255])])). 119.72/119.03 tff(f1650,plain,( 119.72/119.03 ~$less(sK7(tb2t1(nil(int)),$sum(0,$uminus(sK0))),0) | (~spl8_185 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f1201,f1604])). 119.72/119.03 tff(f1604,plain,( 119.72/119.03 0 = sK3 | ~spl8_234), 119.72/119.03 inference(avatar_component_clause,[],[f1603])). 119.72/119.03 tff(f1684,plain,( 119.72/119.03 ~spl8_253 | spl8_137 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1651,f1603,f1027,f1682])). 119.72/119.03 tff(f1682,plain,( 119.72/119.03 spl8_253 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($uminus(sK0),-1),t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_253])])). 119.72/119.03 tff(f1651,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($uminus(sK0),-1),t2tb1(sK2))) | (~spl8_137 | ~spl8_234)), 119.72/119.03 inference(evaluation,[],[f1647])). 119.72/119.03 tff(f1647,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(0,$uminus(sK0)),-1),t2tb1(sK2))) | (~spl8_137 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f1028,f1604])). 119.72/119.03 tff(f1680,plain,( 119.72/119.03 spl8_250 | ~spl8_128 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1652,f1603,f1006,f1678])). 119.72/119.03 tff(f1652,plain,( 119.72/119.03 $less($uminus($sum(sK0,1)),0) | (~spl8_128 | ~spl8_234)), 119.72/119.03 inference(evaluation,[],[f1646])). 119.72/119.03 tff(f1646,plain,( 119.72/119.03 $less($sum(0,$uminus($sum(sK0,1))),0) | (~spl8_128 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f1007,f1604])). 119.72/119.03 tff(f1676,plain,( 119.72/119.03 spl8_248 | ~spl8_36 | ~spl8_66 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1672,f1603,f985,f482,f1674])). 119.72/119.03 tff(f1674,plain,( 119.72/119.03 spl8_248 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(0,$uminus(sK0))),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_248])])). 119.72/119.03 tff(f1672,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(0,$uminus(sK0))),0) | (~spl8_36 | ~spl8_66 | ~spl8_234)), 119.72/119.03 inference(forward_demodulation,[],[f1645,f483])). 119.72/119.03 tff(f1645,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(0,$uminus(sK0))),0) | (~spl8_66 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f986,f1604])). 119.72/119.03 tff(f1671,plain,( 119.72/119.03 spl8_244 | ~spl8_114 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1644,f1603,f940,f1663])). 119.72/119.03 tff(f1663,plain,( 119.72/119.03 spl8_244 <=> $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(0,$uminus(sK0))),$sum(0,$uminus(sK0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_244])])). 119.72/119.03 tff(f1644,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(0,$uminus(sK0))),$sum(0,$uminus(sK0))) | (~spl8_114 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f941,f1604])). 119.72/119.03 tff(f1670,plain,( 119.72/119.03 ~spl8_247 | ~spl8_36 | spl8_65 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1666,f1603,f762,f482,f1668])). 119.72/119.03 tff(f1668,plain,( 119.72/119.03 spl8_247 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_247])])). 119.72/119.03 tff(f1666,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_65 | ~spl8_234)), 119.72/119.03 inference(forward_demodulation,[],[f1642,f483])). 119.72/119.03 tff(f1642,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(0,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_65 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f763,f1604])). 119.72/119.03 tff(f1665,plain,( 119.72/119.03 spl8_244 | ~spl8_36 | ~spl8_62 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1661,f1603,f759,f482,f1663])). 119.72/119.03 tff(f1661,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(0,$uminus(sK0))),$sum(0,$uminus(sK0))) | (~spl8_36 | ~spl8_62 | ~spl8_234)), 119.72/119.03 inference(forward_demodulation,[],[f1641,f483])). 119.72/119.03 tff(f1641,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(0,$uminus(sK0))),$sum(0,$uminus(sK0))) | (~spl8_62 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f760,f1604])). 119.72/119.03 tff(f1660,plain,( 119.72/119.03 spl8_242 | ~spl8_32 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1639,f1603,f388,f1658])). 119.72/119.03 tff(f1658,plain,( 119.72/119.03 spl8_242 <=> $less(0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_242])])). 119.72/119.03 tff(f1639,plain,( 119.72/119.03 $less(0,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | (~spl8_32 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f389,f1604])). 119.72/119.03 tff(f1656,plain,( 119.72/119.03 spl8_240 | ~spl8_6 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1638,f1603,f322,f1654])). 119.72/119.03 tff(f1638,plain,( 119.72/119.03 $less(0,sK0) | (~spl8_6 | ~spl8_234)), 119.72/119.03 inference(superposition,[],[f323,f1604])). 119.72/119.03 tff(f1637,plain,( 119.72/119.03 ~spl8_239 | spl8_137 | ~spl8_234), 119.72/119.03 inference(avatar_split_clause,[],[f1633,f1603,f1027,f1635])). 119.72/119.03 tff(f1635,plain,( 119.72/119.03 spl8_239 <=> ~zero_at1(sK2,$sum($uminus(sK0),-1))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_239])])). 119.72/119.03 tff(f1633,plain,( 119.72/119.03 ~zero_at1(sK2,$sum($uminus(sK0),-1)) | (~spl8_137 | ~spl8_234)), 119.72/119.03 inference(evaluation,[],[f1632])). 119.72/119.03 tff(f1632,plain,( 119.72/119.03 ~zero_at1(sK2,$sum($sum(0,$uminus(sK0)),-1)) | (~spl8_137 | ~spl8_234)), 119.72/119.03 inference(forward_demodulation,[],[f1631,f1604])). 119.72/119.03 tff(f1608,plain,( 119.72/119.03 spl8_234 | spl8_236 | ~spl8_50), 119.72/119.03 inference(avatar_split_clause,[],[f1599,f696,f1606,f1603])). 119.72/119.03 tff(f1599,plain,( 119.72/119.03 ( ! [X0:uni,X1:uni] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,-1),X1)) | ~zero_at1(tb2t1(cons(int,X0,X1)),sK0) | 0 = sK3) ) | ~spl8_50), 119.72/119.03 inference(superposition,[],[f1096,f287])). 119.72/119.03 tff(f1588,plain,( 119.72/119.03 spl8_118 | ~spl8_36 | ~spl8_66), 119.72/119.03 inference(avatar_split_clause,[],[f1581,f985,f482,f1586])). 119.72/119.03 tff(f1581,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | (~spl8_36 | ~spl8_66)), 119.72/119.03 inference(superposition,[],[f986,f483])). 119.72/119.03 tff(f1546,plain,( 119.72/119.03 spl8_230 | ~spl8_233 | ~spl8_36 | ~spl8_86), 119.72/119.03 inference(avatar_split_clause,[],[f1545,f853,f482,f1541,f1538])). 119.72/119.03 tff(f853,plain,( 119.72/119.03 spl8_86 <=> cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb2(sK4)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_86])])). 119.72/119.03 tff(f1545,plain,( 119.72/119.03 ~sort1(int,t2tb2(0)) | t2tb2(0) = t2tb2(sK4) | (~spl8_36 | ~spl8_86)), 119.72/119.03 inference(forward_demodulation,[],[f1544,f483])). 119.72/119.03 tff(f1544,plain,( 119.72/119.03 t2tb2(0) = t2tb2(sK4) | ~sort1(int,t2tb2(sK1)) | (~spl8_36 | ~spl8_86)), 119.72/119.03 inference(forward_demodulation,[],[f1528,f483])). 119.72/119.03 tff(f1528,plain,( 119.72/119.03 t2tb2(sK1) = t2tb2(sK4) | ~sort1(int,t2tb2(sK1)) | ~spl8_86), 119.72/119.03 inference(superposition,[],[f277,f854])). 119.72/119.03 tff(f854,plain,( 119.72/119.03 cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb2(sK4) | ~spl8_86), 119.72/119.03 inference(avatar_component_clause,[],[f853])). 119.72/119.03 tff(f1543,plain,( 119.72/119.03 spl8_230 | ~spl8_233 | ~spl8_36 | ~spl8_86), 119.72/119.03 inference(avatar_split_clause,[],[f1536,f853,f482,f1541,f1538])). 119.72/119.03 tff(f1536,plain,( 119.72/119.03 ~sort1(int,t2tb2(0)) | t2tb2(0) = t2tb2(sK4) | (~spl8_36 | ~spl8_86)), 119.72/119.03 inference(forward_demodulation,[],[f1535,f483])). 119.72/119.03 tff(f1535,plain,( 119.72/119.03 t2tb2(0) = t2tb2(sK4) | ~sort1(int,t2tb2(sK1)) | (~spl8_36 | ~spl8_86)), 119.72/119.03 inference(forward_demodulation,[],[f1527,f483])). 119.72/119.03 tff(f1527,plain,( 119.72/119.03 t2tb2(sK1) = t2tb2(sK4) | ~sort1(int,t2tb2(sK1)) | ~spl8_86), 119.72/119.03 inference(superposition,[],[f854,f277])). 119.72/119.03 tff(f1534,plain,( 119.72/119.03 spl8_228 | ~spl8_36 | ~spl8_86), 119.72/119.03 inference(avatar_split_clause,[],[f1526,f853,f482,f1532])). 119.72/119.03 tff(f1526,plain,( 119.72/119.03 cons_proj_11(int,cons(int,t2tb2(0),t2tb1(sK2))) = t2tb2(sK4) | (~spl8_36 | ~spl8_86)), 119.72/119.03 inference(superposition,[],[f854,f483])). 119.72/119.03 tff(f1512,plain,( 119.72/119.03 spl8_90 | ~spl8_36 | ~spl8_54), 119.72/119.03 inference(avatar_split_clause,[],[f1502,f964,f482,f1510])). 119.72/119.03 tff(f1502,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | (~spl8_36 | ~spl8_54)), 119.72/119.03 inference(superposition,[],[f965,f483])). 119.72/119.03 tff(f1508,plain,( 119.72/119.03 spl8_96 | ~spl8_36 | ~spl8_54), 119.72/119.03 inference(avatar_split_clause,[],[f1504,f964,f482,f1506])). 119.72/119.03 tff(f1504,plain,( 119.72/119.03 no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_54)), 119.72/119.03 inference(forward_demodulation,[],[f1500,f483])). 119.72/119.03 tff(f1492,plain,( 119.72/119.03 spl8_226 | ~spl8_36 | ~spl8_144), 119.72/119.03 inference(avatar_split_clause,[],[f1483,f1061,f482,f1490])). 119.72/119.03 tff(f1483,plain,( 119.72/119.03 zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0) | (~spl8_36 | ~spl8_144)), 119.72/119.03 inference(superposition,[],[f1062,f483])). 119.72/119.03 tff(f1479,plain,( 119.72/119.03 ~spl8_85 | spl8_224 | ~spl8_36 | ~spl8_88), 119.72/119.03 inference(avatar_split_clause,[],[f1475,f858,f482,f1477,f850])). 119.72/119.03 tff(f858,plain,( 119.72/119.03 spl8_88 <=> some(int,t2tb2(sK1)) = some(int,t2tb2(sK4))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_88])])). 119.72/119.03 tff(f1475,plain,( 119.72/119.03 some_proj_11(int,some(int,t2tb2(0))) = t2tb2(sK4) | ~sort1(int,t2tb2(sK4)) | (~spl8_36 | ~spl8_88)), 119.72/119.03 inference(forward_demodulation,[],[f1472,f483])). 119.72/119.03 tff(f1472,plain,( 119.72/119.03 some_proj_11(int,some(int,t2tb2(sK1))) = t2tb2(sK4) | ~sort1(int,t2tb2(sK4)) | ~spl8_88), 119.72/119.03 inference(superposition,[],[f261,f859])). 119.72/119.03 tff(f859,plain,( 119.72/119.03 some(int,t2tb2(sK1)) = some(int,t2tb2(sK4)) | ~spl8_88), 119.72/119.03 inference(avatar_component_clause,[],[f858])). 119.72/119.03 tff(f1450,plain,( 119.72/119.03 ~spl8_217 | spl8_222 | spl8_173), 119.72/119.03 inference(avatar_split_clause,[],[f1435,f1167,f1448,f1437])). 119.72/119.03 tff(f1437,plain,( 119.72/119.03 spl8_217 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK5)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_217])])). 119.72/119.03 tff(f1448,plain,( 119.72/119.03 spl8_222 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK5,sK0),t2tb1(sK5)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_222])])). 119.72/119.03 tff(f1167,plain,( 119.72/119.03 spl8_173 <=> ~zero_at1(sK5,sK0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_173])])). 119.72/119.03 tff(f1435,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK5,sK0),t2tb1(sK5))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK5))) | ~spl8_173), 119.72/119.03 inference(resolution,[],[f1168,f267])). 119.72/119.03 tff(f1168,plain,( 119.72/119.03 ~zero_at1(sK5,sK0) | ~spl8_173), 119.72/119.03 inference(avatar_component_clause,[],[f1167])). 119.72/119.03 tff(f1446,plain,( 119.72/119.03 ~spl8_217 | ~spl8_221 | spl8_173), 119.72/119.03 inference(avatar_split_clause,[],[f1434,f1167,f1444,f1437])). 119.72/119.03 tff(f1444,plain,( 119.72/119.03 spl8_221 <=> ~$less(sK7(sK5,sK0),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_221])])). 119.72/119.03 tff(f1434,plain,( 119.72/119.03 ~$less(sK7(sK5,sK0),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK5))) | ~spl8_173), 119.72/119.03 inference(resolution,[],[f1168,f266])). 119.72/119.03 tff(f1442,plain,( 119.72/119.03 ~spl8_217 | spl8_218 | spl8_173), 119.72/119.03 inference(avatar_split_clause,[],[f1433,f1167,f1440,f1437])). 119.72/119.03 tff(f1433,plain,( 119.72/119.03 $less(sK7(sK5,sK0),sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK0,t2tb1(sK5))) | ~spl8_173), 119.72/119.03 inference(resolution,[],[f1168,f265])). 119.72/119.03 tff(f1412,plain,( 119.72/119.03 ~spl8_191 | spl8_41 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1411,f1101,f522,f1392])). 119.72/119.03 tff(f1392,plain,( 119.72/119.03 spl8_191 <=> ~zero_at1(tb2t1(nil(int)),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_191])])). 119.72/119.03 tff(f1411,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),0) | (~spl8_41 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f523,f1102])). 119.72/119.03 tff(f1410,plain,( 119.72/119.03 ~spl8_191 | spl8_41 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1409,f1101,f522,f1392])). 119.72/119.03 tff(f1409,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),0) | (~spl8_41 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1385,f1102])). 119.72/119.03 tff(f1385,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(trivial_inequality_removal,[],[f826])). 119.72/119.03 tff(f826,plain,( 119.72/119.03 0 != 0 | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(superposition,[],[f723,f245])). 119.72/119.03 tff(f245,plain,( 119.72/119.03 ( ! [X0:ty] : (length1(X0,nil(X0)) = 0) )), 119.72/119.03 inference(cnf_transformation,[],[f64])). 119.72/119.03 tff(f723,plain,( 119.72/119.03 ( ! [X0:uni] : (length1(int,X0) != 0 | ~zero_at1(tb2t1(X0),$sum(sK0,$uminus(sK0)))) ) | ~spl8_41), 119.72/119.03 inference(superposition,[],[f523,f264])). 119.72/119.03 tff(f1394,plain,( 119.72/119.03 ~spl8_191 | spl8_41 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1390,f1101,f522,f1392])). 119.72/119.03 tff(f1390,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),0) | (~spl8_41 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1387,f1102])). 119.72/119.03 tff(f1387,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(trivial_inequality_removal,[],[f825])). 119.72/119.03 tff(f825,plain,( 119.72/119.03 0 != 0 | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(superposition,[],[f723,f286])). 119.72/119.03 tff(f286,plain,( 119.72/119.03 ( ! [X0:ty] : (length1(X0,nil(X0)) = 0) )), 119.72/119.03 inference(equality_resolution,[],[f263])). 119.72/119.03 tff(f263,plain,( 119.72/119.03 ( ! [X0:ty,X1:uni] : (length1(X0,X1) = 0 | nil(X0) != X1) )), 119.72/119.03 inference(cnf_transformation,[],[f122])). 119.72/119.03 tff(f1384,plain,( 119.72/119.03 spl8_214 | ~spl8_36 | ~spl8_182), 119.72/119.03 inference(avatar_split_clause,[],[f1380,f1196,f482,f1382])). 119.72/119.03 tff(f1380,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_182)), 119.72/119.03 inference(forward_demodulation,[],[f1197,f483])). 119.72/119.03 tff(f1379,plain,( 119.72/119.03 spl8_46 | ~spl8_190), 119.72/119.03 inference(avatar_split_clause,[],[f1343,f1219,f688])). 119.72/119.03 tff(f688,plain,( 119.72/119.03 spl8_46 <=> tb2t(none(int)) = tb2t(some(int,t2tb2(0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_46])])). 119.72/119.03 tff(f1219,plain,( 119.72/119.03 spl8_190 <=> zero_at1(tb2t1(nil(int)),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_190])])). 119.72/119.03 tff(f1343,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(some(int,t2tb2(0))) | ~spl8_190), 119.72/119.03 inference(forward_demodulation,[],[f1342,f259])). 119.72/119.03 tff(f1342,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,nil(int))) | ~spl8_190), 119.72/119.03 inference(forward_demodulation,[],[f1337,f234])). 119.72/119.03 tff(f1337,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(tb2t1(nil(int))))) | ~spl8_190), 119.72/119.03 inference(resolution,[],[f1220,f268])). 119.72/119.03 tff(f1220,plain,( 119.72/119.03 zero_at1(tb2t1(nil(int)),0) | ~spl8_190), 119.72/119.03 inference(avatar_component_clause,[],[f1219])). 119.72/119.03 tff(f1378,plain,( 119.72/119.03 ~spl8_200), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1377])). 119.72/119.03 tff(f1377,plain,( 119.72/119.03 $false | ~spl8_200), 119.72/119.03 inference(trivial_inequality_removal,[],[f1376])). 119.72/119.03 tff(f1376,plain,( 119.72/119.03 none(int) != none(int) | ~spl8_200), 119.72/119.03 inference(superposition,[],[f254,f1258])). 119.72/119.03 tff(f1258,plain,( 119.72/119.03 none(int) = some(int,t2tb2(0)) | ~spl8_200), 119.72/119.03 inference(avatar_component_clause,[],[f1257])). 119.72/119.03 tff(f1257,plain,( 119.72/119.03 spl8_200 <=> none(int) = some(int,t2tb2(0))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_200])])). 119.72/119.03 tff(f1361,plain,( 119.72/119.03 spl8_210 | ~spl8_213 | spl8_43 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1350,f1101,f525,f1359,f1356])). 119.72/119.03 tff(f1350,plain,( 119.72/119.03 ( ! [X2:uni,X0:ty,X1:uni] : (~$less(sK0,0) | nth1(X0,$sum($uminus(sK0),-1),X1) = nth1(X0,$uminus(sK0),cons(X0,X2,X1))) ) | (~spl8_43 | ~spl8_154)), 119.72/119.03 inference(superposition,[],[f700,f1102])). 119.72/119.03 tff(f700,plain,( 119.72/119.03 ( ! [X2:uni,X0:$int,X3:uni,X1:ty] : (~$less(sK0,$sum(sK0,X0)) | nth1(X1,$sum(X0,-1),X2) = nth1(X1,X0,cons(X1,X3,X2))) ) | ~spl8_43), 119.72/119.03 inference(superposition,[],[f526,f287])). 119.72/119.03 tff(f1354,plain,( 119.72/119.03 ~spl8_36 | spl8_73 | ~spl8_154), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1353])). 119.72/119.03 tff(f1353,plain,( 119.72/119.03 $false | (~spl8_36 | ~spl8_73 | ~spl8_154)), 119.72/119.03 inference(trivial_inequality_removal,[],[f1352])). 119.72/119.03 tff(f1352,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | (~spl8_36 | ~spl8_73 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f1351,f483])). 119.72/119.03 tff(f1312,plain,( 119.72/119.03 spl8_208 | ~spl8_36 | ~spl8_202), 119.72/119.03 inference(avatar_split_clause,[],[f1308,f1294,f482,f1310])). 119.72/119.03 tff(f1310,plain,( 119.72/119.03 spl8_208 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_208])])). 119.72/119.03 tff(f1294,plain,( 119.72/119.03 spl8_202 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_202])])). 119.72/119.03 tff(f1308,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_36 | ~spl8_202)), 119.72/119.03 inference(forward_demodulation,[],[f1295,f483])). 119.72/119.03 tff(f1295,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_202), 119.72/119.03 inference(avatar_component_clause,[],[f1294])). 119.72/119.03 tff(f1306,plain,( 119.72/119.03 spl8_206 | ~spl8_46 | ~spl8_100), 119.72/119.03 inference(avatar_split_clause,[],[f1302,f895,f688,f1304])). 119.72/119.03 tff(f1304,plain,( 119.72/119.03 spl8_206 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_206])])). 119.72/119.03 tff(f1302,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_46 | ~spl8_100)), 119.72/119.03 inference(forward_demodulation,[],[f896,f689])). 119.72/119.03 tff(f689,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(some(int,t2tb2(0))) | ~spl8_46), 119.72/119.03 inference(avatar_component_clause,[],[f688])). 119.72/119.03 tff(f1301,plain,( 119.72/119.03 ~spl8_205 | spl8_111 | ~spl8_154), 119.72/119.03 inference(avatar_split_clause,[],[f1297,f1101,f925,f1299])). 119.72/119.03 tff(f925,plain,( 119.72/119.03 spl8_111 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_111])])). 119.72/119.03 tff(f1297,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),0),0) | (~spl8_111 | ~spl8_154)), 119.72/119.03 inference(forward_demodulation,[],[f926,f1102])). 119.72/119.03 tff(f926,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | ~spl8_111), 119.72/119.03 inference(avatar_component_clause,[],[f925])). 119.72/119.03 tff(f1296,plain,( 119.72/119.03 spl8_202 | ~spl8_46 | ~spl8_182), 119.72/119.03 inference(avatar_split_clause,[],[f1292,f1196,f688,f1294])). 119.72/119.03 tff(f1292,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_46 | ~spl8_182)), 119.72/119.03 inference(forward_demodulation,[],[f1197,f689])). 119.72/119.03 tff(f1287,plain,( 119.72/119.03 spl8_73 | ~spl8_188 | ~spl8_200), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1286])). 119.72/119.03 tff(f1286,plain,( 119.72/119.03 $false | (~spl8_73 | ~spl8_188 | ~spl8_200)), 119.72/119.03 inference(trivial_inequality_removal,[],[f1285])). 119.72/119.03 tff(f1285,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(none(int)) | (~spl8_73 | ~spl8_188 | ~spl8_200)), 119.72/119.03 inference(forward_demodulation,[],[f1284,f1258])). 119.72/119.03 tff(f1284,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | (~spl8_73 | ~spl8_188)), 119.72/119.03 inference(forward_demodulation,[],[f1266,f259])). 119.72/119.03 tff(f1266,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),nil(int))) | (~spl8_73 | ~spl8_188)), 119.72/119.03 inference(superposition,[],[f785,f1210])). 119.72/119.03 tff(f1210,plain,( 119.72/119.03 nil(int) = cons(int,t2tb2(sK1),t2tb1(sK2)) | ~spl8_188), 119.72/119.03 inference(avatar_component_clause,[],[f1209])). 119.72/119.03 tff(f1209,plain,( 119.72/119.03 spl8_188 <=> nil(int) = cons(int,t2tb2(sK1),t2tb1(sK2))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_188])])). 119.72/119.03 tff(f1283,plain,( 119.72/119.03 spl8_65 | ~spl8_188 | ~spl8_200), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1282])). 119.72/119.03 tff(f1282,plain,( 119.72/119.03 $false | (~spl8_65 | ~spl8_188 | ~spl8_200)), 119.72/119.03 inference(trivial_inequality_removal,[],[f1281])). 119.72/119.03 tff(f1281,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(none(int)) | (~spl8_65 | ~spl8_188 | ~spl8_200)), 119.72/119.03 inference(forward_demodulation,[],[f1280,f1258])). 119.72/119.03 tff(f1280,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | (~spl8_65 | ~spl8_188)), 119.72/119.03 inference(forward_demodulation,[],[f1264,f259])). 119.72/119.03 tff(f1264,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),nil(int))) | (~spl8_65 | ~spl8_188)), 119.72/119.03 inference(superposition,[],[f763,f1210])). 119.72/119.03 tff(f1278,plain,( 119.72/119.03 ~spl8_188), 119.72/119.03 inference(avatar_contradiction_clause,[],[f1277])). 119.72/119.03 tff(f1277,plain,( 119.72/119.03 $false | ~spl8_188), 119.72/119.03 inference(trivial_inequality_removal,[],[f1270])). 119.72/119.03 tff(f1270,plain,( 119.72/119.03 nil(int) != nil(int) | ~spl8_188), 119.72/119.03 inference(superposition,[],[f270,f1210])). 119.72/119.03 tff(f1259,plain,( 119.72/119.03 spl8_200 | ~spl8_46), 119.72/119.03 inference(avatar_split_clause,[],[f1255,f688,f1257])). 119.72/119.03 tff(f1255,plain,( 119.72/119.03 none(int) = some(int,t2tb2(0)) | ~spl8_46), 119.72/119.03 inference(forward_demodulation,[],[f1254,f238])). 119.72/119.03 tff(f1254,plain,( 119.72/119.03 some(int,t2tb2(0)) = t2tb(tb2t(none(int))) | ~spl8_46), 119.72/119.03 inference(superposition,[],[f238,f689])). 119.72/119.03 tff(f1252,plain,( 119.72/119.03 spl8_198 | ~spl8_46 | spl8_165), 119.72/119.03 inference(avatar_split_clause,[],[f1248,f1156,f688,f1250])). 119.72/119.03 tff(f1250,plain,( 119.72/119.03 spl8_198 <=> tb2t(none(int)) = tb2t(nth1(int,sK6(sK5),t2tb1(sK5)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_198])])). 119.72/119.03 tff(f1156,plain,( 119.72/119.03 spl8_165 <=> ~no_zero1(sK5)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_165])])). 119.72/119.03 tff(f1248,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(nth1(int,sK6(sK5),t2tb1(sK5))) | (~spl8_46 | ~spl8_165)), 119.72/119.03 inference(forward_demodulation,[],[f1239,f689])). 119.72/119.03 tff(f1239,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK5),t2tb1(sK5))) | ~spl8_165), 119.72/119.03 inference(resolution,[],[f1157,f249])). 119.72/119.03 tff(f1157,plain,( 119.72/119.03 ~no_zero1(sK5) | ~spl8_165), 119.72/119.03 inference(avatar_component_clause,[],[f1156])). 119.72/119.03 tff(f1247,plain,( 119.72/119.03 ~spl8_197 | spl8_165), 119.72/119.03 inference(avatar_split_clause,[],[f1238,f1156,f1245])). 119.72/119.03 tff(f1245,plain,( 119.72/119.03 spl8_197 <=> ~$less(sK6(sK5),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_197])])). 119.72/119.03 tff(f1238,plain,( 119.72/119.03 ~$less(sK6(sK5),0) | ~spl8_165), 119.72/119.03 inference(resolution,[],[f1157,f248])). 119.72/119.03 tff(f1243,plain,( 119.72/119.03 spl8_194 | spl8_165), 119.72/119.03 inference(avatar_split_clause,[],[f1237,f1156,f1241])). 119.72/119.03 tff(f1237,plain,( 119.72/119.03 $less(sK6(sK5),length1(int,t2tb1(sK5))) | ~spl8_165), 119.72/119.03 inference(resolution,[],[f1157,f247])). 119.72/119.03 tff(f1234,plain,( 119.72/119.03 spl8_192 | ~spl8_46 | spl8_179), 119.72/119.03 inference(avatar_split_clause,[],[f1230,f1188,f688,f1232])). 119.72/119.03 tff(f1232,plain,( 119.72/119.03 spl8_192 <=> $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_192])])). 119.72/119.03 tff(f1188,plain,( 119.72/119.03 spl8_179 <=> ~zero_at1(tb2t1(nil(int)),$sum(sK3,$uminus(sK0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_179])])). 119.72/119.03 tff(f1230,plain,( 119.72/119.03 $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | (~spl8_46 | ~spl8_179)), 119.72/119.03 inference(trivial_inequality_removal,[],[f1229])). 119.72/119.03 tff(f1229,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(none(int)) | $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | (~spl8_46 | ~spl8_179)), 119.72/119.03 inference(forward_demodulation,[],[f1228,f689])). 119.72/119.03 tff(f1228,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_179), 119.72/119.03 inference(forward_demodulation,[],[f1227,f259])). 119.72/119.03 tff(f1227,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),nil(int))) | $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_179), 119.72/119.03 inference(forward_demodulation,[],[f1222,f234])). 119.72/119.03 tff(f1222,plain,( 119.72/119.03 $less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(nil(int))))) | ~spl8_179), 119.72/119.03 inference(resolution,[],[f1189,f265])). 119.72/119.03 tff(f1189,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) | ~spl8_179), 119.72/119.03 inference(avatar_component_clause,[],[f1188])). 119.72/119.03 tff(f1221,plain,( 119.72/119.03 spl8_190 | ~spl8_0 | ~spl8_144), 119.72/119.03 inference(avatar_split_clause,[],[f1217,f1061,f313,f1219])). 119.72/119.03 tff(f313,plain,( 119.72/119.03 spl8_0 <=> tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_0])])). 119.72/119.03 tff(f1217,plain,( 119.72/119.03 zero_at1(tb2t1(nil(int)),0) | (~spl8_0 | ~spl8_144)), 119.72/119.03 inference(forward_demodulation,[],[f1062,f314])). 119.72/119.03 tff(f314,plain,( 119.72/119.03 tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_0), 119.72/119.03 inference(avatar_component_clause,[],[f313])). 119.72/119.03 tff(f1214,plain,( 119.72/119.03 spl8_46 | ~spl8_182 | ~spl8_188), 119.72/119.03 inference(avatar_split_clause,[],[f1213,f1209,f1196,f688])). 119.72/119.03 tff(f1213,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(some(int,t2tb2(0))) | (~spl8_182 | ~spl8_188)), 119.72/119.03 inference(forward_demodulation,[],[f1212,f259])). 119.72/119.03 tff(f1212,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),nil(int))) | (~spl8_182 | ~spl8_188)), 119.72/119.03 inference(forward_demodulation,[],[f1197,f1210])). 119.72/119.03 tff(f1211,plain,( 119.72/119.03 spl8_188 | ~spl8_0), 119.72/119.03 inference(avatar_split_clause,[],[f1207,f313,f1209])). 119.72/119.03 tff(f1207,plain,( 119.72/119.03 nil(int) = cons(int,t2tb2(sK1),t2tb1(sK2)) | ~spl8_0), 119.72/119.03 inference(forward_demodulation,[],[f1186,f234])). 119.72/119.03 tff(f1186,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = t2tb1(tb2t1(nil(int))) | ~spl8_0), 119.72/119.03 inference(superposition,[],[f234,f314])). 119.72/119.03 tff(f1206,plain,( 119.72/119.03 ~spl8_187 | ~spl8_0 | spl8_141), 119.72/119.03 inference(avatar_split_clause,[],[f1184,f1038,f313,f1204])). 119.72/119.03 tff(f1204,plain,( 119.72/119.03 spl8_187 <=> ~$less(sK7(tb2t1(nil(int)),0),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_187])])). 119.72/119.03 tff(f1184,plain,( 119.72/119.03 ~$less(sK7(tb2t1(nil(int)),0),0) | (~spl8_0 | ~spl8_141)), 119.72/119.03 inference(superposition,[],[f1039,f314])). 119.72/119.03 tff(f1202,plain,( 119.72/119.03 ~spl8_185 | ~spl8_0 | spl8_67), 119.72/119.03 inference(avatar_split_clause,[],[f1182,f767,f313,f1200])). 119.72/119.03 tff(f1182,plain,( 119.72/119.03 ~$less(sK7(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))),0) | (~spl8_0 | ~spl8_67)), 119.72/119.03 inference(superposition,[],[f768,f314])). 119.72/119.03 tff(f1198,plain,( 119.72/119.03 spl8_182 | ~spl8_0 | ~spl8_56), 119.72/119.03 inference(avatar_split_clause,[],[f1181,f716,f313,f1196])). 119.72/119.03 tff(f716,plain,( 119.72/119.03 spl8_56 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_56])])). 119.72/119.03 tff(f1181,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | (~spl8_0 | ~spl8_56)), 119.72/119.03 inference(superposition,[],[f717,f314])). 119.72/119.03 tff(f717,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_56), 119.72/119.03 inference(avatar_component_clause,[],[f716])). 119.72/119.03 tff(f1194,plain,( 119.72/119.03 spl8_180 | ~spl8_0 | ~spl8_52), 119.72/119.03 inference(avatar_split_clause,[],[f1180,f707,f313,f1192])). 119.72/119.03 tff(f1180,plain,( 119.72/119.03 $less(sK6(tb2t1(nil(int))),$sum(1,length1(int,t2tb1(sK2)))) | (~spl8_0 | ~spl8_52)), 119.72/119.03 inference(superposition,[],[f708,f314])). 119.72/119.03 tff(f1190,plain,( 119.72/119.03 ~spl8_179 | ~spl8_0 | spl8_5), 119.72/119.03 inference(avatar_split_clause,[],[f1178,f319,f313,f1188])). 119.72/119.03 tff(f319,plain,( 119.72/119.03 spl8_5 <=> ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])). 119.72/119.03 tff(f1178,plain,( 119.72/119.03 ~zero_at1(tb2t1(nil(int)),$sum(sK3,$uminus(sK0))) | (~spl8_0 | ~spl8_5)), 119.72/119.03 inference(superposition,[],[f320,f314])). 119.72/119.03 tff(f320,plain,( 119.72/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | ~spl8_5), 119.72/119.03 inference(avatar_component_clause,[],[f319])). 119.72/119.03 tff(f1177,plain,( 119.72/119.03 spl8_88 | ~spl8_138), 119.72/119.03 inference(avatar_split_clause,[],[f1075,f1033,f858])). 119.72/119.03 tff(f1075,plain,( 119.72/119.03 some(int,t2tb2(sK1)) = some(int,t2tb2(sK4)) | ~spl8_138), 119.72/119.03 inference(forward_demodulation,[],[f1073,f285])). 119.72/119.03 tff(f1073,plain,( 119.72/119.03 some(int,t2tb2(sK4)) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_138), 119.72/119.03 inference(superposition,[],[f285,f1034])). 119.72/119.03 tff(f1176,plain,( 119.72/119.03 ~spl8_177 | ~spl8_175 | ~spl8_82 | ~spl8_104), 119.72/119.03 inference(avatar_split_clause,[],[f1137,f908,f846,f1170,f1174])). 119.72/119.03 tff(f846,plain,( 119.72/119.03 spl8_82 <=> t2tb1(sK2) = t2tb1(sK5)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_82])])). 119.72/119.03 tff(f1137,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | ~zero_at1(sK5,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | (~spl8_82 | ~spl8_104)), 119.72/119.03 inference(superposition,[],[f909,f847])). 119.72/119.03 tff(f847,plain,( 119.72/119.03 t2tb1(sK2) = t2tb1(sK5) | ~spl8_82), 119.72/119.03 inference(avatar_component_clause,[],[f846])). 119.72/119.03 tff(f1172,plain,( 119.72/119.03 ~spl8_173 | ~spl8_175 | ~spl8_50 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1136,f846,f696,f1170,f1167])). 119.72/119.03 tff(f1136,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(sK2))) | ~zero_at1(sK5,sK0) | (~spl8_50 | ~spl8_82)), 119.72/119.03 inference(superposition,[],[f697,f847])). 119.72/119.03 tff(f1163,plain,( 119.72/119.03 ~spl8_165 | spl8_170 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1162,f846,f1159,f1156])). 119.72/119.03 tff(f1159,plain,( 119.72/119.03 spl8_170 <=> ! [X0 : $int] : (~$less(X0,length1(int,t2tb1(sK2))) | $less(X0,0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_170])])). 119.72/119.03 tff(f1162,plain,( 119.72/119.03 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK2))) | ~$less(X1,length1(int,t2tb1(sK2))) | $less(X1,0) | ~no_zero1(sK5)) ) | ~spl8_82), 119.72/119.03 inference(forward_demodulation,[],[f1129,f847])). 119.72/119.03 tff(f1129,plain,( 119.72/119.03 ( ! [X1:$int] : (~$less(X1,length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK5))) | $less(X1,0) | ~no_zero1(sK5)) ) | ~spl8_82), 119.72/119.03 inference(superposition,[],[f250,f847])). 119.72/119.03 tff(f1161,plain,( 119.72/119.03 ~spl8_165 | spl8_170 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1154,f846,f1159,f1156])). 119.72/119.03 tff(f1154,plain,( 119.72/119.03 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK2))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))) | $less(X0,0) | ~no_zero1(sK5)) ) | ~spl8_82), 119.72/119.03 inference(forward_demodulation,[],[f1128,f847])). 119.72/119.03 tff(f1128,plain,( 119.72/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK2))) | $less(X0,0) | ~$less(X0,length1(int,t2tb1(sK5))) | ~no_zero1(sK5)) ) | ~spl8_82), 119.72/119.03 inference(superposition,[],[f250,f847])). 119.72/119.03 tff(f1153,plain,( 119.72/119.03 spl8_164 | spl8_168 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1127,f846,f1151,f1144])). 119.72/119.03 tff(f1151,plain,( 119.72/119.03 spl8_168 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK5),t2tb1(sK2)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_168])])). 119.72/119.03 tff(f1127,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK5),t2tb1(sK2))) | no_zero1(sK5) | ~spl8_82), 119.72/119.03 inference(superposition,[],[f249,f847])). 119.72/119.03 tff(f1149,plain,( 119.72/119.03 spl8_164 | spl8_166 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1126,f846,f1147,f1144])). 119.72/119.03 tff(f1126,plain,( 119.72/119.03 $less(sK6(sK5),length1(int,t2tb1(sK2))) | no_zero1(sK5) | ~spl8_82), 119.72/119.03 inference(superposition,[],[f247,f847])). 119.72/119.03 tff(f1142,plain,( 119.72/119.03 spl8_2 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1138,f846,f1140])). 119.72/119.03 tff(f1140,plain,( 119.72/119.03 spl8_2 <=> sK2 = sK5), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])). 119.72/119.03 tff(f1138,plain,( 119.72/119.03 sK2 = sK5 | ~spl8_82), 119.72/119.03 inference(forward_demodulation,[],[f1124,f236])). 119.72/119.03 tff(f1124,plain,( 119.72/119.03 tb2t1(t2tb1(sK2)) = sK5 | ~spl8_82), 119.72/119.03 inference(superposition,[],[f236,f847])). 119.72/119.03 tff(f1123,plain,( 119.72/119.03 spl8_162 | ~spl8_56), 119.72/119.03 inference(avatar_split_clause,[],[f1119,f716,f1121])). 119.72/119.03 tff(f1119,plain,( 119.72/119.03 some(int,t2tb2(0)) = nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_56), 119.72/119.03 inference(forward_demodulation,[],[f1111,f238])). 119.72/119.03 tff(f1111,plain,( 119.72/119.03 nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_56), 119.72/119.03 inference(superposition,[],[f238,f717])). 119.72/119.03 tff(f1118,plain,( 119.72/119.03 spl8_158 | spl8_160 | ~spl8_56), 119.72/119.03 inference(avatar_split_clause,[],[f1110,f716,f1116,f1113])). 119.72/119.03 tff(f1110,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),-1),t2tb1(sK2))) | 0 = sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_56), 119.72/119.03 inference(superposition,[],[f717,f287])). 119.72/119.03 tff(f1106,plain,( 119.72/119.03 spl8_154 | ~spl8_157 | spl8_73), 119.72/119.03 inference(avatar_split_clause,[],[f1099,f784,f1104,f1101])). 119.72/119.03 tff(f1099,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK0,$uminus(sK0)),-1),t2tb1(sK2))) | 0 = $sum(sK0,$uminus(sK0)) | ~spl8_73), 119.72/119.03 inference(superposition,[],[f785,f287])). 119.72/119.03 tff(f1090,plain,( 119.72/119.03 spl8_152 | spl8_27), 119.72/119.03 inference(avatar_split_clause,[],[f1078,f1010,f1088])). 119.72/119.03 tff(f1078,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK2),t2tb1(sK2))) | ~spl8_27), 119.72/119.03 inference(resolution,[],[f1011,f249])). 119.72/119.03 tff(f1011,plain,( 119.72/119.03 ~no_zero1(sK2) | ~spl8_27), 119.72/119.03 inference(avatar_component_clause,[],[f1010])). 119.72/119.03 tff(f1086,plain,( 119.72/119.03 ~spl8_151 | spl8_27), 119.72/119.03 inference(avatar_split_clause,[],[f1077,f1010,f1084])). 119.72/119.03 tff(f1077,plain,( 119.72/119.03 ~$less(sK6(sK2),0) | ~spl8_27), 119.72/119.03 inference(resolution,[],[f1011,f248])). 119.72/119.03 tff(f1082,plain,( 119.72/119.03 spl8_148 | spl8_27), 119.72/119.03 inference(avatar_split_clause,[],[f1076,f1010,f1080])). 119.72/119.03 tff(f1076,plain,( 119.72/119.03 $less(sK6(sK2),length1(int,t2tb1(sK2))) | ~spl8_27), 119.72/119.03 inference(resolution,[],[f1011,f247])). 119.72/119.03 tff(f1066,plain,( 119.72/119.03 spl8_144 | ~spl8_147 | spl8_141), 119.72/119.03 inference(avatar_split_clause,[],[f1059,f1038,f1064,f1061])). 119.72/119.03 tff(f1059,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(sK1))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_141), 119.72/119.03 inference(forward_demodulation,[],[f1058,f285])). 119.72/119.03 tff(f1058,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | ~spl8_141), 119.72/119.03 inference(forward_demodulation,[],[f1052,f234])). 119.72/119.03 tff(f1052,plain,( 119.72/119.03 zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_141), 119.72/119.03 inference(resolution,[],[f1039,f265])). 119.72/119.03 tff(f1047,plain,( 119.72/119.03 spl8_142 | ~spl8_20 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1043,f846,f347,f1045])). 119.72/119.03 tff(f347,plain,( 119.72/119.03 spl8_20 <=> tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_20])])). 119.72/119.03 tff(f1043,plain,( 119.72/119.03 tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK2))) | (~spl8_20 | ~spl8_82)), 119.72/119.03 inference(forward_demodulation,[],[f348,f847])). 119.72/119.03 tff(f348,plain,( 119.72/119.03 tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | ~spl8_20), 119.72/119.03 inference(avatar_component_clause,[],[f347])). 119.72/119.03 tff(f1042,plain,( 119.72/119.03 spl8_138 | ~spl8_20 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1041,f846,f347,f1033])). 119.72/119.03 tff(f1041,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2)) | (~spl8_20 | ~spl8_82)), 119.72/119.03 inference(forward_demodulation,[],[f799,f847])). 119.72/119.03 tff(f799,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK5)) | ~spl8_20), 119.72/119.03 inference(forward_demodulation,[],[f798,f234])). 119.72/119.03 tff(f798,plain,( 119.72/119.03 cons(int,t2tb2(sK4),t2tb1(sK5)) = t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_20), 119.72/119.03 inference(superposition,[],[f234,f348])). 119.72/119.03 tff(f1040,plain,( 119.72/119.03 ~spl8_141 | spl8_67 | ~spl8_134), 119.72/119.03 inference(avatar_split_clause,[],[f1036,f1024,f767,f1038])). 119.72/119.03 tff(f1036,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),0),0) | (~spl8_67 | ~spl8_134)), 119.72/119.03 inference(forward_demodulation,[],[f768,f1025])). 119.72/119.03 tff(f1025,plain,( 119.72/119.03 0 = $sum(sK3,$uminus(sK0)) | ~spl8_134), 119.72/119.03 inference(avatar_component_clause,[],[f1024])). 119.72/119.03 tff(f1035,plain,( 119.72/119.03 spl8_138 | ~spl8_78 | ~spl8_82), 119.72/119.03 inference(avatar_split_clause,[],[f1031,f846,f801,f1033])). 119.72/119.03 tff(f801,plain,( 119.72/119.03 spl8_78 <=> cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK5))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_78])])). 119.72/119.03 tff(f1031,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK2)) | (~spl8_78 | ~spl8_82)), 119.72/119.03 inference(forward_demodulation,[],[f802,f847])). 119.72/119.03 tff(f802,plain,( 119.72/119.03 cons(int,t2tb2(sK1),t2tb1(sK2)) = cons(int,t2tb2(sK4),t2tb1(sK5)) | ~spl8_78), 119.72/119.03 inference(avatar_component_clause,[],[f801])). 119.72/119.03 tff(f1029,plain,( 119.72/119.03 spl8_134 | ~spl8_137 | spl8_65), 119.72/119.03 inference(avatar_split_clause,[],[f1022,f762,f1027,f1024])). 119.72/119.03 tff(f1022,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum($sum(sK3,$uminus(sK0)),-1),t2tb1(sK2))) | 0 = $sum(sK3,$uminus(sK0)) | ~spl8_65), 119.72/119.03 inference(superposition,[],[f763,f287])). 119.72/119.03 tff(f1020,plain,( 119.72/119.03 spl8_132 | ~spl8_102), 119.72/119.03 inference(avatar_split_clause,[],[f1016,f903,f1018])). 119.72/119.03 tff(f1016,plain,( 119.72/119.03 some(int,t2tb2(0)) = nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2)) | ~spl8_102), 119.72/119.03 inference(forward_demodulation,[],[f996,f238])). 119.72/119.03 tff(f996,plain,( 119.72/119.03 nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_102), 119.72/119.03 inference(superposition,[],[f238,f904])). 119.72/119.03 tff(f1015,plain,( 119.72/119.03 ~spl8_27 | ~spl8_131 | spl8_128 | ~spl8_102), 119.72/119.03 inference(avatar_split_clause,[],[f997,f903,f1006,f1013,f1010])). 119.72/119.03 tff(f1008,plain,( 119.72/119.03 spl8_126 | spl8_128 | ~spl8_102), 119.72/119.03 inference(avatar_split_clause,[],[f998,f903,f1006,f1003])). 119.72/119.03 tff(f998,plain,( 119.72/119.03 ( ! [X0:$int] : ($less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_102), 119.72/119.03 inference(trivial_inequality_removal,[],[f994])). 119.72/119.03 tff(f994,plain,( 119.72/119.03 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK3,$uminus($sum(sK0,1))),0) | ~$less($sum(sK3,$uminus($sum(sK0,1))),X0) | ~zero_at1(sK2,X0)) ) | ~spl8_102), 119.72/119.03 inference(superposition,[],[f269,f904])). 119.72/119.03 tff(f990,plain,( 119.72/119.03 spl8_66 | spl8_124 | ~spl8_62), 119.72/119.03 inference(avatar_split_clause,[],[f983,f759,f988,f985])). 119.72/119.03 tff(f969,plain,( 119.72/119.03 spl8_54 | spl8_122 | ~spl8_52), 119.72/119.03 inference(avatar_split_clause,[],[f962,f707,f967,f964])). 119.72/119.03 tff(f962,plain,( 119.72/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(X0))) | $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),0) | ~zero_at1(X0,$sum(1,length1(int,t2tb1(sK2))))) ) | ~spl8_52), 119.72/119.03 inference(resolution,[],[f708,f269])). 119.72/119.03 tff(f956,plain,( 119.72/119.03 spl8_120 | ~spl8_117 | spl8_95), 119.72/119.03 inference(avatar_split_clause,[],[f952,f874,f943,f954])). 119.72/119.03 tff(f952,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_95), 119.72/119.03 inference(forward_demodulation,[],[f951,f234])). 119.72/119.03 tff(f951,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_95), 119.72/119.03 inference(forward_demodulation,[],[f936,f234])). 119.72/119.03 tff(f936,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_95), 119.72/119.03 inference(resolution,[],[f875,f267])). 119.72/119.03 tff(f950,plain,( 119.72/119.03 ~spl8_119 | ~spl8_117 | spl8_95), 119.72/119.03 inference(avatar_split_clause,[],[f946,f874,f943,f948])). 119.72/119.03 tff(f946,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_95), 119.72/119.03 inference(forward_demodulation,[],[f935,f234])). 119.72/119.03 tff(f935,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_95), 119.72/119.03 inference(resolution,[],[f875,f266])). 119.72/119.03 tff(f945,plain,( 119.72/119.03 spl8_114 | ~spl8_117 | spl8_95), 119.72/119.03 inference(avatar_split_clause,[],[f938,f874,f943,f940])). 119.72/119.03 tff(f938,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_95), 119.72/119.03 inference(forward_demodulation,[],[f934,f234])). 119.72/119.03 tff(f934,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_95), 119.72/119.03 inference(resolution,[],[f875,f265])). 119.72/119.03 tff(f933,plain,( 119.72/119.03 spl8_112 | ~spl8_109 | spl8_93), 119.72/119.03 inference(avatar_split_clause,[],[f929,f870,f920,f931])). 119.72/119.03 tff(f931,plain,( 119.72/119.03 spl8_112 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_112])])). 119.72/119.03 tff(f870,plain,( 119.72/119.03 spl8_93 <=> ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_93])])). 119.72/119.03 tff(f929,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_93), 119.72/119.03 inference(forward_demodulation,[],[f928,f234])). 119.72/119.03 tff(f928,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(0),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_93), 119.72/119.03 inference(forward_demodulation,[],[f913,f234])). 119.72/119.03 tff(f913,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_93), 119.72/119.03 inference(resolution,[],[f871,f267])). 119.72/119.03 tff(f871,plain,( 119.72/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~spl8_93), 119.72/119.03 inference(avatar_component_clause,[],[f870])). 119.72/119.03 tff(f927,plain,( 119.72/119.03 ~spl8_111 | ~spl8_109 | spl8_93), 119.72/119.03 inference(avatar_split_clause,[],[f923,f870,f920,f925])). 119.72/119.03 tff(f923,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | ~spl8_93), 119.72/119.03 inference(forward_demodulation,[],[f912,f234])). 119.72/119.03 tff(f912,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_93), 119.72/119.03 inference(resolution,[],[f871,f266])). 119.72/119.03 tff(f922,plain,( 119.72/119.03 spl8_106 | ~spl8_109 | spl8_93), 119.72/119.03 inference(avatar_split_clause,[],[f915,f870,f920,f917])). 119.72/119.03 tff(f915,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),cons(int,t2tb2(0),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_93), 119.72/119.03 inference(forward_demodulation,[],[f911,f234])). 119.72/119.03 tff(f911,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_93), 119.72/119.03 inference(resolution,[],[f871,f265])). 119.72/119.03 tff(f910,plain,( 119.72/119.03 spl8_48 | spl8_104 | ~spl8_32), 119.72/119.03 inference(avatar_split_clause,[],[f906,f388,f908,f693])). 119.72/119.03 tff(f693,plain,( 119.72/119.03 spl8_48 <=> $less(sK3,0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_48])])). 119.72/119.03 tff(f906,plain,( 119.72/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | $less(sK3,0) | ~zero_at1(X0,$sum($sum(sK0,1),length1(int,t2tb1(sK2))))) ) | ~spl8_32), 119.72/119.03 inference(resolution,[],[f389,f269])). 119.72/119.03 tff(f905,plain,( 119.72/119.03 spl8_102 | ~spl8_34), 119.72/119.03 inference(avatar_split_clause,[],[f900,f403,f903])). 119.72/119.03 tff(f900,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,$sum(sK3,$uminus($sum(sK0,1))),t2tb1(sK2))) | ~spl8_34), 119.72/119.03 inference(resolution,[],[f404,f268])). 119.72/119.03 tff(f899,plain,( 119.72/119.03 spl8_85), 119.72/119.03 inference(avatar_contradiction_clause,[],[f898])). 119.72/119.03 tff(f898,plain,( 119.72/119.03 $false | ~spl8_85), 119.72/119.03 inference(resolution,[],[f851,f233])). 119.72/119.03 tff(f851,plain,( 119.72/119.03 ~sort1(int,t2tb2(sK4)) | ~spl8_85), 119.72/119.03 inference(avatar_component_clause,[],[f850])). 119.72/119.03 tff(f897,plain,( 119.72/119.03 spl8_100 | spl8_97), 119.72/119.03 inference(avatar_split_clause,[],[f893,f878,f895])). 119.72/119.03 tff(f893,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_97), 119.72/119.03 inference(forward_demodulation,[],[f884,f234])). 119.72/119.03 tff(f884,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_97), 119.72/119.03 inference(resolution,[],[f879,f249])). 119.72/119.03 tff(f892,plain,( 119.72/119.03 ~spl8_91 | spl8_97), 119.72/119.03 inference(avatar_split_clause,[],[f883,f878,f866])). 119.72/119.03 tff(f891,plain,( 119.72/119.03 spl8_98 | spl8_97), 119.72/119.03 inference(avatar_split_clause,[],[f887,f878,f889])). 119.72/119.03 tff(f887,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_97), 119.72/119.03 inference(forward_demodulation,[],[f886,f244])). 119.72/119.03 tff(f886,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),length1(int,cons(int,t2tb2(0),t2tb1(sK2)))) | ~spl8_97), 119.72/119.03 inference(forward_demodulation,[],[f882,f234])). 119.72/119.03 tff(f882,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))))) | ~spl8_97), 119.72/119.03 inference(resolution,[],[f879,f247])). 119.72/119.03 tff(f880,plain,( 119.72/119.03 ~spl8_97 | spl8_23 | ~spl8_36), 119.72/119.03 inference(avatar_split_clause,[],[f864,f482,f354,f878])). 119.72/119.03 tff(f864,plain,( 119.72/119.03 ~no_zero1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))) | (~spl8_23 | ~spl8_36)), 119.72/119.03 inference(superposition,[],[f355,f483])). 119.72/119.03 tff(f876,plain,( 119.72/119.03 ~spl8_95 | spl8_5 | ~spl8_36), 119.72/119.03 inference(avatar_split_clause,[],[f863,f482,f319,f874])). 119.72/119.03 tff(f863,plain,( 119.72/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | (~spl8_5 | ~spl8_36)), 119.72/119.03 inference(superposition,[],[f320,f483])). 119.72/119.03 tff(f872,plain,( 119.72/119.03 ~spl8_93 | spl8_11 | ~spl8_36), 119.72/119.03 inference(avatar_split_clause,[],[f862,f482,f328,f870])). 119.72/119.03 tff(f862,plain,( 119.72/119.03 ~zero_at1(tb2t1(cons(int,t2tb2(0),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | (~spl8_11 | ~spl8_36)), 119.72/119.03 inference(superposition,[],[f329,f483])). 119.72/119.03 tff(f868,plain,( 119.72/119.03 ~spl8_91 | ~spl8_36 | spl8_55), 119.72/119.03 inference(avatar_split_clause,[],[f861,f711,f482,f866])). 119.72/119.03 tff(f861,plain,( 119.72/119.03 ~$less(sK6(tb2t1(cons(int,t2tb2(0),t2tb1(sK2)))),0) | (~spl8_36 | ~spl8_55)), 119.72/119.03 inference(superposition,[],[f712,f483])). 119.72/119.03 tff(f860,plain,( 119.72/119.03 spl8_88 | ~spl8_78), 119.72/119.03 inference(avatar_split_clause,[],[f856,f801,f858])). 119.72/119.03 tff(f856,plain,( 119.72/119.03 some(int,t2tb2(sK1)) = some(int,t2tb2(sK4)) | ~spl8_78), 119.72/119.03 inference(forward_demodulation,[],[f837,f285])). 119.72/119.03 tff(f837,plain,( 119.72/119.03 some(int,t2tb2(sK4)) = nth1(int,0,cons(int,t2tb2(sK1),t2tb1(sK2))) | ~spl8_78), 119.72/119.03 inference(superposition,[],[f285,f802])). 119.72/119.03 tff(f855,plain,( 119.72/119.03 ~spl8_85 | spl8_86 | ~spl8_78), 119.72/119.03 inference(avatar_split_clause,[],[f835,f801,f853,f850])). 119.72/119.03 tff(f835,plain,( 119.72/119.03 cons_proj_11(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb2(sK4) | ~sort1(int,t2tb2(sK4)) | ~spl8_78), 119.72/119.03 inference(superposition,[],[f277,f802])). 119.72/119.03 tff(f848,plain,( 119.72/119.03 spl8_82 | ~spl8_78), 119.72/119.03 inference(avatar_split_clause,[],[f844,f801,f846])). 119.72/119.03 tff(f844,plain,( 119.72/119.03 t2tb1(sK2) = t2tb1(sK5) | ~spl8_78), 119.72/119.03 inference(forward_demodulation,[],[f834,f273])). 119.72/119.03 tff(f834,plain,( 119.72/119.03 cons_proj_21(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = t2tb1(sK5) | ~spl8_78), 119.72/119.03 inference(superposition,[],[f273,f802])). 119.72/119.03 tff(f843,plain,( 119.72/119.03 spl8_80 | ~spl8_78), 119.72/119.03 inference(avatar_split_clause,[],[f839,f801,f841])). 119.72/119.03 tff(f841,plain,( 119.72/119.03 spl8_80 <=> $sum(1,length1(int,t2tb1(sK2))) = $sum(1,length1(int,t2tb1(sK5)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_80])])). 119.72/119.03 tff(f839,plain,( 119.72/119.03 $sum(1,length1(int,t2tb1(sK2))) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_78), 119.72/119.03 inference(forward_demodulation,[],[f831,f244])). 119.72/119.03 tff(f831,plain,( 119.72/119.03 length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_78), 119.72/119.03 inference(superposition,[],[f244,f802])). 119.72/119.03 tff(f803,plain,( 119.72/119.03 spl8_78 | ~spl8_20), 119.72/119.03 inference(avatar_split_clause,[],[f799,f347,f801])). 119.72/119.03 tff(f797,plain,( 119.72/119.03 spl8_76 | ~spl8_73 | spl8_11), 119.72/119.03 inference(avatar_split_clause,[],[f793,f328,f784,f795])). 119.72/119.03 tff(f795,plain,( 119.72/119.03 spl8_76 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_76])])). 119.72/119.03 tff(f791,plain,( 119.72/119.03 ~spl8_75 | ~spl8_73 | spl8_11), 119.72/119.03 inference(avatar_split_clause,[],[f787,f328,f784,f789])). 119.72/119.03 tff(f789,plain,( 119.72/119.03 spl8_75 <=> ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_75])])). 119.72/119.03 tff(f786,plain,( 119.72/119.03 spl8_70 | ~spl8_73 | spl8_11), 119.72/119.03 inference(avatar_split_clause,[],[f779,f328,f784,f781])). 119.72/119.03 tff(f775,plain,( 119.72/119.03 spl8_68 | ~spl8_65 | spl8_5), 119.72/119.03 inference(avatar_split_clause,[],[f771,f319,f762,f773])). 119.72/119.03 tff(f771,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_5), 119.72/119.03 inference(forward_demodulation,[],[f770,f234])). 119.72/119.03 tff(f770,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_5), 119.72/119.03 inference(forward_demodulation,[],[f756,f234])). 119.72/119.03 tff(f756,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_5), 119.72/119.03 inference(resolution,[],[f320,f267])). 119.72/119.03 tff(f769,plain,( 119.72/119.03 ~spl8_67 | ~spl8_65 | spl8_5), 119.72/119.03 inference(avatar_split_clause,[],[f765,f319,f762,f767])). 119.72/119.03 tff(f765,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | ~spl8_5), 119.72/119.03 inference(forward_demodulation,[],[f755,f234])). 119.72/119.03 tff(f755,plain,( 119.72/119.03 ~$less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_5), 119.72/119.03 inference(resolution,[],[f320,f266])). 119.72/119.03 tff(f764,plain,( 119.72/119.03 spl8_62 | ~spl8_65 | spl8_5), 119.72/119.03 inference(avatar_split_clause,[],[f757,f319,f762,f759])). 119.72/119.03 tff(f757,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | ~spl8_5), 119.72/119.03 inference(forward_demodulation,[],[f754,f234])). 119.72/119.03 tff(f754,plain,( 119.72/119.03 $less(sK7(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))),$sum(sK3,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK3,$uminus(sK0)),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_5), 119.72/119.03 inference(resolution,[],[f320,f265])). 119.72/119.03 tff(f753,plain,( 119.72/119.03 spl8_12 | ~spl8_44), 119.72/119.03 inference(avatar_split_clause,[],[f745,f678,f751])). 119.72/119.03 tff(f745,plain,( 119.72/119.03 no_zero1(tb2t1(nil(int))) | ~spl8_44), 119.72/119.03 inference(resolution,[],[f679,f248])). 119.72/119.03 tff(f739,plain,( 119.72/119.03 ~spl8_61 | ~spl8_47 | spl8_41), 119.72/119.03 inference(avatar_split_clause,[],[f735,f522,f731,f737])). 119.72/119.03 tff(f735,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),0) | ~spl8_41), 119.72/119.03 inference(forward_demodulation,[],[f734,f259])). 119.72/119.03 tff(f734,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),nil(int))) | ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),0) | ~spl8_41), 119.72/119.03 inference(forward_demodulation,[],[f721,f234])). 119.72/119.03 tff(f721,plain,( 119.72/119.03 ~$less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(nil(int))))) | ~spl8_41), 119.72/119.03 inference(resolution,[],[f523,f266])). 119.72/119.03 tff(f733,plain,( 119.72/119.03 spl8_58 | ~spl8_47 | spl8_41), 119.72/119.03 inference(avatar_split_clause,[],[f726,f522,f731,f728])). 119.72/119.03 tff(f726,plain,( 119.72/119.03 tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(forward_demodulation,[],[f725,f259])). 119.72/119.03 tff(f725,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),nil(int))) | $less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | ~spl8_41), 119.72/119.03 inference(forward_demodulation,[],[f720,f234])). 119.72/119.03 tff(f720,plain,( 119.72/119.03 $less(sK7(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))),$sum(sK0,$uminus(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(sK0,$uminus(sK0)),t2tb1(tb2t1(nil(int))))) | ~spl8_41), 119.72/119.03 inference(resolution,[],[f523,f265])). 119.72/119.03 tff(f718,plain,( 119.72/119.03 spl8_56 | spl8_23), 119.72/119.03 inference(avatar_split_clause,[],[f714,f354,f716])). 119.72/119.03 tff(f714,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_23), 119.72/119.03 inference(forward_demodulation,[],[f703,f234])). 119.72/119.03 tff(f703,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_23), 119.72/119.03 inference(resolution,[],[f355,f249])). 119.72/119.03 tff(f713,plain,( 119.72/119.03 ~spl8_55 | spl8_23), 119.72/119.03 inference(avatar_split_clause,[],[f702,f354,f711])). 119.72/119.03 tff(f709,plain,( 119.72/119.03 spl8_52 | spl8_23), 119.72/119.03 inference(avatar_split_clause,[],[f705,f354,f707])). 119.72/119.03 tff(f705,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),$sum(1,length1(int,t2tb1(sK2)))) | ~spl8_23), 119.72/119.03 inference(forward_demodulation,[],[f704,f244])). 119.72/119.03 tff(f704,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~spl8_23), 119.72/119.03 inference(forward_demodulation,[],[f701,f234])). 119.72/119.03 tff(f701,plain,( 119.72/119.03 $less(sK6(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))),length1(int,t2tb1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))))) | ~spl8_23), 119.72/119.03 inference(resolution,[],[f355,f247])). 119.72/119.03 tff(f698,plain,( 119.72/119.03 spl8_48 | spl8_50 | ~spl8_6), 119.72/119.03 inference(avatar_split_clause,[],[f691,f322,f696,f693])). 119.72/119.03 tff(f691,plain,( 119.72/119.03 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK3,t2tb1(X0))) | $less(sK3,0) | ~zero_at1(X0,sK0)) ) | ~spl8_6), 119.72/119.03 inference(resolution,[],[f323,f269])). 119.72/119.03 tff(f690,plain,( 119.72/119.03 spl8_46 | spl8_13), 119.72/119.03 inference(avatar_split_clause,[],[f686,f331,f688])). 119.72/119.03 tff(f331,plain,( 119.72/119.03 spl8_13 <=> ~no_zero1(tb2t1(nil(int)))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_13])])). 119.72/119.03 tff(f686,plain,( 119.72/119.03 tb2t(none(int)) = tb2t(some(int,t2tb2(0))) | ~spl8_13), 119.72/119.03 inference(forward_demodulation,[],[f685,f259])). 119.72/119.03 tff(f685,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),nil(int))) | ~spl8_13), 119.72/119.03 inference(forward_demodulation,[],[f672,f234])). 119.72/119.03 tff(f672,plain,( 119.72/119.03 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(nil(int))),t2tb1(tb2t1(nil(int))))) | ~spl8_13), 119.72/119.03 inference(resolution,[],[f332,f249])). 119.72/119.03 tff(f332,plain,( 119.72/119.03 ~no_zero1(tb2t1(nil(int))) | ~spl8_13), 119.72/119.03 inference(avatar_component_clause,[],[f331])). 119.72/119.03 tff(f684,plain,( 119.72/119.03 ~spl8_45 | spl8_13), 119.72/119.03 inference(avatar_split_clause,[],[f671,f331,f682])). 119.72/119.03 tff(f682,plain,( 119.72/119.03 spl8_45 <=> ~$less(sK6(tb2t1(nil(int))),0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_45])])). 119.72/119.03 tff(f671,plain,( 119.72/119.03 ~$less(sK6(tb2t1(nil(int))),0) | ~spl8_13), 119.72/119.03 inference(resolution,[],[f332,f248])). 119.72/119.03 tff(f680,plain,( 119.72/119.03 spl8_44 | spl8_13), 119.72/119.03 inference(avatar_split_clause,[],[f676,f331,f678])). 119.72/119.03 tff(f676,plain,( 119.72/119.03 $less(sK6(tb2t1(nil(int))),0) | ~spl8_13), 119.72/119.03 inference(forward_demodulation,[],[f675,f245])). 119.72/119.03 tff(f675,plain,( 119.72/119.03 $less(sK6(tb2t1(nil(int))),length1(int,nil(int))) | ~spl8_13), 119.72/119.03 inference(forward_demodulation,[],[f670,f234])). 119.72/119.03 tff(f670,plain,( 119.72/119.03 $less(sK6(tb2t1(nil(int))),length1(int,t2tb1(tb2t1(nil(int))))) | ~spl8_13), 119.72/119.03 inference(resolution,[],[f332,f247])). 119.72/119.03 tff(f669,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_30 | spl8_34 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f668,f525,f325,f522,f482,f403,f379,f347,f313])). 119.72/119.03 tff(f379,plain,( 119.72/119.03 spl8_30 <=> $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_30])])). 119.72/119.03 tff(f325,plain,( 119.72/119.03 spl8_8 <=> $less(sK0,sK0)), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])). 119.72/119.03 tff(f668,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f129,f245])). 119.72/119.03 tff(f129,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f117,plain,( 119.72/119.03 (($sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int)))) & ($less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))))) | (((~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0)) & (~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0) & 0 = sK1) | (((($less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0)))) & ($sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) & ((~$less(sK3,$sum(sK0,1)) & $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) & zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1))))) | (no_zero1(sK2) & $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3))) | (sK2 != sK5 & tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) & 0 != sK1))), 119.72/119.03 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f95,f116,f115,f114,f113])). 119.72/119.03 tff(f113,plain,( 119.72/119.03 ? [X0 : $int] : ((($sum(X0,length1(int,nil(int))) != X0 | ~no_zero1(tb2t1(nil(int)))) & ($less(X0,X0) | ~$less(X0,$sum(X0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))))) | ? [X1 : $int,X2 : list_int] : (((~$less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0))) | $less(X0,X0)) & (~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) | $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0) & 0 = X1) | ((? [X3 : $int] : (($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3))) | ? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & 0 != X1))) => ((($sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int)))) & ($less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))))) | ? [X2 : list_int,X1 : $int] : (((~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0)) & (~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) | $sum(sK0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != sK0) & 0 = X1) | ((? [X3 : $int] : (($less(X3,sK0) | ~$less(X3,$sum(sK0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(sK0)))) & ($sum(sK0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(X3,$sum(sK0,1)) & $less(X3,$sum($sum(sK0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(sK0,1))))) | (no_zero1(X2) & $sum($sum(sK0,1),length1(int,t2tb1(X2))) = X3))) | ? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & 0 != X1)))), 119.72/119.03 introduced(choice_axiom,[])). 119.72/119.03 tff(f114,plain,( 119.72/119.03 ( ! [X0:$int] : (? [X1 : $int,X2 : list_int] : (((~$less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0))) | $less(X0,X0)) & (~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) | $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0) & 0 = X1) | ((? [X3 : $int] : (($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3))) | ? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & 0 != X1)) => (((~$less(X0,$sum(X0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(X0,$uminus(X0))) | $less(X0,X0)) & (~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(X0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != X0) & 0 = sK1) | ((? [X3 : $int] : (($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(sK2)))) & zero_at1(sK2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(sK2) & $sum($sum(X0,1),length1(int,t2tb1(sK2))) = X3))) | ? [X5 : list_int,X4 : $int] : (sK2 != X5 & tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) & 0 != sK1))) )), 119.72/119.03 introduced(choice_axiom,[])). 119.72/119.03 tff(f115,plain,( 119.72/119.03 ( ! [X2:list_int,X0:$int,X1:$int] : (? [X3 : $int] : (($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3))) => (($less(sK3,X0) | ~$less(sK3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(sK3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(sK3,$sum(X0,1)) & $less(sK3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(sK3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = sK3)))) )), 119.72/119.03 introduced(choice_axiom,[])). 119.72/119.03 tff(f116,plain,( 119.72/119.03 ( ! [X2:list_int,X1:$int] : (? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) => (sK5 != X2 & tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) )), 119.72/119.03 introduced(choice_axiom,[])). 119.72/119.03 tff(f95,plain,( 119.72/119.03 ? [X0 : $int] : ((($sum(X0,length1(int,nil(int))) != X0 | ~no_zero1(tb2t1(nil(int)))) & ($less(X0,X0) | ~$less(X0,$sum(X0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))))) | ? [X1 : $int,X2 : list_int] : (((~$less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0))) | $less(X0,X0)) & (~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) | $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0) & 0 = X1) | ((? [X3 : $int] : (($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3))) | ? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & 0 != X1)))), 119.72/119.03 inference(flattening,[],[f94])). 119.72/119.03 tff(f94,plain,( 119.72/119.03 ? [X0 : $int] : ((($sum(X0,length1(int,nil(int))) != X0 | ~no_zero1(tb2t1(nil(int)))) & ($less(X0,X0) | ~$less(X0,$sum(X0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))))) | ? [X1 : $int,X2 : list_int] : ((((~$less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0))) | $less(X0,X0)) & (~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) | $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X0)) & 0 = X1) | ((? [X3 : $int] : ((($less(X3,X0) | ~$less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) & ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) != X3 | ~no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))))) & ((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3))) | ? [X4 : $int,X5 : list_int] : (X2 != X5 & tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & 0 != X1)))), 119.72/119.03 inference(ennf_transformation,[],[f53])). 119.72/119.03 tff(f53,plain,( 119.72/119.03 ~! [X0 : $int] : ((($sum(X0,length1(int,nil(int))) = X0 & no_zero1(tb2t1(nil(int)))) | (~$less(X0,X0) & $less(X0,$sum(X0,length1(int,nil(int)))) & zero_at1(tb2t1(nil(int)),$sum(X0,$uminus(X0))))) & ! [X1 : $int,X2 : list_int] : ((0 = X1 => (($less(X0,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) & zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X0,$uminus(X0))) & ~$less(X0,X0)) | (no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))) & $sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X0))) & (0 != X1 => (! [X3 : $int] : (((~$less(X3,$sum(X0,1)) & $less(X3,$sum($sum(X0,1),length1(int,t2tb1(X2)))) & zero_at1(X2,$sum(X3,$uminus($sum(X0,1))))) | (no_zero1(X2) & $sum($sum(X0,1),length1(int,t2tb1(X2))) = X3)) => ((~$less(X3,X0) & $less(X3,$sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2))))) & zero_at1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))),$sum(X3,$uminus(X0)))) | ($sum(X0,length1(int,cons(int,t2tb2(X1),t2tb1(X2)))) = X3 & no_zero1(tb2t1(cons(int,t2tb2(X1),t2tb1(X2))))))) & ! [X4 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) => X2 = X5) & tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X1),t2tb1(X2)))))))), 119.72/119.03 inference(rectify,[],[f47])). 119.72/119.03 tff(f47,plain,( 119.72/119.03 ~! [X9 : $int] : ((($sum(X9,length1(int,nil(int))) = X9 & no_zero1(tb2t1(nil(int)))) | (~$less(X9,X9) & $less(X9,$sum(X9,length1(int,nil(int)))) & zero_at1(tb2t1(nil(int)),$sum(X9,$uminus(X9))))) & ! [X4 : $int,X5 : list_int] : ((0 = X4 => (($less(X9,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$sum(X9,$uminus(X9))) & ~$less(X9,X9)) | (no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) & $sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X9))) & (0 != X4 => (! [X16 : $int] : (((~$less(X16,$sum(X9,1)) & $less(X16,$sum($sum(X9,1),length1(int,t2tb1(X5)))) & zero_at1(X5,$sum(X16,$uminus($sum(X9,1))))) | (no_zero1(X5) & $sum($sum(X9,1),length1(int,t2tb1(X5))) = X16)) => ((~$less(X16,X9) & $less(X16,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$sum(X16,$uminus(X9)))) | ($sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X16 & no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))))))) & ! [X7 : $int,X15 : list_int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = tb2t1(cons(int,t2tb2(X7),t2tb1(X15))) => X5 = X15) & tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))))))), 119.72/119.03 inference(evaluation,[],[f37])). 119.72/119.03 tff(f37,negated_conjecture,( 119.72/119.03 ~! [X9 : $int] : ((($sum(X9,length1(int,nil(int))) = X9 & no_zero1(tb2t1(nil(int)))) | ($lesseq(X9,X9) & $less(X9,$sum(X9,length1(int,nil(int)))) & zero_at1(tb2t1(nil(int)),$difference(X9,X9)))) & ! [X4 : $int,X5 : list_int] : ((0 = X4 => (($less(X9,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$difference(X9,X9)) & $lesseq(X9,X9)) | (no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) & $sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X9))) & (0 != X4 => (! [X16 : $int] : ((($lesseq($sum(X9,1),X16) & $less(X16,$sum($sum(X9,1),length1(int,t2tb1(X5)))) & zero_at1(X5,$difference(X16,$sum(X9,1)))) | (no_zero1(X5) & $sum($sum(X9,1),length1(int,t2tb1(X5))) = X16)) => (($lesseq(X9,X16) & $less(X16,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$difference(X16,X9))) | ($sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X16 & no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))))))) & ! [X7 : $int,X15 : list_int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = tb2t1(cons(int,t2tb2(X7),t2tb1(X15))) => X5 = X15) & tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))))))), 119.72/119.03 inference(negated_conjecture,[],[f36])). 119.72/119.03 tff(f36,conjecture,( 119.72/119.03 ! [X9 : $int] : ((($sum(X9,length1(int,nil(int))) = X9 & no_zero1(tb2t1(nil(int)))) | ($lesseq(X9,X9) & $less(X9,$sum(X9,length1(int,nil(int)))) & zero_at1(tb2t1(nil(int)),$difference(X9,X9)))) & ! [X4 : $int,X5 : list_int] : ((0 = X4 => (($less(X9,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$difference(X9,X9)) & $lesseq(X9,X9)) | (no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))) & $sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X9))) & (0 != X4 => (! [X16 : $int] : ((($lesseq($sum(X9,1),X16) & $less(X16,$sum($sum(X9,1),length1(int,t2tb1(X5)))) & zero_at1(X5,$difference(X16,$sum(X9,1)))) | (no_zero1(X5) & $sum($sum(X9,1),length1(int,t2tb1(X5))) = X16)) => (($lesseq(X9,X16) & $less(X16,$sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5))))) & zero_at1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))),$difference(X16,X9))) | ($sum(X9,length1(int,cons(int,t2tb2(X4),t2tb1(X5)))) = X16 & no_zero1(tb2t1(cons(int,t2tb2(X4),t2tb1(X5))))))) & ! [X7 : $int,X15 : list_int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = tb2t1(cons(int,t2tb2(X7),t2tb1(X15))) => X5 = X15) & tb2t1(nil(int)) != tb2t1(cons(int,t2tb2(X4),t2tb1(X5)))))))), 119.72/119.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search)). 119.72/119.03 tff(f667,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f666,f525,f325,f522,f482,f403,f379,f316,f313])). 119.72/119.03 tff(f316,plain,( 119.72/119.03 spl8_3 <=> sK2 != sK5), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 119.72/119.03 tff(f666,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f130,f245])). 119.72/119.03 tff(f130,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f665,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_26 | spl8_34 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f664,f525,f325,f522,f482,f403,f367,f347,f313])). 119.72/119.03 tff(f664,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f131,f245])). 119.72/119.03 tff(f131,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f663,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f662,f525,f325,f522,f482,f403,f367,f316,f313])). 119.72/119.03 tff(f662,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f132,f245])). 119.72/119.03 tff(f132,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f661,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_30 | spl8_32 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f660,f525,f325,f522,f482,f388,f379,f347,f313])). 119.72/119.03 tff(f660,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f133,f245])). 119.72/119.03 tff(f133,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f659,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f658,f525,f325,f522,f482,f388,f379,f316,f313])). 119.72/119.03 tff(f658,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f134,f245])). 119.72/119.03 tff(f134,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f657,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_26 | spl8_32 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f656,f525,f325,f522,f482,f388,f367,f347,f313])). 119.72/119.03 tff(f656,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f135,f245])). 119.72/119.03 tff(f135,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f655,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f654,f525,f325,f522,f482,f388,f367,f316,f313])). 119.72/119.03 tff(f654,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f136,f245])). 119.72/119.03 tff(f136,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f653,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f652,f525,f325,f522,f482,f370,f379,f347,f313])). 119.72/119.03 tff(f370,plain,( 119.72/119.03 spl8_29 <=> ~$less(sK3,$sum(sK0,1))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_29])])). 119.72/119.03 tff(f652,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f137,f245])). 119.72/119.03 tff(f137,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f651,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f650,f525,f325,f522,f482,f370,f379,f316,f313])). 119.72/119.03 tff(f650,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f138,f245])). 119.72/119.03 tff(f138,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f649,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f648,f525,f325,f522,f482,f370,f367,f347,f313])). 119.72/119.03 tff(f648,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f139,f245])). 119.72/119.03 tff(f139,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f647,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43), 119.72/119.03 inference(avatar_split_clause,[],[f646,f525,f325,f522,f482,f370,f367,f316,f313])). 119.72/119.03 tff(f646,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f140,f245])). 119.72/119.03 tff(f140,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f645,plain,( 119.72/119.03 spl8_0 | spl8_20 | ~spl8_23 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_25), 119.72/119.03 inference(avatar_split_clause,[],[f644,f357,f525,f325,f522,f482,f354,f347,f313])). 119.72/119.03 tff(f357,plain,( 119.72/119.03 spl8_25 <=> $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_25])])). 119.72/119.03 tff(f644,plain,( 119.72/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f643,f244])). 119.72/119.03 tff(f643,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f141,f245])). 119.72/119.03 tff(f141,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f642,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | ~spl8_23 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_25), 119.72/119.03 inference(avatar_split_clause,[],[f641,f357,f525,f325,f522,f482,f354,f316,f313])). 119.72/119.03 tff(f641,plain,( 119.72/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f640,f244])). 119.72/119.03 tff(f640,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f142,f245])). 119.72/119.03 tff(f142,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f639,plain,( 119.72/119.03 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_19), 119.72/119.03 inference(avatar_split_clause,[],[f638,f340,f525,f325,f522,f482,f322,f319,f347,f313])). 119.72/119.03 tff(f340,plain,( 119.72/119.03 spl8_19 <=> ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2)))))), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_19])])). 119.72/119.03 tff(f638,plain,( 119.72/119.03 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f637,f244])). 119.72/119.03 tff(f637,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f143,f245])). 119.72/119.03 tff(f143,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f636,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | spl8_36 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_19), 119.72/119.03 inference(avatar_split_clause,[],[f635,f340,f525,f325,f522,f482,f322,f319,f316,f313])). 119.72/119.03 tff(f635,plain,( 119.72/119.03 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f634,f244])). 119.72/119.03 tff(f634,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f144,f245])). 119.72/119.03 tff(f144,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f633,plain,( 119.72/119.03 ~spl8_37 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.72/119.03 inference(avatar_split_clause,[],[f632,f425,f525,f325,f522,f354,f418])). 119.72/119.03 tff(f418,plain,( 119.72/119.03 spl8_37 <=> 0 != sK1), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_37])])). 119.72/119.03 tff(f425,plain,( 119.72/119.03 spl8_39 <=> $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0), 119.72/119.03 introduced(avatar_definition,[new_symbols(naming,[spl8_39])])). 119.72/119.03 tff(f632,plain,( 119.72/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 != sK1), 119.72/119.03 inference(forward_demodulation,[],[f631,f244])). 119.72/119.03 tff(f631,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | 0 != sK1), 119.72/119.03 inference(forward_demodulation,[],[f145,f245])). 119.72/119.03 tff(f145,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | 0 != sK1), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f630,plain,( 119.72/119.03 spl8_0 | spl8_20 | spl8_30 | spl8_34 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.72/119.03 inference(avatar_split_clause,[],[f629,f425,f525,f325,f522,f354,f403,f379,f347,f313])). 119.72/119.03 tff(f629,plain,( 119.72/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f628,f244])). 119.72/119.03 tff(f628,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f146,f245])). 119.72/119.03 tff(f146,plain,( 119.72/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(cnf_transformation,[],[f117])). 119.72/119.03 tff(f627,plain,( 119.72/119.03 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.72/119.03 inference(avatar_split_clause,[],[f626,f425,f525,f325,f522,f354,f403,f379,f316,f313])). 119.72/119.03 tff(f626,plain,( 119.72/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f625,f244])). 119.72/119.03 tff(f625,plain,( 119.72/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.72/119.03 inference(forward_demodulation,[],[f147,f245])). 119.73/119.03 tff(f147,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f624,plain,( 119.73/119.03 spl8_0 | spl8_20 | spl8_26 | spl8_34 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f623,f425,f525,f325,f522,f354,f403,f367,f347,f313])). 119.73/119.03 tff(f623,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f622,f244])). 119.73/119.03 tff(f622,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f148,f245])). 119.73/119.03 tff(f148,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f621,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f620,f425,f525,f325,f522,f354,f403,f367,f316,f313])). 119.73/119.03 tff(f620,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f619,f244])). 119.73/119.03 tff(f619,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f149,f245])). 119.73/119.03 tff(f149,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f618,plain,( 119.73/119.03 spl8_0 | spl8_20 | spl8_30 | spl8_32 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f617,f425,f525,f325,f522,f354,f388,f379,f347,f313])). 119.73/119.03 tff(f617,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f616,f244])). 119.73/119.03 tff(f616,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f150,f245])). 119.73/119.03 tff(f150,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f615,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f614,f425,f525,f325,f522,f354,f388,f379,f316,f313])). 119.73/119.03 tff(f614,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f613,f244])). 119.73/119.03 tff(f613,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f151,f245])). 119.73/119.03 tff(f151,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f612,plain,( 119.73/119.03 spl8_0 | spl8_20 | spl8_26 | spl8_32 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f611,f425,f525,f325,f522,f354,f388,f367,f347,f313])). 119.73/119.03 tff(f611,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f610,f244])). 119.73/119.03 tff(f610,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f152,f245])). 119.73/119.03 tff(f152,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f609,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f608,f425,f525,f325,f522,f354,f388,f367,f316,f313])). 119.73/119.03 tff(f608,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f607,f244])). 119.73/119.03 tff(f607,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f153,f245])). 119.73/119.03 tff(f153,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f606,plain,( 119.73/119.03 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f605,f425,f525,f325,f522,f354,f370,f379,f347,f313])). 119.73/119.03 tff(f605,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f604,f244])). 119.73/119.03 tff(f604,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f154,f245])). 119.73/119.03 tff(f154,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f603,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f602,f425,f525,f325,f522,f354,f370,f379,f316,f313])). 119.73/119.03 tff(f602,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f601,f244])). 119.73/119.03 tff(f601,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f155,f245])). 119.73/119.03 tff(f155,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f600,plain,( 119.73/119.03 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f599,f425,f525,f325,f522,f354,f370,f367,f347,f313])). 119.73/119.03 tff(f599,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f598,f244])). 119.73/119.03 tff(f598,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f156,f245])). 119.73/119.03 tff(f156,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f597,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39), 119.73/119.03 inference(avatar_split_clause,[],[f596,f425,f525,f325,f522,f354,f370,f367,f316,f313])). 119.73/119.03 tff(f596,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f595,f244])). 119.73/119.03 tff(f595,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f157,f245])). 119.73/119.03 tff(f157,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f594,plain,( 119.73/119.03 spl8_0 | spl8_20 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39 | ~spl8_25), 119.73/119.03 inference(avatar_split_clause,[],[f593,f357,f425,f525,f325,f522,f354,f347,f313])). 119.73/119.03 tff(f593,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f592,f244])). 119.73/119.03 tff(f592,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f591,f244])). 119.73/119.03 tff(f591,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f288,f245])). 119.73/119.03 tff(f288,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(duplicate_literal_removal,[],[f158])). 119.73/119.03 tff(f158,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f590,plain,( 119.73/119.03 spl8_0 | ~spl8_3 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39 | ~spl8_25), 119.73/119.03 inference(avatar_split_clause,[],[f589,f357,f425,f525,f325,f522,f354,f316,f313])). 119.73/119.03 tff(f589,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f588,f244])). 119.73/119.03 tff(f588,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f587,f244])). 119.73/119.03 tff(f587,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f289,f245])). 119.73/119.03 tff(f289,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(duplicate_literal_removal,[],[f159])). 119.73/119.03 tff(f159,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.03 tff(f586,plain,( 119.73/119.03 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39 | ~spl8_19), 119.73/119.03 inference(avatar_split_clause,[],[f585,f340,f425,f525,f325,f522,f354,f322,f319,f347,f313])). 119.73/119.03 tff(f585,plain,( 119.73/119.03 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f584,f244])). 119.73/119.03 tff(f584,plain,( 119.73/119.03 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f583,f244])). 119.73/119.03 tff(f583,plain,( 119.73/119.03 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(forward_demodulation,[],[f160,f245])). 119.73/119.03 tff(f160,plain,( 119.73/119.03 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.03 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f582,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | ~spl8_23 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_39 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f581,f340,f425,f525,f325,f522,f354,f322,f319,f316,f313])). 119.73/119.04 tff(f581,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f580,f244])). 119.73/119.04 tff(f580,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f579,f244])). 119.73/119.04 tff(f579,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f161,f245])). 119.73/119.04 tff(f161,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f578,plain,( 119.73/119.04 ~spl8_37 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f577,f337,f525,f325,f522,f328,f418])). 119.73/119.04 tff(f337,plain,( 119.73/119.04 spl8_17 <=> ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2)))))), 119.73/119.04 introduced(avatar_definition,[new_symbols(naming,[spl8_17])])). 119.73/119.04 tff(f577,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f576,f244])). 119.73/119.04 tff(f576,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f290,f245])). 119.73/119.04 tff(f290,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | 0 != sK1), 119.73/119.04 inference(duplicate_literal_removal,[],[f162])). 119.73/119.04 tff(f162,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | 0 != sK1), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f575,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_34 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f574,f337,f525,f325,f522,f328,f403,f379,f347,f313])). 119.73/119.04 tff(f574,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f573,f244])). 119.73/119.04 tff(f573,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f291,f245])). 119.73/119.04 tff(f291,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f163])). 119.73/119.04 tff(f163,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f572,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f571,f337,f525,f325,f522,f328,f403,f379,f316,f313])). 119.73/119.04 tff(f571,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f570,f244])). 119.73/119.04 tff(f570,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f292,f245])). 119.73/119.04 tff(f292,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f164])). 119.73/119.04 tff(f164,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f569,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_34 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f568,f337,f525,f325,f522,f328,f403,f367,f347,f313])). 119.73/119.04 tff(f568,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f567,f244])). 119.73/119.04 tff(f567,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f293,f245])). 119.73/119.04 tff(f293,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f165])). 119.73/119.04 tff(f165,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f566,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f565,f337,f525,f325,f522,f328,f403,f367,f316,f313])). 119.73/119.04 tff(f565,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f564,f244])). 119.73/119.04 tff(f564,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f294,f245])). 119.73/119.04 tff(f294,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f166])). 119.73/119.04 tff(f166,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f563,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_32 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f562,f337,f525,f325,f522,f328,f388,f379,f347,f313])). 119.73/119.04 tff(f562,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f561,f244])). 119.73/119.04 tff(f561,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f295,f245])). 119.73/119.04 tff(f295,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f167])). 119.73/119.04 tff(f167,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f560,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f559,f337,f525,f325,f522,f328,f388,f379,f316,f313])). 119.73/119.04 tff(f559,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f558,f244])). 119.73/119.04 tff(f558,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f296,f245])). 119.73/119.04 tff(f296,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f168])). 119.73/119.04 tff(f168,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f557,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_32 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f556,f337,f525,f325,f522,f328,f388,f367,f347,f313])). 119.73/119.04 tff(f556,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f555,f244])). 119.73/119.04 tff(f555,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f297,f245])). 119.73/119.04 tff(f297,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f169])). 119.73/119.04 tff(f169,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f554,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f553,f337,f525,f325,f522,f328,f388,f367,f316,f313])). 119.73/119.04 tff(f553,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f552,f244])). 119.73/119.04 tff(f552,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f298,f245])). 119.73/119.04 tff(f298,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f170])). 119.73/119.04 tff(f170,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f551,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f550,f337,f525,f325,f522,f328,f370,f379,f347,f313])). 119.73/119.04 tff(f550,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f549,f244])). 119.73/119.04 tff(f549,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f299,f245])). 119.73/119.04 tff(f299,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f171])). 119.73/119.04 tff(f171,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f548,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f547,f337,f525,f325,f522,f328,f370,f379,f316,f313])). 119.73/119.04 tff(f547,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f546,f244])). 119.73/119.04 tff(f546,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f300,f245])). 119.73/119.04 tff(f300,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f172])). 119.73/119.04 tff(f172,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f545,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f544,f337,f525,f325,f522,f328,f370,f367,f347,f313])). 119.73/119.04 tff(f544,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f543,f244])). 119.73/119.04 tff(f543,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f301,f245])). 119.73/119.04 tff(f301,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f173])). 119.73/119.04 tff(f173,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f542,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f541,f337,f525,f325,f522,f328,f370,f367,f316,f313])). 119.73/119.04 tff(f541,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f540,f244])). 119.73/119.04 tff(f540,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f302,f245])). 119.73/119.04 tff(f302,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f174])). 119.73/119.04 tff(f174,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f539,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_23 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f538,f357,f337,f525,f325,f522,f328,f354,f347,f313])). 119.73/119.04 tff(f538,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f537,f244])). 119.73/119.04 tff(f537,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f536,f244])). 119.73/119.04 tff(f536,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f303,f245])). 119.73/119.04 tff(f303,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f175])). 119.73/119.04 tff(f175,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f535,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_23 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f534,f357,f337,f525,f325,f522,f328,f354,f316,f313])). 119.73/119.04 tff(f534,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f533,f244])). 119.73/119.04 tff(f533,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f532,f244])). 119.73/119.04 tff(f532,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f304,f245])). 119.73/119.04 tff(f304,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f176])). 119.73/119.04 tff(f176,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f531,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f530,f340,f337,f525,f325,f522,f328,f322,f319,f347,f313])). 119.73/119.04 tff(f530,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f529,f244])). 119.73/119.04 tff(f529,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f528,f244])). 119.73/119.04 tff(f528,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f305,f245])). 119.73/119.04 tff(f305,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f177])). 119.73/119.04 tff(f177,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f527,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | ~spl8_11 | ~spl8_41 | spl8_8 | ~spl8_43 | ~spl8_17 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f520,f340,f337,f525,f325,f522,f328,f322,f319,f316,f313])). 119.73/119.04 tff(f520,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f519,f244])). 119.73/119.04 tff(f519,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f518,f244])). 119.73/119.04 tff(f518,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,0)) | $less(sK0,sK0) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f306,f245])). 119.73/119.04 tff(f306,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f178])). 119.73/119.04 tff(f178,plain,( 119.73/119.04 $less(sK0,sK0) | ~$less(sK0,$sum(sK0,length1(int,nil(int)))) | ~zero_at1(tb2t1(nil(int)),$sum(sK0,$uminus(sK0))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f517,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_34 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f516,f334,f331,f482,f403,f379,f347,f313])). 119.73/119.04 tff(f334,plain,( 119.73/119.04 spl8_15 <=> $sum(sK0,0) != sK0), 119.73/119.04 introduced(avatar_definition,[new_symbols(naming,[spl8_15])])). 119.73/119.04 tff(f516,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f180,f245])). 119.73/119.04 tff(f180,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f515,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f514,f334,f331,f482,f403,f379,f316,f313])). 119.73/119.04 tff(f514,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f181,f245])). 119.73/119.04 tff(f181,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f513,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_34 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f512,f334,f331,f482,f403,f367,f347,f313])). 119.73/119.04 tff(f512,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f182,f245])). 119.73/119.04 tff(f182,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f511,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f510,f334,f331,f482,f403,f367,f316,f313])). 119.73/119.04 tff(f510,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f183,f245])). 119.73/119.04 tff(f183,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f509,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_32 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f508,f334,f331,f482,f388,f379,f347,f313])). 119.73/119.04 tff(f508,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f184,f245])). 119.73/119.04 tff(f184,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f507,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f506,f334,f331,f482,f388,f379,f316,f313])). 119.73/119.04 tff(f506,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f185,f245])). 119.73/119.04 tff(f185,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f505,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_32 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f504,f334,f331,f482,f388,f367,f347,f313])). 119.73/119.04 tff(f504,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f186,f245])). 119.73/119.04 tff(f186,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f503,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f502,f334,f331,f482,f388,f367,f316,f313])). 119.73/119.04 tff(f502,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f187,f245])). 119.73/119.04 tff(f187,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f501,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f500,f334,f331,f482,f370,f379,f347,f313])). 119.73/119.04 tff(f500,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f188,f245])). 119.73/119.04 tff(f188,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f499,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f498,f334,f331,f482,f370,f379,f316,f313])). 119.73/119.04 tff(f498,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f189,f245])). 119.73/119.04 tff(f189,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f497,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f496,f334,f331,f482,f370,f367,f347,f313])). 119.73/119.04 tff(f496,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f190,f245])). 119.73/119.04 tff(f190,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f495,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | spl8_36 | ~spl8_13 | ~spl8_15), 119.73/119.04 inference(avatar_split_clause,[],[f494,f334,f331,f482,f370,f367,f316,f313])). 119.73/119.04 tff(f494,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f191,f245])). 119.73/119.04 tff(f191,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f493,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_23 | spl8_36 | ~spl8_13 | ~spl8_15 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f492,f357,f334,f331,f482,f354,f347,f313])). 119.73/119.04 tff(f492,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f491,f244])). 119.73/119.04 tff(f491,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f192,f245])). 119.73/119.04 tff(f192,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f490,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_23 | spl8_36 | ~spl8_13 | ~spl8_15 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f489,f357,f334,f331,f482,f354,f316,f313])). 119.73/119.04 tff(f489,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f488,f244])). 119.73/119.04 tff(f488,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f193,f245])). 119.73/119.04 tff(f193,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f487,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | spl8_36 | ~spl8_13 | ~spl8_15 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f486,f340,f334,f331,f482,f322,f319,f347,f313])). 119.73/119.04 tff(f486,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f485,f244])). 119.73/119.04 tff(f485,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f194,f245])). 119.73/119.04 tff(f194,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f484,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | spl8_36 | ~spl8_13 | ~spl8_15 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f480,f340,f334,f331,f482,f322,f319,f316,f313])). 119.73/119.04 tff(f480,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f479,f244])). 119.73/119.04 tff(f479,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f195,f245])). 119.73/119.04 tff(f195,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | 0 = sK1 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f478,plain,( 119.73/119.04 ~spl8_37 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f477,f425,f334,f331,f354,f418])). 119.73/119.04 tff(f477,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f476,f244])). 119.73/119.04 tff(f476,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f196,f245])). 119.73/119.04 tff(f196,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | 0 != sK1), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f475,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_34 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f474,f425,f334,f331,f354,f403,f379,f347,f313])). 119.73/119.04 tff(f474,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f473,f244])). 119.73/119.04 tff(f473,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f197,f245])). 119.73/119.04 tff(f197,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f472,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f471,f425,f334,f331,f354,f403,f379,f316,f313])). 119.73/119.04 tff(f471,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f470,f244])). 119.73/119.04 tff(f470,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f198,f245])). 119.73/119.04 tff(f198,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f469,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_34 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f468,f425,f334,f331,f354,f403,f367,f347,f313])). 119.73/119.04 tff(f468,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f467,f244])). 119.73/119.04 tff(f467,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f199,f245])). 119.73/119.04 tff(f199,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f466,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f465,f425,f334,f331,f354,f403,f367,f316,f313])). 119.73/119.04 tff(f465,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f464,f244])). 119.73/119.04 tff(f464,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f200,f245])). 119.73/119.04 tff(f200,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f463,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_32 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f462,f425,f334,f331,f354,f388,f379,f347,f313])). 119.73/119.04 tff(f462,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f461,f244])). 119.73/119.04 tff(f461,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f201,f245])). 119.73/119.04 tff(f201,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f460,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f459,f425,f334,f331,f354,f388,f379,f316,f313])). 119.73/119.04 tff(f459,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f458,f244])). 119.73/119.04 tff(f458,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f202,f245])). 119.73/119.04 tff(f202,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f457,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_32 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f456,f425,f334,f331,f354,f388,f367,f347,f313])). 119.73/119.04 tff(f456,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f455,f244])). 119.73/119.04 tff(f455,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f203,f245])). 119.73/119.04 tff(f203,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f454,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f453,f425,f334,f331,f354,f388,f367,f316,f313])). 119.73/119.04 tff(f453,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f452,f244])). 119.73/119.04 tff(f452,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f204,f245])). 119.73/119.04 tff(f204,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f451,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f450,f425,f334,f331,f354,f370,f379,f347,f313])). 119.73/119.04 tff(f450,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f449,f244])). 119.73/119.04 tff(f449,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f205,f245])). 119.73/119.04 tff(f205,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f448,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f447,f425,f334,f331,f354,f370,f379,f316,f313])). 119.73/119.04 tff(f447,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f446,f244])). 119.73/119.04 tff(f446,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f206,f245])). 119.73/119.04 tff(f206,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f445,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f444,f425,f334,f331,f354,f370,f367,f347,f313])). 119.73/119.04 tff(f444,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f443,f244])). 119.73/119.04 tff(f443,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f207,f245])). 119.73/119.04 tff(f207,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f442,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39), 119.73/119.04 inference(avatar_split_clause,[],[f441,f425,f334,f331,f354,f370,f367,f316,f313])). 119.73/119.04 tff(f441,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f440,f244])). 119.73/119.04 tff(f440,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f208,f245])). 119.73/119.04 tff(f208,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f439,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f438,f357,f425,f334,f331,f354,f347,f313])). 119.73/119.04 tff(f438,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f437,f244])). 119.73/119.04 tff(f437,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f436,f244])). 119.73/119.04 tff(f436,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f307,f245])). 119.73/119.04 tff(f307,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f209])). 119.73/119.04 tff(f209,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f435,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f434,f357,f425,f334,f331,f354,f316,f313])). 119.73/119.04 tff(f434,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f433,f244])). 119.73/119.04 tff(f433,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f432,f244])). 119.73/119.04 tff(f432,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f308,f245])). 119.73/119.04 tff(f308,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(duplicate_literal_removal,[],[f210])). 119.73/119.04 tff(f210,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f431,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f430,f340,f425,f334,f331,f354,f322,f319,f347,f313])). 119.73/119.04 tff(f430,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f429,f244])). 119.73/119.04 tff(f429,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f428,f244])). 119.73/119.04 tff(f428,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f211,f245])). 119.73/119.04 tff(f211,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f427,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | ~spl8_23 | ~spl8_13 | ~spl8_15 | ~spl8_39 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f423,f340,f425,f334,f331,f354,f322,f319,f316,f313])). 119.73/119.04 tff(f423,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f422,f244])). 119.73/119.04 tff(f422,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK0 | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f421,f244])). 119.73/119.04 tff(f421,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f212,f245])). 119.73/119.04 tff(f212,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK0 | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f420,plain,( 119.73/119.04 ~spl8_37 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f416,f337,f334,f331,f328,f325,f418])). 119.73/119.04 tff(f416,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f415,f244])). 119.73/119.04 tff(f415,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | 0 != sK1), 119.73/119.04 inference(forward_demodulation,[],[f213,f245])). 119.73/119.04 tff(f213,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | 0 != sK1), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f414,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_34 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f413,f337,f334,f331,f328,f325,f403,f379,f347,f313])). 119.73/119.04 tff(f413,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f412,f244])). 119.73/119.04 tff(f412,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f214,f245])). 119.73/119.04 tff(f214,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f411,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_34 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f410,f337,f334,f331,f328,f325,f403,f379,f316,f313])). 119.73/119.04 tff(f410,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f409,f244])). 119.73/119.04 tff(f409,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f215,f245])). 119.73/119.04 tff(f215,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f408,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_34 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f407,f337,f334,f331,f328,f325,f403,f367,f347,f313])). 119.73/119.04 tff(f407,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f406,f244])). 119.73/119.04 tff(f406,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f216,f245])). 119.73/119.04 tff(f216,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f405,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_34 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f401,f337,f334,f331,f328,f325,f403,f367,f316,f313])). 119.73/119.04 tff(f401,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f400,f244])). 119.73/119.04 tff(f400,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f217,f245])). 119.73/119.04 tff(f217,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | zero_at1(sK2,$sum(sK3,$uminus($sum(sK0,1)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f399,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | spl8_32 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f398,f337,f334,f331,f328,f325,f388,f379,f347,f313])). 119.73/119.04 tff(f398,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f397,f244])). 119.73/119.04 tff(f397,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f218,f245])). 119.73/119.04 tff(f218,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f396,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | spl8_32 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f395,f337,f334,f331,f328,f325,f388,f379,f316,f313])). 119.73/119.04 tff(f395,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f394,f244])). 119.73/119.04 tff(f394,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f219,f245])). 119.73/119.04 tff(f219,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f393,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | spl8_32 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f392,f337,f334,f331,f328,f325,f388,f367,f347,f313])). 119.73/119.04 tff(f392,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f391,f244])). 119.73/119.04 tff(f391,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f220,f245])). 119.73/119.04 tff(f220,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f390,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | spl8_32 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f386,f337,f334,f331,f328,f325,f388,f367,f316,f313])). 119.73/119.04 tff(f386,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f385,f244])). 119.73/119.04 tff(f385,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f221,f245])). 119.73/119.04 tff(f221,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,$sum($sum(sK0,1),length1(int,t2tb1(sK2)))) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f384,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_30 | ~spl8_29 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f383,f337,f334,f331,f328,f325,f370,f379,f347,f313])). 119.73/119.04 tff(f383,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f382,f244])). 119.73/119.04 tff(f382,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f222,f245])). 119.73/119.04 tff(f222,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f381,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_30 | ~spl8_29 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f377,f337,f334,f331,f328,f325,f370,f379,f316,f313])). 119.73/119.04 tff(f377,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f376,f244])). 119.73/119.04 tff(f376,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f223,f245])). 119.73/119.04 tff(f223,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | $sum($sum(sK0,1),length1(int,t2tb1(sK2))) = sK3 | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f375,plain,( 119.73/119.04 spl8_0 | spl8_20 | spl8_26 | ~spl8_29 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f374,f337,f334,f331,f328,f325,f370,f367,f347,f313])). 119.73/119.04 tff(f374,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f373,f244])). 119.73/119.04 tff(f373,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f224,f245])). 119.73/119.04 tff(f224,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f372,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | spl8_26 | ~spl8_29 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17), 119.73/119.04 inference(avatar_split_clause,[],[f365,f337,f334,f331,f328,f325,f370,f367,f316,f313])). 119.73/119.04 tff(f365,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f364,f244])). 119.73/119.04 tff(f364,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f225,f245])). 119.73/119.04 tff(f225,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~$less(sK3,$sum(sK0,1)) | no_zero1(sK2) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f363,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_23 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f362,f357,f337,f334,f331,f328,f325,f354,f347,f313])). 119.73/119.04 tff(f362,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f361,f244])). 119.73/119.04 tff(f361,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f360,f244])). 119.73/119.04 tff(f360,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f226,f245])). 119.73/119.04 tff(f226,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f359,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_23 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17 | ~spl8_25), 119.73/119.04 inference(avatar_split_clause,[],[f352,f357,f337,f334,f331,f328,f325,f354,f316,f313])). 119.73/119.04 tff(f352,plain,( 119.73/119.04 $sum(sK0,$sum(1,length1(int,t2tb1(sK2)))) != sK3 | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f351,f244])). 119.73/119.04 tff(f351,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f350,f244])). 119.73/119.04 tff(f350,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f227,f245])). 119.73/119.04 tff(f227,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2)))) != sK3 | ~no_zero1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f349,plain,( 119.73/119.04 spl8_0 | spl8_20 | ~spl8_5 | spl8_6 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f345,f340,f337,f334,f331,f328,f325,f322,f319,f347,f313])). 119.73/119.04 tff(f345,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f344,f244])). 119.73/119.04 tff(f344,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f343,f244])). 119.73/119.04 tff(f343,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f228,f245])). 119.73/119.04 tff(f228,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))) = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 tff(f342,plain,( 119.73/119.04 spl8_0 | ~spl8_3 | ~spl8_5 | spl8_6 | spl8_8 | ~spl8_11 | ~spl8_13 | ~spl8_15 | ~spl8_17 | ~spl8_19), 119.73/119.04 inference(avatar_split_clause,[],[f311,f340,f337,f334,f331,f328,f325,f322,f319,f316,f313])). 119.73/119.04 tff(f311,plain,( 119.73/119.04 ~$less(sK3,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f310,f244])). 119.73/119.04 tff(f310,plain,( 119.73/119.04 ~$less(sK0,$sum(sK0,$sum(1,length1(int,t2tb1(sK2))))) | $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f309,f244])). 119.73/119.04 tff(f309,plain,( 119.73/119.04 $sum(sK0,0) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(forward_demodulation,[],[f229,f245])). 119.73/119.04 tff(f229,plain,( 119.73/119.04 $sum(sK0,length1(int,nil(int))) != sK0 | ~no_zero1(tb2t1(nil(int))) | ~$less(sK0,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK0,$uminus(sK0))) | $less(sK0,sK0) | $less(sK3,sK0) | ~$less(sK3,$sum(sK0,length1(int,cons(int,t2tb2(sK1),t2tb1(sK2))))) | ~zero_at1(tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2))),$sum(sK3,$uminus(sK0))) | sK2 != sK5 | tb2t1(nil(int)) = tb2t1(cons(int,t2tb2(sK1),t2tb1(sK2)))), 119.73/119.04 inference(cnf_transformation,[],[f117])). 119.73/119.04 % SZS output end Proof for theBenchmark 119.73/119.04 % ------------------------------ 119.73/119.04 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 119.73/119.04 % Termination reason: Refutation 119.73/119.04 119.73/119.04 % Memory used [KB]: 24178 119.73/119.04 % Time elapsed: 3.276 s 119.73/119.04 % ------------------------------ 119.73/119.04 % ------------------------------ 119.73/119.04 % Success in time 118.726 s 119.73/119.04 EOF