0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n017.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 07:30:06 EDT 2020 0.13/0.35 % CPUTime : 0.22/0.52 % (21991)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 0.22/0.53 % (22007)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 0.22/0.53 % (21986)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 0.22/0.53 % (21999)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 0.22/0.53 % (21996)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 0.22/0.54 % (21995)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 0.22/0.54 % (21985)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 0.22/0.54 % (22013)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 0.22/0.54 % (21989)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 0.22/0.54 % (21993)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 0.22/0.55 % (22014)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 0.22/0.55 % (22006)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 0.22/0.55 % (22003)WARNING: option uwaf not known. 0.22/0.55 % (22003)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 0.22/0.55 % (22008)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 0.22/0.55 % (21998)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 0.22/0.55 % (21987)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 0.22/0.55 % (21997)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 0.22/0.55 % (22000)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 0.22/0.55 % (22012)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 0.22/0.56 % (22001)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 0.22/0.56 % (22005)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 0.22/0.56 % (21990)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 0.22/0.56 % (22009)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 0.22/0.56 % (22010)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 0.22/0.56 % (21988)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 0.22/0.57 % (22011)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 0.22/0.57 % (22002)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 0.22/0.57 % (21992)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 1.50/0.58 % (21994)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 1.50/0.58 % (22004)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 3.72/0.93 % (21995)Time limit reached! 3.72/0.93 % (21995)------------------------------ 3.72/0.93 % (21995)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.72/0.93 % (21995)Termination reason: Time limit 3.72/0.93 3.72/0.93 % (21995)Memory used [KB]: 6780 3.72/0.93 % (21995)Time elapsed: 0.507 s 3.72/0.93 % (21995)------------------------------ 3.72/0.93 % (21995)------------------------------ 4.53/0.97 % (22014)Time limit reached! 4.53/0.97 % (22014)------------------------------ 4.53/0.97 % (22014)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.53/0.97 % (22014)Termination reason: Time limit 4.53/0.97 4.53/0.97 % (22014)Memory used [KB]: 13304 4.53/0.97 % (22014)Time elapsed: 0.511 s 4.53/0.97 % (22014)------------------------------ 4.53/0.97 % (22014)------------------------------ 4.53/0.99 % (22006)Time limit reached! 4.53/0.99 % (22006)------------------------------ 4.53/0.99 % (22006)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.53/0.99 % (22006)Termination reason: Time limit 4.53/0.99 4.53/0.99 % (22006)Memory used [KB]: 14583 4.53/0.99 % (22006)Time elapsed: 0.522 s 4.53/0.99 % (22006)------------------------------ 4.53/0.99 % (22006)------------------------------ 5.10/1.04 % (22011)Time limit reached! 5.10/1.04 % (22011)------------------------------ 5.10/1.04 % (22011)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.10/1.04 % (22011)Termination reason: Time limit 5.10/1.04 5.10/1.04 % (22011)Memory used [KB]: 15479 5.10/1.04 % (22011)Time elapsed: 0.614 s 5.10/1.04 % (22011)------------------------------ 5.10/1.04 % (22011)------------------------------ 5.10/1.06 % (21991)Time limit reached! 5.10/1.06 % (21991)------------------------------ 5.10/1.06 % (21991)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.10/1.06 % (22001)Time limit reached! 5.10/1.06 % (22001)------------------------------ 5.10/1.06 % (22001)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.10/1.06 % (22001)Termination reason: Time limit 5.10/1.06 % (22001)Termination phase: Saturation 5.10/1.06 5.10/1.06 % (22001)Memory used [KB]: 7931 5.10/1.06 % (22001)Time elapsed: 0.600 s 5.10/1.06 % (22001)------------------------------ 5.10/1.06 % (22001)------------------------------ 5.10/1.08 % (21991)Termination reason: Time limit 5.10/1.08 5.10/1.08 % (21991)Memory used [KB]: 8955 5.10/1.08 % (21991)Time elapsed: 0.627 s 5.10/1.08 % (21991)------------------------------ 5.10/1.08 % (21991)------------------------------ 5.58/1.11 % (22015)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 5.58/1.11 % (22016)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 5.58/1.13 % (22017)WARNING: option uwaf not known. 5.58/1.13 % (22017)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 6.18/1.18 % (22018)dis+11_3_afp=100000:afq=2.0:amm=sco:anc=none:gs=on:gsem=off:inw=on:lma=on:nm=64:nwc=1:sas=z3:sd=10:ss=axioms:st=5.0:sp=occurrence:tha=off:updr=off_202 on theBenchmark 6.18/1.23 % (22012)Time limit reached! 6.18/1.23 % (22012)------------------------------ 6.18/1.23 % (22012)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.18/1.23 % (22012)Termination reason: Time limit 6.18/1.23 6.18/1.23 % (22012)Memory used [KB]: 9210 6.18/1.23 % (22012)Time elapsed: 0.813 s 6.18/1.23 % (22012)------------------------------ 6.18/1.23 % (22012)------------------------------ 6.18/1.24 % (22019)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 6.18/1.26 % (22020)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 7.26/1.33 % (21997)Time limit reached! 7.26/1.33 % (21997)------------------------------ 7.26/1.33 % (21997)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.26/1.33 % (21997)Termination reason: Time limit 7.26/1.33 7.26/1.33 % (21997)Memory used [KB]: 10746 7.26/1.33 % (21997)Time elapsed: 0.913 s 7.26/1.33 % (21997)------------------------------ 7.26/1.33 % (21997)------------------------------ 7.53/1.37 % (22021)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 8.19/1.44 % (22000)Time limit reached! 8.19/1.44 % (22000)------------------------------ 8.19/1.44 % (22000)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.19/1.44 % (22000)Termination reason: Time limit 8.19/1.44 % (22000)Termination phase: Saturation 8.19/1.44 8.19/1.44 % (22000)Memory used [KB]: 11513 8.19/1.44 % (22000)Time elapsed: 1.0000 s 8.19/1.44 % (22000)------------------------------ 8.19/1.44 % (22000)------------------------------ 8.69/1.50 % (21998)Time limit reached! 8.69/1.50 % (21998)------------------------------ 8.69/1.50 % (21998)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.69/1.50 % (21998)Termination reason: Time limit 8.69/1.50 8.69/1.50 % (21998)Memory used [KB]: 6652 8.69/1.50 % (21998)Time elapsed: 1.024 s 8.69/1.50 % (21998)------------------------------ 8.69/1.50 % (21998)------------------------------ 8.69/1.52 % (22005)Time limit reached! 8.69/1.52 % (22005)------------------------------ 8.69/1.52 % (22005)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.69/1.52 % (22005)Termination reason: Time limit 8.69/1.52 8.69/1.52 % (22005)Memory used [KB]: 7547 8.69/1.52 % (22005)Time elapsed: 1.091 s 8.69/1.52 % (22005)------------------------------ 8.69/1.52 % (22005)------------------------------ 9.85/1.72 % (22008)Time limit reached! 9.85/1.72 % (22008)------------------------------ 9.85/1.72 % (22008)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.85/1.72 % (22008)Termination reason: Time limit 9.85/1.72 % (22008)Termination phase: Saturation 9.85/1.72 9.85/1.72 % (22008)Memory used [KB]: 11257 9.85/1.72 % (22008)Time elapsed: 1.300 s 9.85/1.72 % (22008)------------------------------ 9.85/1.72 % (22008)------------------------------ 10.59/1.75 % (21999)Time limit reached! 10.59/1.75 % (21999)------------------------------ 10.59/1.75 % (21999)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.59/1.75 % (21999)Termination reason: Time limit 10.59/1.75 10.59/1.75 % (21999)Memory used [KB]: 15479 10.59/1.75 % (21999)Time elapsed: 1.328 s 10.59/1.75 % (21999)------------------------------ 10.59/1.75 % (21999)------------------------------ 11.33/1.83 % (22016)Time limit reached! 11.33/1.83 % (22016)------------------------------ 11.33/1.83 % (22016)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 11.33/1.84 % (22016)Termination reason: Time limit 11.33/1.84 11.33/1.84 % (22016)Memory used [KB]: 10362 11.33/1.84 % (22016)Time elapsed: 0.831 s 11.33/1.84 % (22016)------------------------------ 11.33/1.84 % (22016)------------------------------ 12.90/2.03 % (21996)Time limit reached! 12.90/2.03 % (21996)------------------------------ 12.90/2.03 % (21996)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.90/2.03 % (21996)Termination reason: Time limit 12.90/2.03 12.90/2.03 % (21996)Memory used [KB]: 14839 12.90/2.03 % (21996)Time elapsed: 1.607 s 12.90/2.03 % (21996)------------------------------ 12.90/2.03 % (21996)------------------------------ 12.90/2.07 % (21992)Time limit reached! 12.90/2.07 % (21992)------------------------------ 12.90/2.07 % (21992)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.90/2.07 % (21992)Termination reason: Time limit 12.90/2.07 % (21992)Termination phase: Saturation 12.90/2.07 12.90/2.07 % (21992)Memory used [KB]: 15735 12.90/2.07 % (21992)Time elapsed: 1.624 s 12.90/2.07 % (21992)------------------------------ 12.90/2.07 % (21992)------------------------------ 13.59/2.13 % (21993)Time limit reached! 13.59/2.13 % (21993)------------------------------ 13.59/2.13 % (21993)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.59/2.14 % (21993)Termination reason: Time limit 13.59/2.14 % (21993)Termination phase: Saturation 13.59/2.14 13.59/2.14 % (21993)Memory used [KB]: 7803 13.59/2.14 % (21993)Time elapsed: 1.700 s 13.59/2.14 % (21993)------------------------------ 13.59/2.14 % (21993)------------------------------ 13.59/2.15 % (22019)Time limit reached! 13.59/2.15 % (22019)------------------------------ 13.59/2.15 % (22019)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.59/2.15 % (22019)Termination reason: Time limit 13.59/2.15 % (22019)Termination phase: Saturation 13.59/2.15 13.59/2.15 % (22019)Memory used [KB]: 11897 13.59/2.15 % (22019)Time elapsed: 1.025 s 13.59/2.15 % (22019)------------------------------ 13.59/2.15 % (22019)------------------------------ 15.41/2.35 % (21990)Time limit reached! 15.41/2.35 % (21990)------------------------------ 15.41/2.35 % (21990)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 15.41/2.35 % (21990)Termination reason: Time limit 15.41/2.35 % (21990)Termination phase: Saturation 15.41/2.35 15.41/2.35 % (21990)Memory used [KB]: 15735 15.41/2.35 % (21990)Time elapsed: 1.800 s 15.41/2.35 % (21990)------------------------------ 15.41/2.35 % (21990)------------------------------ 18.55/2.77 % (22007)Refutation found. Thanks to Tanya! 18.55/2.77 % SZS status Theorem for theBenchmark 18.55/2.77 % SZS output start Proof for theBenchmark 18.55/2.77 tff(type_def_5, type, uni: $tType). 18.55/2.77 tff(type_def_6, type, ty: $tType). 18.55/2.77 tff(type_def_7, type, bool: $tType). 18.55/2.77 tff(type_def_8, type, tuple0: $tType). 18.55/2.77 tff(type_def_9, type, color: $tType). 18.55/2.77 tff(type_def_10, type, array_color: $tType). 18.55/2.77 tff(type_def_11, type, map_int_color: $tType). 18.55/2.77 tff(func_def_0, type, witness: ty > uni). 18.55/2.77 tff(func_def_1, type, int: ty). 18.55/2.77 tff(func_def_2, type, real: ty). 18.55/2.77 tff(func_def_3, type, bool1: ty). 18.55/2.77 tff(func_def_4, type, true: bool). 18.55/2.77 tff(func_def_5, type, false: bool). 18.55/2.77 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 18.55/2.77 tff(func_def_7, type, tuple01: ty). 18.55/2.77 tff(func_def_8, type, tuple02: tuple0). 18.55/2.77 tff(func_def_9, type, qtmark: ty). 18.55/2.77 tff(func_def_10, type, ref: ty > ty). 18.55/2.77 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 18.55/2.77 tff(func_def_12, type, contents: (ty * uni) > uni). 18.55/2.77 tff(func_def_13, type, map: (ty * ty) > ty). 18.55/2.77 tff(func_def_14, type, get: (ty * ty * uni * uni) > uni). 18.55/2.77 tff(func_def_15, type, set: (ty * ty * uni * uni * uni) > uni). 18.55/2.77 tff(func_def_16, type, const: (ty * ty * uni) > uni). 18.55/2.77 tff(func_def_17, type, array: ty > ty). 18.55/2.77 tff(func_def_18, type, mk_array: (ty * $int * uni) > uni). 18.55/2.77 tff(func_def_19, type, length: (ty * uni) > $int). 18.55/2.77 tff(func_def_20, type, elts: (ty * uni) > uni). 18.55/2.77 tff(func_def_21, type, get1: (ty * uni * $int) > uni). 18.55/2.77 tff(func_def_22, type, t2tb: $int > uni). 18.55/2.77 tff(func_def_23, type, tb2t: uni > $int). 18.55/2.77 tff(func_def_24, type, set1: (ty * uni * $int * uni) > uni). 18.55/2.77 tff(func_def_25, type, make: (ty * $int * uni) > uni). 18.55/2.77 tff(func_def_26, type, occ: (ty * uni * uni * $int * $int) > $int). 18.55/2.77 tff(func_def_27, type, color1: ty). 18.55/2.77 tff(func_def_28, type, blue: color). 18.55/2.77 tff(func_def_29, type, white: color). 18.55/2.77 tff(func_def_30, type, red: color). 18.55/2.77 tff(func_def_31, type, match_color: (ty * color * uni * uni * uni) > uni). 18.55/2.77 tff(func_def_32, type, t2tb1: array_color > uni). 18.55/2.77 tff(func_def_33, type, tb2t1: uni > array_color). 18.55/2.77 tff(func_def_34, type, t2tb2: color > uni). 18.55/2.77 tff(func_def_35, type, tb2t2: uni > color). 18.55/2.77 tff(func_def_36, type, t2tb3: map_int_color > uni). 18.55/2.77 tff(func_def_37, type, tb2t3: uni > map_int_color). 18.55/2.77 tff(func_def_44, type, sK0: $int). 18.55/2.77 tff(func_def_45, type, sK1: map_int_color). 18.55/2.77 tff(func_def_46, type, sK2: $int). 18.55/2.77 tff(func_def_47, type, sK3: $int). 18.55/2.77 tff(func_def_48, type, sK4: $int). 18.55/2.77 tff(func_def_49, type, sK5: map_int_color). 18.55/2.77 tff(func_def_50, type, sK6: $int). 18.55/2.77 tff(func_def_51, type, sK7: (array_color * $int * $int * color) > $int). 18.55/2.77 tff(func_def_52, type, sK8: (ty * uni * uni * $int * $int) > uni). 18.55/2.77 tff(func_def_53, type, sK9: (ty * uni * uni * $int * $int) > $int). 18.55/2.77 tff(func_def_54, type, sK10: (ty * uni * uni * $int * $int) > $int). 18.55/2.77 tff(func_def_55, type, sK11: (ty * uni * uni * $int * $int) > $int). 18.55/2.77 tff(func_def_56, type, sK12: (ty * uni * uni * $int * $int * $int) > $int). 18.55/2.77 tff(func_def_57, type, sK13: (ty * uni * uni * $int * $int) > $int). 18.55/2.77 tff(func_def_58, type, sK14: (ty * uni * uni * $int * $int * $int * $int) > $int). 18.55/2.77 tff(pred_def_1, type, sort: (ty * uni) > $o). 18.55/2.77 tff(pred_def_2, type, exchange: (ty * uni * uni * $int * $int * $int * $int) > $o). 18.55/2.77 tff(pred_def_3, type, exchange1: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_4, type, permut: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_5, type, map_eq_sub: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_6, type, array_eq_sub: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_7, type, array_eq: (ty * uni * uni) > $o). 18.55/2.77 tff(pred_def_8, type, permut1: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_9, type, permut_sub: (ty * uni * uni * $int * $int) > $o). 18.55/2.77 tff(pred_def_10, type, permut_all: (ty * uni * uni) > $o). 18.55/2.77 tff(pred_def_11, type, monochrome: (array_color * $int * $int * color) > $o). 18.55/2.77 tff(f21738,plain,( 18.55/2.77 $false), 18.55/2.77 inference(avatar_sat_refutation,[],[f387,f392,f397,f402,f407,f412,f417,f422,f423,f428,f433,f438,f443,f449,f459,f464,f469,f474,f479,f489,f509,f643,f649,f657,f667,f678,f686,f699,f808,f844,f971,f977,f998,f1005,f1181,f1207,f1214,f1253,f1823,f1838,f1906,f2029,f2035,f4166,f4168,f4182,f4200,f4211,f4220,f4241,f4254,f4324,f4367,f4377,f4452,f4605,f4618,f4668,f4704,f4738,f4742,f4994,f5005,f5076,f5089,f5141,f5231,f5246,f5247,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5327,f6115,f6137,f6355,f6449,f6478,f6554,f6579,f6591,f6599,f6615,f6616,f6675,f7151,f7318,f7327,f7336,f7345,f7410,f7607,f7643,f7666,f7810,f7898,f8135,f8206,f9258,f10029,f11758,f11766,f11789,f11818,f11827,f12076,f12083,f12094,f13632,f17008,f17106,f17148,f19146,f19178,f19229,f19251,f19257,f19286,f19315,f19344,f19442,f19831,f19844,f21737])). 18.55/2.77 tff(f21737,plain,( 18.55/2.77 spl15_42 | ~spl15_122 | ~spl15_16 | spl15_23), 18.55/2.77 inference(avatar_split_clause,[],[f1620,f646,f466,f21734,f1903])). 18.55/2.77 tff(f1903,plain,( 18.55/2.77 spl15_42 <=> white = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white))))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_42])])). 18.55/2.77 tff(f21734,plain,( 18.55/2.77 spl15_122 <=> $less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK3)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_122])])). 18.55/2.77 tff(f466,plain,( 18.55/2.77 spl15_16 <=> monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK3,white)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_16])])). 18.55/2.77 tff(f646,plain,( 18.55/2.77 spl15_23 <=> $less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK4)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_23])])). 18.55/2.77 tff(f1620,plain,( 18.55/2.77 ~$less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK3) | white = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | (~spl15_16 | spl15_23)), 18.55/2.77 inference(resolution,[],[f897,f648])). 18.55/2.77 tff(f648,plain,( 18.55/2.77 ~$less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK4) | spl15_23), 18.55/2.77 inference(avatar_component_clause,[],[f646])). 18.55/2.77 tff(f897,plain,( 18.55/2.77 ( ! [X2:$int] : ($less(X2,sK4) | ~$less(X2,sK3) | white = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(X2)))) ) | ~spl15_16), 18.55/2.77 inference(forward_demodulation,[],[f891,f275])). 18.55/2.77 tff(f275,plain,( 18.55/2.77 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 18.55/2.77 inference(cnf_transformation,[],[f104])). 18.55/2.77 tff(f104,plain,( 18.55/2.77 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 18.55/2.77 inference(rectify,[],[f29])). 18.55/2.77 tff(f29,axiom,( 18.55/2.77 ! [X14 : uni] : t2tb1(tb2t1(X14)) = X14), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 18.55/2.77 tff(f891,plain,( 18.55/2.77 ( ! [X2:$int] : (~$less(X2,sK3) | $less(X2,sK4) | white = tb2t2(get(color1,int,elts(color1,t2tb1(tb2t1(mk_array(color1,sK0,t2tb3(sK5))))),t2tb(X2)))) ) | ~spl15_16), 18.55/2.77 inference(resolution,[],[f377,f468])). 18.55/2.77 tff(f468,plain,( 18.55/2.77 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK3,white) | ~spl15_16), 18.55/2.77 inference(avatar_component_clause,[],[f466])). 18.55/2.77 tff(f377,plain,( 18.55/2.77 ( ! [X4:$int,X2:$int,X0:array_color,X3:color,X1:$int] : (~monochrome(X0,X1,X2,X3) | ~$less(X4,X2) | $less(X4,X1) | tb2t2(get(color1,int,elts(color1,t2tb1(X0)),t2tb(X4))) = X3) )), 18.55/2.77 inference(definition_unfolding,[],[f314,f296])). 18.55/2.77 tff(f296,plain,( 18.55/2.77 ( ! [X2:$int,X0:ty,X1:uni] : (get1(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))) )), 18.55/2.77 inference(cnf_transformation,[],[f119])). 18.55/2.77 tff(f119,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : $int] : get1(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2))), 18.55/2.77 inference(rectify,[],[f27])). 18.55/2.77 tff(f27,axiom,( 18.55/2.77 ! [X0 : ty,X17 : uni,X9 : $int] : get1(X0,X17,X9) = get(X0,int,elts(X0,X17),t2tb(X9))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 18.55/2.77 tff(f314,plain,( 18.55/2.77 ( ! [X4:$int,X2:$int,X0:array_color,X3:color,X1:$int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | ~$less(X4,X2) | $less(X4,X1) | ~monochrome(X0,X1,X2,X3)) )), 18.55/2.77 inference(cnf_transformation,[],[f224])). 18.55/2.77 tff(f224,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : ((! [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | ~$less(X4,X2) | $less(X4,X1)) | ~monochrome(X0,X1,X2,X3)) & (monochrome(X0,X1,X2,X3) | (tb2t2(get1(color1,t2tb1(X0),sK7(X0,X1,X2,X3))) != X3 & $less(sK7(X0,X1,X2,X3),X2) & ~$less(sK7(X0,X1,X2,X3),X1))))), 18.55/2.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f222,f223])). 18.55/2.77 tff(f223,plain,( 18.55/2.77 ! [X3 : color,X2 : $int,X1 : $int,X0 : array_color] : (? [X5 : $int] : (tb2t2(get1(color1,t2tb1(X0),X5)) != X3 & $less(X5,X2) & ~$less(X5,X1)) => (tb2t2(get1(color1,t2tb1(X0),sK7(X0,X1,X2,X3))) != X3 & $less(sK7(X0,X1,X2,X3),X2) & ~$less(sK7(X0,X1,X2,X3),X1)))), 18.55/2.77 introduced(choice_axiom,[])). 18.55/2.77 tff(f222,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : ((! [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | ~$less(X4,X2) | $less(X4,X1)) | ~monochrome(X0,X1,X2,X3)) & (monochrome(X0,X1,X2,X3) | ? [X5 : $int] : (tb2t2(get1(color1,t2tb1(X0),X5)) != X3 & $less(X5,X2) & ~$less(X5,X1))))), 18.55/2.77 inference(rectify,[],[f221])). 18.55/2.77 tff(f221,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : ((! [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | ~$less(X4,X2) | $less(X4,X1)) | ~monochrome(X0,X1,X2,X3)) & (monochrome(X0,X1,X2,X3) | ? [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) != X3 & $less(X4,X2) & ~$less(X4,X1))))), 18.55/2.77 inference(nnf_transformation,[],[f178])). 18.55/2.77 tff(f178,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : (! [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | ~$less(X4,X2) | $less(X4,X1)) <=> monochrome(X0,X1,X2,X3))), 18.55/2.77 inference(flattening,[],[f177])). 18.55/2.77 tff(f177,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : (! [X4 : $int] : (tb2t2(get1(color1,t2tb1(X0),X4)) = X3 | (~$less(X4,X2) | $less(X4,X1))) <=> monochrome(X0,X1,X2,X3))), 18.55/2.77 inference(ennf_transformation,[],[f132])). 18.55/2.77 tff(f132,plain,( 18.55/2.77 ! [X0 : array_color,X1 : $int,X2 : $int,X3 : color] : (! [X4 : $int] : (($less(X4,X2) & ~$less(X4,X1)) => tb2t2(get1(color1,t2tb1(X0),X4)) = X3) <=> monochrome(X0,X1,X2,X3))), 18.55/2.77 inference(rectify,[],[f79])). 18.55/2.77 tff(f79,plain,( 18.55/2.77 ! [X0 : array_color,X9 : $int,X14 : $int,X15 : color] : (! [X16 : $int] : (($less(X16,X14) & ~$less(X16,X9)) => tb2t2(get1(color1,t2tb1(X0),X16)) = X15) <=> monochrome(X0,X9,X14,X15))), 18.55/2.77 inference(theory_normalization,[],[f9])). 18.55/2.77 tff(f9,axiom,( 18.55/2.77 ! [X0 : array_color,X9 : $int,X14 : $int,X15 : color] : (! [X16 : $int] : (($less(X16,X14) & $lesseq(X9,X16)) => tb2t2(get1(color1,t2tb1(X0),X16)) = X15) <=> monochrome(X0,X9,X14,X15))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monochrome_def)). 18.55/2.77 tff(f19844,plain,( 18.55/2.77 spl15_95 | spl15_121 | ~spl15_21), 18.55/2.77 inference(avatar_split_clause,[],[f19746,f637,f19842,f9253])). 18.55/2.77 tff(f9253,plain,( 18.55/2.77 spl15_95 <=> ! [X34 : uni,X35 : uni] : X34 = X35), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_95])])). 18.55/2.77 tff(f19842,plain,( 18.55/2.77 spl15_121 <=> ! [X3 : ty,X4 : uni] : $less(0,occ(X3,get(X3,int,X4,t2tb(0)),X4,0,sK0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_121])])). 18.55/2.77 tff(f637,plain,( 18.55/2.77 spl15_21 <=> $less(0,sK0)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_21])])). 18.55/2.77 tff(f19746,plain,( 18.55/2.77 ( ! [X4:uni,X0:uni,X5:uni,X3:ty] : ($less(0,occ(X3,get(X3,int,X4,t2tb(0)),X4,0,sK0)) | X0 = X5) ) | ~spl15_21), 18.55/2.77 inference(superposition,[],[f19730,f8835])). 18.55/2.77 tff(f8835,plain,( 18.55/2.77 ( ! [X14:uni,X12:uni,X13:$int,X11:uni] : (0 = occ(int,X11,X14,X13,X13) | X11 = X12) )), 18.55/2.77 inference(superposition,[],[f7688,f2416])). 18.55/2.77 tff(f2416,plain,( 18.55/2.77 ( ! [X4:uni,X2:uni,X0:ty,X3:$int,X1:uni] : (occ(X0,X1,X2,X3,X3) = occ(X0,X1,X4,X3,X3)) )), 18.55/2.77 inference(trivial_inequality_removal,[],[f2415])). 18.55/2.77 tff(f2415,plain,( 18.55/2.77 ( ! [X4:uni,X2:uni,X0:ty,X3:$int,X1:uni] : (occ(X0,X1,X4,X3,X3) != occ(X0,X1,X4,X3,X3) | occ(X0,X1,X2,X3,X3) = occ(X0,X1,X4,X3,X3)) )), 18.55/2.77 inference(equality_factoring,[],[f848])). 18.55/2.77 tff(f848,plain,( 18.55/2.77 ( ! [X14:uni,X12:$int,X10:uni,X13:uni,X11:uni,X9:ty] : (occ(X9,X10,X11,X12,X12) = occ(X9,X10,X13,X12,X12) | occ(X9,X14,X11,X12,X12) = occ(X9,X14,X13,X12,X12)) )), 18.55/2.77 inference(resolution,[],[f358,f357])). 18.55/2.77 tff(f357,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:uni,X1:uni] : (~$less(sK13(X0,X2,X3,X4,X5),X4) | occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5)) )), 18.55/2.77 inference(cnf_transformation,[],[f242])). 18.55/2.77 tff(f242,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni,X4 : $int,X5 : $int] : (occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5) | (get(X0,int,X2,t2tb(sK13(X0,X2,X3,X4,X5))) != get(X0,int,X3,t2tb(sK13(X0,X2,X3,X4,X5))) & $less(sK13(X0,X2,X3,X4,X5),X5) & ~$less(sK13(X0,X2,X3,X4,X5),X4)))), 18.55/2.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f210,f241])). 18.55/2.77 tff(f241,plain,( 18.55/2.77 ! [X5 : $int,X4 : $int,X3 : uni,X2 : uni,X0 : ty] : (? [X6 : $int] : (get(X0,int,X2,t2tb(X6)) != get(X0,int,X3,t2tb(X6)) & $less(X6,X5) & ~$less(X6,X4)) => (get(X0,int,X2,t2tb(sK13(X0,X2,X3,X4,X5))) != get(X0,int,X3,t2tb(sK13(X0,X2,X3,X4,X5))) & $less(sK13(X0,X2,X3,X4,X5),X5) & ~$less(sK13(X0,X2,X3,X4,X5),X4)))), 18.55/2.77 introduced(choice_axiom,[])). 18.55/2.77 tff(f210,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni,X4 : $int,X5 : $int] : (occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5) | ? [X6 : $int] : (get(X0,int,X2,t2tb(X6)) != get(X0,int,X3,t2tb(X6)) & $less(X6,X5) & ~$less(X6,X4)))), 18.55/2.77 inference(flattening,[],[f209])). 18.55/2.77 tff(f209,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni,X4 : $int,X5 : $int] : (occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5) | ? [X6 : $int] : (get(X0,int,X2,t2tb(X6)) != get(X0,int,X3,t2tb(X6)) & ($less(X6,X5) & ~$less(X6,X4))))), 18.55/2.77 inference(ennf_transformation,[],[f155])). 18.55/2.77 tff(f155,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni,X4 : $int,X5 : $int] : (! [X6 : $int] : (($less(X6,X5) & ~$less(X6,X4)) => get(X0,int,X2,t2tb(X6)) = get(X0,int,X3,t2tb(X6))) => occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5))), 18.55/2.77 inference(rectify,[],[f93])). 18.55/2.77 tff(f93,plain,( 18.55/2.77 ! [X0 : ty,X11 : uni,X12 : uni,X13 : uni,X7 : $int,X8 : $int] : (! [X9 : $int] : (($less(X9,X8) & ~$less(X9,X7)) => get(X0,int,X12,t2tb(X9)) = get(X0,int,X13,t2tb(X9))) => occ(X0,X11,X12,X7,X8) = occ(X0,X11,X13,X7,X8))), 18.55/2.77 inference(theory_normalization,[],[f5])). 18.55/2.77 tff(f5,axiom,( 18.55/2.77 ! [X0 : ty,X11 : uni,X12 : uni,X13 : uni,X7 : $int,X8 : $int] : (! [X9 : $int] : (($less(X9,X8) & $lesseq(X7,X9)) => get(X0,int,X12,t2tb(X9)) = get(X0,int,X13,t2tb(X9))) => occ(X0,X11,X12,X7,X8) = occ(X0,X11,X13,X7,X8))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_eq)). 18.55/2.77 tff(f358,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:uni,X1:uni] : ($less(sK13(X0,X2,X3,X4,X5),X5) | occ(X0,X1,X2,X4,X5) = occ(X0,X1,X3,X4,X5)) )), 18.55/2.77 inference(cnf_transformation,[],[f242])). 18.55/2.77 tff(f7688,plain,( 18.55/2.77 ( ! [X30:uni,X33:$int,X31:uni,X32:$int] : (0 = occ(int,X31,const(int,int,X30),X32,X33) | X30 = X31) )), 18.55/2.77 inference(global_subsumption,[],[f450,f7675])). 18.55/2.77 tff(f7675,plain,( 18.55/2.77 ( ! [X30:uni,X33:$int,X31:uni,X32:$int] : (X30 = X31 | 0 = occ(int,X31,const(int,int,X30),X32,X33) | ~sort(int,X30)) )), 18.55/2.77 inference(superposition,[],[f926,f310])). 18.55/2.77 tff(f310,plain,( 18.55/2.77 ( ! [X2:uni,X0:ty,X3:uni,X1:ty] : (get(X1,X0,const(X1,X0,X2),X3) = X2 | ~sort(X1,X2)) )), 18.55/2.77 inference(cnf_transformation,[],[f176])). 18.55/2.77 tff(f176,plain,( 18.55/2.77 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (get(X1,X0,const(X1,X0,X2),X3) = X2 | ~sort(X1,X2))), 18.55/2.77 inference(ennf_transformation,[],[f131])). 18.55/2.77 tff(f131,plain,( 18.55/2.77 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (sort(X1,X2) => get(X1,X0,const(X1,X0,X2),X3) = X2)), 18.55/2.77 inference(rectify,[],[f58])). 18.55/2.77 tff(f58,axiom,( 18.55/2.77 ! [X0 : ty,X20 : ty,X22 : uni,X17 : uni] : (sort(X20,X22) => get(X20,X0,const(X20,X0,X22),X17) = X22)), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const1)). 18.55/2.77 tff(f926,plain,( 18.55/2.77 ( ! [X33:$int,X31:uni,X34:$int,X32:uni] : (get(int,int,X31,t2tb(sK10(int,X32,X31,X33,X34))) = X32 | 0 = occ(int,X32,X31,X33,X34)) )), 18.55/2.77 inference(resolution,[],[f331,f450])). 18.55/2.77 tff(f331,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (~sort(X0,X1) | get(X0,int,X2,t2tb(sK10(X0,X1,X2,X3,X4))) = X1 | 0 = occ(X0,X1,X2,X3,X4)) )), 18.55/2.77 inference(cnf_transformation,[],[f230])). 18.55/2.77 tff(f230,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ(X0,X1,X2,X3,X4) | (get(X0,int,X2,t2tb(sK10(X0,X1,X2,X3,X4))) = X1 & $less(sK10(X0,X1,X2,X3,X4),X4) & ~$less(sK10(X0,X1,X2,X3,X4),X3)) | ~sort(X0,X1))), 18.55/2.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f191,f229])). 18.55/2.77 tff(f229,plain,( 18.55/2.77 ! [X4 : $int,X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & $less(X5,X4) & ~$less(X5,X3)) => (get(X0,int,X2,t2tb(sK10(X0,X1,X2,X3,X4))) = X1 & $less(sK10(X0,X1,X2,X3,X4),X4) & ~$less(sK10(X0,X1,X2,X3,X4),X3)))), 18.55/2.77 introduced(choice_axiom,[])). 18.55/2.77 tff(f191,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & $less(X5,X4) & ~$less(X5,X3)) | ~sort(X0,X1))), 18.55/2.77 inference(flattening,[],[f190])). 18.55/2.77 tff(f190,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((0 = occ(X0,X1,X2,X3,X4) | ? [X5 : $int] : (get(X0,int,X2,t2tb(X5)) = X1 & ($less(X5,X4) & ~$less(X5,X3)))) | ~sort(X0,X1))), 18.55/2.77 inference(ennf_transformation,[],[f142])). 18.55/2.77 tff(f142,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (sort(X0,X1) => (! [X5 : $int] : (($less(X5,X4) & ~$less(X5,X3)) => get(X0,int,X2,t2tb(X5)) != X1) => 0 = occ(X0,X1,X2,X3,X4)))), 18.55/2.77 inference(rectify,[],[f85])). 18.55/2.77 tff(f85,plain,( 18.55/2.77 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (sort(X0,X11) => (! [X9 : $int] : (($less(X9,X8) & ~$less(X9,X7)) => get(X0,int,X6,t2tb(X9)) != X11) => 0 = occ(X0,X11,X6,X7,X8)))), 18.55/2.77 inference(theory_normalization,[],[f45])). 18.55/2.77 tff(f45,axiom,( 18.55/2.77 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (sort(X0,X11) => (! [X9 : $int] : (($less(X9,X8) & $lesseq(X7,X9)) => get(X0,int,X6,t2tb(X9)) != X11) => 0 = occ(X0,X11,X6,X7,X8)))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_neq)). 18.55/2.77 tff(f450,plain,( 18.55/2.77 ( ! [X1:uni] : (sort(int,X1)) )), 18.55/2.77 inference(superposition,[],[f271,f277])). 18.55/2.77 tff(f277,plain,( 18.55/2.77 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 18.55/2.77 inference(cnf_transformation,[],[f106])). 18.55/2.77 tff(f106,plain,( 18.55/2.77 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 18.55/2.77 inference(rectify,[],[f52])). 18.55/2.77 tff(f52,axiom,( 18.55/2.77 ! [X14 : uni] : t2tb(tb2t(X14)) = X14), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 18.55/2.77 tff(f271,plain,( 18.55/2.77 ( ! [X0:$int] : (sort(int,t2tb(X0))) )), 18.55/2.77 inference(cnf_transformation,[],[f100])). 18.55/2.77 tff(f100,plain,( 18.55/2.77 ! [X0 : $int] : sort(int,t2tb(X0))), 18.55/2.77 inference(rectify,[],[f34])). 18.55/2.77 tff(f34,axiom,( 18.55/2.77 ! [X1 : $int] : sort(int,t2tb(X1))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 18.55/2.77 tff(f19730,plain,( 18.55/2.77 ( ! [X47:uni,X50:$int,X48:uni,X46:ty,X49:uni] : ($less(0,occ(X46,get(X46,int,X47,t2tb(0)),X47,occ(int,X48,X49,X50,X50),sK0))) ) | ~spl15_21), 18.55/2.77 inference(resolution,[],[f1391,f450])). 18.55/2.77 tff(f1391,plain,( 18.55/2.77 ( ! [X14:uni,X12:uni,X15:uni,X13:ty,X11:ty,X16:$int] : (~sort(X13,X14) | $less(0,occ(X11,get(X11,int,X12,t2tb(0)),X12,occ(X13,X14,X15,X16,X16),sK0))) ) | ~spl15_21), 18.55/2.77 inference(resolution,[],[f792,f759])). 18.55/2.77 tff(f759,plain,( 18.55/2.77 ( ! [X2:uni,X0:ty,X3:$int,X1:uni] : (~$less(0,occ(X0,X1,X2,X3,X3)) | ~sort(X0,X1)) )), 18.55/2.77 inference(duplicate_literal_removal,[],[f758])). 18.55/2.77 tff(f758,plain,( 18.55/2.77 ( ! [X2:uni,X0:ty,X3:$int,X1:uni] : (~$less(0,occ(X0,X1,X2,X3,X3)) | ~sort(X0,X1) | ~$less(0,occ(X0,X1,X2,X3,X3)) | ~sort(X0,X1)) )), 18.55/2.77 inference(resolution,[],[f328,f326])). 18.55/2.77 tff(f326,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (~$less(sK9(X0,X1,X2,X3,X4),X3) | ~$less(0,occ(X0,X1,X2,X3,X4)) | ~sort(X0,X1)) )), 18.55/2.77 inference(cnf_transformation,[],[f228])). 18.55/2.77 tff(f228,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (($less(sK9(X0,X1,X2,X3,X4),X4) & get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 & ~$less(sK9(X0,X1,X2,X3,X4),X3)) | ~$less(0,occ(X0,X1,X2,X3,X4)) | ~sort(X0,X1))), 18.55/2.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f189,f227])). 18.55/2.77 tff(f227,plain,( 18.55/2.77 ! [X4 : $int,X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X5 : $int] : ($less(X5,X4) & get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3)) => ($less(sK9(X0,X1,X2,X3,X4),X4) & get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 & ~$less(sK9(X0,X1,X2,X3,X4),X3)))), 18.55/2.77 introduced(choice_axiom,[])). 18.55/2.77 tff(f189,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (? [X5 : $int] : ($less(X5,X4) & get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3)) | ~$less(0,occ(X0,X1,X2,X3,X4)) | ~sort(X0,X1))), 18.55/2.77 inference(flattening,[],[f188])). 18.55/2.77 tff(f188,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((? [X5 : $int] : ($less(X5,X4) & get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3)) | ~$less(0,occ(X0,X1,X2,X3,X4))) | ~sort(X0,X1))), 18.55/2.77 inference(ennf_transformation,[],[f141])). 18.55/2.77 tff(f141,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (sort(X0,X1) => ($less(0,occ(X0,X1,X2,X3,X4)) => ? [X5 : $int] : ($less(X5,X4) & get(X0,int,X2,t2tb(X5)) = X1 & ~$less(X5,X3))))), 18.55/2.77 inference(rectify,[],[f84])). 18.55/2.77 tff(f84,plain,( 18.55/2.77 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (sort(X0,X11) => ($less(0,occ(X0,X11,X6,X7,X8)) => ? [X9 : $int] : ($less(X9,X8) & get(X0,int,X6,t2tb(X9)) = X11 & ~$less(X9,X7))))), 18.55/2.77 inference(theory_normalization,[],[f47])). 18.55/2.77 tff(f47,axiom,( 18.55/2.77 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (sort(X0,X11) => ($less(0,occ(X0,X11,X6,X7,X8)) => ? [X9 : $int] : ($less(X9,X8) & get(X0,int,X6,t2tb(X9)) = X11 & $lesseq(X7,X9))))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_exists)). 18.55/2.77 tff(f328,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(sK9(X0,X1,X2,X3,X4),X4) | ~$less(0,occ(X0,X1,X2,X3,X4)) | ~sort(X0,X1)) )), 18.55/2.77 inference(cnf_transformation,[],[f228])). 18.55/2.77 tff(f792,plain,( 18.55/2.77 ( ! [X10:$int,X8:ty,X9:uni] : ($less(0,X10) | $less(0,occ(X8,get(X8,int,X9,t2tb(0)),X9,X10,sK0))) ) | ~spl15_21), 18.55/2.77 inference(resolution,[],[f333,f639])). 18.55/2.77 tff(f639,plain,( 18.55/2.77 $less(0,sK0) | ~spl15_21), 18.55/2.77 inference(avatar_component_clause,[],[f637])). 18.55/2.77 tff(f333,plain,( 18.55/2.77 ( ! [X4:$int,X2:$int,X0:ty,X3:$int,X1:uni] : (~$less(X4,X3) | $less(0,occ(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | $less(X4,X2)) )), 18.55/2.77 inference(cnf_transformation,[],[f194])). 18.55/2.77 tff(f194,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | ~$less(X4,X3) | $less(X4,X2))), 18.55/2.77 inference(flattening,[],[f193])). 18.55/2.77 tff(f193,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)) | (~$less(X4,X3) | $less(X4,X2)))), 18.55/2.77 inference(ennf_transformation,[],[f144])). 18.55/2.77 tff(f144,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : (($less(X4,X3) & ~$less(X4,X2)) => $less(0,occ(X0,get(X0,int,X1,t2tb(X4)),X1,X2,X3)))), 18.55/2.77 inference(rectify,[],[f86])). 18.55/2.77 tff(f86,plain,( 18.55/2.77 ! [X0 : ty,X6 : uni,X7 : $int,X8 : $int,X9 : $int] : (($less(X9,X8) & ~$less(X9,X7)) => $less(0,occ(X0,get(X0,int,X6,t2tb(X9)),X6,X7,X8)))), 18.55/2.77 inference(theory_normalization,[],[f3])). 18.55/2.77 tff(f3,axiom,( 18.55/2.77 ! [X0 : ty,X6 : uni,X7 : $int,X8 : $int,X9 : $int] : (($less(X9,X8) & $lesseq(X7,X9)) => $less(0,occ(X0,get(X0,int,X6,t2tb(X9)),X6,X7,X8)))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_pos)). 18.55/2.77 tff(f19831,plain,( 18.55/2.77 spl15_95 | spl15_120 | ~spl15_21 | ~spl15_64 | ~spl15_73), 18.55/2.77 inference(avatar_split_clause,[],[f19823,f5324,f4665,f637,f19828,f9253])). 18.55/2.77 tff(f19828,plain,( 18.55/2.77 spl15_120 <=> $less(0,occ(color1,t2tb2(blue),t2tb3(sK1),0,sK0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_120])])). 18.55/2.77 tff(f4665,plain,( 18.55/2.77 spl15_64 <=> permut(color1,t2tb3(sK1),t2tb3(sK5),0,sK0)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_64])])). 18.55/2.77 tff(f5324,plain,( 18.55/2.77 spl15_73 <=> t2tb2(blue) = get(color1,int,t2tb3(sK5),t2tb(0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_73])])). 18.55/2.77 tff(f19823,plain,( 18.55/2.77 ( ! [X0:uni,X3:uni] : ($less(0,occ(color1,t2tb2(blue),t2tb3(sK1),0,sK0)) | X0 = X3) ) | (~spl15_21 | ~spl15_64 | ~spl15_73)), 18.55/2.77 inference(forward_demodulation,[],[f19809,f4669])). 18.55/2.77 tff(f4669,plain,( 18.55/2.77 ( ! [X0:uni] : (occ(color1,X0,t2tb3(sK1),0,sK0) = occ(color1,X0,t2tb3(sK5),0,sK0)) ) | ~spl15_64), 18.55/2.77 inference(resolution,[],[f4667,f319])). 18.55/2.77 tff(f319,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X5:uni,X3:$int,X1:uni] : (~permut(X0,X1,X2,X3,X4) | occ(X0,X5,X1,X3,X4) = occ(X0,X5,X2,X3,X4)) )), 18.55/2.77 inference(cnf_transformation,[],[f226])). 18.55/2.77 tff(f226,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((! [X5 : uni] : occ(X0,X5,X1,X3,X4) = occ(X0,X5,X2,X3,X4) | ~permut(X0,X1,X2,X3,X4)) & (permut(X0,X1,X2,X3,X4) | (occ(X0,sK8(X0,X1,X2,X3,X4),X1,X3,X4) != occ(X0,sK8(X0,X1,X2,X3,X4),X2,X3,X4) & sort(X0,sK8(X0,X1,X2,X3,X4)))))), 18.55/2.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f179,f225])). 18.55/2.77 tff(f225,plain,( 18.55/2.77 ! [X4 : $int,X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X6 : uni] : (occ(X0,X6,X1,X3,X4) != occ(X0,X6,X2,X3,X4) & sort(X0,X6)) => (occ(X0,sK8(X0,X1,X2,X3,X4),X1,X3,X4) != occ(X0,sK8(X0,X1,X2,X3,X4),X2,X3,X4) & sort(X0,sK8(X0,X1,X2,X3,X4))))), 18.55/2.77 introduced(choice_axiom,[])). 18.55/2.77 tff(f179,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((! [X5 : uni] : occ(X0,X5,X1,X3,X4) = occ(X0,X5,X2,X3,X4) | ~permut(X0,X1,X2,X3,X4)) & (permut(X0,X1,X2,X3,X4) | ? [X6 : uni] : (occ(X0,X6,X1,X3,X4) != occ(X0,X6,X2,X3,X4) & sort(X0,X6))))), 18.55/2.77 inference(ennf_transformation,[],[f135])). 18.55/2.77 tff(f135,plain,( 18.55/2.77 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((permut(X0,X1,X2,X3,X4) => ! [X5 : uni] : occ(X0,X5,X1,X3,X4) = occ(X0,X5,X2,X3,X4)) & (! [X6 : uni] : (sort(X0,X6) => occ(X0,X6,X1,X3,X4) = occ(X0,X6,X2,X3,X4)) => permut(X0,X1,X2,X3,X4)))), 18.55/2.77 inference(rectify,[],[f16])). 18.55/2.77 tff(f16,axiom,( 18.55/2.77 ! [X0 : ty,X12 : uni,X13 : uni,X7 : $int,X8 : $int] : ((permut(X0,X12,X13,X7,X8) => ! [X11 : uni] : occ(X0,X11,X12,X7,X8) = occ(X0,X11,X13,X7,X8)) & (! [X11 : uni] : (sort(X0,X11) => occ(X0,X11,X12,X7,X8) = occ(X0,X11,X13,X7,X8)) => permut(X0,X12,X13,X7,X8)))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_def)). 18.55/2.77 tff(f4667,plain,( 18.55/2.77 permut(color1,t2tb3(sK1),t2tb3(sK5),0,sK0) | ~spl15_64), 18.55/2.77 inference(avatar_component_clause,[],[f4665])). 18.55/2.77 tff(f19809,plain,( 18.55/2.77 ( ! [X0:uni,X3:uni] : ($less(0,occ(color1,t2tb2(blue),t2tb3(sK5),0,sK0)) | X0 = X3) ) | (~spl15_21 | ~spl15_73)), 18.55/2.77 inference(superposition,[],[f19741,f8835])). 18.55/2.77 tff(f19741,plain,( 18.55/2.77 ( ! [X2:$int,X0:uni,X1:uni] : ($less(0,occ(color1,t2tb2(blue),t2tb3(sK5),occ(int,X0,X1,X2,X2),sK0))) ) | (~spl15_21 | ~spl15_73)), 18.55/2.77 inference(superposition,[],[f19730,f5326])). 18.55/2.77 tff(f5326,plain,( 18.55/2.77 t2tb2(blue) = get(color1,int,t2tb3(sK5),t2tb(0)) | ~spl15_73), 18.55/2.77 inference(avatar_component_clause,[],[f5324])). 18.55/2.77 tff(f19442,plain,( 18.55/2.77 ~spl15_114 | spl15_119 | ~spl15_68), 18.55/2.77 inference(avatar_split_clause,[],[f4995,f4991,f19439,f19244])). 18.55/2.77 tff(f19244,plain,( 18.55/2.77 spl15_114 <=> sort(color1,t2tb2(white))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_114])])). 18.55/2.77 tff(f19439,plain,( 18.55/2.77 spl15_119 <=> t2tb2(white) = get(color1,int,t2tb3(sK1),t2tb(sK9(color1,t2tb2(white),t2tb3(sK1),0,sK0)))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_119])])). 18.55/2.77 tff(f4991,plain,( 18.55/2.77 spl15_68 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK1),0,sK0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_68])])). 18.55/2.77 tff(f4995,plain,( 18.55/2.77 t2tb2(white) = get(color1,int,t2tb3(sK1),t2tb(sK9(color1,t2tb2(white),t2tb3(sK1),0,sK0))) | ~sort(color1,t2tb2(white)) | ~spl15_68), 18.55/2.77 inference(resolution,[],[f4993,f327])). 18.55/2.77 tff(f327,plain,( 18.55/2.77 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (~$less(0,occ(X0,X1,X2,X3,X4)) | get(X0,int,X2,t2tb(sK9(X0,X1,X2,X3,X4))) = X1 | ~sort(X0,X1)) )), 18.55/2.77 inference(cnf_transformation,[],[f228])). 18.55/2.77 tff(f4993,plain,( 18.55/2.77 $less(0,occ(color1,t2tb2(white),t2tb3(sK1),0,sK0)) | ~spl15_68), 18.55/2.77 inference(avatar_component_clause,[],[f4991])). 18.55/2.77 tff(f19344,plain,( 18.55/2.77 ~spl15_114 | spl15_118 | ~spl15_38), 18.55/2.77 inference(avatar_split_clause,[],[f1222,f1211,f19341,f19244])). 18.55/2.77 tff(f19341,plain,( 18.55/2.77 spl15_118 <=> t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),sK4,sK0)))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_118])])). 18.55/2.77 tff(f1211,plain,( 18.55/2.77 spl15_38 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_38])])). 18.55/2.77 tff(f1222,plain,( 18.55/2.77 t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),sK4,sK0))) | ~sort(color1,t2tb2(white)) | ~spl15_38), 18.55/2.77 inference(resolution,[],[f1213,f327])). 18.55/2.77 tff(f1213,plain,( 18.55/2.77 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK0)) | ~spl15_38), 18.55/2.77 inference(avatar_component_clause,[],[f1211])). 18.55/2.77 tff(f19315,plain,( 18.55/2.77 ~spl15_114 | spl15_117 | ~spl15_36), 18.55/2.77 inference(avatar_split_clause,[],[f1182,f1178,f19312,f19244])). 18.55/2.77 tff(f19312,plain,( 18.55/2.77 spl15_117 <=> t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),0,sK0)))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_117])])). 18.55/2.77 tff(f1178,plain,( 18.55/2.77 spl15_36 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK0))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_36])])). 18.55/2.77 tff(f1182,plain,( 18.55/2.77 t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),0,sK0))) | ~sort(color1,t2tb2(white)) | ~spl15_36), 18.55/2.77 inference(resolution,[],[f1180,f327])). 18.55/2.77 tff(f1180,plain,( 18.55/2.77 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK0)) | ~spl15_36), 18.55/2.77 inference(avatar_component_clause,[],[f1178])). 18.55/2.77 tff(f19286,plain,( 18.55/2.77 ~spl15_114 | spl15_116 | ~spl15_35), 18.55/2.77 inference(avatar_split_clause,[],[f1009,f1002,f19283,f19244])). 18.55/2.77 tff(f19283,plain,( 18.55/2.77 spl15_116 <=> t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),sK4,sK2)))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_116])])). 18.55/2.77 tff(f1002,plain,( 18.55/2.77 spl15_35 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK2))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_35])])). 18.55/2.77 tff(f1009,plain,( 18.55/2.77 t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),sK4,sK2))) | ~sort(color1,t2tb2(white)) | ~spl15_35), 18.55/2.77 inference(resolution,[],[f1004,f327])). 18.55/2.77 tff(f1004,plain,( 18.55/2.77 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK2)) | ~spl15_35), 18.55/2.77 inference(avatar_component_clause,[],[f1002])). 18.55/2.77 tff(f19257,plain,( 18.55/2.77 spl15_114), 18.55/2.77 inference(avatar_contradiction_clause,[],[f19252])). 18.55/2.77 tff(f19252,plain,( 18.55/2.77 $false | spl15_114), 18.55/2.77 inference(resolution,[],[f19246,f270])). 18.55/2.77 tff(f270,plain,( 18.55/2.77 ( ! [X0:color] : (sort(color1,t2tb2(X0))) )), 18.55/2.77 inference(cnf_transformation,[],[f99])). 18.55/2.77 tff(f99,plain,( 18.55/2.77 ! [X0 : color] : sort(color1,t2tb2(X0))), 18.55/2.77 inference(rectify,[],[f66])). 18.55/2.77 tff(f66,axiom,( 18.55/2.77 ! [X1 : color] : sort(color1,t2tb2(X1))), 18.55/2.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 18.55/2.77 tff(f19246,plain,( 18.55/2.77 ~sort(color1,t2tb2(white)) | spl15_114), 18.55/2.77 inference(avatar_component_clause,[],[f19244])). 18.55/2.77 tff(f19251,plain,( 18.55/2.77 ~spl15_114 | spl15_115 | ~spl15_33), 18.55/2.77 inference(avatar_split_clause,[],[f979,f974,f19248,f19244])). 18.55/2.77 tff(f19248,plain,( 18.55/2.77 spl15_115 <=> t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),0,sK2)))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_115])])). 18.55/2.77 tff(f974,plain,( 18.55/2.77 spl15_33 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK2))), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_33])])). 18.55/2.77 tff(f979,plain,( 18.55/2.77 t2tb2(white) = get(color1,int,t2tb3(sK5),t2tb(sK9(color1,t2tb2(white),t2tb3(sK5),0,sK2))) | ~sort(color1,t2tb2(white)) | ~spl15_33), 18.55/2.77 inference(resolution,[],[f976,f327])). 18.55/2.77 tff(f976,plain,( 18.55/2.77 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK2)) | ~spl15_33), 18.55/2.77 inference(avatar_component_clause,[],[f974])). 18.55/2.77 tff(f19229,plain,( 18.55/2.77 spl15_95 | spl15_113 | spl15_5), 18.55/2.77 inference(avatar_split_clause,[],[f19219,f404,f19227,f9253])). 18.55/2.77 tff(f19227,plain,( 18.55/2.77 spl15_113 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK3,$uminus(sK4)))),0)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_113])])). 18.55/2.77 tff(f404,plain,( 18.55/2.77 spl15_5 <=> $less(sK3,sK4)), 18.55/2.77 introduced(avatar_definition,[new_symbols(naming,[spl15_5])])). 18.55/2.77 tff(f19219,plain,( 18.55/2.77 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK3,$uminus(sK4)))),0) | X9 = X10) ) | spl15_5), 18.55/2.77 inference(superposition,[],[f16884,f7688])). 18.55/2.78 tff(f16884,plain,( 18.55/2.78 ( ! [X1434:uni,X1436:ty,X1438:uni,X1441:uni,X1433:ty,X1435:uni,X1437:uni,X1439:ty,X1440:uni] : (~$less(occ(X1433,X1434,X1435,0,occ(X1436,X1437,X1438,occ(X1439,X1440,X1441,sK4,sK3),$sum(sK3,$uminus(sK4)))),0)) ) | spl15_5), 18.55/2.78 inference(resolution,[],[f1884,f406])). 18.55/2.78 tff(f406,plain,( 18.55/2.78 ~$less(sK3,sK4) | spl15_5), 18.55/2.78 inference(avatar_component_clause,[],[f404])). 18.55/2.78 tff(f1884,plain,( 18.55/2.78 ( ! [X14:ty,X12:$int,X21:uni,X19:uni,X17:ty,X15:uni,X13:$int,X22:uni,X20:ty,X18:uni,X16:uni] : ($less(X12,X13) | ~$less(occ(X14,X15,X16,0,occ(X17,X18,X19,occ(X20,X21,X22,X13,X12),$sum(X12,$uminus(X13)))),0)) )), 18.55/2.78 inference(resolution,[],[f687,f322])). 18.55/2.78 tff(f322,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(X4,X3) | ~$less(occ(X0,X1,X2,X3,X4),0)) )), 18.55/2.78 inference(cnf_transformation,[],[f183])). 18.55/2.78 tff(f183,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((~$less($sum(X4,$uminus(X3)),occ(X0,X1,X2,X3,X4)) & ~$less(occ(X0,X1,X2,X3,X4),0)) | $less(X4,X3))), 18.55/2.78 inference(ennf_transformation,[],[f138])). 18.55/2.78 tff(f138,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X4,X3) => (~$less($sum(X4,$uminus(X3)),occ(X0,X1,X2,X3,X4)) & ~$less(occ(X0,X1,X2,X3,X4),0)))), 18.55/2.78 inference(rectify,[],[f82])). 18.55/2.78 tff(f82,plain,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (~$less(X8,X7) => (~$less($sum(X8,$uminus(X7)),occ(X0,X11,X6,X7,X8)) & ~$less(occ(X0,X11,X6,X7,X8),0)))), 18.55/2.78 inference(theory_normalization,[],[f13])). 18.55/2.78 tff(f13,axiom,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : ($lesseq(X7,X8) => ($lesseq(occ(X0,X11,X6,X7,X8),$difference(X8,X7)) & $lesseq(0,occ(X0,X11,X6,X7,X8))))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_bounds)). 18.55/2.78 tff(f687,plain,( 18.55/2.78 ( ! [X6:uni,X4:uni,X2:ty,X0:$int,X7:uni,X5:ty,X3:uni,X1:$int] : (~$less(occ(X2,X3,X4,occ(X5,X6,X7,X1,X0),$sum(X0,$uminus(X1))),0) | $less(X0,X1)) )), 18.55/2.78 inference(resolution,[],[f323,f322])). 18.55/2.78 tff(f323,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (~$less($sum(X4,$uminus(X3)),occ(X0,X1,X2,X3,X4)) | $less(X4,X3)) )), 18.55/2.78 inference(cnf_transformation,[],[f183])). 18.55/2.78 tff(f19178,plain,( 18.55/2.78 spl15_95 | spl15_112 | spl15_4), 18.55/2.78 inference(avatar_split_clause,[],[f19168,f399,f19176,f9253])). 18.55/2.78 tff(f19176,plain,( 18.55/2.78 spl15_112 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK2,$uminus(sK3)))),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_112])])). 18.55/2.78 tff(f399,plain,( 18.55/2.78 spl15_4 <=> $less(sK2,sK3)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_4])])). 18.55/2.78 tff(f19168,plain,( 18.55/2.78 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK2,$uminus(sK3)))),0) | X9 = X10) ) | spl15_4), 18.55/2.78 inference(superposition,[],[f16880,f7688])). 18.55/2.78 tff(f16880,plain,( 18.55/2.78 ( ! [X1395:uni,X1397:ty,X1399:uni,X1400:ty,X1402:uni,X1394:ty,X1396:uni,X1398:uni,X1401:uni] : (~$less(occ(X1394,X1395,X1396,0,occ(X1397,X1398,X1399,occ(X1400,X1401,X1402,sK3,sK2),$sum(sK2,$uminus(sK3)))),0)) ) | spl15_4), 18.55/2.78 inference(resolution,[],[f1884,f401])). 18.55/2.78 tff(f401,plain,( 18.55/2.78 ~$less(sK2,sK3) | spl15_4), 18.55/2.78 inference(avatar_component_clause,[],[f399])). 18.55/2.78 tff(f19146,plain,( 18.55/2.78 spl15_95 | spl15_111 | spl15_3), 18.55/2.78 inference(avatar_split_clause,[],[f19136,f394,f19144,f9253])). 18.55/2.78 tff(f19144,plain,( 18.55/2.78 spl15_111 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK0,$uminus(sK2)))),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_111])])). 18.55/2.78 tff(f394,plain,( 18.55/2.78 spl15_3 <=> $less(sK0,sK2)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_3])])). 18.55/2.78 tff(f19136,plain,( 18.55/2.78 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK0,$uminus(sK2)))),0) | X9 = X10) ) | spl15_3), 18.55/2.78 inference(superposition,[],[f16879,f7688])). 18.55/2.78 tff(f16879,plain,( 18.55/2.78 ( ! [X1393:uni,X1385:ty,X1387:uni,X1389:uni,X1391:ty,X1392:uni,X1386:uni,X1388:ty,X1390:uni] : (~$less(occ(X1385,X1386,X1387,0,occ(X1388,X1389,X1390,occ(X1391,X1392,X1393,sK2,sK0),$sum(sK0,$uminus(sK2)))),0)) ) | spl15_3), 18.55/2.78 inference(resolution,[],[f1884,f396])). 18.55/2.78 tff(f396,plain,( 18.55/2.78 ~$less(sK0,sK2) | spl15_3), 18.55/2.78 inference(avatar_component_clause,[],[f394])). 18.55/2.78 tff(f17148,plain,( 18.55/2.78 spl15_95 | spl15_110 | spl15_1), 18.55/2.78 inference(avatar_split_clause,[],[f17135,f384,f17146,f9253])). 18.55/2.78 tff(f17146,plain,( 18.55/2.78 spl15_110 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK0,0))),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_110])])). 18.55/2.78 tff(f384,plain,( 18.55/2.78 spl15_1 <=> $less(sK0,0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_1])])). 18.55/2.78 tff(f17135,plain,( 18.55/2.78 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK0,0))),0) | X9 = X10) ) | spl15_1), 18.55/2.78 inference(superposition,[],[f16892,f7688])). 18.55/2.78 tff(f16892,plain,( 18.55/2.78 ( ! [X1267:ty,X1265:uni,X1269:uni,X1262:uni,X1266:uni,X1264:ty,X1268:uni,X1263:uni,X1261:ty] : (~$less(occ(X1261,X1262,X1263,0,occ(X1264,X1265,X1266,occ(X1267,X1268,X1269,0,sK0),$sum(sK0,0))),0)) ) | spl15_1), 18.55/2.78 inference(evaluation,[],[f16866])). 18.55/2.78 tff(f16866,plain,( 18.55/2.78 ( ! [X1267:ty,X1265:uni,X1269:uni,X1262:uni,X1266:uni,X1264:ty,X1268:uni,X1263:uni,X1261:ty] : (~$less(occ(X1261,X1262,X1263,0,occ(X1264,X1265,X1266,occ(X1267,X1268,X1269,0,sK0),$sum(sK0,$uminus(0)))),0)) ) | spl15_1), 18.55/2.78 inference(resolution,[],[f1884,f386])). 18.55/2.78 tff(f386,plain,( 18.55/2.78 ~$less(sK0,0) | spl15_1), 18.55/2.78 inference(avatar_component_clause,[],[f384])). 18.55/2.78 tff(f17106,plain,( 18.55/2.78 spl15_95 | spl15_109 | spl15_7), 18.55/2.78 inference(avatar_split_clause,[],[f17069,f414,f17104,f9253])). 18.55/2.78 tff(f17104,plain,( 18.55/2.78 spl15_109 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK3,0))),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_109])])). 18.55/2.78 tff(f414,plain,( 18.55/2.78 spl15_7 <=> $less(sK3,0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_7])])). 18.55/2.78 tff(f17069,plain,( 18.55/2.78 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK3,0))),0) | X9 = X10) ) | spl15_7), 18.55/2.78 inference(superposition,[],[f16891,f7688])). 18.55/2.78 tff(f16891,plain,( 18.55/2.78 ( ! [X1275:uni,X1273:ty,X1277:uni,X1271:uni,X1274:uni,X1272:uni,X1278:uni,X1276:ty,X1270:ty] : (~$less(occ(X1270,X1271,X1272,0,occ(X1273,X1274,X1275,occ(X1276,X1277,X1278,0,sK3),$sum(sK3,0))),0)) ) | spl15_7), 18.55/2.78 inference(evaluation,[],[f16867])). 18.55/2.78 tff(f16867,plain,( 18.55/2.78 ( ! [X1275:uni,X1273:ty,X1277:uni,X1271:uni,X1274:uni,X1272:uni,X1278:uni,X1276:ty,X1270:ty] : (~$less(occ(X1270,X1271,X1272,0,occ(X1273,X1274,X1275,occ(X1276,X1277,X1278,0,sK3),$sum(sK3,$uminus(0)))),0)) ) | spl15_7), 18.55/2.78 inference(resolution,[],[f1884,f416])). 18.55/2.78 tff(f416,plain,( 18.55/2.78 ~$less(sK3,0) | spl15_7), 18.55/2.78 inference(avatar_component_clause,[],[f414])). 18.55/2.78 tff(f17008,plain,( 18.55/2.78 spl15_95 | spl15_108 | spl15_2), 18.55/2.78 inference(avatar_split_clause,[],[f16971,f389,f17006,f9253])). 18.55/2.78 tff(f17006,plain,( 18.55/2.78 spl15_108 <=> ! [X16 : uni,X11 : ty,X13 : uni,X15 : uni,X12 : uni,X14 : ty] : ~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK4,0))),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_108])])). 18.55/2.78 tff(f389,plain,( 18.55/2.78 spl15_2 <=> $less(sK4,0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_2])])). 18.55/2.78 tff(f16971,plain,( 18.55/2.78 ( ! [X14:ty,X12:uni,X10:uni,X15:uni,X13:uni,X11:ty,X9:uni,X16:uni] : (~$less(occ(X11,X12,X13,0,occ(X14,X15,X16,0,$sum(sK4,0))),0) | X9 = X10) ) | spl15_2), 18.55/2.78 inference(superposition,[],[f16890,f7688])). 18.55/2.78 tff(f16890,plain,( 18.55/2.78 ( ! [X1279:ty,X1280:uni,X1282:ty,X1284:uni,X1286:uni,X1281:uni,X1283:uni,X1285:ty,X1287:uni] : (~$less(occ(X1279,X1280,X1281,0,occ(X1282,X1283,X1284,occ(X1285,X1286,X1287,0,sK4),$sum(sK4,0))),0)) ) | spl15_2), 18.55/2.78 inference(evaluation,[],[f16868])). 18.55/2.78 tff(f16868,plain,( 18.55/2.78 ( ! [X1279:ty,X1280:uni,X1282:ty,X1284:uni,X1286:uni,X1281:uni,X1283:uni,X1285:ty,X1287:uni] : (~$less(occ(X1279,X1280,X1281,0,occ(X1282,X1283,X1284,occ(X1285,X1286,X1287,0,sK4),$sum(sK4,$uminus(0)))),0)) ) | spl15_2), 18.55/2.78 inference(resolution,[],[f1884,f391])). 18.55/2.78 tff(f391,plain,( 18.55/2.78 ~$less(sK4,0) | spl15_2), 18.55/2.78 inference(avatar_component_clause,[],[f389])). 18.55/2.78 tff(f13632,plain,( 18.55/2.78 spl15_1 | spl15_107 | ~spl15_39), 18.55/2.78 inference(avatar_split_clause,[],[f7387,f1250,f13630,f384])). 18.55/2.78 tff(f13630,plain,( 18.55/2.78 spl15_107 <=> ! [X14 : uni] : ~$less($sum(sK0,0),occ(color1,X14,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),0,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_107])])). 18.55/2.78 tff(f1250,plain,( 18.55/2.78 spl15_39 <=> permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_39])])). 18.55/2.78 tff(f7387,plain,( 18.55/2.78 ( ! [X14:uni] : (~$less($sum(sK0,0),occ(color1,X14,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),0,sK0)) | $less(sK0,0)) ) | ~spl15_39), 18.55/2.78 inference(evaluation,[],[f7371])). 18.55/2.78 tff(f7371,plain,( 18.55/2.78 ( ! [X14:uni] : (~$less($sum(sK0,$uminus(0)),occ(color1,X14,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),0,sK0)) | $less(sK0,0)) ) | ~spl15_39), 18.55/2.78 inference(superposition,[],[f323,f1267])). 18.55/2.78 tff(f1267,plain,( 18.55/2.78 ( ! [X3:uni] : (occ(color1,X3,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),0,sK0) = occ(color1,X3,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0)) ) | ~spl15_39), 18.55/2.78 inference(resolution,[],[f1252,f319])). 18.55/2.78 tff(f1252,plain,( 18.55/2.78 permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0) | ~spl15_39), 18.55/2.78 inference(avatar_component_clause,[],[f1250])). 18.55/2.78 tff(f12094,plain,( 18.55/2.78 spl15_105 | spl15_106 | spl15_5), 18.55/2.78 inference(avatar_split_clause,[],[f4725,f404,f12091,f12088])). 18.55/2.78 tff(f12088,plain,( 18.55/2.78 spl15_105 <=> ! [X1 : uni,X0 : ty,X2 : uni] : occ(X0,X1,X2,sK4,sK3) = $sum(0,occ(X0,X1,X2,sK4,sK3))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_105])])). 18.55/2.78 tff(f12091,plain,( 18.55/2.78 spl15_106 <=> $less(sK4,sK4)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_106])])). 18.55/2.78 tff(f4725,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : ($less(sK4,sK4) | occ(X0,X1,X2,sK4,sK3) = $sum(0,occ(X0,X1,X2,sK4,sK3))) ) | spl15_5), 18.55/2.78 inference(factoring,[],[f2133])). 18.55/2.78 tff(f2133,plain,( 18.55/2.78 ( ! [X304:ty,X306:uni,X305:uni,X307:$int] : ($less(sK4,X307) | occ(X304,X305,X306,X307,sK3) = $sum(0,occ(X304,X305,X306,sK4,sK3)) | $less(X307,sK4)) ) | spl15_5), 18.55/2.78 inference(resolution,[],[f963,f406])). 18.55/2.78 tff(f963,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : ($less(X5,X4) | occ(X0,X1,X2,X3,X5) = $sum(0,occ(X0,X1,X2,X4,X5)) | $less(X4,X3) | $less(X3,X4)) )), 18.55/2.78 inference(superposition,[],[f356,f321])). 18.55/2.78 tff(f321,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (0 = occ(X0,X1,X2,X3,X4) | $less(X3,X4)) )), 18.55/2.78 inference(cnf_transformation,[],[f182])). 18.55/2.78 tff(f182,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ(X0,X1,X2,X3,X4) | $less(X3,X4))), 18.55/2.78 inference(ennf_transformation,[],[f137])). 18.55/2.78 tff(f137,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X3,X4) => 0 = occ(X0,X1,X2,X3,X4))), 18.55/2.78 inference(rectify,[],[f81])). 18.55/2.78 tff(f81,plain,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : (~$less(X7,X8) => 0 = occ(X0,X11,X6,X7,X8))), 18.55/2.78 inference(theory_normalization,[],[f55])). 18.55/2.78 tff(f55,axiom,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : ($lesseq(X8,X7) => 0 = occ(X0,X11,X6,X7,X8))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_empty)). 18.55/2.78 tff(f356,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : (occ(X0,X1,X2,X3,X5) = $sum(occ(X0,X1,X2,X3,X4),occ(X0,X1,X2,X4,X5)) | $less(X5,X4) | $less(X4,X3)) )), 18.55/2.78 inference(cnf_transformation,[],[f208])). 18.55/2.78 tff(f208,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (occ(X0,X1,X2,X3,X5) = $sum(occ(X0,X1,X2,X3,X4),occ(X0,X1,X2,X4,X5)) | $less(X5,X4) | $less(X4,X3))), 18.55/2.78 inference(flattening,[],[f207])). 18.55/2.78 tff(f207,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (occ(X0,X1,X2,X3,X5) = $sum(occ(X0,X1,X2,X3,X4),occ(X0,X1,X2,X4,X5)) | ($less(X5,X4) | $less(X4,X3)))), 18.55/2.78 inference(ennf_transformation,[],[f154])). 18.55/2.78 tff(f154,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : ((~$less(X5,X4) & ~$less(X4,X3)) => occ(X0,X1,X2,X3,X5) = $sum(occ(X0,X1,X2,X3,X4),occ(X0,X1,X2,X4,X5)))), 18.55/2.78 inference(rectify,[],[f92])). 18.55/2.78 tff(f92,plain,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X25 : $int,X8 : $int] : ((~$less(X8,X25) & ~$less(X25,X7)) => occ(X0,X11,X6,X7,X8) = $sum(occ(X0,X11,X6,X7,X25),occ(X0,X11,X6,X25,X8)))), 18.55/2.78 inference(theory_normalization,[],[f36])). 18.55/2.78 tff(f36,axiom,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X25 : $int,X8 : $int] : (($lesseq(X25,X8) & $lesseq(X7,X25)) => occ(X0,X11,X6,X7,X8) = $sum(occ(X0,X11,X6,X7,X25),occ(X0,X11,X6,X25,X8)))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_append)). 18.55/2.78 tff(f12083,plain,( 18.55/2.78 spl15_104 | spl15_52 | spl15_4), 18.55/2.78 inference(avatar_split_clause,[],[f4713,f399,f4217,f12081])). 18.55/2.78 tff(f12081,plain,( 18.55/2.78 spl15_104 <=> ! [X1 : uni,X0 : ty,X2 : uni] : occ(X0,X1,X2,sK3,sK2) = $sum(0,occ(X0,X1,X2,sK3,sK2))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_104])])). 18.55/2.78 tff(f4217,plain,( 18.55/2.78 spl15_52 <=> $less(sK3,sK3)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_52])])). 18.55/2.78 tff(f4713,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : ($less(sK3,sK3) | occ(X0,X1,X2,sK3,sK2) = $sum(0,occ(X0,X1,X2,sK3,sK2))) ) | spl15_4), 18.55/2.78 inference(factoring,[],[f2130])). 18.55/2.78 tff(f2130,plain,( 18.55/2.78 ( ! [X292:uni,X294:$int,X293:uni,X291:ty] : ($less(sK3,X294) | occ(X291,X292,X293,X294,sK2) = $sum(0,occ(X291,X292,X293,sK3,sK2)) | $less(X294,sK3)) ) | spl15_4), 18.55/2.78 inference(resolution,[],[f963,f401])). 18.55/2.78 tff(f12076,plain,( 18.55/2.78 spl15_102 | spl15_103 | spl15_3), 18.55/2.78 inference(avatar_split_clause,[],[f4691,f394,f12073,f12070])). 18.55/2.78 tff(f12070,plain,( 18.55/2.78 spl15_102 <=> ! [X1 : uni,X0 : ty,X2 : uni] : occ(X0,X1,X2,sK2,sK0) = $sum(0,occ(X0,X1,X2,sK2,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_102])])). 18.55/2.78 tff(f12073,plain,( 18.55/2.78 spl15_103 <=> $less(sK2,sK2)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_103])])). 18.55/2.78 tff(f4691,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : ($less(sK2,sK2) | occ(X0,X1,X2,sK2,sK0) = $sum(0,occ(X0,X1,X2,sK2,sK0))) ) | spl15_3), 18.55/2.78 inference(factoring,[],[f2129])). 18.55/2.78 tff(f2129,plain,( 18.55/2.78 ( ! [X288:uni,X290:$int,X287:ty,X289:uni] : ($less(sK2,X290) | occ(X287,X288,X289,X290,sK0) = $sum(0,occ(X287,X288,X289,sK2,sK0)) | $less(X290,sK2)) ) | spl15_3), 18.55/2.78 inference(resolution,[],[f963,f396])). 18.55/2.78 tff(f11827,plain,( 18.55/2.78 spl15_101 | spl15_5 | ~spl15_31 | ~spl15_62), 18.55/2.78 inference(avatar_split_clause,[],[f11806,f4612,f841,f404,f11824])). 18.55/2.78 tff(f11824,plain,( 18.55/2.78 spl15_101 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,$sum(sK0,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_101])])). 18.55/2.78 tff(f841,plain,( 18.55/2.78 spl15_31 <=> get(color1,int,t2tb3(sK5),t2tb(sK3)) = t2tb2(white)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_31])])). 18.55/2.78 tff(f4612,plain,( 18.55/2.78 spl15_62 <=> $less(sK3,$sum(sK0,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_62])])). 18.55/2.78 tff(f11806,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,$sum(sK0,-1))) | (spl15_5 | ~spl15_31 | ~spl15_62)), 18.55/2.78 inference(superposition,[],[f11740,f843])). 18.55/2.78 tff(f843,plain,( 18.55/2.78 get(color1,int,t2tb3(sK5),t2tb(sK3)) = t2tb2(white) | ~spl15_31), 18.55/2.78 inference(avatar_component_clause,[],[f841])). 18.55/2.78 tff(f11740,plain,( 18.55/2.78 ( ! [X35:ty,X36:uni] : ($less(0,occ(X35,get(X35,int,X36,t2tb(sK3)),X36,sK4,$sum(sK0,-1)))) ) | (spl15_5 | ~spl15_62)), 18.55/2.78 inference(resolution,[],[f4622,f406])). 18.55/2.78 tff(f4622,plain,( 18.55/2.78 ( ! [X10:$int,X8:ty,X9:uni] : ($less(sK3,X10) | $less(0,occ(X8,get(X8,int,X9,t2tb(sK3)),X9,X10,$sum(sK0,-1)))) ) | ~spl15_62), 18.55/2.78 inference(resolution,[],[f4614,f333])). 18.55/2.78 tff(f4614,plain,( 18.55/2.78 $less(sK3,$sum(sK0,-1)) | ~spl15_62), 18.55/2.78 inference(avatar_component_clause,[],[f4612])). 18.55/2.78 tff(f11818,plain,( 18.55/2.78 spl15_100 | spl15_5 | ~spl15_62), 18.55/2.78 inference(avatar_split_clause,[],[f11813,f4612,f404,f11815])). 18.55/2.78 tff(f11815,plain,( 18.55/2.78 spl15_100 <=> $less(sK4,$sum(sK0,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_100])])). 18.55/2.78 tff(f11813,plain,( 18.55/2.78 $less(sK4,$sum(sK0,-1)) | (spl15_5 | ~spl15_62)), 18.55/2.78 inference(evaluation,[],[f11810])). 18.55/2.78 tff(f11810,plain,( 18.55/2.78 $less(0,0) | $less(sK4,$sum(sK0,-1)) | (spl15_5 | ~spl15_62)), 18.55/2.78 inference(superposition,[],[f11740,f321])). 18.55/2.78 tff(f11789,plain,( 18.55/2.78 spl15_99 | ~spl15_31 | spl15_52 | ~spl15_62), 18.55/2.78 inference(avatar_split_clause,[],[f11777,f4612,f4217,f841,f11786])). 18.55/2.78 tff(f11786,plain,( 18.55/2.78 spl15_99 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,$sum(sK0,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_99])])). 18.55/2.78 tff(f11777,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,$sum(sK0,-1))) | (~spl15_31 | spl15_52 | ~spl15_62)), 18.55/2.78 inference(superposition,[],[f11739,f843])). 18.55/2.78 tff(f11739,plain,( 18.55/2.78 ( ! [X33:ty,X34:uni] : ($less(0,occ(X33,get(X33,int,X34,t2tb(sK3)),X34,sK3,$sum(sK0,-1)))) ) | (spl15_52 | ~spl15_62)), 18.55/2.78 inference(resolution,[],[f4622,f4219])). 18.55/2.78 tff(f4219,plain,( 18.55/2.78 ~$less(sK3,sK3) | spl15_52), 18.55/2.78 inference(avatar_component_clause,[],[f4217])). 18.55/2.78 tff(f11766,plain,( 18.55/2.78 spl15_98 | spl15_7 | ~spl15_31 | ~spl15_62), 18.55/2.78 inference(avatar_split_clause,[],[f11746,f4612,f841,f414,f11763])). 18.55/2.78 tff(f11763,plain,( 18.55/2.78 spl15_98 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,$sum(sK0,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_98])])). 18.55/2.78 tff(f11746,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,$sum(sK0,-1))) | (spl15_7 | ~spl15_31 | ~spl15_62)), 18.55/2.78 inference(superposition,[],[f11734,f843])). 18.55/2.78 tff(f11734,plain,( 18.55/2.78 ( ! [X24:uni,X23:ty] : ($less(0,occ(X23,get(X23,int,X24,t2tb(sK3)),X24,0,$sum(sK0,-1)))) ) | (spl15_7 | ~spl15_62)), 18.55/2.78 inference(resolution,[],[f4622,f416])). 18.55/2.78 tff(f11758,plain,( 18.55/2.78 spl15_97 | spl15_7 | ~spl15_62), 18.55/2.78 inference(avatar_split_clause,[],[f11753,f4612,f414,f11755])). 18.55/2.78 tff(f11755,plain,( 18.55/2.78 spl15_97 <=> $less(0,$sum(sK0,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_97])])). 18.55/2.78 tff(f11753,plain,( 18.55/2.78 $less(0,$sum(sK0,-1)) | (spl15_7 | ~spl15_62)), 18.55/2.78 inference(evaluation,[],[f11750])). 18.55/2.78 tff(f11750,plain,( 18.55/2.78 $less(0,0) | $less(0,$sum(sK0,-1)) | (spl15_7 | ~spl15_62)), 18.55/2.78 inference(superposition,[],[f11734,f321])). 18.55/2.78 tff(f10029,plain,( 18.55/2.78 spl15_87 | ~spl15_95), 18.55/2.78 inference(avatar_contradiction_clause,[],[f10028])). 18.55/2.78 tff(f10028,plain,( 18.55/2.78 $false | (spl15_87 | ~spl15_95)), 18.55/2.78 inference(equality_resolution,[],[f10023])). 18.55/2.78 tff(f10023,plain,( 18.55/2.78 ( ! [X6:color] : (white != X6) ) | (spl15_87 | ~spl15_95)), 18.55/2.78 inference(superposition,[],[f9320,f274])). 18.55/2.78 tff(f274,plain,( 18.55/2.78 ( ! [X0:color] : (tb2t2(t2tb2(X0)) = X0) )), 18.55/2.78 inference(cnf_transformation,[],[f103])). 18.55/2.78 tff(f103,plain,( 18.55/2.78 ! [X0 : color] : tb2t2(t2tb2(X0)) = X0), 18.55/2.78 inference(rectify,[],[f60])). 18.55/2.78 tff(f60,axiom,( 18.55/2.78 ! [X9 : color] : tb2t2(t2tb2(X9)) = X9), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 18.55/2.78 tff(f9320,plain,( 18.55/2.78 ( ! [X0:uni] : (white != tb2t2(X0)) ) | (spl15_87 | ~spl15_95)), 18.55/2.78 inference(superposition,[],[f7409,f9254])). 18.55/2.78 tff(f9254,plain,( 18.55/2.78 ( ! [X35:uni,X34:uni] : (X34 = X35) ) | ~spl15_95), 18.55/2.78 inference(avatar_component_clause,[],[f9253])). 18.55/2.78 tff(f7409,plain,( 18.55/2.78 white != tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | spl15_87), 18.55/2.78 inference(avatar_component_clause,[],[f7407])). 18.55/2.78 tff(f7407,plain,( 18.55/2.78 spl15_87 <=> white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white))))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_87])])). 18.55/2.78 tff(f9258,plain,( 18.55/2.78 spl15_95 | spl15_96), 18.55/2.78 inference(avatar_split_clause,[],[f8856,f9256,f9253])). 18.55/2.78 tff(f9256,plain,( 18.55/2.78 spl15_96 <=> ! [X36 : $int,X37 : $int] : (~$less($sum(X37,$uminus(X36)),0) | $less(X37,X36))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_96])])). 18.55/2.78 tff(f8856,plain,( 18.55/2.78 ( ! [X37:$int,X35:uni,X36:$int,X34:uni] : (~$less($sum(X37,$uminus(X36)),0) | $less(X37,X36) | X34 = X35) )), 18.55/2.78 inference(superposition,[],[f323,f7688])). 18.55/2.78 tff(f8206,plain,( 18.55/2.78 spl15_94 | spl15_77 | ~spl15_27 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f8168,f4665,f683,f6475,f8203])). 18.55/2.78 tff(f8203,plain,( 18.55/2.78 spl15_94 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK2),sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_94])])). 18.55/2.78 tff(f6475,plain,( 18.55/2.78 spl15_77 <=> $less(sK2,0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_77])])). 18.55/2.78 tff(f683,plain,( 18.55/2.78 spl15_27 <=> $less(sK2,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_27])])). 18.55/2.78 tff(f8168,plain,( 18.55/2.78 $less(sK2,0) | $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK2),sK0) | (~spl15_27 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f685,f4672])). 18.55/2.78 tff(f4672,plain,( 18.55/2.78 ( ! [X3:$int] : (~$less(X3,sK0) | $less(X3,0) | $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,X3),sK0)) ) | ~spl15_64), 18.55/2.78 inference(resolution,[],[f4667,f354])). 18.55/2.78 tff(f354,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : (~permut(X0,X1,X2,X3,X4) | ~$less(X5,X4) | $less(X5,X3) | $less(sK12(X0,X1,X2,X3,X4,X5),X4)) )), 18.55/2.78 inference(cnf_transformation,[],[f240])). 18.55/2.78 tff(f240,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (($less(sK12(X0,X1,X2,X3,X4,X5),X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(sK12(X0,X1,X2,X3,X4,X5))) & ~$less(sK12(X0,X1,X2,X3,X4,X5),X3)) | ~$less(X5,X4) | $less(X5,X3) | ~permut(X0,X1,X2,X3,X4))), 18.55/2.78 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f204,f239])). 18.55/2.78 tff(f239,plain,( 18.55/2.78 ! [X5 : $int,X4 : $int,X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X6 : $int] : ($less(X6,X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(X6)) & ~$less(X6,X3)) => ($less(sK12(X0,X1,X2,X3,X4,X5),X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(sK12(X0,X1,X2,X3,X4,X5))) & ~$less(sK12(X0,X1,X2,X3,X4,X5),X3)))), 18.55/2.78 introduced(choice_axiom,[])). 18.55/2.78 tff(f204,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (? [X6 : $int] : ($less(X6,X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(X6)) & ~$less(X6,X3)) | ~$less(X5,X4) | $less(X5,X3) | ~permut(X0,X1,X2,X3,X4))), 18.55/2.78 inference(flattening,[],[f203])). 18.55/2.78 tff(f203,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : ((? [X6 : $int] : ($less(X6,X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(X6)) & ~$less(X6,X3)) | (~$less(X5,X4) | $less(X5,X3))) | ~permut(X0,X1,X2,X3,X4))), 18.55/2.78 inference(ennf_transformation,[],[f152])). 18.55/2.78 tff(f152,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int,X5 : $int] : (permut(X0,X1,X2,X3,X4) => (($less(X5,X4) & ~$less(X5,X3)) => ? [X6 : $int] : ($less(X6,X4) & get(X0,int,X2,t2tb(X5)) = get(X0,int,X1,t2tb(X6)) & ~$less(X6,X3))))), 18.55/2.78 inference(rectify,[],[f90])). 18.55/2.78 tff(f90,plain,( 18.55/2.78 ! [X0 : ty,X17 : uni,X18 : uni,X7 : $int,X8 : $int,X9 : $int] : (permut(X0,X17,X18,X7,X8) => (($less(X9,X8) & ~$less(X9,X7)) => ? [X14 : $int] : ($less(X14,X8) & get(X0,int,X17,t2tb(X14)) = get(X0,int,X18,t2tb(X9)) & ~$less(X14,X7))))), 18.55/2.78 inference(theory_normalization,[],[f28])). 18.55/2.78 tff(f28,axiom,( 18.55/2.78 ! [X0 : ty,X17 : uni,X18 : uni,X7 : $int,X8 : $int,X9 : $int] : (permut(X0,X17,X18,X7,X8) => (($less(X9,X8) & $lesseq(X7,X9)) => ? [X14 : $int] : ($less(X14,X8) & get(X0,int,X17,t2tb(X14)) = get(X0,int,X18,t2tb(X9)) & $lesseq(X7,X14))))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_exists)). 18.55/2.78 tff(f685,plain,( 18.55/2.78 $less(sK2,sK0) | ~spl15_27), 18.55/2.78 inference(avatar_component_clause,[],[f683])). 18.55/2.78 tff(f8135,plain,( 18.55/2.78 spl15_27 | spl15_93 | spl15_3 | ~spl15_82), 18.55/2.78 inference(avatar_split_clause,[],[f8131,f7149,f394,f8133,f683])). 18.55/2.78 tff(f8133,plain,( 18.55/2.78 spl15_93 <=> ! [X632 : uni,X631 : ty,X633 : uni] : 0 = $sum(0,occ(X631,X632,X633,sK2,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_93])])). 18.55/2.78 tff(f7149,plain,( 18.55/2.78 spl15_82 <=> ! [X1 : uni,X0 : ty,X2 : uni] : 0 = occ(X0,X1,X2,sK0,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_82])])). 18.55/2.78 tff(f8131,plain,( 18.55/2.78 ( ! [X633:uni,X631:ty,X632:uni] : (0 = $sum(0,occ(X631,X632,X633,sK2,sK0)) | $less(sK2,sK0)) ) | (spl15_3 | ~spl15_82)), 18.55/2.78 inference(forward_demodulation,[],[f8122,f7150])). 18.55/2.78 tff(f7150,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : (0 = occ(X0,X1,X2,sK0,sK0)) ) | ~spl15_82), 18.55/2.78 inference(avatar_component_clause,[],[f7149])). 18.55/2.78 tff(f8122,plain,( 18.55/2.78 ( ! [X633:uni,X631:ty,X632:uni] : (occ(X631,X632,X633,sK0,sK0) = $sum(0,occ(X631,X632,X633,sK2,sK0)) | $less(sK2,sK0)) ) | spl15_3), 18.55/2.78 inference(resolution,[],[f2136,f396])). 18.55/2.78 tff(f2136,plain,( 18.55/2.78 ( ! [X6:ty,X4:$int,X8:uni,X7:uni,X5:$int] : ($less(X4,X5) | occ(X6,X7,X8,X4,X4) = $sum(0,occ(X6,X7,X8,X5,X4)) | $less(X5,X4)) )), 18.55/2.78 inference(factoring,[],[f963])). 18.55/2.78 tff(f7898,plain,( 18.55/2.78 spl15_92 | spl15_5 | ~spl15_31 | ~spl15_60), 18.55/2.78 inference(avatar_split_clause,[],[f7696,f4599,f841,f404,f7895])). 18.55/2.78 tff(f7895,plain,( 18.55/2.78 spl15_92 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,$sum(sK2,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_92])])). 18.55/2.78 tff(f4599,plain,( 18.55/2.78 spl15_60 <=> $less(sK3,$sum(sK2,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_60])])). 18.55/2.78 tff(f7696,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,$sum(sK2,-1))) | (spl15_5 | ~spl15_31 | ~spl15_60)), 18.55/2.78 inference(superposition,[],[f7570,f843])). 18.55/2.78 tff(f7570,plain,( 18.55/2.78 ( ! [X31:ty,X32:uni] : ($less(0,occ(X31,get(X31,int,X32,t2tb(sK3)),X32,sK4,$sum(sK2,-1)))) ) | (spl15_5 | ~spl15_60)), 18.55/2.78 inference(resolution,[],[f4609,f406])). 18.55/2.78 tff(f4609,plain,( 18.55/2.78 ( ! [X10:$int,X8:ty,X9:uni] : ($less(sK3,X10) | $less(0,occ(X8,get(X8,int,X9,t2tb(sK3)),X9,X10,$sum(sK2,-1)))) ) | ~spl15_60), 18.55/2.78 inference(resolution,[],[f4601,f333])). 18.55/2.78 tff(f4601,plain,( 18.55/2.78 $less(sK3,$sum(sK2,-1)) | ~spl15_60), 18.55/2.78 inference(avatar_component_clause,[],[f4599])). 18.55/2.78 tff(f7810,plain,( 18.55/2.78 spl15_91 | spl15_5 | ~spl15_60), 18.55/2.78 inference(avatar_split_clause,[],[f7699,f4599,f404,f7807])). 18.55/2.78 tff(f7807,plain,( 18.55/2.78 spl15_91 <=> $less(sK4,$sum(sK2,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_91])])). 18.55/2.78 tff(f7699,plain,( 18.55/2.78 $less(sK4,$sum(sK2,-1)) | (spl15_5 | ~spl15_60)), 18.55/2.78 inference(evaluation,[],[f7698])). 18.55/2.78 tff(f7698,plain,( 18.55/2.78 $less(0,0) | $less(sK4,$sum(sK2,-1)) | (spl15_5 | ~spl15_60)), 18.55/2.78 inference(superposition,[],[f7570,f321])). 18.55/2.78 tff(f7666,plain,( 18.55/2.78 spl15_90 | ~spl15_31 | spl15_52 | ~spl15_60), 18.55/2.78 inference(avatar_split_clause,[],[f7658,f4599,f4217,f841,f7663])). 18.55/2.78 tff(f7663,plain,( 18.55/2.78 spl15_90 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,$sum(sK2,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_90])])). 18.55/2.78 tff(f7658,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,$sum(sK2,-1))) | (~spl15_31 | spl15_52 | ~spl15_60)), 18.55/2.78 inference(superposition,[],[f7569,f843])). 18.55/2.78 tff(f7569,plain,( 18.55/2.78 ( ! [X30:uni,X29:ty] : ($less(0,occ(X29,get(X29,int,X30,t2tb(sK3)),X30,sK3,$sum(sK2,-1)))) ) | (spl15_52 | ~spl15_60)), 18.55/2.78 inference(resolution,[],[f4609,f4219])). 18.55/2.78 tff(f7643,plain,( 18.55/2.78 spl15_89 | spl15_7 | ~spl15_31 | ~spl15_60), 18.55/2.78 inference(avatar_split_clause,[],[f7599,f4599,f841,f414,f7640])). 18.55/2.78 tff(f7640,plain,( 18.55/2.78 spl15_89 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,$sum(sK2,-1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_89])])). 18.55/2.78 tff(f7599,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,$sum(sK2,-1))) | (spl15_7 | ~spl15_31 | ~spl15_60)), 18.55/2.78 inference(superposition,[],[f7566,f843])). 18.55/2.78 tff(f7566,plain,( 18.55/2.78 ( ! [X24:uni,X23:ty] : ($less(0,occ(X23,get(X23,int,X24,t2tb(sK3)),X24,0,$sum(sK2,-1)))) ) | (spl15_7 | ~spl15_60)), 18.55/2.78 inference(resolution,[],[f4609,f416])). 18.55/2.78 tff(f7607,plain,( 18.55/2.78 spl15_88 | spl15_7 | ~spl15_60), 18.55/2.78 inference(avatar_split_clause,[],[f7602,f4599,f414,f7604])). 18.55/2.78 tff(f7604,plain,( 18.55/2.78 spl15_88 <=> $less(0,$sum(sK2,-1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_88])])). 18.55/2.78 tff(f7602,plain,( 18.55/2.78 $less(0,$sum(sK2,-1)) | (spl15_7 | ~spl15_60)), 18.55/2.78 inference(evaluation,[],[f7601])). 18.55/2.78 tff(f7601,plain,( 18.55/2.78 $less(0,0) | $less(0,$sum(sK2,-1)) | (spl15_7 | ~spl15_60)), 18.55/2.78 inference(superposition,[],[f7566,f321])). 18.55/2.78 tff(f7410,plain,( 18.55/2.78 ~spl15_43 | ~spl15_87 | spl15_42), 18.55/2.78 inference(avatar_split_clause,[],[f1914,f1903,f7407,f2022])). 18.55/2.78 tff(f2022,plain,( 18.55/2.78 spl15_43 <=> sort(map(int,color1),t2tb3(sK5))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_43])])). 18.55/2.78 tff(f1914,plain,( 18.55/2.78 white != tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | ~sort(map(int,color1),t2tb3(sK5)) | spl15_42), 18.55/2.78 inference(superposition,[],[f1905,f300])). 18.55/2.78 tff(f300,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:$int] : (elts(X0,mk_array(X0,X1,X2)) = X2 | ~sort(map(int,X0),X2)) )), 18.55/2.78 inference(cnf_transformation,[],[f171])). 18.55/2.78 tff(f171,plain,( 18.55/2.78 ! [X0 : ty,X1 : $int,X2 : uni] : (elts(X0,mk_array(X0,X1,X2)) = X2 | ~sort(map(int,X0),X2))), 18.55/2.78 inference(ennf_transformation,[],[f123])). 18.55/2.78 tff(f123,plain,( 18.55/2.78 ! [X0 : ty,X1 : $int,X2 : uni] : (sort(map(int,X0),X2) => elts(X0,mk_array(X0,X1,X2)) = X2)), 18.55/2.78 inference(rectify,[],[f44])). 18.55/2.78 tff(f44,axiom,( 18.55/2.78 ! [X0 : ty,X8 : $int,X26 : uni] : (sort(map(int,X0),X26) => elts(X0,mk_array(X0,X8,X26)) = X26)), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def)). 18.55/2.78 tff(f1905,plain,( 18.55/2.78 white != tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | spl15_42), 18.55/2.78 inference(avatar_component_clause,[],[f1903])). 18.55/2.78 tff(f7345,plain,( 18.55/2.78 spl15_86 | spl15_2 | ~spl15_37 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f4981,f4665,f1204,f389,f7342])). 18.55/2.78 tff(f7342,plain,( 18.55/2.78 spl15_86 <=> $less(0,occ(color1,get(color1,int,t2tb3(sK5),t2tb(sK4)),t2tb3(sK1),0,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_86])])). 18.55/2.78 tff(f1204,plain,( 18.55/2.78 spl15_37 <=> $less(sK4,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_37])])). 18.55/2.78 tff(f4981,plain,( 18.55/2.78 $less(0,occ(color1,get(color1,int,t2tb3(sK5),t2tb(sK4)),t2tb3(sK1),0,sK0)) | (spl15_2 | ~spl15_37 | ~spl15_64)), 18.55/2.78 inference(superposition,[],[f1756,f4669])). 18.55/2.78 tff(f1756,plain,( 18.55/2.78 ( ! [X12:uni,X11:ty] : ($less(0,occ(X11,get(X11,int,X12,t2tb(sK4)),X12,0,sK0))) ) | (spl15_2 | ~spl15_37)), 18.55/2.78 inference(resolution,[],[f1209,f391])). 18.55/2.78 tff(f1209,plain,( 18.55/2.78 ( ! [X4:$int,X2:ty,X3:uni] : ($less(sK4,X4) | $less(0,occ(X2,get(X2,int,X3,t2tb(sK4)),X3,X4,sK0))) ) | ~spl15_37), 18.55/2.78 inference(resolution,[],[f1206,f333])). 18.55/2.78 tff(f1206,plain,( 18.55/2.78 $less(sK4,sK0) | ~spl15_37), 18.55/2.78 inference(avatar_component_clause,[],[f1204])). 18.55/2.78 tff(f7336,plain,( 18.55/2.78 spl15_85 | spl15_2 | ~spl15_37 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f7272,f4665,f1204,f389,f7333])). 18.55/2.78 tff(f7333,plain,( 18.55/2.78 spl15_85 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK4),sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_85])])). 18.55/2.78 tff(f7272,plain,( 18.55/2.78 $less(sK4,0) | $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK4),sK0) | (~spl15_37 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4672,f1206])). 18.55/2.78 tff(f7327,plain,( 18.55/2.78 spl15_84 | spl15_7 | ~spl15_8 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f7268,f4665,f419,f414,f7324])). 18.55/2.78 tff(f7324,plain,( 18.55/2.78 spl15_84 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK3),sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_84])])). 18.55/2.78 tff(f419,plain,( 18.55/2.78 spl15_8 <=> $less(sK3,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_8])])). 18.55/2.78 tff(f7268,plain,( 18.55/2.78 $less(sK3,0) | $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK3),sK0) | (~spl15_8 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4672,f421])). 18.55/2.78 tff(f421,plain,( 18.55/2.78 $less(sK3,sK0) | ~spl15_8), 18.55/2.78 inference(avatar_component_clause,[],[f419])). 18.55/2.78 tff(f7318,plain,( 18.55/2.78 spl15_83 | ~spl15_21 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f7295,f4665,f637,f7315])). 18.55/2.78 tff(f7315,plain,( 18.55/2.78 spl15_83 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_83])])). 18.55/2.78 tff(f7295,plain,( 18.55/2.78 $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),sK0) | (~spl15_21 | ~spl15_64)), 18.55/2.78 inference(evaluation,[],[f7258])). 18.55/2.78 tff(f7258,plain,( 18.55/2.78 $less(0,0) | $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),sK0) | (~spl15_21 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4672,f639])). 18.55/2.78 tff(f7151,plain,( 18.55/2.78 spl15_3 | spl15_82 | spl15_27 | ~spl15_81), 18.55/2.78 inference(avatar_split_clause,[],[f7130,f6597,f683,f7149,f394])). 18.55/2.78 tff(f6597,plain,( 18.55/2.78 spl15_81 <=> ! [X289 : uni,X287 : ty,X290 : $int,X288 : uni] : (occ(X287,X288,X289,X290,sK0) = $sum(occ(X287,X288,X289,X290,sK2),0) | $less(sK2,X290))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_81])])). 18.55/2.78 tff(f7130,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : (0 = occ(X0,X1,X2,sK0,sK0) | $less(sK0,sK2)) ) | (spl15_27 | ~spl15_81)), 18.55/2.78 inference(evaluation,[],[f7129])). 18.55/2.78 tff(f7129,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : (occ(X0,X1,X2,sK0,sK0) = $sum(0,0) | $less(sK0,sK2)) ) | (spl15_27 | ~spl15_81)), 18.55/2.78 inference(superposition,[],[f6607,f321])). 18.55/2.78 tff(f6607,plain,( 18.55/2.78 ( ! [X21:uni,X22:uni,X20:ty] : (occ(X20,X21,X22,sK0,sK0) = $sum(occ(X20,X21,X22,sK0,sK2),0)) ) | (spl15_27 | ~spl15_81)), 18.55/2.78 inference(resolution,[],[f6598,f684])). 18.55/2.78 tff(f684,plain,( 18.55/2.78 ~$less(sK2,sK0) | spl15_27), 18.55/2.78 inference(avatar_component_clause,[],[f683])). 18.55/2.78 tff(f6598,plain,( 18.55/2.78 ( ! [X288:uni,X290:$int,X287:ty,X289:uni] : ($less(sK2,X290) | occ(X287,X288,X289,X290,sK0) = $sum(occ(X287,X288,X289,X290,sK2),0)) ) | ~spl15_81), 18.55/2.78 inference(avatar_component_clause,[],[f6597])). 18.55/2.78 tff(f6675,plain,( 18.55/2.78 spl15_41 | ~spl15_40), 18.55/2.78 inference(avatar_split_clause,[],[f1830,f1820,f1835])). 18.55/2.78 tff(f1835,plain,( 18.55/2.78 spl15_41 <=> t2tb2(blue) = get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_41])])). 18.55/2.78 tff(f1820,plain,( 18.55/2.78 spl15_40 <=> blue = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_40])])). 18.55/2.78 tff(f1830,plain,( 18.55/2.78 t2tb2(blue) = get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0)) | ~spl15_40), 18.55/2.78 inference(superposition,[],[f484,f1822])). 18.55/2.78 tff(f1822,plain,( 18.55/2.78 blue = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0))) | ~spl15_40), 18.55/2.78 inference(avatar_component_clause,[],[f1820])). 18.55/2.78 tff(f484,plain,( 18.55/2.78 ( ! [X6:uni,X7:uni,X5:ty] : (get(color1,X5,X6,X7) = t2tb2(tb2t2(get(color1,X5,X6,X7)))) )), 18.55/2.78 inference(resolution,[],[f282,f304])). 18.55/2.78 tff(f304,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X3:uni,X1:ty] : (sort(X1,get(X1,X0,X2,X3))) )), 18.55/2.78 inference(cnf_transformation,[],[f126])). 18.55/2.78 tff(f126,plain,( 18.55/2.78 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : sort(X1,get(X1,X0,X2,X3))), 18.55/2.78 inference(rectify,[],[f53])). 18.55/2.78 tff(f53,axiom,( 18.55/2.78 ! [X0 : ty,X20 : ty,X1 : uni,X2 : uni] : sort(X20,get(X20,X0,X1,X2))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_sort)). 18.55/2.78 tff(f282,plain,( 18.55/2.78 ( ! [X0:uni] : (~sort(color1,X0) | t2tb2(tb2t2(X0)) = X0) )), 18.55/2.78 inference(cnf_transformation,[],[f163])). 18.55/2.78 tff(f163,plain,( 18.55/2.78 ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0 | ~sort(color1,X0))), 18.55/2.78 inference(ennf_transformation,[],[f111])). 18.55/2.78 tff(f111,plain,( 18.55/2.78 ! [X0 : uni] : (sort(color1,X0) => t2tb2(tb2t2(X0)) = X0)), 18.55/2.78 inference(rectify,[],[f11])). 18.55/2.78 tff(f11,axiom,( 18.55/2.78 ! [X14 : uni] : (sort(color1,X14) => t2tb2(tb2t2(X14)) = X14)), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 18.55/2.78 tff(f6616,plain,( 18.55/2.78 spl15_73 | ~spl15_44), 18.55/2.78 inference(avatar_split_clause,[],[f5306,f2026,f5324])). 18.55/2.78 tff(f2026,plain,( 18.55/2.78 spl15_44 <=> blue = tb2t2(get(color1,int,t2tb3(sK5),t2tb(0)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_44])])). 18.55/2.78 tff(f5306,plain,( 18.55/2.78 t2tb2(blue) = get(color1,int,t2tb3(sK5),t2tb(0)) | ~spl15_44), 18.55/2.78 inference(superposition,[],[f484,f2027])). 18.55/2.78 tff(f2027,plain,( 18.55/2.78 blue = tb2t2(get(color1,int,t2tb3(sK5),t2tb(0))) | ~spl15_44), 18.55/2.78 inference(avatar_component_clause,[],[f2026])). 18.55/2.78 tff(f6615,plain,( 18.55/2.78 spl15_73 | ~spl15_44), 18.55/2.78 inference(avatar_split_clause,[],[f5079,f2026,f5324])). 18.55/2.78 tff(f5079,plain,( 18.55/2.78 t2tb2(blue) = get(color1,int,t2tb3(sK5),t2tb(0)) | ~spl15_44), 18.55/2.78 inference(superposition,[],[f484,f2027])). 18.55/2.78 tff(f6599,plain,( 18.55/2.78 spl15_27 | spl15_81 | spl15_3), 18.55/2.78 inference(avatar_split_clause,[],[f2190,f394,f6597,f683])). 18.55/2.78 tff(f2190,plain,( 18.55/2.78 ( ! [X288:uni,X290:$int,X287:ty,X289:uni] : (occ(X287,X288,X289,X290,sK0) = $sum(occ(X287,X288,X289,X290,sK2),0) | $less(sK2,X290) | $less(sK2,sK0)) ) | spl15_3), 18.55/2.78 inference(resolution,[],[f965,f396])). 18.55/2.78 tff(f965,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : ($less(X4,X3) | occ(X0,X1,X2,X5,X4) = $sum(occ(X0,X1,X2,X5,X3),0) | $less(X3,X5) | $less(X3,X4)) )), 18.55/2.78 inference(superposition,[],[f356,f321])). 18.55/2.78 tff(f6591,plain,( 18.55/2.78 spl15_2 | spl15_80 | spl15_25 | ~spl15_67), 18.55/2.78 inference(avatar_split_clause,[],[f6587,f4740,f664,f6589,f389])). 18.55/2.78 tff(f6589,plain,( 18.55/2.78 spl15_80 <=> ! [X1 : uni,X0 : ty,X2 : uni] : 0 = occ(X0,X1,X2,sK4,sK4)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_80])])). 18.55/2.78 tff(f664,plain,( 18.55/2.78 spl15_25 <=> $less(0,sK4)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_25])])). 18.55/2.78 tff(f4740,plain,( 18.55/2.78 spl15_67 <=> ! [X278 : uni,X276 : ty,X279 : $int,X277 : uni] : (occ(X276,X277,X278,X279,sK4) = $sum(occ(X276,X277,X278,X279,0),0) | $less(0,X279))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_67])])). 18.55/2.78 tff(f6587,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : (0 = occ(X0,X1,X2,sK4,sK4) | $less(sK4,0)) ) | (spl15_25 | ~spl15_67)), 18.55/2.78 inference(evaluation,[],[f6586])). 18.55/2.78 tff(f6586,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:uni] : ($sum(0,0) = occ(X0,X1,X2,sK4,sK4) | $less(sK4,0)) ) | (spl15_25 | ~spl15_67)), 18.55/2.78 inference(superposition,[],[f6515,f321])). 18.55/2.78 tff(f6515,plain,( 18.55/2.78 ( ! [X33:uni,X31:ty,X32:uni] : (occ(X31,X32,X33,sK4,sK4) = $sum(occ(X31,X32,X33,sK4,0),0)) ) | (spl15_25 | ~spl15_67)), 18.55/2.78 inference(resolution,[],[f4741,f665])). 18.55/2.78 tff(f665,plain,( 18.55/2.78 ~$less(0,sK4) | spl15_25), 18.55/2.78 inference(avatar_component_clause,[],[f664])). 18.55/2.78 tff(f4741,plain,( 18.55/2.78 ( ! [X277:uni,X279:$int,X276:ty,X278:uni] : ($less(0,X279) | occ(X276,X277,X278,X279,sK4) = $sum(occ(X276,X277,X278,X279,0),0)) ) | ~spl15_67), 18.55/2.78 inference(avatar_component_clause,[],[f4740])). 18.55/2.78 tff(f6579,plain,( 18.55/2.78 ~spl15_79 | spl15_2 | ~spl15_37 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f6422,f4665,f1204,f389,f6576])). 18.55/2.78 tff(f6576,plain,( 18.55/2.78 spl15_79 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK4),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_79])])). 18.55/2.78 tff(f6422,plain,( 18.55/2.78 $less(sK4,0) | ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK4),0) | (~spl15_37 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4670,f1206])). 18.55/2.78 tff(f4670,plain,( 18.55/2.78 ( ! [X1:$int] : (~$less(X1,sK0) | $less(X1,0) | ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,X1),0)) ) | ~spl15_64), 18.55/2.78 inference(resolution,[],[f4667,f352])). 18.55/2.78 tff(f352,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : (~permut(X0,X1,X2,X3,X4) | ~$less(X5,X4) | $less(X5,X3) | ~$less(sK12(X0,X1,X2,X3,X4,X5),X3)) )), 18.55/2.78 inference(cnf_transformation,[],[f240])). 18.55/2.78 tff(f6554,plain,( 18.55/2.78 ~spl15_78 | spl15_7 | ~spl15_8 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f6418,f4665,f419,f414,f6551])). 18.55/2.78 tff(f6551,plain,( 18.55/2.78 spl15_78 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK3),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_78])])). 18.55/2.78 tff(f6418,plain,( 18.55/2.78 $less(sK3,0) | ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK3),0) | (~spl15_8 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4670,f421])). 18.55/2.78 tff(f6478,plain,( 18.55/2.78 ~spl15_76 | spl15_77 | ~spl15_27 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f6415,f4665,f683,f6475,f6471])). 18.55/2.78 tff(f6471,plain,( 18.55/2.78 spl15_76 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK2),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_76])])). 18.55/2.78 tff(f6415,plain,( 18.55/2.78 $less(sK2,0) | ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,sK2),0) | (~spl15_27 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4670,f685])). 18.55/2.78 tff(f6449,plain,( 18.55/2.78 ~spl15_75 | ~spl15_21 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f6444,f4665,f637,f6446])). 18.55/2.78 tff(f6446,plain,( 18.55/2.78 spl15_75 <=> $less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_75])])). 18.55/2.78 tff(f6444,plain,( 18.55/2.78 ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),0) | (~spl15_21 | ~spl15_64)), 18.55/2.78 inference(evaluation,[],[f6408])). 18.55/2.78 tff(f6408,plain,( 18.55/2.78 $less(0,0) | ~$less(sK12(color1,t2tb3(sK1),t2tb3(sK5),0,sK0,0),0) | (~spl15_21 | ~spl15_64)), 18.55/2.78 inference(resolution,[],[f4670,f639])). 18.55/2.78 tff(f6355,plain,( 18.55/2.78 ~spl15_43 | ~spl15_73 | spl15_41), 18.55/2.78 inference(avatar_split_clause,[],[f6159,f1835,f5324,f2022])). 18.55/2.78 tff(f6159,plain,( 18.55/2.78 t2tb2(blue) != get(color1,int,t2tb3(sK5),t2tb(0)) | ~sort(map(int,color1),t2tb3(sK5)) | spl15_41), 18.55/2.78 inference(superposition,[],[f1836,f300])). 18.55/2.78 tff(f1836,plain,( 18.55/2.78 t2tb2(blue) != get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0)) | spl15_41), 18.55/2.78 inference(avatar_component_clause,[],[f1835])). 18.55/2.78 tff(f6137,plain,( 18.55/2.78 spl15_74), 18.55/2.78 inference(avatar_contradiction_clause,[],[f6136])). 18.55/2.78 tff(f6136,plain,( 18.55/2.78 $false | spl15_74), 18.55/2.78 inference(trivial_inequality_removal,[],[f6135])). 18.55/2.78 tff(f6135,plain,( 18.55/2.78 blue != blue | spl15_74), 18.55/2.78 inference(superposition,[],[f6114,f274])). 18.55/2.78 tff(f6114,plain,( 18.55/2.78 blue != tb2t2(t2tb2(blue)) | spl15_74), 18.55/2.78 inference(avatar_component_clause,[],[f6112])). 18.55/2.78 tff(f6112,plain,( 18.55/2.78 spl15_74 <=> blue = tb2t2(t2tb2(blue))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_74])])). 18.55/2.78 tff(f6115,plain,( 18.55/2.78 ~spl15_74 | spl15_40 | ~spl15_41), 18.55/2.78 inference(avatar_split_clause,[],[f6097,f1835,f1820,f6112])). 18.55/2.78 tff(f6097,plain,( 18.55/2.78 blue != tb2t2(t2tb2(blue)) | (spl15_40 | ~spl15_41)), 18.55/2.78 inference(backward_demodulation,[],[f1821,f1837])). 18.55/2.78 tff(f1837,plain,( 18.55/2.78 t2tb2(blue) = get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0)) | ~spl15_41), 18.55/2.78 inference(avatar_component_clause,[],[f1835])). 18.55/2.78 tff(f1821,plain,( 18.55/2.78 blue != tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0))) | spl15_40), 18.55/2.78 inference(avatar_component_clause,[],[f1820])). 18.55/2.78 tff(f5327,plain,( 18.55/2.78 spl15_73 | ~spl15_44), 18.55/2.78 inference(avatar_split_clause,[],[f5079,f2026,f5324])). 18.55/2.78 tff(f5258,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5232])). 18.55/2.78 tff(f5232,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f269])). 18.55/2.78 tff(f269,plain,( 18.55/2.78 ( ! [X0:ty] : (sort(X0,witness(X0))) )), 18.55/2.78 inference(cnf_transformation,[],[f32])). 18.55/2.78 tff(f32,axiom,( 18.55/2.78 ! [X0 : ty] : sort(X0,witness(X0))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort)). 18.55/2.78 tff(f804,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (~sort(X0,X1)) ) | ~spl15_29), 18.55/2.78 inference(avatar_component_clause,[],[f803])). 18.55/2.78 tff(f803,plain,( 18.55/2.78 spl15_29 <=> ! [X1 : uni,X0 : ty] : ~sort(X0,X1)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_29])])). 18.55/2.78 tff(f5257,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5233])). 18.55/2.78 tff(f5233,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f303])). 18.55/2.78 tff(f303,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X3:uni,X1:bool] : (sort(X0,match_bool(X0,X1,X2,X3))) )), 18.55/2.78 inference(cnf_transformation,[],[f1])). 18.55/2.78 tff(f1,axiom,( 18.55/2.78 ! [X0 : ty,X1 : bool,X2 : uni,X3 : uni] : sort(X0,match_bool(X0,X1,X2,X3))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',match_bool_sort)). 18.55/2.78 tff(f5256,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5234])). 18.55/2.78 tff(f5234,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f284])). 18.55/2.78 tff(f284,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (sort(X0,contents(X0,X1))) )), 18.55/2.78 inference(cnf_transformation,[],[f15])). 18.55/2.78 tff(f15,axiom,( 18.55/2.78 ! [X0 : ty,X1 : uni] : sort(X0,contents(X0,X1))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contents_sort)). 18.55/2.78 tff(f5255,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5235])). 18.55/2.78 tff(f5235,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f304])). 18.55/2.78 tff(f5254,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5236])). 18.55/2.78 tff(f5236,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f315])). 18.55/2.78 tff(f315,plain,( 18.55/2.78 ( ! [X4:uni,X2:uni,X0:ty,X3:uni,X1:color] : (sort(X0,match_color(X0,X1,X2,X3,X4))) )), 18.55/2.78 inference(cnf_transformation,[],[f133])). 18.55/2.78 tff(f133,plain,( 18.55/2.78 ! [X0 : ty,X1 : color,X2 : uni,X3 : uni,X4 : uni] : sort(X0,match_color(X0,X1,X2,X3,X4))), 18.55/2.78 inference(rectify,[],[f31])). 18.55/2.78 tff(f31,axiom,( 18.55/2.78 ! [X0 : ty,X1 : color,X2 : uni,X3 : uni,X23 : uni] : sort(X0,match_color(X0,X1,X2,X3,X23))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',match_color_sort)). 18.55/2.78 tff(f5253,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5238])). 18.55/2.78 tff(f5238,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f450])). 18.55/2.78 tff(f5252,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5239])). 18.55/2.78 tff(f5239,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f285])). 18.55/2.78 tff(f285,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (sort(ref(X0),mk_ref(X0,X1))) )), 18.55/2.78 inference(cnf_transformation,[],[f18])). 18.55/2.78 tff(f18,axiom,( 18.55/2.78 ! [X0 : ty,X1 : uni] : sort(ref(X0),mk_ref(X0,X1))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mk_ref_sort)). 18.55/2.78 tff(f5251,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5240])). 18.55/2.78 tff(f5240,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f279])). 18.55/2.78 tff(f279,plain,( 18.55/2.78 ( ! [X0:map_int_color] : (sort(map(int,color1),t2tb3(X0))) )), 18.55/2.78 inference(cnf_transformation,[],[f108])). 18.55/2.78 tff(f108,plain,( 18.55/2.78 ! [X0 : map_int_color] : sort(map(int,color1),t2tb3(X0))), 18.55/2.78 inference(rectify,[],[f7])). 18.55/2.78 tff(f7,axiom,( 18.55/2.78 ! [X1 : map_int_color] : sort(map(int,color1),t2tb3(X1))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3)). 18.55/2.78 tff(f5250,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5241])). 18.55/2.78 tff(f5241,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f286])). 18.55/2.78 tff(f286,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (sort(map(int,X0),elts(X0,X1))) )), 18.55/2.78 inference(cnf_transformation,[],[f19])). 18.55/2.78 tff(f19,axiom,( 18.55/2.78 ! [X0 : ty,X1 : uni] : sort(map(int,X0),elts(X0,X1))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_sort)). 18.55/2.78 tff(f5249,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5242])). 18.55/2.78 tff(f5242,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f294])). 18.55/2.78 tff(f294,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:ty] : (sort(map(X0,X1),const(X1,X0,X2))) )), 18.55/2.78 inference(cnf_transformation,[],[f117])). 18.55/2.78 tff(f117,plain,( 18.55/2.78 ! [X0 : ty,X1 : ty,X2 : uni] : sort(map(X0,X1),const(X1,X0,X2))), 18.55/2.78 inference(rectify,[],[f43])). 18.55/2.78 tff(f43,axiom,( 18.55/2.78 ! [X0 : ty,X20 : ty,X1 : uni] : sort(map(X0,X20),const(X20,X0,X1))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_sort)). 18.55/2.78 tff(f5248,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5243])). 18.55/2.78 tff(f5243,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f316])). 18.55/2.78 tff(f316,plain,( 18.55/2.78 ( ! [X4:uni,X2:uni,X0:ty,X3:uni,X1:ty] : (sort(map(X0,X1),set(X1,X0,X2,X3,X4))) )), 18.55/2.78 inference(cnf_transformation,[],[f134])). 18.55/2.78 tff(f134,plain,( 18.55/2.78 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : sort(map(X0,X1),set(X1,X0,X2,X3,X4))), 18.55/2.78 inference(rectify,[],[f73])). 18.55/2.78 tff(f73,axiom,( 18.55/2.78 ! [X0 : ty,X20 : ty,X1 : uni,X2 : uni,X3 : uni] : sort(map(X0,X20),set(X20,X0,X1,X2,X3))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_sort)). 18.55/2.78 tff(f5247,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5244])). 18.55/2.78 tff(f5244,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f521])). 18.55/2.78 tff(f521,plain,( 18.55/2.78 ( ! [X2:ty,X3:uni] : (sort(array(X2),X3)) )), 18.55/2.78 inference(superposition,[],[f292,f287])). 18.55/2.78 tff(f287,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (mk_array(X0,length(X0,X1),elts(X0,X1)) = X1) )), 18.55/2.78 inference(cnf_transformation,[],[f113])). 18.55/2.78 tff(f113,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni] : mk_array(X0,length(X0,X1),elts(X0,X1)) = X1), 18.55/2.78 inference(rectify,[],[f42])). 18.55/2.78 tff(f42,axiom,( 18.55/2.78 ! [X0 : ty,X8 : uni] : mk_array(X0,length(X0,X8),elts(X0,X8)) = X8), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',array_inversion)). 18.55/2.78 tff(f292,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X1:$int] : (sort(array(X0),mk_array(X0,X1,X2))) )), 18.55/2.78 inference(cnf_transformation,[],[f68])). 18.55/2.78 tff(f68,axiom,( 18.55/2.78 ! [X0 : ty,X1 : $int,X2 : uni] : sort(array(X0),mk_array(X0,X1,X2))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mk_array_sort)). 18.55/2.78 tff(f5246,plain,( 18.55/2.78 ~spl15_29), 18.55/2.78 inference(avatar_contradiction_clause,[],[f5245])). 18.55/2.78 tff(f5245,plain,( 18.55/2.78 $false | ~spl15_29), 18.55/2.78 inference(resolution,[],[f804,f270])). 18.55/2.78 tff(f5231,plain,( 18.55/2.78 spl15_29 | spl15_72), 18.55/2.78 inference(avatar_split_clause,[],[f1886,f5229,f803])). 18.55/2.78 tff(f5229,plain,( 18.55/2.78 spl15_72 <=> ! [X11 : $int,X13 : uni,X12 : ty,X14 : uni] : (~$less(occ(X12,X13,X14,0,$sum(X11,$uminus(X11))),0) | $less(X11,X11))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_72])])). 18.55/2.78 tff(f1886,plain,( 18.55/2.78 ( ! [X14:uni,X12:ty,X8:ty,X13:uni,X11:$int,X9:uni] : (~$less(occ(X12,X13,X14,0,$sum(X11,$uminus(X11))),0) | $less(X11,X11) | ~sort(X8,X9)) )), 18.55/2.78 inference(superposition,[],[f687,f778])). 18.55/2.78 tff(f778,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X3:$int,X1:uni] : (0 = occ(X0,X1,X2,X3,X3) | ~sort(X0,X1)) )), 18.55/2.78 inference(duplicate_literal_removal,[],[f777])). 18.55/2.78 tff(f777,plain,( 18.55/2.78 ( ! [X2:uni,X0:ty,X3:$int,X1:uni] : (0 = occ(X0,X1,X2,X3,X3) | ~sort(X0,X1) | 0 = occ(X0,X1,X2,X3,X3) | ~sort(X0,X1)) )), 18.55/2.78 inference(resolution,[],[f330,f329])). 18.55/2.78 tff(f329,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (~$less(sK10(X0,X1,X2,X3,X4),X3) | 0 = occ(X0,X1,X2,X3,X4) | ~sort(X0,X1)) )), 18.55/2.78 inference(cnf_transformation,[],[f230])). 18.55/2.78 tff(f330,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : ($less(sK10(X0,X1,X2,X3,X4),X4) | 0 = occ(X0,X1,X2,X3,X4) | ~sort(X0,X1)) )), 18.55/2.78 inference(cnf_transformation,[],[f230])). 18.55/2.78 tff(f5141,plain,( 18.55/2.78 spl15_71 | ~spl15_31 | ~spl15_59), 18.55/2.78 inference(avatar_split_clause,[],[f5094,f4374,f841,f5138])). 18.55/2.78 tff(f5138,plain,( 18.55/2.78 spl15_71 <=> get(color1,int,t2tb3(sK5),t2tb(sK3)) = witness(color1)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_71])])). 18.55/2.78 tff(f4374,plain,( 18.55/2.78 spl15_59 <=> witness(color1) = t2tb2(white)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_59])])). 18.55/2.78 tff(f5094,plain,( 18.55/2.78 get(color1,int,t2tb3(sK5),t2tb(sK3)) = witness(color1) | (~spl15_31 | ~spl15_59)), 18.55/2.78 inference(backward_demodulation,[],[f843,f4376])). 18.55/2.78 tff(f4376,plain,( 18.55/2.78 witness(color1) = t2tb2(white) | ~spl15_59), 18.55/2.78 inference(avatar_component_clause,[],[f4374])). 18.55/2.78 tff(f5089,plain,( 18.55/2.78 spl15_70 | ~spl15_44 | ~spl15_55), 18.55/2.78 inference(avatar_split_clause,[],[f5083,f4238,f2026,f5086])). 18.55/2.78 tff(f5086,plain,( 18.55/2.78 spl15_70 <=> witness(color1) = get(color1,int,t2tb3(sK5),t2tb(0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_70])])). 18.55/2.78 tff(f4238,plain,( 18.55/2.78 spl15_55 <=> witness(color1) = t2tb2(blue)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_55])])). 18.55/2.78 tff(f5083,plain,( 18.55/2.78 witness(color1) = get(color1,int,t2tb3(sK5),t2tb(0)) | (~spl15_44 | ~spl15_55)), 18.55/2.78 inference(forward_demodulation,[],[f5079,f4240])). 18.55/2.78 tff(f4240,plain,( 18.55/2.78 witness(color1) = t2tb2(blue) | ~spl15_55), 18.55/2.78 inference(avatar_component_clause,[],[f4238])). 18.55/2.78 tff(f5076,plain,( 18.55/2.78 ~spl15_43 | spl15_44 | ~spl15_40), 18.55/2.78 inference(avatar_split_clause,[],[f1828,f1820,f2026,f2022])). 18.55/2.78 tff(f1828,plain,( 18.55/2.78 blue = tb2t2(get(color1,int,t2tb3(sK5),t2tb(0))) | ~sort(map(int,color1),t2tb3(sK5)) | ~spl15_40), 18.55/2.78 inference(superposition,[],[f1822,f300])). 18.55/2.78 tff(f5005,plain,( 18.55/2.78 spl15_1 | spl15_69 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f4988,f4665,f5003,f384])). 18.55/2.78 tff(f5003,plain,( 18.55/2.78 spl15_69 <=> ! [X14 : uni] : ~$less($sum(sK0,0),occ(color1,X14,t2tb3(sK1),0,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_69])])). 18.55/2.78 tff(f4988,plain,( 18.55/2.78 ( ! [X14:uni] : (~$less($sum(sK0,0),occ(color1,X14,t2tb3(sK1),0,sK0)) | $less(sK0,0)) ) | ~spl15_64), 18.55/2.78 inference(evaluation,[],[f4972])). 18.55/2.78 tff(f4972,plain,( 18.55/2.78 ( ! [X14:uni] : (~$less($sum(sK0,$uminus(0)),occ(color1,X14,t2tb3(sK1),0,sK0)) | $less(sK0,0)) ) | ~spl15_64), 18.55/2.78 inference(superposition,[],[f323,f4669])). 18.55/2.78 tff(f4994,plain,( 18.55/2.78 spl15_68 | ~spl15_36 | ~spl15_64), 18.55/2.78 inference(avatar_split_clause,[],[f4965,f4665,f1178,f4991])). 18.55/2.78 tff(f4965,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK1),0,sK0)) | (~spl15_36 | ~spl15_64)), 18.55/2.78 inference(backward_demodulation,[],[f1180,f4669])). 18.55/2.78 tff(f4742,plain,( 18.55/2.78 spl15_25 | spl15_67 | spl15_2), 18.55/2.78 inference(avatar_split_clause,[],[f2188,f389,f4740,f664])). 18.55/2.78 tff(f2188,plain,( 18.55/2.78 ( ! [X277:uni,X279:$int,X276:ty,X278:uni] : (occ(X276,X277,X278,X279,sK4) = $sum(occ(X276,X277,X278,X279,0),0) | $less(0,X279) | $less(0,sK4)) ) | spl15_2), 18.55/2.78 inference(resolution,[],[f965,f391])). 18.55/2.78 tff(f4738,plain,( 18.55/2.78 spl15_66 | ~spl15_6 | ~spl15_31 | spl15_52), 18.55/2.78 inference(avatar_split_clause,[],[f4731,f4217,f841,f409,f4735])). 18.55/2.78 tff(f4735,plain,( 18.55/2.78 spl15_66 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,sK2))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_66])])). 18.55/2.78 tff(f409,plain,( 18.55/2.78 spl15_6 <=> $less(sK3,sK2)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_6])])). 18.55/2.78 tff(f4731,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,sK2)) | (~spl15_6 | ~spl15_31 | spl15_52)), 18.55/2.78 inference(superposition,[],[f4222,f843])). 18.55/2.78 tff(f4222,plain,( 18.55/2.78 ( ! [X2:ty,X3:uni] : ($less(0,occ(X2,get(X2,int,X3,t2tb(sK3)),X3,sK3,sK2))) ) | (~spl15_6 | spl15_52)), 18.55/2.78 inference(resolution,[],[f4219,f796])). 18.55/2.78 tff(f796,plain,( 18.55/2.78 ( ! [X21:uni,X22:$int,X20:ty] : ($less(sK3,X22) | $less(0,occ(X20,get(X20,int,X21,t2tb(sK3)),X21,X22,sK2))) ) | ~spl15_6), 18.55/2.78 inference(resolution,[],[f333,f411])). 18.55/2.78 tff(f411,plain,( 18.55/2.78 $less(sK3,sK2) | ~spl15_6), 18.55/2.78 inference(avatar_component_clause,[],[f409])). 18.55/2.78 tff(f4704,plain,( 18.55/2.78 spl15_65 | ~spl15_8 | ~spl15_31 | spl15_52), 18.55/2.78 inference(avatar_split_clause,[],[f4697,f4217,f841,f419,f4701])). 18.55/2.78 tff(f4701,plain,( 18.55/2.78 spl15_65 <=> $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,sK0))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_65])])). 18.55/2.78 tff(f4697,plain,( 18.55/2.78 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK3,sK0)) | (~spl15_8 | ~spl15_31 | spl15_52)), 18.55/2.78 inference(superposition,[],[f4221,f843])). 18.55/2.78 tff(f4221,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : ($less(0,occ(X0,get(X0,int,X1,t2tb(sK3)),X1,sK3,sK0))) ) | (~spl15_8 | spl15_52)), 18.55/2.78 inference(resolution,[],[f4219,f797])). 18.55/2.78 tff(f797,plain,( 18.55/2.78 ( ! [X24:uni,X23:ty,X25:$int] : ($less(sK3,X25) | $less(0,occ(X23,get(X23,int,X24,t2tb(sK3)),X24,X25,sK0))) ) | ~spl15_8), 18.55/2.78 inference(resolution,[],[f333,f421])). 18.55/2.78 tff(f4668,plain,( 18.55/2.78 ~spl15_43 | spl15_64 | ~spl15_46), 18.55/2.78 inference(avatar_split_clause,[],[f4177,f4163,f4665,f2022])). 18.55/2.78 tff(f4163,plain,( 18.55/2.78 spl15_46 <=> permut(color1,t2tb3(sK1),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_46])])). 18.55/2.78 tff(f4177,plain,( 18.55/2.78 permut(color1,t2tb3(sK1),t2tb3(sK5),0,sK0) | ~sort(map(int,color1),t2tb3(sK5)) | ~spl15_46), 18.55/2.78 inference(superposition,[],[f4165,f300])). 18.55/2.78 tff(f4165,plain,( 18.55/2.78 permut(color1,t2tb3(sK1),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0) | ~spl15_46), 18.55/2.78 inference(avatar_component_clause,[],[f4163])). 18.55/2.78 tff(f4618,plain,( 18.55/2.78 spl15_62 | spl15_63 | ~spl15_8), 18.55/2.78 inference(avatar_split_clause,[],[f2212,f419,f4616,f4612])). 18.55/2.78 tff(f4616,plain,( 18.55/2.78 spl15_63 <=> ! [X1 : uni,X0 : ty] : 1 = occ(X0,get(X0,int,X1,t2tb($sum(sK0,-1))),X1,sK3,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_63])])). 18.55/2.78 tff(f2212,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (1 = occ(X0,get(X0,int,X1,t2tb($sum(sK0,-1))),X1,sK3,sK0) | $less(sK3,$sum(sK0,-1))) ) | ~spl15_8), 18.55/2.78 inference(evaluation,[],[f2211])). 18.55/2.78 tff(f2211,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : ($sum(1,0) = occ(X0,get(X0,int,X1,t2tb($sum(sK0,-1))),X1,sK3,sK0) | $less(sK3,$sum(sK0,-1))) ) | ~spl15_8), 18.55/2.78 inference(superposition,[],[f1090,f321])). 18.55/2.78 tff(f1090,plain,( 18.55/2.78 ( ! [X47:ty,X48:uni] : (occ(X47,get(X47,int,X48,t2tb($sum(sK0,-1))),X48,sK3,sK0) = $sum(1,occ(X47,get(X47,int,X48,t2tb($sum(sK0,-1))),X48,sK3,$sum(sK0,-1)))) ) | ~spl15_8), 18.55/2.78 inference(resolution,[],[f382,f421])). 18.55/2.78 tff(f382,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int] : (~$less(X3,X4) | occ(X0,get(X0,int,X2,t2tb($sum(X4,-1))),X2,X3,X4) = $sum(1,occ(X0,get(X0,int,X2,t2tb($sum(X4,-1))),X2,X3,$sum(X4,-1)))) )), 18.55/2.78 inference(evaluation,[],[f379])). 18.55/2.78 tff(f379,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int] : (occ(X0,get(X0,int,X2,t2tb($sum(X4,$uminus(1)))),X2,X3,X4) = $sum(1,occ(X0,get(X0,int,X2,t2tb($sum(X4,$uminus(1)))),X2,X3,$sum(X4,$uminus(1)))) | ~$less(X3,X4)) )), 18.55/2.78 inference(equality_resolution,[],[f320])). 18.55/2.78 tff(f320,plain,( 18.55/2.78 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (occ(X0,X1,X2,X3,X4) = $sum(1,occ(X0,X1,X2,X3,$sum(X4,$uminus(1)))) | get(X0,int,X2,t2tb($sum(X4,$uminus(1)))) != X1 | ~$less(X3,X4)) )), 18.55/2.78 inference(cnf_transformation,[],[f181])). 18.55/2.78 tff(f181,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (occ(X0,X1,X2,X3,X4) = $sum(1,occ(X0,X1,X2,X3,$sum(X4,$uminus(1)))) | get(X0,int,X2,t2tb($sum(X4,$uminus(1)))) != X1 | ~$less(X3,X4))), 18.55/2.78 inference(flattening,[],[f180])). 18.55/2.78 tff(f180,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((occ(X0,X1,X2,X3,X4) = $sum(1,occ(X0,X1,X2,X3,$sum(X4,$uminus(1)))) | get(X0,int,X2,t2tb($sum(X4,$uminus(1)))) != X1) | ~$less(X3,X4))), 18.55/2.78 inference(ennf_transformation,[],[f136])). 18.55/2.78 tff(f136,plain,( 18.55/2.78 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ($less(X3,X4) => (get(X0,int,X2,t2tb($sum(X4,$uminus(1)))) = X1 => occ(X0,X1,X2,X3,X4) = $sum(1,occ(X0,X1,X2,X3,$sum(X4,$uminus(1))))))), 18.55/2.78 inference(rectify,[],[f80])). 18.55/2.78 tff(f80,plain,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : ($less(X7,X8) => (get(X0,int,X6,t2tb($sum(X8,$uminus(1)))) = X11 => occ(X0,X11,X6,X7,X8) = $sum(1,occ(X0,X11,X6,X7,$sum(X8,$uminus(1))))))), 18.55/2.78 inference(theory_normalization,[],[f64])). 18.55/2.78 tff(f64,axiom,( 18.55/2.78 ! [X0 : ty,X11 : uni,X6 : uni,X7 : $int,X8 : $int] : ($less(X7,X8) => (get(X0,int,X6,t2tb($difference(X8,1))) = X11 => occ(X0,X11,X6,X7,X8) = $sum(1,occ(X0,X11,X6,X7,$difference(X8,1)))))), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_right_add)). 18.55/2.78 tff(f4605,plain,( 18.55/2.78 spl15_60 | spl15_61 | ~spl15_6), 18.55/2.78 inference(avatar_split_clause,[],[f2202,f409,f4603,f4599])). 18.55/2.78 tff(f4603,plain,( 18.55/2.78 spl15_61 <=> ! [X1 : uni,X0 : ty] : 1 = occ(X0,get(X0,int,X1,t2tb($sum(sK2,-1))),X1,sK3,sK2)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_61])])). 18.55/2.78 tff(f2202,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (1 = occ(X0,get(X0,int,X1,t2tb($sum(sK2,-1))),X1,sK3,sK2) | $less(sK3,$sum(sK2,-1))) ) | ~spl15_6), 18.55/2.78 inference(evaluation,[],[f2201])). 18.55/2.78 tff(f2201,plain,( 18.55/2.78 ( ! [X0:ty,X1:uni] : (occ(X0,get(X0,int,X1,t2tb($sum(sK2,-1))),X1,sK3,sK2) = $sum(1,0) | $less(sK3,$sum(sK2,-1))) ) | ~spl15_6), 18.55/2.78 inference(superposition,[],[f1089,f321])). 18.55/2.78 tff(f1089,plain,( 18.55/2.78 ( ! [X45:ty,X46:uni] : (occ(X45,get(X45,int,X46,t2tb($sum(sK2,-1))),X46,sK3,sK2) = $sum(1,occ(X45,get(X45,int,X46,t2tb($sum(sK2,-1))),X46,sK3,$sum(sK2,-1)))) ) | ~spl15_6), 18.55/2.78 inference(resolution,[],[f382,f411])). 18.55/2.78 tff(f4452,plain,( 18.55/2.78 spl15_57 | ~spl15_55), 18.55/2.78 inference(avatar_split_clause,[],[f4290,f4238,f4321])). 18.55/2.78 tff(f4321,plain,( 18.55/2.78 spl15_57 <=> blue = tb2t2(witness(color1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_57])])). 18.55/2.78 tff(f4290,plain,( 18.55/2.78 blue = tb2t2(witness(color1)) | ~spl15_55), 18.55/2.78 inference(superposition,[],[f274,f4240])). 18.55/2.78 tff(f4377,plain,( 18.55/2.78 spl15_59 | ~spl15_19 | ~spl15_54), 18.55/2.78 inference(avatar_split_clause,[],[f4359,f4234,f486,f4374])). 18.55/2.78 tff(f486,plain,( 18.55/2.78 spl15_19 <=> witness(color1) = t2tb2(tb2t2(witness(color1)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_19])])). 18.55/2.78 tff(f4234,plain,( 18.55/2.78 spl15_54 <=> white = tb2t2(witness(color1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_54])])). 18.55/2.78 tff(f4359,plain,( 18.55/2.78 witness(color1) = t2tb2(white) | (~spl15_19 | ~spl15_54)), 18.55/2.78 inference(backward_demodulation,[],[f488,f4236])). 18.55/2.78 tff(f4236,plain,( 18.55/2.78 white = tb2t2(witness(color1)) | ~spl15_54), 18.55/2.78 inference(avatar_component_clause,[],[f4234])). 18.55/2.78 tff(f488,plain,( 18.55/2.78 witness(color1) = t2tb2(tb2t2(witness(color1))) | ~spl15_19), 18.55/2.78 inference(avatar_component_clause,[],[f486])). 18.55/2.78 tff(f4367,plain,( 18.55/2.78 ~spl15_58 | ~spl15_30 | spl15_52), 18.55/2.78 inference(avatar_split_clause,[],[f4223,f4217,f806,f4364])). 18.55/2.78 tff(f4364,plain,( 18.55/2.78 spl15_58 <=> $less($sum(sK3,$uminus(sK3)),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_58])])). 18.55/2.78 tff(f806,plain,( 18.55/2.78 spl15_30 <=> ! [X3 : $int] : (~$less($sum(X3,$uminus(X3)),0) | $less(X3,X3))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_30])])). 18.55/2.78 tff(f4223,plain,( 18.55/2.78 ~$less($sum(sK3,$uminus(sK3)),0) | (~spl15_30 | spl15_52)), 18.55/2.78 inference(resolution,[],[f4219,f807])). 18.55/2.78 tff(f807,plain,( 18.55/2.78 ( ! [X3:$int] : ($less(X3,X3) | ~$less($sum(X3,$uminus(X3)),0)) ) | ~spl15_30), 18.55/2.78 inference(avatar_component_clause,[],[f806])). 18.55/2.78 tff(f4324,plain,( 18.55/2.78 spl15_57 | ~spl15_55), 18.55/2.78 inference(avatar_split_clause,[],[f4290,f4238,f4321])). 18.55/2.78 tff(f4254,plain,( 18.55/2.78 spl15_56 | ~spl15_19 | ~spl15_53), 18.55/2.78 inference(avatar_split_clause,[],[f4248,f4230,f486,f4251])). 18.55/2.78 tff(f4251,plain,( 18.55/2.78 spl15_56 <=> witness(color1) = t2tb2(red)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_56])])). 18.55/2.78 tff(f4230,plain,( 18.55/2.78 spl15_53 <=> red = tb2t2(witness(color1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_53])])). 18.55/2.78 tff(f4248,plain,( 18.55/2.78 witness(color1) = t2tb2(red) | (~spl15_19 | ~spl15_53)), 18.55/2.78 inference(backward_demodulation,[],[f488,f4232])). 18.55/2.78 tff(f4232,plain,( 18.55/2.78 red = tb2t2(witness(color1)) | ~spl15_53), 18.55/2.78 inference(avatar_component_clause,[],[f4230])). 18.55/2.78 tff(f4241,plain,( 18.55/2.78 spl15_53 | spl15_54 | spl15_55 | ~spl15_19), 18.55/2.78 inference(avatar_split_clause,[],[f501,f486,f4238,f4234,f4230])). 18.55/2.78 tff(f501,plain,( 18.55/2.78 witness(color1) = t2tb2(blue) | white = tb2t2(witness(color1)) | red = tb2t2(witness(color1)) | ~spl15_19), 18.55/2.78 inference(superposition,[],[f488,f281])). 18.55/2.78 tff(f281,plain,( 18.55/2.78 ( ! [X0:color] : (blue = X0 | white = X0 | red = X0) )), 18.55/2.78 inference(cnf_transformation,[],[f110])). 18.55/2.78 tff(f110,plain,( 18.55/2.78 ! [X0 : color] : (red = X0 | white = X0 | blue = X0)), 18.55/2.78 inference(rectify,[],[f12])). 18.55/2.78 tff(f12,axiom,( 18.55/2.78 ! [X8 : color] : (red = X8 | white = X8 | blue = X8)), 18.55/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',color_inversion)). 18.55/2.78 tff(f4220,plain,( 18.55/2.78 spl15_51 | ~spl15_52 | spl15_5 | ~spl15_16), 18.55/2.78 inference(avatar_split_clause,[],[f1619,f466,f404,f4217,f4213])). 18.55/2.78 tff(f4213,plain,( 18.55/2.78 spl15_51 <=> white = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK3)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_51])])). 18.55/2.78 tff(f1619,plain,( 18.55/2.78 ~$less(sK3,sK3) | white = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK3))) | (spl15_5 | ~spl15_16)), 18.55/2.78 inference(resolution,[],[f897,f406])). 18.55/2.78 tff(f4211,plain,( 18.55/2.78 ~spl15_50 | ~spl15_30 | spl15_49), 18.55/2.78 inference(avatar_split_clause,[],[f4201,f4197,f806,f4208])). 18.55/2.78 tff(f4208,plain,( 18.55/2.78 spl15_50 <=> $less($sum(sK0,$uminus(sK0)),0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_50])])). 18.55/2.78 tff(f4197,plain,( 18.55/2.78 spl15_49 <=> $less(sK0,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_49])])). 18.55/2.78 tff(f4201,plain,( 18.55/2.78 ~$less($sum(sK0,$uminus(sK0)),0) | (~spl15_30 | spl15_49)), 18.55/2.78 inference(resolution,[],[f4199,f807])). 18.55/2.78 tff(f4199,plain,( 18.55/2.78 ~$less(sK0,sK0) | spl15_49), 18.55/2.78 inference(avatar_component_clause,[],[f4197])). 18.55/2.78 tff(f4200,plain,( 18.55/2.78 spl15_48 | ~spl15_49 | spl15_3 | ~spl15_15), 18.55/2.78 inference(avatar_split_clause,[],[f1602,f461,f394,f4197,f4193])). 18.55/2.78 tff(f4193,plain,( 18.55/2.78 spl15_48 <=> red = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK0)))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_48])])). 18.55/2.78 tff(f461,plain,( 18.55/2.78 spl15_15 <=> monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK2,sK0,red)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_15])])). 18.55/2.78 tff(f1602,plain,( 18.55/2.78 ~$less(sK0,sK0) | red = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK0))) | (spl15_3 | ~spl15_15)), 18.55/2.78 inference(resolution,[],[f896,f396])). 18.55/2.78 tff(f896,plain,( 18.55/2.78 ( ! [X1:$int] : ($less(X1,sK2) | ~$less(X1,sK0) | red = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(X1)))) ) | ~spl15_15), 18.55/2.78 inference(forward_demodulation,[],[f890,f275])). 18.55/2.78 tff(f890,plain,( 18.55/2.78 ( ! [X1:$int] : (~$less(X1,sK0) | $less(X1,sK2) | red = tb2t2(get(color1,int,elts(color1,t2tb1(tb2t1(mk_array(color1,sK0,t2tb3(sK5))))),t2tb(X1)))) ) | ~spl15_15), 18.55/2.78 inference(resolution,[],[f377,f463])). 18.55/2.78 tff(f463,plain,( 18.55/2.78 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK2,sK0,red) | ~spl15_15), 18.55/2.78 inference(avatar_component_clause,[],[f461])). 18.55/2.78 tff(f4182,plain,( 18.55/2.78 ~spl15_43 | spl15_47 | ~spl15_39), 18.55/2.78 inference(avatar_split_clause,[],[f1269,f1250,f4179,f2022])). 18.55/2.78 tff(f4179,plain,( 18.55/2.78 spl15_47 <=> permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),t2tb3(sK5),0,sK0)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_47])])). 18.55/2.78 tff(f1269,plain,( 18.55/2.78 permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),t2tb3(sK5),0,sK0) | ~sort(map(int,color1),t2tb3(sK5)) | ~spl15_39), 18.55/2.78 inference(superposition,[],[f1252,f300])). 18.55/2.78 tff(f4168,plain,( 18.55/2.78 spl15_45), 18.55/2.78 inference(avatar_contradiction_clause,[],[f4167])). 18.55/2.78 tff(f4167,plain,( 18.55/2.78 $false | spl15_45), 18.55/2.78 inference(resolution,[],[f4161,f279])). 18.55/2.78 tff(f4161,plain,( 18.55/2.78 ~sort(map(int,color1),t2tb3(sK1)) | spl15_45), 18.55/2.78 inference(avatar_component_clause,[],[f4159])). 18.55/2.78 tff(f4159,plain,( 18.55/2.78 spl15_45 <=> sort(map(int,color1),t2tb3(sK1))), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_45])])). 18.55/2.78 tff(f4166,plain,( 18.55/2.78 ~spl15_45 | spl15_46 | ~spl15_39), 18.55/2.78 inference(avatar_split_clause,[],[f1268,f1250,f4163,f4159])). 18.55/2.78 tff(f1268,plain,( 18.55/2.78 permut(color1,t2tb3(sK1),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0) | ~sort(map(int,color1),t2tb3(sK1)) | ~spl15_39), 18.55/2.78 inference(superposition,[],[f1252,f300])). 18.55/2.78 tff(f2035,plain,( 18.55/2.78 spl15_43), 18.55/2.78 inference(avatar_contradiction_clause,[],[f2034])). 18.55/2.78 tff(f2034,plain,( 18.55/2.78 $false | spl15_43), 18.55/2.78 inference(resolution,[],[f2024,f279])). 18.55/2.78 tff(f2024,plain,( 18.55/2.78 ~sort(map(int,color1),t2tb3(sK5)) | spl15_43), 18.55/2.78 inference(avatar_component_clause,[],[f2022])). 18.55/2.78 tff(f2029,plain,( 18.55/2.78 ~spl15_43 | ~spl15_44 | spl15_40), 18.55/2.78 inference(avatar_split_clause,[],[f1918,f1820,f2026,f2022])). 18.55/2.78 tff(f1918,plain,( 18.55/2.78 blue != tb2t2(get(color1,int,t2tb3(sK5),t2tb(0))) | ~sort(map(int,color1),t2tb3(sK5)) | spl15_40), 18.55/2.78 inference(superposition,[],[f1821,f300])). 18.55/2.78 tff(f1906,plain,( 18.55/2.78 ~spl15_42 | spl15_18), 18.55/2.78 inference(avatar_split_clause,[],[f879,f476,f1903])). 18.55/2.78 tff(f476,plain,( 18.55/2.78 spl15_18 <=> monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_18])])). 18.55/2.78 tff(f879,plain,( 18.55/2.78 white != tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | spl15_18), 18.55/2.78 inference(forward_demodulation,[],[f878,f275])). 18.55/2.78 tff(f878,plain,( 18.55/2.78 white != tb2t2(get(color1,int,elts(color1,t2tb1(tb2t1(mk_array(color1,sK0,t2tb3(sK5))))),t2tb(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)))) | spl15_18), 18.55/2.78 inference(resolution,[],[f378,f478])). 18.55/2.78 tff(f478,plain,( 18.55/2.78 ~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white) | spl15_18), 18.55/2.78 inference(avatar_component_clause,[],[f476])). 18.55/2.78 tff(f378,plain,( 18.55/2.78 ( ! [X2:$int,X0:array_color,X3:color,X1:$int] : (monochrome(X0,X1,X2,X3) | tb2t2(get(color1,int,elts(color1,t2tb1(X0)),t2tb(sK7(X0,X1,X2,X3)))) != X3) )), 18.55/2.78 inference(definition_unfolding,[],[f313,f296])). 18.55/2.78 tff(f313,plain,( 18.55/2.78 ( ! [X2:$int,X0:array_color,X3:color,X1:$int] : (monochrome(X0,X1,X2,X3) | tb2t2(get1(color1,t2tb1(X0),sK7(X0,X1,X2,X3))) != X3) )), 18.55/2.78 inference(cnf_transformation,[],[f224])). 18.55/2.78 tff(f1838,plain,( 18.55/2.78 spl15_41 | ~spl15_40), 18.55/2.78 inference(avatar_split_clause,[],[f1830,f1820,f1835])). 18.55/2.78 tff(f1823,plain,( 18.55/2.78 spl15_40 | ~spl15_14 | ~spl15_25), 18.55/2.78 inference(avatar_split_clause,[],[f1588,f664,f456,f1820])). 18.55/2.78 tff(f456,plain,( 18.55/2.78 spl15_14 <=> monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),0,sK4,blue)), 18.55/2.78 introduced(avatar_definition,[new_symbols(naming,[spl15_14])])). 18.55/2.78 tff(f1588,plain,( 18.55/2.78 blue = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0))) | (~spl15_14 | ~spl15_25)), 18.55/2.78 inference(evaluation,[],[f1574])). 18.55/2.78 tff(f1574,plain,( 18.55/2.78 blue = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(0))) | $less(0,0) | (~spl15_14 | ~spl15_25)), 18.55/2.78 inference(resolution,[],[f895,f666])). 18.55/2.78 tff(f666,plain,( 18.55/2.78 $less(0,sK4) | ~spl15_25), 18.55/2.78 inference(avatar_component_clause,[],[f664])). 18.55/2.78 tff(f895,plain,( 18.55/2.78 ( ! [X0:$int] : (~$less(X0,sK4) | blue = tb2t2(get(color1,int,elts(color1,mk_array(color1,sK0,t2tb3(sK5))),t2tb(X0))) | $less(X0,0)) ) | ~spl15_14), 18.55/2.78 inference(forward_demodulation,[],[f889,f275])). 18.55/2.78 tff(f889,plain,( 18.55/2.78 ( ! [X0:$int] : (~$less(X0,sK4) | $less(X0,0) | blue = tb2t2(get(color1,int,elts(color1,t2tb1(tb2t1(mk_array(color1,sK0,t2tb3(sK5))))),t2tb(X0)))) ) | ~spl15_14), 18.55/2.78 inference(resolution,[],[f377,f458])). 18.55/2.78 tff(f458,plain,( 18.55/2.78 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),0,sK4,blue) | ~spl15_14), 18.55/2.78 inference(avatar_component_clause,[],[f456])). 18.55/2.78 tff(f1253,plain,( 18.55/2.78 spl15_39 | ~spl15_20), 18.55/2.78 inference(avatar_split_clause,[],[f710,f506,f1250])). 18.55/2.79 tff(f506,plain,( 18.55/2.79 spl15_20 <=> permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(sK5)))), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_20])])). 18.55/2.79 tff(f710,plain,( 18.55/2.79 permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,sK0) | ~spl15_20), 18.55/2.79 inference(forward_demodulation,[],[f708,f293])). 18.55/2.79 tff(f293,plain,( 18.55/2.79 ( ! [X2:uni,X0:ty,X1:$int] : (length(X0,mk_array(X0,X1,X2)) = X1) )), 18.55/2.79 inference(cnf_transformation,[],[f116])). 18.55/2.79 tff(f116,plain,( 18.55/2.79 ! [X0 : ty,X1 : $int,X2 : uni] : length(X0,mk_array(X0,X1,X2)) = X1), 18.55/2.79 inference(rectify,[],[f59])). 18.55/2.79 tff(f59,axiom,( 18.55/2.79 ! [X0 : ty,X8 : $int,X26 : uni] : length(X0,mk_array(X0,X8,X26)) = X8), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 18.55/2.79 tff(f708,plain,( 18.55/2.79 permut(color1,elts(color1,mk_array(color1,sK0,t2tb3(sK1))),elts(color1,mk_array(color1,sK0,t2tb3(sK5))),0,length(color1,mk_array(color1,sK0,t2tb3(sK1)))) | ~spl15_20), 18.55/2.79 inference(resolution,[],[f302,f508])). 18.55/2.79 tff(f508,plain,( 18.55/2.79 permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(sK5))) | ~spl15_20), 18.55/2.79 inference(avatar_component_clause,[],[f506])). 18.55/2.79 tff(f302,plain,( 18.55/2.79 ( ! [X2:uni,X0:ty,X1:uni] : (~permut_all(X0,X1,X2) | permut(X0,elts(X0,X1),elts(X0,X2),0,length(X0,X1))) )), 18.55/2.79 inference(cnf_transformation,[],[f172])). 18.55/2.79 tff(f172,plain,( 18.55/2.79 ! [X0 : ty,X1 : uni,X2 : uni] : ((permut(X0,elts(X0,X1),elts(X0,X2),0,length(X0,X1)) & length(X0,X1) = length(X0,X2)) | ~permut_all(X0,X1,X2))), 18.55/2.79 inference(ennf_transformation,[],[f159])). 18.55/2.79 tff(f159,plain,( 18.55/2.79 ! [X0 : ty,X1 : uni,X2 : uni] : (permut_all(X0,X1,X2) => (permut(X0,elts(X0,X1),elts(X0,X2),0,length(X0,X1)) & length(X0,X1) = length(X0,X2)))), 18.55/2.79 inference(unused_predicate_definition_removal,[],[f125])). 18.55/2.79 tff(f125,plain,( 18.55/2.79 ! [X0 : ty,X1 : uni,X2 : uni] : ((permut(X0,elts(X0,X1),elts(X0,X2),0,length(X0,X1)) & length(X0,X1) = length(X0,X2)) <=> permut_all(X0,X1,X2))), 18.55/2.79 inference(rectify,[],[f39])). 18.55/2.79 tff(f39,axiom,( 18.55/2.79 ! [X0 : ty,X17 : uni,X18 : uni] : ((permut(X0,elts(X0,X17),elts(X0,X18),0,length(X0,X17)) & length(X0,X17) = length(X0,X18)) <=> permut_all(X0,X17,X18))), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_all_def)). 18.55/2.79 tff(f1214,plain,( 18.55/2.79 spl15_38 | spl15_5 | ~spl15_8 | ~spl15_31), 18.55/2.79 inference(avatar_split_clause,[],[f1200,f841,f419,f404,f1211])). 18.55/2.79 tff(f1200,plain,( 18.55/2.79 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK0)) | (spl15_5 | ~spl15_8 | ~spl15_31)), 18.55/2.79 inference(superposition,[],[f1135,f843])). 18.55/2.79 tff(f1135,plain,( 18.55/2.79 ( ! [X14:uni,X13:ty] : ($less(0,occ(X13,get(X13,int,X14,t2tb(sK3)),X14,sK4,sK0))) ) | (spl15_5 | ~spl15_8)), 18.55/2.79 inference(resolution,[],[f797,f406])). 18.55/2.79 tff(f1207,plain,( 18.55/2.79 spl15_37 | spl15_5 | ~spl15_8), 18.55/2.79 inference(avatar_split_clause,[],[f1202,f419,f404,f1204])). 18.55/2.79 tff(f1202,plain,( 18.55/2.79 $less(sK4,sK0) | (spl15_5 | ~spl15_8)), 18.55/2.79 inference(evaluation,[],[f1201])). 18.55/2.79 tff(f1201,plain,( 18.55/2.79 $less(0,0) | $less(sK4,sK0) | (spl15_5 | ~spl15_8)), 18.55/2.79 inference(superposition,[],[f1135,f321])). 18.55/2.79 tff(f1181,plain,( 18.55/2.79 spl15_36 | spl15_7 | ~spl15_8 | ~spl15_31), 18.55/2.79 inference(avatar_split_clause,[],[f1172,f841,f419,f414,f1178])). 18.55/2.79 tff(f1172,plain,( 18.55/2.79 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK0)) | (spl15_7 | ~spl15_8 | ~spl15_31)), 18.55/2.79 inference(superposition,[],[f1134,f843])). 18.55/2.79 tff(f1134,plain,( 18.55/2.79 ( ! [X12:uni,X11:ty] : ($less(0,occ(X11,get(X11,int,X12,t2tb(sK3)),X12,0,sK0))) ) | (spl15_7 | ~spl15_8)), 18.55/2.79 inference(resolution,[],[f797,f416])). 18.55/2.79 tff(f1005,plain,( 18.55/2.79 spl15_35 | spl15_5 | ~spl15_6 | ~spl15_31), 18.55/2.79 inference(avatar_split_clause,[],[f988,f841,f409,f404,f1002])). 18.55/2.79 tff(f988,plain,( 18.55/2.79 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),sK4,sK2)) | (spl15_5 | ~spl15_6 | ~spl15_31)), 18.55/2.79 inference(superposition,[],[f953,f843])). 18.55/2.79 tff(f953,plain,( 18.55/2.79 ( ! [X8:ty,X9:uni] : ($less(0,occ(X8,get(X8,int,X9,t2tb(sK3)),X9,sK4,sK2))) ) | (spl15_5 | ~spl15_6)), 18.55/2.79 inference(resolution,[],[f796,f406])). 18.55/2.79 tff(f998,plain,( 18.55/2.79 spl15_34 | spl15_5 | ~spl15_6), 18.55/2.79 inference(avatar_split_clause,[],[f990,f409,f404,f995])). 18.55/2.79 tff(f995,plain,( 18.55/2.79 spl15_34 <=> $less(sK4,sK2)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_34])])). 18.55/2.79 tff(f990,plain,( 18.55/2.79 $less(sK4,sK2) | (spl15_5 | ~spl15_6)), 18.55/2.79 inference(evaluation,[],[f989])). 18.55/2.79 tff(f989,plain,( 18.55/2.79 $less(0,0) | $less(sK4,sK2) | (spl15_5 | ~spl15_6)), 18.55/2.79 inference(superposition,[],[f953,f321])). 18.55/2.79 tff(f977,plain,( 18.55/2.79 spl15_33 | ~spl15_6 | spl15_7 | ~spl15_31), 18.55/2.79 inference(avatar_split_clause,[],[f960,f841,f414,f409,f974])). 18.55/2.79 tff(f960,plain,( 18.55/2.79 $less(0,occ(color1,t2tb2(white),t2tb3(sK5),0,sK2)) | (~spl15_6 | spl15_7 | ~spl15_31)), 18.55/2.79 inference(superposition,[],[f952,f843])). 18.55/2.79 tff(f952,plain,( 18.55/2.79 ( ! [X6:ty,X7:uni] : ($less(0,occ(X6,get(X6,int,X7,t2tb(sK3)),X7,0,sK2))) ) | (~spl15_6 | spl15_7)), 18.55/2.79 inference(resolution,[],[f796,f416])). 18.55/2.79 tff(f971,plain,( 18.55/2.79 spl15_32 | ~spl15_6 | spl15_7), 18.55/2.79 inference(avatar_split_clause,[],[f962,f414,f409,f968])). 18.55/2.79 tff(f968,plain,( 18.55/2.79 spl15_32 <=> $less(0,sK2)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_32])])). 18.55/2.79 tff(f962,plain,( 18.55/2.79 $less(0,sK2) | (~spl15_6 | spl15_7)), 18.55/2.79 inference(evaluation,[],[f961])). 18.55/2.79 tff(f961,plain,( 18.55/2.79 $less(0,0) | $less(0,sK2) | (~spl15_6 | spl15_7)), 18.55/2.79 inference(superposition,[],[f952,f321])). 18.55/2.79 tff(f844,plain,( 18.55/2.79 spl15_31 | ~spl15_17), 18.55/2.79 inference(avatar_split_clause,[],[f832,f471,f841])). 18.55/2.79 tff(f471,plain,( 18.55/2.79 spl15_17 <=> white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK3)))), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_17])])). 18.55/2.79 tff(f832,plain,( 18.55/2.79 get(color1,int,t2tb3(sK5),t2tb(sK3)) = t2tb2(white) | ~spl15_17), 18.55/2.79 inference(superposition,[],[f484,f473])). 18.55/2.79 tff(f473,plain,( 18.55/2.79 white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK3))) | ~spl15_17), 18.55/2.79 inference(avatar_component_clause,[],[f471])). 18.55/2.79 tff(f808,plain,( 18.55/2.79 spl15_29 | spl15_30), 18.55/2.79 inference(avatar_split_clause,[],[f779,f806,f803])). 18.55/2.79 tff(f779,plain,( 18.55/2.79 ( ! [X0:ty,X3:$int,X1:uni] : (~$less($sum(X3,$uminus(X3)),0) | $less(X3,X3) | ~sort(X0,X1)) )), 18.55/2.79 inference(superposition,[],[f323,f778])). 18.55/2.79 tff(f699,plain,( 18.55/2.79 spl15_28 | spl15_22 | spl15_5), 18.55/2.79 inference(avatar_split_clause,[],[f693,f404,f641,f696])). 18.55/2.79 tff(f696,plain,( 18.55/2.79 spl15_28 <=> $less(sK4,sK3)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_28])])). 18.55/2.79 tff(f641,plain,( 18.55/2.79 spl15_22 <=> ! [X3 : ty,X5 : uni,X4 : uni] : ~$less(occ(X3,X4,X5,0,0),0)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_22])])). 18.55/2.79 tff(f693,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,0),0) | $less(sK4,sK3)) ) | spl15_5), 18.55/2.79 inference(superposition,[],[f631,f321])). 18.55/2.79 tff(f631,plain,( 18.55/2.79 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,occ(X3,X4,X5,sK4,sK3)),0)) ) | spl15_5), 18.55/2.79 inference(resolution,[],[f620,f322])). 18.55/2.79 tff(f620,plain,( 18.55/2.79 ( ! [X17:uni,X15:ty,X16:uni] : (~$less(occ(X15,X16,X17,sK4,sK3),0)) ) | spl15_5), 18.55/2.79 inference(resolution,[],[f322,f406])). 18.55/2.79 tff(f686,plain,( 18.55/2.79 spl15_27 | spl15_22 | spl15_3), 18.55/2.79 inference(avatar_split_clause,[],[f680,f394,f641,f683])). 18.55/2.79 tff(f680,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,0),0) | $less(sK2,sK0)) ) | spl15_3), 18.55/2.79 inference(superposition,[],[f627,f321])). 18.55/2.79 tff(f627,plain,( 18.55/2.79 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,occ(X3,X4,X5,sK2,sK0)),0)) ) | spl15_3), 18.55/2.79 inference(resolution,[],[f618,f322])). 18.55/2.79 tff(f618,plain,( 18.55/2.79 ( ! [X10:uni,X11:uni,X9:ty] : (~$less(occ(X9,X10,X11,sK2,sK0),0)) ) | spl15_3), 18.55/2.79 inference(resolution,[],[f322,f396])). 18.55/2.79 tff(f678,plain,( 18.55/2.79 spl15_26 | spl15_22 | spl15_7), 18.55/2.79 inference(avatar_split_clause,[],[f671,f414,f641,f675])). 18.55/2.79 tff(f675,plain,( 18.55/2.79 spl15_26 <=> $less(0,sK3)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_26])])). 18.55/2.79 tff(f671,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,0),0) | $less(0,sK3)) ) | spl15_7), 18.55/2.79 inference(superposition,[],[f625,f321])). 18.55/2.79 tff(f625,plain,( 18.55/2.79 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,occ(X3,X4,X5,0,sK3)),0)) ) | spl15_7), 18.55/2.79 inference(resolution,[],[f617,f322])). 18.55/2.79 tff(f617,plain,( 18.55/2.79 ( ! [X6:ty,X8:uni,X7:uni] : (~$less(occ(X6,X7,X8,0,sK3),0)) ) | spl15_7), 18.55/2.79 inference(resolution,[],[f322,f416])). 18.55/2.79 tff(f667,plain,( 18.55/2.79 spl15_25 | spl15_22 | spl15_2), 18.55/2.79 inference(avatar_split_clause,[],[f660,f389,f641,f664])). 18.55/2.79 tff(f660,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,0),0) | $less(0,sK4)) ) | spl15_2), 18.55/2.79 inference(superposition,[],[f623,f321])). 18.55/2.79 tff(f623,plain,( 18.55/2.79 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,occ(X3,X4,X5,0,sK4)),0)) ) | spl15_2), 18.55/2.79 inference(resolution,[],[f616,f322])). 18.55/2.79 tff(f616,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,sK4),0)) ) | spl15_2), 18.55/2.79 inference(resolution,[],[f322,f391])). 18.55/2.79 tff(f657,plain,( 18.55/2.79 spl15_24 | spl15_18), 18.55/2.79 inference(avatar_split_clause,[],[f652,f476,f654])). 18.55/2.79 tff(f654,plain,( 18.55/2.79 spl15_24 <=> $less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK6)), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_24])])). 18.55/2.79 tff(f652,plain,( 18.55/2.79 $less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK6) | spl15_18), 18.55/2.79 inference(resolution,[],[f312,f478])). 18.55/2.79 tff(f312,plain,( 18.55/2.79 ( ! [X2:$int,X0:array_color,X3:color,X1:$int] : (monochrome(X0,X1,X2,X3) | $less(sK7(X0,X1,X2,X3),X2)) )), 18.55/2.79 inference(cnf_transformation,[],[f224])). 18.55/2.79 tff(f649,plain,( 18.55/2.79 ~spl15_23 | spl15_18), 18.55/2.79 inference(avatar_split_clause,[],[f644,f476,f646])). 18.55/2.79 tff(f644,plain,( 18.55/2.79 ~$less(sK7(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white),sK4) | spl15_18), 18.55/2.79 inference(resolution,[],[f311,f478])). 18.55/2.79 tff(f311,plain,( 18.55/2.79 ( ! [X2:$int,X0:array_color,X3:color,X1:$int] : (monochrome(X0,X1,X2,X3) | ~$less(sK7(X0,X1,X2,X3),X1)) )), 18.55/2.79 inference(cnf_transformation,[],[f224])). 18.55/2.79 tff(f643,plain,( 18.55/2.79 spl15_21 | spl15_22 | spl15_1), 18.55/2.79 inference(avatar_split_clause,[],[f634,f384,f641,f637])). 18.55/2.79 tff(f634,plain,( 18.55/2.79 ( ! [X4:uni,X5:uni,X3:ty] : (~$less(occ(X3,X4,X5,0,0),0) | $less(0,sK0)) ) | spl15_1), 18.55/2.79 inference(superposition,[],[f621,f321])). 18.55/2.79 tff(f621,plain,( 18.55/2.79 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,occ(X3,X4,X5,0,sK0)),0)) ) | spl15_1), 18.55/2.79 inference(resolution,[],[f615,f322])). 18.55/2.79 tff(f615,plain,( 18.55/2.79 ( ! [X2:uni,X0:ty,X1:uni] : (~$less(occ(X0,X1,X2,0,sK0),0)) ) | spl15_1), 18.55/2.79 inference(resolution,[],[f322,f386])). 18.55/2.79 tff(f509,plain,( 18.55/2.79 spl15_20), 18.55/2.79 inference(avatar_split_clause,[],[f251,f506])). 18.55/2.79 tff(f251,plain,( 18.55/2.79 permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(sK5)))), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f220,plain,( 18.55/2.79 ((~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white) & $sum(sK3,1) = sK6) & white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK3))) & ~$less(sK0,0) & $less(sK3,sK0) & ~$less(sK3,0) & $less(sK3,sK2) & ~$less(sK3,sK4) & ~$less(sK2,sK3) & ~$less(sK0,sK2) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK3,white) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK2,sK0,red) & permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(sK5))) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),0,sK4,blue) & ~$less(sK4,0)) & ~$less(sK0,0)), 18.55/2.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f162,f219,f218,f217])). 18.55/2.79 tff(f217,plain,( 18.55/2.79 ? [X0 : $int,X1 : map_int_color] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : map_int_color] : (? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X6,white) & $sum(X3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3))) & ~$less(X0,0) & $less(X3,X0) & ~$less(X3,0) & $less(X3,X2) & ~$less(X3,X4) & ~$less(X2,X3) & ~$less(X0,X2) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X2,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X1)),mk_array(color1,X0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0)) & ~$less(X0,0)) => (? [X5 : map_int_color,X4 : $int,X3 : $int,X2 : $int] : (? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X4,X6,white) & $sum(X3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3))) & ~$less(sK0,0) & $less(X3,sK0) & ~$less(X3,0) & $less(X3,X2) & ~$less(X3,X4) & ~$less(X2,X3) & ~$less(sK0,X2) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X2,sK0,red) & permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0)) & ~$less(sK0,0))), 18.55/2.79 introduced(choice_axiom,[])). 18.55/2.79 tff(f218,plain,( 18.55/2.79 ? [X5 : map_int_color,X4 : $int,X3 : $int,X2 : $int] : (? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X4,X6,white) & $sum(X3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3))) & ~$less(sK0,0) & $less(X3,sK0) & ~$less(X3,0) & $less(X3,X2) & ~$less(X3,X4) & ~$less(X2,X3) & ~$less(sK0,X2) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),X2,sK0,red) & permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0)) => (? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,X6,white) & $sum(sK3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK3))) & ~$less(sK0,0) & $less(sK3,sK0) & ~$less(sK3,0) & $less(sK3,sK2) & ~$less(sK3,sK4) & ~$less(sK2,sK3) & ~$less(sK0,sK2) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK3,white) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK2,sK0,red) & permut_all(color1,mk_array(color1,sK0,t2tb3(sK1)),mk_array(color1,sK0,t2tb3(sK5))) & monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),0,sK4,blue) & ~$less(sK4,0))), 18.55/2.79 introduced(choice_axiom,[])). 18.55/2.79 tff(f219,plain,( 18.55/2.79 ? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,X6,white) & $sum(sK3,1) = X6) => (~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white) & $sum(sK3,1) = sK6)), 18.55/2.79 introduced(choice_axiom,[])). 18.55/2.79 tff(f162,plain,( 18.55/2.79 ? [X0 : $int,X1 : map_int_color] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : map_int_color] : (? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X6,white) & $sum(X3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3))) & ~$less(X0,0) & $less(X3,X0) & ~$less(X3,0) & $less(X3,X2) & ~$less(X3,X4) & ~$less(X2,X3) & ~$less(X0,X2) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X2,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X1)),mk_array(color1,X0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0)) & ~$less(X0,0))), 18.55/2.79 inference(flattening,[],[f161])). 18.55/2.79 tff(f161,plain,( 18.55/2.79 ? [X0 : $int,X1 : map_int_color] : (? [X2 : $int,X3 : $int,X4 : $int,X5 : map_int_color] : ((((? [X6 : $int] : (~monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X6,white) & $sum(X3,1) = X6) & white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3)))) & (~$less(X0,0) & $less(X3,X0) & ~$less(X3,0))) & $less(X3,X2)) & (~$less(X3,X4) & ~$less(X2,X3) & ~$less(X0,X2) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X2,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X1)),mk_array(color1,X0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0))) & ~$less(X0,0))), 18.55/2.79 inference(ennf_transformation,[],[f97])). 18.55/2.79 tff(f97,plain,( 18.55/2.79 ~! [X0 : $int,X1 : map_int_color] : (~$less(X0,0) => ! [X2 : $int,X3 : $int,X4 : $int,X5 : map_int_color] : ((~$less(X3,X4) & ~$less(X2,X3) & ~$less(X0,X2) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X3,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X2,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X1)),mk_array(color1,X0,t2tb3(X5))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),0,X4,blue) & ~$less(X4,0)) => ($less(X3,X2) => ((~$less(X0,0) & $less(X3,X0) & ~$less(X3,0)) => (white = tb2t2(get(color1,int,t2tb3(X5),t2tb(X3))) => ! [X6 : $int] : ($sum(X3,1) = X6 => monochrome(tb2t1(mk_array(color1,X0,t2tb3(X5))),X4,X6,white)))))))), 18.55/2.79 inference(rectify,[],[f77])). 18.55/2.79 tff(f77,plain,( 18.55/2.79 ~! [X0 : $int,X17 : map_int_color] : (~$less(X0,0) => ! [X19 : $int,X9 : $int,X20 : $int,X18 : map_int_color] : ((~$less(X9,X20) & ~$less(X19,X9) & ~$less(X0,X19) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X9,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X19,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X17)),mk_array(color1,X0,t2tb3(X18))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),0,X20,blue) & ~$less(X20,0)) => ($less(X9,X19) => ((~$less(X0,0) & $less(X9,X0) & ~$less(X9,0)) => (white = tb2t2(get(color1,int,t2tb3(X18),t2tb(X9))) => ! [X21 : $int] : ($sum(X9,1) = X21 => monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X21,white)))))))), 18.55/2.79 inference(theory_normalization,[],[f23])). 18.55/2.79 tff(f23,negated_conjecture,( 18.55/2.79 ~! [X0 : $int,X17 : map_int_color] : ($lesseq(0,X0) => ! [X19 : $int,X9 : $int,X20 : $int,X18 : map_int_color] : (($lesseq(X20,X9) & $lesseq(X9,X19) & $lesseq(X19,X0) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X9,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X19,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X17)),mk_array(color1,X0,t2tb3(X18))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),0,X20,blue) & $lesseq(0,X20)) => ($less(X9,X19) => (($lesseq(0,X0) & $less(X9,X0) & $lesseq(0,X9)) => (white = tb2t2(get(color1,int,t2tb3(X18),t2tb(X9))) => ! [X21 : $int] : ($sum(X9,1) = X21 => monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X21,white)))))))), 18.55/2.79 inference(negated_conjecture,[],[f22])). 18.55/2.79 tff(f22,conjecture,( 18.55/2.79 ! [X0 : $int,X17 : map_int_color] : ($lesseq(0,X0) => ! [X19 : $int,X9 : $int,X20 : $int,X18 : map_int_color] : (($lesseq(X20,X9) & $lesseq(X9,X19) & $lesseq(X19,X0) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X9,white) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X19,X0,red) & permut_all(color1,mk_array(color1,X0,t2tb3(X17)),mk_array(color1,X0,t2tb3(X18))) & monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),0,X20,blue) & $lesseq(0,X20)) => ($less(X9,X19) => (($lesseq(0,X0) & $less(X9,X0) & $lesseq(0,X9)) => (white = tb2t2(get(color1,int,t2tb3(X18),t2tb(X9))) => ! [X21 : $int] : ($sum(X9,1) = X21 => monochrome(tb2t1(mk_array(color1,X0,t2tb3(X18))),X20,X21,white)))))))), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_dutch_flag)). 18.55/2.79 tff(f489,plain,( 18.55/2.79 spl15_19), 18.55/2.79 inference(avatar_split_clause,[],[f481,f486])). 18.55/2.79 tff(f481,plain,( 18.55/2.79 witness(color1) = t2tb2(tb2t2(witness(color1)))), 18.55/2.79 inference(resolution,[],[f282,f269])). 18.55/2.79 tff(f479,plain,( 18.55/2.79 ~spl15_18), 18.55/2.79 inference(avatar_split_clause,[],[f263,f476])). 18.55/2.79 tff(f263,plain,( 18.55/2.79 ~monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK6,white)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f474,plain,( 18.55/2.79 spl15_17), 18.55/2.79 inference(avatar_split_clause,[],[f261,f471])). 18.55/2.79 tff(f261,plain,( 18.55/2.79 white = tb2t2(get(color1,int,t2tb3(sK5),t2tb(sK3)))), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f469,plain,( 18.55/2.79 spl15_16), 18.55/2.79 inference(avatar_split_clause,[],[f253,f466])). 18.55/2.79 tff(f253,plain,( 18.55/2.79 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK4,sK3,white)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f464,plain,( 18.55/2.79 spl15_15), 18.55/2.79 inference(avatar_split_clause,[],[f252,f461])). 18.55/2.79 tff(f252,plain,( 18.55/2.79 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),sK2,sK0,red)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f459,plain,( 18.55/2.79 spl15_14), 18.55/2.79 inference(avatar_split_clause,[],[f250,f456])). 18.55/2.79 tff(f250,plain,( 18.55/2.79 monochrome(tb2t1(mk_array(color1,sK0,t2tb3(sK5))),0,sK4,blue)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f449,plain,( 18.55/2.79 spl15_13), 18.55/2.79 inference(avatar_split_clause,[],[f262,f446])). 18.55/2.79 tff(f446,plain,( 18.55/2.79 spl15_13 <=> $sum(sK3,1) = sK6), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_13])])). 18.55/2.79 tff(f262,plain,( 18.55/2.79 $sum(sK3,1) = sK6), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f443,plain,( 18.55/2.79 ~spl15_12), 18.55/2.79 inference(avatar_split_clause,[],[f267,f440])). 18.55/2.79 tff(f440,plain,( 18.55/2.79 spl15_12 <=> blue = white), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_12])])). 18.55/2.79 tff(f267,plain,( 18.55/2.79 blue != white), 18.55/2.79 inference(cnf_transformation,[],[f49])). 18.55/2.79 tff(f49,axiom,( 18.55/2.79 blue != white), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',blue_White)). 18.55/2.79 tff(f438,plain,( 18.55/2.79 ~spl15_11), 18.55/2.79 inference(avatar_split_clause,[],[f266,f435])). 18.55/2.79 tff(f435,plain,( 18.55/2.79 spl15_11 <=> red = white), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_11])])). 18.55/2.79 tff(f266,plain,( 18.55/2.79 red != white), 18.55/2.79 inference(cnf_transformation,[],[f25])). 18.55/2.79 tff(f25,axiom,( 18.55/2.79 red != white), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',white_Red)). 18.55/2.79 tff(f433,plain,( 18.55/2.79 ~spl15_10), 18.55/2.79 inference(avatar_split_clause,[],[f265,f430])). 18.55/2.79 tff(f430,plain,( 18.55/2.79 spl15_10 <=> red = blue), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_10])])). 18.55/2.79 tff(f265,plain,( 18.55/2.79 red != blue), 18.55/2.79 inference(cnf_transformation,[],[f6])). 18.55/2.79 tff(f6,axiom,( 18.55/2.79 red != blue), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',blue_Red)). 18.55/2.79 tff(f428,plain,( 18.55/2.79 ~spl15_9), 18.55/2.79 inference(avatar_split_clause,[],[f264,f425])). 18.55/2.79 tff(f425,plain,( 18.55/2.79 spl15_9 <=> true = false), 18.55/2.79 introduced(avatar_definition,[new_symbols(naming,[spl15_9])])). 18.55/2.79 tff(f264,plain,( 18.55/2.79 true != false), 18.55/2.79 inference(cnf_transformation,[],[f50])). 18.55/2.79 tff(f50,axiom,( 18.55/2.79 true != false), 18.55/2.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 18.55/2.79 tff(f423,plain,( 18.55/2.79 ~spl15_1), 18.55/2.79 inference(avatar_split_clause,[],[f260,f384])). 18.55/2.79 tff(f260,plain,( 18.55/2.79 ~$less(sK0,0)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f422,plain,( 18.55/2.79 spl15_8), 18.55/2.79 inference(avatar_split_clause,[],[f259,f419])). 18.55/2.79 tff(f259,plain,( 18.55/2.79 $less(sK3,sK0)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f417,plain,( 18.55/2.79 ~spl15_7), 18.55/2.79 inference(avatar_split_clause,[],[f258,f414])). 18.55/2.79 tff(f258,plain,( 18.55/2.79 ~$less(sK3,0)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f412,plain,( 18.55/2.79 spl15_6), 18.55/2.79 inference(avatar_split_clause,[],[f257,f409])). 18.55/2.79 tff(f257,plain,( 18.55/2.79 $less(sK3,sK2)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f407,plain,( 18.55/2.79 ~spl15_5), 18.55/2.79 inference(avatar_split_clause,[],[f256,f404])). 18.55/2.79 tff(f256,plain,( 18.55/2.79 ~$less(sK3,sK4)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f402,plain,( 18.55/2.79 ~spl15_4), 18.55/2.79 inference(avatar_split_clause,[],[f255,f399])). 18.55/2.79 tff(f255,plain,( 18.55/2.79 ~$less(sK2,sK3)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f397,plain,( 18.55/2.79 ~spl15_3), 18.55/2.79 inference(avatar_split_clause,[],[f254,f394])). 18.55/2.79 tff(f254,plain,( 18.55/2.79 ~$less(sK0,sK2)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f392,plain,( 18.55/2.79 ~spl15_2), 18.55/2.79 inference(avatar_split_clause,[],[f249,f389])). 18.55/2.79 tff(f249,plain,( 18.55/2.79 ~$less(sK4,0)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 tff(f387,plain,( 18.55/2.79 ~spl15_1), 18.55/2.79 inference(avatar_split_clause,[],[f248,f384])). 18.55/2.79 tff(f248,plain,( 18.55/2.79 ~$less(sK0,0)), 18.55/2.79 inference(cnf_transformation,[],[f220])). 18.55/2.79 % SZS output end Proof for theBenchmark 18.55/2.79 % (22007)------------------------------ 18.55/2.79 % (22007)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 18.55/2.79 % (22007)Termination reason: Refutation 18.55/2.79 18.55/2.79 % (22007)Memory used [KB]: 26993 18.55/2.79 % (22007)Time elapsed: 2.348 s 18.55/2.79 % (22007)------------------------------ 18.55/2.79 % (22007)------------------------------ 18.55/2.79 % (21984)Success in time 2.412 s 18.55/2.80 EOF