0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 07:36:21 EDT 2020 0.12/0.33 % CPUTime : 0.20/0.49 % (4240)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 0.20/0.50 % (4256)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 0.20/0.50 % (4248)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 0.20/0.50 % (4251)WARNING: option uwaf not known. 0.20/0.51 % (4237)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 0.20/0.51 % (4234)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 0.20/0.51 % (4243)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 0.20/0.51 % (4251)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 0.20/0.51 % (4259)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 0.20/0.51 % (4251)Refutation not found, incomplete strategy% (4251)------------------------------ 0.20/0.51 % (4251)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.51 % (4245)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 0.20/0.51 % (4244)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 0.20/0.52 % (4254)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 0.20/0.52 % (4251)Termination reason: Refutation not found, incomplete strategy 0.20/0.52 0.20/0.52 % (4251)Memory used [KB]: 1663 0.20/0.52 % (4251)Time elapsed: 0.117 s 0.20/0.52 % (4255)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 0.20/0.52 % (4251)------------------------------ 0.20/0.52 % (4251)------------------------------ 0.20/0.52 % (4239)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 0.20/0.52 % (4235)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 0.20/0.52 % (4246)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 0.20/0.53 % (4247)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 0.20/0.53 % (4257)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 0.20/0.53 % (4262)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 0.20/0.53 % (4233)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 0.20/0.53 % (4262)Refutation not found, incomplete strategy% (4262)------------------------------ 0.20/0.53 % (4262)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.53 % (4262)Termination reason: Refutation not found, incomplete strategy 0.20/0.53 0.20/0.53 % (4262)Memory used [KB]: 10490 0.20/0.53 % (4262)Time elapsed: 0.130 s 0.20/0.53 % (4262)------------------------------ 0.20/0.53 % (4262)------------------------------ 0.20/0.53 % (4252)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 0.20/0.53 % (4250)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 0.20/0.53 % (4238)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 0.20/0.54 % (4242)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 0.20/0.54 % (4261)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 0.20/0.54 % (4249)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.20/0.54 % (4236)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 0.20/0.54 % (4258)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 0.20/0.54 % (4241)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 0.20/0.54 % (4253)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 0.20/0.55 % (4260)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 0.20/0.58 % (4252)Refutation not found, incomplete strategy% (4252)------------------------------ 0.20/0.58 % (4252)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.58 % (4252)Termination reason: Refutation not found, incomplete strategy 0.20/0.58 0.20/0.58 % (4252)Memory used [KB]: 6268 0.20/0.58 % (4252)Time elapsed: 0.173 s 0.20/0.58 % (4252)------------------------------ 0.20/0.58 % (4252)------------------------------ 2.10/0.64 % (4263)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 2.10/0.67 % (4264)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 2.10/0.67 % (4256)Refutation not found, incomplete strategy% (4256)------------------------------ 2.10/0.67 % (4256)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.10/0.67 % (4250)Refutation not found, incomplete strategy% (4250)------------------------------ 2.10/0.67 % (4250)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.10/0.67 % (4250)Termination reason: Refutation not found, incomplete strategy 2.10/0.67 2.10/0.67 % (4250)Memory used [KB]: 6012 2.10/0.67 % (4250)Time elapsed: 0.259 s 2.10/0.67 % (4250)------------------------------ 2.10/0.67 % (4250)------------------------------ 2.10/0.68 % (4256)Termination reason: Refutation not found, incomplete strategy 2.10/0.68 2.10/0.68 % (4256)Memory used [KB]: 6012 2.10/0.68 % (4256)Time elapsed: 0.273 s 2.10/0.68 % (4256)------------------------------ 2.10/0.68 % (4256)------------------------------ 2.74/0.76 % (4265)WARNING: option uwaf not known. 2.74/0.76 % (4265)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 3.29/0.79 % (4266)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 3.29/0.82 % (4267)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 4.07/0.90 % (4254)Time limit reached! 4.07/0.90 % (4254)------------------------------ 4.07/0.90 % (4254)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.07/0.90 % (4254)Termination reason: Time limit 4.07/0.90 4.07/0.90 % (4254)Memory used [KB]: 14967 4.07/0.90 % (4254)Time elapsed: 0.515 s 4.07/0.90 % (4254)------------------------------ 4.07/0.90 % (4254)------------------------------ 4.38/0.93 % (4243)Time limit reached! 4.38/0.93 % (4243)------------------------------ 4.38/0.93 % (4243)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.38/0.93 % (4243)Termination reason: Time limit 4.38/0.93 % (4243)Termination phase: Saturation 4.38/0.93 4.38/0.93 % (4243)Memory used [KB]: 6012 4.38/0.93 % (4243)Time elapsed: 0.500 s 4.38/0.93 % (4243)------------------------------ 4.38/0.93 % (4243)------------------------------ 4.99/1.01 % (4249)Time limit reached! 4.99/1.01 % (4249)------------------------------ 4.99/1.01 % (4249)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.99/1.01 % (4249)Termination reason: Time limit 4.99/1.01 4.99/1.01 % (4249)Memory used [KB]: 7164 4.99/1.01 % (4249)Time elapsed: 0.620 s 4.99/1.01 % (4249)------------------------------ 4.99/1.01 % (4249)------------------------------ 4.99/1.01 % (4259)Time limit reached! 4.99/1.01 % (4259)------------------------------ 4.99/1.01 % (4259)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.99/1.01 % (4259)Termination reason: Time limit 4.99/1.01 4.99/1.01 % (4259)Memory used [KB]: 13304 4.99/1.01 % (4259)Time elapsed: 0.618 s 4.99/1.01 % (4259)------------------------------ 4.99/1.01 % (4259)------------------------------ 4.99/1.03 % (4239)Time limit reached! 4.99/1.03 % (4239)------------------------------ 4.99/1.03 % (4239)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.99/1.03 % (4239)Termination reason: Time limit 4.99/1.03 % (4239)Termination phase: Saturation 4.99/1.03 4.99/1.03 % (4239)Memory used [KB]: 7419 4.99/1.03 % (4239)Time elapsed: 0.600 s 4.99/1.03 % (4239)------------------------------ 4.99/1.03 % (4239)------------------------------ 4.99/1.06 % (4268)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 4.99/1.06 % (4268)Refutation not found, incomplete strategy% (4268)------------------------------ 4.99/1.06 % (4268)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.99/1.06 % (4268)Termination reason: Refutation not found, incomplete strategy 4.99/1.06 4.99/1.06 % (4268)Memory used [KB]: 1535 4.99/1.06 % (4268)Time elapsed: 0.138 s 4.99/1.06 % (4268)------------------------------ 4.99/1.06 % (4268)------------------------------ 4.99/1.07 % (4269)lrs+1011_7_aac=none:add=large:afr=on:afp=40000:afq=1.4:bd=off:bs=on:bsr=on:fsr=off:inw=on:lma=on:nm=64:nwc=2:nicw=on:sas=z3:stl=60:sos=all:sp=reverse_arity:tha=off:updr=off:uhcvi=on_541 on theBenchmark 6.63/1.22 % (4260)Time limit reached! 6.63/1.22 % (4260)------------------------------ 6.63/1.22 % (4260)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.63/1.22 % (4260)Termination reason: Time limit 6.63/1.22 6.63/1.22 % (4260)Memory used [KB]: 7419 6.63/1.22 % (4260)Time elapsed: 0.822 s 6.63/1.22 % (4260)------------------------------ 6.63/1.22 % (4260)------------------------------ 7.46/1.30 % (4245)Time limit reached! 7.46/1.30 % (4245)------------------------------ 7.46/1.30 % (4245)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.46/1.30 % (4245)Termination reason: Time limit 7.46/1.30 7.46/1.30 % (4245)Memory used [KB]: 7036 7.46/1.30 % (4245)Time elapsed: 0.903 s 7.46/1.30 % (4245)------------------------------ 7.46/1.30 % (4245)------------------------------ 7.46/1.32 % (4253)Time limit reached! 7.46/1.32 % (4253)------------------------------ 7.46/1.32 % (4253)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.46/1.32 % (4253)Termination reason: Time limit 7.46/1.32 7.46/1.32 % (4253)Memory used [KB]: 7036 7.46/1.32 % (4253)Time elapsed: 0.922 s 7.46/1.32 % (4253)------------------------------ 7.46/1.32 % (4253)------------------------------ 7.46/1.32 % (4261)Refutation found. Thanks to Tanya! 7.46/1.32 % SZS status Theorem for theBenchmark 7.46/1.32 % SZS output start Proof for theBenchmark 7.46/1.32 tff(func_def_0, type, c: $int). 7.46/1.32 tff(func_def_1, type, summation: $int > $int). 7.46/1.32 tff(func_def_2, type, max: ($int * $int) > $int). 7.46/1.32 tff(func_def_4, type, sK0: $int). 7.46/1.32 tff(func_def_5, type, sK1: $int). 7.46/1.32 tff(func_def_6, type, sK2: $int). 7.46/1.32 tff(func_def_7, type, sK3: ($int * $int * $int) > $int). 7.46/1.32 tff(func_def_8, type, sK4: ($int * $int * $int) > $int). 7.46/1.32 tff(func_def_9, type, sK5: ($int * $int * $int) > $int). 7.46/1.32 tff(pred_def_1, type, ub: ($int * $int * $int) > $o). 7.46/1.32 tff(pred_def_2, type, model_max: ($int * $int * $int) > $o). 7.46/1.32 tff(pred_def_3, type, model_ub: ($int * $int * $int) > $o). 7.46/1.32 tff(pred_def_4, type, minsol_model_max: ($int * $int * $int) > $o). 7.46/1.32 tff(pred_def_5, type, minsol_model_ub: ($int * $int * $int) > $o). 7.46/1.32 tff(f1964,plain,( 7.46/1.32 $false), 7.46/1.32 inference(avatar_sat_refutation,[],[f73,f76,f85,f89,f98,f102,f106,f112,f118,f127,f131,f143,f152,f161,f169,f178,f182,f183,f199,f203,f207,f214,f221,f222,f223,f236,f257,f259,f269,f273,f274,f275,f276,f325,f329,f333,f343,f353,f368,f398,f402,f403,f415,f419,f423,f433,f437,f441,f454,f475,f479,f483,f496,f497,f526,f530,f534,f545,f546,f560,f570,f602,f606,f609,f610,f611,f612,f627,f631,f638,f642,f643,f644,f645,f646,f659,f666,f670,f672,f704,f725,f726,f741,f748,f752,f761,f779,f783,f787,f796,f800,f804,f813,f817,f821,f830,f834,f838,f850,f851,f862,f873,f877,f886,f890,f894,f903,f907,f911,f921,f948,f952,f998,f1020,f1038,f1042,f1061,f1068,f1078,f1093,f1100,f1119,f1123,f1127,f1131,f1135,f1150,f1171,f1175,f1179,f1195,f1199,f1221,f1225,f1250,f1257,f1258,f1266,f1270,f1307,f1311,f1312,f1322,f1326,f1330,f1342,f1343,f1352,f1367,f1371,f1375,f1387,f1388,f1404,f1418,f1427,f1438,f1448,f1452,f1456,f1466,f1470,f1474,f1484,f1488,f1492,f1514,f1518,f1543,f1547,f1554,f1561,f1565,f1603,f1607,f1629,f1633,f1671,f1678,f1680,f1690,f1694,f1698,f1711,f1715,f1719,f1723,f1727,f1728,f1729,f1730,f1732,f1749,f1771,f1775,f1795,f1799,f1803,f1805,f1826,f1830,f1834,f1860,f1864,f1868,f1875,f1877,f1890,f1916,f1919,f1920,f1921,f1925,f1930,f1934,f1938,f1942,f1943,f1944,f1948,f1949,f1950,f1951,f1952,f1953,f1954,f1955,f1956,f1957,f1959,f1960,f1962,f1963])). 7.46/1.32 tff(f1963,plain,( 7.46/1.32 ~spl6_3 | ~spl6_9), 7.46/1.32 inference(avatar_split_clause,[],[f248,f116,f80])). 7.46/1.32 tff(f80,plain,( 7.46/1.32 spl6_3 <=> model_max(sK0,sK1,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 7.46/1.32 tff(f116,plain,( 7.46/1.32 spl6_9 <=> $less(sK2,$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 7.46/1.32 tff(f248,plain,( 7.46/1.32 ~model_max(sK0,sK1,sK2) | ~spl6_9), 7.46/1.32 inference(resolution,[],[f117,f59])). 7.46/1.32 tff(f59,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,max(X0,X1))) | ~model_max(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f38])). 7.46/1.32 tff(f38,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_max(X0,X1,X2) | $less(X2,$sum(c,max(X0,X1)))) & (~$less(X2,$sum(c,max(X0,X1))) | ~model_max(X0,X1,X2)))), 7.46/1.32 inference(nnf_transformation,[],[f16])). 7.46/1.32 tff(f16,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (model_max(X0,X1,X2) <=> ~$less(X2,$sum(c,max(X0,X1))))), 7.46/1.32 inference(theory_normalization,[],[f1])). 7.46/1.32 tff(f1,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (model_max(X0,X1,X2) <=> $lesseq($sum(c,max(X0,X1)),X2))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_4)). 7.46/1.32 tff(f117,plain,( 7.46/1.32 $less(sK2,$sum(c,max(sK0,sK1))) | ~spl6_9), 7.46/1.32 inference(avatar_component_clause,[],[f116])). 7.46/1.32 tff(f1962,plain,( 7.46/1.32 spl6_22 | spl6_23 | ~spl6_9), 7.46/1.32 inference(avatar_split_clause,[],[f255,f116,f219,f216])). 7.46/1.32 tff(f216,plain,( 7.46/1.32 spl6_22 <=> $less(sK0,sK1)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 7.46/1.32 tff(f219,plain,( 7.46/1.32 spl6_23 <=> $less(sK2,$sum(c,sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])). 7.46/1.32 tff(f255,plain,( 7.46/1.32 $less(sK2,$sum(c,sK0)) | $less(sK0,sK1) | ~spl6_9), 7.46/1.32 inference(superposition,[],[f117,f47])). 7.46/1.32 tff(f47,plain,( 7.46/1.32 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 7.46/1.32 inference(cnf_transformation,[],[f11])). 7.46/1.32 tff(f11,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 7.46/1.32 inference(theory_normalization,[],[f7])). 7.46/1.32 tff(f7,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | ~$lesseq(X1,X0))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1)). 7.46/1.32 tff(f1960,plain,( 7.46/1.32 ~spl6_4 | ~spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1681,f657,f83])). 7.46/1.32 tff(f83,plain,( 7.46/1.32 spl6_4 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 7.46/1.32 tff(f657,plain,( 7.46/1.32 spl6_62 <=> $less(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 7.46/1.32 tff(f1681,plain,( 7.46/1.32 ~model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_62), 7.46/1.32 inference(resolution,[],[f1060,f59])). 7.46/1.32 tff(f1060,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | ~spl6_62), 7.46/1.32 inference(avatar_component_clause,[],[f657])). 7.46/1.32 tff(f1959,plain,( 7.46/1.32 spl6_22 | spl6_200 | ~spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1688,f657,f1932,f216])). 7.46/1.32 tff(f1932,plain,( 7.46/1.32 spl6_200 <=> $less(sK4(sK0,sK1,sK2),$sum(c,sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_200])])). 7.46/1.32 tff(f1688,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),$sum(c,sK0)) | $less(sK0,sK1) | ~spl6_62), 7.46/1.32 inference(superposition,[],[f1060,f47])). 7.46/1.32 tff(f1957,plain,( 7.46/1.32 spl6_45 | spl6_46 | ~spl6_19), 7.46/1.32 inference(avatar_split_clause,[],[f500,f205,f494,f491])). 7.46/1.32 tff(f491,plain,( 7.46/1.32 spl6_45 <=> $less($sum(c,max(sK0,sK1)),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])). 7.46/1.32 tff(f494,plain,( 7.46/1.32 spl6_46 <=> sK2 = $sum(c,max(sK0,sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 7.46/1.32 tff(f205,plain,( 7.46/1.32 spl6_19 <=> sK2 = max(sK2,$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 7.46/1.32 tff(f500,plain,( 7.46/1.32 sK2 = $sum(c,max(sK0,sK1)) | $less($sum(c,max(sK0,sK1)),sK2) | ~spl6_19), 7.46/1.32 inference(superposition,[],[f206,f48])). 7.46/1.32 tff(f48,plain,( 7.46/1.32 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | $less(X1,X0)) )), 7.46/1.32 inference(cnf_transformation,[],[f12])). 7.46/1.32 tff(f12,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 7.46/1.32 inference(theory_normalization,[],[f2])). 7.46/1.32 tff(f2,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | ~$lesseq(X0,X1))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2)). 7.46/1.32 tff(f206,plain,( 7.46/1.32 sK2 = max(sK2,$sum(c,max(sK0,sK1))) | ~spl6_19), 7.46/1.32 inference(avatar_component_clause,[],[f205])). 7.46/1.32 tff(f1956,plain,( 7.46/1.32 spl6_45 | spl6_46 | ~spl6_19), 7.46/1.32 inference(avatar_split_clause,[],[f503,f205,f494,f491])). 7.46/1.32 tff(f503,plain,( 7.46/1.32 sK2 = $sum(c,max(sK0,sK1)) | $less($sum(c,max(sK0,sK1)),sK2) | ~spl6_19), 7.46/1.32 inference(superposition,[],[f48,f206])). 7.46/1.32 tff(f1955,plain,( 7.46/1.32 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.32 inference(avatar_split_clause,[],[f647,f68,f83,f80])). 7.46/1.32 tff(f68,plain,( 7.46/1.32 spl6_1 <=> minsol_model_max(sK0,sK1,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 7.46/1.32 tff(f647,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(resolution,[],[f69,f57])). 7.46/1.32 tff(f57,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | model_max(X0,X1,sK4(X0,X1,X2)) | ~model_max(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f37])). 7.46/1.32 tff(f37,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ($less(sK4(X0,X1,X2),X2) & model_max(X0,X1,sK4(X0,X1,X2))) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 7.46/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36])). 7.46/1.32 tff(f36,plain,( 7.46/1.32 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) => ($less(sK4(X0,X1,X2),X2) & model_max(X0,X1,sK4(X0,X1,X2))))), 7.46/1.32 introduced(choice_axiom,[])). 7.46/1.32 tff(f35,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X4 : $int] : (~$less(X4,X2) | ~model_max(X0,X1,X4)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 7.46/1.32 inference(rectify,[],[f34])). 7.46/1.32 tff(f34,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | ? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2)) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 7.46/1.32 inference(flattening,[],[f33])). 7.46/1.32 tff(f33,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((minsol_model_max(X0,X1,X2) | (? [X3 : $int] : ($less(X3,X2) & model_max(X0,X1,X3)) | ~model_max(X0,X1,X2))) & ((! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)) | ~minsol_model_max(X0,X1,X2)))), 7.46/1.32 inference(nnf_transformation,[],[f23])). 7.46/1.32 tff(f23,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (~$less(X3,X2) | ~model_max(X0,X1,X3)) & model_max(X0,X1,X2)))), 7.46/1.32 inference(ennf_transformation,[],[f15])). 7.46/1.32 tff(f15,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => ~$less(X3,X2)) & model_max(X0,X1,X2)))), 7.46/1.32 inference(theory_normalization,[],[f8])). 7.46/1.32 tff(f8,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> (! [X3 : $int] : (model_max(X0,X1,X3) => $lesseq(X2,X3)) & model_max(X0,X1,X2)))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max)). 7.46/1.32 tff(f69,plain,( 7.46/1.32 ~minsol_model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(avatar_component_clause,[],[f68])). 7.46/1.32 tff(f1954,plain,( 7.46/1.32 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.32 inference(avatar_split_clause,[],[f224,f68,f83,f80])). 7.46/1.32 tff(f224,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(resolution,[],[f69,f57])). 7.46/1.32 tff(f1953,plain,( 7.46/1.32 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.32 inference(avatar_split_clause,[],[f107,f68,f83,f80])). 7.46/1.32 tff(f107,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(resolution,[],[f69,f57])). 7.46/1.32 tff(f1952,plain,( 7.46/1.32 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.32 inference(avatar_split_clause,[],[f77,f68,f83,f80])). 7.46/1.32 tff(f77,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(resolution,[],[f69,f57])). 7.46/1.32 tff(f1951,plain,( 7.46/1.32 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.32 inference(avatar_split_clause,[],[f1733,f68,f83,f80])). 7.46/1.32 tff(f1733,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.32 inference(resolution,[],[f69,f57])). 7.46/1.32 tff(f1950,plain,( 7.46/1.32 spl6_4 | ~spl6_64), 7.46/1.32 inference(avatar_split_clause,[],[f1761,f664,f83])). 7.46/1.32 tff(f664,plain,( 7.46/1.32 spl6_64 <=> minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 7.46/1.32 tff(f1761,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_64), 7.46/1.32 inference(resolution,[],[f665,f55])). 7.46/1.32 tff(f55,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | ~minsol_model_max(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f37])). 7.46/1.32 tff(f665,plain,( 7.46/1.32 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_64), 7.46/1.32 inference(avatar_component_clause,[],[f664])). 7.46/1.32 tff(f1949,plain,( 7.46/1.32 spl6_20 | ~spl6_54), 7.46/1.32 inference(avatar_split_clause,[],[f1926,f597,f209])). 7.46/1.32 tff(f209,plain,( 7.46/1.32 spl6_20 <=> $less(sK1,sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 7.46/1.32 tff(f597,plain,( 7.46/1.32 spl6_54 <=> $less(max(sK0,sK1),sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 7.46/1.32 tff(f1926,plain,( 7.46/1.32 $less(sK1,sK0) | ~spl6_54), 7.46/1.32 inference(duplicate_literal_removal,[],[f719])). 7.46/1.32 tff(f719,plain,( 7.46/1.32 $less(sK1,sK0) | $less(sK1,sK0) | ~spl6_54), 7.46/1.32 inference(superposition,[],[f598,f48])). 7.46/1.32 tff(f598,plain,( 7.46/1.32 $less(max(sK0,sK1),sK0) | ~spl6_54), 7.46/1.32 inference(avatar_component_clause,[],[f597])). 7.46/1.32 tff(f1948,plain,( 7.46/1.32 spl6_22 | spl6_203 | ~spl6_54), 7.46/1.32 inference(avatar_split_clause,[],[f720,f597,f1946,f216])). 7.46/1.32 tff(f1946,plain,( 7.46/1.32 spl6_203 <=> $less(sK0,sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_203])])). 7.46/1.32 tff(f720,plain,( 7.46/1.32 $less(sK0,sK0) | $less(sK0,sK1) | ~spl6_54), 7.46/1.32 inference(superposition,[],[f598,f47])). 7.46/1.32 tff(f1944,plain,( 7.46/1.32 spl6_20 | ~spl6_54), 7.46/1.32 inference(avatar_split_clause,[],[f721,f597,f209])). 7.46/1.32 tff(f721,plain,( 7.46/1.32 $less(sK1,sK0) | ~spl6_54), 7.46/1.32 inference(duplicate_literal_removal,[],[f719])). 7.46/1.32 tff(f1943,plain,( 7.46/1.32 spl6_22 | ~spl6_24), 7.46/1.32 inference(avatar_split_clause,[],[f445,f234,f216])). 7.46/1.32 tff(f234,plain,( 7.46/1.32 spl6_24 <=> $less(summation(sK0),summation(sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 7.46/1.32 tff(f445,plain,( 7.46/1.32 $less(sK0,sK1) | ~spl6_24), 7.46/1.32 inference(resolution,[],[f235,f49])). 7.46/1.32 tff(f49,plain,( 7.46/1.32 ( ! [X0:$int,X1:$int] : (~$less(summation(X1),summation(X0)) | $less(X1,X0)) )), 7.46/1.32 inference(cnf_transformation,[],[f27])). 7.46/1.32 tff(f27,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int] : ((~$less(X1,X0) | $less(summation(X1),summation(X0))) & (~$less(summation(X1),summation(X0)) | $less(X1,X0)))), 7.46/1.32 inference(nnf_transformation,[],[f13])). 7.46/1.32 tff(f13,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) <=> ~$less(summation(X1),summation(X0)))), 7.46/1.32 inference(theory_normalization,[],[f6])). 7.46/1.32 tff(f6,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) <=> $lesseq(summation(X0),summation(X1)))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone)). 7.46/1.32 tff(f235,plain,( 7.46/1.32 $less(summation(sK0),summation(sK1)) | ~spl6_24), 7.46/1.32 inference(avatar_component_clause,[],[f234])). 7.46/1.32 tff(f1942,plain,( 7.46/1.32 spl6_22 | ~spl6_202 | spl6_68), 7.46/1.32 inference(avatar_split_clause,[],[f866,f739,f1940,f216])). 7.46/1.32 tff(f1940,plain,( 7.46/1.32 spl6_202 <=> minsol_model_ub(sK0,sK1,$sum(c,sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_202])])). 7.46/1.32 tff(f739,plain,( 7.46/1.32 spl6_68 <=> minsol_model_ub(sK0,sK1,$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 7.46/1.32 tff(f866,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,$sum(c,sK0)) | $less(sK0,sK1) | spl6_68), 7.46/1.32 inference(superposition,[],[f740,f47])). 7.46/1.32 tff(f740,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,$sum(c,max(sK0,sK1))) | spl6_68), 7.46/1.32 inference(avatar_component_clause,[],[f739])). 7.46/1.32 tff(f1938,plain,( 7.46/1.32 spl6_22 | spl6_201 | ~spl6_104), 7.46/1.32 inference(avatar_split_clause,[],[f1707,f1066,f1936,f216])). 7.46/1.32 tff(f1936,plain,( 7.46/1.32 spl6_201 <=> $less(sK3(sK0,sK1,sK2),$sum(c,sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_201])])). 7.46/1.32 tff(f1066,plain,( 7.46/1.32 spl6_104 <=> $less(sK3(sK0,sK1,sK2),$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 7.46/1.32 tff(f1707,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),$sum(c,sK0)) | $less(sK0,sK1) | ~spl6_104), 7.46/1.32 inference(superposition,[],[f1067,f47])). 7.46/1.32 tff(f1067,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | ~spl6_104), 7.46/1.32 inference(avatar_component_clause,[],[f1066])). 7.46/1.32 tff(f1934,plain,( 7.46/1.32 spl6_22 | ~spl6_200 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1793,f657,f1932,f216])). 7.46/1.32 tff(f1793,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),$sum(c,sK0)) | $less(sK0,sK1) | spl6_62), 7.46/1.32 inference(superposition,[],[f658,f47])). 7.46/1.32 tff(f658,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | spl6_62), 7.46/1.32 inference(avatar_component_clause,[],[f657])). 7.46/1.32 tff(f1930,plain,( 7.46/1.32 spl6_22 | ~spl6_199 | spl6_174), 7.46/1.32 inference(avatar_split_clause,[],[f1856,f1692,f1928,f216])). 7.46/1.32 tff(f1928,plain,( 7.46/1.32 spl6_199 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,sK0)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_199])])). 7.46/1.32 tff(f1692,plain,( 7.46/1.32 spl6_174 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_174])])). 7.46/1.32 tff(f1856,plain,( 7.46/1.32 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,sK0))) | $less(sK0,sK1) | spl6_174), 7.46/1.32 inference(superposition,[],[f1794,f47])). 7.46/1.32 tff(f1794,plain,( 7.46/1.32 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1)))) | spl6_174), 7.46/1.32 inference(avatar_component_clause,[],[f1692])). 7.46/1.32 tff(f1925,plain,( 7.46/1.32 spl6_198 | ~spl6_5 | ~spl6_2 | ~spl6_4), 7.46/1.32 inference(avatar_split_clause,[],[f1906,f83,f71,f87,f1923])). 7.46/1.32 tff(f1923,plain,( 7.46/1.32 spl6_198 <=> ! [X23 : $int] : ($less(X23,sK1) | ~minsol_model_max(sK0,sK1,$sum(c,X23)) | $less(X23,sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_198])])). 7.46/1.32 tff(f87,plain,( 7.46/1.32 spl6_5 <=> $less(sK4(sK0,sK1,sK2),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 7.46/1.32 tff(f71,plain,( 7.46/1.32 spl6_2 <=> minsol_model_ub(sK0,sK1,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 7.46/1.32 tff(f1906,plain,( 7.46/1.32 ( ! [X23:$int] : (~$less(sK4(sK0,sK1,sK2),sK2) | $less(X23,sK1) | $less(X23,sK0) | ~minsol_model_max(sK0,sK1,$sum(c,X23))) ) | (~spl6_2 | ~spl6_4)), 7.46/1.32 inference(resolution,[],[f1808,f653])). 7.46/1.32 tff(f653,plain,( 7.46/1.32 ( ! [X0:$int] : (~$less(sK4(sK0,sK1,sK2),X0) | ~minsol_model_max(sK0,sK1,X0)) ) | ~spl6_4), 7.46/1.32 inference(resolution,[],[f84,f56])). 7.46/1.32 tff(f56,plain,( 7.46/1.32 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_max(X0,X1,X4) | ~minsol_model_max(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f37])). 7.46/1.32 tff(f84,plain,( 7.46/1.32 model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_4), 7.46/1.32 inference(avatar_component_clause,[],[f83])). 7.46/1.32 tff(f1808,plain,( 7.46/1.32 ( ! [X4:$int,X3:$int] : ($less(X3,$sum(c,X4)) | ~$less(X3,sK2) | $less(X4,sK1) | $less(X4,sK0)) ) | ~spl6_2), 7.46/1.32 inference(resolution,[],[f246,f64])). 7.46/1.32 tff(f64,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,X2) | $less(X2,X1) | $less(X2,X0)) )), 7.46/1.32 inference(cnf_transformation,[],[f44])). 7.46/1.32 tff(f44,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(flattening,[],[f43])). 7.46/1.32 tff(f43,plain,( 7.46/1.32 ! [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))))), 7.46/1.32 inference(nnf_transformation,[],[f20])). 7.46/1.32 tff(f20,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,X1) & ~$less(X2,X0)) <=> ub(X0,X1,X2))), 7.46/1.32 inference(rectify,[],[f18])). 7.46/1.32 tff(f18,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X3 : $int] : ((~$less(X3,X1) & ~$less(X3,X0)) <=> ub(X0,X1,X3))), 7.46/1.32 inference(theory_normalization,[],[f9])). 7.46/1.32 tff(f9,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int,X3 : $int] : (($lesseq(X1,X3) & $lesseq(X0,X3)) <=> ub(X0,X1,X3))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub)). 7.46/1.32 tff(f246,plain,( 7.46/1.32 ( ! [X2:$int,X1:$int] : (~ub(sK0,sK1,X2) | $less(X1,$sum(c,X2)) | ~$less(X1,sK2)) ) | ~spl6_2), 7.46/1.32 inference(resolution,[],[f110,f63])). 7.46/1.32 tff(f63,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (model_ub(X0,X1,X2) | $less(X2,$sum(c,X3)) | ~ub(X0,X1,X3)) )), 7.46/1.32 inference(cnf_transformation,[],[f42])). 7.46/1.32 tff(f42,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : ($less(X2,$sum(c,X3)) | ~ub(X0,X1,X3))) & ((~$less(X2,$sum(c,sK5(X0,X1,X2))) & ub(X0,X1,sK5(X0,X1,X2))) | ~model_ub(X0,X1,X2)))), 7.46/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f40,f41])). 7.46/1.32 tff(f41,plain,( 7.46/1.32 ! [X2 : $int,X1 : $int,X0 : $int] : (? [X4 : $int] : (~$less(X2,$sum(c,X4)) & ub(X0,X1,X4)) => (~$less(X2,$sum(c,sK5(X0,X1,X2))) & ub(X0,X1,sK5(X0,X1,X2))))), 7.46/1.32 introduced(choice_axiom,[])). 7.46/1.32 tff(f40,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : ($less(X2,$sum(c,X3)) | ~ub(X0,X1,X3))) & (? [X4 : $int] : (~$less(X2,$sum(c,X4)) & ub(X0,X1,X4)) | ~model_ub(X0,X1,X2)))), 7.46/1.32 inference(rectify,[],[f39])). 7.46/1.32 tff(f39,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : ((model_ub(X0,X1,X2) | ! [X3 : $int] : ($less(X2,$sum(c,X3)) | ~ub(X0,X1,X3))) & (? [X3 : $int] : (~$less(X2,$sum(c,X3)) & ub(X0,X1,X3)) | ~model_ub(X0,X1,X2)))), 7.46/1.32 inference(nnf_transformation,[],[f17])). 7.46/1.32 tff(f17,plain,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : (~$less(X2,$sum(c,X3)) & ub(X0,X1,X3)))), 7.46/1.32 inference(theory_normalization,[],[f10])). 7.46/1.32 tff(f10,axiom,( 7.46/1.32 ! [X0 : $int,X1 : $int,X2 : $int] : (model_ub(X0,X1,X2) <=> ? [X3 : $int] : ($lesseq($sum(c,X3),X2) & ub(X0,X1,X3)))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_4)). 7.46/1.32 tff(f110,plain,( 7.46/1.32 ( ! [X0:$int] : (~model_ub(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_2), 7.46/1.32 inference(resolution,[],[f75,f52])). 7.46/1.32 tff(f52,plain,( 7.46/1.32 ( ! [X4:$int,X2:$int,X0:$int,X1:$int] : (~$less(X4,X2) | ~model_ub(X0,X1,X4) | ~minsol_model_ub(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f32])). 7.46/1.32 tff(f32,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f30,f31])). 7.46/1.32 tff(f31,plain,( 7.46/1.32 ! [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))))), 7.46/1.32 introduced(choice_axiom,[])). 7.46/1.32 tff(f30,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(rectify,[],[f29])). 7.46/1.32 tff(f29,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(flattening,[],[f28])). 7.46/1.32 tff(f28,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(nnf_transformation,[],[f22])). 7.46/1.32 tff(f22,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(ennf_transformation,[],[f14])). 7.46/1.32 tff(f14,plain,( 7.46/1.32 ! [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)))), 7.46/1.32 inference(theory_normalization,[],[f5])). 7.46/1.32 tff(f5,axiom,( 7.46/1.32 ! [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)))), 7.46/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub)). 7.46/1.32 tff(f75,plain,( 7.46/1.32 minsol_model_ub(sK0,sK1,sK2) | ~spl6_2), 7.46/1.32 inference(avatar_component_clause,[],[f71])). 7.46/1.32 tff(f1921,plain,( 7.46/1.32 spl6_20 | spl6_56 | ~spl6_5 | ~spl6_2 | spl6_175), 7.46/1.32 inference(avatar_split_clause,[],[f1905,f1696,f71,f87,f604,f209])). 7.46/1.32 tff(f604,plain,( 7.46/1.32 spl6_56 <=> $less(sK1,sK1)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 7.46/1.32 tff(f1696,plain,( 7.46/1.32 spl6_175 <=> $less(sK4(sK0,sK1,sK2),$sum(c,sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_175])])). 7.46/1.32 tff(f1905,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(sK1,sK1) | $less(sK1,sK0) | (~spl6_2 | spl6_175)), 7.46/1.32 inference(resolution,[],[f1808,f1804])). 7.46/1.32 tff(f1804,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),$sum(c,sK1)) | spl6_175), 7.46/1.32 inference(avatar_component_clause,[],[f1696])). 7.46/1.32 tff(f1920,plain,( 7.46/1.32 spl6_54 | spl6_55 | ~spl6_5 | ~spl6_2 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1904,f657,f71,f87,f600,f597])). 7.46/1.32 tff(f600,plain,( 7.46/1.32 spl6_55 <=> $less(max(sK0,sK1),sK1)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_55])])). 7.46/1.32 tff(f1904,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),sK2) | $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (~spl6_2 | spl6_62)), 7.46/1.32 inference(resolution,[],[f1808,f658])). 7.46/1.32 tff(f1919,plain,( 7.46/1.32 spl6_69 | spl6_70 | ~spl6_8 | ~spl6_2 | spl6_58), 7.46/1.32 inference(avatar_split_clause,[],[f1903,f629,f71,f100,f750,f746])). 7.46/1.32 tff(f746,plain,( 7.46/1.32 spl6_69 <=> $less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_69])])). 7.46/1.32 tff(f750,plain,( 7.46/1.32 spl6_70 <=> $less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 7.46/1.32 tff(f100,plain,( 7.46/1.32 spl6_8 <=> $less(sK3(sK0,sK1,sK2),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 7.46/1.32 tff(f629,plain,( 7.46/1.32 spl6_58 <=> $less(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])). 7.46/1.32 tff(f1903,plain,( 7.46/1.32 ~$less(sK3(sK0,sK1,sK2),sK2) | $less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | $less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | (~spl6_2 | spl6_58)), 7.46/1.32 inference(resolution,[],[f1808,f630])). 7.46/1.32 tff(f630,plain,( 7.46/1.32 ~$less(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | spl6_58), 7.46/1.32 inference(avatar_component_clause,[],[f629])). 7.46/1.32 tff(f1916,plain,( 7.46/1.32 spl6_195 | spl6_196 | spl6_197 | ~spl6_2 | ~spl6_16), 7.46/1.32 inference(avatar_split_clause,[],[f1893,f180,f71,f1914,f1911,f1908])). 7.46/1.32 tff(f1908,plain,( 7.46/1.32 spl6_195 <=> $less(sK2,sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_195])])). 7.46/1.32 tff(f1911,plain,( 7.46/1.32 spl6_196 <=> $less(sK2,sK1)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_196])])). 7.46/1.32 tff(f1914,plain,( 7.46/1.32 spl6_197 <=> ! [X6 : $int] : (~$less(X6,sK2) | ~model_max(sK2,sK2,X6))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_197])])). 7.46/1.32 tff(f180,plain,( 7.46/1.32 spl6_16 <=> sK2 = max(sK2,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 7.46/1.32 tff(f1893,plain,( 7.46/1.32 ( ! [X6:$int] : (~$less(X6,sK2) | $less(sK2,sK1) | $less(sK2,sK0) | ~model_max(sK2,sK2,X6)) ) | (~spl6_2 | ~spl6_16)), 7.46/1.32 inference(resolution,[],[f1808,f404])). 7.46/1.32 tff(f404,plain,( 7.46/1.32 ( ! [X0:$int] : (~$less(X0,$sum(c,sK2)) | ~model_max(sK2,sK2,X0)) ) | ~spl6_16), 7.46/1.32 inference(superposition,[],[f59,f181])). 7.46/1.32 tff(f181,plain,( 7.46/1.32 sK2 = max(sK2,sK2) | ~spl6_16), 7.46/1.32 inference(avatar_component_clause,[],[f180])). 7.46/1.32 tff(f1890,plain,( 7.46/1.32 ~spl6_5 | ~spl6_194 | ~spl6_2 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1884,f657,f71,f1888,f87])). 7.46/1.32 tff(f1888,plain,( 7.46/1.32 spl6_194 <=> ub(sK0,sK1,max(sK0,sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_194])])). 7.46/1.32 tff(f1884,plain,( 7.46/1.32 ~ub(sK0,sK1,max(sK0,sK1)) | ~$less(sK4(sK0,sK1,sK2),sK2) | (~spl6_2 | spl6_62)), 7.46/1.32 inference(resolution,[],[f1786,f110])). 7.46/1.32 tff(f1786,plain,( 7.46/1.32 ( ! [X0:$int,X1:$int] : (model_ub(X0,X1,sK4(sK0,sK1,sK2)) | ~ub(X0,X1,max(sK0,sK1))) ) | spl6_62), 7.46/1.32 inference(resolution,[],[f658,f63])). 7.46/1.32 tff(f1877,plain,( 7.46/1.32 spl6_193 | ~spl6_16 | spl6_182), 7.46/1.32 inference(avatar_split_clause,[],[f1876,f1766,f180,f1873])). 7.46/1.32 tff(f1873,plain,( 7.46/1.32 spl6_193 <=> $less(summation(sK2),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_193])])). 7.46/1.32 tff(f1766,plain,( 7.46/1.32 spl6_182 <=> model_max(sK2,sK2,summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_182])])). 7.46/1.32 tff(f1876,plain,( 7.46/1.32 $less(summation(sK2),$sum(c,sK2)) | (~spl6_16 | spl6_182)), 7.46/1.32 inference(forward_demodulation,[],[f1870,f181])). 7.46/1.32 tff(f1870,plain,( 7.46/1.32 $less(summation(sK2),$sum(c,max(sK2,sK2))) | spl6_182), 7.46/1.32 inference(resolution,[],[f1767,f60])). 7.46/1.32 tff(f60,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (model_max(X0,X1,X2) | $less(X2,$sum(c,max(X0,X1)))) )), 7.46/1.32 inference(cnf_transformation,[],[f38])). 7.46/1.32 tff(f1767,plain,( 7.46/1.32 ~model_max(sK2,sK2,summation(sK2)) | spl6_182), 7.46/1.32 inference(avatar_component_clause,[],[f1766])). 7.46/1.32 tff(f1875,plain,( 7.46/1.32 spl6_193 | ~spl6_16 | spl6_182), 7.46/1.32 inference(avatar_split_clause,[],[f1869,f1766,f180,f1873])). 7.46/1.32 tff(f1869,plain,( 7.46/1.32 $less(summation(sK2),$sum(c,sK2)) | (~spl6_16 | spl6_182)), 7.46/1.32 inference(resolution,[],[f1767,f405])). 7.46/1.32 tff(f405,plain,( 7.46/1.32 ( ! [X1:$int] : (model_max(sK2,sK2,X1) | $less(X1,$sum(c,sK2))) ) | ~spl6_16), 7.46/1.32 inference(superposition,[],[f60,f181])). 7.46/1.32 tff(f1868,plain,( 7.46/1.32 spl6_192 | spl6_174), 7.46/1.32 inference(avatar_split_clause,[],[f1854,f1692,f1866])). 7.46/1.32 tff(f1866,plain,( 7.46/1.32 spl6_192 <=> summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_192])])). 7.46/1.32 tff(f1854,plain,( 7.46/1.32 summation(sK4(sK0,sK1,sK2)) = max(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1)))) | spl6_174), 7.46/1.32 inference(resolution,[],[f1794,f47])). 7.46/1.32 tff(f1864,plain,( 7.46/1.32 spl6_191 | spl6_174), 7.46/1.32 inference(avatar_split_clause,[],[f1853,f1692,f1862])). 7.46/1.32 tff(f1862,plain,( 7.46/1.32 spl6_191 <=> summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,max(sK0,sK1))),summation(sK4(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_191])])). 7.46/1.32 tff(f1853,plain,( 7.46/1.32 summation(sK4(sK0,sK1,sK2)) = max(summation($sum(c,max(sK0,sK1))),summation(sK4(sK0,sK1,sK2))) | spl6_174), 7.46/1.32 inference(resolution,[],[f1794,f48])). 7.46/1.32 tff(f1860,plain,( 7.46/1.32 ~spl6_190 | spl6_174), 7.46/1.32 inference(avatar_split_clause,[],[f1852,f1692,f1858])). 7.46/1.32 tff(f1858,plain,( 7.46/1.32 spl6_190 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,max(sK0,sK1)))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_190])])). 7.46/1.32 tff(f1852,plain,( 7.46/1.32 ~$less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation($sum(c,max(sK0,sK1))))) | spl6_174), 7.46/1.32 inference(resolution,[],[f1794,f49])). 7.46/1.32 tff(f1834,plain,( 7.46/1.32 spl6_189 | spl6_175), 7.46/1.32 inference(avatar_split_clause,[],[f1822,f1696,f1832])). 7.46/1.32 tff(f1832,plain,( 7.46/1.32 spl6_189 <=> sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),$sum(c,sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_189])])). 7.46/1.32 tff(f1822,plain,( 7.46/1.32 sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),$sum(c,sK1)) | spl6_175), 7.46/1.32 inference(resolution,[],[f1804,f47])). 7.46/1.32 tff(f1830,plain,( 7.46/1.32 spl6_188 | spl6_175), 7.46/1.32 inference(avatar_split_clause,[],[f1821,f1696,f1828])). 7.46/1.32 tff(f1828,plain,( 7.46/1.32 spl6_188 <=> sK4(sK0,sK1,sK2) = max($sum(c,sK1),sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_188])])). 7.46/1.32 tff(f1821,plain,( 7.46/1.32 sK4(sK0,sK1,sK2) = max($sum(c,sK1),sK4(sK0,sK1,sK2)) | spl6_175), 7.46/1.32 inference(resolution,[],[f1804,f48])). 7.46/1.32 tff(f1826,plain,( 7.46/1.32 ~spl6_187 | spl6_175), 7.46/1.32 inference(avatar_split_clause,[],[f1820,f1696,f1824])). 7.46/1.32 tff(f1824,plain,( 7.46/1.32 spl6_187 <=> $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_187])])). 7.46/1.32 tff(f1820,plain,( 7.46/1.32 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,sK1))) | spl6_175), 7.46/1.32 inference(resolution,[],[f1804,f49])). 7.46/1.32 tff(f1805,plain,( 7.46/1.32 spl6_20 | ~spl6_175 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1792,f657,f1696,f209])). 7.46/1.32 tff(f1792,plain,( 7.46/1.32 ~$less(sK4(sK0,sK1,sK2),$sum(c,sK1)) | $less(sK1,sK0) | spl6_62), 7.46/1.32 inference(superposition,[],[f658,f48])). 7.46/1.32 tff(f1803,plain,( 7.46/1.32 spl6_186 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1791,f657,f1801])). 7.46/1.32 tff(f1801,plain,( 7.46/1.32 spl6_186 <=> sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_186])])). 7.46/1.32 tff(f1791,plain,( 7.46/1.32 sK4(sK0,sK1,sK2) = max(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | spl6_62), 7.46/1.32 inference(resolution,[],[f658,f47])). 7.46/1.32 tff(f1799,plain,( 7.46/1.32 spl6_185 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1790,f657,f1797])). 7.46/1.32 tff(f1797,plain,( 7.46/1.32 spl6_185 <=> sK4(sK0,sK1,sK2) = max($sum(c,max(sK0,sK1)),sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_185])])). 7.46/1.32 tff(f1790,plain,( 7.46/1.32 sK4(sK0,sK1,sK2) = max($sum(c,max(sK0,sK1)),sK4(sK0,sK1,sK2)) | spl6_62), 7.46/1.32 inference(resolution,[],[f658,f48])). 7.46/1.32 tff(f1795,plain,( 7.46/1.32 ~spl6_174 | spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1789,f657,f1692])). 7.46/1.32 tff(f1789,plain,( 7.46/1.32 ~$less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1)))) | spl6_62), 7.46/1.32 inference(resolution,[],[f658,f49])). 7.46/1.32 tff(f1775,plain,( 7.46/1.32 ~spl6_182 | spl6_184 | spl6_158), 7.46/1.32 inference(avatar_split_clause,[],[f1764,f1538,f1773,f1766])). 7.46/1.32 tff(f1773,plain,( 7.46/1.32 spl6_184 <=> $less(sK4(sK2,sK2,summation(sK2)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_184])])). 7.46/1.32 tff(f1538,plain,( 7.46/1.32 spl6_158 <=> minsol_model_max(sK2,sK2,summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_158])])). 7.46/1.32 tff(f1764,plain,( 7.46/1.32 $less(sK4(sK2,sK2,summation(sK2)),summation(sK2)) | ~model_max(sK2,sK2,summation(sK2)) | spl6_158), 7.46/1.32 inference(resolution,[],[f1539,f58])). 7.46/1.32 tff(f58,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_max(X0,X1,X2) | $less(sK4(X0,X1,X2),X2) | ~model_max(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f37])). 7.46/1.32 tff(f1539,plain,( 7.46/1.32 ~minsol_model_max(sK2,sK2,summation(sK2)) | spl6_158), 7.46/1.32 inference(avatar_component_clause,[],[f1538])). 7.46/1.32 tff(f1771,plain,( 7.46/1.32 ~spl6_182 | spl6_183 | spl6_158), 7.46/1.32 inference(avatar_split_clause,[],[f1763,f1538,f1769,f1766])). 7.46/1.32 tff(f1769,plain,( 7.46/1.32 spl6_183 <=> model_max(sK2,sK2,sK4(sK2,sK2,summation(sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_183])])). 7.46/1.32 tff(f1763,plain,( 7.46/1.32 model_max(sK2,sK2,sK4(sK2,sK2,summation(sK2))) | ~model_max(sK2,sK2,summation(sK2)) | spl6_158), 7.46/1.32 inference(resolution,[],[f1539,f57])). 7.46/1.32 tff(f1749,plain,( 7.46/1.32 ~spl6_181 | spl6_65 | ~spl6_3 | ~spl6_4), 7.46/1.32 inference(avatar_split_clause,[],[f1740,f83,f80,f668,f1747])). 7.46/1.32 tff(f1747,plain,( 7.46/1.32 spl6_181 <=> $less(sK2,sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_181])])). 7.46/1.32 tff(f668,plain,( 7.46/1.32 spl6_65 <=> $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_65])])). 7.46/1.32 tff(f1740,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~$less(sK2,sK4(sK0,sK1,sK2)) | (~spl6_3 | ~spl6_4)), 7.46/1.32 inference(resolution,[],[f84,f186])). 7.46/1.32 tff(f186,plain,( 7.46/1.32 ( ! [X1:$int] : (~model_max(sK0,sK1,X1) | $less(sK4(sK0,sK1,X1),X1) | ~$less(sK2,X1)) ) | ~spl6_3), 7.46/1.32 inference(resolution,[],[f139,f58])). 7.46/1.32 tff(f139,plain,( 7.46/1.32 ( ! [X0:$int] : (~minsol_model_max(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_3), 7.46/1.32 inference(resolution,[],[f105,f56])). 7.46/1.32 tff(f105,plain,( 7.46/1.32 model_max(sK0,sK1,sK2) | ~spl6_3), 7.46/1.32 inference(avatar_component_clause,[],[f80])). 7.46/1.32 tff(f1732,plain,( 7.46/1.32 ~spl6_7 | spl6_60 | spl6_59), 7.46/1.32 inference(avatar_split_clause,[],[f1665,f633,f636,f96])). 7.46/1.32 tff(f96,plain,( 7.46/1.32 spl6_7 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 7.46/1.32 tff(f636,plain,( 7.46/1.32 spl6_60 <=> minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 7.46/1.32 tff(f633,plain,( 7.46/1.32 spl6_59 <=> model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])). 7.46/1.32 tff(f1665,plain,( 7.46/1.32 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | spl6_59), 7.46/1.32 inference(resolution,[],[f920,f53])). 7.46/1.32 tff(f53,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | model_ub(X0,X1,sK3(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f32])). 7.46/1.32 tff(f920,plain,( 7.46/1.32 ~model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_59), 7.46/1.32 inference(avatar_component_clause,[],[f633])). 7.46/1.32 tff(f1730,plain,( 7.46/1.32 ~spl6_1 | ~spl6_4 | ~spl6_5), 7.46/1.32 inference(avatar_split_clause,[],[f651,f87,f83,f68])). 7.46/1.32 tff(f651,plain,( 7.46/1.32 ~minsol_model_max(sK0,sK1,sK2) | (~spl6_4 | ~spl6_5)), 7.46/1.32 inference(resolution,[],[f84,f146])). 7.46/1.32 tff(f146,plain,( 7.46/1.32 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK4(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_5), 7.46/1.32 inference(resolution,[],[f88,f56])). 7.46/1.32 tff(f88,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),sK2) | ~spl6_5), 7.46/1.32 inference(avatar_component_clause,[],[f87])). 7.46/1.32 tff(f1729,plain,( 7.46/1.32 spl6_7 | ~spl6_60), 7.46/1.32 inference(avatar_split_clause,[],[f699,f636,f96])). 7.46/1.32 tff(f699,plain,( 7.46/1.32 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_60), 7.46/1.32 inference(resolution,[],[f637,f51])). 7.46/1.32 tff(f51,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (model_ub(X0,X1,X2) | ~minsol_model_ub(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f32])). 7.46/1.32 tff(f637,plain,( 7.46/1.32 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_60), 7.46/1.32 inference(avatar_component_clause,[],[f636])). 7.46/1.32 tff(f1728,plain,( 7.46/1.32 ~spl6_2 | ~spl6_8 | ~spl6_60), 7.46/1.32 inference(avatar_split_clause,[],[f959,f636,f100,f71])). 7.46/1.32 tff(f959,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_8 | ~spl6_60)), 7.46/1.32 inference(resolution,[],[f380,f637])). 7.46/1.32 tff(f380,plain,( 7.46/1.32 ( ! [X4:$int,X3:$int] : (~minsol_model_ub(X3,X4,sK3(sK0,sK1,sK2)) | ~minsol_model_ub(X3,X4,sK2)) ) | ~spl6_8), 7.46/1.32 inference(resolution,[],[f156,f51])). 7.46/1.32 tff(f156,plain,( 7.46/1.32 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK3(sK0,sK1,sK2)) | ~minsol_model_ub(X4,X5,sK2)) ) | ~spl6_8), 7.46/1.32 inference(resolution,[],[f101,f52])). 7.46/1.32 tff(f101,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),sK2) | ~spl6_8), 7.46/1.32 inference(avatar_component_clause,[],[f100])). 7.46/1.32 tff(f1727,plain,( 7.46/1.32 ~spl6_2 | spl6_180 | ~spl6_5 | ~spl6_10), 7.46/1.32 inference(avatar_split_clause,[],[f965,f125,f87,f1725,f71])). 7.46/1.32 tff(f1725,plain,( 7.46/1.32 spl6_180 <=> $less(sK4(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_180])])). 7.46/1.32 tff(f125,plain,( 7.46/1.32 spl6_10 <=> ub(sK0,sK1,sK5(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 7.46/1.32 tff(f965,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK2))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_5 | ~spl6_10)), 7.46/1.32 inference(resolution,[],[f265,f147])). 7.46/1.32 tff(f147,plain,( 7.46/1.32 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK4(sK0,sK1,sK2)) | ~minsol_model_ub(X4,X5,sK2)) ) | ~spl6_5), 7.46/1.32 inference(resolution,[],[f88,f52])). 7.46/1.32 tff(f265,plain,( 7.46/1.32 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,sK5(sK0,sK1,sK2)))) ) | ~spl6_10), 7.46/1.32 inference(resolution,[],[f126,f63])). 7.46/1.32 tff(f126,plain,( 7.46/1.32 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_10), 7.46/1.32 inference(avatar_component_clause,[],[f125])). 7.46/1.32 tff(f1723,plain,( 7.46/1.32 ~spl6_2 | spl6_179 | ~spl6_8 | ~spl6_10), 7.46/1.32 inference(avatar_split_clause,[],[f966,f125,f100,f1721,f71])). 7.46/1.32 tff(f1721,plain,( 7.46/1.32 spl6_179 <=> $less(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_179])])). 7.46/1.32 tff(f966,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK2))) | ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_8 | ~spl6_10)), 7.46/1.32 inference(resolution,[],[f265,f156])). 7.46/1.32 tff(f1719,plain,( 7.46/1.32 spl6_20 | spl6_178 | ~spl6_104), 7.46/1.32 inference(avatar_split_clause,[],[f1706,f1066,f1717,f209])). 7.46/1.32 tff(f1717,plain,( 7.46/1.32 spl6_178 <=> $less(sK3(sK0,sK1,sK2),$sum(c,sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_178])])). 7.46/1.32 tff(f1706,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),$sum(c,sK1)) | $less(sK1,sK0) | ~spl6_104), 7.46/1.32 inference(superposition,[],[f1067,f48])). 7.46/1.32 tff(f1715,plain,( 7.46/1.32 spl6_177 | ~spl6_104), 7.46/1.32 inference(avatar_split_clause,[],[f1705,f1066,f1713])). 7.46/1.32 tff(f1713,plain,( 7.46/1.32 spl6_177 <=> $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_177])])). 7.46/1.32 tff(f1705,plain,( 7.46/1.32 $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1)))) | ~spl6_104), 7.46/1.32 inference(resolution,[],[f1067,f50])). 7.46/1.32 tff(f50,plain,( 7.46/1.32 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(summation(X1),summation(X0))) )), 7.46/1.32 inference(cnf_transformation,[],[f27])). 7.46/1.32 tff(f1711,plain,( 7.46/1.32 ~spl6_176 | ~spl6_104), 7.46/1.32 inference(avatar_split_clause,[],[f1700,f1066,f1709])). 7.46/1.32 tff(f1709,plain,( 7.46/1.32 spl6_176 <=> model_max(sK0,sK1,sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_176])])). 7.46/1.32 tff(f1700,plain,( 7.46/1.32 ~model_max(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_104), 7.46/1.32 inference(resolution,[],[f1067,f59])). 7.46/1.32 tff(f1698,plain,( 7.46/1.32 spl6_20 | spl6_175 | ~spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1687,f657,f1696,f209])). 7.46/1.32 tff(f1687,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),$sum(c,sK1)) | $less(sK1,sK0) | ~spl6_62), 7.46/1.32 inference(superposition,[],[f1060,f48])). 7.46/1.32 tff(f1694,plain,( 7.46/1.32 spl6_174 | ~spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1686,f657,f1692])). 7.46/1.32 tff(f1686,plain,( 7.46/1.32 $less(summation(sK4(sK0,sK1,sK2)),summation($sum(c,max(sK0,sK1)))) | ~spl6_62), 7.46/1.32 inference(resolution,[],[f1060,f50])). 7.46/1.32 tff(f1690,plain,( 7.46/1.32 ~spl6_4 | ~spl6_62), 7.46/1.32 inference(avatar_split_clause,[],[f1681,f657,f83])). 7.46/1.32 tff(f1680,plain,( 7.46/1.32 spl6_173 | ~spl6_16 | spl6_166), 7.46/1.32 inference(avatar_split_clause,[],[f1679,f1598,f180,f1676])). 7.46/1.32 tff(f1676,plain,( 7.46/1.32 spl6_173 <=> $less(sK2,$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_173])])). 7.46/1.32 tff(f1598,plain,( 7.46/1.32 spl6_166 <=> model_max(sK2,sK2,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])). 7.46/1.32 tff(f1679,plain,( 7.46/1.32 $less(sK2,$sum(c,sK2)) | (~spl6_16 | spl6_166)), 7.46/1.32 inference(forward_demodulation,[],[f1673,f181])). 7.46/1.32 tff(f1673,plain,( 7.46/1.32 $less(sK2,$sum(c,max(sK2,sK2))) | spl6_166), 7.46/1.32 inference(resolution,[],[f1599,f60])). 7.46/1.32 tff(f1599,plain,( 7.46/1.32 ~model_max(sK2,sK2,sK2) | spl6_166), 7.46/1.32 inference(avatar_component_clause,[],[f1598])). 7.46/1.32 tff(f1678,plain,( 7.46/1.32 spl6_173 | ~spl6_16 | spl6_166), 7.46/1.32 inference(avatar_split_clause,[],[f1672,f1598,f180,f1676])). 7.46/1.32 tff(f1672,plain,( 7.46/1.32 $less(sK2,$sum(c,sK2)) | (~spl6_16 | spl6_166)), 7.46/1.32 inference(resolution,[],[f1599,f405])). 7.46/1.32 tff(f1671,plain,( 7.46/1.32 ~spl6_172 | spl6_59), 7.46/1.32 inference(avatar_split_clause,[],[f1667,f633,f1669])). 7.46/1.32 tff(f1669,plain,( 7.46/1.32 spl6_172 <=> minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_172])])). 7.46/1.32 tff(f1667,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_59), 7.46/1.32 inference(resolution,[],[f920,f51])). 7.46/1.32 tff(f1633,plain,( 7.46/1.32 ~spl6_169 | spl6_171 | spl6_126), 7.46/1.32 inference(avatar_split_clause,[],[f1622,f1255,f1631,f1624])). 7.46/1.32 tff(f1624,plain,( 7.46/1.32 spl6_169 <=> model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_169])])). 7.46/1.32 tff(f1631,plain,( 7.46/1.32 spl6_171 <=> $less(sK3(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))),$sum(c,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_171])])). 7.46/1.32 tff(f1255,plain,( 7.46/1.32 spl6_126 <=> minsol_model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_126])])). 7.46/1.32 tff(f1622,plain,( 7.46/1.32 $less(sK3(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))),$sum(c,sK3(sK0,sK1,sK2))) | ~model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))) | spl6_126), 7.46/1.32 inference(resolution,[],[f1256,f54])). 7.46/1.32 tff(f54,plain,( 7.46/1.32 ( ! [X2:$int,X0:$int,X1:$int] : (minsol_model_ub(X0,X1,X2) | $less(sK3(X0,X1,X2),X2) | ~model_ub(X0,X1,X2)) )), 7.46/1.32 inference(cnf_transformation,[],[f32])). 7.46/1.32 tff(f1256,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))) | spl6_126), 7.46/1.32 inference(avatar_component_clause,[],[f1255])). 7.46/1.32 tff(f1629,plain,( 7.46/1.32 ~spl6_169 | spl6_170 | spl6_126), 7.46/1.32 inference(avatar_split_clause,[],[f1621,f1255,f1627,f1624])). 7.46/1.32 tff(f1627,plain,( 7.46/1.32 spl6_170 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_170])])). 7.46/1.32 tff(f1621,plain,( 7.46/1.32 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2)))) | ~model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))) | spl6_126), 7.46/1.32 inference(resolution,[],[f1256,f53])). 7.46/1.32 tff(f1607,plain,( 7.46/1.32 ~spl6_166 | spl6_168 | spl6_161), 7.46/1.32 inference(avatar_split_clause,[],[f1596,f1549,f1605,f1598])). 7.46/1.32 tff(f1605,plain,( 7.46/1.32 spl6_168 <=> $less(sK4(sK2,sK2,sK2),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_168])])). 7.46/1.32 tff(f1549,plain,( 7.46/1.32 spl6_161 <=> minsol_model_max(sK2,sK2,sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_161])])). 7.46/1.32 tff(f1596,plain,( 7.46/1.32 $less(sK4(sK2,sK2,sK2),sK2) | ~model_max(sK2,sK2,sK2) | spl6_161), 7.46/1.32 inference(resolution,[],[f1550,f58])). 7.46/1.32 tff(f1550,plain,( 7.46/1.32 ~minsol_model_max(sK2,sK2,sK2) | spl6_161), 7.46/1.32 inference(avatar_component_clause,[],[f1549])). 7.46/1.32 tff(f1603,plain,( 7.46/1.32 ~spl6_166 | spl6_167 | spl6_161), 7.46/1.32 inference(avatar_split_clause,[],[f1595,f1549,f1601,f1598])). 7.46/1.32 tff(f1601,plain,( 7.46/1.32 spl6_167 <=> model_max(sK2,sK2,sK4(sK2,sK2,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_167])])). 7.46/1.32 tff(f1595,plain,( 7.46/1.32 model_max(sK2,sK2,sK4(sK2,sK2,sK2)) | ~model_max(sK2,sK2,sK2) | spl6_161), 7.46/1.32 inference(resolution,[],[f1550,f57])). 7.46/1.32 tff(f1565,plain,( 7.46/1.32 ~spl6_161 | spl6_165 | ~spl6_5 | ~spl6_16), 7.46/1.32 inference(avatar_split_clause,[],[f1535,f180,f87,f1563,f1549])). 7.46/1.32 tff(f1563,plain,( 7.46/1.32 spl6_165 <=> $less(sK4(sK0,sK1,sK2),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_165])])). 7.46/1.32 tff(f1535,plain,( 7.46/1.32 $less(sK4(sK0,sK1,sK2),$sum(c,sK2)) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_5 | ~spl6_16)), 7.46/1.32 inference(resolution,[],[f405,f146])). 7.46/1.32 tff(f1561,plain,( 7.46/1.32 ~spl6_163 | spl6_164 | ~spl6_16 | ~spl6_61), 7.46/1.32 inference(avatar_split_clause,[],[f1534,f640,f180,f1559,f1556])). 7.46/1.32 tff(f1556,plain,( 7.46/1.32 spl6_163 <=> minsol_model_max(sK2,sK2,sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_163])])). 7.46/1.32 tff(f1559,plain,( 7.46/1.32 spl6_164 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_164])])). 7.46/1.32 tff(f640,plain,( 7.46/1.32 spl6_61 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_61])])). 7.46/1.32 tff(f1534,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK2)) | ~minsol_model_max(sK2,sK2,sK3(sK0,sK1,sK2)) | (~spl6_16 | ~spl6_61)), 7.46/1.32 inference(resolution,[],[f405,f755])). 7.46/1.32 tff(f755,plain,( 7.46/1.32 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,sK3(sK0,sK1,sK2))) ) | ~spl6_61), 7.46/1.32 inference(resolution,[],[f641,f56])). 7.46/1.32 tff(f641,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_61), 7.46/1.32 inference(avatar_component_clause,[],[f640])). 7.46/1.32 tff(f1554,plain,( 7.46/1.32 ~spl6_161 | spl6_162 | ~spl6_8 | ~spl6_16), 7.46/1.32 inference(avatar_split_clause,[],[f1533,f180,f100,f1552,f1549])). 7.46/1.32 tff(f1552,plain,( 7.46/1.32 spl6_162 <=> $less(sK3(sK0,sK1,sK2),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_162])])). 7.46/1.32 tff(f1533,plain,( 7.46/1.32 $less(sK3(sK0,sK1,sK2),$sum(c,sK2)) | ~minsol_model_max(sK2,sK2,sK2) | (~spl6_8 | ~spl6_16)), 7.46/1.32 inference(resolution,[],[f405,f155])). 7.46/1.32 tff(f155,plain,( 7.46/1.32 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,sK3(sK0,sK1,sK2)) | ~minsol_model_max(X2,X3,sK2)) ) | ~spl6_8), 7.46/1.32 inference(resolution,[],[f101,f56])). 7.46/1.32 tff(f1547,plain,( 7.46/1.32 ~spl6_158 | spl6_160 | ~spl6_13 | ~spl6_16), 7.46/1.32 inference(avatar_split_clause,[],[f1532,f180,f159,f1545,f1538])). 7.46/1.32 tff(f1545,plain,( 7.46/1.32 spl6_160 <=> $less(summation(sK3(sK0,sK1,sK2)),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_160])])). 7.46/1.32 tff(f159,plain,( 7.46/1.32 spl6_13 <=> $less(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 7.46/1.32 tff(f1532,plain,( 7.46/1.32 $less(summation(sK3(sK0,sK1,sK2)),$sum(c,sK2)) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_13 | ~spl6_16)), 7.46/1.32 inference(resolution,[],[f405,f347])). 7.46/1.32 tff(f347,plain,( 7.46/1.32 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK3(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_13), 7.46/1.32 inference(resolution,[],[f160,f56])). 7.46/1.32 tff(f160,plain,( 7.46/1.32 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_13), 7.46/1.32 inference(avatar_component_clause,[],[f159])). 7.46/1.32 tff(f1543,plain,( 7.46/1.32 ~spl6_158 | spl6_159 | ~spl6_12 | ~spl6_16), 7.46/1.32 inference(avatar_split_clause,[],[f1531,f180,f150,f1541,f1538])). 7.46/1.32 tff(f1541,plain,( 7.46/1.32 spl6_159 <=> $less(summation(sK4(sK0,sK1,sK2)),$sum(c,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_159])])). 7.46/1.32 tff(f150,plain,( 7.46/1.32 spl6_12 <=> $less(summation(sK4(sK0,sK1,sK2)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 7.46/1.32 tff(f1531,plain,( 7.46/1.32 $less(summation(sK4(sK0,sK1,sK2)),$sum(c,sK2)) | ~minsol_model_max(sK2,sK2,summation(sK2)) | (~spl6_12 | ~spl6_16)), 7.46/1.32 inference(resolution,[],[f405,f337])). 7.46/1.32 tff(f337,plain,( 7.46/1.32 ( ! [X2:$int,X3:$int] : (~model_max(X2,X3,summation(sK4(sK0,sK1,sK2))) | ~minsol_model_max(X2,X3,summation(sK2))) ) | ~spl6_12), 7.46/1.32 inference(resolution,[],[f151,f56])). 7.46/1.32 tff(f151,plain,( 7.46/1.32 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_12), 7.46/1.32 inference(avatar_component_clause,[],[f150])). 7.46/1.32 tff(f1518,plain,( 7.46/1.32 spl6_157 | ~spl6_10 | spl6_86), 7.46/1.32 inference(avatar_split_clause,[],[f1506,f868,f125,f1516])). 7.46/1.32 tff(f1516,plain,( 7.46/1.32 spl6_157 <=> $less($sum(c,max(sK0,sK1)),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_157])])). 7.46/1.32 tff(f868,plain,( 7.46/1.32 spl6_86 <=> model_ub(sK0,sK1,$sum(c,max(sK0,sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])). 7.46/1.32 tff(f1506,plain,( 7.46/1.32 $less($sum(c,max(sK0,sK1)),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | spl6_86)), 7.46/1.32 inference(resolution,[],[f869,f265])). 7.46/1.32 tff(f869,plain,( 7.46/1.32 ~model_ub(sK0,sK1,$sum(c,max(sK0,sK1))) | spl6_86), 7.46/1.32 inference(avatar_component_clause,[],[f868])). 7.46/1.32 tff(f1514,plain,( 7.46/1.32 spl6_156 | ~spl6_57 | spl6_86), 7.46/1.32 inference(avatar_split_clause,[],[f1505,f868,f625,f1512])). 7.46/1.32 tff(f1512,plain,( 7.46/1.32 spl6_156 <=> $less($sum(c,max(sK0,sK1)),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_156])])). 7.46/1.32 tff(f625,plain,( 7.46/1.32 spl6_57 <=> ub(sK0,sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_57])])). 7.46/1.32 tff(f1505,plain,( 7.46/1.32 $less($sum(c,max(sK0,sK1)),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_57 | spl6_86)), 7.46/1.32 inference(resolution,[],[f869,f744])). 7.46/1.32 tff(f744,plain,( 7.46/1.32 ( ! [X0:$int] : (model_ub(sK0,sK1,X0) | $less(X0,$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) ) | ~spl6_57), 7.46/1.32 inference(resolution,[],[f626,f63])). 7.46/1.32 tff(f626,plain,( 7.46/1.32 ub(sK0,sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_57), 7.46/1.32 inference(avatar_component_clause,[],[f625])). 7.46/1.32 tff(f1492,plain,( 7.46/1.32 spl6_155 | spl6_81), 7.46/1.32 inference(avatar_split_clause,[],[f1480,f828,f1490])). 7.46/1.32 tff(f1490,plain,( 7.46/1.32 spl6_155 <=> summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_155])])). 7.46/1.32 tff(f828,plain,( 7.46/1.32 spl6_81 <=> $less(summation(sK2),summation(sK3(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])). 7.46/1.32 tff(f1480,plain,( 7.46/1.32 summation(sK2) = max(summation(sK2),summation(sK3(sK0,sK1,sK2))) | spl6_81), 7.46/1.32 inference(resolution,[],[f829,f47])). 7.46/1.32 tff(f829,plain,( 7.46/1.32 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | spl6_81), 7.46/1.32 inference(avatar_component_clause,[],[f828])). 7.46/1.32 tff(f1488,plain,( 7.46/1.32 spl6_154 | spl6_81), 7.46/1.32 inference(avatar_split_clause,[],[f1479,f828,f1486])). 7.46/1.32 tff(f1486,plain,( 7.46/1.32 spl6_154 <=> summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_154])])). 7.46/1.32 tff(f1479,plain,( 7.46/1.32 summation(sK2) = max(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | spl6_81), 7.46/1.32 inference(resolution,[],[f829,f48])). 7.46/1.32 tff(f1484,plain,( 7.46/1.32 ~spl6_153 | spl6_81), 7.46/1.32 inference(avatar_split_clause,[],[f1478,f828,f1482])). 7.46/1.32 tff(f1482,plain,( 7.46/1.32 spl6_153 <=> $less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_153])])). 7.46/1.32 tff(f1478,plain,( 7.46/1.32 ~$less(summation(summation(sK2)),summation(summation(sK3(sK0,sK1,sK2)))) | spl6_81), 7.46/1.32 inference(resolution,[],[f829,f49])). 7.46/1.32 tff(f1474,plain,( 7.46/1.32 spl6_152 | spl6_78), 7.46/1.32 inference(avatar_split_clause,[],[f1462,f811,f1472])). 7.46/1.32 tff(f1472,plain,( 7.46/1.32 spl6_152 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_152])])). 7.46/1.32 tff(f811,plain,( 7.46/1.32 spl6_78 <=> $less(summation(sK5(sK0,sK1,sK2)),summation(sK1))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 7.46/1.32 tff(f1462,plain,( 7.46/1.32 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | spl6_78), 7.46/1.32 inference(resolution,[],[f812,f47])). 7.46/1.32 tff(f812,plain,( 7.46/1.32 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | spl6_78), 7.46/1.32 inference(avatar_component_clause,[],[f811])). 7.46/1.32 tff(f1470,plain,( 7.46/1.32 spl6_151 | spl6_78), 7.46/1.32 inference(avatar_split_clause,[],[f1461,f811,f1468])). 7.46/1.32 tff(f1468,plain,( 7.46/1.32 spl6_151 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_151])])). 7.46/1.32 tff(f1461,plain,( 7.46/1.32 summation(sK5(sK0,sK1,sK2)) = max(summation(sK1),summation(sK5(sK0,sK1,sK2))) | spl6_78), 7.46/1.32 inference(resolution,[],[f812,f48])). 7.46/1.32 tff(f1466,plain,( 7.46/1.32 ~spl6_150 | spl6_78), 7.46/1.32 inference(avatar_split_clause,[],[f1460,f811,f1464])). 7.46/1.32 tff(f1464,plain,( 7.46/1.32 spl6_150 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_150])])). 7.46/1.32 tff(f1460,plain,( 7.46/1.32 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK1))) | spl6_78), 7.46/1.32 inference(resolution,[],[f812,f49])). 7.46/1.32 tff(f1456,plain,( 7.46/1.32 spl6_149 | spl6_75), 7.46/1.32 inference(avatar_split_clause,[],[f1444,f794,f1454])). 7.46/1.32 tff(f1454,plain,( 7.46/1.32 spl6_149 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_149])])). 7.46/1.32 tff(f794,plain,( 7.46/1.32 spl6_75 <=> $less(summation(sK5(sK0,sK1,sK2)),summation(sK0))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_75])])). 7.46/1.32 tff(f1444,plain,( 7.46/1.32 summation(sK5(sK0,sK1,sK2)) = max(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | spl6_75), 7.46/1.32 inference(resolution,[],[f795,f47])). 7.46/1.32 tff(f795,plain,( 7.46/1.32 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | spl6_75), 7.46/1.32 inference(avatar_component_clause,[],[f794])). 7.46/1.32 tff(f1452,plain,( 7.46/1.32 spl6_148 | spl6_75), 7.46/1.32 inference(avatar_split_clause,[],[f1443,f794,f1450])). 7.46/1.32 tff(f1450,plain,( 7.46/1.32 spl6_148 <=> summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_148])])). 7.46/1.32 tff(f1443,plain,( 7.46/1.32 summation(sK5(sK0,sK1,sK2)) = max(summation(sK0),summation(sK5(sK0,sK1,sK2))) | spl6_75), 7.46/1.32 inference(resolution,[],[f795,f48])). 7.46/1.32 tff(f1448,plain,( 7.46/1.32 ~spl6_147 | spl6_75), 7.46/1.32 inference(avatar_split_clause,[],[f1442,f794,f1446])). 7.46/1.32 tff(f1446,plain,( 7.46/1.32 spl6_147 <=> $less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_147])])). 7.46/1.32 tff(f1442,plain,( 7.46/1.32 ~$less(summation(summation(sK5(sK0,sK1,sK2))),summation(summation(sK0))) | spl6_75), 7.46/1.32 inference(resolution,[],[f795,f49])). 7.46/1.32 tff(f1438,plain,( 7.46/1.32 spl6_146 | ~spl6_50), 7.46/1.32 inference(avatar_split_clause,[],[f1434,f540,f1436])). 7.46/1.32 tff(f1436,plain,( 7.46/1.32 spl6_146 <=> $less(summation($sum(c,sK5(sK0,sK1,sK2))),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_146])])). 7.46/1.32 tff(f540,plain,( 7.46/1.32 spl6_50 <=> $less($sum(c,sK5(sK0,sK1,sK2)),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])). 7.46/1.32 tff(f1434,plain,( 7.46/1.32 $less(summation($sum(c,sK5(sK0,sK1,sK2))),summation(sK2)) | ~spl6_50), 7.46/1.32 inference(resolution,[],[f541,f50])). 7.46/1.32 tff(f541,plain,( 7.46/1.32 $less($sum(c,sK5(sK0,sK1,sK2)),sK2) | ~spl6_50), 7.46/1.32 inference(avatar_component_clause,[],[f540])). 7.46/1.32 tff(f1427,plain,( 7.46/1.32 spl6_145 | ~spl6_140), 7.46/1.32 inference(avatar_split_clause,[],[f1423,f1382,f1425])). 7.46/1.32 tff(f1425,plain,( 7.46/1.32 spl6_145 <=> $less(summation($sum(c,sK0)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_145])])). 7.46/1.32 tff(f1382,plain,( 7.46/1.32 spl6_140 <=> $less($sum(c,sK0),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_140])])). 7.46/1.32 tff(f1423,plain,( 7.46/1.32 $less(summation($sum(c,sK0)),summation(sK2)) | ~spl6_140), 7.46/1.32 inference(resolution,[],[f1383,f50])). 7.46/1.32 tff(f1383,plain,( 7.46/1.32 $less($sum(c,sK0),sK2) | ~spl6_140), 7.46/1.32 inference(avatar_component_clause,[],[f1382])). 7.46/1.32 tff(f1418,plain,( 7.46/1.32 spl6_143 | ~spl6_144 | ~spl6_7 | ~spl6_34), 7.46/1.32 inference(avatar_split_clause,[],[f1409,f400,f96,f1416,f1413])). 7.46/1.32 tff(f1413,plain,( 7.46/1.32 spl6_143 <=> model_max(summation(sK2),summation(sK2),sK3(sK0,sK1,sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_143])])). 7.46/1.32 tff(f1416,plain,( 7.46/1.32 spl6_144 <=> minsol_model_ub(sK0,sK1,$sum(c,summation(sK2)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_144])])). 7.46/1.32 tff(f400,plain,( 7.46/1.32 spl6_34 <=> summation(sK2) = max(summation(sK2),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 7.46/1.32 tff(f1409,plain,( 7.46/1.32 ~minsol_model_ub(sK0,sK1,$sum(c,summation(sK2))) | model_max(summation(sK2),summation(sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_34)), 7.46/1.32 inference(superposition,[],[f734,f401])). 7.46/1.32 tff(f401,plain,( 7.46/1.32 summation(sK2) = max(summation(sK2),summation(sK2)) | ~spl6_34), 7.46/1.32 inference(avatar_component_clause,[],[f400])). 7.46/1.32 tff(f734,plain,( 7.46/1.32 ( ! [X8:$int,X7:$int] : (~minsol_model_ub(sK0,sK1,$sum(c,max(X7,X8))) | model_max(X7,X8,sK3(sK0,sK1,sK2))) ) | ~spl6_7), 7.46/1.32 inference(resolution,[],[f621,f60])). 7.46/1.32 tff(f621,plain,( 7.46/1.32 ( ! [X0:$int] : (~$less(sK3(sK0,sK1,sK2),X0) | ~minsol_model_ub(sK0,sK1,X0)) ) | ~spl6_7), 7.46/1.32 inference(resolution,[],[f97,f52])). 7.46/1.32 tff(f97,plain,( 7.46/1.32 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_7), 7.46/1.32 inference(avatar_component_clause,[],[f96])). 7.46/1.32 tff(f1404,plain,( 7.46/1.32 spl6_142 | ~spl6_45), 7.46/1.32 inference(avatar_split_clause,[],[f1398,f491,f1402])). 7.46/1.32 tff(f1402,plain,( 7.46/1.32 spl6_142 <=> $less(summation($sum(c,max(sK0,sK1))),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_142])])). 7.46/1.32 tff(f1398,plain,( 7.46/1.32 $less(summation($sum(c,max(sK0,sK1))),summation(sK2)) | ~spl6_45), 7.46/1.32 inference(resolution,[],[f492,f50])). 7.46/1.32 tff(f492,plain,( 7.46/1.32 $less($sum(c,max(sK0,sK1)),sK2) | ~spl6_45), 7.46/1.32 inference(avatar_component_clause,[],[f491])). 7.46/1.32 tff(f1388,plain,( 7.46/1.32 spl6_140 | spl6_141 | ~spl6_39), 7.46/1.32 inference(avatar_split_clause,[],[f1380,f435,f1385,f1382])). 7.46/1.32 tff(f1385,plain,( 7.46/1.32 spl6_141 <=> sK2 = $sum(c,sK0)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_141])])). 7.46/1.32 tff(f435,plain,( 7.46/1.32 spl6_39 <=> sK2 = max($sum(c,sK0),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])). 7.46/1.32 tff(f1380,plain,( 7.46/1.32 sK2 = $sum(c,sK0) | $less($sum(c,sK0),sK2) | ~spl6_39), 7.46/1.32 inference(superposition,[],[f47,f436])). 7.46/1.32 tff(f436,plain,( 7.46/1.32 sK2 = max($sum(c,sK0),sK2) | ~spl6_39), 7.46/1.32 inference(avatar_component_clause,[],[f435])). 7.46/1.32 tff(f1387,plain,( 7.46/1.32 spl6_140 | spl6_141 | ~spl6_39), 7.46/1.32 inference(avatar_split_clause,[],[f1376,f435,f1385,f1382])). 7.46/1.32 tff(f1376,plain,( 7.46/1.32 sK2 = $sum(c,sK0) | $less($sum(c,sK0),sK2) | ~spl6_39), 7.46/1.32 inference(superposition,[],[f436,f47])). 7.46/1.32 tff(f1375,plain,( 7.46/1.32 spl6_139 | spl6_38), 7.46/1.32 inference(avatar_split_clause,[],[f1363,f431,f1373])). 7.46/1.32 tff(f1373,plain,( 7.46/1.32 spl6_139 <=> summation(sK2) = max(summation(sK2),summation($sum(c,sK0)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_139])])). 7.46/1.32 tff(f431,plain,( 7.46/1.32 spl6_38 <=> $less(summation(sK2),summation($sum(c,sK0)))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 7.46/1.32 tff(f1363,plain,( 7.46/1.32 summation(sK2) = max(summation(sK2),summation($sum(c,sK0))) | spl6_38), 7.46/1.32 inference(resolution,[],[f432,f47])). 7.46/1.32 tff(f432,plain,( 7.46/1.32 ~$less(summation(sK2),summation($sum(c,sK0))) | spl6_38), 7.46/1.32 inference(avatar_component_clause,[],[f431])). 7.46/1.32 tff(f1371,plain,( 7.46/1.32 spl6_138 | spl6_38), 7.46/1.32 inference(avatar_split_clause,[],[f1362,f431,f1369])). 7.46/1.32 tff(f1369,plain,( 7.46/1.32 spl6_138 <=> summation(sK2) = max(summation($sum(c,sK0)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_138])])). 7.46/1.32 tff(f1362,plain,( 7.46/1.32 summation(sK2) = max(summation($sum(c,sK0)),summation(sK2)) | spl6_38), 7.46/1.32 inference(resolution,[],[f432,f48])). 7.46/1.32 tff(f1367,plain,( 7.46/1.32 ~spl6_137 | spl6_38), 7.46/1.32 inference(avatar_split_clause,[],[f1361,f431,f1365])). 7.46/1.32 tff(f1365,plain,( 7.46/1.32 spl6_137 <=> $less(summation(summation(sK2)),summation(summation($sum(c,sK0))))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_137])])). 7.46/1.32 tff(f1361,plain,( 7.46/1.32 ~$less(summation(summation(sK2)),summation(summation($sum(c,sK0)))) | spl6_38), 7.46/1.32 inference(resolution,[],[f432,f49])). 7.46/1.32 tff(f1352,plain,( 7.46/1.32 spl6_136 | ~spl6_134), 7.46/1.32 inference(avatar_split_clause,[],[f1348,f1337,f1350])). 7.46/1.32 tff(f1350,plain,( 7.46/1.32 spl6_136 <=> $less(summation($sum(c,sK1)),summation(sK2))), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_136])])). 7.46/1.32 tff(f1337,plain,( 7.46/1.32 spl6_134 <=> $less($sum(c,sK1),sK2)), 7.46/1.32 introduced(avatar_definition,[new_symbols(naming,[spl6_134])])). 7.46/1.32 tff(f1348,plain,( 7.46/1.32 $less(summation($sum(c,sK1)),summation(sK2)) | ~spl6_134), 7.46/1.32 inference(resolution,[],[f1338,f50])). 7.46/1.34 tff(f1338,plain,( 7.46/1.34 $less($sum(c,sK1),sK2) | ~spl6_134), 7.46/1.34 inference(avatar_component_clause,[],[f1337])). 7.46/1.34 tff(f1343,plain,( 7.46/1.34 spl6_134 | spl6_135 | ~spl6_36), 7.46/1.34 inference(avatar_split_clause,[],[f1335,f417,f1340,f1337])). 7.46/1.34 tff(f1340,plain,( 7.46/1.34 spl6_135 <=> sK2 = $sum(c,sK1)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_135])])). 7.46/1.34 tff(f417,plain,( 7.46/1.34 spl6_36 <=> sK2 = max($sum(c,sK1),sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 7.46/1.34 tff(f1335,plain,( 7.46/1.34 sK2 = $sum(c,sK1) | $less($sum(c,sK1),sK2) | ~spl6_36), 7.46/1.34 inference(superposition,[],[f47,f418])). 7.46/1.34 tff(f418,plain,( 7.46/1.34 sK2 = max($sum(c,sK1),sK2) | ~spl6_36), 7.46/1.34 inference(avatar_component_clause,[],[f417])). 7.46/1.34 tff(f1342,plain,( 7.46/1.34 spl6_134 | spl6_135 | ~spl6_36), 7.46/1.34 inference(avatar_split_clause,[],[f1331,f417,f1340,f1337])). 7.46/1.34 tff(f1331,plain,( 7.46/1.34 sK2 = $sum(c,sK1) | $less($sum(c,sK1),sK2) | ~spl6_36), 7.46/1.34 inference(superposition,[],[f418,f47])). 7.46/1.34 tff(f1330,plain,( 7.46/1.34 spl6_133 | spl6_35), 7.46/1.34 inference(avatar_split_clause,[],[f1318,f413,f1328])). 7.46/1.34 tff(f1328,plain,( 7.46/1.34 spl6_133 <=> summation(sK2) = max(summation(sK2),summation($sum(c,sK1)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_133])])). 7.46/1.34 tff(f413,plain,( 7.46/1.34 spl6_35 <=> $less(summation(sK2),summation($sum(c,sK1)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 7.46/1.34 tff(f1318,plain,( 7.46/1.34 summation(sK2) = max(summation(sK2),summation($sum(c,sK1))) | spl6_35), 7.46/1.34 inference(resolution,[],[f414,f47])). 7.46/1.34 tff(f414,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,sK1))) | spl6_35), 7.46/1.34 inference(avatar_component_clause,[],[f413])). 7.46/1.34 tff(f1326,plain,( 7.46/1.34 spl6_132 | spl6_35), 7.46/1.34 inference(avatar_split_clause,[],[f1317,f413,f1324])). 7.46/1.34 tff(f1324,plain,( 7.46/1.34 spl6_132 <=> summation(sK2) = max(summation($sum(c,sK1)),summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_132])])). 7.46/1.34 tff(f1317,plain,( 7.46/1.34 summation(sK2) = max(summation($sum(c,sK1)),summation(sK2)) | spl6_35), 7.46/1.34 inference(resolution,[],[f414,f48])). 7.46/1.34 tff(f1322,plain,( 7.46/1.34 ~spl6_131 | spl6_35), 7.46/1.34 inference(avatar_split_clause,[],[f1316,f413,f1320])). 7.46/1.34 tff(f1320,plain,( 7.46/1.34 spl6_131 <=> $less(summation(summation(sK2)),summation(summation($sum(c,sK1))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_131])])). 7.46/1.34 tff(f1316,plain,( 7.46/1.34 ~$less(summation(summation(sK2)),summation(summation($sum(c,sK1)))) | spl6_35), 7.46/1.34 inference(resolution,[],[f414,f49])). 7.46/1.34 tff(f1312,plain,( 7.46/1.34 spl6_130 | spl6_33), 7.46/1.34 inference(avatar_split_clause,[],[f1303,f396,f1309])). 7.46/1.34 tff(f1309,plain,( 7.46/1.34 spl6_130 <=> summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_130])])). 7.46/1.34 tff(f396,plain,( 7.46/1.34 spl6_33 <=> $less(summation(summation(sK2)),summation(summation(sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])). 7.46/1.34 tff(f1303,plain,( 7.46/1.34 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | spl6_33), 7.46/1.34 inference(resolution,[],[f397,f47])). 7.46/1.34 tff(f397,plain,( 7.46/1.34 ~$less(summation(summation(sK2)),summation(summation(sK2))) | spl6_33), 7.46/1.34 inference(avatar_component_clause,[],[f396])). 7.46/1.34 tff(f1311,plain,( 7.46/1.34 spl6_130 | spl6_33), 7.46/1.34 inference(avatar_split_clause,[],[f1302,f396,f1309])). 7.46/1.34 tff(f1302,plain,( 7.46/1.34 summation(summation(sK2)) = max(summation(summation(sK2)),summation(summation(sK2))) | spl6_33), 7.46/1.34 inference(resolution,[],[f397,f48])). 7.46/1.34 tff(f1307,plain,( 7.46/1.34 ~spl6_129 | spl6_33), 7.46/1.34 inference(avatar_split_clause,[],[f1301,f396,f1305])). 7.46/1.34 tff(f1305,plain,( 7.46/1.34 spl6_129 <=> $less(summation(summation(summation(sK2))),summation(summation(summation(sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_129])])). 7.46/1.34 tff(f1301,plain,( 7.46/1.34 ~$less(summation(summation(summation(sK2))),summation(summation(summation(sK2)))) | spl6_33), 7.46/1.34 inference(resolution,[],[f397,f49])). 7.46/1.34 tff(f1270,plain,( 7.46/1.34 spl6_128 | ~spl6_10 | spl6_118), 7.46/1.34 inference(avatar_split_clause,[],[f1260,f1190,f125,f1268])). 7.46/1.34 tff(f1268,plain,( 7.46/1.34 spl6_128 <=> $less($sum(c,sK2),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_128])])). 7.46/1.34 tff(f1190,plain,( 7.46/1.34 spl6_118 <=> model_ub(sK0,sK1,$sum(c,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])). 7.46/1.34 tff(f1260,plain,( 7.46/1.34 $less($sum(c,sK2),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | spl6_118)), 7.46/1.34 inference(resolution,[],[f1191,f265])). 7.46/1.34 tff(f1191,plain,( 7.46/1.34 ~model_ub(sK0,sK1,$sum(c,sK2)) | spl6_118), 7.46/1.34 inference(avatar_component_clause,[],[f1190])). 7.46/1.34 tff(f1266,plain,( 7.46/1.34 spl6_127 | ~spl6_57 | spl6_118), 7.46/1.34 inference(avatar_split_clause,[],[f1259,f1190,f625,f1264])). 7.46/1.34 tff(f1264,plain,( 7.46/1.34 spl6_127 <=> $less($sum(c,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_127])])). 7.46/1.34 tff(f1259,plain,( 7.46/1.34 $less($sum(c,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_57 | spl6_118)), 7.46/1.34 inference(resolution,[],[f1191,f744])). 7.46/1.34 tff(f1258,plain,( 7.46/1.34 spl6_123 | spl6_124 | ~spl6_73), 7.46/1.34 inference(avatar_split_clause,[],[f1243,f781,f1248,f1245])). 7.46/1.34 tff(f1245,plain,( 7.46/1.34 spl6_123 <=> $less($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_123])])). 7.46/1.34 tff(f1248,plain,( 7.46/1.34 spl6_124 <=> sK3(sK0,sK1,sK2) = $sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_124])])). 7.46/1.34 tff(f781,plain,( 7.46/1.34 spl6_73 <=> sK3(sK0,sK1,sK2) = max($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])). 7.46/1.34 tff(f1243,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = $sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | $less($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | ~spl6_73), 7.46/1.34 inference(superposition,[],[f47,f782])). 7.46/1.34 tff(f782,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = max($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | ~spl6_73), 7.46/1.34 inference(avatar_component_clause,[],[f781])). 7.46/1.34 tff(f1257,plain,( 7.46/1.34 spl6_125 | ~spl6_126 | ~spl6_7 | ~spl6_73), 7.46/1.34 inference(avatar_split_clause,[],[f1240,f781,f96,f1255,f1252])). 7.46/1.34 tff(f1252,plain,( 7.46/1.34 spl6_125 <=> model_max($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_125])])). 7.46/1.34 tff(f1240,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK3(sK0,sK1,sK2))) | model_max($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_73)), 7.46/1.34 inference(superposition,[],[f734,f782])). 7.46/1.34 tff(f1250,plain,( 7.46/1.34 spl6_123 | spl6_124 | ~spl6_73), 7.46/1.34 inference(avatar_split_clause,[],[f1239,f781,f1248,f1245])). 7.46/1.34 tff(f1239,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = $sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | $less($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | ~spl6_73), 7.46/1.34 inference(superposition,[],[f782,f47])). 7.46/1.34 tff(f1225,plain,( 7.46/1.34 spl6_122 | ~spl6_60 | ~spl6_10 | ~spl6_61), 7.46/1.34 inference(avatar_split_clause,[],[f1216,f640,f125,f636,f1223])). 7.46/1.34 tff(f1223,plain,( 7.46/1.34 spl6_122 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_122])])). 7.46/1.34 tff(f1216,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_61)), 7.46/1.34 inference(resolution,[],[f756,f265])). 7.46/1.34 tff(f756,plain,( 7.46/1.34 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~minsol_model_ub(X4,X5,sK3(sK0,sK1,sK2))) ) | ~spl6_61), 7.46/1.34 inference(resolution,[],[f641,f52])). 7.46/1.34 tff(f1221,plain,( 7.46/1.34 spl6_121 | ~spl6_60 | ~spl6_57 | ~spl6_61), 7.46/1.34 inference(avatar_split_clause,[],[f1215,f640,f625,f636,f1218])). 7.46/1.34 tff(f1218,plain,( 7.46/1.34 spl6_121 <=> $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_121])])). 7.46/1.34 tff(f1215,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_57 | ~spl6_61)), 7.46/1.34 inference(resolution,[],[f756,f744])). 7.46/1.34 tff(f1199,plain,( 7.46/1.34 ~spl6_118 | spl6_120 | spl6_109), 7.46/1.34 inference(avatar_split_clause,[],[f1188,f1117,f1197,f1190])). 7.46/1.34 tff(f1197,plain,( 7.46/1.34 spl6_120 <=> $less(sK3(sK0,sK1,$sum(c,sK2)),$sum(c,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_120])])). 7.46/1.34 tff(f1117,plain,( 7.46/1.34 spl6_109 <=> minsol_model_ub(sK0,sK1,$sum(c,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_109])])). 7.46/1.34 tff(f1188,plain,( 7.46/1.34 $less(sK3(sK0,sK1,$sum(c,sK2)),$sum(c,sK2)) | ~model_ub(sK0,sK1,$sum(c,sK2)) | spl6_109), 7.46/1.34 inference(resolution,[],[f1118,f54])). 7.46/1.34 tff(f1118,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | spl6_109), 7.46/1.34 inference(avatar_component_clause,[],[f1117])). 7.46/1.34 tff(f1195,plain,( 7.46/1.34 ~spl6_118 | spl6_119 | spl6_109), 7.46/1.34 inference(avatar_split_clause,[],[f1187,f1117,f1193,f1190])). 7.46/1.34 tff(f1193,plain,( 7.46/1.34 spl6_119 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_119])])). 7.46/1.34 tff(f1187,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK2))) | ~model_ub(sK0,sK1,$sum(c,sK2)) | spl6_109), 7.46/1.34 inference(resolution,[],[f1118,f53])). 7.46/1.34 tff(f1179,plain,( 7.46/1.34 spl6_117 | spl6_72), 7.46/1.34 inference(avatar_split_clause,[],[f1167,f777,f1177])). 7.46/1.34 tff(f1177,plain,( 7.46/1.34 spl6_117 <=> summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_117])])). 7.46/1.34 tff(f777,plain,( 7.46/1.34 spl6_72 <=> $less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 7.46/1.34 tff(f1167,plain,( 7.46/1.34 summation(sK3(sK0,sK1,sK2)) = max(summation(sK3(sK0,sK1,sK2)),summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | spl6_72), 7.46/1.34 inference(resolution,[],[f778,f47])). 7.46/1.34 tff(f778,plain,( 7.46/1.34 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | spl6_72), 7.46/1.34 inference(avatar_component_clause,[],[f777])). 7.46/1.34 tff(f1175,plain,( 7.46/1.34 spl6_116 | spl6_72), 7.46/1.34 inference(avatar_split_clause,[],[f1166,f777,f1173])). 7.46/1.34 tff(f1173,plain,( 7.46/1.34 spl6_116 <=> summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(sK3(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_116])])). 7.46/1.34 tff(f1166,plain,( 7.46/1.34 summation(sK3(sK0,sK1,sK2)) = max(summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(sK3(sK0,sK1,sK2))) | spl6_72), 7.46/1.34 inference(resolution,[],[f778,f48])). 7.46/1.34 tff(f1171,plain,( 7.46/1.34 ~spl6_115 | spl6_72), 7.46/1.34 inference(avatar_split_clause,[],[f1165,f777,f1169])). 7.46/1.34 tff(f1169,plain,( 7.46/1.34 spl6_115 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_115])])). 7.46/1.34 tff(f1165,plain,( 7.46/1.34 ~$less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))))) | spl6_72), 7.46/1.34 inference(resolution,[],[f778,f49])). 7.46/1.34 tff(f1150,plain,( 7.46/1.34 spl6_114 | ~spl6_57 | spl6_95), 7.46/1.34 inference(avatar_split_clause,[],[f1136,f943,f625,f1148])). 7.46/1.34 tff(f1148,plain,( 7.46/1.34 spl6_114 <=> $less($sum(c,sK1),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])). 7.46/1.34 tff(f943,plain,( 7.46/1.34 spl6_95 <=> model_ub(sK0,sK1,$sum(c,sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_95])])). 7.46/1.34 tff(f1136,plain,( 7.46/1.34 $less($sum(c,sK1),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | (~spl6_57 | spl6_95)), 7.46/1.34 inference(resolution,[],[f744,f944])). 7.46/1.34 tff(f944,plain,( 7.46/1.34 ~model_ub(sK0,sK1,$sum(c,sK1)) | spl6_95), 7.46/1.34 inference(avatar_component_clause,[],[f943])). 7.46/1.34 tff(f1135,plain,( 7.46/1.34 spl6_113 | ~spl6_109 | ~spl6_7 | ~spl6_28), 7.46/1.34 inference(avatar_split_clause,[],[f1112,f327,f96,f1117,f1133])). 7.46/1.34 tff(f1133,plain,( 7.46/1.34 spl6_113 <=> model_max($sum(c,sK5(sK0,sK1,sK2)),sK2,sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_113])])). 7.46/1.34 tff(f327,plain,( 7.46/1.34 spl6_28 <=> sK2 = max($sum(c,sK5(sK0,sK1,sK2)),sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 7.46/1.34 tff(f1112,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | model_max($sum(c,sK5(sK0,sK1,sK2)),sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_28)), 7.46/1.34 inference(superposition,[],[f734,f328])). 7.46/1.34 tff(f328,plain,( 7.46/1.34 sK2 = max($sum(c,sK5(sK0,sK1,sK2)),sK2) | ~spl6_28), 7.46/1.34 inference(avatar_component_clause,[],[f327])). 7.46/1.34 tff(f1131,plain,( 7.46/1.34 spl6_112 | ~spl6_109 | ~spl6_7 | ~spl6_18), 7.46/1.34 inference(avatar_split_clause,[],[f1111,f201,f96,f1117,f1129])). 7.46/1.34 tff(f1129,plain,( 7.46/1.34 spl6_112 <=> model_max($sum(c,max(sK0,sK1)),sK2,sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 7.46/1.34 tff(f201,plain,( 7.46/1.34 spl6_18 <=> sK2 = max($sum(c,max(sK0,sK1)),sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 7.46/1.34 tff(f1111,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | model_max($sum(c,max(sK0,sK1)),sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_18)), 7.46/1.34 inference(superposition,[],[f734,f202])). 7.46/1.34 tff(f202,plain,( 7.46/1.34 sK2 = max($sum(c,max(sK0,sK1)),sK2) | ~spl6_18), 7.46/1.34 inference(avatar_component_clause,[],[f201])). 7.46/1.34 tff(f1127,plain,( 7.46/1.34 spl6_111 | ~spl6_109 | ~spl6_7 | ~spl6_29), 7.46/1.34 inference(avatar_split_clause,[],[f1110,f331,f96,f1117,f1125])). 7.46/1.34 tff(f1125,plain,( 7.46/1.34 spl6_111 <=> model_max(sK2,$sum(c,sK5(sK0,sK1,sK2)),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_111])])). 7.46/1.34 tff(f331,plain,( 7.46/1.34 spl6_29 <=> sK2 = max(sK2,$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 7.46/1.34 tff(f1110,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | model_max(sK2,$sum(c,sK5(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_29)), 7.46/1.34 inference(superposition,[],[f734,f332])). 7.46/1.34 tff(f332,plain,( 7.46/1.34 sK2 = max(sK2,$sum(c,sK5(sK0,sK1,sK2))) | ~spl6_29), 7.46/1.34 inference(avatar_component_clause,[],[f331])). 7.46/1.34 tff(f1123,plain,( 7.46/1.34 spl6_110 | ~spl6_109 | ~spl6_7 | ~spl6_19), 7.46/1.34 inference(avatar_split_clause,[],[f1109,f205,f96,f1117,f1121])). 7.46/1.34 tff(f1121,plain,( 7.46/1.34 spl6_110 <=> model_max(sK2,$sum(c,max(sK0,sK1)),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 7.46/1.34 tff(f1109,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | model_max(sK2,$sum(c,max(sK0,sK1)),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_19)), 7.46/1.34 inference(superposition,[],[f734,f206])). 7.46/1.34 tff(f1119,plain,( 7.46/1.34 spl6_108 | ~spl6_109 | ~spl6_7 | ~spl6_16), 7.46/1.34 inference(avatar_split_clause,[],[f1108,f180,f96,f1117,f1114])). 7.46/1.34 tff(f1114,plain,( 7.46/1.34 spl6_108 <=> model_max(sK2,sK2,sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])). 7.46/1.34 tff(f1108,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK2)) | model_max(sK2,sK2,sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_16)), 7.46/1.34 inference(superposition,[],[f734,f181])). 7.46/1.34 tff(f1100,plain,( 7.46/1.34 spl6_107 | ~spl6_10 | spl6_101), 7.46/1.34 inference(avatar_split_clause,[],[f1094,f1033,f125,f1098])). 7.46/1.34 tff(f1098,plain,( 7.46/1.34 spl6_107 <=> $less(summation(sK2),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_107])])). 7.46/1.34 tff(f1033,plain,( 7.46/1.34 spl6_101 <=> model_ub(sK0,sK1,summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_101])])). 7.46/1.34 tff(f1094,plain,( 7.46/1.34 $less(summation(sK2),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | spl6_101)), 7.46/1.34 inference(resolution,[],[f1034,f265])). 7.46/1.34 tff(f1034,plain,( 7.46/1.34 ~model_ub(sK0,sK1,summation(sK2)) | spl6_101), 7.46/1.34 inference(avatar_component_clause,[],[f1033])). 7.46/1.34 tff(f1093,plain,( 7.46/1.34 spl6_106 | ~spl6_7 | ~spl6_60), 7.46/1.34 inference(avatar_split_clause,[],[f1087,f636,f96,f1091])). 7.46/1.34 tff(f1091,plain,( 7.46/1.34 spl6_106 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])). 7.46/1.34 tff(f1087,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),sK3(sK0,sK1,sK2)) | (~spl6_7 | ~spl6_60)), 7.46/1.34 inference(resolution,[],[f732,f637])). 7.46/1.34 tff(f732,plain,( 7.46/1.34 ( ! [X5:$int] : (~minsol_model_ub(sK0,sK1,X5) | sK3(sK0,sK1,sK2) = max(X5,sK3(sK0,sK1,sK2))) ) | ~spl6_7), 7.46/1.34 inference(resolution,[],[f621,f48])). 7.46/1.34 tff(f1078,plain,( 7.46/1.34 spl6_105 | ~spl6_71), 7.46/1.34 inference(avatar_split_clause,[],[f1074,f759,f1076])). 7.46/1.34 tff(f1076,plain,( 7.46/1.34 spl6_105 <=> $less(summation(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(summation(sK3(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_105])])). 7.46/1.34 tff(f759,plain,( 7.46/1.34 spl6_71 <=> $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_71])])). 7.46/1.34 tff(f1074,plain,( 7.46/1.34 $less(summation(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2)))),summation(summation(sK3(sK0,sK1,sK2)))) | ~spl6_71), 7.46/1.34 inference(resolution,[],[f760,f50])). 7.46/1.34 tff(f760,plain,( 7.46/1.34 $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2))) | ~spl6_71), 7.46/1.34 inference(avatar_component_clause,[],[f759])). 7.46/1.34 tff(f1068,plain,( 7.46/1.34 spl6_104 | ~spl6_1 | ~spl6_8), 7.46/1.34 inference(avatar_split_clause,[],[f1064,f100,f68,f1066])). 7.46/1.34 tff(f1064,plain,( 7.46/1.34 $less(sK3(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | (~spl6_1 | ~spl6_8)), 7.46/1.34 inference(resolution,[],[f376,f74])). 7.46/1.34 tff(f74,plain,( 7.46/1.34 minsol_model_max(sK0,sK1,sK2) | ~spl6_1), 7.46/1.34 inference(avatar_component_clause,[],[f68])). 7.46/1.34 tff(f376,plain,( 7.46/1.34 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK2) | $less(sK3(sK0,sK1,sK2),$sum(c,max(X0,X1)))) ) | ~spl6_8), 7.46/1.34 inference(resolution,[],[f155,f60])). 7.46/1.34 tff(f1061,plain,( 7.46/1.34 spl6_62 | ~spl6_1 | ~spl6_5), 7.46/1.34 inference(avatar_split_clause,[],[f1059,f87,f68,f657])). 7.46/1.34 tff(f1059,plain,( 7.46/1.34 $less(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | (~spl6_1 | ~spl6_5)), 7.46/1.34 inference(resolution,[],[f370,f74])). 7.46/1.34 tff(f370,plain,( 7.46/1.34 ( ! [X0:$int,X1:$int] : (~minsol_model_max(X0,X1,sK2) | $less(sK4(sK0,sK1,sK2),$sum(c,max(X0,X1)))) ) | ~spl6_5), 7.46/1.34 inference(resolution,[],[f146,f60])). 7.46/1.34 tff(f1042,plain,( 7.46/1.34 ~spl6_101 | spl6_103 | spl6_100), 7.46/1.34 inference(avatar_split_clause,[],[f1031,f1018,f1040,f1033])). 7.46/1.34 tff(f1040,plain,( 7.46/1.34 spl6_103 <=> $less(sK3(sK0,sK1,summation(sK2)),summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_103])])). 7.46/1.34 tff(f1018,plain,( 7.46/1.34 spl6_100 <=> minsol_model_ub(sK0,sK1,summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 7.46/1.34 tff(f1031,plain,( 7.46/1.34 $less(sK3(sK0,sK1,summation(sK2)),summation(sK2)) | ~model_ub(sK0,sK1,summation(sK2)) | spl6_100), 7.46/1.34 inference(resolution,[],[f1019,f54])). 7.46/1.34 tff(f1019,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,summation(sK2)) | spl6_100), 7.46/1.34 inference(avatar_component_clause,[],[f1018])). 7.46/1.34 tff(f1038,plain,( 7.46/1.34 ~spl6_101 | spl6_102 | spl6_100), 7.46/1.34 inference(avatar_split_clause,[],[f1030,f1018,f1036,f1033])). 7.46/1.34 tff(f1036,plain,( 7.46/1.34 spl6_102 <=> model_ub(sK0,sK1,sK3(sK0,sK1,summation(sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 7.46/1.34 tff(f1030,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,summation(sK2))) | ~model_ub(sK0,sK1,summation(sK2)) | spl6_100), 7.46/1.34 inference(resolution,[],[f1019,f53])). 7.46/1.34 tff(f1020,plain,( 7.46/1.34 spl6_99 | ~spl6_100 | ~spl6_10 | ~spl6_12), 7.46/1.34 inference(avatar_split_clause,[],[f1013,f150,f125,f1018,f1015])). 7.46/1.34 tff(f1015,plain,( 7.46/1.34 spl6_99 <=> $less(summation(sK4(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_99])])). 7.46/1.34 tff(f1013,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,summation(sK2)) | $less(summation(sK4(sK0,sK1,sK2)),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | ~spl6_12)), 7.46/1.34 inference(resolution,[],[f338,f265])). 7.46/1.34 tff(f338,plain,( 7.46/1.34 ( ! [X4:$int,X5:$int] : (~model_ub(X4,X5,summation(sK4(sK0,sK1,sK2))) | ~minsol_model_ub(X4,X5,summation(sK2))) ) | ~spl6_12), 7.46/1.34 inference(resolution,[],[f151,f52])). 7.46/1.34 tff(f998,plain,( 7.46/1.34 spl6_98 | ~spl6_10 | spl6_95), 7.46/1.34 inference(avatar_split_clause,[],[f992,f943,f125,f996])). 7.46/1.34 tff(f996,plain,( 7.46/1.34 spl6_98 <=> $less($sum(c,sK1),$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 7.46/1.34 tff(f992,plain,( 7.46/1.34 $less($sum(c,sK1),$sum(c,sK5(sK0,sK1,sK2))) | (~spl6_10 | spl6_95)), 7.46/1.34 inference(resolution,[],[f944,f265])). 7.46/1.34 tff(f952,plain,( 7.46/1.34 ~spl6_95 | spl6_97 | spl6_85), 7.46/1.34 inference(avatar_split_clause,[],[f941,f860,f950,f943])). 7.46/1.34 tff(f950,plain,( 7.46/1.34 spl6_97 <=> $less(sK3(sK0,sK1,$sum(c,sK1)),$sum(c,sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])). 7.46/1.34 tff(f860,plain,( 7.46/1.34 spl6_85 <=> minsol_model_ub(sK0,sK1,$sum(c,sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_85])])). 7.46/1.34 tff(f941,plain,( 7.46/1.34 $less(sK3(sK0,sK1,$sum(c,sK1)),$sum(c,sK1)) | ~model_ub(sK0,sK1,$sum(c,sK1)) | spl6_85), 7.46/1.34 inference(resolution,[],[f861,f54])). 7.46/1.34 tff(f861,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,sK1)) | spl6_85), 7.46/1.34 inference(avatar_component_clause,[],[f860])). 7.46/1.34 tff(f948,plain,( 7.46/1.34 ~spl6_95 | spl6_96 | spl6_85), 7.46/1.34 inference(avatar_split_clause,[],[f940,f860,f946,f943])). 7.46/1.34 tff(f946,plain,( 7.46/1.34 spl6_96 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK1)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 7.46/1.34 tff(f940,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,sK1))) | ~model_ub(sK0,sK1,$sum(c,sK1)) | spl6_85), 7.46/1.34 inference(resolution,[],[f861,f53])). 7.46/1.34 tff(f921,plain,( 7.46/1.34 ~spl6_59 | ~spl6_60 | ~spl6_61), 7.46/1.34 inference(avatar_split_clause,[],[f917,f640,f636,f633])). 7.46/1.34 tff(f917,plain,( 7.46/1.34 ~model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | (~spl6_60 | ~spl6_61)), 7.46/1.34 inference(resolution,[],[f700,f641])). 7.46/1.34 tff(f700,plain,( 7.46/1.34 ( ! [X0:$int] : (~$less(X0,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,X0)) ) | ~spl6_60), 7.46/1.34 inference(resolution,[],[f637,f52])). 7.46/1.34 tff(f911,plain,( 7.46/1.34 spl6_94 | spl6_70), 7.46/1.34 inference(avatar_split_clause,[],[f899,f750,f909])). 7.46/1.34 tff(f909,plain,( 7.46/1.34 spl6_94 <=> sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 7.46/1.34 tff(f899,plain,( 7.46/1.34 sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | spl6_70), 7.46/1.34 inference(resolution,[],[f751,f47])). 7.46/1.34 tff(f751,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | spl6_70), 7.46/1.34 inference(avatar_component_clause,[],[f750])). 7.46/1.34 tff(f907,plain,( 7.46/1.34 spl6_93 | spl6_70), 7.46/1.34 inference(avatar_split_clause,[],[f898,f750,f905])). 7.46/1.34 tff(f905,plain,( 7.46/1.34 spl6_93 <=> sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_93])])). 7.46/1.34 tff(f898,plain,( 7.46/1.34 sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_70), 7.46/1.34 inference(resolution,[],[f751,f48])). 7.46/1.34 tff(f903,plain,( 7.46/1.34 ~spl6_92 | spl6_70), 7.46/1.34 inference(avatar_split_clause,[],[f897,f750,f901])). 7.46/1.34 tff(f901,plain,( 7.46/1.34 spl6_92 <=> $less(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 7.46/1.34 tff(f897,plain,( 7.46/1.34 ~$less(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK1)) | spl6_70), 7.46/1.34 inference(resolution,[],[f751,f49])). 7.46/1.34 tff(f894,plain,( 7.46/1.34 spl6_91 | spl6_69), 7.46/1.34 inference(avatar_split_clause,[],[f882,f746,f892])). 7.46/1.34 tff(f892,plain,( 7.46/1.34 spl6_91 <=> sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])). 7.46/1.34 tff(f882,plain,( 7.46/1.34 sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | spl6_69), 7.46/1.34 inference(resolution,[],[f747,f47])). 7.46/1.34 tff(f747,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | spl6_69), 7.46/1.34 inference(avatar_component_clause,[],[f746])). 7.46/1.34 tff(f890,plain,( 7.46/1.34 spl6_90 | spl6_69), 7.46/1.34 inference(avatar_split_clause,[],[f881,f746,f888])). 7.46/1.34 tff(f888,plain,( 7.46/1.34 spl6_90 <=> sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK0,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 7.46/1.34 tff(f881,plain,( 7.46/1.34 sK5(sK0,sK1,sK3(sK0,sK1,sK2)) = max(sK0,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | spl6_69), 7.46/1.34 inference(resolution,[],[f747,f48])). 7.46/1.34 tff(f886,plain,( 7.46/1.34 ~spl6_89 | spl6_69), 7.46/1.34 inference(avatar_split_clause,[],[f880,f746,f884])). 7.46/1.34 tff(f884,plain,( 7.46/1.34 spl6_89 <=> $less(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK0))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_89])])). 7.46/1.34 tff(f880,plain,( 7.46/1.34 ~$less(summation(sK5(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK0)) | spl6_69), 7.46/1.34 inference(resolution,[],[f747,f49])). 7.46/1.34 tff(f877,plain,( 7.46/1.34 ~spl6_86 | spl6_88 | spl6_68), 7.46/1.34 inference(avatar_split_clause,[],[f864,f739,f875,f868])). 7.46/1.34 tff(f875,plain,( 7.46/1.34 spl6_88 <=> $less(sK3(sK0,sK1,$sum(c,max(sK0,sK1))),$sum(c,max(sK0,sK1)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 7.46/1.34 tff(f864,plain,( 7.46/1.34 $less(sK3(sK0,sK1,$sum(c,max(sK0,sK1))),$sum(c,max(sK0,sK1))) | ~model_ub(sK0,sK1,$sum(c,max(sK0,sK1))) | spl6_68), 7.46/1.34 inference(resolution,[],[f740,f54])). 7.46/1.34 tff(f873,plain,( 7.46/1.34 ~spl6_86 | spl6_87 | spl6_68), 7.46/1.34 inference(avatar_split_clause,[],[f863,f739,f871,f868])). 7.46/1.34 tff(f871,plain,( 7.46/1.34 spl6_87 <=> model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,max(sK0,sK1))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])). 7.46/1.34 tff(f863,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,$sum(c,max(sK0,sK1)))) | ~model_ub(sK0,sK1,$sum(c,max(sK0,sK1))) | spl6_68), 7.46/1.34 inference(resolution,[],[f740,f53])). 7.46/1.34 tff(f862,plain,( 7.46/1.34 ~spl6_85 | ~spl6_8 | ~spl6_7 | ~spl6_32), 7.46/1.34 inference(avatar_split_clause,[],[f858,f366,f96,f100,f860])). 7.46/1.34 tff(f366,plain,( 7.46/1.34 spl6_32 <=> ! [X0 : $int] : ($less(X0,$sum(c,sK1)) | ~$less(X0,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 7.46/1.34 tff(f858,plain,( 7.46/1.34 ~$less(sK3(sK0,sK1,sK2),sK2) | ~minsol_model_ub(sK0,sK1,$sum(c,sK1)) | (~spl6_7 | ~spl6_32)), 7.46/1.34 inference(resolution,[],[f367,f621])). 7.46/1.34 tff(f367,plain,( 7.46/1.34 ( ! [X0:$int] : ($less(X0,$sum(c,sK1)) | ~$less(X0,sK2)) ) | ~spl6_32), 7.46/1.34 inference(avatar_component_clause,[],[f366])). 7.46/1.34 tff(f851,plain,( 7.46/1.34 spl6_20 | spl6_56 | ~spl6_55), 7.46/1.34 inference(avatar_split_clause,[],[f844,f600,f604,f209])). 7.46/1.34 tff(f844,plain,( 7.46/1.34 $less(sK1,sK1) | $less(sK1,sK0) | ~spl6_55), 7.46/1.34 inference(superposition,[],[f601,f48])). 7.46/1.34 tff(f601,plain,( 7.46/1.34 $less(max(sK0,sK1),sK1) | ~spl6_55), 7.46/1.34 inference(avatar_component_clause,[],[f600])). 7.46/1.34 tff(f850,plain,( 7.46/1.34 spl6_84 | ~spl6_55), 7.46/1.34 inference(avatar_split_clause,[],[f843,f600,f848])). 7.46/1.34 tff(f848,plain,( 7.46/1.34 spl6_84 <=> $less(summation(max(sK0,sK1)),summation(sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 7.46/1.34 tff(f843,plain,( 7.46/1.34 $less(summation(max(sK0,sK1)),summation(sK1)) | ~spl6_55), 7.46/1.34 inference(resolution,[],[f601,f50])). 7.46/1.34 tff(f838,plain,( 7.46/1.34 spl6_83 | spl6_66), 7.46/1.34 inference(avatar_split_clause,[],[f826,f702,f836])). 7.46/1.34 tff(f836,plain,( 7.46/1.34 spl6_83 <=> sK2 = max(sK2,sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_83])])). 7.46/1.34 tff(f702,plain,( 7.46/1.34 spl6_66 <=> $less(sK2,sK3(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_66])])). 7.46/1.34 tff(f826,plain,( 7.46/1.34 sK2 = max(sK2,sK3(sK0,sK1,sK2)) | spl6_66), 7.46/1.34 inference(resolution,[],[f703,f47])). 7.46/1.34 tff(f703,plain,( 7.46/1.34 ~$less(sK2,sK3(sK0,sK1,sK2)) | spl6_66), 7.46/1.34 inference(avatar_component_clause,[],[f702])). 7.46/1.34 tff(f834,plain,( 7.46/1.34 spl6_82 | spl6_66), 7.46/1.34 inference(avatar_split_clause,[],[f825,f702,f832])). 7.46/1.34 tff(f832,plain,( 7.46/1.34 spl6_82 <=> sK2 = max(sK3(sK0,sK1,sK2),sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 7.46/1.34 tff(f825,plain,( 7.46/1.34 sK2 = max(sK3(sK0,sK1,sK2),sK2) | spl6_66), 7.46/1.34 inference(resolution,[],[f703,f48])). 7.46/1.34 tff(f830,plain,( 7.46/1.34 ~spl6_81 | spl6_66), 7.46/1.34 inference(avatar_split_clause,[],[f824,f702,f828])). 7.46/1.34 tff(f824,plain,( 7.46/1.34 ~$less(summation(sK2),summation(sK3(sK0,sK1,sK2))) | spl6_66), 7.46/1.34 inference(resolution,[],[f703,f49])). 7.46/1.34 tff(f821,plain,( 7.46/1.34 spl6_80 | spl6_26), 7.46/1.34 inference(avatar_split_clause,[],[f809,f271,f819])). 7.46/1.34 tff(f819,plain,( 7.46/1.34 spl6_80 <=> sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),sK1)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 7.46/1.34 tff(f271,plain,( 7.46/1.34 spl6_26 <=> $less(sK5(sK0,sK1,sK2),sK1)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 7.46/1.34 tff(f809,plain,( 7.46/1.34 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),sK1) | spl6_26), 7.46/1.34 inference(resolution,[],[f272,f47])). 7.46/1.34 tff(f272,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK2),sK1) | spl6_26), 7.46/1.34 inference(avatar_component_clause,[],[f271])). 7.46/1.34 tff(f817,plain,( 7.46/1.34 spl6_79 | spl6_26), 7.46/1.34 inference(avatar_split_clause,[],[f808,f271,f815])). 7.46/1.34 tff(f815,plain,( 7.46/1.34 spl6_79 <=> sK5(sK0,sK1,sK2) = max(sK1,sK5(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_79])])). 7.46/1.34 tff(f808,plain,( 7.46/1.34 sK5(sK0,sK1,sK2) = max(sK1,sK5(sK0,sK1,sK2)) | spl6_26), 7.46/1.34 inference(resolution,[],[f272,f48])). 7.46/1.34 tff(f813,plain,( 7.46/1.34 ~spl6_78 | spl6_26), 7.46/1.34 inference(avatar_split_clause,[],[f807,f271,f811])). 7.46/1.34 tff(f807,plain,( 7.46/1.34 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK1)) | spl6_26), 7.46/1.34 inference(resolution,[],[f272,f49])). 7.46/1.34 tff(f804,plain,( 7.46/1.34 spl6_77 | spl6_25), 7.46/1.34 inference(avatar_split_clause,[],[f792,f267,f802])). 7.46/1.34 tff(f802,plain,( 7.46/1.34 spl6_77 <=> sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),sK0)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_77])])). 7.46/1.34 tff(f267,plain,( 7.46/1.34 spl6_25 <=> $less(sK5(sK0,sK1,sK2),sK0)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 7.46/1.34 tff(f792,plain,( 7.46/1.34 sK5(sK0,sK1,sK2) = max(sK5(sK0,sK1,sK2),sK0) | spl6_25), 7.46/1.34 inference(resolution,[],[f268,f47])). 7.46/1.34 tff(f268,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK2),sK0) | spl6_25), 7.46/1.34 inference(avatar_component_clause,[],[f267])). 7.46/1.34 tff(f800,plain,( 7.46/1.34 spl6_76 | spl6_25), 7.46/1.34 inference(avatar_split_clause,[],[f791,f267,f798])). 7.46/1.34 tff(f798,plain,( 7.46/1.34 spl6_76 <=> sK5(sK0,sK1,sK2) = max(sK0,sK5(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 7.46/1.34 tff(f791,plain,( 7.46/1.34 sK5(sK0,sK1,sK2) = max(sK0,sK5(sK0,sK1,sK2)) | spl6_25), 7.46/1.34 inference(resolution,[],[f268,f48])). 7.46/1.34 tff(f796,plain,( 7.46/1.34 ~spl6_75 | spl6_25), 7.46/1.34 inference(avatar_split_clause,[],[f790,f267,f794])). 7.46/1.34 tff(f790,plain,( 7.46/1.34 ~$less(summation(sK5(sK0,sK1,sK2)),summation(sK0)) | spl6_25), 7.46/1.34 inference(resolution,[],[f268,f49])). 7.46/1.34 tff(f787,plain,( 7.46/1.34 spl6_74 | spl6_58), 7.46/1.34 inference(avatar_split_clause,[],[f775,f629,f785])). 7.46/1.34 tff(f785,plain,( 7.46/1.34 spl6_74 <=> sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 7.46/1.34 tff(f775,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = max(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | spl6_58), 7.46/1.34 inference(resolution,[],[f630,f47])). 7.46/1.34 tff(f783,plain,( 7.46/1.34 spl6_73 | spl6_58), 7.46/1.34 inference(avatar_split_clause,[],[f774,f629,f781])). 7.46/1.34 tff(f774,plain,( 7.46/1.34 sK3(sK0,sK1,sK2) = max($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))),sK3(sK0,sK1,sK2)) | spl6_58), 7.46/1.34 inference(resolution,[],[f630,f48])). 7.46/1.34 tff(f779,plain,( 7.46/1.34 ~spl6_72 | spl6_58), 7.46/1.34 inference(avatar_split_clause,[],[f773,f629,f777])). 7.46/1.34 tff(f773,plain,( 7.46/1.34 ~$less(summation(sK3(sK0,sK1,sK2)),summation($sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2))))) | spl6_58), 7.46/1.34 inference(resolution,[],[f630,f49])). 7.46/1.34 tff(f761,plain,( 7.46/1.34 spl6_71 | ~spl6_61), 7.46/1.34 inference(avatar_split_clause,[],[f757,f640,f759])). 7.46/1.34 tff(f757,plain,( 7.46/1.34 $less(summation(sK3(sK0,sK1,sK3(sK0,sK1,sK2))),summation(sK3(sK0,sK1,sK2))) | ~spl6_61), 7.46/1.34 inference(resolution,[],[f641,f50])). 7.46/1.34 tff(f752,plain,( 7.46/1.34 ~spl6_70 | ~spl6_57), 7.46/1.34 inference(avatar_split_clause,[],[f743,f625,f750])). 7.46/1.34 tff(f743,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK1) | ~spl6_57), 7.46/1.34 inference(resolution,[],[f626,f66])). 7.46/1.34 tff(f66,plain,( 7.46/1.34 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X1) | ~ub(X0,X1,X2)) )), 7.46/1.34 inference(cnf_transformation,[],[f44])). 7.46/1.34 tff(f748,plain,( 7.46/1.34 ~spl6_69 | ~spl6_57), 7.46/1.34 inference(avatar_split_clause,[],[f742,f625,f746])). 7.46/1.34 tff(f742,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK3(sK0,sK1,sK2)),sK0) | ~spl6_57), 7.46/1.34 inference(resolution,[],[f626,f65])). 7.46/1.34 tff(f65,plain,( 7.46/1.34 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,X0) | ~ub(X0,X1,X2)) )), 7.46/1.34 inference(cnf_transformation,[],[f44])). 7.46/1.34 tff(f741,plain,( 7.46/1.34 ~spl6_8 | ~spl6_68 | ~spl6_1 | ~spl6_7), 7.46/1.34 inference(avatar_split_clause,[],[f735,f96,f68,f739,f100])). 7.46/1.34 tff(f735,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,$sum(c,max(sK0,sK1))) | ~$less(sK3(sK0,sK1,sK2),sK2) | (~spl6_1 | ~spl6_7)), 7.46/1.34 inference(resolution,[],[f621,f164])). 7.46/1.34 tff(f164,plain,( 7.46/1.34 ( ! [X1:$int] : ($less(X1,$sum(c,max(sK0,sK1))) | ~$less(X1,sK2)) ) | ~spl6_1), 7.46/1.34 inference(resolution,[],[f104,f60])). 7.46/1.34 tff(f104,plain,( 7.46/1.34 ( ! [X0:$int] : (~model_max(sK0,sK1,X0) | ~$less(X0,sK2)) ) | ~spl6_1), 7.46/1.34 inference(resolution,[],[f74,f56])). 7.46/1.34 tff(f726,plain,( 7.46/1.34 spl6_20 | ~spl6_54), 7.46/1.34 inference(avatar_split_clause,[],[f721,f597,f209])). 7.46/1.34 tff(f725,plain,( 7.46/1.34 spl6_67 | ~spl6_54), 7.46/1.34 inference(avatar_split_clause,[],[f718,f597,f723])). 7.46/1.34 tff(f723,plain,( 7.46/1.34 spl6_67 <=> $less(summation(max(sK0,sK1)),summation(sK0))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 7.46/1.34 tff(f718,plain,( 7.46/1.34 $less(summation(max(sK0,sK1)),summation(sK0)) | ~spl6_54), 7.46/1.34 inference(resolution,[],[f598,f50])). 7.46/1.34 tff(f704,plain,( 7.46/1.34 ~spl6_66 | ~spl6_6 | ~spl6_60), 7.46/1.34 inference(avatar_split_clause,[],[f698,f636,f93,f702])). 7.46/1.34 tff(f93,plain,( 7.46/1.34 spl6_6 <=> model_ub(sK0,sK1,sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 7.46/1.34 tff(f698,plain,( 7.46/1.34 ~$less(sK2,sK3(sK0,sK1,sK2)) | (~spl6_6 | ~spl6_60)), 7.46/1.34 inference(resolution,[],[f637,f121])). 7.46/1.34 tff(f121,plain,( 7.46/1.34 ( ! [X0:$int] : (~minsol_model_ub(sK0,sK1,X0) | ~$less(sK2,X0)) ) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f52])). 7.46/1.34 tff(f111,plain,( 7.46/1.34 model_ub(sK0,sK1,sK2) | ~spl6_6), 7.46/1.34 inference(avatar_component_clause,[],[f93])). 7.46/1.34 tff(f672,plain,( 7.46/1.34 ~spl6_2 | ~spl6_7 | ~spl6_8), 7.46/1.34 inference(avatar_split_clause,[],[f618,f100,f96,f71])). 7.46/1.34 tff(f618,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK2) | (~spl6_7 | ~spl6_8)), 7.46/1.34 inference(resolution,[],[f97,f156])). 7.46/1.34 tff(f670,plain,( 7.46/1.34 spl6_65 | spl6_64 | ~spl6_4), 7.46/1.34 inference(avatar_split_clause,[],[f655,f83,f664,f668])). 7.46/1.34 tff(f655,plain,( 7.46/1.34 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | $less(sK4(sK0,sK1,sK4(sK0,sK1,sK2)),sK4(sK0,sK1,sK2)) | ~spl6_4), 7.46/1.34 inference(resolution,[],[f84,f58])). 7.46/1.34 tff(f666,plain,( 7.46/1.34 spl6_63 | spl6_64 | ~spl6_4), 7.46/1.34 inference(avatar_split_clause,[],[f654,f83,f664,f661])). 7.46/1.34 tff(f661,plain,( 7.46/1.34 spl6_63 <=> model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_63])])). 7.46/1.34 tff(f654,plain,( 7.46/1.34 minsol_model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | model_max(sK0,sK1,sK4(sK0,sK1,sK4(sK0,sK1,sK2))) | ~spl6_4), 7.46/1.34 inference(resolution,[],[f84,f57])). 7.46/1.34 tff(f659,plain,( 7.46/1.34 ~spl6_62 | ~spl6_4), 7.46/1.34 inference(avatar_split_clause,[],[f652,f83,f657])). 7.46/1.34 tff(f652,plain,( 7.46/1.34 ~$less(sK4(sK0,sK1,sK2),$sum(c,max(sK0,sK1))) | ~spl6_4), 7.46/1.34 inference(resolution,[],[f84,f59])). 7.46/1.34 tff(f646,plain,( 7.46/1.34 spl6_7 | spl6_2 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f242,f93,f71,f96])). 7.46/1.34 tff(f242,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f53])). 7.46/1.34 tff(f645,plain,( 7.46/1.34 spl6_7 | spl6_2 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f122,f93,f71,f96])). 7.46/1.34 tff(f122,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f53])). 7.46/1.34 tff(f644,plain,( 7.46/1.34 spl6_7 | spl6_2 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f616,f93,f71,f96])). 7.46/1.34 tff(f616,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK2) | model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f53])). 7.46/1.34 tff(f643,plain,( 7.46/1.34 spl6_4 | spl6_1 | ~spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f285,f80,f68,f83])). 7.46/1.34 tff(f285,plain,( 7.46/1.34 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_3), 7.46/1.34 inference(resolution,[],[f105,f57])). 7.46/1.34 tff(f642,plain,( 7.46/1.34 spl6_61 | spl6_60 | ~spl6_7), 7.46/1.34 inference(avatar_split_clause,[],[f623,f96,f636,f640])). 7.46/1.34 tff(f623,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | $less(sK3(sK0,sK1,sK3(sK0,sK1,sK2)),sK3(sK0,sK1,sK2)) | ~spl6_7), 7.46/1.34 inference(resolution,[],[f97,f54])). 7.46/1.34 tff(f638,plain,( 7.46/1.34 spl6_59 | spl6_60 | ~spl6_7), 7.46/1.34 inference(avatar_split_clause,[],[f622,f96,f636,f633])). 7.46/1.34 tff(f622,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | model_ub(sK0,sK1,sK3(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_7), 7.46/1.34 inference(resolution,[],[f97,f53])). 7.46/1.34 tff(f631,plain,( 7.46/1.34 ~spl6_58 | ~spl6_7), 7.46/1.34 inference(avatar_split_clause,[],[f620,f96,f629])). 7.46/1.34 tff(f620,plain,( 7.46/1.34 ~$less(sK3(sK0,sK1,sK2),$sum(c,sK5(sK0,sK1,sK3(sK0,sK1,sK2)))) | ~spl6_7), 7.46/1.34 inference(resolution,[],[f97,f62])). 7.46/1.34 tff(f62,plain,( 7.46/1.34 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X2,$sum(c,sK5(X0,X1,X2))) | ~model_ub(X0,X1,X2)) )), 7.46/1.34 inference(cnf_transformation,[],[f42])). 7.46/1.34 tff(f627,plain,( 7.46/1.34 spl6_57 | ~spl6_7), 7.46/1.34 inference(avatar_split_clause,[],[f619,f96,f625])). 7.46/1.34 tff(f619,plain,( 7.46/1.34 ub(sK0,sK1,sK5(sK0,sK1,sK3(sK0,sK1,sK2))) | ~spl6_7), 7.46/1.34 inference(resolution,[],[f97,f61])). 7.46/1.34 tff(f61,plain,( 7.46/1.34 ( ! [X2:$int,X0:$int,X1:$int] : (ub(X0,X1,sK5(X0,X1,X2)) | ~model_ub(X0,X1,X2)) )), 7.46/1.34 inference(cnf_transformation,[],[f42])). 7.46/1.34 tff(f612,plain,( 7.46/1.34 ~spl6_6 | spl6_7 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f132,f71,f96,f93])). 7.46/1.34 tff(f132,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | spl6_2), 7.46/1.34 inference(resolution,[],[f72,f53])). 7.46/1.34 tff(f72,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK2) | spl6_2), 7.46/1.34 inference(avatar_component_clause,[],[f71])). 7.46/1.34 tff(f611,plain,( 7.46/1.34 ~spl6_6 | spl6_7 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f90,f71,f96,f93])). 7.46/1.34 tff(f90,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | spl6_2), 7.46/1.34 inference(resolution,[],[f72,f53])). 7.46/1.34 tff(f610,plain,( 7.46/1.34 ~spl6_6 | spl6_7 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f277,f71,f96,f93])). 7.46/1.34 tff(f277,plain,( 7.46/1.34 model_ub(sK0,sK1,sK3(sK0,sK1,sK2)) | ~model_ub(sK0,sK1,sK2) | spl6_2), 7.46/1.34 inference(resolution,[],[f72,f53])). 7.46/1.34 tff(f609,plain,( 7.46/1.34 spl6_25 | spl6_26 | spl6_6 | spl6_11), 7.46/1.34 inference(avatar_split_clause,[],[f588,f129,f93,f271,f267])). 7.46/1.34 tff(f129,plain,( 7.46/1.34 spl6_11 <=> $less(sK2,$sum(c,sK5(sK0,sK1,sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 7.46/1.34 tff(f588,plain,( 7.46/1.34 $less(sK5(sK0,sK1,sK2),sK1) | $less(sK5(sK0,sK1,sK2),sK0) | (spl6_6 | spl6_11)), 7.46/1.34 inference(resolution,[],[f355,f130])). 7.46/1.34 tff(f130,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK5(sK0,sK1,sK2))) | spl6_11), 7.46/1.34 inference(avatar_component_clause,[],[f129])). 7.46/1.34 tff(f355,plain,( 7.46/1.34 ( ! [X1:$int] : ($less(sK2,$sum(c,X1)) | $less(X1,sK1) | $less(X1,sK0)) ) | spl6_6), 7.46/1.34 inference(resolution,[],[f136,f64])). 7.46/1.34 tff(f136,plain,( 7.46/1.34 ( ! [X0:$int] : (~ub(sK0,sK1,X0) | $less(sK2,$sum(c,X0))) ) | spl6_6), 7.46/1.34 inference(resolution,[],[f94,f63])). 7.46/1.34 tff(f94,plain,( 7.46/1.34 ~model_ub(sK0,sK1,sK2) | spl6_6), 7.46/1.34 inference(avatar_component_clause,[],[f93])). 7.46/1.34 tff(f606,plain,( 7.46/1.34 spl6_20 | spl6_56 | spl6_6 | spl6_21), 7.46/1.34 inference(avatar_split_clause,[],[f587,f212,f93,f604,f209])). 7.46/1.34 tff(f212,plain,( 7.46/1.34 spl6_21 <=> $less(sK2,$sum(c,sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 7.46/1.34 tff(f587,plain,( 7.46/1.34 $less(sK1,sK1) | $less(sK1,sK0) | (spl6_6 | spl6_21)), 7.46/1.34 inference(resolution,[],[f355,f213])). 7.46/1.34 tff(f213,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK1)) | spl6_21), 7.46/1.34 inference(avatar_component_clause,[],[f212])). 7.46/1.34 tff(f602,plain,( 7.46/1.34 spl6_54 | spl6_55 | spl6_6 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f585,f116,f93,f600,f597])). 7.46/1.34 tff(f585,plain,( 7.46/1.34 $less(max(sK0,sK1),sK1) | $less(max(sK0,sK1),sK0) | (spl6_6 | spl6_9)), 7.46/1.34 inference(resolution,[],[f355,f142])). 7.46/1.34 tff(f142,plain,( 7.46/1.34 ~$less(sK2,$sum(c,max(sK0,sK1))) | spl6_9), 7.46/1.34 inference(avatar_component_clause,[],[f116])). 7.46/1.34 tff(f570,plain,( 7.46/1.34 spl6_53 | ~spl6_31), 7.46/1.34 inference(avatar_split_clause,[],[f566,f351,f568])). 7.46/1.34 tff(f568,plain,( 7.46/1.34 spl6_53 <=> $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_53])])). 7.46/1.34 tff(f351,plain,( 7.46/1.34 spl6_31 <=> $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])). 7.46/1.34 tff(f566,plain,( 7.46/1.34 $less(summation(summation(summation(sK3(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_31), 7.46/1.34 inference(resolution,[],[f352,f50])). 7.46/1.34 tff(f352,plain,( 7.46/1.34 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_31), 7.46/1.34 inference(avatar_component_clause,[],[f351])). 7.46/1.34 tff(f560,plain,( 7.46/1.34 spl6_52 | ~spl6_30), 7.46/1.34 inference(avatar_split_clause,[],[f556,f341,f558])). 7.46/1.34 tff(f558,plain,( 7.46/1.34 spl6_52 <=> $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 7.46/1.34 tff(f341,plain,( 7.46/1.34 spl6_30 <=> $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 7.46/1.34 tff(f556,plain,( 7.46/1.34 $less(summation(summation(summation(sK4(sK0,sK1,sK2)))),summation(summation(summation(sK2)))) | ~spl6_30), 7.46/1.34 inference(resolution,[],[f342,f50])). 7.46/1.34 tff(f342,plain,( 7.46/1.34 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_30), 7.46/1.34 inference(avatar_component_clause,[],[f341])). 7.46/1.34 tff(f546,plain,( 7.46/1.34 spl6_50 | spl6_51 | ~spl6_28), 7.46/1.34 inference(avatar_split_clause,[],[f538,f327,f543,f540])). 7.46/1.34 tff(f543,plain,( 7.46/1.34 spl6_51 <=> sK2 = $sum(c,sK5(sK0,sK1,sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])). 7.46/1.34 tff(f538,plain,( 7.46/1.34 sK2 = $sum(c,sK5(sK0,sK1,sK2)) | $less($sum(c,sK5(sK0,sK1,sK2)),sK2) | ~spl6_28), 7.46/1.34 inference(superposition,[],[f47,f328])). 7.46/1.34 tff(f545,plain,( 7.46/1.34 spl6_50 | spl6_51 | ~spl6_28), 7.46/1.34 inference(avatar_split_clause,[],[f535,f327,f543,f540])). 7.46/1.34 tff(f535,plain,( 7.46/1.34 sK2 = $sum(c,sK5(sK0,sK1,sK2)) | $less($sum(c,sK5(sK0,sK1,sK2)),sK2) | ~spl6_28), 7.46/1.34 inference(superposition,[],[f328,f47])). 7.46/1.34 tff(f534,plain,( 7.46/1.34 spl6_49 | spl6_27), 7.46/1.34 inference(avatar_split_clause,[],[f522,f323,f532])). 7.46/1.34 tff(f532,plain,( 7.46/1.34 spl6_49 <=> summation(sK2) = max(summation(sK2),summation($sum(c,sK5(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 7.46/1.34 tff(f323,plain,( 7.46/1.34 spl6_27 <=> $less(summation(sK2),summation($sum(c,sK5(sK0,sK1,sK2))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 7.46/1.34 tff(f522,plain,( 7.46/1.34 summation(sK2) = max(summation(sK2),summation($sum(c,sK5(sK0,sK1,sK2)))) | spl6_27), 7.46/1.34 inference(resolution,[],[f324,f47])). 7.46/1.34 tff(f324,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,sK5(sK0,sK1,sK2)))) | spl6_27), 7.46/1.34 inference(avatar_component_clause,[],[f323])). 7.46/1.34 tff(f530,plain,( 7.46/1.34 spl6_48 | spl6_27), 7.46/1.34 inference(avatar_split_clause,[],[f521,f323,f528])). 7.46/1.34 tff(f528,plain,( 7.46/1.34 spl6_48 <=> summation(sK2) = max(summation($sum(c,sK5(sK0,sK1,sK2))),summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 7.46/1.34 tff(f521,plain,( 7.46/1.34 summation(sK2) = max(summation($sum(c,sK5(sK0,sK1,sK2))),summation(sK2)) | spl6_27), 7.46/1.34 inference(resolution,[],[f324,f48])). 7.46/1.34 tff(f526,plain,( 7.46/1.34 ~spl6_47 | spl6_27), 7.46/1.34 inference(avatar_split_clause,[],[f520,f323,f524])). 7.46/1.34 tff(f524,plain,( 7.46/1.34 spl6_47 <=> $less(summation(summation(sK2)),summation(summation($sum(c,sK5(sK0,sK1,sK2)))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 7.46/1.34 tff(f520,plain,( 7.46/1.34 ~$less(summation(summation(sK2)),summation(summation($sum(c,sK5(sK0,sK1,sK2))))) | spl6_27), 7.46/1.34 inference(resolution,[],[f324,f49])). 7.46/1.34 tff(f497,plain,( 7.46/1.34 spl6_45 | spl6_46 | ~spl6_18), 7.46/1.34 inference(avatar_split_clause,[],[f489,f201,f494,f491])). 7.46/1.34 tff(f489,plain,( 7.46/1.34 sK2 = $sum(c,max(sK0,sK1)) | $less($sum(c,max(sK0,sK1)),sK2) | ~spl6_18), 7.46/1.34 inference(superposition,[],[f47,f202])). 7.46/1.34 tff(f496,plain,( 7.46/1.34 spl6_45 | spl6_46 | ~spl6_18), 7.46/1.34 inference(avatar_split_clause,[],[f486,f201,f494,f491])). 7.46/1.34 tff(f486,plain,( 7.46/1.34 sK2 = $sum(c,max(sK0,sK1)) | $less($sum(c,max(sK0,sK1)),sK2) | ~spl6_18), 7.46/1.34 inference(superposition,[],[f202,f47])). 7.46/1.34 tff(f483,plain,( 7.46/1.34 spl6_44 | spl6_17), 7.46/1.34 inference(avatar_split_clause,[],[f469,f197,f481])). 7.46/1.34 tff(f481,plain,( 7.46/1.34 spl6_44 <=> summation(sK2) = max(summation(sK2),summation($sum(c,max(sK0,sK1))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 7.46/1.34 tff(f197,plain,( 7.46/1.34 spl6_17 <=> $less(summation(sK2),summation($sum(c,max(sK0,sK1))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 7.46/1.34 tff(f469,plain,( 7.46/1.34 summation(sK2) = max(summation(sK2),summation($sum(c,max(sK0,sK1)))) | spl6_17), 7.46/1.34 inference(resolution,[],[f198,f47])). 7.46/1.34 tff(f198,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,max(sK0,sK1)))) | spl6_17), 7.46/1.34 inference(avatar_component_clause,[],[f197])). 7.46/1.34 tff(f479,plain,( 7.46/1.34 spl6_43 | spl6_17), 7.46/1.34 inference(avatar_split_clause,[],[f468,f197,f477])). 7.46/1.34 tff(f477,plain,( 7.46/1.34 spl6_43 <=> summation(sK2) = max(summation($sum(c,max(sK0,sK1))),summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 7.46/1.34 tff(f468,plain,( 7.46/1.34 summation(sK2) = max(summation($sum(c,max(sK0,sK1))),summation(sK2)) | spl6_17), 7.46/1.34 inference(resolution,[],[f198,f48])). 7.46/1.34 tff(f475,plain,( 7.46/1.34 ~spl6_42 | spl6_17), 7.46/1.34 inference(avatar_split_clause,[],[f467,f197,f473])). 7.46/1.34 tff(f473,plain,( 7.46/1.34 spl6_42 <=> $less(summation(summation(sK2)),summation(summation($sum(c,max(sK0,sK1)))))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 7.46/1.34 tff(f467,plain,( 7.46/1.34 ~$less(summation(summation(sK2)),summation(summation($sum(c,max(sK0,sK1))))) | spl6_17), 7.46/1.34 inference(resolution,[],[f198,f49])). 7.46/1.34 tff(f454,plain,( 7.46/1.34 spl6_41 | ~spl6_24), 7.46/1.34 inference(avatar_split_clause,[],[f450,f234,f452])). 7.46/1.34 tff(f452,plain,( 7.46/1.34 spl6_41 <=> $less(summation(summation(sK0)),summation(summation(sK1)))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 7.46/1.34 tff(f450,plain,( 7.46/1.34 $less(summation(summation(sK0)),summation(summation(sK1))) | ~spl6_24), 7.46/1.34 inference(resolution,[],[f235,f50])). 7.46/1.34 tff(f441,plain,( 7.46/1.34 spl6_40 | spl6_23), 7.46/1.34 inference(avatar_split_clause,[],[f429,f219,f439])). 7.46/1.34 tff(f439,plain,( 7.46/1.34 spl6_40 <=> sK2 = max(sK2,$sum(c,sK0))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 7.46/1.34 tff(f429,plain,( 7.46/1.34 sK2 = max(sK2,$sum(c,sK0)) | spl6_23), 7.46/1.34 inference(resolution,[],[f220,f47])). 7.46/1.34 tff(f220,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK0)) | spl6_23), 7.46/1.34 inference(avatar_component_clause,[],[f219])). 7.46/1.34 tff(f437,plain,( 7.46/1.34 spl6_39 | spl6_23), 7.46/1.34 inference(avatar_split_clause,[],[f428,f219,f435])). 7.46/1.34 tff(f428,plain,( 7.46/1.34 sK2 = max($sum(c,sK0),sK2) | spl6_23), 7.46/1.34 inference(resolution,[],[f220,f48])). 7.46/1.34 tff(f433,plain,( 7.46/1.34 ~spl6_38 | spl6_23), 7.46/1.34 inference(avatar_split_clause,[],[f427,f219,f431])). 7.46/1.34 tff(f427,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,sK0))) | spl6_23), 7.46/1.34 inference(resolution,[],[f220,f49])). 7.46/1.34 tff(f423,plain,( 7.46/1.34 spl6_37 | spl6_21), 7.46/1.34 inference(avatar_split_clause,[],[f411,f212,f421])). 7.46/1.34 tff(f421,plain,( 7.46/1.34 spl6_37 <=> sK2 = max(sK2,$sum(c,sK1))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 7.46/1.34 tff(f411,plain,( 7.46/1.34 sK2 = max(sK2,$sum(c,sK1)) | spl6_21), 7.46/1.34 inference(resolution,[],[f213,f47])). 7.46/1.34 tff(f419,plain,( 7.46/1.34 spl6_36 | spl6_21), 7.46/1.34 inference(avatar_split_clause,[],[f410,f212,f417])). 7.46/1.34 tff(f410,plain,( 7.46/1.34 sK2 = max($sum(c,sK1),sK2) | spl6_21), 7.46/1.34 inference(resolution,[],[f213,f48])). 7.46/1.34 tff(f415,plain,( 7.46/1.34 ~spl6_35 | spl6_21), 7.46/1.34 inference(avatar_split_clause,[],[f409,f212,f413])). 7.46/1.34 tff(f409,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,sK1))) | spl6_21), 7.46/1.34 inference(resolution,[],[f213,f49])). 7.46/1.34 tff(f403,plain,( 7.46/1.34 spl6_34 | spl6_15), 7.46/1.34 inference(avatar_split_clause,[],[f394,f176,f400])). 7.46/1.34 tff(f176,plain,( 7.46/1.34 spl6_15 <=> $less(summation(sK2),summation(sK2))), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 7.46/1.34 tff(f394,plain,( 7.46/1.34 summation(sK2) = max(summation(sK2),summation(sK2)) | spl6_15), 7.46/1.34 inference(resolution,[],[f177,f47])). 7.46/1.34 tff(f177,plain,( 7.46/1.34 ~$less(summation(sK2),summation(sK2)) | spl6_15), 7.46/1.34 inference(avatar_component_clause,[],[f176])). 7.46/1.34 tff(f402,plain,( 7.46/1.34 spl6_34 | spl6_15), 7.46/1.34 inference(avatar_split_clause,[],[f393,f176,f400])). 7.46/1.34 tff(f393,plain,( 7.46/1.34 summation(sK2) = max(summation(sK2),summation(sK2)) | spl6_15), 7.46/1.34 inference(resolution,[],[f177,f48])). 7.46/1.34 tff(f398,plain,( 7.46/1.34 ~spl6_33 | spl6_15), 7.46/1.34 inference(avatar_split_clause,[],[f392,f176,f396])). 7.46/1.34 tff(f392,plain,( 7.46/1.34 ~$less(summation(summation(sK2)),summation(summation(sK2))) | spl6_15), 7.46/1.34 inference(resolution,[],[f177,f49])). 7.46/1.34 tff(f368,plain,( 7.46/1.34 spl6_20 | spl6_32 | ~spl6_1), 7.46/1.34 inference(avatar_split_clause,[],[f363,f68,f366,f209])). 7.46/1.34 tff(f363,plain,( 7.46/1.34 ( ! [X0:$int] : ($less(X0,$sum(c,sK1)) | ~$less(X0,sK2) | $less(sK1,sK0)) ) | ~spl6_1), 7.46/1.34 inference(superposition,[],[f164,f48])). 7.46/1.34 tff(f353,plain,( 7.46/1.34 spl6_31 | ~spl6_13), 7.46/1.34 inference(avatar_split_clause,[],[f349,f159,f351])). 7.46/1.34 tff(f349,plain,( 7.46/1.34 $less(summation(summation(sK3(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_13), 7.46/1.34 inference(resolution,[],[f160,f50])). 7.46/1.34 tff(f343,plain,( 7.46/1.34 spl6_30 | ~spl6_12), 7.46/1.34 inference(avatar_split_clause,[],[f339,f150,f341])). 7.46/1.34 tff(f339,plain,( 7.46/1.34 $less(summation(summation(sK4(sK0,sK1,sK2))),summation(summation(sK2))) | ~spl6_12), 7.46/1.34 inference(resolution,[],[f151,f50])). 7.46/1.34 tff(f333,plain,( 7.46/1.34 spl6_29 | spl6_11), 7.46/1.34 inference(avatar_split_clause,[],[f321,f129,f331])). 7.46/1.34 tff(f321,plain,( 7.46/1.34 sK2 = max(sK2,$sum(c,sK5(sK0,sK1,sK2))) | spl6_11), 7.46/1.34 inference(resolution,[],[f130,f47])). 7.46/1.34 tff(f329,plain,( 7.46/1.34 spl6_28 | spl6_11), 7.46/1.34 inference(avatar_split_clause,[],[f320,f129,f327])). 7.46/1.34 tff(f320,plain,( 7.46/1.34 sK2 = max($sum(c,sK5(sK0,sK1,sK2)),sK2) | spl6_11), 7.46/1.34 inference(resolution,[],[f130,f48])). 7.46/1.34 tff(f325,plain,( 7.46/1.34 ~spl6_27 | spl6_11), 7.46/1.34 inference(avatar_split_clause,[],[f319,f129,f323])). 7.46/1.34 tff(f319,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,sK5(sK0,sK1,sK2)))) | spl6_11), 7.46/1.34 inference(resolution,[],[f130,f49])). 7.46/1.34 tff(f276,plain,( 7.46/1.34 spl6_4 | spl6_1 | ~spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f140,f80,f68,f83])). 7.46/1.34 tff(f140,plain,( 7.46/1.34 minsol_model_max(sK0,sK1,sK2) | model_max(sK0,sK1,sK4(sK0,sK1,sK2)) | ~spl6_3), 7.46/1.34 inference(resolution,[],[f105,f57])). 7.46/1.34 tff(f275,plain,( 7.46/1.34 ~spl6_2 | spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f137,f93,f71])). 7.46/1.34 tff(f137,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK2) | spl6_6), 7.46/1.34 inference(resolution,[],[f94,f51])). 7.46/1.34 tff(f274,plain,( 7.46/1.34 spl6_3 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f187,f116,f80])). 7.46/1.34 tff(f187,plain,( 7.46/1.34 model_max(sK0,sK1,sK2) | spl6_9), 7.46/1.34 inference(resolution,[],[f142,f60])). 7.46/1.34 tff(f273,plain,( 7.46/1.34 ~spl6_26 | ~spl6_10), 7.46/1.34 inference(avatar_split_clause,[],[f264,f125,f271])). 7.46/1.34 tff(f264,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK2),sK1) | ~spl6_10), 7.46/1.34 inference(resolution,[],[f126,f66])). 7.46/1.34 tff(f269,plain,( 7.46/1.34 ~spl6_25 | ~spl6_10), 7.46/1.34 inference(avatar_split_clause,[],[f263,f125,f267])). 7.46/1.34 tff(f263,plain,( 7.46/1.34 ~$less(sK5(sK0,sK1,sK2),sK0) | ~spl6_10), 7.46/1.34 inference(resolution,[],[f126,f65])). 7.46/1.34 tff(f259,plain,( 7.46/1.34 spl6_20 | spl6_21 | ~spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f254,f116,f212,f209])). 7.46/1.34 tff(f254,plain,( 7.46/1.34 $less(sK2,$sum(c,sK1)) | $less(sK1,sK0) | ~spl6_9), 7.46/1.34 inference(superposition,[],[f117,f48])). 7.46/1.34 tff(f257,plain,( 7.46/1.34 spl6_17 | ~spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f253,f116,f197])). 7.46/1.34 tff(f253,plain,( 7.46/1.34 $less(summation(sK2),summation($sum(c,max(sK0,sK1)))) | ~spl6_9), 7.46/1.34 inference(resolution,[],[f117,f50])). 7.46/1.34 tff(f236,plain,( 7.46/1.34 spl6_24 | ~spl6_22), 7.46/1.34 inference(avatar_split_clause,[],[f232,f216,f234])). 7.46/1.34 tff(f232,plain,( 7.46/1.34 $less(summation(sK0),summation(sK1)) | ~spl6_22), 7.46/1.34 inference(resolution,[],[f217,f50])). 7.46/1.34 tff(f217,plain,( 7.46/1.34 $less(sK0,sK1) | ~spl6_22), 7.46/1.34 inference(avatar_component_clause,[],[f216])). 7.46/1.34 tff(f223,plain,( 7.46/1.34 ~spl6_1 | spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f114,f80,f68])). 7.46/1.34 tff(f114,plain,( 7.46/1.34 ~minsol_model_max(sK0,sK1,sK2) | spl6_3), 7.46/1.34 inference(resolution,[],[f81,f55])). 7.46/1.34 tff(f81,plain,( 7.46/1.34 ~model_max(sK0,sK1,sK2) | spl6_3), 7.46/1.34 inference(avatar_component_clause,[],[f80])). 7.46/1.34 tff(f222,plain,( 7.46/1.34 spl6_7 | spl6_2 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f122,f93,f71,f96])). 7.46/1.34 tff(f221,plain,( 7.46/1.34 spl6_22 | ~spl6_23 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f195,f116,f219,f216])). 7.46/1.34 tff(f195,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK0)) | $less(sK0,sK1) | spl6_9), 7.46/1.34 inference(superposition,[],[f142,f47])). 7.46/1.34 tff(f214,plain,( 7.46/1.34 spl6_20 | ~spl6_21 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f194,f116,f212,f209])). 7.46/1.34 tff(f194,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK1)) | $less(sK1,sK0) | spl6_9), 7.46/1.34 inference(superposition,[],[f142,f48])). 7.46/1.34 tff(f207,plain,( 7.46/1.34 spl6_19 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f193,f116,f205])). 7.46/1.34 tff(f193,plain,( 7.46/1.34 sK2 = max(sK2,$sum(c,max(sK0,sK1))) | spl6_9), 7.46/1.34 inference(resolution,[],[f142,f47])). 7.46/1.34 tff(f203,plain,( 7.46/1.34 spl6_18 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f192,f116,f201])). 7.46/1.34 tff(f192,plain,( 7.46/1.34 sK2 = max($sum(c,max(sK0,sK1)),sK2) | spl6_9), 7.46/1.34 inference(resolution,[],[f142,f48])). 7.46/1.34 tff(f199,plain,( 7.46/1.34 ~spl6_17 | spl6_9), 7.46/1.34 inference(avatar_split_clause,[],[f191,f116,f197])). 7.46/1.34 tff(f191,plain,( 7.46/1.34 ~$less(summation(sK2),summation($sum(c,max(sK0,sK1)))) | spl6_9), 7.46/1.34 inference(resolution,[],[f142,f49])). 7.46/1.34 tff(f183,plain,( 7.46/1.34 spl6_16 | spl6_14), 7.46/1.34 inference(avatar_split_clause,[],[f174,f167,f180])). 7.46/1.34 tff(f167,plain,( 7.46/1.34 spl6_14 <=> $less(sK2,sK2)), 7.46/1.34 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 7.46/1.34 tff(f174,plain,( 7.46/1.34 sK2 = max(sK2,sK2) | spl6_14), 7.46/1.34 inference(resolution,[],[f168,f47])). 7.46/1.34 tff(f168,plain,( 7.46/1.34 ~$less(sK2,sK2) | spl6_14), 7.46/1.34 inference(avatar_component_clause,[],[f167])). 7.46/1.34 tff(f182,plain,( 7.46/1.34 spl6_16 | spl6_14), 7.46/1.34 inference(avatar_split_clause,[],[f173,f167,f180])). 7.46/1.34 tff(f173,plain,( 7.46/1.34 sK2 = max(sK2,sK2) | spl6_14), 7.46/1.34 inference(resolution,[],[f168,f48])). 7.46/1.34 tff(f178,plain,( 7.46/1.34 ~spl6_15 | spl6_14), 7.46/1.34 inference(avatar_split_clause,[],[f172,f167,f176])). 7.46/1.34 tff(f172,plain,( 7.46/1.34 ~$less(summation(sK2),summation(sK2)) | spl6_14), 7.46/1.34 inference(resolution,[],[f168,f49])). 7.46/1.34 tff(f169,plain,( 7.46/1.34 ~spl6_14 | ~spl6_1 | ~spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f162,f80,f68,f167])). 7.46/1.34 tff(f162,plain,( 7.46/1.34 ~$less(sK2,sK2) | (~spl6_1 | ~spl6_3)), 7.46/1.34 inference(resolution,[],[f104,f105])). 7.46/1.34 tff(f161,plain,( 7.46/1.34 spl6_13 | ~spl6_8), 7.46/1.34 inference(avatar_split_clause,[],[f157,f100,f159])). 7.46/1.34 tff(f157,plain,( 7.46/1.34 $less(summation(sK3(sK0,sK1,sK2)),summation(sK2)) | ~spl6_8), 7.46/1.34 inference(resolution,[],[f101,f50])). 7.46/1.34 tff(f152,plain,( 7.46/1.34 spl6_12 | ~spl6_5), 7.46/1.34 inference(avatar_split_clause,[],[f148,f87,f150])). 7.46/1.34 tff(f148,plain,( 7.46/1.34 $less(summation(sK4(sK0,sK1,sK2)),summation(sK2)) | ~spl6_5), 7.46/1.34 inference(resolution,[],[f88,f50])). 7.46/1.34 tff(f143,plain,( 7.46/1.34 ~spl6_9 | ~spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f138,f80,f116])). 7.46/1.34 tff(f138,plain,( 7.46/1.34 ~$less(sK2,$sum(c,max(sK0,sK1))) | ~spl6_3), 7.46/1.34 inference(resolution,[],[f105,f59])). 7.46/1.34 tff(f131,plain,( 7.46/1.34 ~spl6_11 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f120,f93,f129])). 7.46/1.34 tff(f120,plain,( 7.46/1.34 ~$less(sK2,$sum(c,sK5(sK0,sK1,sK2))) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f62])). 7.46/1.34 tff(f127,plain,( 7.46/1.34 spl6_10 | ~spl6_6), 7.46/1.34 inference(avatar_split_clause,[],[f119,f93,f125])). 7.46/1.34 tff(f119,plain,( 7.46/1.34 ub(sK0,sK1,sK5(sK0,sK1,sK2)) | ~spl6_6), 7.46/1.34 inference(resolution,[],[f111,f61])). 7.46/1.34 tff(f118,plain,( 7.46/1.34 spl6_9 | spl6_3), 7.46/1.34 inference(avatar_split_clause,[],[f113,f80,f116])). 7.46/1.34 tff(f113,plain,( 7.46/1.34 $less(sK2,$sum(c,max(sK0,sK1))) | spl6_3), 7.46/1.34 inference(resolution,[],[f81,f60])). 7.46/1.34 tff(f112,plain,( 7.46/1.34 spl6_6 | ~spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f109,f71,f93])). 7.46/1.34 tff(f109,plain,( 7.46/1.34 model_ub(sK0,sK1,sK2) | ~spl6_2), 7.46/1.34 inference(resolution,[],[f75,f51])). 7.46/1.34 tff(f106,plain,( 7.46/1.34 spl6_3 | ~spl6_1), 7.46/1.34 inference(avatar_split_clause,[],[f103,f68,f80])). 7.46/1.34 tff(f103,plain,( 7.46/1.34 model_max(sK0,sK1,sK2) | ~spl6_1), 7.46/1.34 inference(resolution,[],[f74,f55])). 7.46/1.34 tff(f102,plain,( 7.46/1.34 ~spl6_6 | spl6_8 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f91,f71,f100,f93])). 7.46/1.34 tff(f91,plain,( 7.46/1.34 $less(sK3(sK0,sK1,sK2),sK2) | ~model_ub(sK0,sK1,sK2) | spl6_2), 7.46/1.34 inference(resolution,[],[f72,f54])). 7.46/1.34 tff(f98,plain,( 7.46/1.34 ~spl6_6 | spl6_7 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f90,f71,f96,f93])). 7.46/1.34 tff(f89,plain,( 7.46/1.34 ~spl6_3 | spl6_5 | spl6_1), 7.46/1.34 inference(avatar_split_clause,[],[f78,f68,f87,f80])). 7.46/1.34 tff(f78,plain,( 7.46/1.34 $less(sK4(sK0,sK1,sK2),sK2) | ~model_max(sK0,sK1,sK2) | spl6_1), 7.46/1.34 inference(resolution,[],[f69,f58])). 7.46/1.34 tff(f85,plain,( 7.46/1.34 ~spl6_3 | spl6_4 | spl6_1), 7.46/1.34 inference(avatar_split_clause,[],[f77,f68,f83,f80])). 7.46/1.34 tff(f76,plain,( 7.46/1.34 spl6_1 | spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f45,f71,f68])). 7.46/1.34 tff(f45,plain,( 7.46/1.34 minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2)), 7.46/1.34 inference(cnf_transformation,[],[f26])). 7.46/1.34 tff(f26,plain,( 7.46/1.34 (~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)) & (minsol_model_ub(sK0,sK1,sK2) | minsol_model_max(sK0,sK1,sK2))), 7.46/1.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25])). 7.46/1.34 tff(f25,plain,( 7.46/1.34 ? [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)))), 7.46/1.34 introduced(choice_axiom,[])). 7.46/1.34 tff(f24,plain,( 7.46/1.34 ? [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)))), 7.46/1.34 inference(nnf_transformation,[],[f21])). 7.46/1.34 tff(f21,plain,( 7.46/1.34 ? [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <~> minsol_model_ub(X0,X1,X2))), 7.46/1.34 inference(ennf_transformation,[],[f19])). 7.46/1.34 tff(f19,plain,( 7.46/1.34 ~! [X0 : $int,X1 : $int,X2 : $int] : (minsol_model_max(X0,X1,X2) <=> minsol_model_ub(X0,X1,X2))), 7.46/1.34 inference(rectify,[],[f4])). 7.46/1.34 tff(f4,negated_conjecture,( 7.46/1.34 ~! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 7.46/1.34 inference(negated_conjecture,[],[f3])). 7.46/1.34 tff(f3,conjecture,( 7.46/1.34 ! [X0 : $int,X1 : $int,X3 : $int] : (minsol_model_max(X0,X1,X3) <=> minsol_model_ub(X0,X1,X3))), 7.46/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1)). 7.46/1.34 tff(f73,plain,( 7.46/1.34 ~spl6_1 | ~spl6_2), 7.46/1.34 inference(avatar_split_clause,[],[f46,f71,f68])). 7.46/1.34 tff(f46,plain,( 7.46/1.34 ~minsol_model_ub(sK0,sK1,sK2) | ~minsol_model_max(sK0,sK1,sK2)), 7.46/1.34 inference(cnf_transformation,[],[f26])). 7.46/1.34 % SZS output end Proof for theBenchmark 7.46/1.34 % (4261)------------------------------ 7.46/1.34 % (4261)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.46/1.34 % (4261)Termination reason: Refutation 7.46/1.34 7.46/1.34 % (4261)Memory used [KB]: 6908 7.46/1.34 % (4261)Time elapsed: 0.890 s 7.46/1.34 % (4261)------------------------------ 7.46/1.34 % (4261)------------------------------ 7.46/1.36 % (4232)Success in time 0.998 s 7.46/1.36 EOF