0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_vampire %s %d 0.08/0.29 % Computer : n010.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 960 0.08/0.29 % WCLimit : 120 0.08/0.29 % DateTime : Thu Jul 2 07:41:27 EDT 2020 0.13/0.29 % CPUTime : 0.16/0.46 % (31419)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.16/0.46 % (31411)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 0.16/0.46 % (31402)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.16/0.47 % (31398)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.16/0.47 % (31403)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.16/0.48 % (31410)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.16/0.49 % (31418)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.16/0.49 % (31409)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 0.16/0.49 % (31408)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.16/0.49 % (31396)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.16/0.50 % (31407)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.16/0.50 % (31406)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.16/0.51 % (31400)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.16/0.51 % (31397)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.16/0.52 % (31399)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.16/0.52 % (31414)WARNING: option uwaf not known. 0.16/0.52 % (31401)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.16/0.52 % (31413)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 0.16/0.53 % (31424)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.16/0.53 % (31421)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.16/0.53 % (31404)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.16/0.53 % (31425)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.16/0.53 % (31423)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 0.16/0.53 % (31425)Refutation not found, incomplete strategy% (31425)------------------------------ 0.16/0.53 % (31425)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.53 % (31425)Termination reason: Refutation not found, incomplete strategy 0.16/0.53 0.16/0.53 % (31425)Memory used [KB]: 10490 0.16/0.53 % (31425)Time elapsed: 0.172 s 0.16/0.53 % (31425)------------------------------ 0.16/0.53 % (31425)------------------------------ 0.16/0.53 % (31417)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.16/0.54 % (31422)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.16/0.54 % (31415)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.16/0.54 % (31405)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.16/0.54 % (31420)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 0.16/0.54 % (31416)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.16/0.54 % (31414)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.16/0.54 % (31414)Refutation not found, incomplete strategy% (31414)------------------------------ 0.16/0.54 % (31414)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.54 % (31414)Termination reason: Refutation not found, incomplete strategy 0.16/0.54 0.16/0.54 % (31414)Memory used [KB]: 1663 0.16/0.54 % (31414)Time elapsed: 0.184 s 0.16/0.54 % (31414)------------------------------ 0.16/0.54 % (31414)------------------------------ 0.16/0.55 % (31412)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 2.30/0.62 % (31415)Refutation not found, incomplete strategy% (31415)------------------------------ 2.30/0.62 % (31415)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.30/0.62 % (31415)Termination reason: Refutation not found, incomplete strategy 2.30/0.62 2.30/0.62 % (31415)Memory used [KB]: 6268 2.30/0.62 % (31415)Time elapsed: 0.239 s 2.30/0.62 % (31415)------------------------------ 2.30/0.62 % (31415)------------------------------ 2.56/0.65 % (31419)Refutation not found, incomplete strategy% (31419)------------------------------ 2.56/0.65 % (31419)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.56/0.65 % (31419)Termination reason: Refutation not found, incomplete strategy 2.56/0.65 2.56/0.65 % (31419)Memory used [KB]: 6012 2.56/0.65 % (31419)Time elapsed: 0.242 s 2.56/0.65 % (31419)------------------------------ 2.56/0.65 % (31419)------------------------------ 3.36/0.78 % (31426)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 3.36/0.79 % (31427)dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark 3.36/0.81 % (31413)Refutation not found, incomplete strategy% (31413)------------------------------ 3.36/0.81 % (31413)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.36/0.81 % (31413)Termination reason: Refutation not found, incomplete strategy 3.36/0.81 3.36/0.81 % (31413)Memory used [KB]: 6012 3.36/0.81 % (31413)Time elapsed: 0.441 s 3.36/0.81 % (31413)------------------------------ 3.36/0.81 % (31413)------------------------------ 3.36/0.84 % (31428)WARNING: option uwaf not known. 3.36/0.84 % (31428)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 4.03/0.85 % (31429)dis+11_3_afp=100000:afq=2.0:amm=sco:anc=none:gs=on:gsem=off:inw=on:lma=on:nm=64:nwc=1:sas=z3:sd=10:ss=axioms:st=5.0:sp=occurrence:tha=off:updr=off_202 on theBenchmark 4.03/0.87 % (31417)Time limit reached! 4.03/0.87 % (31417)------------------------------ 4.03/0.87 % (31417)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.03/0.87 % (31417)Termination reason: Time limit 4.03/0.87 4.03/0.87 % (31417)Memory used [KB]: 13176 4.03/0.87 % (31417)Time elapsed: 0.513 s 4.03/0.87 % (31417)------------------------------ 4.03/0.87 % (31417)------------------------------ 4.70/0.97 % (31412)Time limit reached! 4.70/0.97 % (31412)------------------------------ 4.70/0.97 % (31412)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.70/0.97 % (31412)Termination reason: Time limit 4.70/0.97 % (31412)Termination phase: Saturation 4.70/0.97 4.70/0.97 % (31412)Memory used [KB]: 6652 4.70/0.97 % (31412)Time elapsed: 0.600 s 4.70/0.97 % (31412)------------------------------ 4.70/0.97 % (31412)------------------------------ 4.70/0.97 % (31406)Time limit reached! 4.70/0.97 % (31406)------------------------------ 4.70/0.97 % (31406)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.70/0.97 % (31406)Termination reason: Time limit 4.70/0.97 4.70/0.97 % (31406)Memory used [KB]: 6012 4.70/0.97 % (31406)Time elapsed: 0.614 s 4.70/0.97 % (31406)------------------------------ 4.70/0.97 % (31406)------------------------------ 4.70/0.98 % (31422)Time limit reached! 4.70/0.98 % (31422)------------------------------ 4.70/0.98 % (31422)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.70/0.98 % (31422)Termination reason: Time limit 4.70/0.98 % (31422)Termination phase: Saturation 4.70/0.98 4.70/0.98 % (31422)Memory used [KB]: 12409 4.70/0.98 % (31422)Time elapsed: 0.600 s 4.70/0.98 % (31422)------------------------------ 4.70/0.98 % (31422)------------------------------ 4.70/1.00 % (31402)Time limit reached! 4.70/1.00 % (31402)------------------------------ 4.70/1.00 % (31402)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.70/1.00 % (31402)Termination reason: Time limit 4.70/1.00 % (31402)Termination phase: Saturation 4.70/1.00 4.70/1.00 % (31402)Memory used [KB]: 7291 4.70/1.00 % (31402)Time elapsed: 0.600 s 4.70/1.00 % (31402)------------------------------ 4.70/1.00 % (31402)------------------------------ 5.53/1.06 % (31430)lrs-11_4_awrs=decay:awrsf=64:afp=1000:afq=2.0:amm=off:anc=none:br=off:cond=on:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:nm=32:nwc=1.1:stl=30:s2a=on:sos=theory:sac=on:sp=frequency:tha=some:thi=new:urr=on:uhcvi=on_6 on theBenchmark 5.53/1.12 % (31431)ott+1004_5_av=off:bd=off:bs=on:cond=on:fde=none:lma=on:nm=64:nwc=1:sos=on:sp=reverse_arity:tha=off:thi=strong:uwa=one_side_constant_143 on theBenchmark 5.53/1.12 % (31431)Refutation not found, incomplete strategy% (31431)------------------------------ 5.53/1.12 % (31431)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.53/1.12 % (31431)Termination reason: Refutation not found, incomplete strategy 5.53/1.12 5.53/1.12 % (31431)Memory used [KB]: 1535 5.53/1.12 % (31431)Time elapsed: 0.187 s 5.53/1.12 % (31431)------------------------------ 5.53/1.12 % (31431)------------------------------ 5.53/1.16 % (31423)Time limit reached! 5.53/1.16 % (31423)------------------------------ 5.53/1.16 % (31423)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.53/1.16 % (31423)Termination reason: Time limit 5.53/1.16 % (31423)Termination phase: Saturation 5.53/1.16 5.53/1.16 % (31423)Memory used [KB]: 6780 5.53/1.16 % (31423)Time elapsed: 0.800 s 5.53/1.16 % (31423)------------------------------ 5.53/1.16 % (31423)------------------------------ 6.82/1.21 % (31432)lrs+1011_7_aac=none:add=large:afr=on:afp=40000:afq=1.4:bd=off:bs=on:bsr=on:fsr=off:inw=on:lma=on:nm=64:nwc=2:nicw=on:sas=z3:stl=60:sos=all:sp=reverse_arity:tha=off:updr=off:uhcvi=on_541 on theBenchmark 7.17/1.27 % (31416)Time limit reached! 7.17/1.27 % (31416)------------------------------ 7.17/1.27 % (31416)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.17/1.27 % (31416)Termination reason: Time limit 7.17/1.27 7.17/1.27 % (31416)Memory used [KB]: 6524 7.17/1.27 % (31416)Time elapsed: 0.914 s 7.17/1.27 % (31416)------------------------------ 7.17/1.27 % (31416)------------------------------ 7.54/1.28 % (31408)Time limit reached! 7.54/1.28 % (31408)------------------------------ 7.54/1.28 % (31408)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.54/1.28 % (31408)Termination reason: Time limit 7.54/1.28 7.54/1.28 % (31408)Memory used [KB]: 6780 7.54/1.28 % (31408)Time elapsed: 0.918 s 7.54/1.28 % (31408)------------------------------ 7.54/1.28 % (31408)------------------------------ 8.33/1.40 % (31427)Time limit reached! 8.33/1.40 % (31427)------------------------------ 8.33/1.40 % (31427)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.33/1.40 % (31427)Termination reason: Time limit 8.33/1.40 % (31427)Termination phase: Saturation 8.33/1.40 8.33/1.40 % (31427)Memory used [KB]: 7419 8.33/1.40 % (31427)Time elapsed: 0.800 s 8.33/1.40 % (31427)------------------------------ 8.33/1.40 % (31427)------------------------------ 8.33/1.41 % (31411)Time limit reached! 8.33/1.41 % (31411)------------------------------ 8.33/1.41 % (31411)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.33/1.41 % (31411)Termination reason: Time limit 8.33/1.41 8.33/1.41 % (31411)Memory used [KB]: 7803 8.33/1.41 % (31411)Time elapsed: 1.016 s 8.33/1.41 % (31411)------------------------------ 8.33/1.41 % (31411)------------------------------ 8.33/1.42 % (31409)Time limit reached! 8.33/1.42 % (31409)------------------------------ 8.33/1.42 % (31409)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.33/1.42 % (31409)Termination reason: Time limit 8.33/1.42 8.33/1.42 % (31409)Memory used [KB]: 6012 8.33/1.42 % (31409)Time elapsed: 1.054 s 8.33/1.42 % (31409)------------------------------ 8.33/1.42 % (31409)------------------------------ 9.59/1.53 % (31403)Time limit reached! 9.59/1.53 % (31403)------------------------------ 9.59/1.53 % (31403)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.59/1.53 % (31403)Termination reason: Time limit 9.59/1.53 9.59/1.53 % (31403)Memory used [KB]: 9466 9.59/1.53 % (31403)Time elapsed: 1.122 s 9.59/1.53 % (31403)------------------------------ 9.59/1.53 % (31403)------------------------------ 10.76/1.69 % (31410)Time limit reached! 10.76/1.69 % (31410)------------------------------ 10.76/1.69 % (31410)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.76/1.69 % (31410)Termination reason: Time limit 10.76/1.69 10.76/1.69 % (31410)Memory used [KB]: 12025 10.76/1.69 % (31410)Time elapsed: 1.326 s 10.76/1.69 % (31410)------------------------------ 10.76/1.69 % (31410)------------------------------ 12.14/1.85 % (31424)Refutation found. Thanks to Tanya! 12.14/1.85 % SZS status Theorem for theBenchmark 12.14/1.85 % SZS output start Proof for theBenchmark 12.14/1.85 tff(func_def_0, type, c: $int). 12.14/1.85 tff(func_def_1, type, summation: $int > $int). 12.14/1.85 tff(func_def_2, type, max: ($int * $int) > $int). 12.14/1.85 tff(func_def_4, type, sK0: $int). 12.14/1.85 tff(func_def_5, type, sK1: $int). 12.14/1.85 tff(func_def_6, type, sK2: $int). 12.14/1.85 tff(func_def_7, type, sK3: ($int * $int * $int) > $int). 12.14/1.85 tff(func_def_8, type, sK4: ($int * $int * $int) > $int). 12.14/1.85 tff(func_def_9, type, sK5: ($int * $int * $int) > $int). 12.14/1.85 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 12.14/1.85 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 12.14/1.85 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 12.14/1.85 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 12.14/1.85 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 12.14/1.85 tff(f2436,plain,( 12.14/1.85 $false), 12.14/1.85 inference(avatar_sat_refutation,[],[f73,f76,f85,f89,f98,f102,f106,f116,f117,f118,f135,f144,f152,f161,f165,f166,f193,f197,f201,f208,f215,f224,f230,f234,f243,f247,f261,f265,f280,f290,f300,f302,f312,f316,f320,f321,f322,f323,f324,f326,f327,f328,f329,f330,f331,f332,f333,f352,f354,f378,f406,f407,f408,f429,f433,f437,f438,f439,f440,f441,f478,f499,f503,f504,f518,f522,f526,f535,f539,f543,f544,f545,f546,f547,f548,f549,f550,f574,f618,f622,f626,f656,f679,f683,f687,f700,f701,f719,f729,f743,f747,f748,f781,f785,f789,f793,f794,f795,f796,f798,f799,f800,f801,f802,f803,f844,f868,f872,f876,f889,f893,f897,f901,f905,f925,f929,f933,f943,f947,f951,f961,f965,f969,f979,f994,f998,f1002,f1013,f1014,f1031,f1060,f1064,f1065,f1066,f1067,f1071,f1107,f1116,f1120,f1149,f1161,f1165,f1169,f1177,f1181,f1182,f1183,f1207,f1227,f1228,f1229,f1233,f1235,f1236,f1237,f1249,f1251,f1255,f1259,f1263,f1277,f1281,f1285,f1292,f1293,f1317,f1321,f1334,f1338,f1342,f1349,f1350,f1365,f1375,f1385,f1389,f1393,f1404,f1415,f1424,f1428,f1432,f1441,f1445,f1449,f1460,f1464,f1491,f1495,f1499,f1534,f1538,f1562,f1566,f1570,f1577,f1578,f1585,f1594,f1608,f1629,f1630,f1631,f1655,f1659,f1672,f1673,f1690,f1697,f1701,f1705,f1709,f1713,f1742,f1746,f1762,f1766,f1786,f1790,f1794,f1818,f1825,f1826,f1840,f1844,f1868,f1872,f1876,f1895,f1899,f1910,f1914,f1918,f1926,f1930,f1942,f1943,f1958,f1962,f1966,f1977,f1981,f1985,f1997,f1998,f2014,f2023,f2033,f2037,f2041,f2051,f2055,f2059,f2078,f2096,f2100,f2104,f2114,f2124,f2157,f2161,f2168,f2172,f2179,f2204,f2208,f2252,f2256,f2260,f2299,f2303,f2310,f2312,f2324,f2328,f2364,f2368,f2377,f2381,f2397,f2398,f2402,f2406,f2410,f2423,f2427,f2431,f2435])). 12.14/1.85 tff(f2435,plain,( 12.14/1.85 spl6_20 | spl6_245 | ~spl6_104), 12.14/1.85 inference(avatar_split_clause,[],[f2419,f1247,f2433,f210])). 12.14/1.85 tff(f210,plain,( 12.14/1.85 spl6_20 <=> $less(sK0,sK1)), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 12.14/1.85 tff(f2433,plain,( 12.14/1.85 spl6_245 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0)))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_245])])). 12.14/1.85 tff(f1247,plain,( 12.14/1.85 spl6_104 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 12.14/1.85 tff(f2419,plain,( 12.14/1.85 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_104), 12.14/1.85 inference(superposition,[],[f1248,f47])). 12.14/1.85 tff(f47,plain,( 12.14/1.85 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 12.14/1.85 inference(cnf_transformation,[],[f11])). 12.14/1.85 tff(f11,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 12.14/1.85 inference(theory_normalization,[],[f7])). 12.14/1.85 tff(f7,axiom,( 12.14/1.85 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | ~$lesseq(X1,X0))), 12.14/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 12.14/1.85 tff(f1248,plain,( 12.14/1.85 $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_104), 12.14/1.85 inference(avatar_component_clause,[],[f1247])). 12.14/1.85 tff(f2431,plain,( 12.14/1.85 spl6_18 | spl6_244 | ~spl6_104), 12.14/1.85 inference(avatar_split_clause,[],[f2418,f1247,f2429,f203])). 12.14/1.85 tff(f203,plain,( 12.14/1.85 spl6_18 <=> $less(sK1,sK0)), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 12.14/1.85 tff(f2429,plain,( 12.14/1.85 spl6_244 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1)))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_244])])). 12.14/1.85 tff(f2418,plain,( 12.14/1.85 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_104), 12.14/1.85 inference(superposition,[],[f1248,f48])). 12.14/1.85 tff(f48,plain,( 12.14/1.85 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | max(X0,X1) = X1) )), 12.14/1.85 inference(cnf_transformation,[],[f12])). 12.14/1.85 tff(f12,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int] : ($less(X1,X0) | max(X0,X1) = X1)), 12.14/1.85 inference(theory_normalization,[],[f2])). 12.14/1.85 tff(f2,axiom,( 12.14/1.85 ! [X0 : $int,X1 : $int] : (~$lesseq(X0,X1) | max(X0,X1) = X1)), 12.14/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 12.14/1.85 tff(f2427,plain,( 12.14/1.85 spl6_243 | ~spl6_104), 12.14/1.85 inference(avatar_split_clause,[],[f2417,f1247,f2425])). 12.14/1.85 tff(f2425,plain,( 12.14/1.85 spl6_243 <=> $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_243])])). 12.14/1.85 tff(f2417,plain,( 12.14/1.85 $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_104), 12.14/1.85 inference(resolution,[],[f1248,f50])). 12.14/1.85 tff(f50,plain,( 12.14/1.85 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 12.14/1.85 inference(cnf_transformation,[],[f27])). 12.14/1.85 tff(f27,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int] : ((~$less(X1,X0) | $less(summation(X1),summation(X0))) & (~$less(summation(X1),summation(X0)) | $less(X1,X0)))), 12.14/1.85 inference(nnf_transformation,[],[f13])). 12.14/1.85 tff(f13,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) <=> ~$less(summation(X1),summation(X0)))), 12.14/1.85 inference(theory_normalization,[],[f1])). 12.14/1.85 tff(f1,axiom,( 12.14/1.85 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) <=> $lesseq(summation(X0),summation(X1)))), 12.14/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 12.14/1.85 tff(f2423,plain,( 12.14/1.85 ~spl6_242 | ~spl6_104), 12.14/1.85 inference(avatar_split_clause,[],[f2412,f1247,f2421])). 12.14/1.85 tff(f2421,plain,( 12.14/1.85 spl6_242 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_242])])). 12.14/1.85 tff(f2412,plain,( 12.14/1.85 ~model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_104), 12.14/1.85 inference(resolution,[],[f1248,f55])). 12.14/1.85 tff(f55,plain,( 12.14/1.85 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)) )), 12.14/1.85 inference(cnf_transformation,[],[f33])). 12.14/1.85 tff(f33,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))) & (~$less(X2,$sum(c,summation(max(X0,X1)))) | ~model_max(X0,X1,X2)))), 12.14/1.85 inference(nnf_transformation,[],[f15])). 12.14/1.85 tff(f15,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : (model_max(X0,X1,X2) <=> ~$less(X2,$sum(c,summation(max(X0,X1)))))), 12.14/1.85 inference(theory_normalization,[],[f8])). 12.14/1.85 tff(f8,axiom,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : (model_max(X0,X1,X2) <=> $lesseq($sum(c,summation(max(X0,X1))),X2))), 12.14/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_5)). 12.14/1.85 tff(f2410,plain,( 12.14/1.85 spl6_241 | spl6_77), 12.14/1.85 inference(avatar_split_clause,[],[f2396,f941,f2408])). 12.14/1.85 tff(f2408,plain,( 12.14/1.85 spl6_241 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_241])])). 12.14/1.85 tff(f941,plain,( 12.14/1.85 spl6_77 <=> $less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK1))))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_77])])). 12.14/1.85 tff(f2396,plain,( 12.14/1.85 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | spl6_77), 12.14/1.85 inference(resolution,[],[f942,f47])). 12.14/1.85 tff(f942,plain,( 12.14/1.85 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | spl6_77), 12.14/1.85 inference(avatar_component_clause,[],[f941])). 12.14/1.85 tff(f2406,plain,( 12.14/1.85 spl6_240 | spl6_77), 12.14/1.85 inference(avatar_split_clause,[],[f2395,f941,f2404])). 12.14/1.85 tff(f2404,plain,( 12.14/1.85 spl6_240 <=> summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK5(sK0,sK1,sK2)))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_240])])). 12.14/1.85 tff(f2395,plain,( 12.14/1.85 summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK1))),summation(sK5(sK0,sK1,sK2))) | spl6_77), 12.14/1.85 inference(resolution,[],[f942,f48])). 12.14/1.85 tff(f2402,plain,( 12.14/1.85 ~spl6_239 | spl6_77), 12.14/1.85 inference(avatar_split_clause,[],[f2394,f941,f2400])). 12.14/1.85 tff(f2400,plain,( 12.14/1.85 spl6_239 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1)))))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_239])])). 12.14/1.85 tff(f2394,plain,( 12.14/1.85 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK1))))) | spl6_77), 12.14/1.85 inference(resolution,[],[f942,f49])). 12.14/1.85 tff(f49,plain,( 12.14/1.85 ( ! [X0:$int,X1:$int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 12.14/1.85 inference(cnf_transformation,[],[f27])). 12.14/1.85 tff(f2398,plain,( 12.14/1.85 ~spl6_72 | spl6_77), 12.14/1.85 inference(avatar_split_clause,[],[f2391,f941,f899])). 12.14/1.85 tff(f899,plain,( 12.14/1.85 spl6_72 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1)))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 12.14/1.85 tff(f2391,plain,( 12.14/1.85 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1))) | spl6_77), 12.14/1.85 inference(resolution,[],[f942,f50])). 12.14/1.85 tff(f2397,plain,( 12.14/1.85 ~spl6_5 | ~spl6_33 | spl6_77), 12.14/1.85 inference(avatar_split_clause,[],[f2390,f941,f404,f87])). 12.14/1.85 tff(f87,plain,( 12.14/1.85 spl6_5 <=> $less(sK5(sK0,sK1,sK2),sK2)), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 12.14/1.85 tff(f404,plain,( 12.14/1.85 spl6_33 <=> ! [X0 : $int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])). 12.14/1.85 tff(f2390,plain,( 12.14/1.85 ~$less(sK5(sK0,sK1,sK2),sK2) | (~spl6_33 | spl6_77)), 12.14/1.85 inference(resolution,[],[f942,f661])). 12.14/1.85 tff(f661,plain,( 12.14/1.85 ( ! [X10:$int] : ($less(summation(X10),summation($sum(c,summation(sK1)))) | ~$less(X10,sK2)) ) | ~spl6_33), 12.14/1.85 inference(resolution,[],[f405,f50])). 12.14/1.85 tff(f405,plain,( 12.14/1.85 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2)) ) | ~spl6_33), 12.14/1.85 inference(avatar_component_clause,[],[f404])). 12.14/1.85 tff(f2381,plain,( 12.14/1.85 spl6_238 | ~spl6_237 | spl6_215), 12.14/1.85 inference(avatar_split_clause,[],[f2370,f2152,f2375,f2379])). 12.14/1.85 tff(f2379,plain,( 12.14/1.85 spl6_238 <=> $less(sK5(sK2,sK2,summation(sK2)),summation(sK2))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_238])])). 12.14/1.85 tff(f2375,plain,( 12.14/1.85 spl6_237 <=> model_max(sK2,sK2,summation(sK2))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_237])])). 12.14/1.85 tff(f2152,plain,( 12.14/1.85 spl6_215 <=> minsol_model_max(sK2,sK2,summation(sK2))), 12.14/1.85 introduced(avatar_definition,[new_symbols(naming,[spl6_215])])). 12.14/1.85 tff(f2370,plain,( 12.14/1.85 ~model_max(sK2,sK2,summation(sK2)) | $less(sK5(sK2,sK2,summation(sK2)),summation(sK2)) | spl6_215), 12.14/1.85 inference(resolution,[],[f2153,f64])). 12.14/1.85 tff(f64,plain,( 12.14/1.85 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | $less(sK5(X0,X1,X2),X2)) )), 12.14/1.85 inference(cnf_transformation,[],[f44])). 12.14/1.85 tff(f44,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ($less(sK5(X0,X1,X2),X2) & model_max(X0,X1,sK5(X0,X1,X2)))))), 12.14/1.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43])). 12.14/1.85 tff(f43,plain,( 12.14/1.85 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4)) => ($less(sK5(X0,X1,X2),X2) & model_max(X0,X1,sK5(X0,X1,X2))))), 12.14/1.85 introduced(choice_axiom,[])). 12.14/1.85 tff(f42,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X4 : $int] : ($less(X4,X2) & model_max(X0,X1,X4))))), 12.14/1.85 inference(rectify,[],[f41])). 12.14/1.85 tff(f41,plain,( 12.14/1.85 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3))))), 12.14/1.85 inference(flattening,[],[f40])). 12.14/1.86 tff(f40,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_max(X0,X1,X2) | (~model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)))))), 12.14/1.86 inference(nnf_transformation,[],[f23])). 12.14/1.86 tff(f23,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3))) <=> minsol_model_max(X0,X1,X2))), 12.14/1.86 inference(ennf_transformation,[],[f18])). 12.14/1.86 tff(f18,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2))) <=> minsol_model_max(X0,X1,X2))), 12.14/1.86 inference(theory_normalization,[],[f3])). 12.14/1.86 tff(f3,axiom,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) & ! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3))) <=> minsol_model_max(X0,X1,X2))), 12.14/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 12.14/1.86 tff(f2153,plain,( 12.14/1.86 ~minsol_model_max(sK2,sK2,summation(sK2)) | spl6_215), 12.14/1.86 inference(avatar_component_clause,[],[f2152])). 12.14/1.86 tff(f2377,plain,( 12.14/1.86 spl6_236 | ~spl6_237 | spl6_215), 12.14/1.86 inference(avatar_split_clause,[],[f2369,f2152,f2375,f2372])). 12.14/1.86 tff(f2372,plain,( 12.14/1.86 spl6_236 <=> model_max(sK2,sK2,sK5(sK2,sK2,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_236])])). 12.14/1.86 tff(f2369,plain,( 12.14/1.86 ~model_max(sK2,sK2,summation(sK2)) | model_max(sK2,sK2,sK5(sK2,sK2,summation(sK2))) | spl6_215), 12.14/1.86 inference(resolution,[],[f2153,f63])). 12.14/1.86 tff(f63,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | ~model_max(X0,X1,X2) | model_max(X0,X1,sK5(X0,X1,X2))) )), 12.14/1.86 inference(cnf_transformation,[],[f44])). 12.14/1.86 tff(f2368,plain,( 12.14/1.86 spl6_234 | spl6_235 | ~spl6_67), 12.14/1.86 inference(avatar_split_clause,[],[f2357,f870,f2362,f2359])). 12.14/1.86 tff(f2359,plain,( 12.14/1.86 spl6_234 <=> $less(sK1,sK4(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_234])])). 12.14/1.86 tff(f2362,plain,( 12.14/1.86 spl6_235 <=> sK1 = sK4(sK0,sK1,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_235])])). 12.14/1.86 tff(f870,plain,( 12.14/1.86 spl6_67 <=> sK4(sK0,sK1,sK2) = max(sK1,sK4(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 12.14/1.86 tff(f2357,plain,( 12.14/1.86 sK1 = sK4(sK0,sK1,sK2) | $less(sK1,sK4(sK0,sK1,sK2)) | ~spl6_67), 12.14/1.86 inference(superposition,[],[f47,f871])). 12.14/1.86 tff(f871,plain,( 12.14/1.86 sK4(sK0,sK1,sK2) = max(sK1,sK4(sK0,sK1,sK2)) | ~spl6_67), 12.14/1.86 inference(avatar_component_clause,[],[f870])). 12.14/1.86 tff(f2364,plain,( 12.14/1.86 spl6_234 | spl6_235 | ~spl6_67), 12.14/1.86 inference(avatar_split_clause,[],[f2353,f870,f2362,f2359])). 12.14/1.86 tff(f2353,plain,( 12.14/1.86 sK1 = sK4(sK0,sK1,sK2) | $less(sK1,sK4(sK0,sK1,sK2)) | ~spl6_67), 12.14/1.86 inference(superposition,[],[f871,f47])). 12.14/1.86 tff(f2328,plain,( 12.14/1.86 spl6_232 | spl6_233 | ~spl6_45), 12.14/1.86 inference(avatar_split_clause,[],[f2317,f537,f2322,f2319])). 12.14/1.86 tff(f2319,plain,( 12.14/1.86 spl6_232 <=> $less(sK0,sK4(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_232])])). 12.14/1.86 tff(f2322,plain,( 12.14/1.86 spl6_233 <=> sK0 = sK4(sK0,sK1,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_233])])). 12.14/1.86 tff(f537,plain,( 12.14/1.86 spl6_45 <=> sK4(sK0,sK1,sK2) = max(sK0,sK4(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])). 12.14/1.86 tff(f2317,plain,( 12.14/1.86 sK0 = sK4(sK0,sK1,sK2) | $less(sK0,sK4(sK0,sK1,sK2)) | ~spl6_45), 12.14/1.86 inference(superposition,[],[f47,f538])). 12.14/1.86 tff(f538,plain,( 12.14/1.86 sK4(sK0,sK1,sK2) = max(sK0,sK4(sK0,sK1,sK2)) | ~spl6_45), 12.14/1.86 inference(avatar_component_clause,[],[f537])). 12.14/1.86 tff(f2324,plain,( 12.14/1.86 spl6_232 | spl6_233 | ~spl6_45), 12.14/1.86 inference(avatar_split_clause,[],[f2313,f537,f2322,f2319])). 12.14/1.86 tff(f2313,plain,( 12.14/1.86 sK0 = sK4(sK0,sK1,sK2) | $less(sK0,sK4(sK0,sK1,sK2)) | ~spl6_45), 12.14/1.86 inference(superposition,[],[f538,f47])). 12.14/1.86 tff(f2312,plain,( 12.14/1.86 spl6_231 | ~spl6_14 | spl6_224), 12.14/1.86 inference(avatar_split_clause,[],[f2311,f2202,f163,f2308])). 12.14/1.86 tff(f2308,plain,( 12.14/1.86 spl6_231 <=> $less(sK2,$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_231])])). 12.14/1.86 tff(f163,plain,( 12.14/1.86 spl6_14 <=> sK2 = max(sK2,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 12.14/1.86 tff(f2202,plain,( 12.14/1.86 spl6_224 <=> model_max(sK2,sK2,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_224])])). 12.14/1.86 tff(f2311,plain,( 12.14/1.86 $less(sK2,$sum(c,summation(sK2))) | (~spl6_14 | spl6_224)), 12.14/1.86 inference(forward_demodulation,[],[f2306,f164])). 12.14/1.86 tff(f164,plain,( 12.14/1.86 sK2 = max(sK2,sK2) | ~spl6_14), 12.14/1.86 inference(avatar_component_clause,[],[f163])). 12.14/1.86 tff(f2306,plain,( 12.14/1.86 $less(sK2,$sum(c,summation(max(sK2,sK2)))) | spl6_224), 12.14/1.86 inference(resolution,[],[f2203,f56])). 12.14/1.86 tff(f56,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | $less(X2,$sum(c,summation(max(X0,X1))))) )), 12.14/1.86 inference(cnf_transformation,[],[f33])). 12.14/1.86 tff(f2203,plain,( 12.14/1.86 ~model_max(sK2,sK2,sK2) | spl6_224), 12.14/1.86 inference(avatar_component_clause,[],[f2202])). 12.14/1.86 tff(f2310,plain,( 12.14/1.86 spl6_231 | ~spl6_14 | spl6_224), 12.14/1.86 inference(avatar_split_clause,[],[f2304,f2202,f163,f2308])). 12.14/1.86 tff(f2304,plain,( 12.14/1.86 $less(sK2,$sum(c,summation(sK2))) | (~spl6_14 | spl6_224)), 12.14/1.86 inference(resolution,[],[f2203,f508])). 12.14/1.86 tff(f508,plain,( 12.14/1.86 ( ! [X1:$int] : (model_max(sK2,sK2,X1) | $less(X1,$sum(c,summation(sK2)))) ) | ~spl6_14), 12.14/1.86 inference(superposition,[],[f56,f164])). 12.14/1.86 tff(f2303,plain,( 12.14/1.86 ~spl6_228 | spl6_230 | spl6_176), 12.14/1.86 inference(avatar_split_clause,[],[f2292,f1823,f2301,f2294])). 12.14/1.86 tff(f2294,plain,( 12.14/1.86 spl6_228 <=> model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_228])])). 12.14/1.86 tff(f2301,plain,( 12.14/1.86 spl6_230 <=> $less(sK3(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))),$sum(c,summation(sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_230])])). 12.14/1.86 tff(f1823,plain,( 12.14/1.86 spl6_176 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_176])])). 12.14/1.86 tff(f2292,plain,( 12.14/1.86 $less(sK3(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))),$sum(c,summation(sK3(sK0,sK1,sK2)))) | ~model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | spl6_176), 12.14/1.86 inference(resolution,[],[f1824,f54])). 12.14/1.86 tff(f54,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | $less(sK3(X0,X1,X2),X2) | ~model_ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f32])). 12.14/1.86 tff(f32,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ($less(sK3(X0,X1,X2),X2) & model_ub(X0,X1,sK3(X0,X1,X2))) | ~model_ub(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 12.14/1.86 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f30,f31])). 12.14/1.86 tff(f31,plain,( 12.14/1.86 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) => ($less(sK3(X0,X1,X2),X2) & model_ub(X0,X1,sK3(X0,X1,X2))))), 12.14/1.86 introduced(choice_axiom,[])). 12.14/1.86 tff(f30,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 12.14/1.86 inference(rectify,[],[f29])). 12.14/1.86 tff(f29,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 12.14/1.86 inference(flattening,[],[f28])). 12.14/1.86 tff(f28,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_ub(X0,X1,X2) | (? [X3 : $int] : ($less(X3,X2) & model_ub(X0,X1,X3)) | ~model_ub(X0,X1,X2))) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)) | ~minsol_model_ub(X0,X1,X2)))), 12.14/1.86 inference(nnf_transformation,[],[f22])). 12.14/1.86 tff(f22,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (! [X3 : $int] : (~$less(X3,X2) | ~model_ub(X0,X1,X3)) & model_ub(X0,X1,X2)))), 12.14/1.86 inference(ennf_transformation,[],[f14])). 12.14/1.86 tff(f14,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (! [X3 : $int] : (model_ub(X0,X1,X3) => ~$less(X3,X2)) & model_ub(X0,X1,X2)))), 12.14/1.86 inference(theory_normalization,[],[f4])). 12.14/1.86 tff(f4,axiom,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_ub(X0,X1,X2) <=> (! [X3 : $int] : (model_ub(X0,X1,X3) => $lesseq(X2,X3)) & model_ub(X0,X1,X2)))), 12.14/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 12.14/1.86 tff(f1824,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | spl6_176), 12.14/1.86 inference(avatar_component_clause,[],[f1823])). 12.14/1.86 tff(f2299,plain,( 12.14/1.86 ~spl6_228 | spl6_229 | spl6_176), 12.14/1.86 inference(avatar_split_clause,[],[f2291,f1823,f2297,f2294])). 12.14/1.86 tff(f2297,plain,( 12.14/1.86 spl6_229 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_229])])). 12.14/1.86 tff(f2291,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2))))) | ~model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | spl6_176), 12.14/1.86 inference(resolution,[],[f1824,f53])). 12.14/1.86 tff(f53,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | model_ub(X0,X1,sK3(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f32])). 12.14/1.86 tff(f2260,plain,( 12.14/1.86 spl6_227 | spl6_34), 12.14/1.86 inference(avatar_split_clause,[],[f2250,f424,f2258])). 12.14/1.86 tff(f2258,plain,( 12.14/1.86 spl6_227 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_227])])). 12.14/1.86 tff(f424,plain,( 12.14/1.86 spl6_34 <=> model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 12.14/1.86 tff(f2250,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(max(sK0,sK1)))) | spl6_34), 12.14/1.86 inference(resolution,[],[f978,f56])). 12.14/1.86 tff(f978,plain,( 12.14/1.86 ~model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | spl6_34), 12.14/1.86 inference(avatar_component_clause,[],[f424])). 12.14/1.86 tff(f2256,plain,( 12.14/1.86 ~spl6_226 | spl6_34), 12.14/1.86 inference(avatar_split_clause,[],[f2249,f424,f2254])). 12.14/1.86 tff(f2254,plain,( 12.14/1.86 spl6_226 <=> minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_226])])). 12.14/1.86 tff(f2249,plain,( 12.14/1.86 ~minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | spl6_34), 12.14/1.86 inference(resolution,[],[f978,f66])). 12.14/1.86 tff(f66,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f44])). 12.14/1.86 tff(f2252,plain,( 12.14/1.86 ~spl6_3 | spl6_35 | spl6_34), 12.14/1.86 inference(avatar_split_clause,[],[f2248,f424,f427,f80])). 12.14/1.86 tff(f80,plain,( 12.14/1.86 spl6_3 <=> model_max(sK0,sK1,sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 12.14/1.86 tff(f427,plain,( 12.14/1.86 spl6_35 <=> minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 12.14/1.86 tff(f2248,plain,( 12.14/1.86 minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_34), 12.14/1.86 inference(resolution,[],[f978,f63])). 12.14/1.86 tff(f2208,plain,( 12.14/1.86 spl6_225 | ~spl6_224 | spl6_218), 12.14/1.86 inference(avatar_split_clause,[],[f2197,f2163,f2202,f2206])). 12.14/1.86 tff(f2206,plain,( 12.14/1.86 spl6_225 <=> $less(sK5(sK2,sK2,sK2),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_225])])). 12.14/1.86 tff(f2163,plain,( 12.14/1.86 spl6_218 <=> minsol_model_max(sK2,sK2,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_218])])). 12.14/1.86 tff(f2197,plain,( 12.14/1.86 ~model_max(sK2,sK2,sK2) | $less(sK5(sK2,sK2,sK2),sK2) | spl6_218), 12.14/1.86 inference(resolution,[],[f2164,f64])). 12.14/1.86 tff(f2164,plain,( 12.14/1.86 ~minsol_model_max(sK2,sK2,sK2) | spl6_218), 12.14/1.86 inference(avatar_component_clause,[],[f2163])). 12.14/1.86 tff(f2204,plain,( 12.14/1.86 spl6_223 | ~spl6_224 | spl6_218), 12.14/1.86 inference(avatar_split_clause,[],[f2196,f2163,f2202,f2199])). 12.14/1.86 tff(f2199,plain,( 12.14/1.86 spl6_223 <=> model_max(sK2,sK2,sK5(sK2,sK2,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_223])])). 12.14/1.86 tff(f2196,plain,( 12.14/1.86 ~model_max(sK2,sK2,sK2) | model_max(sK2,sK2,sK5(sK2,sK2,sK2)) | spl6_218), 12.14/1.86 inference(resolution,[],[f2164,f63])). 12.14/1.86 tff(f2179,plain,( 12.14/1.86 ~spl6_221 | spl6_222 | ~spl6_14 | ~spl6_36), 12.14/1.86 inference(avatar_split_clause,[],[f2149,f431,f163,f2177,f2174])). 12.14/1.86 tff(f2174,plain,( 12.14/1.86 spl6_221 <=> minsol_model_max(sK2,sK2,sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_221])])). 12.14/1.86 tff(f2177,plain,( 12.14/1.86 spl6_222 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_222])])). 12.14/1.86 tff(f431,plain,( 12.14/1.86 spl6_36 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 12.14/1.86 tff(f2149,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK5(sK0,sK1,sK2)) | (~spl6_14 | ~spl6_36)), 12.14/1.86 inference(resolution,[],[f508,f470])). 12.14/1.86 tff(f470,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~minsol_model_max(X0,X1,sK5(sK0,sK1,sK2))) ) | ~spl6_36), 12.14/1.86 inference(resolution,[],[f432,f65])). 12.14/1.86 tff(f65,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (~$less(X3,X2) | ~model_max(X0,X1,X3) | ~minsol_model_max(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f44])). 12.14/1.86 tff(f432,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) | ~spl6_36), 12.14/1.86 inference(avatar_component_clause,[],[f431])). 12.14/1.86 tff(f2172,plain,( 12.14/1.86 ~spl6_218 | spl6_220 | ~spl6_5 | ~spl6_14), 12.14/1.86 inference(avatar_split_clause,[],[f2148,f163,f87,f2170,f2163])). 12.14/1.86 tff(f2170,plain,( 12.14/1.86 spl6_220 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_220])])). 12.14/1.86 tff(f2148,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_5 | ~spl6_14)), 12.14/1.86 inference(resolution,[],[f508,f127])). 12.14/1.86 tff(f127,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,sK5(sK0,sK1,sK2)) | ~minsol_model_max(X0,X1,sK2)) ) | ~spl6_5), 12.14/1.86 inference(resolution,[],[f88,f65])). 12.14/1.86 tff(f88,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK2),sK2) | ~spl6_5), 12.14/1.86 inference(avatar_component_clause,[],[f87])). 12.14/1.86 tff(f2168,plain,( 12.14/1.86 ~spl6_218 | spl6_219 | ~spl6_8 | ~spl6_14), 12.14/1.86 inference(avatar_split_clause,[],[f2147,f163,f100,f2166,f2163])). 12.14/1.86 tff(f2166,plain,( 12.14/1.86 spl6_219 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_219])])). 12.14/1.86 tff(f100,plain,( 12.14/1.86 spl6_8 <=> $less(sK3(sK0,sK1,sK2),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 12.14/1.86 tff(f2147,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_8 | ~spl6_14)), 12.14/1.86 inference(resolution,[],[f508,f136])). 12.14/1.86 tff(f136,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,sK3(sK0,sK1,sK2)) | ~minsol_model_max(X0,X1,sK2)) ) | ~spl6_8), 12.14/1.86 inference(resolution,[],[f101,f65])). 12.14/1.86 tff(f101,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_8), 12.14/1.86 inference(avatar_component_clause,[],[f100])). 12.14/1.86 tff(f2161,plain,( 12.14/1.86 ~spl6_215 | spl6_217 | ~spl6_11 | ~spl6_14), 12.14/1.86 inference(avatar_split_clause,[],[f2146,f163,f142,f2159,f2152])). 12.14/1.86 tff(f2159,plain,( 12.14/1.86 spl6_217 <=> $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_217])])). 12.14/1.86 tff(f142,plain,( 12.14/1.86 spl6_11 <=> $less(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 12.14/1.86 tff(f2146,plain,( 12.14/1.86 $less(summation(sK3(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_11 | ~spl6_14)), 12.14/1.86 inference(resolution,[],[f508,f282])). 12.14/1.86 tff(f282,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,summation(sK3(sK0,sK1,sK2))) | ~minsol_model_max(X0,X1,summation(sK2))) ) | ~spl6_11), 12.14/1.86 inference(resolution,[],[f143,f65])). 12.14/1.86 tff(f143,plain,( 12.14/1.86 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_11), 12.14/1.86 inference(avatar_component_clause,[],[f142])). 12.14/1.86 tff(f2157,plain,( 12.14/1.86 ~spl6_215 | spl6_216 | ~spl6_10 | ~spl6_14), 12.14/1.86 inference(avatar_split_clause,[],[f2145,f163,f133,f2155,f2152])). 12.14/1.86 tff(f2155,plain,( 12.14/1.86 spl6_216 <=> $less(summation(sK5(sK0,sK1,sK2)),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_216])])). 12.14/1.86 tff(f133,plain,( 12.14/1.86 spl6_10 <=> $less(summation(sK5(sK0,sK1,sK2)),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 12.14/1.86 tff(f2145,plain,( 12.14/1.86 $less(summation(sK5(sK0,sK1,sK2)),$sum(c,summation(sK2))) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_10 | ~spl6_14)), 12.14/1.86 inference(resolution,[],[f508,f272])). 12.14/1.86 tff(f272,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~model_max(X0,X1,summation(sK5(sK0,sK1,sK2))) | ~minsol_model_max(X0,X1,summation(sK2))) ) | ~spl6_10), 12.14/1.86 inference(resolution,[],[f134,f65])). 12.14/1.86 tff(f134,plain,( 12.14/1.86 $less(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | ~spl6_10), 12.14/1.86 inference(avatar_component_clause,[],[f133])). 12.14/1.86 tff(f2124,plain,( 12.14/1.86 spl6_214 | ~spl6_199), 12.14/1.86 inference(avatar_split_clause,[],[f2120,f1992,f2122])). 12.14/1.86 tff(f2122,plain,( 12.14/1.86 spl6_214 <=> $less(summation($sum(c,summation(sK1))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_214])])). 12.14/1.86 tff(f1992,plain,( 12.14/1.86 spl6_199 <=> $less($sum(c,summation(sK1)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_199])])). 12.14/1.86 tff(f2120,plain,( 12.14/1.86 $less(summation($sum(c,summation(sK1))),summation(sK2)) | ~spl6_199), 12.14/1.86 inference(resolution,[],[f1993,f50])). 12.14/1.86 tff(f1993,plain,( 12.14/1.86 $less($sum(c,summation(sK1)),sK2) | ~spl6_199), 12.14/1.86 inference(avatar_component_clause,[],[f1992])). 12.14/1.86 tff(f2114,plain,( 12.14/1.86 spl6_213 | ~spl6_110 | spl6_133), 12.14/1.86 inference(avatar_split_clause,[],[f2105,f1455,f1283,f2112])). 12.14/1.86 tff(f2112,plain,( 12.14/1.86 spl6_213 <=> $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_213])])). 12.14/1.86 tff(f1283,plain,( 12.14/1.86 spl6_110 <=> ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 12.14/1.86 tff(f1455,plain,( 12.14/1.86 spl6_133 <=> model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_133])])). 12.14/1.86 tff(f2105,plain,( 12.14/1.86 $less($sum(c,summation(max(sK0,sK1))),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | (~spl6_110 | spl6_133)), 12.14/1.86 inference(resolution,[],[f1456,f1313])). 12.14/1.86 tff(f1313,plain,( 12.14/1.86 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))) ) | ~spl6_110), 12.14/1.86 inference(resolution,[],[f1284,f59])). 12.14/1.86 tff(f59,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (model_ub(X0,X1,X2) | ~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3)))) )), 12.14/1.86 inference(cnf_transformation,[],[f37])). 12.14/1.86 tff(f37,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & ((ub(X0,X1,sK4(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK4(X0,X1,X2))))) | ~model_ub(X0,X1,X2)))), 12.14/1.86 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36])). 12.14/1.86 tff(f36,plain,( 12.14/1.86 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,$sum(c,summation(X4)))) => (ub(X0,X1,sK4(X0,X1,X2)) & ~$less(X2,$sum(c,summation(sK4(X0,X1,X2))))))), 12.14/1.86 introduced(choice_axiom,[])). 12.14/1.86 tff(f35,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & (? [X4 : $int] : (ub(X0,X1,X4) & ~$less(X2,$sum(c,summation(X4)))) | ~model_ub(X0,X1,X2)))), 12.14/1.86 inference(rectify,[],[f34])). 12.14/1.86 tff(f34,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : (~ub(X0,X1,X3) | $less(X2,$sum(c,summation(X3))))) & (? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))) | ~model_ub(X0,X1,X2)))), 12.14/1.86 inference(nnf_transformation,[],[f16])). 12.14/1.86 tff(f16,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & ~$less(X2,$sum(c,summation(X3)))))), 12.14/1.86 inference(theory_normalization,[],[f10])). 12.14/1.86 tff(f10,axiom,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (ub(X0,X1,X3) & $lesseq($sum(c,summation(X3)),X2)))), 12.14/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_5)). 12.14/1.86 tff(f1284,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_110), 12.14/1.86 inference(avatar_component_clause,[],[f1283])). 12.14/1.86 tff(f1456,plain,( 12.14/1.86 ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | spl6_133), 12.14/1.86 inference(avatar_component_clause,[],[f1455])). 12.14/1.86 tff(f2104,plain,( 12.14/1.86 spl6_212 | spl6_115), 12.14/1.86 inference(avatar_split_clause,[],[f2092,f1329,f2102])). 12.14/1.86 tff(f2102,plain,( 12.14/1.86 spl6_212 <=> sK2 = max(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_212])])). 12.14/1.86 tff(f1329,plain,( 12.14/1.86 spl6_115 <=> $less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_115])])). 12.14/1.86 tff(f2092,plain,( 12.14/1.86 sK2 = max(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_115), 12.14/1.86 inference(resolution,[],[f1330,f47])). 12.14/1.86 tff(f1330,plain,( 12.14/1.86 ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_115), 12.14/1.86 inference(avatar_component_clause,[],[f1329])). 12.14/1.86 tff(f2100,plain,( 12.14/1.86 spl6_211 | spl6_115), 12.14/1.86 inference(avatar_split_clause,[],[f2091,f1329,f2098])). 12.14/1.86 tff(f2098,plain,( 12.14/1.86 spl6_211 <=> sK2 = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_211])])). 12.14/1.86 tff(f2091,plain,( 12.14/1.86 sK2 = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK2) | spl6_115), 12.14/1.86 inference(resolution,[],[f1330,f48])). 12.14/1.86 tff(f2096,plain,( 12.14/1.86 ~spl6_210 | spl6_115), 12.14/1.86 inference(avatar_split_clause,[],[f2090,f1329,f2094])). 12.14/1.86 tff(f2094,plain,( 12.14/1.86 spl6_210 <=> $less(summation(sK2),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_210])])). 12.14/1.86 tff(f2090,plain,( 12.14/1.86 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | spl6_115), 12.14/1.86 inference(resolution,[],[f1330,f49])). 12.14/1.86 tff(f2078,plain,( 12.14/1.86 spl6_209 | ~spl6_86), 12.14/1.86 inference(avatar_split_clause,[],[f2074,f1008,f2076])). 12.14/1.86 tff(f2076,plain,( 12.14/1.86 spl6_209 <=> $less(summation($sum(c,summation(sK4(sK0,sK1,sK2)))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_209])])). 12.14/1.86 tff(f1008,plain,( 12.14/1.86 spl6_86 <=> $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])). 12.14/1.86 tff(f2074,plain,( 12.14/1.86 $less(summation($sum(c,summation(sK4(sK0,sK1,sK2)))),summation(sK2)) | ~spl6_86), 12.14/1.86 inference(resolution,[],[f1009,f50])). 12.14/1.86 tff(f1009,plain,( 12.14/1.86 $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_86), 12.14/1.86 inference(avatar_component_clause,[],[f1008])). 12.14/1.86 tff(f2059,plain,( 12.14/1.86 spl6_208 | spl6_74), 12.14/1.86 inference(avatar_split_clause,[],[f2047,f923,f2057])). 12.14/1.86 tff(f2057,plain,( 12.14/1.86 spl6_208 <=> summation(sK2) = max(summation(sK2),summation(sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_208])])). 12.14/1.86 tff(f923,plain,( 12.14/1.86 spl6_74 <=> $less(summation(sK2),summation(sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 12.14/1.86 tff(f2047,plain,( 12.14/1.86 summation(sK2) = max(summation(sK2),summation(sK5(sK0,sK1,sK2))) | spl6_74), 12.14/1.86 inference(resolution,[],[f924,f47])). 12.14/1.86 tff(f924,plain,( 12.14/1.86 ~$less(summation(sK2),summation(sK5(sK0,sK1,sK2))) | spl6_74), 12.14/1.86 inference(avatar_component_clause,[],[f923])). 12.14/1.86 tff(f2055,plain,( 12.14/1.86 spl6_207 | spl6_74), 12.14/1.86 inference(avatar_split_clause,[],[f2046,f923,f2053])). 12.14/1.86 tff(f2053,plain,( 12.14/1.86 spl6_207 <=> summation(sK2) = max(summation(sK5(sK0,sK1,sK2)),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_207])])). 12.14/1.86 tff(f2046,plain,( 12.14/1.86 summation(sK2) = max(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | spl6_74), 12.14/1.86 inference(resolution,[],[f924,f48])). 12.14/1.86 tff(f2051,plain,( 12.14/1.86 ~spl6_206 | spl6_74), 12.14/1.86 inference(avatar_split_clause,[],[f2045,f923,f2049])). 12.14/1.86 tff(f2049,plain,( 12.14/1.86 spl6_206 <=> $less(summation(summation(sK2)),summation(summation(sK5(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_206])])). 12.14/1.86 tff(f2045,plain,( 12.14/1.86 ~$less(summation(summation(sK2)),summation(summation(sK5(sK0,sK1,sK2)))) | spl6_74), 12.14/1.86 inference(resolution,[],[f924,f49])). 12.14/1.86 tff(f2041,plain,( 12.14/1.86 spl6_205 | spl6_66), 12.14/1.86 inference(avatar_split_clause,[],[f2029,f866,f2039])). 12.14/1.86 tff(f2039,plain,( 12.14/1.86 spl6_205 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK1))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_205])])). 12.14/1.86 tff(f866,plain,( 12.14/1.86 spl6_66 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK1))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_66])])). 12.14/1.86 tff(f2029,plain,( 12.14/1.86 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK1)) | spl6_66), 12.14/1.86 inference(resolution,[],[f867,f47])). 12.14/1.86 tff(f867,plain,( 12.14/1.86 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK1)) | spl6_66), 12.14/1.86 inference(avatar_component_clause,[],[f866])). 12.14/1.86 tff(f2037,plain,( 12.14/1.86 spl6_204 | spl6_66), 12.14/1.86 inference(avatar_split_clause,[],[f2028,f866,f2035])). 12.14/1.86 tff(f2035,plain,( 12.14/1.86 spl6_204 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK1),summation(sK4(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_204])])). 12.14/1.86 tff(f2028,plain,( 12.14/1.86 summation(sK4(sK0,sK1,sK2)) = max(summation(sK1),summation(sK4(sK0,sK1,sK2))) | spl6_66), 12.14/1.86 inference(resolution,[],[f867,f48])). 12.14/1.86 tff(f2033,plain,( 12.14/1.86 ~spl6_203 | spl6_66), 12.14/1.86 inference(avatar_split_clause,[],[f2027,f866,f2031])). 12.14/1.86 tff(f2031,plain,( 12.14/1.86 spl6_203 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK1)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_203])])). 12.14/1.86 tff(f2027,plain,( 12.14/1.86 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK1))) | spl6_66), 12.14/1.86 inference(resolution,[],[f867,f49])). 12.14/1.86 tff(f2023,plain,( 12.14/1.86 spl6_202 | ~spl6_191), 12.14/1.86 inference(avatar_split_clause,[],[f2019,f1937,f2021])). 12.14/1.86 tff(f2021,plain,( 12.14/1.86 spl6_202 <=> $less(summation($sum(c,summation(sK0))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_202])])). 12.14/1.86 tff(f1937,plain,( 12.14/1.86 spl6_191 <=> $less($sum(c,summation(sK0)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_191])])). 12.14/1.86 tff(f2019,plain,( 12.14/1.86 $less(summation($sum(c,summation(sK0))),summation(sK2)) | ~spl6_191), 12.14/1.86 inference(resolution,[],[f1938,f50])). 12.14/1.86 tff(f1938,plain,( 12.14/1.86 $less($sum(c,summation(sK0)),sK2) | ~spl6_191), 12.14/1.86 inference(avatar_component_clause,[],[f1937])). 12.14/1.86 tff(f2014,plain,( 12.14/1.86 spl6_201 | ~spl6_54), 12.14/1.86 inference(avatar_split_clause,[],[f2008,f695,f2012])). 12.14/1.86 tff(f2012,plain,( 12.14/1.86 spl6_201 <=> $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_201])])). 12.14/1.86 tff(f695,plain,( 12.14/1.86 spl6_54 <=> $less($sum(c,summation(max(sK0,sK1))),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 12.14/1.86 tff(f2008,plain,( 12.14/1.86 $less(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | ~spl6_54), 12.14/1.86 inference(resolution,[],[f696,f50])). 12.14/1.86 tff(f696,plain,( 12.14/1.86 $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_54), 12.14/1.86 inference(avatar_component_clause,[],[f695])). 12.14/1.86 tff(f1998,plain,( 12.14/1.86 spl6_199 | spl6_200 | ~spl6_49), 12.14/1.86 inference(avatar_split_clause,[],[f1990,f620,f1995,f1992])). 12.14/1.86 tff(f1995,plain,( 12.14/1.86 spl6_200 <=> sK2 = $sum(c,summation(sK1))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_200])])). 12.14/1.86 tff(f620,plain,( 12.14/1.86 spl6_49 <=> sK2 = max($sum(c,summation(sK1)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 12.14/1.86 tff(f1990,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK1)) | $less($sum(c,summation(sK1)),sK2) | ~spl6_49), 12.14/1.86 inference(superposition,[],[f47,f621])). 12.14/1.86 tff(f621,plain,( 12.14/1.86 sK2 = max($sum(c,summation(sK1)),sK2) | ~spl6_49), 12.14/1.86 inference(avatar_component_clause,[],[f620])). 12.14/1.86 tff(f1997,plain,( 12.14/1.86 spl6_199 | spl6_200 | ~spl6_49), 12.14/1.86 inference(avatar_split_clause,[],[f1986,f620,f1995,f1992])). 12.14/1.86 tff(f1986,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK1)) | $less($sum(c,summation(sK1)),sK2) | ~spl6_49), 12.14/1.86 inference(superposition,[],[f621,f47])). 12.14/1.86 tff(f1985,plain,( 12.14/1.86 spl6_198 | spl6_48), 12.14/1.86 inference(avatar_split_clause,[],[f1973,f616,f1983])). 12.14/1.86 tff(f1983,plain,( 12.14/1.86 spl6_198 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_198])])). 12.14/1.86 tff(f616,plain,( 12.14/1.86 spl6_48 <=> $less(summation(sK2),summation($sum(c,summation(sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 12.14/1.86 tff(f1973,plain,( 12.14/1.86 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK1)))) | spl6_48), 12.14/1.86 inference(resolution,[],[f617,f47])). 12.14/1.86 tff(f617,plain,( 12.14/1.86 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | spl6_48), 12.14/1.86 inference(avatar_component_clause,[],[f616])). 12.14/1.86 tff(f1981,plain,( 12.14/1.86 spl6_197 | spl6_48), 12.14/1.86 inference(avatar_split_clause,[],[f1972,f616,f1979])). 12.14/1.86 tff(f1979,plain,( 12.14/1.86 spl6_197 <=> summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_197])])). 12.14/1.86 tff(f1972,plain,( 12.14/1.86 summation(sK2) = max(summation($sum(c,summation(sK1))),summation(sK2)) | spl6_48), 12.14/1.86 inference(resolution,[],[f617,f48])). 12.14/1.86 tff(f1977,plain,( 12.14/1.86 ~spl6_196 | spl6_48), 12.14/1.86 inference(avatar_split_clause,[],[f1971,f616,f1975])). 12.14/1.86 tff(f1975,plain,( 12.14/1.86 spl6_196 <=> $less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_196])])). 12.14/1.86 tff(f1971,plain,( 12.14/1.86 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK1))))) | spl6_48), 12.14/1.86 inference(resolution,[],[f617,f49])). 12.14/1.86 tff(f1966,plain,( 12.14/1.86 spl6_195 | spl6_44), 12.14/1.86 inference(avatar_split_clause,[],[f1954,f533,f1964])). 12.14/1.86 tff(f1964,plain,( 12.14/1.86 spl6_195 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK0))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_195])])). 12.14/1.86 tff(f533,plain,( 12.14/1.86 spl6_44 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK0))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 12.14/1.86 tff(f1954,plain,( 12.14/1.86 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation(sK0)) | spl6_44), 12.14/1.86 inference(resolution,[],[f534,f47])). 12.14/1.86 tff(f534,plain,( 12.14/1.86 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK0)) | spl6_44), 12.14/1.86 inference(avatar_component_clause,[],[f533])). 12.14/1.86 tff(f1962,plain,( 12.14/1.86 spl6_194 | spl6_44), 12.14/1.86 inference(avatar_split_clause,[],[f1953,f533,f1960])). 12.14/1.86 tff(f1960,plain,( 12.14/1.86 spl6_194 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK0),summation(sK4(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_194])])). 12.14/1.86 tff(f1953,plain,( 12.14/1.86 summation(sK4(sK0,sK1,sK2)) = max(summation(sK0),summation(sK4(sK0,sK1,sK2))) | spl6_44), 12.14/1.86 inference(resolution,[],[f534,f48])). 12.14/1.86 tff(f1958,plain,( 12.14/1.86 ~spl6_193 | spl6_44), 12.14/1.86 inference(avatar_split_clause,[],[f1952,f533,f1956])). 12.14/1.86 tff(f1956,plain,( 12.14/1.86 spl6_193 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK0)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_193])])). 12.14/1.86 tff(f1952,plain,( 12.14/1.86 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK0))) | spl6_44), 12.14/1.86 inference(resolution,[],[f534,f49])). 12.14/1.86 tff(f1943,plain,( 12.14/1.86 spl6_191 | spl6_192 | ~spl6_42), 12.14/1.86 inference(avatar_split_clause,[],[f1935,f520,f1940,f1937])). 12.14/1.86 tff(f1940,plain,( 12.14/1.86 spl6_192 <=> sK2 = $sum(c,summation(sK0))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_192])])). 12.14/1.86 tff(f520,plain,( 12.14/1.86 spl6_42 <=> sK2 = max($sum(c,summation(sK0)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 12.14/1.86 tff(f1935,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK0)) | $less($sum(c,summation(sK0)),sK2) | ~spl6_42), 12.14/1.86 inference(superposition,[],[f47,f521])). 12.14/1.86 tff(f521,plain,( 12.14/1.86 sK2 = max($sum(c,summation(sK0)),sK2) | ~spl6_42), 12.14/1.86 inference(avatar_component_clause,[],[f520])). 12.14/1.86 tff(f1942,plain,( 12.14/1.86 spl6_191 | spl6_192 | ~spl6_42), 12.14/1.86 inference(avatar_split_clause,[],[f1931,f520,f1940,f1937])). 12.14/1.86 tff(f1931,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK0)) | $less($sum(c,summation(sK0)),sK2) | ~spl6_42), 12.14/1.86 inference(superposition,[],[f521,f47])). 12.14/1.86 tff(f1930,plain,( 12.14/1.86 spl6_190 | ~spl6_24 | spl6_151), 12.14/1.86 inference(avatar_split_clause,[],[f1920,f1650,f245,f1928])). 12.14/1.86 tff(f1928,plain,( 12.14/1.86 spl6_190 <=> $less($sum(c,summation(sK1)),$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_190])])). 12.14/1.86 tff(f245,plain,( 12.14/1.86 spl6_24 <=> ub(sK0,sK1,sK4(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 12.14/1.86 tff(f1650,plain,( 12.14/1.86 spl6_151 <=> model_ub(sK0,sK1,$sum(c,summation(sK1)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_151])])). 12.14/1.86 tff(f1920,plain,( 12.14/1.86 $less($sum(c,summation(sK1)),$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_24 | spl6_151)), 12.14/1.86 inference(resolution,[],[f1651,f257])). 12.14/1.86 tff(f257,plain,( 12.14/1.86 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,summation(sK4(sK0,sK1,sK2))))) ) | ~spl6_24), 12.14/1.86 inference(resolution,[],[f246,f59])). 12.14/1.86 tff(f246,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_24), 12.14/1.86 inference(avatar_component_clause,[],[f245])). 12.14/1.86 tff(f1651,plain,( 12.14/1.86 ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | spl6_151), 12.14/1.86 inference(avatar_component_clause,[],[f1650])). 12.14/1.86 tff(f1926,plain,( 12.14/1.86 spl6_189 | ~spl6_110 | spl6_151), 12.14/1.86 inference(avatar_split_clause,[],[f1919,f1650,f1283,f1924])). 12.14/1.86 tff(f1924,plain,( 12.14/1.86 spl6_189 <=> $less($sum(c,summation(sK1)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_189])])). 12.14/1.86 tff(f1919,plain,( 12.14/1.86 $less($sum(c,summation(sK1)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | (~spl6_110 | spl6_151)), 12.14/1.86 inference(resolution,[],[f1651,f1313])). 12.14/1.86 tff(f1918,plain,( 12.14/1.86 spl6_188 | spl6_41), 12.14/1.86 inference(avatar_split_clause,[],[f1906,f516,f1916])). 12.14/1.86 tff(f1916,plain,( 12.14/1.86 spl6_188 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_188])])). 12.14/1.86 tff(f516,plain,( 12.14/1.86 spl6_41 <=> $less(summation(sK2),summation($sum(c,summation(sK0))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 12.14/1.86 tff(f1906,plain,( 12.14/1.86 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK0)))) | spl6_41), 12.14/1.86 inference(resolution,[],[f517,f47])). 12.14/1.86 tff(f517,plain,( 12.14/1.86 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | spl6_41), 12.14/1.86 inference(avatar_component_clause,[],[f516])). 12.14/1.86 tff(f1914,plain,( 12.14/1.86 spl6_187 | spl6_41), 12.14/1.86 inference(avatar_split_clause,[],[f1905,f516,f1912])). 12.14/1.86 tff(f1912,plain,( 12.14/1.86 spl6_187 <=> summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_187])])). 12.14/1.86 tff(f1905,plain,( 12.14/1.86 summation(sK2) = max(summation($sum(c,summation(sK0))),summation(sK2)) | spl6_41), 12.14/1.86 inference(resolution,[],[f517,f48])). 12.14/1.86 tff(f1910,plain,( 12.14/1.86 ~spl6_186 | spl6_41), 12.14/1.86 inference(avatar_split_clause,[],[f1904,f516,f1908])). 12.14/1.86 tff(f1908,plain,( 12.14/1.86 spl6_186 <=> $less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_186])])). 12.14/1.86 tff(f1904,plain,( 12.14/1.86 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK0))))) | spl6_41), 12.14/1.86 inference(resolution,[],[f517,f49])). 12.14/1.86 tff(f1899,plain,( 12.14/1.86 ~spl6_183 | spl6_185 | spl6_165), 12.14/1.86 inference(avatar_split_clause,[],[f1888,f1740,f1897,f1890])). 12.14/1.86 tff(f1890,plain,( 12.14/1.86 spl6_183 <=> model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_183])])). 12.14/1.86 tff(f1897,plain,( 12.14/1.86 spl6_185 <=> $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_185])])). 12.14/1.86 tff(f1740,plain,( 12.14/1.86 spl6_165 <=> minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_165])])). 12.14/1.86 tff(f1888,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_165), 12.14/1.86 inference(resolution,[],[f1741,f54])). 12.14/1.86 tff(f1741,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_165), 12.14/1.86 inference(avatar_component_clause,[],[f1740])). 12.14/1.86 tff(f1895,plain,( 12.14/1.86 ~spl6_183 | spl6_184 | spl6_165), 12.14/1.86 inference(avatar_split_clause,[],[f1887,f1740,f1893,f1890])). 12.14/1.86 tff(f1893,plain,( 12.14/1.86 spl6_184 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_184])])). 12.14/1.86 tff(f1887,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,sK5(sK0,sK1,sK2))) | ~model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_165), 12.14/1.86 inference(resolution,[],[f1741,f53])). 12.14/1.86 tff(f1876,plain,( 12.14/1.86 spl6_182 | spl6_117), 12.14/1.86 inference(avatar_split_clause,[],[f1864,f1336,f1874])). 12.14/1.86 tff(f1874,plain,( 12.14/1.86 spl6_182 <=> sK3(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_182])])). 12.14/1.86 tff(f1336,plain,( 12.14/1.86 spl6_117 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_117])])). 12.14/1.86 tff(f1864,plain,( 12.14/1.86 sK3(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_117), 12.14/1.86 inference(resolution,[],[f1337,f47])). 12.14/1.86 tff(f1337,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_117), 12.14/1.86 inference(avatar_component_clause,[],[f1336])). 12.14/1.86 tff(f1872,plain,( 12.14/1.86 spl6_181 | spl6_117), 12.14/1.86 inference(avatar_split_clause,[],[f1863,f1336,f1870])). 12.14/1.86 tff(f1870,plain,( 12.14/1.86 spl6_181 <=> sK3(sK0,sK1,sK3(sK0,sK1,sK2)) = max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_181])])). 12.14/1.86 tff(f1863,plain,( 12.14/1.86 sK3(sK0,sK1,sK3(sK0,sK1,sK2)) = max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_117), 12.14/1.86 inference(resolution,[],[f1337,f48])). 12.14/1.86 tff(f1868,plain,( 12.14/1.86 ~spl6_180 | spl6_117), 12.14/1.86 inference(avatar_split_clause,[],[f1862,f1336,f1866])). 12.14/1.86 tff(f1866,plain,( 12.14/1.86 spl6_180 <=> $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_180])])). 12.14/1.86 tff(f1862,plain,( 12.14/1.86 ~$less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))))) | spl6_117), 12.14/1.86 inference(resolution,[],[f1337,f49])). 12.14/1.86 tff(f1844,plain,( 12.14/1.86 ~spl6_177 | spl6_179 | spl6_159), 12.14/1.86 inference(avatar_split_clause,[],[f1833,f1695,f1842,f1835])). 12.14/1.86 tff(f1835,plain,( 12.14/1.86 spl6_177 <=> model_ub(sK0,sK1,$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_177])])). 12.14/1.86 tff(f1842,plain,( 12.14/1.86 spl6_179 <=> $less(sK3(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_179])])). 12.14/1.86 tff(f1695,plain,( 12.14/1.86 spl6_159 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_159])])). 12.14/1.86 tff(f1833,plain,( 12.14/1.86 $less(sK3(sK0,sK1,$sum(c,summation(sK2))),$sum(c,summation(sK2))) | ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | spl6_159), 12.14/1.86 inference(resolution,[],[f1696,f54])). 12.14/1.86 tff(f1696,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | spl6_159), 12.14/1.86 inference(avatar_component_clause,[],[f1695])). 12.14/1.86 tff(f1840,plain,( 12.14/1.86 ~spl6_177 | spl6_178 | spl6_159), 12.14/1.86 inference(avatar_split_clause,[],[f1832,f1695,f1838,f1835])). 12.14/1.86 tff(f1838,plain,( 12.14/1.86 spl6_178 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_178])])). 12.14/1.86 tff(f1832,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK2)))) | ~model_ub(sK0,sK1,$sum(c,summation(sK2))) | spl6_159), 12.14/1.86 inference(resolution,[],[f1696,f53])). 12.14/1.86 tff(f1826,plain,( 12.14/1.86 spl6_173 | spl6_174 | ~spl6_123), 12.14/1.86 inference(avatar_split_clause,[],[f1811,f1387,f1816,f1813])). 12.14/1.86 tff(f1813,plain,( 12.14/1.86 spl6_173 <=> $less($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_173])])). 12.14/1.86 tff(f1816,plain,( 12.14/1.86 spl6_174 <=> sK3(sK0,sK1,sK2) = $sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_174])])). 12.14/1.86 tff(f1387,plain,( 12.14/1.86 spl6_123 <=> sK3(sK0,sK1,sK2) = max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_123])])). 12.14/1.86 tff(f1811,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = $sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))) | $less($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2)) | ~spl6_123), 12.14/1.86 inference(superposition,[],[f47,f1388])). 12.14/1.86 tff(f1388,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2)) | ~spl6_123), 12.14/1.86 inference(avatar_component_clause,[],[f1387])). 12.14/1.86 tff(f1825,plain,( 12.14/1.86 spl6_175 | ~spl6_176 | ~spl6_7 | ~spl6_123), 12.14/1.86 inference(avatar_split_clause,[],[f1808,f1387,f96,f1823,f1820])). 12.14/1.86 tff(f1820,plain,( 12.14/1.86 spl6_175 <=> model_max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_175])])). 12.14/1.86 tff(f96,plain,( 12.14/1.86 spl6_7 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 12.14/1.86 tff(f1808,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK3(sK0,sK1,sK2)))) | model_max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_123)), 12.14/1.86 inference(superposition,[],[f1309,f1388])). 12.14/1.86 tff(f1309,plain,( 12.14/1.86 ( ! [X8:$int,X7:$int] : (~minsol_model_ub(sK0,sK1,$sum(c,summation(max(X7,X8)))) | model_max(X7,X8,sK3(sK0,sK1,sK2))) ) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f1268,f56])). 12.14/1.86 tff(f1268,plain,( 12.14/1.86 ( ! [X0:$int] : (~$less(sK3(sK0,sK1,sK2),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f97,f52])). 12.14/1.86 tff(f52,plain,( 12.14/1.86 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f32])). 12.14/1.86 tff(f97,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_7), 12.14/1.86 inference(avatar_component_clause,[],[f96])). 12.14/1.86 tff(f1818,plain,( 12.14/1.86 spl6_173 | spl6_174 | ~spl6_123), 12.14/1.86 inference(avatar_split_clause,[],[f1807,f1387,f1816,f1813])). 12.14/1.86 tff(f1807,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = $sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))) | $less($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2)) | ~spl6_123), 12.14/1.86 inference(superposition,[],[f1388,f47])). 12.14/1.86 tff(f1794,plain,( 12.14/1.86 spl6_172 | spl6_122), 12.14/1.86 inference(avatar_split_clause,[],[f1782,f1383,f1792])). 12.14/1.86 tff(f1792,plain,( 12.14/1.86 spl6_172 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_172])])). 12.14/1.86 tff(f1383,plain,( 12.14/1.86 spl6_122 <=> $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_122])])). 12.14/1.86 tff(f1782,plain,( 12.14/1.86 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_122), 12.14/1.86 inference(resolution,[],[f1384,f47])). 12.14/1.86 tff(f1384,plain,( 12.14/1.86 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_122), 12.14/1.86 inference(avatar_component_clause,[],[f1383])). 12.14/1.86 tff(f1790,plain,( 12.14/1.86 spl6_171 | spl6_122), 12.14/1.86 inference(avatar_split_clause,[],[f1781,f1383,f1788])). 12.14/1.86 tff(f1788,plain,( 12.14/1.86 spl6_171 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))),summation(sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_171])])). 12.14/1.86 tff(f1781,plain,( 12.14/1.86 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))),summation(sK3(sK0,sK1,sK2))) | spl6_122), 12.14/1.86 inference(resolution,[],[f1384,f48])). 12.14/1.86 tff(f1786,plain,( 12.14/1.86 ~spl6_170 | spl6_122), 12.14/1.86 inference(avatar_split_clause,[],[f1780,f1383,f1784])). 12.14/1.86 tff(f1784,plain,( 12.14/1.86 spl6_170 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_170])])). 12.14/1.86 tff(f1780,plain,( 12.14/1.86 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))))) | spl6_122), 12.14/1.86 inference(resolution,[],[f1384,f49])). 12.14/1.86 tff(f1766,plain,( 12.14/1.86 ~spl6_167 | spl6_169 | spl6_126), 12.14/1.86 inference(avatar_split_clause,[],[f1755,f1413,f1764,f1757])). 12.14/1.86 tff(f1757,plain,( 12.14/1.86 spl6_167 <=> model_ub(sK0,sK1,$sum(c,summation(sK0)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_167])])). 12.14/1.86 tff(f1764,plain,( 12.14/1.86 spl6_169 <=> $less(sK3(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_169])])). 12.14/1.86 tff(f1413,plain,( 12.14/1.86 spl6_126 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(sK0)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_126])])). 12.14/1.86 tff(f1755,plain,( 12.14/1.86 $less(sK3(sK0,sK1,$sum(c,summation(sK0))),$sum(c,summation(sK0))) | ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | spl6_126), 12.14/1.86 inference(resolution,[],[f1414,f54])). 12.14/1.86 tff(f1414,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | spl6_126), 12.14/1.86 inference(avatar_component_clause,[],[f1413])). 12.14/1.86 tff(f1762,plain,( 12.14/1.86 ~spl6_167 | spl6_168 | spl6_126), 12.14/1.86 inference(avatar_split_clause,[],[f1754,f1413,f1760,f1757])). 12.14/1.86 tff(f1760,plain,( 12.14/1.86 spl6_168 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK0))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_168])])). 12.14/1.86 tff(f1754,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK0)))) | ~model_ub(sK0,sK1,$sum(c,summation(sK0))) | spl6_126), 12.14/1.86 inference(resolution,[],[f1414,f53])). 12.14/1.86 tff(f1746,plain,( 12.14/1.86 spl6_166 | ~spl6_165 | ~spl6_24 | ~spl6_36), 12.14/1.86 inference(avatar_split_clause,[],[f1735,f431,f245,f1740,f1744])). 12.14/1.86 tff(f1744,plain,( 12.14/1.86 spl6_166 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])). 12.14/1.86 tff(f1735,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_24 | ~spl6_36)), 12.14/1.86 inference(resolution,[],[f473,f257])). 12.14/1.86 tff(f473,plain,( 12.14/1.86 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~minsol_model_ub(X4,X5,sK5(sK0,sK1,sK2))) ) | ~spl6_36), 12.14/1.86 inference(resolution,[],[f432,f52])). 12.14/1.86 tff(f1742,plain,( 12.14/1.86 spl6_164 | ~spl6_165 | ~spl6_36 | ~spl6_110), 12.14/1.86 inference(avatar_split_clause,[],[f1734,f1283,f431,f1740,f1737])). 12.14/1.86 tff(f1737,plain,( 12.14/1.86 spl6_164 <=> $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_164])])). 12.14/1.86 tff(f1734,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | (~spl6_36 | ~spl6_110)), 12.14/1.86 inference(resolution,[],[f473,f1313])). 12.14/1.86 tff(f1713,plain,( 12.14/1.86 spl6_163 | ~spl6_159 | ~spl6_7 | ~spl6_31), 12.14/1.86 inference(avatar_split_clause,[],[f1683,f318,f96,f1695,f1711])). 12.14/1.86 tff(f1711,plain,( 12.14/1.86 spl6_163 <=> model_max(sK2,$sum(c,summation(sK4(sK0,sK1,sK2))),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_163])])). 12.14/1.86 tff(f318,plain,( 12.14/1.86 spl6_31 <=> sK2 = max(sK2,$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])). 12.14/1.86 tff(f1683,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,$sum(c,summation(sK4(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_31)), 12.14/1.86 inference(superposition,[],[f1309,f319])). 12.14/1.86 tff(f319,plain,( 12.14/1.86 sK2 = max(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_31), 12.14/1.86 inference(avatar_component_clause,[],[f318])). 12.14/1.86 tff(f1709,plain,( 12.14/1.86 spl6_162 | ~spl6_159 | ~spl6_7 | ~spl6_17), 12.14/1.86 inference(avatar_split_clause,[],[f1682,f199,f96,f1695,f1707])). 12.14/1.86 tff(f1707,plain,( 12.14/1.86 spl6_162 <=> model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_162])])). 12.14/1.86 tff(f199,plain,( 12.14/1.86 spl6_17 <=> sK2 = max(sK2,$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 12.14/1.86 tff(f1682,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,$sum(c,summation(max(sK0,sK1))),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_17)), 12.14/1.86 inference(superposition,[],[f1309,f200])). 12.14/1.86 tff(f200,plain,( 12.14/1.86 sK2 = max(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_17), 12.14/1.86 inference(avatar_component_clause,[],[f199])). 12.14/1.86 tff(f1705,plain,( 12.14/1.86 spl6_161 | ~spl6_159 | ~spl6_7 | ~spl6_14), 12.14/1.86 inference(avatar_split_clause,[],[f1681,f163,f96,f1695,f1703])). 12.14/1.86 tff(f1703,plain,( 12.14/1.86 spl6_161 <=> model_max(sK2,sK2,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_161])])). 12.14/1.86 tff(f1681,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(sK2,sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_14)), 12.14/1.86 inference(superposition,[],[f1309,f164])). 12.14/1.86 tff(f1701,plain,( 12.14/1.86 spl6_160 | ~spl6_159 | ~spl6_7 | ~spl6_30), 12.14/1.86 inference(avatar_split_clause,[],[f1680,f314,f96,f1695,f1699])). 12.14/1.86 tff(f1699,plain,( 12.14/1.86 spl6_160 <=> model_max($sum(c,summation(sK4(sK0,sK1,sK2))),sK2,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_160])])). 12.14/1.86 tff(f314,plain,( 12.14/1.86 spl6_30 <=> sK2 = max($sum(c,summation(sK4(sK0,sK1,sK2))),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 12.14/1.86 tff(f1680,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max($sum(c,summation(sK4(sK0,sK1,sK2))),sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_30)), 12.14/1.86 inference(superposition,[],[f1309,f315])). 12.14/1.86 tff(f315,plain,( 12.14/1.86 sK2 = max($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_30), 12.14/1.86 inference(avatar_component_clause,[],[f314])). 12.14/1.86 tff(f1697,plain,( 12.14/1.86 spl6_158 | ~spl6_159 | ~spl6_7 | ~spl6_16), 12.14/1.86 inference(avatar_split_clause,[],[f1679,f195,f96,f1695,f1692])). 12.14/1.86 tff(f1692,plain,( 12.14/1.86 spl6_158 <=> model_max($sum(c,summation(max(sK0,sK1))),sK2,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_158])])). 12.14/1.86 tff(f195,plain,( 12.14/1.86 spl6_16 <=> sK2 = max($sum(c,summation(max(sK0,sK1))),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 12.14/1.86 tff(f1679,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max($sum(c,summation(max(sK0,sK1))),sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_16)), 12.14/1.86 inference(superposition,[],[f1309,f196])). 12.14/1.86 tff(f196,plain,( 12.14/1.86 sK2 = max($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_16), 12.14/1.86 inference(avatar_component_clause,[],[f195])). 12.14/1.86 tff(f1690,plain,( 12.14/1.86 spl6_156 | ~spl6_157 | ~spl6_7 | ~spl6_40), 12.14/1.86 inference(avatar_split_clause,[],[f1678,f501,f96,f1688,f1685])). 12.14/1.86 tff(f1685,plain,( 12.14/1.86 spl6_156 <=> model_max(summation(sK2),summation(sK2),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_156])])). 12.14/1.86 tff(f1688,plain,( 12.14/1.86 spl6_157 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_157])])). 12.14/1.86 tff(f501,plain,( 12.14/1.86 spl6_40 <=> summation(sK2) = max(summation(sK2),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 12.14/1.86 tff(f1678,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(summation(sK2)))) | model_max(summation(sK2),summation(sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_40)), 12.14/1.86 inference(superposition,[],[f1309,f502])). 12.14/1.86 tff(f502,plain,( 12.14/1.86 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_40), 12.14/1.86 inference(avatar_component_clause,[],[f501])). 12.14/1.86 tff(f1673,plain,( 12.14/1.86 spl6_154 | spl6_155 | ~spl6_71), 12.14/1.86 inference(avatar_split_clause,[],[f1665,f895,f1670,f1667])). 12.14/1.86 tff(f1667,plain,( 12.14/1.86 spl6_154 <=> $less($sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_154])])). 12.14/1.86 tff(f1670,plain,( 12.14/1.86 spl6_155 <=> sK5(sK0,sK1,sK2) = $sum(c,summation(max(sK0,sK1)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_155])])). 12.14/1.86 tff(f895,plain,( 12.14/1.86 spl6_71 <=> sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_71])])). 12.14/1.86 tff(f1665,plain,( 12.14/1.86 sK5(sK0,sK1,sK2) = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2)) | ~spl6_71), 12.14/1.86 inference(superposition,[],[f48,f896])). 12.14/1.86 tff(f896,plain,( 12.14/1.86 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_71), 12.14/1.86 inference(avatar_component_clause,[],[f895])). 12.14/1.86 tff(f1672,plain,( 12.14/1.86 spl6_154 | spl6_155 | ~spl6_71), 12.14/1.86 inference(avatar_split_clause,[],[f1662,f895,f1670,f1667])). 12.14/1.86 tff(f1662,plain,( 12.14/1.86 sK5(sK0,sK1,sK2) = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2)) | ~spl6_71), 12.14/1.86 inference(superposition,[],[f896,f48])). 12.14/1.86 tff(f1659,plain,( 12.14/1.86 ~spl6_151 | spl6_153 | spl6_125), 12.14/1.86 inference(avatar_split_clause,[],[f1648,f1402,f1657,f1650])). 12.14/1.86 tff(f1657,plain,( 12.14/1.86 spl6_153 <=> $less(sK3(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_153])])). 12.14/1.86 tff(f1402,plain,( 12.14/1.86 spl6_125 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(sK1)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_125])])). 12.14/1.86 tff(f1648,plain,( 12.14/1.86 $less(sK3(sK0,sK1,$sum(c,summation(sK1))),$sum(c,summation(sK1))) | ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | spl6_125), 12.14/1.86 inference(resolution,[],[f1403,f54])). 12.14/1.86 tff(f1403,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | spl6_125), 12.14/1.86 inference(avatar_component_clause,[],[f1402])). 12.14/1.86 tff(f1655,plain,( 12.14/1.86 ~spl6_151 | spl6_152 | spl6_125), 12.14/1.86 inference(avatar_split_clause,[],[f1647,f1402,f1653,f1650])). 12.14/1.86 tff(f1653,plain,( 12.14/1.86 spl6_152 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_152])])). 12.14/1.86 tff(f1647,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(sK1)))) | ~model_ub(sK0,sK1,$sum(c,summation(sK1))) | spl6_125), 12.14/1.86 inference(resolution,[],[f1403,f53])). 12.14/1.86 tff(f1631,plain,( 12.14/1.86 spl6_116 | spl6_120 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1327,f1287,f1347,f1332])). 12.14/1.86 tff(f1332,plain,( 12.14/1.86 spl6_116 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_116])])). 12.14/1.86 tff(f1347,plain,( 12.14/1.86 spl6_120 <=> minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_120])])). 12.14/1.86 tff(f1287,plain,( 12.14/1.86 spl6_111 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_111])])). 12.14/1.86 tff(f1327,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_111), 12.14/1.86 inference(resolution,[],[f1288,f54])). 12.14/1.86 tff(f1288,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_111), 12.14/1.86 inference(avatar_component_clause,[],[f1287])). 12.14/1.86 tff(f1630,plain,( 12.14/1.86 spl6_116 | spl6_120 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1600,f1287,f1347,f1332])). 12.14/1.86 tff(f1600,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_111), 12.14/1.86 inference(resolution,[],[f1288,f54])). 12.14/1.86 tff(f1629,plain,( 12.14/1.86 spl6_150 | ~spl6_7 | ~spl6_120), 12.14/1.86 inference(avatar_split_clause,[],[f1623,f1347,f96,f1627])). 12.14/1.86 tff(f1627,plain,( 12.14/1.86 spl6_150 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_150])])). 12.14/1.86 tff(f1623,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_7 | ~spl6_120)), 12.14/1.86 inference(resolution,[],[f1308,f1348])). 12.14/1.86 tff(f1348,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_120), 12.14/1.86 inference(avatar_component_clause,[],[f1347])). 12.14/1.86 tff(f1308,plain,( 12.14/1.86 ( ! [X6:$int] : (~minsol_model_ub(sK0,sK1,X6) | sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),X6)) ) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f1268,f47])). 12.14/1.86 tff(f1608,plain,( 12.14/1.86 spl6_149 | ~spl6_7 | ~spl6_120), 12.14/1.86 inference(avatar_split_clause,[],[f1601,f1347,f96,f1606])). 12.14/1.86 tff(f1606,plain,( 12.14/1.86 spl6_149 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_149])])). 12.14/1.86 tff(f1601,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_120)), 12.14/1.86 inference(resolution,[],[f1348,f1307])). 12.14/1.86 tff(f1307,plain,( 12.14/1.86 ( ! [X5:$int] : (~minsol_model_ub(sK0,sK1,X5) | sK3(sK0,sK1,sK2) = max(X5,sK3(sK0,sK1,sK2))) ) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f1268,f48])). 12.14/1.86 tff(f1594,plain,( 12.14/1.86 spl6_148 | ~spl6_92), 12.14/1.86 inference(avatar_split_clause,[],[f1590,f1105,f1592])). 12.14/1.86 tff(f1592,plain,( 12.14/1.86 spl6_148 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_148])])). 12.14/1.86 tff(f1105,plain,( 12.14/1.86 spl6_92 <=> $less(summation(sK5(sK0,sK1,sK2)),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 12.14/1.86 tff(f1590,plain,( 12.14/1.86 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(sK2)) | ~spl6_92), 12.14/1.86 inference(resolution,[],[f1106,f50])). 12.14/1.86 tff(f1106,plain,( 12.14/1.86 $less(summation(sK5(sK0,sK1,sK2)),sK2) | ~spl6_92), 12.14/1.86 inference(avatar_component_clause,[],[f1105])). 12.14/1.86 tff(f1585,plain,( 12.14/1.86 spl6_147 | ~spl6_7 | ~spl6_112), 12.14/1.86 inference(avatar_split_clause,[],[f1579,f1290,f96,f1583])). 12.14/1.86 tff(f1583,plain,( 12.14/1.86 spl6_147 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_147])])). 12.14/1.86 tff(f1290,plain,( 12.14/1.86 spl6_112 <=> minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 12.14/1.86 tff(f1579,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_112)), 12.14/1.86 inference(resolution,[],[f1307,f1291])). 12.14/1.86 tff(f1291,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_112), 12.14/1.86 inference(avatar_component_clause,[],[f1290])). 12.14/1.86 tff(f1578,plain,( 12.14/1.86 spl6_142 | spl6_146 | ~spl6_119), 12.14/1.86 inference(avatar_split_clause,[],[f1555,f1344,f1575,f1560])). 12.14/1.86 tff(f1560,plain,( 12.14/1.86 spl6_142 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_142])])). 12.14/1.86 tff(f1575,plain,( 12.14/1.86 spl6_146 <=> minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_146])])). 12.14/1.86 tff(f1344,plain,( 12.14/1.86 spl6_119 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_119])])). 12.14/1.86 tff(f1555,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_119), 12.14/1.86 inference(resolution,[],[f1345,f54])). 12.14/1.86 tff(f1345,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_119), 12.14/1.86 inference(avatar_component_clause,[],[f1344])). 12.14/1.86 tff(f1577,plain,( 12.14/1.86 spl6_145 | spl6_146 | ~spl6_119), 12.14/1.86 inference(avatar_split_clause,[],[f1554,f1344,f1575,f1572])). 12.14/1.86 tff(f1572,plain,( 12.14/1.86 spl6_145 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_145])])). 12.14/1.86 tff(f1554,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))) | ~spl6_119), 12.14/1.86 inference(resolution,[],[f1345,f53])). 12.14/1.86 tff(f1570,plain,( 12.14/1.86 spl6_144 | ~spl6_119), 12.14/1.86 inference(avatar_split_clause,[],[f1552,f1344,f1568])). 12.14/1.86 tff(f1568,plain,( 12.14/1.86 spl6_144 <=> ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_144])])). 12.14/1.86 tff(f1552,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))) | ~spl6_119), 12.14/1.86 inference(resolution,[],[f1345,f58])). 12.14/1.86 tff(f58,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,sK4(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f37])). 12.14/1.86 tff(f1566,plain,( 12.14/1.86 ~spl6_143 | ~spl6_119), 12.14/1.86 inference(avatar_split_clause,[],[f1551,f1344,f1564])). 12.14/1.86 tff(f1564,plain,( 12.14/1.86 spl6_143 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_143])])). 12.14/1.86 tff(f1551,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))))) | ~spl6_119), 12.14/1.86 inference(resolution,[],[f1345,f57])). 12.14/1.86 tff(f57,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,summation(sK4(X0,X1,X2)))) | ~model_ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f37])). 12.14/1.86 tff(f1562,plain,( 12.14/1.86 ~spl6_141 | spl6_142 | ~spl6_6 | ~spl6_119), 12.14/1.86 inference(avatar_split_clause,[],[f1550,f1344,f93,f1560,f1557])). 12.14/1.86 tff(f1557,plain,( 12.14/1.86 spl6_141 <=> $less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_141])])). 12.14/1.86 tff(f93,plain,( 12.14/1.86 spl6_6 <=> model_ub(sK0,sK1,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 12.14/1.86 tff(f1550,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_6 | ~spl6_119)), 12.14/1.86 inference(resolution,[],[f1345,f254])). 12.14/1.86 tff(f254,plain,( 12.14/1.86 ( ! [X1:$int] : (~model_ub(sK0,sK1,X1) | $less(sK3(sK0,sK1,X1),X1) | ~$less(sK2,X1)) ) | ~spl6_6), 12.14/1.86 inference(resolution,[],[f237,f54])). 12.14/1.86 tff(f237,plain,( 12.14/1.86 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_6), 12.14/1.86 inference(resolution,[],[f229,f52])). 12.14/1.86 tff(f229,plain,( 12.14/1.86 model_ub(sK0,sK1,sK2) | ~spl6_6), 12.14/1.86 inference(avatar_component_clause,[],[f93])). 12.14/1.86 tff(f1538,plain,( 12.14/1.86 ~spl6_140 | ~spl6_118), 12.14/1.86 inference(avatar_split_clause,[],[f1529,f1340,f1536])). 12.14/1.86 tff(f1536,plain,( 12.14/1.86 spl6_140 <=> $less(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_140])])). 12.14/1.86 tff(f1340,plain,( 12.14/1.86 spl6_118 <=> ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])). 12.14/1.86 tff(f1529,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK1) | ~spl6_118), 12.14/1.86 inference(resolution,[],[f1341,f62])). 12.14/1.86 tff(f62,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f39])). 12.14/1.86 tff(f39,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (((~$less(X2,X1) & ~$less(X2,X0)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | $less(X2,X1) | $less(X2,X0)))), 12.14/1.86 inference(flattening,[],[f38])). 12.14/1.86 tff(f38,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (((~$less(X2,X1) & ~$less(X2,X0)) | ~ub(X0,X1,X2)) & (ub(X0,X1,X2) | ($less(X2,X1) | $less(X2,X0))))), 12.14/1.86 inference(nnf_transformation,[],[f20])). 12.14/1.86 tff(f20,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,X1) & ~$less(X2,X0)) <=> ub(X0,X1,X2))), 12.14/1.86 inference(rectify,[],[f17])). 12.14/1.86 tff(f17,plain,( 12.14/1.86 ! [X0 : $int,X1 : $int,X3 : $int] : ((~$less(X3,X1) & ~$less(X3,X0)) <=> ub(X0,X1,X3))), 12.14/1.86 inference(theory_normalization,[],[f9])). 12.14/1.86 tff(f9,axiom,( 12.14/1.86 ! [X0 : $int,X1 : $int,X3 : $int] : (($lesseq(X1,X3) & $lesseq(X0,X3)) <=> ub(X0,X1,X3))), 12.14/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 12.14/1.86 tff(f1341,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_118), 12.14/1.86 inference(avatar_component_clause,[],[f1340])). 12.14/1.86 tff(f1534,plain,( 12.14/1.86 ~spl6_139 | ~spl6_118), 12.14/1.86 inference(avatar_split_clause,[],[f1528,f1340,f1532])). 12.14/1.86 tff(f1532,plain,( 12.14/1.86 spl6_139 <=> $less(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_139])])). 12.14/1.86 tff(f1528,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK0) | ~spl6_118), 12.14/1.86 inference(resolution,[],[f1341,f61])). 12.14/1.86 tff(f61,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 12.14/1.86 inference(cnf_transformation,[],[f39])). 12.14/1.86 tff(f1499,plain,( 12.14/1.86 spl6_138 | spl6_107), 12.14/1.86 inference(avatar_split_clause,[],[f1487,f1272,f1497])). 12.14/1.86 tff(f1497,plain,( 12.14/1.86 spl6_138 <=> sK2 = max(sK2,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_138])])). 12.14/1.86 tff(f1272,plain,( 12.14/1.86 spl6_107 <=> $less(sK2,sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_107])])). 12.14/1.86 tff(f1487,plain,( 12.14/1.86 sK2 = max(sK2,sK3(sK0,sK1,sK2)) | spl6_107), 12.14/1.86 inference(resolution,[],[f1273,f47])). 12.14/1.86 tff(f1273,plain,( 12.14/1.86 ~$less(sK2,sK3(sK0,sK1,sK2)) | spl6_107), 12.14/1.86 inference(avatar_component_clause,[],[f1272])). 12.14/1.86 tff(f1495,plain,( 12.14/1.86 spl6_137 | spl6_107), 12.14/1.86 inference(avatar_split_clause,[],[f1486,f1272,f1493])). 12.14/1.86 tff(f1493,plain,( 12.14/1.86 spl6_137 <=> sK2 = max(sK3(sK0,sK1,sK2),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_137])])). 12.14/1.86 tff(f1486,plain,( 12.14/1.86 sK2 = max(sK3(sK0,sK1,sK2),sK2) | spl6_107), 12.14/1.86 inference(resolution,[],[f1273,f48])). 12.14/1.86 tff(f1491,plain,( 12.14/1.86 ~spl6_136 | spl6_107), 12.14/1.86 inference(avatar_split_clause,[],[f1485,f1272,f1489])). 12.14/1.86 tff(f1489,plain,( 12.14/1.86 spl6_136 <=> $less(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_136])])). 12.14/1.86 tff(f1485,plain,( 12.14/1.86 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | spl6_107), 12.14/1.86 inference(resolution,[],[f1273,f49])). 12.14/1.86 tff(f1464,plain,( 12.14/1.86 ~spl6_133 | spl6_135 | spl6_121), 12.14/1.86 inference(avatar_split_clause,[],[f1451,f1362,f1462,f1455])). 12.14/1.86 tff(f1462,plain,( 12.14/1.86 spl6_135 <=> $less(sK3(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_135])])). 12.14/1.86 tff(f1362,plain,( 12.14/1.86 spl6_121 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_121])])). 12.14/1.86 tff(f1451,plain,( 12.14/1.86 $less(sK3(sK0,sK1,$sum(c,summation(max(sK0,sK1)))),$sum(c,summation(max(sK0,sK1)))) | ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | spl6_121), 12.14/1.86 inference(resolution,[],[f1363,f54])). 12.14/1.86 tff(f1363,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | spl6_121), 12.14/1.86 inference(avatar_component_clause,[],[f1362])). 12.14/1.86 tff(f1460,plain,( 12.14/1.86 ~spl6_133 | spl6_134 | spl6_121), 12.14/1.86 inference(avatar_split_clause,[],[f1450,f1362,f1458,f1455])). 12.14/1.86 tff(f1458,plain,( 12.14/1.86 spl6_134 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(max(sK0,sK1)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_134])])). 12.14/1.86 tff(f1450,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,summation(max(sK0,sK1))))) | ~model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | spl6_121), 12.14/1.86 inference(resolution,[],[f1363,f53])). 12.14/1.86 tff(f1449,plain,( 12.14/1.86 spl6_132 | spl6_114), 12.14/1.86 inference(avatar_split_clause,[],[f1437,f1319,f1447])). 12.14/1.86 tff(f1447,plain,( 12.14/1.86 spl6_132 <=> sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_132])])). 12.14/1.86 tff(f1319,plain,( 12.14/1.86 spl6_114 <=> $less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])). 12.14/1.86 tff(f1437,plain,( 12.14/1.86 sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | spl6_114), 12.14/1.86 inference(resolution,[],[f1320,f47])). 12.14/1.86 tff(f1320,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | spl6_114), 12.14/1.86 inference(avatar_component_clause,[],[f1319])). 12.14/1.86 tff(f1445,plain,( 12.14/1.86 spl6_131 | spl6_114), 12.14/1.86 inference(avatar_split_clause,[],[f1436,f1319,f1443])). 12.14/1.86 tff(f1443,plain,( 12.14/1.86 spl6_131 <=> sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_131])])). 12.14/1.86 tff(f1436,plain,( 12.14/1.86 sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_114), 12.14/1.86 inference(resolution,[],[f1320,f48])). 12.14/1.86 tff(f1441,plain,( 12.14/1.86 ~spl6_130 | spl6_114), 12.14/1.86 inference(avatar_split_clause,[],[f1435,f1319,f1439])). 12.14/1.86 tff(f1439,plain,( 12.14/1.86 spl6_130 <=> $less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK1))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_130])])). 12.14/1.86 tff(f1435,plain,( 12.14/1.86 ~$less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK1)) | spl6_114), 12.14/1.86 inference(resolution,[],[f1320,f49])). 12.14/1.86 tff(f1432,plain,( 12.14/1.86 spl6_129 | spl6_113), 12.14/1.86 inference(avatar_split_clause,[],[f1420,f1315,f1430])). 12.14/1.86 tff(f1430,plain,( 12.14/1.86 spl6_129 <=> sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_129])])). 12.14/1.86 tff(f1315,plain,( 12.14/1.86 spl6_113 <=> $less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_113])])). 12.14/1.86 tff(f1420,plain,( 12.14/1.86 sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | spl6_113), 12.14/1.86 inference(resolution,[],[f1316,f47])). 12.14/1.86 tff(f1316,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | spl6_113), 12.14/1.86 inference(avatar_component_clause,[],[f1315])). 12.14/1.86 tff(f1428,plain,( 12.14/1.86 spl6_128 | spl6_113), 12.14/1.86 inference(avatar_split_clause,[],[f1419,f1315,f1426])). 12.14/1.86 tff(f1426,plain,( 12.14/1.86 spl6_128 <=> sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK0,sK4(sK0,sK1,sK3(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_128])])). 12.14/1.86 tff(f1419,plain,( 12.14/1.86 sK4(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK0,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_113), 12.14/1.86 inference(resolution,[],[f1316,f48])). 12.14/1.86 tff(f1424,plain,( 12.14/1.86 ~spl6_127 | spl6_113), 12.14/1.86 inference(avatar_split_clause,[],[f1418,f1315,f1422])). 12.14/1.86 tff(f1422,plain,( 12.14/1.86 spl6_127 <=> $less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK0))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_127])])). 12.14/1.86 tff(f1418,plain,( 12.14/1.86 ~$less(summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK0)) | spl6_113), 12.14/1.86 inference(resolution,[],[f1316,f49])). 12.14/1.86 tff(f1415,plain,( 12.14/1.86 ~spl6_126 | ~spl6_8 | ~spl6_7 | ~spl6_64), 12.14/1.86 inference(avatar_split_clause,[],[f1411,f791,f96,f100,f1413])). 12.14/1.86 tff(f791,plain,( 12.14/1.86 spl6_64 <=> ! [X1 : $int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 12.14/1.86 tff(f1411,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK2),sK2) | ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK0))) | (~spl6_7 | ~spl6_64)), 12.14/1.86 inference(resolution,[],[f792,f1268])). 12.14/1.86 tff(f792,plain,( 12.14/1.86 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2)) ) | ~spl6_64), 12.14/1.86 inference(avatar_component_clause,[],[f791])). 12.14/1.86 tff(f1404,plain,( 12.14/1.86 ~spl6_125 | ~spl6_8 | ~spl6_7 | ~spl6_33), 12.14/1.86 inference(avatar_split_clause,[],[f1400,f404,f96,f100,f1402])). 12.14/1.86 tff(f1400,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK2),sK2) | ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK1))) | (~spl6_7 | ~spl6_33)), 12.14/1.86 inference(resolution,[],[f405,f1268])). 12.14/1.86 tff(f1393,plain,( 12.14/1.86 spl6_124 | spl6_109), 12.14/1.86 inference(avatar_split_clause,[],[f1381,f1279,f1391])). 12.14/1.86 tff(f1391,plain,( 12.14/1.86 spl6_124 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_124])])). 12.14/1.86 tff(f1279,plain,( 12.14/1.86 spl6_109 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_109])])). 12.14/1.86 tff(f1381,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | spl6_109), 12.14/1.86 inference(resolution,[],[f1280,f47])). 12.14/1.86 tff(f1280,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | spl6_109), 12.14/1.86 inference(avatar_component_clause,[],[f1279])). 12.14/1.86 tff(f1389,plain,( 12.14/1.86 spl6_123 | spl6_109), 12.14/1.86 inference(avatar_split_clause,[],[f1380,f1279,f1387])). 12.14/1.86 tff(f1380,plain,( 12.14/1.86 sK3(sK0,sK1,sK2) = max($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))),sK3(sK0,sK1,sK2)) | spl6_109), 12.14/1.86 inference(resolution,[],[f1280,f48])). 12.14/1.86 tff(f1385,plain,( 12.14/1.86 ~spl6_122 | spl6_109), 12.14/1.86 inference(avatar_split_clause,[],[f1379,f1279,f1383])). 12.14/1.86 tff(f1379,plain,( 12.14/1.86 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_109), 12.14/1.86 inference(resolution,[],[f1280,f49])). 12.14/1.86 tff(f1375,plain,( 12.14/1.86 spl6_18 | spl6_62 | spl6_105), 12.14/1.86 inference(avatar_split_clause,[],[f1374,f1257,f783,f203])). 12.14/1.86 tff(f783,plain,( 12.14/1.86 spl6_62 <=> $less(sK1,sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 12.14/1.86 tff(f1257,plain,( 12.14/1.86 spl6_105 <=> ub(sK0,sK1,sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_105])])). 12.14/1.86 tff(f1374,plain,( 12.14/1.86 $less(sK1,sK1) | $less(sK1,sK0) | spl6_105), 12.14/1.86 inference(resolution,[],[f1258,f60])). 12.14/1.86 tff(f60,plain,( 12.14/1.86 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,X2) | $less(X2,X1) | $less(X2,X0)) )), 12.14/1.86 inference(cnf_transformation,[],[f39])). 12.14/1.86 tff(f1258,plain,( 12.14/1.86 ~ub(sK0,sK1,sK1) | spl6_105), 12.14/1.86 inference(avatar_component_clause,[],[f1257])). 12.14/1.86 tff(f1365,plain,( 12.14/1.86 ~spl6_121 | ~spl6_8 | ~spl6_1 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1358,f96,f68,f100,f1362])). 12.14/1.86 tff(f68,plain,( 12.14/1.86 spl6_1 <=> minsol_model_max(sK0,sK1,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 12.14/1.86 tff(f1358,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK2),sK2) | ~minsol_model_ub(sK0,sK1,$sum(c,summation(max(sK0,sK1)))) | (~spl6_1 | ~spl6_7)), 12.14/1.86 inference(resolution,[],[f147,f1268])). 12.14/1.86 tff(f147,plain,( 12.14/1.86 ( ! [X1:$int] : ($less(X1,$sum(c,summation(max(sK0,sK1)))) | ~$less(X1,sK2)) ) | ~spl6_1), 12.14/1.86 inference(resolution,[],[f103,f56])). 12.14/1.86 tff(f103,plain,( 12.14/1.86 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_1), 12.14/1.86 inference(resolution,[],[f74,f65])). 12.14/1.86 tff(f74,plain,( 12.14/1.86 minsol_model_max(sK0,sK1,sK2) | ~spl6_1), 12.14/1.86 inference(avatar_component_clause,[],[f68])). 12.14/1.86 tff(f1350,plain,( 12.14/1.86 spl6_116 | spl6_120 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1327,f1287,f1347,f1332])). 12.14/1.86 tff(f1349,plain,( 12.14/1.86 spl6_119 | spl6_120 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1326,f1287,f1347,f1344])). 12.14/1.86 tff(f1326,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_111), 12.14/1.86 inference(resolution,[],[f1288,f53])). 12.14/1.86 tff(f1342,plain,( 12.14/1.86 spl6_118 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1324,f1287,f1340])). 12.14/1.86 tff(f1324,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_111), 12.14/1.86 inference(resolution,[],[f1288,f58])). 12.14/1.86 tff(f1338,plain,( 12.14/1.86 ~spl6_117 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1323,f1287,f1336])). 12.14/1.86 tff(f1323,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))))) | ~spl6_111), 12.14/1.86 inference(resolution,[],[f1288,f57])). 12.14/1.86 tff(f1334,plain,( 12.14/1.86 ~spl6_115 | spl6_116 | ~spl6_6 | ~spl6_111), 12.14/1.86 inference(avatar_split_clause,[],[f1322,f1287,f93,f1332,f1329])). 12.14/1.86 tff(f1322,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~$less(sK2,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_6 | ~spl6_111)), 12.14/1.86 inference(resolution,[],[f1288,f254])). 12.14/1.86 tff(f1321,plain,( 12.14/1.86 ~spl6_114 | ~spl6_110), 12.14/1.86 inference(avatar_split_clause,[],[f1312,f1283,f1319])). 12.14/1.86 tff(f1312,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | ~spl6_110), 12.14/1.86 inference(resolution,[],[f1284,f62])). 12.14/1.86 tff(f1317,plain,( 12.14/1.86 ~spl6_113 | ~spl6_110), 12.14/1.86 inference(avatar_split_clause,[],[f1311,f1283,f1315])). 12.14/1.86 tff(f1311,plain,( 12.14/1.86 ~$less(sK4(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | ~spl6_110), 12.14/1.86 inference(resolution,[],[f1284,f61])). 12.14/1.86 tff(f1293,plain,( 12.14/1.86 spl6_108 | spl6_112 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1270,f96,f1290,f1275])). 12.14/1.86 tff(f1275,plain,( 12.14/1.86 spl6_108 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 12.14/1.86 tff(f1270,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f97,f54])). 12.14/1.86 tff(f1292,plain,( 12.14/1.86 spl6_111 | spl6_112 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1269,f96,f1290,f1287])). 12.14/1.86 tff(f1269,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f97,f53])). 12.14/1.86 tff(f1285,plain,( 12.14/1.86 spl6_110 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1267,f96,f1283])). 12.14/1.86 tff(f1267,plain,( 12.14/1.86 ub(sK0,sK1,sK4(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f97,f58])). 12.14/1.86 tff(f1281,plain,( 12.14/1.86 ~spl6_109 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1266,f96,f1279])). 12.14/1.86 tff(f1266,plain,( 12.14/1.86 ~$less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK3(sK0,sK1,sK2))))) | ~spl6_7), 12.14/1.86 inference(resolution,[],[f97,f57])). 12.14/1.86 tff(f1277,plain,( 12.14/1.86 ~spl6_107 | spl6_108 | ~spl6_6 | ~spl6_7), 12.14/1.86 inference(avatar_split_clause,[],[f1264,f96,f93,f1275,f1272])). 12.14/1.86 tff(f1264,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~$less(sK2,sK3(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_7)), 12.14/1.86 inference(resolution,[],[f97,f254])). 12.14/1.86 tff(f1263,plain,( 12.14/1.86 spl6_20 | ~spl6_106 | spl6_96), 12.14/1.86 inference(avatar_split_clause,[],[f1254,f1147,f1261,f210])). 12.14/1.86 tff(f1261,plain,( 12.14/1.86 spl6_106 <=> ub(sK0,sK1,sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 12.14/1.86 tff(f1147,plain,( 12.14/1.86 spl6_96 <=> ub(sK0,sK1,max(sK0,sK1))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 12.14/1.86 tff(f1254,plain,( 12.14/1.86 ~ub(sK0,sK1,sK0) | $less(sK0,sK1) | spl6_96), 12.14/1.86 inference(superposition,[],[f1148,f47])). 12.14/1.86 tff(f1148,plain,( 12.14/1.86 ~ub(sK0,sK1,max(sK0,sK1)) | spl6_96), 12.14/1.86 inference(avatar_component_clause,[],[f1147])). 12.14/1.86 tff(f1259,plain,( 12.14/1.86 spl6_18 | ~spl6_105 | spl6_96), 12.14/1.86 inference(avatar_split_clause,[],[f1253,f1147,f1257,f203])). 12.14/1.86 tff(f1253,plain,( 12.14/1.86 ~ub(sK0,sK1,sK1) | $less(sK1,sK0) | spl6_96), 12.14/1.86 inference(superposition,[],[f1148,f48])). 12.14/1.86 tff(f1255,plain,( 12.14/1.86 spl6_60 | spl6_61 | spl6_96), 12.14/1.86 inference(avatar_split_clause,[],[f1252,f1147,f779,f776])). 12.14/1.86 tff(f776,plain,( 12.14/1.86 spl6_60 <=> $less(max(sK0,sK1),sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 12.14/1.86 tff(f779,plain,( 12.14/1.86 spl6_61 <=> $less(max(sK0,sK1),sK1)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_61])])). 12.14/1.86 tff(f1252,plain,( 12.14/1.86 $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | spl6_96), 12.14/1.86 inference(resolution,[],[f1148,f60])). 12.14/1.86 tff(f1251,plain,( 12.14/1.86 spl6_37 | ~spl6_1 | ~spl6_5), 12.14/1.86 inference(avatar_split_clause,[],[f1243,f87,f68,f435])). 12.14/1.86 tff(f435,plain,( 12.14/1.86 spl6_37 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 12.14/1.86 tff(f1243,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_1 | ~spl6_5)), 12.14/1.86 inference(resolution,[],[f74,f381])). 12.14/1.86 tff(f381,plain,( 12.14/1.86 ( ! [X2:$int,X3:$int] : (~minsol_model_max(X2,X3,sK2) | $less(sK5(sK0,sK1,sK2),$sum(c,summation(max(X2,X3))))) ) | ~spl6_5), 12.14/1.86 inference(resolution,[],[f127,f56])). 12.14/1.86 tff(f1249,plain,( 12.14/1.86 spl6_104 | ~spl6_1 | ~spl6_8), 12.14/1.86 inference(avatar_split_clause,[],[f1242,f100,f68,f1247])). 12.14/1.86 tff(f1242,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | (~spl6_1 | ~spl6_8)), 12.14/1.86 inference(resolution,[],[f74,f385])). 12.14/1.86 tff(f385,plain,( 12.14/1.86 ( ! [X2:$int,X3:$int] : (~minsol_model_max(X2,X3,sK2) | $less(sK3(sK0,sK1,sK2),$sum(c,summation(max(X2,X3))))) ) | ~spl6_8), 12.14/1.86 inference(resolution,[],[f136,f56])). 12.14/1.86 tff(f1237,plain,( 12.14/1.86 spl6_3 | ~spl6_35), 12.14/1.86 inference(avatar_split_clause,[],[f840,f427,f80])). 12.14/1.86 tff(f840,plain,( 12.14/1.86 model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_35), 12.14/1.86 inference(resolution,[],[f428,f66])). 12.14/1.86 tff(f428,plain,( 12.14/1.86 minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_35), 12.14/1.86 inference(avatar_component_clause,[],[f427])). 12.14/1.86 tff(f1236,plain,( 12.14/1.86 spl6_7 | spl6_2 | ~spl6_6), 12.14/1.86 inference(avatar_split_clause,[],[f812,f93,f71,f96])). 12.14/1.86 tff(f71,plain,( 12.14/1.86 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 12.14/1.86 tff(f812,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 12.14/1.86 inference(resolution,[],[f229,f53])). 12.14/1.86 tff(f1235,plain,( 12.14/1.86 ~spl6_1 | ~spl6_5 | ~spl6_35), 12.14/1.86 inference(avatar_split_clause,[],[f838,f427,f87,f68])). 12.14/1.86 tff(f838,plain,( 12.14/1.86 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_5 | ~spl6_35)), 12.14/1.86 inference(resolution,[],[f428,f380])). 12.14/1.86 tff(f380,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK5(sK0,sK1,sK2)) | ~minsol_model_max(X0,X1,sK2)) ) | ~spl6_5), 12.14/1.86 inference(resolution,[],[f127,f66])). 12.14/1.86 tff(f1233,plain,( 12.14/1.86 spl6_103 | ~spl6_5 | ~spl6_2 | ~spl6_3), 12.14/1.86 inference(avatar_split_clause,[],[f1226,f80,f71,f87,f1231])). 12.14/1.86 tff(f1231,plain,( 12.14/1.86 spl6_103 <=> ! [X22 : $int] : ($less(X22,sK1) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22))) | $less(X22,sK0))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_103])])). 12.14/1.86 tff(f1226,plain,( 12.14/1.86 ( ! [X22:$int] : (~$less(sK5(sK0,sK1,sK2),sK2) | $less(X22,sK1) | $less(X22,sK0) | ~minsol_model_max(sK0,sK1,$sum(c,summation(X22)))) ) | (~spl6_2 | ~spl6_3)), 12.14/1.86 inference(resolution,[],[f481,f421])). 12.14/1.86 tff(f421,plain,( 12.14/1.86 ( ! [X0:$int] : (~$less(sK5(sK0,sK1,sK2),X0) | ~minsol_model_max(sK0,sK1,X0)) ) | ~spl6_3), 12.14/1.86 inference(resolution,[],[f81,f65])). 12.14/1.86 tff(f81,plain,( 12.14/1.86 model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_3), 12.14/1.86 inference(avatar_component_clause,[],[f80])). 12.14/1.86 tff(f481,plain,( 12.14/1.86 ( ! [X4:$int,X3:$int] : ($less(X3,$sum(c,summation(X4))) | ~$less(X3,sK2) | $less(X4,sK1) | $less(X4,sK0)) ) | ~spl6_2), 12.14/1.86 inference(resolution,[],[f250,f60])). 12.14/1.86 tff(f250,plain,( 12.14/1.86 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | ~$less(X1,sK2) | $less(X1,$sum(c,summation(X2)))) ) | ~spl6_2), 12.14/1.86 inference(resolution,[],[f228,f59])). 12.14/1.86 tff(f228,plain,( 12.14/1.86 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 12.14/1.86 inference(resolution,[],[f75,f52])). 12.14/1.86 tff(f75,plain,( 12.14/1.86 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 12.14/1.86 inference(avatar_component_clause,[],[f71])). 12.14/1.86 tff(f1229,plain,( 12.14/1.86 spl6_63 | spl6_20 | ~spl6_5 | ~spl6_2 | spl6_73), 12.14/1.86 inference(avatar_split_clause,[],[f1225,f903,f71,f87,f210,f787])). 12.14/1.86 tff(f787,plain,( 12.14/1.86 spl6_63 <=> $less(sK0,sK0)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_63])])). 12.14/1.86 tff(f903,plain,( 12.14/1.86 spl6_73 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK0)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])). 12.14/1.86 tff(f1225,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),sK2) | $less(sK0,sK1) | $less(sK0,sK0) | (~spl6_2 | spl6_73)), 12.14/1.86 inference(resolution,[],[f481,f904])). 12.14/1.86 tff(f904,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK0))) | spl6_73), 12.14/1.86 inference(avatar_component_clause,[],[f903])). 12.14/1.86 tff(f1228,plain,( 12.14/1.86 spl6_18 | spl6_62 | ~spl6_5 | ~spl6_2 | spl6_72), 12.14/1.86 inference(avatar_split_clause,[],[f1224,f899,f71,f87,f783,f203])). 12.14/1.86 tff(f1224,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),sK2) | $less(sK1,sK1) | $less(sK1,sK0) | (~spl6_2 | spl6_72)), 12.14/1.86 inference(resolution,[],[f481,f900])). 12.14/1.86 tff(f900,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1))) | spl6_72), 12.14/1.86 inference(avatar_component_clause,[],[f899])). 12.14/1.86 tff(f1227,plain,( 12.14/1.86 spl6_60 | spl6_61 | ~spl6_5 | ~spl6_2 | spl6_37), 12.14/1.86 inference(avatar_split_clause,[],[f1223,f435,f71,f87,f779,f776])). 12.14/1.86 tff(f1223,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),sK2) | $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (~spl6_2 | spl6_37)), 12.14/1.86 inference(resolution,[],[f481,f436])). 12.14/1.86 tff(f436,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | spl6_37), 12.14/1.86 inference(avatar_component_clause,[],[f435])). 12.14/1.86 tff(f1207,plain,( 12.14/1.86 spl6_102 | ~spl6_38), 12.14/1.86 inference(avatar_split_clause,[],[f1203,f476,f1205])). 12.14/1.86 tff(f1205,plain,( 12.14/1.86 spl6_102 <=> $less(summation(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK5(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 12.14/1.86 tff(f476,plain,( 12.14/1.86 spl6_38 <=> $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 12.14/1.86 tff(f1203,plain,( 12.14/1.86 $less(summation(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2)))),summation(summation(sK5(sK0,sK1,sK2)))) | ~spl6_38), 12.14/1.86 inference(resolution,[],[f477,f50])). 12.14/1.86 tff(f477,plain,( 12.14/1.86 $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2))) | ~spl6_38), 12.14/1.86 inference(avatar_component_clause,[],[f476])). 12.14/1.86 tff(f1183,plain,( 12.14/1.86 ~spl6_2 | spl6_90 | ~spl6_8 | ~spl6_24), 12.14/1.86 inference(avatar_split_clause,[],[f1056,f245,f100,f1062,f71])). 12.14/1.86 tff(f1062,plain,( 12.14/1.86 spl6_90 <=> $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 12.14/1.86 tff(f1056,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_8 | ~spl6_24)), 12.14/1.86 inference(resolution,[],[f257,f139])). 12.14/1.86 tff(f139,plain,( 12.14/1.86 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK3(sK0,sK1,sK2)) | ~minsol_model_ub(X4,X5,sK2)) ) | ~spl6_8), 12.14/1.86 inference(resolution,[],[f101,f52])). 12.14/1.86 tff(f1182,plain,( 12.14/1.86 spl6_90 | ~spl6_2 | ~spl6_8 | ~spl6_24), 12.14/1.86 inference(avatar_split_clause,[],[f1089,f245,f100,f71,f1062])). 12.14/1.86 tff(f1089,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,sK2) | $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_8 | ~spl6_24)), 12.14/1.86 inference(resolution,[],[f139,f257])). 12.14/1.86 tff(f1181,plain,( 12.14/1.86 spl6_101 | ~spl6_24 | spl6_93), 12.14/1.86 inference(avatar_split_clause,[],[f1170,f1111,f245,f1179])). 12.14/1.86 tff(f1179,plain,( 12.14/1.86 spl6_101 <=> $less(summation(sK2),$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_101])])). 12.14/1.86 tff(f1111,plain,( 12.14/1.86 spl6_93 <=> model_ub(sK0,sK1,summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_93])])). 12.14/1.86 tff(f1170,plain,( 12.14/1.86 $less(summation(sK2),$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_24 | spl6_93)), 12.14/1.86 inference(resolution,[],[f1112,f257])). 12.14/1.86 tff(f1112,plain,( 12.14/1.86 ~model_ub(sK0,sK1,summation(sK2)) | spl6_93), 12.14/1.86 inference(avatar_component_clause,[],[f1111])). 12.14/1.86 tff(f1177,plain,( 12.14/1.86 spl6_100 | ~spl6_24 | ~spl6_87 | spl6_93), 12.14/1.86 inference(avatar_split_clause,[],[f1173,f1111,f1011,f245,f1175])). 12.14/1.86 tff(f1175,plain,( 12.14/1.86 spl6_100 <=> $less(summation(sK2),sK2)), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 12.14/1.86 tff(f1011,plain,( 12.14/1.86 spl6_87 <=> sK2 = $sum(c,summation(sK4(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])). 12.14/1.86 tff(f1173,plain,( 12.14/1.86 $less(summation(sK2),sK2) | (~spl6_24 | ~spl6_87 | spl6_93)), 12.14/1.86 inference(forward_demodulation,[],[f1170,f1012])). 12.14/1.86 tff(f1012,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK4(sK0,sK1,sK2))) | ~spl6_87), 12.14/1.86 inference(avatar_component_clause,[],[f1011])). 12.14/1.86 tff(f1169,plain,( 12.14/1.86 spl6_99 | spl6_69), 12.14/1.86 inference(avatar_split_clause,[],[f1155,f887,f1167])). 12.14/1.86 tff(f1167,plain,( 12.14/1.86 spl6_99 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_99])])). 12.14/1.86 tff(f887,plain,( 12.14/1.86 spl6_69 <=> $less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1)))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_69])])). 12.14/1.86 tff(f1155,plain,( 12.14/1.86 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | spl6_69), 12.14/1.86 inference(resolution,[],[f888,f47])). 12.14/1.86 tff(f888,plain,( 12.14/1.86 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | spl6_69), 12.14/1.86 inference(avatar_component_clause,[],[f887])). 12.14/1.86 tff(f1165,plain,( 12.14/1.86 spl6_98 | spl6_69), 12.14/1.86 inference(avatar_split_clause,[],[f1154,f887,f1163])). 12.14/1.86 tff(f1163,plain,( 12.14/1.86 spl6_98 <=> summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK5(sK0,sK1,sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 12.14/1.86 tff(f1154,plain,( 12.14/1.86 summation(sK5(sK0,sK1,sK2)) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK5(sK0,sK1,sK2))) | spl6_69), 12.14/1.86 inference(resolution,[],[f888,f48])). 12.14/1.86 tff(f1161,plain,( 12.14/1.86 ~spl6_97 | spl6_69), 12.14/1.86 inference(avatar_split_clause,[],[f1153,f887,f1159])). 12.14/1.86 tff(f1159,plain,( 12.14/1.86 spl6_97 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1))))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])). 12.14/1.86 tff(f1153,plain,( 12.14/1.86 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation($sum(c,summation(max(sK0,sK1)))))) | spl6_69), 12.14/1.86 inference(resolution,[],[f888,f49])). 12.14/1.86 tff(f1149,plain,( 12.14/1.86 ~spl6_5 | ~spl6_96 | ~spl6_2 | spl6_37), 12.14/1.86 inference(avatar_split_clause,[],[f1145,f435,f71,f1147,f87])). 12.14/1.86 tff(f1145,plain,( 12.14/1.86 ~ub(sK0,sK1,max(sK0,sK1)) | ~$less(sK5(sK0,sK1,sK2),sK2) | (~spl6_2 | spl6_37)), 12.14/1.86 inference(resolution,[],[f878,f228])). 12.14/1.86 tff(f878,plain,( 12.14/1.86 ( ! [X0:$int,X1:$int] : (model_ub(X0,X1,sK5(sK0,sK1,sK2)) | ~ub(X0,X1,max(sK0,sK1))) ) | spl6_37), 12.14/1.86 inference(resolution,[],[f436,f59])). 12.14/1.86 tff(f1120,plain,( 12.14/1.86 ~spl6_93 | spl6_95 | spl6_91), 12.14/1.86 inference(avatar_split_clause,[],[f1109,f1102,f1118,f1111])). 12.14/1.86 tff(f1118,plain,( 12.14/1.86 spl6_95 <=> $less(sK3(sK0,sK1,summation(sK2)),summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_95])])). 12.14/1.86 tff(f1102,plain,( 12.14/1.86 spl6_91 <=> minsol_model_ub(sK0,sK1,summation(sK2))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])). 12.14/1.86 tff(f1109,plain,( 12.14/1.86 $less(sK3(sK0,sK1,summation(sK2)),summation(sK2)) | ~model_ub(sK0,sK1,summation(sK2)) | spl6_91), 12.14/1.86 inference(resolution,[],[f1103,f54])). 12.14/1.86 tff(f1103,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,summation(sK2)) | spl6_91), 12.14/1.86 inference(avatar_component_clause,[],[f1102])). 12.14/1.86 tff(f1116,plain,( 12.14/1.86 ~spl6_93 | spl6_94 | spl6_91), 12.14/1.86 inference(avatar_split_clause,[],[f1108,f1102,f1114,f1111])). 12.14/1.86 tff(f1114,plain,( 12.14/1.86 spl6_94 <=> model_ub(sK0,sK1,sK3(sK0,sK1,summation(sK2)))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 12.14/1.86 tff(f1108,plain,( 12.14/1.86 model_ub(sK0,sK1,sK3(sK0,sK1,summation(sK2))) | ~model_ub(sK0,sK1,summation(sK2)) | spl6_91), 12.14/1.86 inference(resolution,[],[f1103,f53])). 12.14/1.86 tff(f1107,plain,( 12.14/1.86 ~spl6_91 | spl6_92 | ~spl6_10 | ~spl6_24 | ~spl6_87), 12.14/1.86 inference(avatar_split_clause,[],[f1100,f1011,f245,f133,f1105,f1102])). 12.14/1.86 tff(f1100,plain,( 12.14/1.86 $less(summation(sK5(sK0,sK1,sK2)),sK2) | ~minsol_model_ub(sK0,sK1,summation(sK2)) | (~spl6_10 | ~spl6_24 | ~spl6_87)), 12.14/1.86 inference(forward_demodulation,[],[f1099,f1012])). 12.14/1.86 tff(f1099,plain,( 12.14/1.86 ~minsol_model_ub(sK0,sK1,summation(sK2)) | $less(summation(sK5(sK0,sK1,sK2)),$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_10 | ~spl6_24)), 12.14/1.86 inference(resolution,[],[f275,f257])). 12.14/1.86 tff(f275,plain,( 12.14/1.86 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,summation(sK5(sK0,sK1,sK2))) | ~minsol_model_ub(X4,X5,summation(sK2))) ) | ~spl6_10), 12.14/1.86 inference(resolution,[],[f134,f52])). 12.14/1.86 tff(f1071,plain,( 12.14/1.86 spl6_8 | ~spl6_87 | ~spl6_90), 12.14/1.86 inference(avatar_split_clause,[],[f1070,f1062,f1011,f100])). 12.14/1.86 tff(f1070,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),sK2) | (~spl6_87 | ~spl6_90)), 12.14/1.86 inference(forward_demodulation,[],[f1063,f1012])). 12.14/1.86 tff(f1063,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_90), 12.14/1.86 inference(avatar_component_clause,[],[f1062])). 12.14/1.86 tff(f1067,plain,( 12.14/1.86 spl6_86 | spl6_87 | ~spl6_31), 12.14/1.86 inference(avatar_split_clause,[],[f1015,f318,f1011,f1008])). 12.14/1.86 tff(f1015,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK4(sK0,sK1,sK2))) | $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_31), 12.14/1.86 inference(superposition,[],[f319,f48])). 12.14/1.86 tff(f1066,plain,( 12.14/1.86 spl6_86 | spl6_87 | ~spl6_31), 12.14/1.86 inference(avatar_split_clause,[],[f1018,f318,f1011,f1008])). 12.14/1.86 tff(f1018,plain,( 12.14/1.86 sK2 = $sum(c,summation(sK4(sK0,sK1,sK2))) | $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_31), 12.14/1.86 inference(superposition,[],[f48,f319])). 12.14/1.86 tff(f1065,plain,( 12.14/1.86 spl6_8 | ~spl6_11), 12.14/1.86 inference(avatar_split_clause,[],[f281,f142,f100])). 12.14/1.86 tff(f281,plain,( 12.14/1.86 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_11), 12.14/1.86 inference(resolution,[],[f143,f49])). 12.14/1.86 tff(f1064,plain,( 12.14/1.86 ~spl6_2 | spl6_90 | ~spl6_8 | ~spl6_24), 12.14/1.86 inference(avatar_split_clause,[],[f1056,f245,f100,f1062,f71])). 12.14/1.86 tff(f1060,plain,( 12.14/1.86 ~spl6_2 | spl6_89 | ~spl6_5 | ~spl6_24), 12.14/1.86 inference(avatar_split_clause,[],[f1055,f245,f87,f1058,f71])). 12.14/1.86 tff(f1058,plain,( 12.14/1.86 spl6_89 <=> $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_89])])). 12.14/1.86 tff(f1055,plain,( 12.14/1.86 $less(sK5(sK0,sK1,sK2),$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_5 | ~spl6_24)), 12.14/1.86 inference(resolution,[],[f257,f130])). 12.14/1.86 tff(f130,plain,( 12.14/1.86 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK5(sK0,sK1,sK2)) | ~minsol_model_ub(X4,X5,sK2)) ) | ~spl6_5), 12.14/1.86 inference(resolution,[],[f88,f52])). 12.14/1.86 tff(f1031,plain,( 12.14/1.86 ~spl6_88 | ~spl6_5 | ~spl6_2 | ~spl6_3 | ~spl6_24), 12.14/1.86 inference(avatar_split_clause,[],[f1026,f245,f80,f71,f87,f1028])). 12.14/1.86 tff(f1028,plain,( 12.14/1.86 spl6_88 <=> minsol_model_max(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.86 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 12.14/1.86 tff(f1026,plain,( 12.14/1.86 ~$less(sK5(sK0,sK1,sK2),sK2) | ~minsol_model_max(sK0,sK1,$sum(c,summation(sK4(sK0,sK1,sK2)))) | (~spl6_2 | ~spl6_3 | ~spl6_24)), 12.14/1.87 inference(resolution,[],[f479,f421])). 12.14/1.87 tff(f479,plain,( 12.14/1.87 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~$less(X0,sK2)) ) | (~spl6_2 | ~spl6_24)), 12.14/1.87 inference(resolution,[],[f250,f246])). 12.14/1.87 tff(f1014,plain,( 12.14/1.87 spl6_86 | spl6_87 | ~spl6_30), 12.14/1.87 inference(avatar_split_clause,[],[f1006,f314,f1011,f1008])). 12.14/1.87 tff(f1006,plain,( 12.14/1.87 sK2 = $sum(c,summation(sK4(sK0,sK1,sK2))) | $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_30), 12.14/1.87 inference(superposition,[],[f47,f315])). 12.14/1.87 tff(f1013,plain,( 12.14/1.87 spl6_86 | spl6_87 | ~spl6_30), 12.14/1.87 inference(avatar_split_clause,[],[f1003,f314,f1011,f1008])). 12.14/1.87 tff(f1003,plain,( 12.14/1.87 sK2 = $sum(c,summation(sK4(sK0,sK1,sK2))) | $less($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | ~spl6_30), 12.14/1.87 inference(superposition,[],[f315,f47])). 12.14/1.87 tff(f1002,plain,( 12.14/1.87 spl6_85 | spl6_29), 12.14/1.87 inference(avatar_split_clause,[],[f990,f310,f1000])). 12.14/1.87 tff(f1000,plain,( 12.14/1.87 spl6_85 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2)))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_85])])). 12.14/1.87 tff(f310,plain,( 12.14/1.87 spl6_29 <=> $less(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2)))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 12.14/1.87 tff(f990,plain,( 12.14/1.87 summation(sK2) = max(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2))))) | spl6_29), 12.14/1.87 inference(resolution,[],[f311,f47])). 12.14/1.87 tff(f311,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2))))) | spl6_29), 12.14/1.87 inference(avatar_component_clause,[],[f310])). 12.14/1.87 tff(f998,plain,( 12.14/1.87 spl6_84 | spl6_29), 12.14/1.87 inference(avatar_split_clause,[],[f989,f310,f996])). 12.14/1.87 tff(f996,plain,( 12.14/1.87 spl6_84 <=> summation(sK2) = max(summation($sum(c,summation(sK4(sK0,sK1,sK2)))),summation(sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 12.14/1.87 tff(f989,plain,( 12.14/1.87 summation(sK2) = max(summation($sum(c,summation(sK4(sK0,sK1,sK2)))),summation(sK2)) | spl6_29), 12.14/1.87 inference(resolution,[],[f311,f48])). 12.14/1.87 tff(f994,plain,( 12.14/1.87 ~spl6_83 | spl6_29), 12.14/1.87 inference(avatar_split_clause,[],[f988,f310,f992])). 12.14/1.87 tff(f992,plain,( 12.14/1.87 spl6_83 <=> $less(summation(summation(sK2)),summation(summation($sum(c,summation(sK4(sK0,sK1,sK2))))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_83])])). 12.14/1.87 tff(f988,plain,( 12.14/1.87 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(sK4(sK0,sK1,sK2)))))) | spl6_29), 12.14/1.87 inference(resolution,[],[f311,f49])). 12.14/1.87 tff(f979,plain,( 12.14/1.87 ~spl6_34 | ~spl6_35 | ~spl6_36), 12.14/1.87 inference(avatar_split_clause,[],[f976,f431,f427,f424])). 12.14/1.87 tff(f976,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | (~spl6_35 | ~spl6_36)), 12.14/1.87 inference(resolution,[],[f839,f432])). 12.14/1.87 tff(f839,plain,( 12.14/1.87 ( ! [X0:$int] : (~$less(X0,sK5(sK0,sK1,sK2)) | ~model_max(sK0,sK1,X0)) ) | ~spl6_35), 12.14/1.87 inference(resolution,[],[f428,f65])). 12.14/1.87 tff(f969,plain,( 12.14/1.87 spl6_82 | spl6_73), 12.14/1.87 inference(avatar_split_clause,[],[f957,f903,f967])). 12.14/1.87 tff(f967,plain,( 12.14/1.87 spl6_82 <=> sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(sK0)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 12.14/1.87 tff(f957,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(sK0))) | spl6_73), 12.14/1.87 inference(resolution,[],[f904,f47])). 12.14/1.87 tff(f965,plain,( 12.14/1.87 spl6_81 | spl6_73), 12.14/1.87 inference(avatar_split_clause,[],[f956,f903,f963])). 12.14/1.87 tff(f963,plain,( 12.14/1.87 spl6_81 <=> sK5(sK0,sK1,sK2) = max($sum(c,summation(sK0)),sK5(sK0,sK1,sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])). 12.14/1.87 tff(f956,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max($sum(c,summation(sK0)),sK5(sK0,sK1,sK2)) | spl6_73), 12.14/1.87 inference(resolution,[],[f904,f48])). 12.14/1.87 tff(f961,plain,( 12.14/1.87 ~spl6_80 | spl6_73), 12.14/1.87 inference(avatar_split_clause,[],[f955,f903,f959])). 12.14/1.87 tff(f959,plain,( 12.14/1.87 spl6_80 <=> $less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK0))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 12.14/1.87 tff(f955,plain,( 12.14/1.87 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK0)))) | spl6_73), 12.14/1.87 inference(resolution,[],[f904,f49])). 12.14/1.87 tff(f951,plain,( 12.14/1.87 spl6_79 | spl6_72), 12.14/1.87 inference(avatar_split_clause,[],[f939,f899,f949])). 12.14/1.87 tff(f949,plain,( 12.14/1.87 spl6_79 <=> sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(sK1)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_79])])). 12.14/1.87 tff(f939,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(sK1))) | spl6_72), 12.14/1.87 inference(resolution,[],[f900,f47])). 12.14/1.87 tff(f947,plain,( 12.14/1.87 spl6_78 | spl6_72), 12.14/1.87 inference(avatar_split_clause,[],[f938,f899,f945])). 12.14/1.87 tff(f945,plain,( 12.14/1.87 spl6_78 <=> sK5(sK0,sK1,sK2) = max($sum(c,summation(sK1)),sK5(sK0,sK1,sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 12.14/1.87 tff(f938,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max($sum(c,summation(sK1)),sK5(sK0,sK1,sK2)) | spl6_72), 12.14/1.87 inference(resolution,[],[f900,f48])). 12.14/1.87 tff(f943,plain,( 12.14/1.87 ~spl6_77 | spl6_72), 12.14/1.87 inference(avatar_split_clause,[],[f937,f899,f941])). 12.14/1.87 tff(f937,plain,( 12.14/1.87 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(sK1)))) | spl6_72), 12.14/1.87 inference(resolution,[],[f900,f49])). 12.14/1.87 tff(f933,plain,( 12.14/1.87 spl6_76 | spl6_65), 12.14/1.87 inference(avatar_split_clause,[],[f921,f842,f931])). 12.14/1.87 tff(f931,plain,( 12.14/1.87 spl6_76 <=> sK2 = max(sK2,sK5(sK0,sK1,sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 12.14/1.87 tff(f842,plain,( 12.14/1.87 spl6_65 <=> $less(sK2,sK5(sK0,sK1,sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_65])])). 12.14/1.87 tff(f921,plain,( 12.14/1.87 sK2 = max(sK2,sK5(sK0,sK1,sK2)) | spl6_65), 12.14/1.87 inference(resolution,[],[f843,f47])). 12.14/1.87 tff(f843,plain,( 12.14/1.87 ~$less(sK2,sK5(sK0,sK1,sK2)) | spl6_65), 12.14/1.87 inference(avatar_component_clause,[],[f842])). 12.14/1.87 tff(f929,plain,( 12.14/1.87 spl6_75 | spl6_65), 12.14/1.87 inference(avatar_split_clause,[],[f920,f842,f927])). 12.14/1.87 tff(f927,plain,( 12.14/1.87 spl6_75 <=> sK2 = max(sK5(sK0,sK1,sK2),sK2)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_75])])). 12.14/1.87 tff(f920,plain,( 12.14/1.87 sK2 = max(sK5(sK0,sK1,sK2),sK2) | spl6_65), 12.14/1.87 inference(resolution,[],[f843,f48])). 12.14/1.87 tff(f925,plain,( 12.14/1.87 ~spl6_74 | spl6_65), 12.14/1.87 inference(avatar_split_clause,[],[f919,f842,f923])). 12.14/1.87 tff(f919,plain,( 12.14/1.87 ~$less(summation(sK2),summation(sK5(sK0,sK1,sK2))) | spl6_65), 12.14/1.87 inference(resolution,[],[f843,f49])). 12.14/1.87 tff(f905,plain,( 12.14/1.87 spl6_20 | ~spl6_73 | spl6_37), 12.14/1.87 inference(avatar_split_clause,[],[f885,f435,f903,f210])). 12.14/1.87 tff(f885,plain,( 12.14/1.87 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK0))) | $less(sK0,sK1) | spl6_37), 12.14/1.87 inference(superposition,[],[f436,f47])). 12.14/1.87 tff(f901,plain,( 12.14/1.87 spl6_18 | ~spl6_72 | spl6_37), 12.14/1.87 inference(avatar_split_clause,[],[f884,f435,f899,f203])). 12.14/1.87 tff(f884,plain,( 12.14/1.87 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(sK1))) | $less(sK1,sK0) | spl6_37), 12.14/1.87 inference(superposition,[],[f436,f48])). 12.14/1.87 tff(f897,plain,( 12.14/1.87 spl6_71 | spl6_37), 12.14/1.87 inference(avatar_split_clause,[],[f883,f435,f895])). 12.14/1.87 tff(f883,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | spl6_37), 12.14/1.87 inference(resolution,[],[f436,f47])). 12.14/1.87 tff(f893,plain,( 12.14/1.87 spl6_70 | spl6_37), 12.14/1.87 inference(avatar_split_clause,[],[f882,f435,f891])). 12.14/1.87 tff(f891,plain,( 12.14/1.87 spl6_70 <=> sK5(sK0,sK1,sK2) = max($sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 12.14/1.87 tff(f882,plain,( 12.14/1.87 sK5(sK0,sK1,sK2) = max($sum(c,summation(max(sK0,sK1))),sK5(sK0,sK1,sK2)) | spl6_37), 12.14/1.87 inference(resolution,[],[f436,f48])). 12.14/1.87 tff(f889,plain,( 12.14/1.87 ~spl6_69 | spl6_37), 12.14/1.87 inference(avatar_split_clause,[],[f881,f435,f887])). 12.14/1.87 tff(f881,plain,( 12.14/1.87 ~$less(summation(sK5(sK0,sK1,sK2)),summation($sum(c,summation(max(sK0,sK1))))) | spl6_37), 12.14/1.87 inference(resolution,[],[f436,f49])). 12.14/1.87 tff(f876,plain,( 12.14/1.87 spl6_68 | spl6_26), 12.14/1.87 inference(avatar_split_clause,[],[f864,f263,f874])). 12.14/1.87 tff(f874,plain,( 12.14/1.87 spl6_68 <=> sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),sK1)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 12.14/1.87 tff(f263,plain,( 12.14/1.87 spl6_26 <=> $less(sK4(sK0,sK1,sK2),sK1)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 12.14/1.87 tff(f864,plain,( 12.14/1.87 sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),sK1) | spl6_26), 12.14/1.87 inference(resolution,[],[f264,f47])). 12.14/1.87 tff(f264,plain,( 12.14/1.87 ~$less(sK4(sK0,sK1,sK2),sK1) | spl6_26), 12.14/1.87 inference(avatar_component_clause,[],[f263])). 12.14/1.87 tff(f872,plain,( 12.14/1.87 spl6_67 | spl6_26), 12.14/1.87 inference(avatar_split_clause,[],[f863,f263,f870])). 12.14/1.87 tff(f863,plain,( 12.14/1.87 sK4(sK0,sK1,sK2) = max(sK1,sK4(sK0,sK1,sK2)) | spl6_26), 12.14/1.87 inference(resolution,[],[f264,f48])). 12.14/1.87 tff(f868,plain,( 12.14/1.87 ~spl6_66 | spl6_26), 12.14/1.87 inference(avatar_split_clause,[],[f862,f263,f866])). 12.14/1.87 tff(f862,plain,( 12.14/1.87 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK1)) | spl6_26), 12.14/1.87 inference(resolution,[],[f264,f49])). 12.14/1.87 tff(f844,plain,( 12.14/1.87 ~spl6_65 | ~spl6_4 | ~spl6_35), 12.14/1.87 inference(avatar_split_clause,[],[f837,f427,f83,f842])). 12.14/1.87 tff(f83,plain,( 12.14/1.87 spl6_4 <=> model_max(sK0,sK1,sK2)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 12.14/1.87 tff(f837,plain,( 12.14/1.87 ~$less(sK2,sK5(sK0,sK1,sK2)) | (~spl6_4 | ~spl6_35)), 12.14/1.87 inference(resolution,[],[f428,f111])). 12.14/1.87 tff(f111,plain,( 12.14/1.87 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f65])). 12.14/1.87 tff(f105,plain,( 12.14/1.87 model_max(sK0,sK1,sK2) | ~spl6_4), 12.14/1.87 inference(avatar_component_clause,[],[f83])). 12.14/1.87 tff(f803,plain,( 12.14/1.87 ~spl6_1 | ~spl6_3 | ~spl6_5), 12.14/1.87 inference(avatar_split_clause,[],[f418,f87,f80,f68])). 12.14/1.87 tff(f418,plain,( 12.14/1.87 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_3 | ~spl6_5)), 12.14/1.87 inference(resolution,[],[f81,f127])). 12.14/1.87 tff(f802,plain,( 12.14/1.87 spl6_7 | spl6_2 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f238,f93,f71,f96])). 12.14/1.87 tff(f238,plain,( 12.14/1.87 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 12.14/1.87 inference(resolution,[],[f229,f53])). 12.14/1.87 tff(f801,plain,( 12.14/1.87 spl6_7 | spl6_2 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f416,f93,f71,f96])). 12.14/1.87 tff(f416,plain,( 12.14/1.87 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 12.14/1.87 inference(resolution,[],[f229,f53])). 12.14/1.87 tff(f800,plain,( 12.14/1.87 spl6_54 | spl6_55 | ~spl6_17), 12.14/1.87 inference(avatar_split_clause,[],[f704,f199,f698,f695])). 12.14/1.87 tff(f698,plain,( 12.14/1.87 spl6_55 <=> sK2 = $sum(c,summation(max(sK0,sK1)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_55])])). 12.14/1.87 tff(f704,plain,( 12.14/1.87 sK2 = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_17), 12.14/1.87 inference(superposition,[],[f200,f48])). 12.14/1.87 tff(f799,plain,( 12.14/1.87 spl6_54 | spl6_55 | ~spl6_17), 12.14/1.87 inference(avatar_split_clause,[],[f707,f199,f698,f695])). 12.14/1.87 tff(f707,plain,( 12.14/1.87 sK2 = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_17), 12.14/1.87 inference(superposition,[],[f48,f200])). 12.14/1.87 tff(f798,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f557,f83,f68,f80])). 12.14/1.87 tff(f557,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f63])). 12.14/1.87 tff(f796,plain,( 12.14/1.87 spl6_18 | spl6_33 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f401,f68,f404,f203])). 12.14/1.87 tff(f401,plain,( 12.14/1.87 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2) | $less(sK1,sK0)) ) | ~spl6_1), 12.14/1.87 inference(superposition,[],[f147,f48])). 12.14/1.87 tff(f795,plain,( 12.14/1.87 spl6_18 | spl6_33 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f599,f68,f404,f203])). 12.14/1.87 tff(f599,plain,( 12.14/1.87 ( ! [X0:$int] : ($less(X0,$sum(c,summation(sK1))) | ~$less(X0,sK2) | $less(sK1,sK0)) ) | ~spl6_1), 12.14/1.87 inference(superposition,[],[f147,f48])). 12.14/1.87 tff(f794,plain,( 12.14/1.87 spl6_20 | spl6_64 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f402,f68,f791,f210])). 12.14/1.87 tff(f402,plain,( 12.14/1.87 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2) | $less(sK0,sK1)) ) | ~spl6_1), 12.14/1.87 inference(superposition,[],[f147,f47])). 12.14/1.87 tff(f793,plain,( 12.14/1.87 spl6_20 | spl6_64 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f600,f68,f791,f210])). 12.14/1.87 tff(f600,plain,( 12.14/1.87 ( ! [X1:$int] : ($less(X1,$sum(c,summation(sK0))) | ~$less(X1,sK2) | $less(sK0,sK1)) ) | ~spl6_1), 12.14/1.87 inference(superposition,[],[f147,f47])). 12.14/1.87 tff(f789,plain,( 12.14/1.87 spl6_63 | spl6_20 | spl6_6 | spl6_21), 12.14/1.87 inference(avatar_split_clause,[],[f767,f213,f93,f210,f787])). 12.14/1.87 tff(f213,plain,( 12.14/1.87 spl6_21 <=> $less(sK2,$sum(c,summation(sK0)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 12.14/1.87 tff(f767,plain,( 12.14/1.87 $less(sK0,sK1) | $less(sK0,sK0) | (spl6_6 | spl6_21)), 12.14/1.87 inference(resolution,[],[f376,f214])). 12.14/1.87 tff(f214,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK0))) | spl6_21), 12.14/1.87 inference(avatar_component_clause,[],[f213])). 12.14/1.87 tff(f376,plain,( 12.14/1.87 ( ! [X1:$int] : ($less(sK2,$sum(c,summation(X1))) | $less(X1,sK1) | $less(X1,sK0)) ) | spl6_6), 12.14/1.87 inference(resolution,[],[f107,f60])). 12.14/1.87 tff(f107,plain,( 12.14/1.87 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK2,$sum(c,summation(X0)))) ) | spl6_6), 12.14/1.87 inference(resolution,[],[f94,f59])). 12.14/1.87 tff(f94,plain,( 12.14/1.87 ~model_ub(sK0,sK1,sK2) | spl6_6), 12.14/1.87 inference(avatar_component_clause,[],[f93])). 12.14/1.87 tff(f785,plain,( 12.14/1.87 spl6_18 | spl6_62 | spl6_6 | spl6_19), 12.14/1.87 inference(avatar_split_clause,[],[f766,f206,f93,f783,f203])). 12.14/1.87 tff(f206,plain,( 12.14/1.87 spl6_19 <=> $less(sK2,$sum(c,summation(sK1)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 12.14/1.87 tff(f766,plain,( 12.14/1.87 $less(sK1,sK1) | $less(sK1,sK0) | (spl6_6 | spl6_19)), 12.14/1.87 inference(resolution,[],[f376,f207])). 12.14/1.87 tff(f207,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK1))) | spl6_19), 12.14/1.87 inference(avatar_component_clause,[],[f206])). 12.14/1.87 tff(f781,plain,( 12.14/1.87 spl6_60 | spl6_61 | spl6_6 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f765,f114,f93,f779,f776])). 12.14/1.87 tff(f114,plain,( 12.14/1.87 spl6_9 <=> $less(sK2,$sum(c,summation(max(sK0,sK1))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 12.14/1.87 tff(f765,plain,( 12.14/1.87 $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (spl6_6 | spl6_9)), 12.14/1.87 inference(resolution,[],[f376,f115])). 12.14/1.87 tff(f115,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | spl6_9), 12.14/1.87 inference(avatar_component_clause,[],[f114])). 12.14/1.87 tff(f748,plain,( 12.14/1.87 spl6_59 | spl6_39), 12.14/1.87 inference(avatar_split_clause,[],[f739,f497,f745])). 12.14/1.87 tff(f745,plain,( 12.14/1.87 spl6_59 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])). 12.14/1.87 tff(f497,plain,( 12.14/1.87 spl6_39 <=> $less(summation(summation(sK2)),summation(summation(sK2)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])). 12.14/1.87 tff(f739,plain,( 12.14/1.87 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | spl6_39), 12.14/1.87 inference(resolution,[],[f498,f47])). 12.14/1.87 tff(f498,plain,( 12.14/1.87 ~$less(summation(summation(sK2)),summation(summation(sK2))) | spl6_39), 12.14/1.87 inference(avatar_component_clause,[],[f497])). 12.14/1.87 tff(f747,plain,( 12.14/1.87 spl6_59 | spl6_39), 12.14/1.87 inference(avatar_split_clause,[],[f738,f497,f745])). 12.14/1.87 tff(f738,plain,( 12.14/1.87 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | spl6_39), 12.14/1.87 inference(resolution,[],[f498,f48])). 12.14/1.87 tff(f743,plain,( 12.14/1.87 ~spl6_58 | spl6_39), 12.14/1.87 inference(avatar_split_clause,[],[f737,f497,f741])). 12.14/1.87 tff(f741,plain,( 12.14/1.87 spl6_58 <=> $less(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])). 12.14/1.87 tff(f737,plain,( 12.14/1.87 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | spl6_39), 12.14/1.87 inference(resolution,[],[f498,f49])). 12.14/1.87 tff(f729,plain,( 12.14/1.87 spl6_57 | ~spl6_28), 12.14/1.87 inference(avatar_split_clause,[],[f725,f288,f727])). 12.14/1.87 tff(f727,plain,( 12.14/1.87 spl6_57 <=> $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_57])])). 12.14/1.87 tff(f288,plain,( 12.14/1.87 spl6_28 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 12.14/1.87 tff(f725,plain,( 12.14/1.87 $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_28), 12.14/1.87 inference(resolution,[],[f289,f50])). 12.14/1.87 tff(f289,plain,( 12.14/1.87 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_28), 12.14/1.87 inference(avatar_component_clause,[],[f288])). 12.14/1.87 tff(f719,plain,( 12.14/1.87 spl6_56 | ~spl6_27), 12.14/1.87 inference(avatar_split_clause,[],[f715,f278,f717])). 12.14/1.87 tff(f717,plain,( 12.14/1.87 spl6_56 <=> $less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 12.14/1.87 tff(f278,plain,( 12.14/1.87 spl6_27 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 12.14/1.87 tff(f715,plain,( 12.14/1.87 $less(summation(summation(summation(sK5(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_27), 12.14/1.87 inference(resolution,[],[f279,f50])). 12.14/1.87 tff(f279,plain,( 12.14/1.87 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_27), 12.14/1.87 inference(avatar_component_clause,[],[f278])). 12.14/1.87 tff(f701,plain,( 12.14/1.87 spl6_54 | spl6_55 | ~spl6_16), 12.14/1.87 inference(avatar_split_clause,[],[f693,f195,f698,f695])). 12.14/1.87 tff(f693,plain,( 12.14/1.87 sK2 = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_16), 12.14/1.87 inference(superposition,[],[f47,f196])). 12.14/1.87 tff(f700,plain,( 12.14/1.87 spl6_54 | spl6_55 | ~spl6_16), 12.14/1.87 inference(avatar_split_clause,[],[f690,f195,f698,f695])). 12.14/1.87 tff(f690,plain,( 12.14/1.87 sK2 = $sum(c,summation(max(sK0,sK1))) | $less($sum(c,summation(max(sK0,sK1))),sK2) | ~spl6_16), 12.14/1.87 inference(superposition,[],[f196,f47])). 12.14/1.87 tff(f687,plain,( 12.14/1.87 spl6_53 | spl6_15), 12.14/1.87 inference(avatar_split_clause,[],[f673,f191,f685])). 12.14/1.87 tff(f685,plain,( 12.14/1.87 spl6_53 <=> summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_53])])). 12.14/1.87 tff(f191,plain,( 12.14/1.87 spl6_15 <=> $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1)))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 12.14/1.87 tff(f673,plain,( 12.14/1.87 summation(sK2) = max(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | spl6_15), 12.14/1.87 inference(resolution,[],[f192,f47])). 12.14/1.87 tff(f192,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | spl6_15), 12.14/1.87 inference(avatar_component_clause,[],[f191])). 12.14/1.87 tff(f683,plain,( 12.14/1.87 spl6_52 | spl6_15), 12.14/1.87 inference(avatar_split_clause,[],[f672,f191,f681])). 12.14/1.87 tff(f681,plain,( 12.14/1.87 spl6_52 <=> summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 12.14/1.87 tff(f672,plain,( 12.14/1.87 summation(sK2) = max(summation($sum(c,summation(max(sK0,sK1)))),summation(sK2)) | spl6_15), 12.14/1.87 inference(resolution,[],[f192,f48])). 12.14/1.87 tff(f679,plain,( 12.14/1.87 ~spl6_51 | spl6_15), 12.14/1.87 inference(avatar_split_clause,[],[f671,f191,f677])). 12.14/1.87 tff(f677,plain,( 12.14/1.87 spl6_51 <=> $less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1))))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])). 12.14/1.87 tff(f671,plain,( 12.14/1.87 ~$less(summation(summation(sK2)),summation(summation($sum(c,summation(max(sK0,sK1)))))) | spl6_15), 12.14/1.87 inference(resolution,[],[f192,f49])). 12.14/1.87 tff(f656,plain,( 12.14/1.87 spl6_29 | ~spl6_23), 12.14/1.87 inference(avatar_split_clause,[],[f654,f241,f310])). 12.14/1.87 tff(f241,plain,( 12.14/1.87 spl6_23 <=> $less(sK2,$sum(c,summation(sK4(sK0,sK1,sK2))))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])). 12.14/1.87 tff(f654,plain,( 12.14/1.87 $less(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2))))) | ~spl6_23), 12.14/1.87 inference(resolution,[],[f377,f50])). 12.14/1.87 tff(f377,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_23), 12.14/1.87 inference(avatar_component_clause,[],[f241])). 12.14/1.87 tff(f626,plain,( 12.14/1.87 spl6_50 | spl6_19), 12.14/1.87 inference(avatar_split_clause,[],[f614,f206,f624])). 12.14/1.87 tff(f624,plain,( 12.14/1.87 spl6_50 <=> sK2 = max(sK2,$sum(c,summation(sK1)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])). 12.14/1.87 tff(f614,plain,( 12.14/1.87 sK2 = max(sK2,$sum(c,summation(sK1))) | spl6_19), 12.14/1.87 inference(resolution,[],[f207,f47])). 12.14/1.87 tff(f622,plain,( 12.14/1.87 spl6_49 | spl6_19), 12.14/1.87 inference(avatar_split_clause,[],[f613,f206,f620])). 12.14/1.87 tff(f613,plain,( 12.14/1.87 sK2 = max($sum(c,summation(sK1)),sK2) | spl6_19), 12.14/1.87 inference(resolution,[],[f207,f48])). 12.14/1.87 tff(f618,plain,( 12.14/1.87 ~spl6_48 | spl6_19), 12.14/1.87 inference(avatar_split_clause,[],[f612,f206,f616])). 12.14/1.87 tff(f612,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(sK1)))) | spl6_19), 12.14/1.87 inference(resolution,[],[f207,f49])). 12.14/1.87 tff(f574,plain,( 12.14/1.87 spl6_47 | ~spl6_22), 12.14/1.87 inference(avatar_split_clause,[],[f570,f222,f572])). 12.14/1.87 tff(f572,plain,( 12.14/1.87 spl6_47 <=> $less(summation(summation(sK0)),summation(summation(sK1)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 12.14/1.87 tff(f222,plain,( 12.14/1.87 spl6_22 <=> $less(summation(sK0),summation(sK1))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 12.14/1.87 tff(f570,plain,( 12.14/1.87 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_22), 12.14/1.87 inference(resolution,[],[f223,f50])). 12.14/1.87 tff(f223,plain,( 12.14/1.87 $less(summation(sK0),summation(sK1)) | ~spl6_22), 12.14/1.87 inference(avatar_component_clause,[],[f222])). 12.14/1.87 tff(f550,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f109,f83,f68,f80])). 12.14/1.87 tff(f109,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f63])). 12.14/1.87 tff(f549,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f123,f83,f68,f80])). 12.14/1.87 tff(f123,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f63])). 12.14/1.87 tff(f548,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f340,f83,f68,f80])). 12.14/1.87 tff(f340,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f63])). 12.14/1.87 tff(f547,plain,( 12.14/1.87 ~spl6_2 | spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f108,f93,f71])). 12.14/1.87 tff(f108,plain,( 12.14/1.87 ~minsol_model_ub(sK0,sK1,sK2) | spl6_6), 12.14/1.87 inference(resolution,[],[f94,f51])). 12.14/1.87 tff(f51,plain,( 12.14/1.87 ( ! [X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 12.14/1.87 inference(cnf_transformation,[],[f32])). 12.14/1.87 tff(f546,plain,( 12.14/1.87 ~spl6_2 | spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f339,f93,f71])). 12.14/1.87 tff(f339,plain,( 12.14/1.87 ~minsol_model_ub(sK0,sK1,sK2) | spl6_6), 12.14/1.87 inference(resolution,[],[f94,f51])). 12.14/1.87 tff(f545,plain,( 12.14/1.87 spl6_4 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f181,f114,f83])). 12.14/1.87 tff(f181,plain,( 12.14/1.87 model_max(sK0,sK1,sK2) | spl6_9), 12.14/1.87 inference(resolution,[],[f115,f56])). 12.14/1.87 tff(f544,plain,( 12.14/1.87 spl6_4 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f365,f114,f83])). 12.14/1.87 tff(f365,plain,( 12.14/1.87 model_max(sK0,sK1,sK2) | spl6_9), 12.14/1.87 inference(resolution,[],[f115,f56])). 12.14/1.87 tff(f543,plain,( 12.14/1.87 spl6_46 | spl6_25), 12.14/1.87 inference(avatar_split_clause,[],[f531,f259,f541])). 12.14/1.87 tff(f541,plain,( 12.14/1.87 spl6_46 <=> sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),sK0)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 12.14/1.87 tff(f259,plain,( 12.14/1.87 spl6_25 <=> $less(sK4(sK0,sK1,sK2),sK0)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 12.14/1.87 tff(f531,plain,( 12.14/1.87 sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),sK0) | spl6_25), 12.14/1.87 inference(resolution,[],[f260,f47])). 12.14/1.87 tff(f260,plain,( 12.14/1.87 ~$less(sK4(sK0,sK1,sK2),sK0) | spl6_25), 12.14/1.87 inference(avatar_component_clause,[],[f259])). 12.14/1.87 tff(f539,plain,( 12.14/1.87 spl6_45 | spl6_25), 12.14/1.87 inference(avatar_split_clause,[],[f530,f259,f537])). 12.14/1.87 tff(f530,plain,( 12.14/1.87 sK4(sK0,sK1,sK2) = max(sK0,sK4(sK0,sK1,sK2)) | spl6_25), 12.14/1.87 inference(resolution,[],[f260,f48])). 12.14/1.87 tff(f535,plain,( 12.14/1.87 ~spl6_44 | spl6_25), 12.14/1.87 inference(avatar_split_clause,[],[f529,f259,f533])). 12.14/1.87 tff(f529,plain,( 12.14/1.87 ~$less(summation(sK4(sK0,sK1,sK2)),summation(sK0)) | spl6_25), 12.14/1.87 inference(resolution,[],[f260,f49])). 12.14/1.87 tff(f526,plain,( 12.14/1.87 spl6_43 | spl6_21), 12.14/1.87 inference(avatar_split_clause,[],[f514,f213,f524])). 12.14/1.87 tff(f524,plain,( 12.14/1.87 spl6_43 <=> sK2 = max(sK2,$sum(c,summation(sK0)))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 12.14/1.87 tff(f514,plain,( 12.14/1.87 sK2 = max(sK2,$sum(c,summation(sK0))) | spl6_21), 12.14/1.87 inference(resolution,[],[f214,f47])). 12.14/1.87 tff(f522,plain,( 12.14/1.87 spl6_42 | spl6_21), 12.14/1.87 inference(avatar_split_clause,[],[f513,f213,f520])). 12.14/1.87 tff(f513,plain,( 12.14/1.87 sK2 = max($sum(c,summation(sK0)),sK2) | spl6_21), 12.14/1.87 inference(resolution,[],[f214,f48])). 12.14/1.87 tff(f518,plain,( 12.14/1.87 ~spl6_41 | spl6_21), 12.14/1.87 inference(avatar_split_clause,[],[f512,f213,f516])). 12.14/1.87 tff(f512,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(sK0)))) | spl6_21), 12.14/1.87 inference(resolution,[],[f214,f49])). 12.14/1.87 tff(f504,plain,( 12.14/1.87 spl6_40 | spl6_13), 12.14/1.87 inference(avatar_split_clause,[],[f495,f159,f501])). 12.14/1.87 tff(f159,plain,( 12.14/1.87 spl6_13 <=> $less(summation(sK2),summation(sK2))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 12.14/1.87 tff(f495,plain,( 12.14/1.87 summation(sK2) = max(summation(sK2),summation(sK2)) | spl6_13), 12.14/1.87 inference(resolution,[],[f160,f47])). 12.14/1.87 tff(f160,plain,( 12.14/1.87 ~$less(summation(sK2),summation(sK2)) | spl6_13), 12.14/1.87 inference(avatar_component_clause,[],[f159])). 12.14/1.87 tff(f503,plain,( 12.14/1.87 spl6_40 | spl6_13), 12.14/1.87 inference(avatar_split_clause,[],[f494,f159,f501])). 12.14/1.87 tff(f494,plain,( 12.14/1.87 summation(sK2) = max(summation(sK2),summation(sK2)) | spl6_13), 12.14/1.87 inference(resolution,[],[f160,f48])). 12.14/1.87 tff(f499,plain,( 12.14/1.87 ~spl6_39 | spl6_13), 12.14/1.87 inference(avatar_split_clause,[],[f493,f159,f497])). 12.14/1.87 tff(f493,plain,( 12.14/1.87 ~$less(summation(summation(sK2)),summation(summation(sK2))) | spl6_13), 12.14/1.87 inference(resolution,[],[f160,f49])). 12.14/1.87 tff(f478,plain,( 12.14/1.87 spl6_38 | ~spl6_36), 12.14/1.87 inference(avatar_split_clause,[],[f474,f431,f476])). 12.14/1.87 tff(f474,plain,( 12.14/1.87 $less(summation(sK5(sK0,sK1,sK5(sK0,sK1,sK2))),summation(sK5(sK0,sK1,sK2))) | ~spl6_36), 12.14/1.87 inference(resolution,[],[f432,f50])). 12.14/1.87 tff(f441,plain,( 12.14/1.87 ~spl6_4 | ~spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f291,f114,f83])). 12.14/1.87 tff(f291,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | ~spl6_9), 12.14/1.87 inference(resolution,[],[f233,f55])). 12.14/1.87 tff(f233,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_9), 12.14/1.87 inference(avatar_component_clause,[],[f114])). 12.14/1.87 tff(f440,plain,( 12.14/1.87 spl6_3 | ~spl6_4 | spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f225,f68,f83,f80])). 12.14/1.87 tff(f225,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_1), 12.14/1.87 inference(resolution,[],[f69,f63])). 12.14/1.87 tff(f69,plain,( 12.14/1.87 ~minsol_model_max(sK0,sK1,sK2) | spl6_1), 12.14/1.87 inference(avatar_component_clause,[],[f68])). 12.14/1.87 tff(f439,plain,( 12.14/1.87 spl6_3 | ~spl6_4 | spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f77,f68,f83,f80])). 12.14/1.87 tff(f77,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_1), 12.14/1.87 inference(resolution,[],[f69,f63])). 12.14/1.87 tff(f438,plain,( 12.14/1.87 spl6_3 | ~spl6_4 | spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f409,f68,f83,f80])). 12.14/1.87 tff(f409,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | spl6_1), 12.14/1.87 inference(resolution,[],[f69,f63])). 12.14/1.87 tff(f437,plain,( 12.14/1.87 ~spl6_37 | ~spl6_3), 12.14/1.87 inference(avatar_split_clause,[],[f422,f80,f435])). 12.14/1.87 tff(f422,plain,( 12.14/1.87 ~$less(sK5(sK0,sK1,sK2),$sum(c,summation(max(sK0,sK1)))) | ~spl6_3), 12.14/1.87 inference(resolution,[],[f81,f55])). 12.14/1.87 tff(f433,plain,( 12.14/1.87 spl6_36 | spl6_35 | ~spl6_3), 12.14/1.87 inference(avatar_split_clause,[],[f420,f80,f427,f431])). 12.14/1.87 tff(f420,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | $less(sK5(sK0,sK1,sK5(sK0,sK1,sK2)),sK5(sK0,sK1,sK2)) | ~spl6_3), 12.14/1.87 inference(resolution,[],[f81,f64])). 12.14/1.87 tff(f429,plain,( 12.14/1.87 spl6_34 | spl6_35 | ~spl6_3), 12.14/1.87 inference(avatar_split_clause,[],[f419,f80,f427,f424])). 12.14/1.87 tff(f419,plain,( 12.14/1.87 minsol_model_max(sK0,sK1,sK5(sK0,sK1,sK2)) | model_max(sK0,sK1,sK5(sK0,sK1,sK5(sK0,sK1,sK2))) | ~spl6_3), 12.14/1.87 inference(resolution,[],[f81,f63])). 12.14/1.87 tff(f408,plain,( 12.14/1.87 spl6_7 | spl6_2 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f238,f93,f71,f96])). 12.14/1.87 tff(f407,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f340,f83,f68,f80])). 12.14/1.87 tff(f406,plain,( 12.14/1.87 spl6_18 | spl6_33 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f401,f68,f404,f203])). 12.14/1.87 tff(f378,plain,( 12.14/1.87 spl6_23 | spl6_6 | ~spl6_24), 12.14/1.87 inference(avatar_split_clause,[],[f374,f245,f93,f241])). 12.14/1.87 tff(f374,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | (spl6_6 | ~spl6_24)), 12.14/1.87 inference(resolution,[],[f107,f246])). 12.14/1.87 tff(f354,plain,( 12.14/1.87 spl6_18 | ~spl6_19 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f188,f114,f206,f203])). 12.14/1.87 tff(f188,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | spl6_9), 12.14/1.87 inference(superposition,[],[f115,f48])). 12.14/1.87 tff(f352,plain,( 12.14/1.87 spl6_32 | ~spl6_18), 12.14/1.87 inference(avatar_split_clause,[],[f348,f203,f350])). 12.14/1.87 tff(f350,plain,( 12.14/1.87 spl6_32 <=> $less(summation(sK1),summation(sK0))), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 12.14/1.87 tff(f348,plain,( 12.14/1.87 $less(summation(sK1),summation(sK0)) | ~spl6_18), 12.14/1.87 inference(resolution,[],[f204,f50])). 12.14/1.87 tff(f204,plain,( 12.14/1.87 $less(sK1,sK0) | ~spl6_18), 12.14/1.87 inference(avatar_component_clause,[],[f203])). 12.14/1.87 tff(f333,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f109,f83,f68,f80])). 12.14/1.87 tff(f332,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f123,f83,f68,f80])). 12.14/1.87 tff(f331,plain,( 12.14/1.87 ~spl6_2 | spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f108,f93,f71])). 12.14/1.87 tff(f330,plain,( 12.14/1.87 spl6_4 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f181,f114,f83])). 12.14/1.87 tff(f329,plain,( 12.14/1.87 ~spl6_1 | spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f231,f83,f68])). 12.14/1.87 tff(f231,plain,( 12.14/1.87 ~minsol_model_max(sK0,sK1,sK2) | spl6_4), 12.14/1.87 inference(resolution,[],[f84,f66])). 12.14/1.87 tff(f84,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | spl6_4), 12.14/1.87 inference(avatar_component_clause,[],[f83])). 12.14/1.87 tff(f328,plain,( 12.14/1.87 spl6_7 | spl6_2 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f238,f93,f71,f96])). 12.14/1.87 tff(f327,plain,( 12.14/1.87 ~spl6_4 | ~spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f291,f114,f83])). 12.14/1.87 tff(f326,plain,( 12.14/1.87 spl6_20 | spl6_21 | ~spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f298,f114,f213,f210])). 12.14/1.87 tff(f298,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | ~spl6_9), 12.14/1.87 inference(superposition,[],[f233,f47])). 12.14/1.87 tff(f324,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f109,f83,f68,f80])). 12.14/1.87 tff(f323,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f123,f83,f68,f80])). 12.14/1.87 tff(f322,plain,( 12.14/1.87 ~spl6_2 | spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f108,f93,f71])). 12.14/1.87 tff(f321,plain,( 12.14/1.87 spl6_4 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f181,f114,f83])). 12.14/1.87 tff(f320,plain,( 12.14/1.87 spl6_31 | spl6_23), 12.14/1.87 inference(avatar_split_clause,[],[f308,f241,f318])). 12.14/1.87 tff(f308,plain,( 12.14/1.87 sK2 = max(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | spl6_23), 12.14/1.87 inference(resolution,[],[f242,f47])). 12.14/1.87 tff(f242,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | spl6_23), 12.14/1.87 inference(avatar_component_clause,[],[f241])). 12.14/1.87 tff(f316,plain,( 12.14/1.87 spl6_30 | spl6_23), 12.14/1.87 inference(avatar_split_clause,[],[f307,f241,f314])). 12.14/1.87 tff(f307,plain,( 12.14/1.87 sK2 = max($sum(c,summation(sK4(sK0,sK1,sK2))),sK2) | spl6_23), 12.14/1.87 inference(resolution,[],[f242,f48])). 12.14/1.87 tff(f312,plain,( 12.14/1.87 ~spl6_29 | spl6_23), 12.14/1.87 inference(avatar_split_clause,[],[f306,f241,f310])). 12.14/1.87 tff(f306,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(sK4(sK0,sK1,sK2))))) | spl6_23), 12.14/1.87 inference(resolution,[],[f242,f49])). 12.14/1.87 tff(f302,plain,( 12.14/1.87 spl6_18 | spl6_19 | ~spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f297,f114,f206,f203])). 12.14/1.87 tff(f297,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(sK1))) | $less(sK1,sK0) | ~spl6_9), 12.14/1.87 inference(superposition,[],[f233,f48])). 12.14/1.87 tff(f300,plain,( 12.14/1.87 spl6_15 | ~spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f296,f114,f191])). 12.14/1.87 tff(f296,plain,( 12.14/1.87 $less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | ~spl6_9), 12.14/1.87 inference(resolution,[],[f233,f50])). 12.14/1.87 tff(f290,plain,( 12.14/1.87 spl6_28 | ~spl6_11), 12.14/1.87 inference(avatar_split_clause,[],[f286,f142,f288])). 12.14/1.87 tff(f286,plain,( 12.14/1.87 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_11), 12.14/1.87 inference(resolution,[],[f143,f50])). 12.14/1.87 tff(f280,plain,( 12.14/1.87 spl6_27 | ~spl6_10), 12.14/1.87 inference(avatar_split_clause,[],[f276,f133,f278])). 12.14/1.87 tff(f276,plain,( 12.14/1.87 $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_10), 12.14/1.87 inference(resolution,[],[f134,f50])). 12.14/1.87 tff(f265,plain,( 12.14/1.87 ~spl6_26 | ~spl6_24), 12.14/1.87 inference(avatar_split_clause,[],[f256,f245,f263])). 12.14/1.87 tff(f256,plain,( 12.14/1.87 ~$less(sK4(sK0,sK1,sK2),sK1) | ~spl6_24), 12.14/1.87 inference(resolution,[],[f246,f62])). 12.14/1.87 tff(f261,plain,( 12.14/1.87 ~spl6_25 | ~spl6_24), 12.14/1.87 inference(avatar_split_clause,[],[f255,f245,f259])). 12.14/1.87 tff(f255,plain,( 12.14/1.87 ~$less(sK4(sK0,sK1,sK2),sK0) | ~spl6_24), 12.14/1.87 inference(resolution,[],[f246,f61])). 12.14/1.87 tff(f247,plain,( 12.14/1.87 spl6_24 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f236,f93,f245])). 12.14/1.87 tff(f236,plain,( 12.14/1.87 ub(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_6), 12.14/1.87 inference(resolution,[],[f229,f58])). 12.14/1.87 tff(f243,plain,( 12.14/1.87 ~spl6_23 | ~spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f235,f93,f241])). 12.14/1.87 tff(f235,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK4(sK0,sK1,sK2)))) | ~spl6_6), 12.14/1.87 inference(resolution,[],[f229,f57])). 12.14/1.87 tff(f234,plain,( 12.14/1.87 spl6_9 | spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f232,f83,f114])). 12.14/1.87 tff(f232,plain,( 12.14/1.87 $less(sK2,$sum(c,summation(max(sK0,sK1)))) | spl6_4), 12.14/1.87 inference(resolution,[],[f84,f56])). 12.14/1.87 tff(f230,plain,( 12.14/1.87 spl6_6 | ~spl6_2), 12.14/1.87 inference(avatar_split_clause,[],[f227,f71,f93])). 12.14/1.87 tff(f227,plain,( 12.14/1.87 model_ub(sK0,sK1,sK2) | ~spl6_2), 12.14/1.87 inference(resolution,[],[f75,f51])). 12.14/1.87 tff(f224,plain,( 12.14/1.87 spl6_22 | ~spl6_20), 12.14/1.87 inference(avatar_split_clause,[],[f220,f210,f222])). 12.14/1.87 tff(f220,plain,( 12.14/1.87 $less(summation(sK0),summation(sK1)) | ~spl6_20), 12.14/1.87 inference(resolution,[],[f211,f50])). 12.14/1.87 tff(f211,plain,( 12.14/1.87 $less(sK0,sK1) | ~spl6_20), 12.14/1.87 inference(avatar_component_clause,[],[f210])). 12.14/1.87 tff(f215,plain,( 12.14/1.87 spl6_20 | ~spl6_21 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f189,f114,f213,f210])). 12.14/1.87 tff(f189,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(sK0))) | $less(sK0,sK1) | spl6_9), 12.14/1.87 inference(superposition,[],[f115,f47])). 12.14/1.87 tff(f208,plain,( 12.14/1.87 spl6_18 | ~spl6_19 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f188,f114,f206,f203])). 12.14/1.87 tff(f201,plain,( 12.14/1.87 spl6_17 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f187,f114,f199])). 12.14/1.87 tff(f187,plain,( 12.14/1.87 sK2 = max(sK2,$sum(c,summation(max(sK0,sK1)))) | spl6_9), 12.14/1.87 inference(resolution,[],[f115,f47])). 12.14/1.87 tff(f197,plain,( 12.14/1.87 spl6_16 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f186,f114,f195])). 12.14/1.87 tff(f186,plain,( 12.14/1.87 sK2 = max($sum(c,summation(max(sK0,sK1))),sK2) | spl6_9), 12.14/1.87 inference(resolution,[],[f115,f48])). 12.14/1.87 tff(f193,plain,( 12.14/1.87 ~spl6_15 | spl6_9), 12.14/1.87 inference(avatar_split_clause,[],[f185,f114,f191])). 12.14/1.87 tff(f185,plain,( 12.14/1.87 ~$less(summation(sK2),summation($sum(c,summation(max(sK0,sK1))))) | spl6_9), 12.14/1.87 inference(resolution,[],[f115,f49])). 12.14/1.87 tff(f166,plain,( 12.14/1.87 spl6_14 | spl6_12), 12.14/1.87 inference(avatar_split_clause,[],[f157,f150,f163])). 12.14/1.87 tff(f150,plain,( 12.14/1.87 spl6_12 <=> $less(sK2,sK2)), 12.14/1.87 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 12.14/1.87 tff(f157,plain,( 12.14/1.87 sK2 = max(sK2,sK2) | spl6_12), 12.14/1.87 inference(resolution,[],[f151,f47])). 12.14/1.87 tff(f151,plain,( 12.14/1.87 ~$less(sK2,sK2) | spl6_12), 12.14/1.87 inference(avatar_component_clause,[],[f150])). 12.14/1.87 tff(f165,plain,( 12.14/1.87 spl6_14 | spl6_12), 12.14/1.87 inference(avatar_split_clause,[],[f156,f150,f163])). 12.14/1.87 tff(f156,plain,( 12.14/1.87 sK2 = max(sK2,sK2) | spl6_12), 12.14/1.87 inference(resolution,[],[f151,f48])). 12.14/1.87 tff(f161,plain,( 12.14/1.87 ~spl6_13 | spl6_12), 12.14/1.87 inference(avatar_split_clause,[],[f155,f150,f159])). 12.14/1.87 tff(f155,plain,( 12.14/1.87 ~$less(summation(sK2),summation(sK2)) | spl6_12), 12.14/1.87 inference(resolution,[],[f151,f49])). 12.14/1.87 tff(f152,plain,( 12.14/1.87 ~spl6_12 | ~spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f145,f83,f68,f150])). 12.14/1.87 tff(f145,plain,( 12.14/1.87 ~$less(sK2,sK2) | (~spl6_1 | ~spl6_4)), 12.14/1.87 inference(resolution,[],[f103,f105])). 12.14/1.87 tff(f144,plain,( 12.14/1.87 spl6_11 | ~spl6_8), 12.14/1.87 inference(avatar_split_clause,[],[f140,f100,f142])). 12.14/1.87 tff(f140,plain,( 12.14/1.87 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_8), 12.14/1.87 inference(resolution,[],[f101,f50])). 12.14/1.87 tff(f135,plain,( 12.14/1.87 spl6_10 | ~spl6_5), 12.14/1.87 inference(avatar_split_clause,[],[f131,f87,f133])). 12.14/1.87 tff(f131,plain,( 12.14/1.87 $less(summation(sK5(sK0,sK1,sK2)),summation(sK2)) | ~spl6_5), 12.14/1.87 inference(resolution,[],[f88,f50])). 12.14/1.87 tff(f118,plain,( 12.14/1.87 spl6_3 | spl6_1 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f109,f83,f68,f80])). 12.14/1.87 tff(f117,plain,( 12.14/1.87 ~spl6_2 | spl6_6), 12.14/1.87 inference(avatar_split_clause,[],[f108,f93,f71])). 12.14/1.87 tff(f116,plain,( 12.14/1.87 ~spl6_9 | ~spl6_4), 12.14/1.87 inference(avatar_split_clause,[],[f112,f83,f114])). 12.14/1.87 tff(f112,plain,( 12.14/1.87 ~$less(sK2,$sum(c,summation(max(sK0,sK1)))) | ~spl6_4), 12.14/1.87 inference(resolution,[],[f105,f55])). 12.14/1.87 tff(f106,plain,( 12.14/1.87 spl6_4 | ~spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f104,f68,f83])). 12.14/1.87 tff(f104,plain,( 12.14/1.87 model_max(sK0,sK1,sK2) | ~spl6_1), 12.14/1.87 inference(resolution,[],[f74,f66])). 12.14/1.87 tff(f102,plain,( 12.14/1.87 ~spl6_6 | spl6_8 | spl6_2), 12.14/1.87 inference(avatar_split_clause,[],[f91,f71,f100,f93])). 12.14/1.87 tff(f91,plain,( 12.14/1.87 $less(sK3(sK0,sK1,sK2),sK2) | ~model_ub(sK0,sK1,sK2) | spl6_2), 12.14/1.87 inference(resolution,[],[f72,f54])). 12.14/1.87 tff(f72,plain,( 12.14/1.87 ~minsol_model_ub(sK0,sK1,sK2) | spl6_2), 12.14/1.87 inference(avatar_component_clause,[],[f71])). 12.14/1.87 tff(f98,plain,( 12.14/1.87 ~spl6_6 | spl6_7 | spl6_2), 12.14/1.87 inference(avatar_split_clause,[],[f90,f71,f96,f93])). 12.14/1.87 tff(f90,plain,( 12.14/1.87 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | spl6_2), 12.14/1.87 inference(resolution,[],[f72,f53])). 12.14/1.87 tff(f89,plain,( 12.14/1.87 spl6_5 | ~spl6_4 | spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f78,f68,f83,f87])). 12.14/1.87 tff(f78,plain,( 12.14/1.87 ~model_max(sK0,sK1,sK2) | $less(sK5(sK0,sK1,sK2),sK2) | spl6_1), 12.14/1.87 inference(resolution,[],[f69,f64])). 12.14/1.87 tff(f85,plain,( 12.14/1.87 spl6_3 | ~spl6_4 | spl6_1), 12.14/1.87 inference(avatar_split_clause,[],[f77,f68,f83,f80])). 12.14/1.87 tff(f76,plain,( 12.14/1.87 spl6_1 | spl6_2), 12.14/1.87 inference(avatar_split_clause,[],[f45,f71,f68])). 12.14/1.87 tff(f45,plain,( 12.14/1.87 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 12.14/1.87 inference(cnf_transformation,[],[f26])). 12.14/1.87 tff(f26,plain,( 12.14/1.87 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 12.14/1.87 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25])). 12.14/1.87 tff(f25,plain,( 12.14/1.87 ? [X0 : $int,X1 : $int,X2 : $int] : ((~minsol_model_ub(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | minsol_model_max(X0,X1,X2))) => ((~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)))), 12.14/1.87 introduced(choice_axiom,[])). 12.14/1.87 tff(f24,plain,( 12.14/1.87 ? [X0 : $int,X1 : $int,X2 : $int] : ((~minsol_model_ub(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) & (minsol_model_ub(X0,X1,X2) | minsol_model_max(X0,X1,X2)))), 12.14/1.87 inference(nnf_transformation,[],[f21])). 12.14/1.87 tff(f21,plain,( 12.14/1.87 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 12.14/1.87 inference(ennf_transformation,[],[f19])). 12.14/1.87 tff(f19,plain,( 12.14/1.87 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 12.14/1.87 inference(rectify,[],[f6])). 12.14/1.87 tff(f6,negated_conjecture,( 12.14/1.87 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 12.14/1.87 inference(negated_conjecture,[],[f5])). 12.14/1.87 tff(f5,conjecture,( 12.14/1.87 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 12.14/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 12.14/1.87 tff(f73,plain,( 12.14/1.87 ~spl6_1 | ~spl6_2), 12.14/1.87 inference(avatar_split_clause,[],[f46,f71,f68])). 12.14/1.87 tff(f46,plain,( 12.14/1.87 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 12.14/1.87 inference(cnf_transformation,[],[f26])). 12.14/1.87 % SZS output end Proof for theBenchmark 12.14/1.87 % (31424)------------------------------ 12.14/1.87 % (31424)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.14/1.87 % (31424)Termination reason: Refutation 12.14/1.87 12.14/1.87 % (31424)Memory used [KB]: 7036 12.14/1.87 % (31424)Time elapsed: 1.499 s 12.14/1.87 % (31424)------------------------------ 12.14/1.87 % (31424)------------------------------ 12.14/1.87 % (31395)Success in time 1.556 s 12.14/1.87 EOF