0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.13/0.33 % Computer : n014.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 06:38:55 EDT 2020 0.13/0.33 % CPUTime : 0.19/0.50 % (27776)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.19/0.52 % (27768)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 0.19/0.52 % (27790)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 0.19/0.52 % (27771)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 0.19/0.52 % (27770)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 0.19/0.52 % (27780)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 0.19/0.53 % (27782)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 0.19/0.53 % (27767)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 0.19/0.53 % (27784)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 0.19/0.53 % (27778)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 0.19/0.53 % (27772)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 0.19/0.53 % (27774)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.19/0.54 % (27783)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 0.19/0.54 % (27773)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 0.19/0.54 % (27788)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 0.19/0.54 % (27769)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 0.19/0.54 % (27787)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 0.19/0.54 % (27777)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 0.19/0.54 % (27792)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 0.19/0.54 % (27785)WARNING: option uwaf not known. 0.19/0.55 % (27781)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 0.19/0.55 % (27785)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 0.19/0.55 % (27794)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 0.19/0.55 % (27793)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 0.19/0.55 % (27796)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 0.19/0.55 % (27795)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 0.19/0.55 % (27779)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 0.19/0.56 % (27786)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.19/0.56 % (27789)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 0.19/0.56 % (27791)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 0.19/0.56 % (27775)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 3.81/0.92 % (27788)Time limit reached! 3.81/0.92 % (27788)------------------------------ 3.81/0.92 % (27788)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.81/0.93 % (27777)Time limit reached! 3.81/0.93 % (27777)------------------------------ 3.81/0.93 % (27777)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.81/0.93 % (27796)Time limit reached! 3.81/0.93 % (27796)------------------------------ 3.81/0.93 % (27796)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.81/0.93 % (27796)Termination reason: Time limit 3.81/0.93 % (27796)Termination phase: Saturation 3.81/0.93 3.81/0.93 % (27796)Memory used [KB]: 12153 3.81/0.93 % (27796)Time elapsed: 0.526 s 3.81/0.93 % (27796)------------------------------ 3.81/0.93 % (27796)------------------------------ 3.81/0.93 % (27788)Termination reason: Time limit 3.81/0.93 3.81/0.93 % (27788)Memory used [KB]: 15095 3.81/0.93 % (27788)Time elapsed: 0.511 s 3.81/0.93 % (27788)------------------------------ 3.81/0.93 % (27788)------------------------------ 3.81/0.94 % (27777)Termination reason: Time limit 3.81/0.94 3.81/0.94 % (27777)Memory used [KB]: 6396 3.81/0.94 % (27777)Time elapsed: 0.510 s 3.81/0.94 % (27777)------------------------------ 3.81/0.94 % (27777)------------------------------ 4.86/1.03 % (27773)Time limit reached! 4.86/1.03 % (27773)------------------------------ 4.86/1.03 % (27773)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.86/1.03 % (27783)Time limit reached! 4.86/1.03 % (27783)------------------------------ 4.86/1.03 % (27783)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.86/1.03 % (27783)Termination reason: Time limit 4.86/1.03 4.86/1.03 % (27783)Memory used [KB]: 8315 4.86/1.03 % (27783)Time elapsed: 0.615 s 4.86/1.03 % (27783)------------------------------ 4.86/1.03 % (27783)------------------------------ 5.14/1.03 % (27773)Termination reason: Time limit 5.14/1.03 5.14/1.03 % (27773)Memory used [KB]: 9466 5.14/1.03 % (27773)Time elapsed: 0.613 s 5.14/1.03 % (27773)------------------------------ 5.14/1.03 % (27773)------------------------------ 5.14/1.04 % (27793)Time limit reached! 5.14/1.04 % (27793)------------------------------ 5.14/1.04 % (27793)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.14/1.04 % (27793)Termination reason: Time limit 5.14/1.04 5.14/1.04 % (27793)Memory used [KB]: 15991 5.14/1.04 % (27793)Time elapsed: 0.625 s 5.14/1.04 % (27793)------------------------------ 5.14/1.04 % (27793)------------------------------ 5.14/1.07 % (27993)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 5.14/1.07 % (27997)WARNING: option uwaf not known. 5.14/1.08 % (27995)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 5.14/1.08 % (27997)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 5.64/1.16 % (28036)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 5.64/1.16 % (28038)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 6.33/1.18 % (28039)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 6.33/1.23 % (27794)Time limit reached! 6.33/1.23 % (27794)------------------------------ 6.33/1.23 % (27794)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.33/1.23 % (27794)Termination reason: Time limit 6.33/1.23 % (27794)Termination phase: Saturation 6.33/1.23 6.33/1.23 % (27794)Memory used [KB]: 12792 6.33/1.23 % (27794)Time elapsed: 0.800 s 6.33/1.23 % (27794)------------------------------ 6.33/1.23 % (27794)------------------------------ 7.37/1.32 % (27779)Time limit reached! 7.37/1.32 % (27779)------------------------------ 7.37/1.32 % (27779)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.55/1.34 % (27787)Time limit reached! 7.55/1.34 % (27787)------------------------------ 7.55/1.34 % (27787)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.55/1.34 % (27787)Termination reason: Time limit 7.55/1.34 7.55/1.34 % (27787)Memory used [KB]: 7675 7.55/1.34 % (27787)Time elapsed: 0.924 s 7.55/1.34 % (27787)------------------------------ 7.55/1.34 % (27787)------------------------------ 7.55/1.34 % (27779)Termination reason: Time limit 7.55/1.34 7.55/1.34 % (27779)Memory used [KB]: 10362 7.55/1.34 % (27779)Time elapsed: 0.907 s 7.55/1.34 % (27779)------------------------------ 7.55/1.34 % (27779)------------------------------ 7.55/1.39 % (28040)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 8.26/1.45 % (27780)Time limit reached! 8.26/1.45 % (27780)------------------------------ 8.26/1.45 % (27780)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.26/1.45 % (27780)Termination reason: Time limit 8.26/1.45 8.26/1.45 % (27780)Memory used [KB]: 6524 8.26/1.45 % (27780)Time elapsed: 1.022 s 8.26/1.45 % (27780)------------------------------ 8.26/1.45 % (27780)------------------------------ 8.26/1.49 % (27782)Time limit reached! 8.26/1.49 % (27782)------------------------------ 8.26/1.49 % (27782)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 8.26/1.49 % (27782)Termination reason: Time limit 8.26/1.49 8.26/1.49 % (27782)Memory used [KB]: 10362 8.26/1.49 % (27782)Time elapsed: 1.041 s 8.26/1.49 % (27782)------------------------------ 8.26/1.49 % (27782)------------------------------ 9.49/1.58 % (27774)Time limit reached! 9.49/1.58 % (27774)------------------------------ 9.49/1.58 % (27774)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.49/1.58 % (27774)Termination reason: Time limit 9.49/1.58 % (27774)Termination phase: Saturation 9.49/1.58 9.49/1.58 % (27774)Memory used [KB]: 10234 9.49/1.58 % (27774)Time elapsed: 1.100 s 9.49/1.58 % (27774)------------------------------ 9.49/1.58 % (27774)------------------------------ 10.57/1.75 % (27781)Time limit reached! 10.57/1.75 % (27781)------------------------------ 10.57/1.75 % (27781)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.57/1.75 % (27781)Termination reason: Time limit 10.57/1.75 10.57/1.75 % (27781)Memory used [KB]: 18293 10.57/1.75 % (27781)Time elapsed: 1.317 s 10.57/1.75 % (27781)------------------------------ 10.57/1.75 % (27781)------------------------------ 10.57/1.76 % (27790)Time limit reached! 10.57/1.76 % (27790)------------------------------ 10.57/1.76 % (27790)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.57/1.77 % (27995)Time limit reached! 10.57/1.77 % (27995)------------------------------ 10.57/1.77 % (27995)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 10.57/1.77 % (27790)Termination reason: Time limit 10.57/1.77 % (27790)Termination phase: Saturation 10.57/1.77 10.57/1.77 % (27790)Memory used [KB]: 9722 10.57/1.77 % (27790)Time elapsed: 1.300 s 10.57/1.77 % (27790)------------------------------ 10.57/1.77 % (27790)------------------------------ 10.57/1.77 % (27995)Termination reason: Time limit 10.57/1.77 % (27995)Termination phase: Saturation 10.57/1.77 10.57/1.77 % (27995)Memory used [KB]: 9083 10.57/1.77 % (27995)Time elapsed: 0.800 s 10.57/1.77 % (27995)------------------------------ 10.57/1.77 % (27995)------------------------------ 13.08/2.02 % (27778)Time limit reached! 13.08/2.02 % (27778)------------------------------ 13.08/2.02 % (27778)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.08/2.02 % (27778)Termination reason: Time limit 13.08/2.02 13.08/2.02 % (27778)Memory used [KB]: 17526 13.08/2.02 % (27778)Time elapsed: 1.603 s 13.08/2.02 % (27778)------------------------------ 13.08/2.02 % (27778)------------------------------ 13.69/2.12 % (28038)Time limit reached! 13.69/2.12 % (28038)------------------------------ 13.69/2.12 % (28038)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.69/2.12 % (28038)Termination reason: Time limit 13.69/2.12 13.69/2.12 % (28038)Memory used [KB]: 15607 13.69/2.12 % (28038)Time elapsed: 1.019 s 13.69/2.12 % (28038)------------------------------ 13.69/2.12 % (28038)------------------------------ 13.69/2.13 % (27775)Time limit reached! 13.69/2.13 % (27775)------------------------------ 13.69/2.13 % (27775)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 13.69/2.13 % (27775)Termination reason: Time limit 13.69/2.13 13.69/2.13 % (27775)Memory used [KB]: 8315 13.69/2.13 % (27775)Time elapsed: 1.715 s 13.69/2.13 % (27775)------------------------------ 13.69/2.13 % (27775)------------------------------ 14.75/2.22 % (27772)Time limit reached! 14.75/2.22 % (27772)------------------------------ 14.75/2.22 % (27772)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.75/2.22 % (27772)Termination reason: Time limit 14.75/2.22 14.75/2.22 % (27772)Memory used [KB]: 16502 14.75/2.22 % (27772)Time elapsed: 1.809 s 14.75/2.22 % (27772)------------------------------ 14.75/2.22 % (27772)------------------------------ 15.57/2.34 % (27767)Refutation found. Thanks to Tanya! 15.57/2.34 % SZS status Theorem for theBenchmark 15.57/2.34 % SZS output start Proof for theBenchmark 15.57/2.36 tff(type_def_5, type, uni: $tType). 15.57/2.36 tff(type_def_6, type, ty: $tType). 15.57/2.36 tff(type_def_7, type, bool: $tType). 15.57/2.36 tff(type_def_8, type, tuple0: $tType). 15.57/2.36 tff(type_def_9, type, elt: $tType). 15.57/2.36 tff(type_def_10, type, list_elt: $tType). 15.57/2.36 tff(func_def_0, type, witness: ty > uni). 15.57/2.36 tff(func_def_1, type, int: ty). 15.57/2.36 tff(func_def_2, type, real: ty). 15.57/2.36 tff(func_def_3, type, bool1: ty). 15.57/2.36 tff(func_def_4, type, true: bool). 15.57/2.36 tff(func_def_5, type, false: bool). 15.57/2.36 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 15.57/2.36 tff(func_def_7, type, tuple01: ty). 15.57/2.36 tff(func_def_8, type, tuple02: tuple0). 15.57/2.36 tff(func_def_9, type, qtmark: ty). 15.57/2.36 tff(func_def_10, type, list: ty > ty). 15.57/2.36 tff(func_def_11, type, nil: ty > uni). 15.57/2.36 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 15.57/2.36 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 15.57/2.36 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 15.57/2.36 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 15.57/2.36 tff(func_def_16, type, length: (ty * uni) > $int). 15.57/2.36 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 15.57/2.36 tff(func_def_18, type, num_occ: (ty * uni * uni) > $int). 15.57/2.36 tff(func_def_19, type, reverse: (ty * uni) > uni). 15.57/2.36 tff(func_def_20, type, elt1: ty). 15.57/2.36 tff(func_def_21, type, t2tb: list_elt > uni). 15.57/2.36 tff(func_def_22, type, tb2t: uni > list_elt). 15.57/2.36 tff(func_def_23, type, t2tb1: elt > uni). 15.57/2.36 tff(func_def_24, type, tb2t1: uni > elt). 15.57/2.36 tff(func_def_25, type, rev_append: (ty * uni * uni) > uni). 15.57/2.36 tff(func_def_26, type, prefix: (ty * $int * uni) > uni). 15.57/2.36 tff(func_def_27, type, abs: $int > $int). 15.57/2.36 tff(func_def_28, type, div: ($int * $int) > $int). 15.57/2.36 tff(func_def_29, type, mod: ($int * $int) > $int). 15.57/2.36 tff(func_def_36, type, sK0: elt). 15.57/2.36 tff(func_def_37, type, sK1: list_elt). 15.57/2.36 tff(func_def_38, type, sK2: list_elt > elt). 15.57/2.36 tff(func_def_39, type, sK3: list_elt > elt). 15.57/2.36 tff(func_def_40, type, sK4: list_elt > elt). 15.57/2.36 tff(func_def_41, type, sK5: list_elt > list_elt). 15.57/2.36 tff(func_def_42, type, sK6: (list_elt * list_elt) > elt). 15.57/2.36 tff(func_def_43, type, sK7: (list_elt * list_elt) > elt). 15.57/2.36 tff(func_def_44, type, sK8: (list_elt * elt) > elt). 15.57/2.36 tff(func_def_45, type, sK9: (list_elt * list_elt) > elt). 15.57/2.36 tff(func_def_46, type, sK10: (list_elt * list_elt) > elt). 15.57/2.36 tff(func_def_47, type, sK11: (elt * list_elt) > elt). 15.57/2.36 tff(func_def_48, type, sK12: (ty * uni * uni) > uni). 15.57/2.36 tff(func_def_49, type, sK13: (ty * uni * uni) > uni). 15.57/2.36 tff(func_def_50, type, sK14: (ty * uni * uni) > uni). 15.57/2.36 tff(pred_def_1, type, sort: (ty * uni) > $o). 15.57/2.36 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 15.57/2.36 tff(pred_def_3, type, permut: (ty * uni * uni) > $o). 15.57/2.36 tff(pred_def_4, type, le: (elt * elt) > $o). 15.57/2.36 tff(pred_def_5, type, sorted: list_elt > $o). 15.57/2.36 tff(f14398,plain,( 15.57/2.36 $false), 15.57/2.36 inference(avatar_sat_refutation,[],[f481,f485,f489,f493,f506,f511,f516,f556,f617,f625,f639,f655,f697,f838,f844,f848,f959,f1181,f1182,f1194,f1826,f1833,f1847,f1851,f2001,f2005,f2009,f2078,f2114,f2118,f2752,f2963,f2968,f2973,f2978,f2983,f2988,f3062,f3097,f3102,f3220,f3222,f3223,f3232,f3233,f3260,f3288,f3306,f3395,f3636,f3640,f3653,f3657,f3693,f3697,f3706,f3710,f3760,f3767,f3768,f3808,f3860,f3924,f4224,f4228,f4232,f4236,f4246,f4253,f4254,f4288,f4292,f5613,f5748,f5752,f5756,f7174,f7289,f7293,f7297,f7301,f7339,f7343,f7347,f7349,f7351,f7355,f7374,f7376,f8396,f8397,f8496,f8924,f11494,f12270,f12274,f12278,f12282,f12286,f12290,f13150,f13154,f14337,f14341,f14345,f14349,f14353,f14359,f14363,f14367,f14388,f14395,f14397])). 15.57/2.36 tff(f14397,plain,( 15.57/2.36 ~spl15_3 | spl15_107), 15.57/2.36 inference(avatar_split_clause,[],[f14391,f14335,f483])). 15.57/2.36 tff(f483,plain,( 15.57/2.36 spl15_3 <=> permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_3])])). 15.57/2.36 tff(f14335,plain,( 15.57/2.36 spl15_107 <=> permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_107])])). 15.57/2.36 tff(f14391,plain,( 15.57/2.36 ~permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) | spl15_107), 15.57/2.36 inference(resolution,[],[f14336,f458])). 15.57/2.36 tff(f458,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)) | ~permut(X0,X2,X3)) )), 15.57/2.36 inference(cnf_transformation,[],[f288])). 15.57/2.36 tff(f288,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)) | ~permut(X0,X2,X3))), 15.57/2.36 inference(ennf_transformation,[],[f227])). 15.57/2.36 tff(f227,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (permut(X0,X2,X3) => permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)))), 15.57/2.36 inference(rectify,[],[f25])). 15.57/2.36 tff(f25,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni,X11 : uni,X12 : uni] : (permut(X0,X11,X12) => permut(X0,cons(X0,X6,X11),cons(X0,X6,X12)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_cons)). 15.57/2.36 tff(f14336,plain,( 15.57/2.36 ~permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_107), 15.57/2.36 inference(avatar_component_clause,[],[f14335])). 15.57/2.36 tff(f14395,plain,( 15.57/2.36 ~spl15_11 | spl15_107), 15.57/2.36 inference(avatar_split_clause,[],[f14390,f14335,f637])). 15.57/2.36 tff(f637,plain,( 15.57/2.36 spl15_11 <=> permut(elt1,t2tb(sK1),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_11])])). 15.57/2.36 tff(f14390,plain,( 15.57/2.36 ~permut(elt1,t2tb(sK1),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | spl15_107), 15.57/2.36 inference(resolution,[],[f14336,f1456])). 15.57/2.36 tff(f1456,plain,( 15.57/2.36 ( ! [X21:uni,X19:ty,X22:uni,X20:uni] : (permut(X19,cons(X19,X22,X21),cons(X19,X22,X20)) | ~permut(X19,X20,X21)) )), 15.57/2.36 inference(resolution,[],[f458,f438])). 15.57/2.36 tff(f438,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (~permut(X0,X1,X2) | permut(X0,X2,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f278])). 15.57/2.36 tff(f278,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : (permut(X0,X2,X1) | ~permut(X0,X1,X2))), 15.57/2.36 inference(ennf_transformation,[],[f210])). 15.57/2.36 tff(f210,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : (permut(X0,X1,X2) => permut(X0,X2,X1))), 15.57/2.36 inference(rectify,[],[f24])). 15.57/2.36 tff(f24,axiom,( 15.57/2.36 ! [X0 : ty,X11 : uni,X12 : uni] : (permut(X0,X11,X12) => permut(X0,X12,X11))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_sym)). 15.57/2.36 tff(f14388,plain,( 15.57/2.36 spl15_22 | spl15_111 | spl15_7 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f14387,f637,f509,f14351,f1824])). 15.57/2.36 tff(f1824,plain,( 15.57/2.36 spl15_22 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_22])])). 15.57/2.36 tff(f14351,plain,( 15.57/2.36 spl15_111 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_111])])). 15.57/2.36 tff(f509,plain,( 15.57/2.36 spl15_7 <=> permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_7])])). 15.57/2.36 tff(f14387,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),t2tb(sK1))) | (spl15_7 | ~spl15_11)), 15.57/2.36 inference(forward_demodulation,[],[f3234,f14306])). 15.57/2.36 tff(f14306,plain,( 15.57/2.36 ( ! [X66:uni,X64:ty,X67:uni,X65:uni,X63:ty] : (cons(X63,X66,prefix(X63,length(X64,X65),X67)) = prefix(X63,$sum(1,length(X64,X65)),cons(X63,X66,X67))) )), 15.57/2.36 inference(forward_demodulation,[],[f14268,f121])). 15.57/2.36 tff(f121,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f14268,plain,( 15.57/2.36 ( ! [X66:uni,X64:ty,X67:uni,X65:uni,X63:ty] : (prefix(X63,$sum(length(X64,X65),1),cons(X63,X66,X67)) = cons(X63,X66,prefix(X63,length(X64,X65),X67))) )), 15.57/2.36 inference(resolution,[],[f1956,f359])). 15.57/2.36 tff(f359,plain,( 15.57/2.36 ( ! [X0:ty,X1:uni] : (~$less(length(X0,X1),0)) )), 15.57/2.36 inference(cnf_transformation,[],[f158])). 15.57/2.36 tff(f158,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : ~$less(length(X0,X1),0)), 15.57/2.36 inference(rectify,[],[f105])). 15.57/2.36 tff(f105,plain,( 15.57/2.36 ! [X0 : ty,X9 : uni] : ~$less(length(X0,X9),0)), 15.57/2.36 inference(theory_normalization,[],[f10])). 15.57/2.36 tff(f10,axiom,( 15.57/2.36 ! [X0 : ty,X9 : uni] : $lesseq(0,length(X0,X9))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)). 15.57/2.36 tff(f1956,plain,( 15.57/2.36 ( ! [X28:uni,X26:ty,X29:uni,X27:$int] : ($less(X27,0) | prefix(X26,$sum(X27,1),cons(X26,X28,X29)) = cons(X26,X28,prefix(X26,X27,X29))) )), 15.57/2.36 inference(evaluation,[],[f1943])). 15.57/2.36 tff(f1943,plain,( 15.57/2.36 ( ! [X28:uni,X26:ty,X29:uni,X27:$int] : (prefix(X26,$sum(X27,1),cons(X26,X28,X29)) = cons(X26,X28,prefix(X26,$sum($sum(X27,1),-1),X29)) | $less(X27,0)) )), 15.57/2.36 inference(resolution,[],[f472,f130])). 15.57/2.36 tff(f130,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f472,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (~$less(0,X1) | prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,-1),X3))) )), 15.57/2.36 inference(evaluation,[],[f456])). 15.57/2.36 tff(f456,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) | ~$less(0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f286])). 15.57/2.36 tff(f286,plain,( 15.57/2.36 ! [X0 : ty,X1 : $int,X2 : uni,X3 : uni] : (prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) | ~$less(0,X1))), 15.57/2.36 inference(ennf_transformation,[],[f226])). 15.57/2.36 tff(f226,plain,( 15.57/2.36 ! [X0 : ty,X1 : $int,X2 : uni,X3 : uni] : ($less(0,X1) => prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)))), 15.57/2.36 inference(rectify,[],[f119])). 15.57/2.36 tff(f119,plain,( 15.57/2.36 ! [X0 : ty,X22 : $int,X6 : uni,X9 : uni] : ($less(0,X22) => prefix(X0,X22,cons(X0,X6,X9)) = cons(X0,X6,prefix(X0,$sum(X22,$uminus(1)),X9)))), 15.57/2.36 inference(theory_normalization,[],[f68])). 15.57/2.36 tff(f68,axiom,( 15.57/2.36 ! [X0 : ty,X22 : $int,X6 : uni,X9 : uni] : ($less(0,X22) => prefix(X0,X22,cons(X0,X6,X9)) = cons(X0,X6,prefix(X0,$difference(X22,1),X9)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prefix_def2)). 15.57/2.36 tff(f3234,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),t2tb(sK1))) | sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))) | (spl15_7 | ~spl15_11)), 15.57/2.36 inference(resolution,[],[f510,f1718])). 15.57/2.36 tff(f1718,plain,( 15.57/2.36 ( ! [X6:uni,X7:uni] : (permut(elt1,X6,X7) | sort(elt1,sK12(elt1,X7,t2tb(sK1))) | sort(elt1,sK12(elt1,X6,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1710,f427])). 15.57/2.36 tff(f427,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (permut(X0,X1,X2) | sort(X0,sK12(X0,X1,X2))) )), 15.57/2.36 inference(cnf_transformation,[],[f323])). 15.57/2.36 tff(f323,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : ((permut(X0,X1,X2) | (num_occ(X0,sK12(X0,X1,X2),X2) != num_occ(X0,sK12(X0,X1,X2),X1) & sort(X0,sK12(X0,X1,X2)))) & (! [X4 : uni] : num_occ(X0,X4,X2) = num_occ(X0,X4,X1) | ~permut(X0,X1,X2)))), 15.57/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f267,f322])). 15.57/2.36 tff(f322,plain,( 15.57/2.36 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : (num_occ(X0,X3,X2) != num_occ(X0,X3,X1) & sort(X0,X3)) => (num_occ(X0,sK12(X0,X1,X2),X2) != num_occ(X0,sK12(X0,X1,X2),X1) & sort(X0,sK12(X0,X1,X2))))), 15.57/2.36 introduced(choice_axiom,[])). 15.57/2.36 tff(f267,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : ((permut(X0,X1,X2) | ? [X3 : uni] : (num_occ(X0,X3,X2) != num_occ(X0,X3,X1) & sort(X0,X3))) & (! [X4 : uni] : num_occ(X0,X4,X2) = num_occ(X0,X4,X1) | ~permut(X0,X1,X2)))), 15.57/2.36 inference(ennf_transformation,[],[f202])). 15.57/2.36 tff(f202,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort(X0,X3) => num_occ(X0,X3,X2) = num_occ(X0,X3,X1)) => permut(X0,X1,X2)) & (permut(X0,X1,X2) => ! [X4 : uni] : num_occ(X0,X4,X2) = num_occ(X0,X4,X1)))), 15.57/2.36 inference(rectify,[],[f33])). 15.57/2.36 tff(f33,axiom,( 15.57/2.36 ! [X0 : ty,X11 : uni,X12 : uni] : ((! [X6 : uni] : (sort(X0,X6) => num_occ(X0,X6,X12) = num_occ(X0,X6,X11)) => permut(X0,X11,X12)) & (permut(X0,X11,X12) => ! [X6 : uni] : num_occ(X0,X6,X12) = num_occ(X0,X6,X11)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_def)). 15.57/2.36 tff(f1710,plain,( 15.57/2.36 ( ! [X6:uni,X7:uni] : (~permut(elt1,X6,t2tb(sK1)) | permut(elt1,X6,X7) | sort(elt1,sK12(elt1,X7,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1668,f427])). 15.57/2.36 tff(f1668,plain,( 15.57/2.36 ( ! [X6:uni,X7:uni] : (~permut(elt1,X7,t2tb(sK1)) | permut(elt1,X6,X7) | ~permut(elt1,X6,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1378,f1255])). 15.57/2.36 tff(f1255,plain,( 15.57/2.36 ( ! [X12:uni] : (permut(elt1,X12,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~permut(elt1,X12,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f460,f638])). 15.57/2.36 tff(f638,plain,( 15.57/2.36 permut(elt1,t2tb(sK1),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~spl15_11), 15.57/2.36 inference(avatar_component_clause,[],[f637])). 15.57/2.36 tff(f460,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~permut(X0,X2,X3) | permut(X0,X1,X3) | ~permut(X0,X1,X2)) )), 15.57/2.36 inference(cnf_transformation,[],[f292])). 15.57/2.36 tff(f292,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (permut(X0,X1,X3) | ~permut(X0,X2,X3) | ~permut(X0,X1,X2))), 15.57/2.36 inference(flattening,[],[f291])). 15.57/2.36 tff(f291,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((permut(X0,X1,X3) | ~permut(X0,X2,X3)) | ~permut(X0,X1,X2))), 15.57/2.36 inference(ennf_transformation,[],[f229])). 15.57/2.36 tff(f229,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (permut(X0,X1,X2) => (permut(X0,X2,X3) => permut(X0,X1,X3)))), 15.57/2.36 inference(rectify,[],[f60])). 15.57/2.36 tff(f60,axiom,( 15.57/2.36 ! [X0 : ty,X11 : uni,X12 : uni,X13 : uni] : (permut(X0,X11,X12) => (permut(X0,X12,X13) => permut(X0,X11,X13)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_trans)). 15.57/2.36 tff(f1378,plain,( 15.57/2.36 ( ! [X2:uni,X3:uni] : (~permut(elt1,X3,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | permut(elt1,X3,X2) | ~permut(elt1,X2,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1348,f460])). 15.57/2.36 tff(f1348,plain,( 15.57/2.36 ( ! [X8:uni] : (permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),X8) | ~permut(elt1,X8,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1255,f438])). 15.57/2.36 tff(f510,plain,( 15.57/2.36 ~permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_7), 15.57/2.36 inference(avatar_component_clause,[],[f509])). 15.57/2.36 tff(f14367,plain,( 15.57/2.36 spl15_114 | ~spl15_54), 15.57/2.36 inference(avatar_split_clause,[],[f14331,f3638,f14365])). 15.57/2.36 tff(f14365,plain,( 15.57/2.36 spl15_114 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_114])])). 15.57/2.36 tff(f3638,plain,( 15.57/2.36 spl15_54 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_54])])). 15.57/2.36 tff(f14331,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))) | ~spl15_54), 15.57/2.36 inference(backward_demodulation,[],[f3639,f14306])). 15.57/2.36 tff(f3639,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | ~spl15_54), 15.57/2.36 inference(avatar_component_clause,[],[f3638])). 15.57/2.36 tff(f14363,plain,( 15.57/2.36 spl15_113 | ~spl15_34), 15.57/2.36 inference(avatar_split_clause,[],[f14330,f2116,f14361])). 15.57/2.36 tff(f14361,plain,( 15.57/2.36 spl15_113 <=> 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),nil(elt1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_113])])). 15.57/2.36 tff(f2116,plain,( 15.57/2.36 spl15_34 <=> 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)),nil(elt1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_34])])). 15.57/2.36 tff(f14330,plain,( 15.57/2.36 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),nil(elt1)) | ~spl15_34), 15.57/2.36 inference(backward_demodulation,[],[f2117,f14306])). 15.57/2.36 tff(f2117,plain,( 15.57/2.36 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)),nil(elt1)) | ~spl15_34), 15.57/2.36 inference(avatar_component_clause,[],[f2116])). 15.57/2.36 tff(f14359,plain,( 15.57/2.36 spl15_112 | ~spl15_33), 15.57/2.36 inference(avatar_split_clause,[],[f14329,f2112,f14357])). 15.57/2.36 tff(f14357,plain,( 15.57/2.36 spl15_112 <=> sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_112])])). 15.57/2.36 tff(f2112,plain,( 15.57/2.36 spl15_33 <=> sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_33])])). 15.57/2.36 tff(f14329,plain,( 15.57/2.36 sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))) | ~spl15_33), 15.57/2.36 inference(backward_demodulation,[],[f2113,f14306])). 15.57/2.36 tff(f2113,plain,( 15.57/2.36 sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)))) | ~spl15_33), 15.57/2.36 inference(avatar_component_clause,[],[f2112])). 15.57/2.36 tff(f14353,plain,( 15.57/2.36 spl15_111 | ~spl15_21), 15.57/2.36 inference(avatar_split_clause,[],[f14320,f1821,f14351])). 15.57/2.36 tff(f1821,plain,( 15.57/2.36 spl15_21 <=> sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_21])])). 15.57/2.36 tff(f14320,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_21), 15.57/2.36 inference(backward_demodulation,[],[f1822,f14306])). 15.57/2.36 tff(f1822,plain,( 15.57/2.36 sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))) | ~spl15_21), 15.57/2.36 inference(avatar_component_clause,[],[f1821])). 15.57/2.36 tff(f14349,plain,( 15.57/2.36 spl15_110 | ~spl15_16), 15.57/2.36 inference(avatar_split_clause,[],[f14313,f846,f14347])). 15.57/2.36 tff(f14347,plain,( 15.57/2.36 spl15_110 <=> 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_110])])). 15.57/2.36 tff(f846,plain,( 15.57/2.36 spl15_16 <=> 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_16])])). 15.57/2.36 tff(f14313,plain,( 15.57/2.36 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | ~spl15_16), 15.57/2.36 inference(backward_demodulation,[],[f847,f14306])). 15.57/2.36 tff(f847,plain,( 15.57/2.36 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | ~spl15_16), 15.57/2.36 inference(avatar_component_clause,[],[f846])). 15.57/2.36 tff(f14345,plain,( 15.57/2.36 spl15_109 | ~spl15_15), 15.57/2.36 inference(avatar_split_clause,[],[f14312,f842,f14343])). 15.57/2.36 tff(f14343,plain,( 15.57/2.36 spl15_109 <=> sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_109])])). 15.57/2.36 tff(f842,plain,( 15.57/2.36 spl15_15 <=> sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_15])])). 15.57/2.36 tff(f14312,plain,( 15.57/2.36 sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | ~spl15_15), 15.57/2.36 inference(backward_demodulation,[],[f843,f14306])). 15.57/2.36 tff(f843,plain,( 15.57/2.36 sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | ~spl15_15), 15.57/2.36 inference(avatar_component_clause,[],[f842])). 15.57/2.36 tff(f14341,plain,( 15.57/2.36 spl15_108 | ~spl15_14), 15.57/2.36 inference(avatar_split_clause,[],[f14311,f836,f14339])). 15.57/2.36 tff(f14339,plain,( 15.57/2.36 spl15_108 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_108])])). 15.57/2.36 tff(f836,plain,( 15.57/2.36 spl15_14 <=> sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_14])])). 15.57/2.36 tff(f14311,plain,( 15.57/2.36 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | ~spl15_14), 15.57/2.36 inference(backward_demodulation,[],[f837,f14306])). 15.57/2.36 tff(f837,plain,( 15.57/2.36 sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | ~spl15_14), 15.57/2.36 inference(avatar_component_clause,[],[f836])). 15.57/2.36 tff(f14337,plain,( 15.57/2.36 ~spl15_107 | spl15_7), 15.57/2.36 inference(avatar_split_clause,[],[f14310,f509,f14335])). 15.57/2.36 tff(f14310,plain,( 15.57/2.36 ~permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_7), 15.57/2.36 inference(backward_demodulation,[],[f510,f14306])). 15.57/2.36 tff(f13154,plain,( 15.57/2.36 ~spl15_63 | spl15_106 | ~spl15_57), 15.57/2.36 inference(avatar_split_clause,[],[f13135,f3688,f13152,f3762])). 15.57/2.36 tff(f3762,plain,( 15.57/2.36 spl15_63 <=> sort(elt1,cons_proj_1(elt1,t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_63])])). 15.57/2.36 tff(f13152,plain,( 15.57/2.36 spl15_106 <=> ! [X95 : uni,X94 : uni] : (~sort(elt1,X94) | sort(elt1,sK12(elt1,X95,t2tb(sK1))) | $less(0,num_occ(elt1,cons_proj_1(elt1,t2tb(sK1)),cons(elt1,X94,X95))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_106])])). 15.57/2.36 tff(f3688,plain,( 15.57/2.36 spl15_57 <=> ! [X19 : uni] : (mem(elt1,cons_proj_1(elt1,t2tb(sK1)),X19) | sort(elt1,sK12(elt1,X19,t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_57])])). 15.57/2.36 tff(f13135,plain,( 15.57/2.36 ( ! [X94:uni,X95:uni] : (~sort(elt1,X94) | ~sort(elt1,cons_proj_1(elt1,t2tb(sK1))) | $less(0,num_occ(elt1,cons_proj_1(elt1,t2tb(sK1)),cons(elt1,X94,X95))) | sort(elt1,sK12(elt1,X95,t2tb(sK1)))) ) | ~spl15_57), 15.57/2.36 inference(resolution,[],[f1703,f3689])). 15.57/2.36 tff(f3689,plain,( 15.57/2.36 ( ! [X19:uni] : (mem(elt1,cons_proj_1(elt1,t2tb(sK1)),X19) | sort(elt1,sK12(elt1,X19,t2tb(sK1)))) ) | ~spl15_57), 15.57/2.36 inference(avatar_component_clause,[],[f3688])). 15.57/2.36 tff(f1703,plain,( 15.57/2.36 ( ! [X10:uni,X8:ty,X11:uni,X9:uni] : (~mem(X8,X9,X10) | ~sort(X8,X11) | ~sort(X8,X9) | $less(0,num_occ(X8,X9,cons(X8,X11,X10)))) )), 15.57/2.36 inference(resolution,[],[f380,f443])). 15.57/2.36 tff(f443,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,X1,X2) | $less(0,num_occ(X0,X1,X2))) )), 15.57/2.36 inference(cnf_transformation,[],[f326])). 15.57/2.36 tff(f326,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : ((mem(X0,X1,X2) | ~$less(0,num_occ(X0,X1,X2))) & ($less(0,num_occ(X0,X1,X2)) | ~mem(X0,X1,X2)))), 15.57/2.36 inference(nnf_transformation,[],[f215])). 15.57/2.36 tff(f215,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) <=> $less(0,num_occ(X0,X1,X2)))), 15.57/2.36 inference(rectify,[],[f76])). 15.57/2.36 tff(f76,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni,X9 : uni] : (mem(X0,X6,X9) <=> $less(0,num_occ(X0,X6,X9)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_Num_Occ)). 15.57/2.36 tff(f380,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort(X0,X2) | ~sort(X0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f304])). 15.57/2.36 tff(f304,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & (mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 15.57/2.36 inference(flattening,[],[f303])). 15.57/2.36 tff(f303,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & ((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 15.57/2.36 inference(nnf_transformation,[],[f242])). 15.57/2.36 tff(f242,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : ((mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 15.57/2.36 inference(ennf_transformation,[],[f173])). 15.57/2.36 tff(f173,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (! [X2 : uni,X3 : uni] : (sort(X0,X2) => (mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2))) & ~mem(X0,X1,nil(X0))))), 15.57/2.36 inference(rectify,[],[f66])). 15.57/2.36 tff(f66,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni] : (sort(X0,X6) => (! [X8 : uni,X10 : uni] : (sort(X0,X8) => (mem(X0,X6,cons(X0,X8,X10)) <=> (mem(X0,X6,X10) | X6 = X8))) & ~mem(X0,X6,nil(X0))))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 15.57/2.36 tff(f13150,plain,( 15.57/2.36 ~spl15_104 | spl15_105 | ~spl15_59), 15.57/2.36 inference(avatar_split_clause,[],[f13134,f3695,f13148,f13145])). 15.57/2.36 tff(f13145,plain,( 15.57/2.36 spl15_104 <=> sort(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_104])])). 15.57/2.36 tff(f13148,plain,( 15.57/2.36 spl15_105 <=> ! [X93 : uni] : (~sort(elt1,X93) | $less(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,X93,t2tb(sK1)))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_105])])). 15.57/2.36 tff(f3695,plain,( 15.57/2.36 spl15_59 <=> mem(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_59])])). 15.57/2.36 tff(f13134,plain,( 15.57/2.36 ( ! [X93:uni] : (~sort(elt1,X93) | ~sort(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))) | $less(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,X93,t2tb(sK1))))) ) | ~spl15_59), 15.57/2.36 inference(resolution,[],[f1703,f3696])). 15.57/2.36 tff(f3696,plain,( 15.57/2.36 mem(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) | ~spl15_59), 15.57/2.36 inference(avatar_component_clause,[],[f3695])). 15.57/2.36 tff(f12290,plain,( 15.57/2.36 spl15_19 | spl15_103 | ~spl15_3), 15.57/2.36 inference(avatar_split_clause,[],[f12248,f483,f12288,f1189])). 15.57/2.36 tff(f1189,plain,( 15.57/2.36 spl15_19 <=> nil(elt1) = prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_19])])). 15.57/2.36 tff(f12288,plain,( 15.57/2.36 spl15_103 <=> ! [X12 : uni] : (~permut(elt1,X12,cons_proj_2(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))) | permut(elt1,cons(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),X12),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_103])])). 15.57/2.36 tff(f12248,plain,( 15.57/2.36 ( ! [X12:uni] : (~permut(elt1,X12,cons_proj_2(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))) | nil(elt1) = prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)) | permut(elt1,cons(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),X12),t2tb(sK1))) ) | ~spl15_3), 15.57/2.36 inference(resolution,[],[f1458,f1254])). 15.57/2.36 tff(f1254,plain,( 15.57/2.36 ( ! [X11:uni] : (~permut(elt1,X11,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | permut(elt1,X11,t2tb(sK1))) ) | ~spl15_3), 15.57/2.36 inference(resolution,[],[f460,f484])). 15.57/2.36 tff(f484,plain,( 15.57/2.36 permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) | ~spl15_3), 15.57/2.36 inference(avatar_component_clause,[],[f483])). 15.57/2.36 tff(f1458,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (permut(X0,cons(X0,cons_proj_1(X0,X1),X2),X1) | ~permut(X0,X2,cons_proj_2(X0,X1)) | nil(X0) = X1) )), 15.57/2.36 inference(superposition,[],[f458,f372])). 15.57/2.36 tff(f372,plain,( 15.57/2.36 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 15.57/2.36 inference(cnf_transformation,[],[f169])). 15.57/2.36 tff(f169,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1)), 15.57/2.36 inference(rectify,[],[f39])). 15.57/2.36 tff(f39,axiom,( 15.57/2.36 ! [X0 : ty,X4 : uni] : (cons(X0,cons_proj_1(X0,X4),cons_proj_2(X0,X4)) = X4 | nil(X0) = X4)), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion)). 15.57/2.36 tff(f12286,plain,( 15.57/2.36 spl15_58 | spl15_102 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f12247,f637,f12284,f3691])). 15.57/2.36 tff(f3691,plain,( 15.57/2.36 spl15_58 <=> nil(elt1) = t2tb(sK1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_58])])). 15.57/2.36 tff(f12284,plain,( 15.57/2.36 spl15_102 <=> ! [X11 : uni,X10 : uni] : (~permut(elt1,X10,cons_proj_2(elt1,t2tb(sK1))) | ~mem(elt1,X11,t2tb(sK1)) | mem(elt1,X11,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X10)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_102])])). 15.57/2.36 tff(f12247,plain,( 15.57/2.36 ( ! [X10:uni,X11:uni] : (~permut(elt1,X10,cons_proj_2(elt1,t2tb(sK1))) | nil(elt1) = t2tb(sK1) | mem(elt1,X11,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X10)) | ~mem(elt1,X11,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1458,f1900])). 15.57/2.36 tff(f1900,plain,( 15.57/2.36 ( ! [X2:uni,X3:uni] : (~permut(elt1,X2,t2tb(sK1)) | mem(elt1,X3,X2) | ~mem(elt1,X3,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1379,f1250])). 15.57/2.36 tff(f1250,plain,( 15.57/2.36 ( ! [X12:uni] : (mem(elt1,X12,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~mem(elt1,X12,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f459,f638])). 15.57/2.36 tff(f459,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~permut(X0,X2,X3) | ~mem(X0,X1,X2) | mem(X0,X1,X3)) )), 15.57/2.36 inference(cnf_transformation,[],[f290])). 15.57/2.36 tff(f290,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,X3) | ~mem(X0,X1,X2) | ~permut(X0,X2,X3))), 15.57/2.36 inference(flattening,[],[f289])). 15.57/2.36 tff(f289,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | ~mem(X0,X1,X2)) | ~permut(X0,X2,X3))), 15.57/2.36 inference(ennf_transformation,[],[f228])). 15.57/2.36 tff(f228,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (permut(X0,X2,X3) => (mem(X0,X1,X2) => mem(X0,X1,X3)))), 15.57/2.36 inference(rectify,[],[f80])). 15.57/2.36 tff(f80,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni,X11 : uni,X12 : uni] : (permut(X0,X11,X12) => (mem(X0,X6,X11) => mem(X0,X6,X12)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_mem)). 15.57/2.36 tff(f1379,plain,( 15.57/2.36 ( ! [X4:uni,X5:uni] : (~mem(elt1,X5,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~permut(elt1,X4,t2tb(sK1)) | mem(elt1,X5,X4)) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1348,f459])). 15.57/2.36 tff(f12282,plain,( 15.57/2.36 spl15_58 | spl15_101 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f12246,f637,f12280,f3691])). 15.57/2.36 tff(f12280,plain,( 15.57/2.36 spl15_101 <=> ! [X9 : uni,X7 : uni,X8 : uni] : (~permut(elt1,X7,cons_proj_2(elt1,t2tb(sK1))) | sort(elt1,sK12(elt1,X9,t2tb(sK1))) | ~permut(elt1,X8,X9) | permut(elt1,X8,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X7)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_101])])). 15.57/2.36 tff(f12246,plain,( 15.57/2.36 ( ! [X8:uni,X7:uni,X9:uni] : (~permut(elt1,X7,cons_proj_2(elt1,t2tb(sK1))) | nil(elt1) = t2tb(sK1) | permut(elt1,X8,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X7)) | ~permut(elt1,X8,X9) | sort(elt1,sK12(elt1,X9,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1458,f1760])). 15.57/2.36 tff(f1760,plain,( 15.57/2.36 ( ! [X12:uni,X13:uni,X11:uni] : (~permut(elt1,X11,t2tb(sK1)) | permut(elt1,X12,X11) | ~permut(elt1,X12,X13) | sort(elt1,sK12(elt1,X13,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1667,f427])). 15.57/2.36 tff(f1667,plain,( 15.57/2.36 ( ! [X4:uni,X5:uni,X3:uni] : (~permut(elt1,X5,t2tb(sK1)) | ~permut(elt1,X4,t2tb(sK1)) | permut(elt1,X3,X4) | ~permut(elt1,X3,X5)) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1378,f1345])). 15.57/2.36 tff(f1345,plain,( 15.57/2.36 ( ! [X4:uni,X3:uni] : (permut(elt1,X4,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~permut(elt1,X3,t2tb(sK1)) | ~permut(elt1,X4,X3)) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1255,f460])). 15.57/2.36 tff(f12278,plain,( 15.57/2.36 spl15_58 | spl15_100 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f12245,f637,f12276,f3691])). 15.57/2.36 tff(f12276,plain,( 15.57/2.36 spl15_100 <=> ! [X5 : uni,X6 : uni] : (~permut(elt1,X5,cons_proj_2(elt1,t2tb(sK1))) | sort(elt1,sK12(elt1,X6,t2tb(sK1))) | permut(elt1,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X5),X6))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_100])])). 15.57/2.36 tff(f12245,plain,( 15.57/2.36 ( ! [X6:uni,X5:uni] : (~permut(elt1,X5,cons_proj_2(elt1,t2tb(sK1))) | nil(elt1) = t2tb(sK1) | permut(elt1,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X5),X6) | sort(elt1,sK12(elt1,X6,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1458,f1710])). 15.57/2.36 tff(f12274,plain,( 15.57/2.36 spl15_58 | spl15_99 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f12244,f637,f12272,f3691])). 15.57/2.36 tff(f12272,plain,( 15.57/2.36 spl15_99 <=> ! [X3 : uni,X4 : uni] : (~permut(elt1,X3,cons_proj_2(elt1,t2tb(sK1))) | ~permut(elt1,X4,t2tb(sK1)) | permut(elt1,X4,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X3)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_99])])). 15.57/2.36 tff(f12244,plain,( 15.57/2.36 ( ! [X4:uni,X3:uni] : (~permut(elt1,X3,cons_proj_2(elt1,t2tb(sK1))) | nil(elt1) = t2tb(sK1) | permut(elt1,X4,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X3)) | ~permut(elt1,X4,t2tb(sK1))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1458,f1668])). 15.57/2.36 tff(f12270,plain,( 15.57/2.36 spl15_58 | spl15_98 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f12243,f637,f12268,f3691])). 15.57/2.36 tff(f12268,plain,( 15.57/2.36 spl15_98 <=> ! [X1 : uni,X0 : uni,X2 : uni] : (~permut(elt1,X0,cons_proj_2(elt1,t2tb(sK1))) | ~permut(elt1,X1,t2tb(sK1)) | ~permut(elt1,X2,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X0)) | permut(elt1,X2,X1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_98])])). 15.57/2.36 tff(f12243,plain,( 15.57/2.36 ( ! [X2:uni,X0:uni,X1:uni] : (~permut(elt1,X0,cons_proj_2(elt1,t2tb(sK1))) | nil(elt1) = t2tb(sK1) | ~permut(elt1,X1,t2tb(sK1)) | permut(elt1,X2,X1) | ~permut(elt1,X2,cons(elt1,cons_proj_1(elt1,t2tb(sK1)),X0))) ) | ~spl15_11), 15.57/2.36 inference(resolution,[],[f1458,f1667])). 15.57/2.36 tff(f11494,plain,( 15.57/2.36 ~spl15_96 | spl15_97 | ~spl15_3), 15.57/2.36 inference(avatar_split_clause,[],[f11470,f483,f11492,f11489])). 15.57/2.36 tff(f11489,plain,( 15.57/2.36 spl15_96 <=> sorted(tb2t(prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_96])])). 15.57/2.36 tff(f11492,plain,( 15.57/2.36 spl15_97 <=> ! [X2 : elt] : (sorted(tb2t(cons(elt1,t2tb1(X2),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))) | mem(elt1,t2tb1(sK11(X2,tb2t(prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_97])])). 15.57/2.36 tff(f11470,plain,( 15.57/2.36 ( ! [X2:elt] : (sorted(tb2t(cons(elt1,t2tb1(X2),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))) | ~sorted(tb2t(prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))) | mem(elt1,t2tb1(sK11(X2,tb2t(prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))))),t2tb(sK1))) ) | ~spl15_3), 15.57/2.36 inference(resolution,[],[f1764,f1249])). 15.57/2.36 tff(f1249,plain,( 15.57/2.36 ( ! [X11:uni] : (~mem(elt1,X11,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | mem(elt1,X11,t2tb(sK1))) ) | ~spl15_3), 15.57/2.36 inference(resolution,[],[f459,f484])). 15.57/2.36 tff(f1764,plain,( 15.57/2.36 ( ! [X0:uni,X1:elt] : (mem(elt1,t2tb1(sK11(X1,tb2t(X0))),X0) | sorted(tb2t(cons(elt1,t2tb1(X1),X0))) | ~sorted(tb2t(X0))) )), 15.57/2.36 inference(superposition,[],[f410,f342])). 15.57/2.36 tff(f342,plain,( 15.57/2.36 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 15.57/2.36 inference(cnf_transformation,[],[f147])). 15.57/2.36 tff(f147,plain,( 15.57/2.36 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 15.57/2.36 inference(rectify,[],[f61])). 15.57/2.36 tff(f61,axiom,( 15.57/2.36 ! [X21 : uni] : t2tb(tb2t(X21)) = X21), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 15.57/2.36 tff(f410,plain,( 15.57/2.36 ( ! [X0:elt,X1:list_elt] : (mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X1)) | sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))) | ~sorted(X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f321])). 15.57/2.36 tff(f321,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : (((! [X2 : elt] : (le(X0,X2) | ~mem(elt1,t2tb1(X2),t2tb(X1))) & sorted(X1)) | ~sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1))))) & (sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))) | (~le(X0,sK11(X0,X1)) & mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X1))) | ~sorted(X1)))), 15.57/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f319,f320])). 15.57/2.36 tff(f320,plain,( 15.57/2.36 ! [X1 : list_elt,X0 : elt] : (? [X3 : elt] : (~le(X0,X3) & mem(elt1,t2tb1(X3),t2tb(X1))) => (~le(X0,sK11(X0,X1)) & mem(elt1,t2tb1(sK11(X0,X1)),t2tb(X1))))), 15.57/2.36 introduced(choice_axiom,[])). 15.57/2.36 tff(f319,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : (((! [X2 : elt] : (le(X0,X2) | ~mem(elt1,t2tb1(X2),t2tb(X1))) & sorted(X1)) | ~sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1))))) & (sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))) | ? [X3 : elt] : (~le(X0,X3) & mem(elt1,t2tb1(X3),t2tb(X1))) | ~sorted(X1)))), 15.57/2.36 inference(rectify,[],[f318])). 15.57/2.36 tff(f318,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : (((! [X2 : elt] : (le(X0,X2) | ~mem(elt1,t2tb1(X2),t2tb(X1))) & sorted(X1)) | ~sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1))))) & (sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))) | ? [X2 : elt] : (~le(X0,X2) & mem(elt1,t2tb1(X2),t2tb(X1))) | ~sorted(X1)))), 15.57/2.36 inference(flattening,[],[f317])). 15.57/2.36 tff(f317,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : (((! [X2 : elt] : (le(X0,X2) | ~mem(elt1,t2tb1(X2),t2tb(X1))) & sorted(X1)) | ~sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1))))) & (sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))) | (? [X2 : elt] : (~le(X0,X2) & mem(elt1,t2tb1(X2),t2tb(X1))) | ~sorted(X1))))), 15.57/2.36 inference(nnf_transformation,[],[f266])). 15.57/2.36 tff(f266,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : ((! [X2 : elt] : (le(X0,X2) | ~mem(elt1,t2tb1(X2),t2tb(X1))) & sorted(X1)) <=> sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))))), 15.57/2.36 inference(ennf_transformation,[],[f189])). 15.57/2.36 tff(f189,plain,( 15.57/2.36 ! [X0 : elt,X1 : list_elt] : ((! [X2 : elt] : (mem(elt1,t2tb1(X2),t2tb(X1)) => le(X0,X2)) & sorted(X1)) <=> sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(X1)))))), 15.57/2.36 inference(rectify,[],[f90])). 15.57/2.36 tff(f90,axiom,( 15.57/2.36 ! [X6 : elt,X9 : list_elt] : ((! [X7 : elt] : (mem(elt1,t2tb1(X7),t2tb(X9)) => le(X6,X7)) & sorted(X9)) <=> sorted(tb2t(cons(elt1,t2tb1(X6),t2tb(X9)))))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_mem)). 15.57/2.36 tff(f8924,plain,( 15.57/2.36 spl15_95 | ~spl15_93), 15.57/2.36 inference(avatar_split_clause,[],[f8919,f8394,f8922])). 15.57/2.36 tff(f8922,plain,( 15.57/2.36 spl15_95 <=> 2 = abs(-2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_95])])). 15.57/2.36 tff(f8394,plain,( 15.57/2.36 spl15_93 <=> ! [X12 : $int] : (~$less(X12,-2) | $less(X12,0))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_93])])). 15.57/2.36 tff(f8919,plain,( 15.57/2.36 2 = abs(-2) | ~spl15_93), 15.57/2.36 inference(evaluation,[],[f8913])). 15.57/2.36 tff(f8913,plain,( 15.57/2.36 $less(0,0) | 0 = -2 | $uminus(-2) = abs(-2) | ~spl15_93), 15.57/2.36 inference(resolution,[],[f8395,f670])). 15.57/2.36 tff(f670,plain,( 15.57/2.36 ( ! [X6:$int] : ($less(0,X6) | 0 = X6 | abs(X6) = $uminus(X6)) )), 15.57/2.36 inference(resolution,[],[f128,f349])). 15.57/2.36 tff(f349,plain,( 15.57/2.36 ( ! [X0:$int] : (~$less(X0,0) | $uminus(X0) = abs(X0)) )), 15.57/2.36 inference(cnf_transformation,[],[f235])). 15.57/2.36 tff(f235,plain,( 15.57/2.36 ! [X0 : $int] : ((abs(X0) = X0 | $less(X0,0)) & ($uminus(X0) = abs(X0) | ~$less(X0,0)))), 15.57/2.36 inference(ennf_transformation,[],[f152])). 15.57/2.36 tff(f152,plain,( 15.57/2.36 ! [X0 : $int] : ((~$less(X0,0) => abs(X0) = X0) & ($less(X0,0) => $uminus(X0) = abs(X0)))), 15.57/2.36 inference(rectify,[],[f104])). 15.57/2.36 tff(f104,plain,( 15.57/2.36 ! [X6 : $int] : ((~$less(X6,0) => abs(X6) = X6) & ($less(X6,0) => abs(X6) = $uminus(X6)))), 15.57/2.36 inference(theory_normalization,[],[f84])). 15.57/2.36 tff(f84,axiom,( 15.57/2.36 ! [X6 : $int] : (($lesseq(0,X6) => abs(X6) = X6) & (~$lesseq(0,X6) => abs(X6) = $uminus(X6)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)). 15.57/2.36 tff(f128,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f8395,plain,( 15.57/2.36 ( ! [X12:$int] : (~$less(X12,-2) | $less(X12,0)) ) | ~spl15_93), 15.57/2.36 inference(avatar_component_clause,[],[f8394])). 15.57/2.36 tff(f8496,plain,( 15.57/2.36 spl15_94 | ~spl15_82 | ~spl15_90), 15.57/2.36 inference(avatar_split_clause,[],[f8492,f7353,f7172,f8494])). 15.57/2.36 tff(f8494,plain,( 15.57/2.36 spl15_94 <=> 0 = div(1,2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_94])])). 15.57/2.36 tff(f7172,plain,( 15.57/2.36 spl15_82 <=> 1 = mod(1,2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_82])])). 15.57/2.36 tff(f7353,plain,( 15.57/2.36 spl15_90 <=> 2 = abs(2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_90])])). 15.57/2.36 tff(f8492,plain,( 15.57/2.36 0 = div(1,2) | (~spl15_82 | ~spl15_90)), 15.57/2.36 inference(forward_demodulation,[],[f8481,f7354])). 15.57/2.36 tff(f7354,plain,( 15.57/2.36 2 = abs(2) | ~spl15_90), 15.57/2.36 inference(avatar_component_clause,[],[f7353])). 15.57/2.36 tff(f8481,plain,( 15.57/2.36 0 = div(1,abs(2)) | ~spl15_82), 15.57/2.36 inference(evaluation,[],[f8480])). 15.57/2.36 tff(f8480,plain,( 15.57/2.36 $less(1,0) | 0 = div(1,abs(2)) | 0 = 2 | ~spl15_82), 15.57/2.36 inference(superposition,[],[f1086,f7173])). 15.57/2.36 tff(f7173,plain,( 15.57/2.36 1 = mod(1,2) | ~spl15_82), 15.57/2.36 inference(avatar_component_clause,[],[f7172])). 15.57/2.36 tff(f1086,plain,( 15.57/2.36 ( ! [X19:$int,X18:$int] : ($less(mod(X18,X19),0) | 0 = div(mod(X18,X19),abs(X19)) | 0 = X19) )), 15.57/2.36 inference(resolution,[],[f398,f375])). 15.57/2.36 tff(f375,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($less(mod(X0,X1),abs(X1)) | 0 = X1) )), 15.57/2.36 inference(cnf_transformation,[],[f241])). 15.57/2.36 tff(f241,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (($less($uminus(abs(X1)),mod(X0,X1)) & $less(mod(X0,X1),abs(X1))) | 0 = X1)), 15.57/2.36 inference(ennf_transformation,[],[f172])). 15.57/2.36 tff(f172,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less($uminus(abs(X1)),mod(X0,X1)) & $less(mod(X0,X1),abs(X1))))), 15.57/2.36 inference(rectify,[],[f48])). 15.57/2.36 tff(f48,axiom,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (0 != X7 => ($less($uminus(abs(X7)),mod(X6,X7)) & $less(mod(X6,X7),abs(X7))))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound)). 15.57/2.36 tff(f398,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X0,0) | 0 = div(X0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f263])). 15.57/2.36 tff(f263,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | $less(X0,0) | ~$less(X0,X1))), 15.57/2.36 inference(flattening,[],[f262])). 15.57/2.36 tff(f262,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | ($less(X0,0) | ~$less(X0,X1)))), 15.57/2.36 inference(ennf_transformation,[],[f185])). 15.57/2.36 tff(f185,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => 0 = div(X0,X1))), 15.57/2.36 inference(rectify,[],[f113])). 15.57/2.36 tff(f113,plain,( 15.57/2.36 ! [X6 : $int,X7 : $int] : ((~$less(X6,0) & $less(X6,X7)) => 0 = div(X6,X7))), 15.57/2.36 inference(theory_normalization,[],[f92])). 15.57/2.36 tff(f92,axiom,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (($lesseq(0,X6) & $less(X6,X7)) => 0 = div(X6,X7))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf)). 15.57/2.36 tff(f8397,plain,( 15.57/2.36 spl15_93 | ~spl15_78 | ~spl15_90), 15.57/2.36 inference(avatar_split_clause,[],[f8386,f7353,f5611,f8394])). 15.57/2.36 tff(f5611,plain,( 15.57/2.36 spl15_78 <=> 0 = mod(0,2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_78])])). 15.57/2.36 tff(f8386,plain,( 15.57/2.36 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,-2)) ) | (~spl15_78 | ~spl15_90)), 15.57/2.36 inference(superposition,[],[f7440,f5612])). 15.57/2.36 tff(f5612,plain,( 15.57/2.36 0 = mod(0,2) | ~spl15_78), 15.57/2.36 inference(avatar_component_clause,[],[f5611])). 15.57/2.36 tff(f7440,plain,( 15.57/2.36 ( ! [X10:$int,X9:$int] : ($less(X9,mod(X10,2)) | ~$less(X9,-2)) ) | ~spl15_90), 15.57/2.36 inference(evaluation,[],[f7436])). 15.57/2.36 tff(f7436,plain,( 15.57/2.36 ( ! [X10:$int,X9:$int] : (~$less(X9,$uminus(2)) | 0 = 2 | $less(X9,mod(X10,2))) ) | ~spl15_90), 15.57/2.36 inference(superposition,[],[f760,f7354])). 15.57/2.36 tff(f760,plain,( 15.57/2.36 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,$uminus(abs(X0))) | 0 = X0 | $less(X1,mod(X2,X0))) )), 15.57/2.36 inference(resolution,[],[f376,f127])). 15.57/2.36 tff(f127,plain,( 15.57/2.36 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f376,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($less($uminus(abs(X1)),mod(X0,X1)) | 0 = X1) )), 15.57/2.36 inference(cnf_transformation,[],[f241])). 15.57/2.36 tff(f8396,plain,( 15.57/2.36 spl15_92 | spl15_93 | ~spl15_90), 15.57/2.36 inference(avatar_split_clause,[],[f8374,f7353,f8394,f8391])). 15.57/2.36 tff(f8391,plain,( 15.57/2.36 spl15_92 <=> ! [X13 : $int] : mod(X13,2) = abs(mod(X13,2))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_92])])). 15.57/2.36 tff(f8374,plain,( 15.57/2.36 ( ! [X12:$int,X13:$int] : (~$less(X12,-2) | $less(X12,0) | mod(X13,2) = abs(mod(X13,2))) ) | ~spl15_90), 15.57/2.36 inference(resolution,[],[f7440,f662])). 15.57/2.36 tff(f662,plain,( 15.57/2.36 ( ! [X14:$int,X15:$int] : (~$less(X14,X15) | $less(X14,0) | abs(X15) = X15) )), 15.57/2.36 inference(resolution,[],[f127,f350])). 15.57/2.36 tff(f350,plain,( 15.57/2.36 ( ! [X0:$int] : ($less(X0,0) | abs(X0) = X0) )), 15.57/2.36 inference(cnf_transformation,[],[f235])). 15.57/2.36 tff(f7376,plain,( 15.57/2.36 spl15_78 | ~spl15_88 | ~spl15_90), 15.57/2.36 inference(avatar_split_clause,[],[f7375,f7353,f7341,f5611])). 15.57/2.36 tff(f7341,plain,( 15.57/2.36 spl15_88 <=> 0 = mod(0,abs(2))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_88])])). 15.57/2.36 tff(f7375,plain,( 15.57/2.36 0 = mod(0,2) | (~spl15_88 | ~spl15_90)), 15.57/2.36 inference(forward_demodulation,[],[f7342,f7354])). 15.57/2.36 tff(f7342,plain,( 15.57/2.36 0 = mod(0,abs(2)) | ~spl15_88), 15.57/2.36 inference(avatar_component_clause,[],[f7341])). 15.57/2.36 tff(f7374,plain,( 15.57/2.36 spl15_91 | ~spl15_89 | ~spl15_90), 15.57/2.36 inference(avatar_split_clause,[],[f7370,f7353,f7345,f7372])). 15.57/2.36 tff(f7372,plain,( 15.57/2.36 spl15_91 <=> 0 = div(0,2)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_91])])). 15.57/2.36 tff(f7345,plain,( 15.57/2.36 spl15_89 <=> 0 = div(0,abs(2))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_89])])). 15.57/2.36 tff(f7370,plain,( 15.57/2.36 0 = div(0,2) | (~spl15_89 | ~spl15_90)), 15.57/2.36 inference(forward_demodulation,[],[f7346,f7354])). 15.57/2.36 tff(f7346,plain,( 15.57/2.36 0 = div(0,abs(2)) | ~spl15_89), 15.57/2.36 inference(avatar_component_clause,[],[f7345])). 15.57/2.36 tff(f7355,plain,( 15.57/2.36 spl15_90 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7329,f5754,f7353])). 15.57/2.36 tff(f5754,plain,( 15.57/2.36 spl15_81 <=> $less(0,abs(2))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_81])])). 15.57/2.36 tff(f7329,plain,( 15.57/2.36 2 = abs(2) | ~spl15_81), 15.57/2.36 inference(evaluation,[],[f7328])). 15.57/2.36 tff(f7328,plain,( 15.57/2.36 $less(0,$uminus(2)) | 2 = abs(2) | ~spl15_81), 15.57/2.36 inference(superposition,[],[f5755,f607])). 15.57/2.36 tff(f607,plain,( 15.57/2.36 ( ! [X0:$int] : ($uminus(X0) = abs(X0) | abs(X0) = X0) )), 15.57/2.36 inference(resolution,[],[f349,f350])). 15.57/2.36 tff(f5755,plain,( 15.57/2.36 $less(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(avatar_component_clause,[],[f5754])). 15.57/2.36 tff(f7351,plain,( 15.57/2.36 spl15_89 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7350,f5754,f7345])). 15.57/2.36 tff(f7350,plain,( 15.57/2.36 0 = div(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(forward_demodulation,[],[f7330,f551])). 15.57/2.36 tff(f551,plain,( 15.57/2.36 ( ! [X0:$int] : (abs(X0) = abs(abs(X0))) )), 15.57/2.36 inference(resolution,[],[f350,f336])). 15.57/2.36 tff(f336,plain,( 15.57/2.36 ( ! [X0:$int] : (~$less(abs(X0),0)) )), 15.57/2.36 inference(cnf_transformation,[],[f142])). 15.57/2.36 tff(f142,plain,( 15.57/2.36 ! [X0 : $int] : ~$less(abs(X0),0)), 15.57/2.36 inference(rectify,[],[f103])). 15.57/2.36 tff(f103,plain,( 15.57/2.36 ! [X6 : $int] : ~$less(abs(X6),0)), 15.57/2.36 inference(theory_normalization,[],[f55])). 15.57/2.36 tff(f55,axiom,( 15.57/2.36 ! [X6 : $int] : $lesseq(0,abs(X6))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos)). 15.57/2.36 tff(f7330,plain,( 15.57/2.36 0 = div(0,abs(abs(2))) | ~spl15_81), 15.57/2.36 inference(evaluation,[],[f7327])). 15.57/2.36 tff(f7327,plain,( 15.57/2.36 0 = div(0,abs(abs(2))) | $less(0,0) | ~spl15_81), 15.57/2.36 inference(resolution,[],[f5755,f1076])). 15.57/2.36 tff(f1076,plain,( 15.57/2.36 ( ! [X6:$int,X7:$int] : (~$less(X6,X7) | 0 = div(X6,abs(X7)) | $less(X6,0)) )), 15.57/2.36 inference(resolution,[],[f398,f401])). 15.57/2.36 tff(f401,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($less(X1,abs(X0)) | ~$less(X1,X0)) )), 15.57/2.36 inference(cnf_transformation,[],[f311])). 15.57/2.36 tff(f311,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | $less(X0,$uminus(X1)) | $less(X1,X0)) & ((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs(X0))))), 15.57/2.36 inference(flattening,[],[f310])). 15.57/2.36 tff(f310,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | ($less(X0,$uminus(X1)) | $less(X1,X0))) & ((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs(X0))))), 15.57/2.36 inference(nnf_transformation,[],[f187])). 15.57/2.36 tff(f187,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (~$less(X1,abs(X0)) <=> (~$less(X0,$uminus(X1)) & ~$less(X1,X0)))), 15.57/2.36 inference(rectify,[],[f114])). 15.57/2.36 tff(f114,plain,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (~$less(X7,abs(X6)) <=> (~$less(X6,$uminus(X7)) & ~$less(X7,X6)))), 15.57/2.36 inference(theory_normalization,[],[f46])). 15.57/2.36 tff(f46,axiom,( 15.57/2.36 ! [X6 : $int,X7 : $int] : ($lesseq(abs(X6),X7) <=> ($lesseq($uminus(X7),X6) & $lesseq(X6,X7)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le)). 15.57/2.36 tff(f7349,plain,( 15.57/2.36 spl15_88 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7348,f5754,f7341])). 15.57/2.36 tff(f7348,plain,( 15.57/2.36 0 = mod(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(forward_demodulation,[],[f7331,f551])). 15.57/2.36 tff(f7331,plain,( 15.57/2.36 0 = mod(0,abs(abs(2))) | ~spl15_81), 15.57/2.36 inference(evaluation,[],[f7326])). 15.57/2.36 tff(f7326,plain,( 15.57/2.36 $less(0,0) | 0 = mod(0,abs(abs(2))) | ~spl15_81), 15.57/2.36 inference(resolution,[],[f5755,f1033])). 15.57/2.36 tff(f1033,plain,( 15.57/2.36 ( ! [X6:$int,X7:$int] : (~$less(X6,X7) | $less(X6,0) | mod(X6,abs(X7)) = X6) )), 15.57/2.36 inference(resolution,[],[f396,f401])). 15.57/2.36 tff(f396,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | mod(X0,X1) = X0 | $less(X0,0)) )), 15.57/2.36 inference(cnf_transformation,[],[f259])). 15.57/2.36 tff(f259,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))), 15.57/2.36 inference(flattening,[],[f258])). 15.57/2.36 tff(f258,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))), 15.57/2.36 inference(ennf_transformation,[],[f183])). 15.57/2.36 tff(f183,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod(X0,X1) = X0)), 15.57/2.36 inference(rectify,[],[f111])). 15.57/2.36 tff(f111,plain,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (($less(X6,X7) & ~$less(X6,0)) => mod(X6,X7) = X6)), 15.57/2.36 inference(theory_normalization,[],[f57])). 15.57/2.36 tff(f57,axiom,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (($less(X6,X7) & $lesseq(0,X6)) => mod(X6,X7) = X6)), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf)). 15.57/2.36 tff(f7347,plain,( 15.57/2.36 spl15_89 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7333,f5754,f7345])). 15.57/2.36 tff(f7333,plain,( 15.57/2.36 0 = div(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(evaluation,[],[f7322])). 15.57/2.36 tff(f7322,plain,( 15.57/2.36 $less(0,0) | 0 = div(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(resolution,[],[f5755,f398])). 15.57/2.36 tff(f7343,plain,( 15.57/2.36 spl15_88 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7334,f5754,f7341])). 15.57/2.36 tff(f7334,plain,( 15.57/2.36 0 = mod(0,abs(2)) | ~spl15_81), 15.57/2.36 inference(evaluation,[],[f7321])). 15.57/2.36 tff(f7321,plain,( 15.57/2.36 0 = mod(0,abs(2)) | $less(0,0) | ~spl15_81), 15.57/2.36 inference(resolution,[],[f5755,f396])). 15.57/2.36 tff(f7339,plain,( 15.57/2.36 ~spl15_87 | ~spl15_81), 15.57/2.36 inference(avatar_split_clause,[],[f7318,f5754,f7337])). 15.57/2.36 tff(f7337,plain,( 15.57/2.36 spl15_87 <=> $less(abs(2),1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_87])])). 15.57/2.36 tff(f7318,plain,( 15.57/2.36 ~$less(abs(2),1) | ~spl15_81), 15.57/2.36 inference(resolution,[],[f5755,f600])). 15.57/2.36 tff(f600,plain,( 15.57/2.36 ( ! [X5:$int] : (~$less(0,X5) | ~$less(X5,1)) )), 15.57/2.36 inference(superposition,[],[f138,f527])). 15.57/2.36 tff(f527,plain,( 15.57/2.36 ( ! [X0:$int] : ($sum(0,X0) = X0) )), 15.57/2.36 inference(superposition,[],[f121,f123])). 15.57/2.36 tff(f123,plain,( 15.57/2.36 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f138,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f7301,plain,( 15.57/2.36 spl15_86 | ~spl15_82), 15.57/2.36 inference(avatar_split_clause,[],[f7281,f7172,f7299])). 15.57/2.36 tff(f7299,plain,( 15.57/2.36 spl15_86 <=> 1 = $sum(1,$product(2,div(1,2)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_86])])). 15.57/2.36 tff(f7281,plain,( 15.57/2.36 1 = $sum(1,$product(2,div(1,2))) | ~spl15_82), 15.57/2.36 inference(evaluation,[],[f7280])). 15.57/2.36 tff(f7280,plain,( 15.57/2.36 1 = $sum(1,$product(2,div(1,2))) | 0 = 2 | ~spl15_82), 15.57/2.36 inference(superposition,[],[f1398,f7173])). 15.57/2.36 tff(f1398,plain,( 15.57/2.36 ( ! [X2:$int,X3:$int] : ($sum(mod(X3,X2),$product(X2,div(X3,X2))) = X3 | 0 = X2) )), 15.57/2.36 inference(superposition,[],[f374,f121])). 15.57/2.36 tff(f374,plain,( 15.57/2.36 ( ! [X0:$int,X1:$int] : ($sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0 | 0 = X1) )), 15.57/2.36 inference(cnf_transformation,[],[f240])). 15.57/2.36 tff(f240,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : ($sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0 | 0 = X1)), 15.57/2.36 inference(ennf_transformation,[],[f171])). 15.57/2.36 tff(f171,plain,( 15.57/2.36 ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0)), 15.57/2.36 inference(rectify,[],[f88])). 15.57/2.36 tff(f88,axiom,( 15.57/2.36 ! [X6 : $int,X7 : $int] : (0 != X7 => $sum($product(X7,div(X6,X7)),mod(X6,X7)) = X6)), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod)). 15.57/2.36 tff(f7297,plain,( 15.57/2.36 spl15_85 | ~spl15_82), 15.57/2.36 inference(avatar_split_clause,[],[f7283,f7172,f7295])). 15.57/2.36 tff(f7295,plain,( 15.57/2.36 spl15_85 <=> $less($uminus(abs(2)),1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_85])])). 15.57/2.36 tff(f7283,plain,( 15.57/2.36 $less($uminus(abs(2)),1) | ~spl15_82), 15.57/2.36 inference(evaluation,[],[f7275])). 15.57/2.36 tff(f7275,plain,( 15.57/2.36 $less($uminus(abs(2)),1) | 0 = 2 | ~spl15_82), 15.57/2.36 inference(superposition,[],[f376,f7173])). 15.57/2.36 tff(f7293,plain,( 15.57/2.36 spl15_84 | ~spl15_82), 15.57/2.36 inference(avatar_split_clause,[],[f7284,f7172,f7291])). 15.57/2.36 tff(f7291,plain,( 15.57/2.36 spl15_84 <=> $less(1,abs(2))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_84])])). 15.57/2.36 tff(f7284,plain,( 15.57/2.36 $less(1,abs(2)) | ~spl15_82), 15.57/2.36 inference(evaluation,[],[f7274])). 15.57/2.36 tff(f7274,plain,( 15.57/2.36 $less(1,abs(2)) | 0 = 2 | ~spl15_82), 15.57/2.36 inference(superposition,[],[f375,f7173])). 15.57/2.36 tff(f7289,plain,( 15.57/2.36 spl15_83 | ~spl15_82), 15.57/2.36 inference(avatar_split_clause,[],[f7285,f7172,f7287])). 15.57/2.36 tff(f7287,plain,( 15.57/2.36 spl15_83 <=> 1 = $sum($product(2,div(1,2)),1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_83])])). 15.57/2.36 tff(f7285,plain,( 15.57/2.36 1 = $sum($product(2,div(1,2)),1) | ~spl15_82), 15.57/2.36 inference(evaluation,[],[f7273])). 15.57/2.36 tff(f7273,plain,( 15.57/2.36 1 = $sum($product(2,div(1,2)),1) | 0 = 2 | ~spl15_82), 15.57/2.36 inference(superposition,[],[f374,f7173])). 15.57/2.36 tff(f7174,plain,( 15.57/2.36 spl15_82 | ~spl15_53 | ~spl15_56), 15.57/2.36 inference(avatar_split_clause,[],[f7170,f3655,f3634,f7172])). 15.57/2.36 tff(f3634,plain,( 15.57/2.36 spl15_53 <=> sort(elt1,sK12(elt1,t2tb(sK1),nil(elt1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_53])])). 15.57/2.36 tff(f3655,plain,( 15.57/2.36 spl15_56 <=> 0 = num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_56])])). 15.57/2.36 tff(f7170,plain,( 15.57/2.36 1 = mod(1,2) | (~spl15_53 | ~spl15_56)), 15.57/2.36 inference(evaluation,[],[f7159])). 15.57/2.36 tff(f7159,plain,( 15.57/2.36 1 = mod(1,$sum(2,0)) | (~spl15_53 | ~spl15_56)), 15.57/2.36 inference(superposition,[],[f5999,f3656])). 15.57/2.36 tff(f3656,plain,( 15.57/2.36 0 = num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)) | ~spl15_56), 15.57/2.36 inference(avatar_component_clause,[],[f3655])). 15.57/2.36 tff(f5999,plain,( 15.57/2.36 ( ! [X4:uni] : (1 = mod(1,$sum(2,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X4)))) ) | ~spl15_53), 15.57/2.36 inference(evaluation,[],[f5993])). 15.57/2.36 tff(f5993,plain,( 15.57/2.36 ( ! [X4:uni] : ($less(1,0) | 1 = mod(1,$sum($sum(1,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X4)),1))) ) | ~spl15_53), 15.57/2.36 inference(resolution,[],[f5814,f1036])). 15.57/2.36 tff(f1036,plain,( 15.57/2.36 ( ! [X10:$int,X11:$int] : ($less(X11,X10) | $less(X10,0) | mod(X10,$sum(X11,1)) = X10) )), 15.57/2.36 inference(resolution,[],[f396,f130])). 15.57/2.36 tff(f5814,plain,( 15.57/2.36 ( ! [X10:uni] : (~$less($sum(1,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X10)),1)) ) | ~spl15_53), 15.57/2.36 inference(resolution,[],[f4692,f600])). 15.57/2.36 tff(f4692,plain,( 15.57/2.36 ( ! [X25:uni] : ($less(0,$sum(1,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X25)))) ) | ~spl15_53), 15.57/2.36 inference(forward_demodulation,[],[f4673,f3648])). 15.57/2.36 tff(f3648,plain,( 15.57/2.36 ( ! [X9:uni] : (num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X9)) = $sum(1,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X9))) ) | ~spl15_53), 15.57/2.36 inference(resolution,[],[f3635,f473])). 15.57/2.36 tff(f473,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni] : (~sort(X0,X2) | num_occ(X0,X2,cons(X0,X2,X3)) = $sum(1,num_occ(X0,X2,X3))) )), 15.57/2.36 inference(duplicate_literal_removal,[],[f470])). 15.57/2.36 tff(f470,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni] : (num_occ(X0,X2,cons(X0,X2,X3)) = $sum(1,num_occ(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 15.57/2.36 inference(equality_resolution,[],[f382])). 15.57/2.36 tff(f382,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (num_occ(X0,X1,cons(X0,X2,X3)) = $sum(1,num_occ(X0,X1,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f243])). 15.57/2.36 tff(f243,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((num_occ(X0,X1,cons(X0,X2,X3)) = $sum(0,num_occ(X0,X1,X3)) | X1 = X2) & (num_occ(X0,X1,cons(X0,X2,X3)) = $sum(1,num_occ(X0,X1,X3)) | X1 != X2)) | ~sort(X0,X2)) & 0 = num_occ(X0,X1,nil(X0))) | ~sort(X0,X1))), 15.57/2.36 inference(ennf_transformation,[],[f174])). 15.57/2.36 tff(f174,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (! [X2 : uni,X3 : uni] : (sort(X0,X2) => ((X1 != X2 => num_occ(X0,X1,cons(X0,X2,X3)) = $sum(0,num_occ(X0,X1,X3))) & (X1 = X2 => num_occ(X0,X1,cons(X0,X2,X3)) = $sum(1,num_occ(X0,X1,X3))))) & 0 = num_occ(X0,X1,nil(X0))))), 15.57/2.36 inference(rectify,[],[f11])). 15.57/2.36 tff(f11,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni] : (sort(X0,X6) => (! [X8 : uni,X10 : uni] : (sort(X0,X8) => ((X6 != X8 => num_occ(X0,X6,cons(X0,X8,X10)) = $sum(0,num_occ(X0,X6,X10))) & (X6 = X8 => $sum(1,num_occ(X0,X6,X10)) = num_occ(X0,X6,cons(X0,X8,X10))))) & 0 = num_occ(X0,X6,nil(X0))))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_occ_def)). 15.57/2.36 tff(f3635,plain,( 15.57/2.36 sort(elt1,sK12(elt1,t2tb(sK1),nil(elt1))) | ~spl15_53), 15.57/2.36 inference(avatar_component_clause,[],[f3634])). 15.57/2.36 tff(f4673,plain,( 15.57/2.36 ( ! [X25:uni] : ($less(0,num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),X25)))) ) | ~spl15_53), 15.57/2.36 inference(resolution,[],[f926,f3635])). 15.57/2.36 tff(f926,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (~sort(X0,X1) | $less(0,num_occ(X0,X1,cons(X0,X1,X2)))) )), 15.57/2.36 inference(resolution,[],[f474,f443])). 15.57/2.36 tff(f474,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 15.57/2.36 inference(duplicate_literal_removal,[],[f469])). 15.57/2.36 tff(f469,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 15.57/2.36 inference(equality_resolution,[],[f379])). 15.57/2.36 tff(f379,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f304])). 15.57/2.36 tff(f5756,plain,( 15.57/2.36 spl15_81 | ~spl15_78), 15.57/2.36 inference(avatar_split_clause,[],[f5741,f5611,f5754])). 15.57/2.36 tff(f5741,plain,( 15.57/2.36 $less(0,abs(2)) | ~spl15_78), 15.57/2.36 inference(evaluation,[],[f5740])). 15.57/2.36 tff(f5740,plain,( 15.57/2.36 $less(0,abs(2)) | 0 = 2 | ~spl15_78), 15.57/2.36 inference(superposition,[],[f375,f5612])). 15.57/2.36 tff(f5752,plain,( 15.57/2.36 spl15_80 | ~spl15_78), 15.57/2.36 inference(avatar_split_clause,[],[f5742,f5611,f5750])). 15.57/2.36 tff(f5750,plain,( 15.57/2.36 spl15_80 <=> $less($uminus(abs(2)),0)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_80])])). 15.57/2.36 tff(f5742,plain,( 15.57/2.36 $less($uminus(abs(2)),0) | ~spl15_78), 15.57/2.36 inference(evaluation,[],[f5739])). 15.57/2.36 tff(f5739,plain,( 15.57/2.36 $less($uminus(abs(2)),0) | 0 = 2 | ~spl15_78), 15.57/2.36 inference(superposition,[],[f376,f5612])). 15.57/2.36 tff(f5748,plain,( 15.57/2.36 spl15_79 | ~spl15_78), 15.57/2.36 inference(avatar_split_clause,[],[f5743,f5611,f5746])). 15.57/2.36 tff(f5746,plain,( 15.57/2.36 spl15_79 <=> 0 = $sum($product(2,div(0,2)),0)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_79])])). 15.57/2.36 tff(f5743,plain,( 15.57/2.36 0 = $sum($product(2,div(0,2)),0) | ~spl15_78), 15.57/2.36 inference(evaluation,[],[f5736])). 15.57/2.36 tff(f5736,plain,( 15.57/2.36 0 = $sum($product(2,div(0,2)),0) | 0 = 2 | ~spl15_78), 15.57/2.36 inference(superposition,[],[f374,f5612])). 15.57/2.36 tff(f5613,plain,( 15.57/2.36 spl15_78 | ~spl15_61 | ~spl15_74), 15.57/2.36 inference(avatar_split_clause,[],[f5609,f4248,f3708,f5611])). 15.57/2.36 tff(f3708,plain,( 15.57/2.36 spl15_61 <=> $less(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_61])])). 15.57/2.36 tff(f4248,plain,( 15.57/2.36 spl15_74 <=> 1 = num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_74])])). 15.57/2.36 tff(f5609,plain,( 15.57/2.36 0 = mod(0,2) | (~spl15_61 | ~spl15_74)), 15.57/2.36 inference(evaluation,[],[f5586])). 15.57/2.36 tff(f5586,plain,( 15.57/2.36 0 = mod(0,$sum(1,1)) | (~spl15_61 | ~spl15_74)), 15.57/2.36 inference(resolution,[],[f4391,f126])). 15.57/2.36 tff(f126,plain,( 15.57/2.36 ( ! [X0:$int] : (~$less(X0,X0)) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f4391,plain,( 15.57/2.36 ( ! [X16:$int] : ($less(X16,1) | 0 = mod(0,$sum(X16,1))) ) | (~spl15_61 | ~spl15_74)), 15.57/2.36 inference(evaluation,[],[f4382])). 15.57/2.36 tff(f4382,plain,( 15.57/2.36 ( ! [X16:$int] : ($less(X16,1) | 0 = mod(0,$sum(X16,1)) | $less(0,0)) ) | (~spl15_61 | ~spl15_74)), 15.57/2.36 inference(resolution,[],[f4296,f396])). 15.57/2.36 tff(f4296,plain,( 15.57/2.36 ( ! [X8:$int] : ($less(0,$sum(X8,1)) | $less(X8,1)) ) | (~spl15_61 | ~spl15_74)), 15.57/2.36 inference(backward_demodulation,[],[f4212,f4249])). 15.57/2.36 tff(f4249,plain,( 15.57/2.36 1 = num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) | ~spl15_74), 15.57/2.36 inference(avatar_component_clause,[],[f4248])). 15.57/2.36 tff(f4212,plain,( 15.57/2.36 ( ! [X8:$int] : ($less(0,$sum(X8,1)) | $less(X8,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))) ) | ~spl15_61), 15.57/2.36 inference(resolution,[],[f3709,f658])). 15.57/2.36 tff(f658,plain,( 15.57/2.36 ( ! [X6:$int,X7:$int,X5:$int] : (~$less(X5,X6) | $less(X5,$sum(X7,1)) | $less(X7,X6)) )), 15.57/2.36 inference(resolution,[],[f127,f130])). 15.57/2.36 tff(f3709,plain,( 15.57/2.36 $less(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(avatar_component_clause,[],[f3708])). 15.57/2.36 tff(f4292,plain,( 15.57/2.36 spl15_77 | ~spl15_75), 15.57/2.36 inference(avatar_split_clause,[],[f4282,f4251,f4290])). 15.57/2.36 tff(f4290,plain,( 15.57/2.36 spl15_77 <=> 1 = mod(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_77])])). 15.57/2.36 tff(f4251,plain,( 15.57/2.36 spl15_75 <=> $less(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_75])])). 15.57/2.36 tff(f4282,plain,( 15.57/2.36 1 = mod(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_75), 15.57/2.36 inference(evaluation,[],[f4280])). 15.57/2.36 tff(f4280,plain,( 15.57/2.36 1 = mod(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | $less(1,0) | ~spl15_75), 15.57/2.36 inference(resolution,[],[f4252,f396])). 15.57/2.36 tff(f4252,plain,( 15.57/2.36 $less(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_75), 15.57/2.36 inference(avatar_component_clause,[],[f4251])). 15.57/2.36 tff(f4288,plain,( 15.57/2.36 spl15_76 | ~spl15_75), 15.57/2.36 inference(avatar_split_clause,[],[f4283,f4251,f4286])). 15.57/2.36 tff(f4286,plain,( 15.57/2.36 spl15_76 <=> 0 = div(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_76])])). 15.57/2.36 tff(f4283,plain,( 15.57/2.36 0 = div(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_75), 15.57/2.36 inference(evaluation,[],[f4279])). 15.57/2.36 tff(f4279,plain,( 15.57/2.36 $less(1,0) | 0 = div(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_75), 15.57/2.36 inference(resolution,[],[f4252,f398])). 15.57/2.36 tff(f4254,plain,( 15.57/2.36 spl15_74 | spl15_75 | spl15_69), 15.57/2.36 inference(avatar_split_clause,[],[f4242,f4222,f4251,f4248])). 15.57/2.36 tff(f4222,plain,( 15.57/2.36 spl15_69 <=> $less(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_69])])). 15.57/2.36 tff(f4242,plain,( 15.57/2.36 $less(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | 1 = num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) | spl15_69), 15.57/2.36 inference(resolution,[],[f4223,f128])). 15.57/2.36 tff(f4223,plain,( 15.57/2.36 ~$less(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),1) | spl15_69), 15.57/2.36 inference(avatar_component_clause,[],[f4222])). 15.57/2.36 tff(f4253,plain,( 15.57/2.36 spl15_74 | spl15_75 | spl15_69), 15.57/2.36 inference(avatar_split_clause,[],[f4241,f4222,f4251,f4248])). 15.57/2.36 tff(f4241,plain,( 15.57/2.36 $less(1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | 1 = num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) | spl15_69), 15.57/2.36 inference(resolution,[],[f4223,f128])). 15.57/2.36 tff(f4246,plain,( 15.57/2.36 spl15_73 | ~spl15_9 | ~spl15_13 | spl15_69), 15.57/2.36 inference(avatar_split_clause,[],[f4239,f4222,f695,f615,f4244])). 15.57/2.36 tff(f4244,plain,( 15.57/2.36 spl15_73 <=> $less(-1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_73])])). 15.57/2.36 tff(f615,plain,( 15.57/2.36 spl15_9 <=> $less(0,abs(1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_9])])). 15.57/2.36 tff(f695,plain,( 15.57/2.36 spl15_13 <=> 1 = abs(1)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_13])])). 15.57/2.36 tff(f4239,plain,( 15.57/2.36 $less(-1,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | (~spl15_9 | ~spl15_13 | spl15_69)), 15.57/2.36 inference(resolution,[],[f4223,f901])). 15.57/2.36 tff(f901,plain,( 15.57/2.36 ( ! [X0:$int] : ($less(X0,1) | $less(-1,X0)) ) | (~spl15_9 | ~spl15_13)), 15.57/2.36 inference(resolution,[],[f698,f590])). 15.57/2.36 tff(f590,plain,( 15.57/2.36 ( ! [X4:$int] : ($less(X4,0) | $less(-1,X4)) )), 15.57/2.36 inference(evaluation,[],[f588])). 15.57/2.36 tff(f588,plain,( 15.57/2.36 ( ! [X4:$int] : ($less(X4,0) | $less($uminus(1),X4)) )), 15.57/2.36 inference(superposition,[],[f130,f518])). 15.57/2.36 tff(f518,plain,( 15.57/2.36 ( ! [X0:$int] : (0 = $sum($uminus(X0),X0)) )), 15.57/2.36 inference(superposition,[],[f125,f131])). 15.57/2.36 tff(f131,plain,( 15.57/2.36 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f125,plain,( 15.57/2.36 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 15.57/2.36 introduced(theory_axiom,[])). 15.57/2.36 tff(f698,plain,( 15.57/2.36 ( ! [X18:$int] : (~$less(X18,0) | $less(X18,1)) ) | (~spl15_9 | ~spl15_13)), 15.57/2.36 inference(backward_demodulation,[],[f664,f696])). 15.57/2.36 tff(f696,plain,( 15.57/2.36 1 = abs(1) | ~spl15_13), 15.57/2.36 inference(avatar_component_clause,[],[f695])). 15.57/2.36 tff(f664,plain,( 15.57/2.36 ( ! [X18:$int] : (~$less(X18,0) | $less(X18,abs(1))) ) | ~spl15_9), 15.57/2.36 inference(resolution,[],[f127,f616])). 15.57/2.36 tff(f616,plain,( 15.57/2.36 $less(0,abs(1)) | ~spl15_9), 15.57/2.36 inference(avatar_component_clause,[],[f615])). 15.57/2.36 tff(f4236,plain,( 15.57/2.36 spl15_72 | ~spl15_61), 15.57/2.36 inference(avatar_split_clause,[],[f4217,f3708,f4234])). 15.57/2.36 tff(f4234,plain,( 15.57/2.36 spl15_72 <=> 0 = mod(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_72])])). 15.57/2.36 tff(f4217,plain,( 15.57/2.36 0 = mod(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(evaluation,[],[f4215])). 15.57/2.36 tff(f4215,plain,( 15.57/2.36 0 = mod(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | $less(0,0) | ~spl15_61), 15.57/2.36 inference(resolution,[],[f3709,f396])). 15.57/2.36 tff(f4232,plain,( 15.57/2.36 spl15_71 | ~spl15_61), 15.57/2.36 inference(avatar_split_clause,[],[f4218,f3708,f4230])). 15.57/2.36 tff(f4230,plain,( 15.57/2.36 spl15_71 <=> 0 = div(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_71])])). 15.57/2.36 tff(f4218,plain,( 15.57/2.36 0 = div(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(evaluation,[],[f4214])). 15.57/2.36 tff(f4214,plain,( 15.57/2.36 $less(0,0) | 0 = div(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(resolution,[],[f3709,f398])). 15.57/2.36 tff(f4228,plain,( 15.57/2.36 spl15_70 | ~spl15_61), 15.57/2.36 inference(avatar_split_clause,[],[f4219,f3708,f4226])). 15.57/2.36 tff(f4226,plain,( 15.57/2.36 spl15_70 <=> num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) = abs(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_70])])). 15.57/2.36 tff(f4219,plain,( 15.57/2.36 num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) = abs(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(evaluation,[],[f4213])). 15.57/2.36 tff(f4213,plain,( 15.57/2.36 $less(0,0) | num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) = abs(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_61), 15.57/2.36 inference(resolution,[],[f3709,f662])). 15.57/2.36 tff(f4224,plain,( 15.57/2.36 ~spl15_69 | ~spl15_61), 15.57/2.36 inference(avatar_split_clause,[],[f4211,f3708,f4222])). 15.57/2.36 tff(f4211,plain,( 15.57/2.36 ~$less(num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),1) | ~spl15_61), 15.57/2.36 inference(resolution,[],[f3709,f600])). 15.57/2.36 tff(f3924,plain,( 15.57/2.36 spl15_66 | spl15_67 | spl15_68 | ~spl15_65), 15.57/2.36 inference(avatar_split_clause,[],[f3914,f3858,f3922,f3919,f3916])). 15.57/2.36 tff(f3916,plain,( 15.57/2.36 spl15_66 <=> tb2t(nil(elt1)) = tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_66])])). 15.57/2.36 tff(f3919,plain,( 15.57/2.36 spl15_67 <=> tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK3(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),cons(elt1,t2tb1(sK4(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),t2tb(sK5(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_67])])). 15.57/2.36 tff(f3922,plain,( 15.57/2.36 spl15_68 <=> tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK2(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),nil(elt1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_68])])). 15.57/2.36 tff(f3858,plain,( 15.57/2.36 spl15_65 <=> sorted(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_65])])). 15.57/2.36 tff(f3914,plain,( 15.57/2.36 tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK2(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),nil(elt1))) | tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK3(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),cons(elt1,t2tb1(sK4(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))))),t2tb(sK5(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)))))))) | tb2t(nil(elt1)) = tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1))) | ~spl15_65), 15.57/2.36 inference(resolution,[],[f3859,f354])). 15.57/2.36 tff(f354,plain,( 15.57/2.36 ( ! [X0:list_elt] : (~sorted(X0) | tb2t(cons(elt1,t2tb1(sK2(X0)),nil(elt1))) = X0 | tb2t(cons(elt1,t2tb1(sK3(X0)),cons(elt1,t2tb1(sK4(X0)),t2tb(sK5(X0))))) = X0 | tb2t(nil(elt1)) = X0) )), 15.57/2.36 inference(cnf_transformation,[],[f302])). 15.57/2.36 tff(f302,plain,( 15.57/2.36 ! [X0 : list_elt] : (tb2t(nil(elt1)) = X0 | tb2t(cons(elt1,t2tb1(sK2(X0)),nil(elt1))) = X0 | (le(sK3(X0),sK4(X0)) & sorted(tb2t(cons(elt1,t2tb1(sK4(X0)),t2tb(sK5(X0))))) & tb2t(cons(elt1,t2tb1(sK3(X0)),cons(elt1,t2tb1(sK4(X0)),t2tb(sK5(X0))))) = X0) | ~sorted(X0))), 15.57/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f237,f301,f300])). 15.57/2.36 tff(f300,plain,( 15.57/2.36 ! [X0 : list_elt] : (? [X1 : elt] : tb2t(cons(elt1,t2tb1(X1),nil(elt1))) = X0 => tb2t(cons(elt1,t2tb1(sK2(X0)),nil(elt1))) = X0)), 15.57/2.36 introduced(choice_axiom,[])). 15.57/2.36 tff(f301,plain,( 15.57/2.36 ! [X0 : list_elt] : (? [X2 : elt,X3 : elt,X4 : list_elt] : (le(X2,X3) & sorted(tb2t(cons(elt1,t2tb1(X3),t2tb(X4)))) & tb2t(cons(elt1,t2tb1(X2),cons(elt1,t2tb1(X3),t2tb(X4)))) = X0) => (le(sK3(X0),sK4(X0)) & sorted(tb2t(cons(elt1,t2tb1(sK4(X0)),t2tb(sK5(X0))))) & tb2t(cons(elt1,t2tb1(sK3(X0)),cons(elt1,t2tb1(sK4(X0)),t2tb(sK5(X0))))) = X0))), 15.57/2.36 introduced(choice_axiom,[])). 15.57/2.36 tff(f237,plain,( 15.57/2.36 ! [X0 : list_elt] : (tb2t(nil(elt1)) = X0 | ? [X1 : elt] : tb2t(cons(elt1,t2tb1(X1),nil(elt1))) = X0 | ? [X2 : elt,X3 : elt,X4 : list_elt] : (le(X2,X3) & sorted(tb2t(cons(elt1,t2tb1(X3),t2tb(X4)))) & tb2t(cons(elt1,t2tb1(X2),cons(elt1,t2tb1(X3),t2tb(X4)))) = X0) | ~sorted(X0))), 15.57/2.36 inference(flattening,[],[f236])). 15.57/2.36 tff(f236,plain,( 15.57/2.36 ! [X0 : list_elt] : ((tb2t(nil(elt1)) = X0 | ? [X1 : elt] : tb2t(cons(elt1,t2tb1(X1),nil(elt1))) = X0 | ? [X2 : elt,X3 : elt,X4 : list_elt] : (le(X2,X3) & sorted(tb2t(cons(elt1,t2tb1(X3),t2tb(X4)))) & tb2t(cons(elt1,t2tb1(X2),cons(elt1,t2tb1(X3),t2tb(X4)))) = X0)) | ~sorted(X0))), 15.57/2.36 inference(ennf_transformation,[],[f155])). 15.57/2.36 tff(f155,plain,( 15.57/2.36 ! [X0 : list_elt] : (sorted(X0) => (tb2t(nil(elt1)) = X0 | ? [X1 : elt] : tb2t(cons(elt1,t2tb1(X1),nil(elt1))) = X0 | ? [X2 : elt,X3 : elt,X4 : list_elt] : (le(X2,X3) & sorted(tb2t(cons(elt1,t2tb1(X3),t2tb(X4)))) & tb2t(cons(elt1,t2tb1(X2),cons(elt1,t2tb1(X3),t2tb(X4)))) = X0)))), 15.57/2.36 inference(rectify,[],[f71])). 15.57/2.36 tff(f71,axiom,( 15.57/2.36 ! [X2 : list_elt] : (sorted(X2) => (tb2t(nil(elt1)) = X2 | ? [X6 : elt] : tb2t(cons(elt1,t2tb1(X6),nil(elt1))) = X2 | ? [X6 : elt,X7 : elt,X9 : list_elt] : (le(X6,X7) & sorted(tb2t(cons(elt1,t2tb1(X7),t2tb(X9)))) & tb2t(cons(elt1,t2tb1(X6),cons(elt1,t2tb1(X7),t2tb(X9)))) = X2)))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_inversion)). 15.57/2.36 tff(f3859,plain,( 15.57/2.36 sorted(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)))) | ~spl15_65), 15.57/2.36 inference(avatar_component_clause,[],[f3858])). 15.57/2.36 tff(f3860,plain,( 15.57/2.36 spl15_65 | ~spl15_55), 15.57/2.36 inference(avatar_split_clause,[],[f3846,f3651,f3858])). 15.57/2.36 tff(f3651,plain,( 15.57/2.36 spl15_55 <=> sK12(elt1,t2tb(sK1),nil(elt1)) = t2tb1(tb2t1(sK12(elt1,t2tb(sK1),nil(elt1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_55])])). 15.57/2.36 tff(f3846,plain,( 15.57/2.36 sorted(tb2t(cons(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)))) | ~spl15_55), 15.57/2.36 inference(superposition,[],[f346,f3652])). 15.57/2.36 tff(f3652,plain,( 15.57/2.36 sK12(elt1,t2tb(sK1),nil(elt1)) = t2tb1(tb2t1(sK12(elt1,t2tb(sK1),nil(elt1)))) | ~spl15_55), 15.57/2.36 inference(avatar_component_clause,[],[f3651])). 15.57/2.36 tff(f346,plain,( 15.57/2.36 ( ! [X0:elt] : (sorted(tb2t(cons(elt1,t2tb1(X0),nil(elt1))))) )), 15.57/2.36 inference(cnf_transformation,[],[f150])). 15.57/2.36 tff(f150,plain,( 15.57/2.36 ! [X0 : elt] : sorted(tb2t(cons(elt1,t2tb1(X0),nil(elt1))))), 15.57/2.36 inference(rectify,[],[f95])). 15.57/2.36 tff(f95,axiom,( 15.57/2.36 ! [X6 : elt] : sorted(tb2t(cons(elt1,t2tb1(X6),nil(elt1))))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_One)). 15.57/2.36 tff(f3808,plain,( 15.57/2.36 spl15_63), 15.57/2.36 inference(avatar_contradiction_clause,[],[f3807])). 15.57/2.36 tff(f3807,plain,( 15.57/2.36 $false | spl15_63), 15.57/2.36 inference(resolution,[],[f3763,f360])). 15.57/2.36 tff(f360,plain,( 15.57/2.36 ( ! [X0:ty,X1:uni] : (sort(X0,cons_proj_1(X0,X1))) )), 15.57/2.36 inference(cnf_transformation,[],[f159])). 15.57/2.36 tff(f159,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni] : sort(X0,cons_proj_1(X0,X1))), 15.57/2.36 inference(rectify,[],[f52])). 15.57/2.36 tff(f52,axiom,( 15.57/2.36 ! [X0 : ty,X6 : uni] : sort(X0,cons_proj_1(X0,X6))), 15.57/2.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_sort)). 15.57/2.36 tff(f3763,plain,( 15.57/2.36 ~sort(elt1,cons_proj_1(elt1,t2tb(sK1))) | spl15_63), 15.57/2.36 inference(avatar_component_clause,[],[f3762])). 15.57/2.36 tff(f3768,plain,( 15.57/2.36 spl15_23 | ~spl15_3 | ~spl15_11), 15.57/2.36 inference(avatar_split_clause,[],[f1878,f637,f483,f1828])). 15.57/2.36 tff(f1828,plain,( 15.57/2.36 spl15_23 <=> ! [X1 : uni,X0 : uni] : (sort(elt1,sK12(elt1,X0,t2tb(sK1))) | ~permut(elt1,X1,t2tb(sK1)) | permut(elt1,X0,X1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_23])])). 15.57/2.36 tff(f1878,plain,( 15.57/2.36 ( ! [X0:uni,X1:uni] : (sort(elt1,sK12(elt1,X0,t2tb(sK1))) | permut(elt1,X0,X1) | ~permut(elt1,X1,t2tb(sK1))) ) | (~spl15_3 | ~spl15_11)), 15.57/2.36 inference(resolution,[],[f1779,f1378])). 15.57/2.36 tff(f1779,plain,( 15.57/2.36 ( ! [X17:uni] : (permut(elt1,X17,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | sort(elt1,sK12(elt1,X17,t2tb(sK1)))) ) | (~spl15_3 | ~spl15_11)), 15.57/2.36 inference(resolution,[],[f1713,f438])). 15.57/2.36 tff(f1713,plain,( 15.57/2.36 ( ! [X0:uni] : (permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),X0) | sort(elt1,sK12(elt1,X0,t2tb(sK1)))) ) | (~spl15_3 | ~spl15_11)), 15.57/2.36 inference(resolution,[],[f1710,f484])). 15.57/2.36 tff(f3767,plain,( 15.57/2.36 ~spl15_63 | spl15_64 | ~spl15_57), 15.57/2.36 inference(avatar_split_clause,[],[f3754,f3688,f3765,f3762])). 15.57/2.36 tff(f3765,plain,( 15.57/2.36 spl15_64 <=> ! [X7 : uni,X6 : uni] : (sort(elt1,sK12(elt1,cons(elt1,X6,X7),t2tb(sK1))) | ~sort(elt1,X6) | mem(elt1,cons_proj_1(elt1,t2tb(sK1)),X7) | cons_proj_1(elt1,t2tb(sK1)) = X6)), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_64])])). 15.57/2.36 tff(f3754,plain,( 15.57/2.36 ( ! [X6:uni,X7:uni] : (sort(elt1,sK12(elt1,cons(elt1,X6,X7),t2tb(sK1))) | cons_proj_1(elt1,t2tb(sK1)) = X6 | mem(elt1,cons_proj_1(elt1,t2tb(sK1)),X7) | ~sort(elt1,X6) | ~sort(elt1,cons_proj_1(elt1,t2tb(sK1)))) ) | ~spl15_57), 15.57/2.36 inference(resolution,[],[f3689,f378])). 15.57/2.36 tff(f378,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,cons(X0,X2,X3)) | X1 = X2 | mem(X0,X1,X3) | ~sort(X0,X2) | ~sort(X0,X1)) )), 15.57/2.36 inference(cnf_transformation,[],[f304])). 15.57/2.36 tff(f3760,plain,( 15.57/2.36 spl15_62 | spl15_24 | ~spl15_3 | ~spl15_57), 15.57/2.36 inference(avatar_split_clause,[],[f3747,f3688,f483,f1831,f3758])). 15.57/2.36 tff(f3758,plain,( 15.57/2.36 spl15_62 <=> mem(elt1,cons_proj_1(elt1,t2tb(sK1)),t2tb(sK1))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_62])])). 15.57/2.36 tff(f1831,plain,( 15.57/2.36 spl15_24 <=> sort(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_24])])). 15.57/2.36 tff(f3747,plain,( 15.57/2.36 sort(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))) | mem(elt1,cons_proj_1(elt1,t2tb(sK1)),t2tb(sK1)) | (~spl15_3 | ~spl15_57)), 15.57/2.36 inference(resolution,[],[f3689,f1249])). 15.57/2.36 tff(f3710,plain,( 15.57/2.36 spl15_61 | ~spl15_59), 15.57/2.36 inference(avatar_split_clause,[],[f3702,f3695,f3708])). 15.57/2.36 tff(f3702,plain,( 15.57/2.36 $less(0,num_occ(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))) | ~spl15_59), 15.57/2.36 inference(resolution,[],[f3696,f443])). 15.57/2.36 tff(f3706,plain,( 15.57/2.36 spl15_60 | ~spl15_59), 15.57/2.36 inference(avatar_split_clause,[],[f3699,f3695,f3704])). 15.57/2.36 tff(f3704,plain,( 15.57/2.36 spl15_60 <=> t2tb(sK1) = infix_plpl(elt1,sK13(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),cons(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),sK14(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1))))), 15.57/2.36 introduced(avatar_definition,[new_symbols(naming,[spl15_60])])). 15.57/2.36 tff(f3699,plain,( 15.57/2.36 t2tb(sK1) = infix_plpl(elt1,sK13(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)),cons(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),sK14(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)))) | ~spl15_59), 15.57/2.36 inference(resolution,[],[f3696,f436])). 15.57/2.36 tff(f436,plain,( 15.57/2.36 ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,X1,X2) | infix_plpl(X0,sK13(X0,X1,X2),cons(X0,X1,sK14(X0,X1,X2))) = X2) )), 15.57/2.36 inference(cnf_transformation,[],[f325])). 15.57/2.36 tff(f325,plain,( 15.57/2.36 ! [X0 : ty,X1 : uni,X2 : uni] : ((sort(list(X0),sK14(X0,X1,X2)) & infix_plpl(X0,sK13(X0,X1,X2),cons(X0,X1,sK14(X0,X1,X2))) = X2 & sort(list(X0),sK13(X0,X1,X2))) | ~mem(X0,X1,X2))), 15.57/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f277,f324])). 15.57/2.36 tff(f324,plain,( 15.57/2.36 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)) => (sort(list(X0),sK14(X0,X1,X2)) & infix_plpl(X0,sK13(X0,X1,X2),cons(X0,X1,sK14(X0,X1,X2))) = X2 & sort(list(X0),sK13(X0,X1,X2))))), 15.57/2.36 introduced(choice_axiom,[])). 15.57/2.37 tff(f277,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)) | ~mem(X0,X1,X2))), 15.57/2.37 inference(ennf_transformation,[],[f209])). 15.57/2.37 tff(f209,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => ? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)))), 15.57/2.37 inference(rectify,[],[f40])). 15.57/2.37 tff(f40,axiom,( 15.57/2.37 ! [X0 : ty,X6 : uni,X9 : uni] : (mem(X0,X6,X9) => ? [X11 : uni,X12 : uni] : (sort(list(X0),X12) & infix_plpl(X0,X11,cons(X0,X6,X12)) = X9 & sort(list(X0),X11)))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_decomp)). 15.57/2.37 tff(f3697,plain,( 15.57/2.37 spl15_59 | spl15_19 | ~spl15_3), 15.57/2.37 inference(avatar_split_clause,[],[f3684,f483,f1189,f3695])). 15.57/2.37 tff(f3684,plain,( 15.57/2.37 nil(elt1) = prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)) | mem(elt1,cons_proj_1(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),t2tb(sK1)) | ~spl15_3), 15.57/2.37 inference(resolution,[],[f1390,f1249])). 15.57/2.37 tff(f1390,plain,( 15.57/2.37 ( ! [X2:ty,X3:uni] : (mem(X2,cons_proj_1(X2,X3),X3) | nil(X2) = X3) )), 15.57/2.37 inference(global_subsumption,[],[f360,f1386])). 15.57/2.37 tff(f1386,plain,( 15.57/2.37 ( ! [X2:ty,X3:uni] : (mem(X2,cons_proj_1(X2,X3),X3) | ~sort(X2,cons_proj_1(X2,X3)) | nil(X2) = X3) )), 15.57/2.37 inference(superposition,[],[f474,f372])). 15.57/2.37 tff(f3693,plain,( 15.57/2.37 spl15_57 | spl15_58 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f3683,f637,f3691,f3688])). 15.57/2.37 tff(f3683,plain,( 15.57/2.37 ( ! [X19:uni] : (nil(elt1) = t2tb(sK1) | mem(elt1,cons_proj_1(elt1,t2tb(sK1)),X19) | sort(elt1,sK12(elt1,X19,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1390,f1935])). 15.57/2.37 tff(f1935,plain,( 15.57/2.37 ( ! [X10:uni,X9:uni] : (~mem(elt1,X9,t2tb(sK1)) | mem(elt1,X9,X10) | sort(elt1,sK12(elt1,X10,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1900,f427])). 15.57/2.37 tff(f3657,plain,( 15.57/2.37 spl15_56 | ~spl15_53), 15.57/2.37 inference(avatar_split_clause,[],[f3642,f3634,f3655])). 15.57/2.37 tff(f3642,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,t2tb(sK1),nil(elt1)),nil(elt1)) | ~spl15_53), 15.57/2.37 inference(resolution,[],[f3635,f381])). 15.57/2.37 tff(f381,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (~sort(X0,X1) | 0 = num_occ(X0,X1,nil(X0))) )), 15.57/2.37 inference(cnf_transformation,[],[f243])). 15.57/2.37 tff(f3653,plain,( 15.57/2.37 spl15_55 | ~spl15_53), 15.57/2.37 inference(avatar_split_clause,[],[f3641,f3634,f3651])). 15.57/2.37 tff(f3641,plain,( 15.57/2.37 sK12(elt1,t2tb(sK1),nil(elt1)) = t2tb1(tb2t1(sK12(elt1,t2tb(sK1),nil(elt1)))) | ~spl15_53), 15.57/2.37 inference(resolution,[],[f3635,f357])). 15.57/2.37 tff(f357,plain,( 15.57/2.37 ( ! [X0:uni] : (~sort(elt1,X0) | t2tb1(tb2t1(X0)) = X0) )), 15.57/2.37 inference(cnf_transformation,[],[f238])). 15.57/2.37 tff(f238,plain,( 15.57/2.37 ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0 | ~sort(elt1,X0))), 15.57/2.37 inference(ennf_transformation,[],[f156])). 15.57/2.37 tff(f156,plain,( 15.57/2.37 ! [X0 : uni] : (sort(elt1,X0) => t2tb1(tb2t1(X0)) = X0)), 15.57/2.37 inference(rectify,[],[f99])). 15.57/2.37 tff(f99,axiom,( 15.57/2.37 ! [X21 : uni] : (sort(elt1,X21) => t2tb1(tb2t1(X21)) = X21)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 15.57/2.37 tff(f3640,plain,( 15.57/2.37 spl15_54 | spl15_7), 15.57/2.37 inference(avatar_split_clause,[],[f3626,f509,f3638])). 15.57/2.37 tff(f3626,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | spl15_7), 15.57/2.37 inference(resolution,[],[f834,f510])). 15.57/2.37 tff(f834,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : (permut(X0,X2,X1) | sort(X0,sK12(X0,X1,X2))) )), 15.57/2.37 inference(resolution,[],[f427,f438])). 15.57/2.37 tff(f3636,plain,( 15.57/2.37 spl15_53 | spl15_36), 15.57/2.37 inference(avatar_split_clause,[],[f3625,f2961,f3634])). 15.57/2.37 tff(f2961,plain,( 15.57/2.37 spl15_36 <=> permut(elt1,nil(elt1),t2tb(sK1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_36])])). 15.57/2.37 tff(f3625,plain,( 15.57/2.37 sort(elt1,sK12(elt1,t2tb(sK1),nil(elt1))) | spl15_36), 15.57/2.37 inference(resolution,[],[f834,f3221])). 15.57/2.37 tff(f3221,plain,( 15.57/2.37 ~permut(elt1,nil(elt1),t2tb(sK1)) | spl15_36), 15.57/2.37 inference(avatar_component_clause,[],[f2961])). 15.57/2.37 tff(f3395,plain,( 15.57/2.37 spl15_52 | ~spl15_49), 15.57/2.37 inference(avatar_split_clause,[],[f3391,f3298,f3393])). 15.57/2.37 tff(f3393,plain,( 15.57/2.37 spl15_52 <=> nil(elt1) = cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_52])])). 15.57/2.37 tff(f3298,plain,( 15.57/2.37 spl15_49 <=> tb2t(nil(elt1)) = tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_49])])). 15.57/2.37 tff(f3391,plain,( 15.57/2.37 nil(elt1) = cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)) | ~spl15_49), 15.57/2.37 inference(forward_demodulation,[],[f3390,f342])). 15.57/2.37 tff(f3390,plain,( 15.57/2.37 cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)) = t2tb(tb2t(nil(elt1))) | ~spl15_49), 15.57/2.37 inference(superposition,[],[f342,f3299])). 15.57/2.37 tff(f3299,plain,( 15.57/2.37 tb2t(nil(elt1)) = tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) | ~spl15_49), 15.57/2.37 inference(avatar_component_clause,[],[f3298])). 15.57/2.37 tff(f3306,plain,( 15.57/2.37 spl15_49 | spl15_50 | spl15_51 | ~spl15_48), 15.57/2.37 inference(avatar_split_clause,[],[f3296,f3286,f3304,f3301,f3298])). 15.57/2.37 tff(f3301,plain,( 15.57/2.37 spl15_50 <=> tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK3(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),cons(elt1,t2tb1(sK4(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),t2tb(sK5(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_50])])). 15.57/2.37 tff(f3304,plain,( 15.57/2.37 spl15_51 <=> tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK2(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),nil(elt1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_51])])). 15.57/2.37 tff(f3286,plain,( 15.57/2.37 spl15_48 <=> sorted(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_48])])). 15.57/2.37 tff(f3296,plain,( 15.57/2.37 tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK2(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),nil(elt1))) | tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) = tb2t(cons(elt1,t2tb1(sK3(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),cons(elt1,t2tb1(sK4(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))))),t2tb(sK5(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)))))))) | tb2t(nil(elt1)) = tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))) | ~spl15_48), 15.57/2.37 inference(resolution,[],[f3287,f354])). 15.57/2.37 tff(f3287,plain,( 15.57/2.37 sorted(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)))) | ~spl15_48), 15.57/2.37 inference(avatar_component_clause,[],[f3286])). 15.57/2.37 tff(f3288,plain,( 15.57/2.37 spl15_48 | ~spl15_47), 15.57/2.37 inference(avatar_split_clause,[],[f3276,f3258,f3286])). 15.57/2.37 tff(f3258,plain,( 15.57/2.37 spl15_47 <=> sK12(elt1,nil(elt1),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,nil(elt1),t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_47])])). 15.57/2.37 tff(f3276,plain,( 15.57/2.37 sorted(tb2t(cons(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)))) | ~spl15_47), 15.57/2.37 inference(superposition,[],[f346,f3259])). 15.57/2.37 tff(f3259,plain,( 15.57/2.37 sK12(elt1,nil(elt1),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,nil(elt1),t2tb(sK1)))) | ~spl15_47), 15.57/2.37 inference(avatar_component_clause,[],[f3258])). 15.57/2.37 tff(f3260,plain,( 15.57/2.37 spl15_47 | ~spl15_45), 15.57/2.37 inference(avatar_split_clause,[],[f3248,f3227,f3258])). 15.57/2.37 tff(f3227,plain,( 15.57/2.37 spl15_45 <=> sort(elt1,sK12(elt1,nil(elt1),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_45])])). 15.57/2.37 tff(f3248,plain,( 15.57/2.37 sK12(elt1,nil(elt1),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,nil(elt1),t2tb(sK1)))) | ~spl15_45), 15.57/2.37 inference(resolution,[],[f3228,f357])). 15.57/2.37 tff(f3228,plain,( 15.57/2.37 sort(elt1,sK12(elt1,nil(elt1),t2tb(sK1))) | ~spl15_45), 15.57/2.37 inference(avatar_component_clause,[],[f3227])). 15.57/2.37 tff(f3233,plain,( 15.57/2.37 spl15_45 | spl15_36), 15.57/2.37 inference(avatar_split_clause,[],[f3225,f2961,f3227])). 15.57/2.37 tff(f3225,plain,( 15.57/2.37 sort(elt1,sK12(elt1,nil(elt1),t2tb(sK1))) | spl15_36), 15.57/2.37 inference(resolution,[],[f3221,f427])). 15.57/2.37 tff(f3232,plain,( 15.57/2.37 spl15_45 | spl15_46 | ~spl15_11 | spl15_36), 15.57/2.37 inference(avatar_split_clause,[],[f3224,f2961,f637,f3230,f3227])). 15.57/2.37 tff(f3230,plain,( 15.57/2.37 spl15_46 <=> sort(elt1,sK12(elt1,t2tb(sK1),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_46])])). 15.57/2.37 tff(f3224,plain,( 15.57/2.37 sort(elt1,sK12(elt1,t2tb(sK1),t2tb(sK1))) | sort(elt1,sK12(elt1,nil(elt1),t2tb(sK1))) | (~spl15_11 | spl15_36)), 15.57/2.37 inference(resolution,[],[f3221,f1718])). 15.57/2.37 tff(f3223,plain,( 15.57/2.37 spl15_39 | spl15_37), 15.57/2.37 inference(avatar_split_clause,[],[f3219,f2966,f2976])). 15.57/2.37 tff(f2976,plain,( 15.57/2.37 spl15_39 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_39])])). 15.57/2.37 tff(f2966,plain,( 15.57/2.37 spl15_37 <=> permut(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_37])])). 15.57/2.37 tff(f3219,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | spl15_37), 15.57/2.37 inference(resolution,[],[f2967,f427])). 15.57/2.37 tff(f2967,plain,( 15.57/2.37 ~permut(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_37), 15.57/2.37 inference(avatar_component_clause,[],[f2966])). 15.57/2.37 tff(f3222,plain,( 15.57/2.37 ~spl15_36 | spl15_37), 15.57/2.37 inference(avatar_split_clause,[],[f3218,f2966,f2961])). 15.57/2.37 tff(f3218,plain,( 15.57/2.37 ~permut(elt1,nil(elt1),t2tb(sK1)) | spl15_37), 15.57/2.37 inference(resolution,[],[f2967,f458])). 15.57/2.37 tff(f3220,plain,( 15.57/2.37 spl15_42 | spl15_22 | ~spl15_11 | spl15_37), 15.57/2.37 inference(avatar_split_clause,[],[f3217,f2966,f637,f1824,f3060])). 15.57/2.37 tff(f3060,plain,( 15.57/2.37 spl15_42 <=> sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_42])])). 15.57/2.37 tff(f3217,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),t2tb(sK1))) | sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1))) | (~spl15_11 | spl15_37)), 15.57/2.37 inference(resolution,[],[f2967,f1718])). 15.57/2.37 tff(f3102,plain,( 15.57/2.37 spl15_44 | ~spl15_13 | ~spl15_20 | ~spl15_34), 15.57/2.37 inference(avatar_split_clause,[],[f3098,f2116,f1192,f695,f3100])). 15.57/2.37 tff(f3100,plain,( 15.57/2.37 spl15_44 <=> 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_44])])). 15.57/2.37 tff(f1192,plain,( 15.57/2.37 spl15_20 <=> 0 = length(elt1,t2tb(sK1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_20])])). 15.57/2.37 tff(f3098,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)),nil(elt1)) | (~spl15_13 | ~spl15_20 | ~spl15_34)), 15.57/2.37 inference(forward_demodulation,[],[f2938,f1963])). 15.57/2.37 tff(f1963,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,1,cons(X20,X21,X22)) = cons(X20,X21,nil(X20))) ) | ~spl15_13), 15.57/2.37 inference(forward_demodulation,[],[f1962,f363])). 15.57/2.37 tff(f363,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (nil(X0) = prefix(X0,0,X1)) )), 15.57/2.37 inference(cnf_transformation,[],[f162])). 15.57/2.37 tff(f162,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : nil(X0) = prefix(X0,0,X1)), 15.57/2.37 inference(rectify,[],[f59])). 15.57/2.37 tff(f59,axiom,( 15.57/2.37 ! [X0 : ty,X9 : uni] : nil(X0) = prefix(X0,0,X9)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prefix_def1)). 15.57/2.37 tff(f1962,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,1,cons(X20,X21,X22)) = cons(X20,X21,prefix(X20,0,X22))) ) | ~spl15_13), 15.57/2.37 inference(evaluation,[],[f1961])). 15.57/2.37 tff(f1961,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,1,cons(X20,X21,X22)) = cons(X20,X21,prefix(X20,$sum(-1,1),X22))) ) | ~spl15_13), 15.57/2.37 inference(forward_demodulation,[],[f1960,f696])). 15.57/2.37 tff(f1960,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,abs(1),cons(X20,X21,X22)) = cons(X20,X21,prefix(X20,$sum(-1,abs(1)),X22))) )), 15.57/2.37 inference(forward_demodulation,[],[f1958,f121])). 15.57/2.37 tff(f1958,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,abs(1),cons(X20,X21,X22)) = cons(X20,X21,prefix(X20,$sum(abs(1),-1),X22))) )), 15.57/2.37 inference(evaluation,[],[f1941])). 15.57/2.37 tff(f1941,plain,( 15.57/2.37 ( ! [X21:uni,X22:uni,X20:ty] : (prefix(X20,abs($sum(0,1)),cons(X20,X21,X22)) = cons(X20,X21,prefix(X20,$sum(abs($sum(0,1)),-1),X22))) )), 15.57/2.37 inference(resolution,[],[f472,f585])). 15.57/2.37 tff(f585,plain,( 15.57/2.37 ( ! [X1:$int] : ($less(X1,abs($sum(X1,1)))) )), 15.57/2.37 inference(resolution,[],[f130,f572])). 15.57/2.37 tff(f572,plain,( 15.57/2.37 ( ! [X0:$int] : (~$less(abs(X0),X0)) )), 15.57/2.37 inference(resolution,[],[f401,f126])). 15.57/2.37 tff(f2938,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)),nil(elt1)) | (~spl15_20 | ~spl15_34)), 15.57/2.37 inference(evaluation,[],[f2835])). 15.57/2.37 tff(f2835,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)),nil(elt1)) | (~spl15_20 | ~spl15_34)), 15.57/2.37 inference(backward_demodulation,[],[f2117,f2751])). 15.57/2.37 tff(f2751,plain,( 15.57/2.37 0 = length(elt1,t2tb(sK1)) | ~spl15_20), 15.57/2.37 inference(avatar_component_clause,[],[f1192])). 15.57/2.37 tff(f3097,plain,( 15.57/2.37 spl15_43 | ~spl15_13 | ~spl15_20 | ~spl15_33), 15.57/2.37 inference(avatar_split_clause,[],[f3093,f2112,f1192,f695,f3095])). 15.57/2.37 tff(f3095,plain,( 15.57/2.37 spl15_43 <=> sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_43])])). 15.57/2.37 tff(f3093,plain,( 15.57/2.37 sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1)))) | (~spl15_13 | ~spl15_20 | ~spl15_33)), 15.57/2.37 inference(forward_demodulation,[],[f2939,f1963])). 15.57/2.37 tff(f2939,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)))) | (~spl15_20 | ~spl15_33)), 15.57/2.37 inference(evaluation,[],[f2834])). 15.57/2.37 tff(f2834,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)))) | (~spl15_20 | ~spl15_33)), 15.57/2.37 inference(backward_demodulation,[],[f2113,f2751])). 15.57/2.37 tff(f3062,plain,( 15.57/2.37 spl15_42 | ~spl15_13 | ~spl15_20 | ~spl15_21), 15.57/2.37 inference(avatar_split_clause,[],[f3058,f1821,f1192,f695,f3060])). 15.57/2.37 tff(f3058,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),t2tb(sK1))) | (~spl15_13 | ~spl15_20 | ~spl15_21)), 15.57/2.37 inference(forward_demodulation,[],[f2948,f1963])). 15.57/2.37 tff(f2948,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))) | (~spl15_20 | ~spl15_21)), 15.57/2.37 inference(evaluation,[],[f2816])). 15.57/2.37 tff(f2816,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))) | (~spl15_20 | ~spl15_21)), 15.57/2.37 inference(backward_demodulation,[],[f1822,f2751])). 15.57/2.37 tff(f2988,plain,( 15.57/2.37 spl15_41 | ~spl15_13 | ~spl15_16 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2984,f1192,f846,f695,f2986])). 15.57/2.37 tff(f2986,plain,( 15.57/2.37 spl15_41 <=> 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_41])])). 15.57/2.37 tff(f2984,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | (~spl15_13 | ~spl15_16 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2955,f1963])). 15.57/2.37 tff(f2955,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | (~spl15_16 | ~spl15_20)), 15.57/2.37 inference(evaluation,[],[f2761])). 15.57/2.37 tff(f2761,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | (~spl15_16 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f847,f2751])). 15.57/2.37 tff(f2983,plain,( 15.57/2.37 spl15_40 | ~spl15_13 | ~spl15_15 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2979,f1192,f842,f695,f2981])). 15.57/2.37 tff(f2981,plain,( 15.57/2.37 spl15_40 <=> sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1)))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_40])])). 15.57/2.37 tff(f2979,plain,( 15.57/2.37 sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | (~spl15_13 | ~spl15_15 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2956,f1963])). 15.57/2.37 tff(f2956,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | (~spl15_15 | ~spl15_20)), 15.57/2.37 inference(evaluation,[],[f2760])). 15.57/2.37 tff(f2760,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | (~spl15_15 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f843,f2751])). 15.57/2.37 tff(f2978,plain,( 15.57/2.37 spl15_39 | ~spl15_13 | ~spl15_14 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2974,f1192,f836,f695,f2976])). 15.57/2.37 tff(f2974,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | (~spl15_13 | ~spl15_14 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2957,f1963])). 15.57/2.37 tff(f2957,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | (~spl15_14 | ~spl15_20)), 15.57/2.37 inference(evaluation,[],[f2759])). 15.57/2.37 tff(f2759,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | (~spl15_14 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f837,f2751])). 15.57/2.37 tff(f2973,plain,( 15.57/2.37 spl15_38 | ~spl15_11 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2969,f1192,f637,f2971])). 15.57/2.37 tff(f2971,plain,( 15.57/2.37 spl15_38 <=> permut(elt1,t2tb(sK1),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_38])])). 15.57/2.37 tff(f2969,plain,( 15.57/2.37 permut(elt1,t2tb(sK1),nil(elt1)) | (~spl15_11 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2758,f363])). 15.57/2.37 tff(f2758,plain,( 15.57/2.37 permut(elt1,t2tb(sK1),prefix(elt1,0,t2tb(sK1))) | (~spl15_11 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f638,f2751])). 15.57/2.37 tff(f2968,plain,( 15.57/2.37 ~spl15_37 | spl15_7 | ~spl15_13 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2964,f1192,f695,f509,f2966])). 15.57/2.37 tff(f2964,plain,( 15.57/2.37 ~permut(elt1,cons(elt1,t2tb1(sK0),nil(elt1)),cons(elt1,t2tb1(sK0),t2tb(sK1))) | (spl15_7 | ~spl15_13 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2958,f1963])). 15.57/2.37 tff(f2958,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | (spl15_7 | ~spl15_20)), 15.57/2.37 inference(evaluation,[],[f2757])). 15.57/2.37 tff(f2757,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,$sum(1,0),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | (spl15_7 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f510,f2751])). 15.57/2.37 tff(f2963,plain,( 15.57/2.37 spl15_36 | ~spl15_3 | ~spl15_20), 15.57/2.37 inference(avatar_split_clause,[],[f2959,f1192,f483,f2961])). 15.57/2.37 tff(f2959,plain,( 15.57/2.37 permut(elt1,nil(elt1),t2tb(sK1)) | (~spl15_3 | ~spl15_20)), 15.57/2.37 inference(forward_demodulation,[],[f2756,f363])). 15.57/2.37 tff(f2756,plain,( 15.57/2.37 permut(elt1,prefix(elt1,0,t2tb(sK1)),t2tb(sK1)) | (~spl15_3 | ~spl15_20)), 15.57/2.37 inference(backward_demodulation,[],[f484,f2751])). 15.57/2.37 tff(f2752,plain,( 15.57/2.37 spl15_35 | spl15_20 | ~spl15_11 | ~spl15_18), 15.57/2.37 inference(avatar_split_clause,[],[f2747,f1179,f637,f1192,f2749])). 15.57/2.37 tff(f2749,plain,( 15.57/2.37 spl15_35 <=> 0 = num_occ(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_35])])). 15.57/2.37 tff(f1179,plain,( 15.57/2.37 spl15_18 <=> length(elt1,t2tb(sK1)) = length(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_18])])). 15.57/2.37 tff(f2747,plain,( 15.57/2.37 0 = length(elt1,t2tb(sK1)) | 0 = num_occ(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(forward_demodulation,[],[f2742,f347])). 15.57/2.37 tff(f347,plain,( 15.57/2.37 ( ! [X0:ty] : (0 = length(X0,nil(X0))) )), 15.57/2.37 inference(cnf_transformation,[],[f151])). 15.57/2.37 tff(f151,plain,( 15.57/2.37 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) & 0 = length(X0,nil(X0)))), 15.57/2.37 inference(rectify,[],[f21])). 15.57/2.37 tff(f21,axiom,( 15.57/2.37 ! [X0 : ty] : (! [X6 : uni,X8 : uni] : length(X0,cons(X0,X6,X8)) = $sum(1,length(X0,X8)) & 0 = length(X0,nil(X0)))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 15.57/2.37 tff(f2742,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,nil(elt1),t2tb(sK1)),nil(elt1)) | length(elt1,nil(elt1)) = length(elt1,t2tb(sK1)) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(superposition,[],[f2729,f352])). 15.57/2.37 tff(f352,plain,( 15.57/2.37 ( ! [X0:ty] : (nil(X0) = reverse(X0,nil(X0))) )), 15.57/2.37 inference(cnf_transformation,[],[f153])). 15.57/2.37 tff(f153,plain,( 15.57/2.37 ! [X0 : ty] : (nil(X0) = reverse(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : reverse(X0,cons(X0,X1,X2)) = infix_plpl(X0,reverse(X0,X2),cons(X0,X1,nil(X0))))), 15.57/2.37 inference(rectify,[],[f9])). 15.57/2.37 tff(f9,axiom,( 15.57/2.37 ! [X0 : ty] : (nil(X0) = reverse(X0,nil(X0)) & ! [X6 : uni,X8 : uni] : reverse(X0,cons(X0,X6,X8)) = infix_plpl(X0,reverse(X0,X8),cons(X0,X6,nil(X0))))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_def)). 15.57/2.37 tff(f2729,plain,( 15.57/2.37 ( ! [X1:uni] : (0 = num_occ(elt1,sK12(elt1,reverse(elt1,X1),t2tb(sK1)),nil(elt1)) | length(elt1,t2tb(sK1)) = length(elt1,X1)) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(resolution,[],[f2727,f381])). 15.57/2.37 tff(f2727,plain,( 15.57/2.37 ( ! [X17:uni] : (sort(elt1,sK12(elt1,reverse(elt1,X17),t2tb(sK1))) | length(elt1,t2tb(sK1)) = length(elt1,X17)) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(forward_demodulation,[],[f2711,f369])). 15.57/2.37 tff(f369,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 15.57/2.37 inference(cnf_transformation,[],[f167])). 15.57/2.37 tff(f167,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : (! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1) & infix_plpl(X0,nil(X0),X1) = X1)), 15.57/2.37 inference(rectify,[],[f63])). 15.57/2.37 tff(f63,axiom,( 15.57/2.37 ! [X0 : ty,X12 : uni] : (! [X6 : uni,X8 : uni] : cons(X0,X6,infix_plpl(X0,X8,X12)) = infix_plpl(X0,cons(X0,X6,X8),X12) & infix_plpl(X0,nil(X0),X12) = X12)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 15.57/2.37 tff(f2711,plain,( 15.57/2.37 ( ! [X17:uni] : (sort(elt1,sK12(elt1,reverse(elt1,X17),t2tb(sK1))) | length(elt1,t2tb(sK1)) = length(elt1,infix_plpl(elt1,nil(elt1),X17))) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(superposition,[],[f2597,f1130])). 15.57/2.37 tff(f1130,plain,( 15.57/2.37 ( ! [X4:uni,X3:ty] : (reverse(X3,X4) = rev_append(X3,X4,nil(X3))) )), 15.57/2.37 inference(superposition,[],[f422,f365])). 15.57/2.37 tff(f365,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,X1,nil(X0)) = X1) )), 15.57/2.37 inference(cnf_transformation,[],[f164])). 15.57/2.37 tff(f164,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : infix_plpl(X0,X1,nil(X0)) = X1), 15.57/2.37 inference(rectify,[],[f22])). 15.57/2.37 tff(f22,axiom,( 15.57/2.37 ! [X0 : ty,X9 : uni] : infix_plpl(X0,X9,nil(X0)) = X9), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_l_nil)). 15.57/2.37 tff(f422,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : (rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2)) )), 15.57/2.37 inference(cnf_transformation,[],[f198])). 15.57/2.37 tff(f198,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2)), 15.57/2.37 inference(rectify,[],[f41])). 15.57/2.37 tff(f41,axiom,( 15.57/2.37 ! [X0 : ty,X18 : uni,X20 : uni] : infix_plpl(X0,reverse(X0,X18),X20) = rev_append(X0,X18,X20)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rev_append_def1)). 15.57/2.37 tff(f2597,plain,( 15.57/2.37 ( ! [X8:uni,X9:uni] : (sort(elt1,sK12(elt1,rev_append(elt1,X8,X9),t2tb(sK1))) | length(elt1,t2tb(sK1)) = length(elt1,infix_plpl(elt1,X9,X8))) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(forward_demodulation,[],[f2592,f1444])). 15.57/2.37 tff(f1444,plain,( 15.57/2.37 ( ! [X6:ty,X8:uni,X7:uni] : (length(X6,infix_plpl(X6,X8,reverse(X6,X7))) = length(X6,infix_plpl(X6,X8,X7))) )), 15.57/2.37 inference(forward_demodulation,[],[f1422,f424])). 15.57/2.37 tff(f424,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : ($sum(length(X0,X1),length(X0,X2)) = length(X0,infix_plpl(X0,X1,X2))) )), 15.57/2.37 inference(cnf_transformation,[],[f200])). 15.57/2.37 tff(f200,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : $sum(length(X0,X1),length(X0,X2)) = length(X0,infix_plpl(X0,X1,X2))), 15.57/2.37 inference(rectify,[],[f16])). 15.57/2.37 tff(f16,axiom,( 15.57/2.37 ! [X0 : ty,X11 : uni,X12 : uni] : $sum(length(X0,X11),length(X0,X12)) = length(X0,infix_plpl(X0,X11,X12))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_length)). 15.57/2.37 tff(f1422,plain,( 15.57/2.37 ( ! [X6:ty,X8:uni,X7:uni] : (length(X6,infix_plpl(X6,X8,reverse(X6,X7))) = $sum(length(X6,X8),length(X6,X7))) )), 15.57/2.37 inference(superposition,[],[f424,f366])). 15.57/2.37 tff(f366,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (length(X0,X1) = length(X0,reverse(X0,X1))) )), 15.57/2.37 inference(cnf_transformation,[],[f165])). 15.57/2.37 tff(f165,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : length(X0,X1) = length(X0,reverse(X0,X1))), 15.57/2.37 inference(rectify,[],[f8])). 15.57/2.37 tff(f8,axiom,( 15.57/2.37 ! [X0 : ty,X9 : uni] : length(X0,reverse(X0,X9)) = length(X0,X9)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_length)). 15.57/2.37 tff(f2592,plain,( 15.57/2.37 ( ! [X8:uni,X9:uni] : (sort(elt1,sK12(elt1,rev_append(elt1,X8,X9),t2tb(sK1))) | length(elt1,t2tb(sK1)) = length(elt1,infix_plpl(elt1,X9,reverse(elt1,X8)))) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(superposition,[],[f1587,f422])). 15.57/2.37 tff(f1587,plain,( 15.57/2.37 ( ! [X10:uni,X9:uni] : (sort(elt1,sK12(elt1,infix_plpl(elt1,X10,X9),t2tb(sK1))) | length(elt1,t2tb(sK1)) = length(elt1,infix_plpl(elt1,X9,X10))) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(resolution,[],[f1524,f420])). 15.57/2.37 tff(f420,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : (permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X2,X1))) )), 15.57/2.37 inference(cnf_transformation,[],[f196])). 15.57/2.37 tff(f196,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : permut(X0,infix_plpl(X0,X1,X2),infix_plpl(X0,X2,X1))), 15.57/2.37 inference(rectify,[],[f70])). 15.57/2.37 tff(f70,axiom,( 15.57/2.37 ! [X0 : ty,X11 : uni,X12 : uni] : permut(X0,infix_plpl(X0,X11,X12),infix_plpl(X0,X12,X11))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_append_swap)). 15.57/2.37 tff(f1524,plain,( 15.57/2.37 ( ! [X6:uni,X7:uni] : (~permut(elt1,X6,X7) | length(elt1,t2tb(sK1)) = length(elt1,X6) | sort(elt1,sK12(elt1,X7,t2tb(sK1)))) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(resolution,[],[f1509,f427])). 15.57/2.37 tff(f1509,plain,( 15.57/2.37 ( ! [X12:uni,X11:uni] : (~permut(elt1,X11,t2tb(sK1)) | length(elt1,t2tb(sK1)) = length(elt1,X12) | ~permut(elt1,X12,X11)) ) | (~spl15_11 | ~spl15_18)), 15.57/2.37 inference(forward_demodulation,[],[f1506,f1180])). 15.57/2.37 tff(f1180,plain,( 15.57/2.37 length(elt1,t2tb(sK1)) = length(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~spl15_18), 15.57/2.37 inference(avatar_component_clause,[],[f1179])). 15.57/2.37 tff(f1506,plain,( 15.57/2.37 ( ! [X12:uni,X11:uni] : (~permut(elt1,X11,t2tb(sK1)) | ~permut(elt1,X12,X11) | length(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) = length(elt1,X12)) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1345,f439])). 15.57/2.37 tff(f439,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : (~permut(X0,X1,X2) | length(X0,X2) = length(X0,X1)) )), 15.57/2.37 inference(cnf_transformation,[],[f279])). 15.57/2.37 tff(f279,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : (length(X0,X2) = length(X0,X1) | ~permut(X0,X1,X2))), 15.57/2.37 inference(ennf_transformation,[],[f211])). 15.57/2.37 tff(f211,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni,X2 : uni] : (permut(X0,X1,X2) => length(X0,X2) = length(X0,X1))), 15.57/2.37 inference(rectify,[],[f51])). 15.57/2.37 tff(f51,axiom,( 15.57/2.37 ! [X0 : ty,X11 : uni,X12 : uni] : (permut(X0,X11,X12) => length(X0,X11) = length(X0,X12))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_length)). 15.57/2.37 tff(f2118,plain,( 15.57/2.37 spl15_34 | ~spl15_21), 15.57/2.37 inference(avatar_split_clause,[],[f2103,f1821,f2116])). 15.57/2.37 tff(f2103,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)),nil(elt1)) | ~spl15_21), 15.57/2.37 inference(resolution,[],[f1822,f381])). 15.57/2.37 tff(f2114,plain,( 15.57/2.37 spl15_33 | ~spl15_21), 15.57/2.37 inference(avatar_split_clause,[],[f2102,f1821,f2112])). 15.57/2.37 tff(f2102,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1)))) | ~spl15_21), 15.57/2.37 inference(resolution,[],[f1822,f357])). 15.57/2.37 tff(f2078,plain,( 15.57/2.37 ~spl15_31 | spl15_32 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f2066,f637,f2076,f2073])). 15.57/2.37 tff(f2073,plain,( 15.57/2.37 spl15_31 <=> sorted(tb2t(reverse(elt1,t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_31])])). 15.57/2.37 tff(f2076,plain,( 15.57/2.37 spl15_32 <=> ! [X1 : uni,X0 : elt] : (sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X0),t2tb(sK1))))) | sort(elt1,sK12(elt1,X1,t2tb(sK1))) | mem(elt1,t2tb1(sK8(sK1,X0)),X1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_32])])). 15.57/2.37 tff(f2066,plain,( 15.57/2.37 ( ! [X0:elt,X1:uni] : (sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X0),t2tb(sK1))))) | ~sorted(tb2t(reverse(elt1,t2tb(sK1)))) | mem(elt1,t2tb1(sK8(sK1,X0)),X1) | sort(elt1,sK12(elt1,X1,t2tb(sK1)))) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f387,f1935])). 15.57/2.37 tff(f387,plain,( 15.57/2.37 ( ! [X0:list_elt,X1:elt] : (mem(elt1,t2tb1(sK8(X0,X1)),t2tb(X0)) | sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X1),t2tb(X0))))) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 15.57/2.37 inference(cnf_transformation,[],[f308])). 15.57/2.37 tff(f308,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : elt] : (sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X1),t2tb(X0))))) | (~le(sK8(X0,X1),X1) & mem(elt1,t2tb1(sK8(X0,X1)),t2tb(X0))) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 15.57/2.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f247,f307])). 15.57/2.37 tff(f307,plain,( 15.57/2.37 ! [X1 : elt,X0 : list_elt] : (? [X2 : elt] : (~le(X2,X1) & mem(elt1,t2tb1(X2),t2tb(X0))) => (~le(sK8(X0,X1),X1) & mem(elt1,t2tb1(sK8(X0,X1)),t2tb(X0))))), 15.57/2.37 introduced(choice_axiom,[])). 15.57/2.37 tff(f247,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : elt] : (sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X1),t2tb(X0))))) | ? [X2 : elt] : (~le(X2,X1) & mem(elt1,t2tb1(X2),t2tb(X0))) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 15.57/2.37 inference(flattening,[],[f246])). 15.57/2.37 tff(f246,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : elt] : ((sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X1),t2tb(X0))))) | ? [X2 : elt] : (~le(X2,X1) & mem(elt1,t2tb1(X2),t2tb(X0)))) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 15.57/2.37 inference(ennf_transformation,[],[f176])). 15.57/2.37 tff(f176,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : elt] : (sorted(tb2t(reverse(elt1,t2tb(X0)))) => (! [X2 : elt] : (mem(elt1,t2tb1(X2),t2tb(X0)) => le(X2,X1)) => sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X1),t2tb(X0)))))))), 15.57/2.37 inference(rectify,[],[f37])). 15.57/2.37 tff(f37,axiom,( 15.57/2.37 ! [X19 : list_elt,X8 : elt] : (sorted(tb2t(reverse(elt1,t2tb(X19)))) => (! [X6 : elt] : (mem(elt1,t2tb1(X6),t2tb(X19)) => le(X6,X8)) => sorted(tb2t(reverse(elt1,cons(elt1,t2tb1(X8),t2tb(X19)))))))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_reverse_cons)). 15.57/2.37 tff(f2009,plain,( 15.57/2.37 ~spl15_27 | spl15_30 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1994,f637,f2007,f1996])). 15.57/2.37 tff(f1996,plain,( 15.57/2.37 spl15_27 <=> sorted(sK1)), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_27])])). 15.57/2.37 tff(f2007,plain,( 15.57/2.37 spl15_30 <=> ! [X5 : uni,X4 : list_elt] : (mem(elt1,t2tb1(sK10(X4,sK1)),X5) | sorted(tb2t(infix_plpl(elt1,t2tb(X4),t2tb(sK1)))) | ~sorted(X4) | sort(elt1,sK12(elt1,X5,t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_30])])). 15.57/2.37 tff(f1994,plain,( 15.57/2.37 ( ! [X4:list_elt,X5:uni] : (mem(elt1,t2tb1(sK10(X4,sK1)),X5) | sort(elt1,sK12(elt1,X5,t2tb(sK1))) | ~sorted(X4) | sorted(tb2t(infix_plpl(elt1,t2tb(X4),t2tb(sK1)))) | ~sorted(sK1)) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1935,f408])). 15.57/2.37 tff(f408,plain,( 15.57/2.37 ( ! [X0:list_elt,X1:list_elt] : (mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) | ~sorted(X0) | sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | ~sorted(X1)) )), 15.57/2.37 inference(cnf_transformation,[],[f316])). 15.57/2.37 tff(f316,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : ((sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | ~sorted(X0) | (~le(sK9(X0,X1),sK10(X0,X1)) & mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) & mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0))) | ~sorted(X1)) & ((sorted(X0) & ! [X4 : elt,X5 : elt] : (le(X4,X5) | ~mem(elt1,t2tb1(X5),t2tb(X1)) | ~mem(elt1,t2tb1(X4),t2tb(X0))) & sorted(X1)) | ~sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))))), 15.57/2.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f314,f315])). 15.57/2.37 tff(f315,plain,( 15.57/2.37 ! [X1 : list_elt,X0 : list_elt] : (? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) => (~le(sK9(X0,X1),sK10(X0,X1)) & mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) & mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0))))), 15.57/2.37 introduced(choice_axiom,[])). 15.57/2.37 tff(f314,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : ((sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | ~sorted(X0) | ? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) | ~sorted(X1)) & ((sorted(X0) & ! [X4 : elt,X5 : elt] : (le(X4,X5) | ~mem(elt1,t2tb1(X5),t2tb(X1)) | ~mem(elt1,t2tb1(X4),t2tb(X0))) & sorted(X1)) | ~sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))))), 15.57/2.37 inference(rectify,[],[f313])). 15.57/2.37 tff(f313,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : ((sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | ~sorted(X0) | ? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) | ~sorted(X1)) & ((sorted(X0) & ! [X2 : elt,X3 : elt] : (le(X2,X3) | ~mem(elt1,t2tb1(X3),t2tb(X1)) | ~mem(elt1,t2tb1(X2),t2tb(X0))) & sorted(X1)) | ~sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))))), 15.57/2.37 inference(flattening,[],[f312])). 15.57/2.37 tff(f312,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : ((sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | (~sorted(X0) | ? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) | ~sorted(X1))) & ((sorted(X0) & ! [X2 : elt,X3 : elt] : (le(X2,X3) | ~mem(elt1,t2tb1(X3),t2tb(X1)) | ~mem(elt1,t2tb1(X2),t2tb(X0))) & sorted(X1)) | ~sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1))))))), 15.57/2.37 inference(nnf_transformation,[],[f265])). 15.57/2.37 tff(f265,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) <=> (sorted(X0) & ! [X2 : elt,X3 : elt] : (le(X2,X3) | ~mem(elt1,t2tb1(X3),t2tb(X1)) | ~mem(elt1,t2tb1(X2),t2tb(X0))) & sorted(X1)))), 15.57/2.37 inference(flattening,[],[f264])). 15.57/2.37 tff(f264,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) <=> (sorted(X0) & ! [X2 : elt,X3 : elt] : ((le(X2,X3) | ~mem(elt1,t2tb1(X3),t2tb(X1))) | ~mem(elt1,t2tb1(X2),t2tb(X0))) & sorted(X1)))), 15.57/2.37 inference(ennf_transformation,[],[f188])). 15.57/2.37 tff(f188,plain,( 15.57/2.37 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) <=> (sorted(X0) & ! [X2 : elt,X3 : elt] : (mem(elt1,t2tb1(X2),t2tb(X0)) => (mem(elt1,t2tb1(X3),t2tb(X1)) => le(X2,X3))) & sorted(X1)))), 15.57/2.37 inference(rectify,[],[f96])). 15.57/2.37 tff(f96,axiom,( 15.57/2.37 ! [X11 : list_elt,X12 : list_elt] : (sorted(tb2t(infix_plpl(elt1,t2tb(X11),t2tb(X12)))) <=> (sorted(X11) & ! [X6 : elt,X7 : elt] : (mem(elt1,t2tb1(X6),t2tb(X11)) => (mem(elt1,t2tb1(X7),t2tb(X12)) => le(X6,X7))) & sorted(X12)))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_append)). 15.57/2.37 tff(f2005,plain,( 15.57/2.37 ~spl15_27 | spl15_29 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1993,f637,f2003,f1996])). 15.57/2.37 tff(f2003,plain,( 15.57/2.37 spl15_29 <=> ! [X3 : uni,X2 : list_elt] : (mem(elt1,t2tb1(sK9(sK1,X2)),X3) | ~sorted(X2) | sorted(tb2t(infix_plpl(elt1,t2tb(sK1),t2tb(X2)))) | sort(elt1,sK12(elt1,X3,t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_29])])). 15.57/2.37 tff(f1993,plain,( 15.57/2.37 ( ! [X2:list_elt,X3:uni] : (mem(elt1,t2tb1(sK9(sK1,X2)),X3) | sort(elt1,sK12(elt1,X3,t2tb(sK1))) | ~sorted(sK1) | sorted(tb2t(infix_plpl(elt1,t2tb(sK1),t2tb(X2)))) | ~sorted(X2)) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1935,f407])). 15.57/2.37 tff(f407,plain,( 15.57/2.37 ( ! [X0:list_elt,X1:list_elt] : (mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0)) | ~sorted(X0) | sorted(tb2t(infix_plpl(elt1,t2tb(X0),t2tb(X1)))) | ~sorted(X1)) )), 15.57/2.37 inference(cnf_transformation,[],[f316])). 15.57/2.37 tff(f2001,plain,( 15.57/2.37 ~spl15_27 | spl15_28 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1992,f637,f1999,f1996])). 15.57/2.37 tff(f1999,plain,( 15.57/2.37 spl15_28 <=> ! [X1 : uni,X0 : elt] : (mem(elt1,t2tb1(sK11(X0,sK1)),X1) | sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(sK1)))) | sort(elt1,sK12(elt1,X1,t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_28])])). 15.57/2.37 tff(f1992,plain,( 15.57/2.37 ( ! [X0:elt,X1:uni] : (mem(elt1,t2tb1(sK11(X0,sK1)),X1) | sort(elt1,sK12(elt1,X1,t2tb(sK1))) | sorted(tb2t(cons(elt1,t2tb1(X0),t2tb(sK1)))) | ~sorted(sK1)) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1935,f410])). 15.57/2.37 tff(f1851,plain,( 15.57/2.37 spl15_26 | ~spl15_24), 15.57/2.37 inference(avatar_split_clause,[],[f1837,f1831,f1849])). 15.57/2.37 tff(f1849,plain,( 15.57/2.37 spl15_26 <=> 0 = num_occ(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_26])])). 15.57/2.37 tff(f1837,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)),nil(elt1)) | ~spl15_24), 15.57/2.37 inference(resolution,[],[f1832,f381])). 15.57/2.37 tff(f1832,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))) | ~spl15_24), 15.57/2.37 inference(avatar_component_clause,[],[f1831])). 15.57/2.37 tff(f1847,plain,( 15.57/2.37 spl15_25 | ~spl15_24), 15.57/2.37 inference(avatar_split_clause,[],[f1836,f1831,f1845])). 15.57/2.37 tff(f1845,plain,( 15.57/2.37 spl15_25 <=> sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_25])])). 15.57/2.37 tff(f1836,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)))) | ~spl15_24), 15.57/2.37 inference(resolution,[],[f1832,f357])). 15.57/2.37 tff(f1833,plain,( 15.57/2.37 spl15_23 | spl15_24 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1804,f637,f1831,f1828])). 15.57/2.37 tff(f1804,plain,( 15.57/2.37 ( ! [X0:uni,X1:uni] : (sort(elt1,sK12(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))) | sort(elt1,sK12(elt1,X0,t2tb(sK1))) | permut(elt1,X0,X1) | ~permut(elt1,X1,t2tb(sK1))) ) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f1718,f1378])). 15.57/2.37 tff(f1826,plain,( 15.57/2.37 spl15_21 | spl15_22 | spl15_7 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1803,f637,f509,f1824,f1821])). 15.57/2.37 tff(f1803,plain,( 15.57/2.37 sort(elt1,sK12(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1)),t2tb(sK1))) | sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),t2tb(sK1))) | (spl15_7 | ~spl15_11)), 15.57/2.37 inference(resolution,[],[f1718,f510])). 15.57/2.37 tff(f1194,plain,( 15.57/2.37 spl15_19 | ~spl15_20 | ~spl15_18), 15.57/2.37 inference(avatar_split_clause,[],[f1186,f1179,f1192,f1189])). 15.57/2.37 tff(f1186,plain,( 15.57/2.37 0 != length(elt1,t2tb(sK1)) | nil(elt1) = prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)) | ~spl15_18), 15.57/2.37 inference(superposition,[],[f400,f1180])). 15.57/2.37 tff(f400,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (0 != length(X0,X1) | nil(X0) = X1) )), 15.57/2.37 inference(cnf_transformation,[],[f309])). 15.57/2.37 tff(f309,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | 0 != length(X0,X1)) & (0 = length(X0,X1) | nil(X0) != X1))), 15.57/2.37 inference(nnf_transformation,[],[f186])). 15.57/2.37 tff(f186,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 <=> 0 = length(X0,X1))), 15.57/2.37 inference(rectify,[],[f23])). 15.57/2.37 tff(f23,axiom,( 15.57/2.37 ! [X0 : ty,X9 : uni] : (nil(X0) = X9 <=> 0 = length(X0,X9))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)). 15.57/2.37 tff(f1182,plain,( 15.57/2.37 spl15_18 | ~spl15_11), 15.57/2.37 inference(avatar_split_clause,[],[f1177,f637,f1179])). 15.57/2.37 tff(f1177,plain,( 15.57/2.37 length(elt1,t2tb(sK1)) = length(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~spl15_11), 15.57/2.37 inference(resolution,[],[f439,f638])). 15.57/2.37 tff(f1181,plain,( 15.57/2.37 spl15_18 | ~spl15_3), 15.57/2.37 inference(avatar_split_clause,[],[f1176,f483,f1179])). 15.57/2.37 tff(f1176,plain,( 15.57/2.37 length(elt1,t2tb(sK1)) = length(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~spl15_3), 15.57/2.37 inference(resolution,[],[f439,f484])). 15.57/2.37 tff(f959,plain,( 15.57/2.37 spl15_17 | ~spl15_10), 15.57/2.37 inference(avatar_split_clause,[],[f954,f623,f957])). 15.57/2.37 tff(f957,plain,( 15.57/2.37 spl15_17 <=> sorted(tb2t(cons(elt1,witness(elt1),nil(elt1))))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_17])])). 15.57/2.37 tff(f623,plain,( 15.57/2.37 spl15_10 <=> witness(elt1) = t2tb1(tb2t1(witness(elt1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_10])])). 15.57/2.37 tff(f954,plain,( 15.57/2.37 sorted(tb2t(cons(elt1,witness(elt1),nil(elt1)))) | ~spl15_10), 15.57/2.37 inference(superposition,[],[f346,f624])). 15.57/2.37 tff(f624,plain,( 15.57/2.37 witness(elt1) = t2tb1(tb2t1(witness(elt1))) | ~spl15_10), 15.57/2.37 inference(avatar_component_clause,[],[f623])). 15.57/2.37 tff(f848,plain,( 15.57/2.37 spl15_16 | ~spl15_14), 15.57/2.37 inference(avatar_split_clause,[],[f840,f836,f846])). 15.57/2.37 tff(f840,plain,( 15.57/2.37 0 = num_occ(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),nil(elt1)) | ~spl15_14), 15.57/2.37 inference(resolution,[],[f837,f381])). 15.57/2.37 tff(f844,plain,( 15.57/2.37 spl15_15 | ~spl15_14), 15.57/2.37 inference(avatar_split_clause,[],[f839,f836,f842])). 15.57/2.37 tff(f839,plain,( 15.57/2.37 sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) = t2tb1(tb2t1(sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))))) | ~spl15_14), 15.57/2.37 inference(resolution,[],[f837,f357])). 15.57/2.37 tff(f838,plain,( 15.57/2.37 spl15_14 | spl15_7), 15.57/2.37 inference(avatar_split_clause,[],[f833,f509,f836])). 15.57/2.37 tff(f833,plain,( 15.57/2.37 sort(elt1,sK12(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))) | spl15_7), 15.57/2.37 inference(resolution,[],[f427,f510])). 15.57/2.37 tff(f697,plain,( 15.57/2.37 spl15_13 | ~spl15_12), 15.57/2.37 inference(avatar_split_clause,[],[f692,f653,f695])). 15.57/2.37 tff(f653,plain,( 15.57/2.37 spl15_12 <=> 1 = abs(-1)), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_12])])). 15.57/2.37 tff(f692,plain,( 15.57/2.37 1 = abs(1) | ~spl15_12), 15.57/2.37 inference(superposition,[],[f551,f654])). 15.57/2.37 tff(f654,plain,( 15.57/2.37 1 = abs(-1) | ~spl15_12), 15.57/2.37 inference(avatar_component_clause,[],[f653])). 15.57/2.37 tff(f655,plain,( 15.57/2.37 spl15_12), 15.57/2.37 inference(avatar_split_clause,[],[f651,f653])). 15.57/2.37 tff(f651,plain,( 15.57/2.37 1 = abs(-1)), 15.57/2.37 inference(evaluation,[],[f649])). 15.57/2.37 tff(f649,plain,( 15.57/2.37 $less(0,0) | $uminus(-1) = abs(-1)), 15.57/2.37 inference(resolution,[],[f590,f349])). 15.57/2.37 tff(f639,plain,( 15.57/2.37 spl15_11 | ~spl15_3), 15.57/2.37 inference(avatar_split_clause,[],[f635,f483,f637])). 15.57/2.37 tff(f635,plain,( 15.57/2.37 permut(elt1,t2tb(sK1),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))) | ~spl15_3), 15.57/2.37 inference(resolution,[],[f438,f484])). 15.57/2.37 tff(f625,plain,( 15.57/2.37 spl15_10), 15.57/2.37 inference(avatar_split_clause,[],[f619,f623])). 15.57/2.37 tff(f619,plain,( 15.57/2.37 witness(elt1) = t2tb1(tb2t1(witness(elt1)))), 15.57/2.37 inference(resolution,[],[f357,f337])). 15.57/2.37 tff(f337,plain,( 15.57/2.37 ( ! [X0:ty] : (sort(X0,witness(X0))) )), 15.57/2.37 inference(cnf_transformation,[],[f17])). 15.57/2.37 tff(f17,axiom,( 15.57/2.37 ! [X0 : ty] : sort(X0,witness(X0))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort)). 15.57/2.37 tff(f617,plain,( 15.57/2.37 spl15_9), 15.57/2.37 inference(avatar_split_clause,[],[f611,f615])). 15.57/2.37 tff(f611,plain,( 15.57/2.37 $less(0,abs(1))), 15.57/2.37 inference(superposition,[],[f585,f527])). 15.57/2.37 tff(f556,plain,( 15.57/2.37 spl15_8), 15.57/2.37 inference(avatar_split_clause,[],[f550,f554])). 15.57/2.37 tff(f554,plain,( 15.57/2.37 spl15_8 <=> 0 = abs(0)), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_8])])). 15.57/2.37 tff(f550,plain,( 15.57/2.37 0 = abs(0)), 15.57/2.37 inference(resolution,[],[f350,f126])). 15.57/2.37 tff(f516,plain,( 15.57/2.37 spl15_6), 15.57/2.37 inference(avatar_contradiction_clause,[],[f515])). 15.57/2.37 tff(f515,plain,( 15.57/2.37 $false | spl15_6), 15.57/2.37 inference(resolution,[],[f358,f505])). 15.57/2.37 tff(f505,plain,( 15.57/2.37 ~permut(elt1,nil(elt1),nil(elt1)) | spl15_6), 15.57/2.37 inference(avatar_component_clause,[],[f504])). 15.57/2.37 tff(f504,plain,( 15.57/2.37 spl15_6 <=> permut(elt1,nil(elt1),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_6])])). 15.57/2.37 tff(f358,plain,( 15.57/2.37 ( ! [X0:ty,X1:uni] : (permut(X0,X1,X1)) )), 15.57/2.37 inference(cnf_transformation,[],[f157])). 15.57/2.37 tff(f157,plain,( 15.57/2.37 ! [X0 : ty,X1 : uni] : permut(X0,X1,X1)), 15.57/2.37 inference(rectify,[],[f30])). 15.57/2.37 tff(f30,axiom,( 15.57/2.37 ! [X0 : ty,X9 : uni] : permut(X0,X9,X9)), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_refl)). 15.57/2.37 tff(f511,plain,( 15.57/2.37 ~spl15_7 | spl15_1), 15.57/2.37 inference(avatar_split_clause,[],[f507,f476,f509])). 15.57/2.37 tff(f476,plain,( 15.57/2.37 spl15_1 <=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_1])])). 15.57/2.37 tff(f507,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_1), 15.57/2.37 inference(forward_demodulation,[],[f477,f348])). 15.57/2.37 tff(f348,plain,( 15.57/2.37 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 15.57/2.37 inference(cnf_transformation,[],[f151])). 15.57/2.37 tff(f477,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) | spl15_1), 15.57/2.37 inference(avatar_component_clause,[],[f476])). 15.57/2.37 tff(f506,plain,( 15.57/2.37 ~spl15_6 | spl15_2), 15.57/2.37 inference(avatar_split_clause,[],[f502,f479,f504])). 15.57/2.37 tff(f479,plain,( 15.57/2.37 spl15_2 <=> permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_2])])). 15.57/2.37 tff(f502,plain,( 15.57/2.37 ~permut(elt1,nil(elt1),nil(elt1)) | spl15_2), 15.57/2.37 inference(forward_demodulation,[],[f501,f363])). 15.57/2.37 tff(f501,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,0,nil(elt1)),nil(elt1)) | spl15_2), 15.57/2.37 inference(forward_demodulation,[],[f480,f347])). 15.57/2.37 tff(f480,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) | spl15_2), 15.57/2.37 inference(avatar_component_clause,[],[f479])). 15.57/2.37 tff(f493,plain,( 15.57/2.37 spl15_5), 15.57/2.37 inference(avatar_split_clause,[],[f333,f491])). 15.57/2.37 tff(f491,plain,( 15.57/2.37 spl15_5 <=> sorted(tb2t(nil(elt1)))), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_5])])). 15.57/2.37 tff(f333,plain,( 15.57/2.37 sorted(tb2t(nil(elt1)))), 15.57/2.37 inference(cnf_transformation,[],[f20])). 15.57/2.37 tff(f20,axiom,( 15.57/2.37 sorted(tb2t(nil(elt1)))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_Nil)). 15.57/2.37 tff(f489,plain,( 15.57/2.37 ~spl15_4), 15.57/2.37 inference(avatar_split_clause,[],[f332,f487])). 15.57/2.37 tff(f487,plain,( 15.57/2.37 spl15_4 <=> false = true), 15.57/2.37 introduced(avatar_definition,[new_symbols(naming,[spl15_4])])). 15.57/2.37 tff(f332,plain,( 15.57/2.37 false != true), 15.57/2.37 inference(cnf_transformation,[],[f73])). 15.57/2.37 tff(f73,axiom,( 15.57/2.37 false != true), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 15.57/2.37 tff(f485,plain,( 15.57/2.37 spl15_3 | ~spl15_2), 15.57/2.37 inference(avatar_split_clause,[],[f330,f479,f483])). 15.57/2.37 tff(f330,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) | permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))), 15.57/2.37 inference(cnf_transformation,[],[f299])). 15.57/2.37 tff(f299,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) | (~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) & permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)))), 15.57/2.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f234,f298])). 15.57/2.37 tff(f298,plain,( 15.57/2.37 ? [X0 : elt,X1 : list_elt] : (~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))) & permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1))) => (~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) & permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)))), 15.57/2.37 introduced(choice_axiom,[])). 15.57/2.37 tff(f234,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) | ? [X0 : elt,X1 : list_elt] : (~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))) & permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)))), 15.57/2.37 inference(ennf_transformation,[],[f139])). 15.57/2.37 tff(f139,plain,( 15.57/2.37 ~(permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) & ! [X0 : elt,X1 : list_elt] : (permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))))), 15.57/2.37 inference(rectify,[],[f78])). 15.57/2.37 tff(f78,negated_conjecture,( 15.57/2.37 ~(permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) & ! [X6 : elt,X8 : list_elt] : (permut(elt1,prefix(elt1,length(elt1,t2tb(X8)),t2tb(X8)),t2tb(X8)) => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X6),t2tb(X8))),cons(elt1,t2tb1(X6),t2tb(X8))),cons(elt1,t2tb1(X6),t2tb(X8)))))), 15.57/2.37 inference(negated_conjecture,[],[f77])). 15.57/2.37 tff(f77,conjecture,( 15.57/2.37 permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) & ! [X6 : elt,X8 : list_elt] : (permut(elt1,prefix(elt1,length(elt1,t2tb(X8)),t2tb(X8)),t2tb(X8)) => permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X6),t2tb(X8))),cons(elt1,t2tb1(X6),t2tb(X8))),cons(elt1,t2tb1(X6),t2tb(X8))))), 15.57/2.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permut_prefix)). 15.57/2.37 tff(f481,plain,( 15.57/2.37 ~spl15_1 | ~spl15_2), 15.57/2.37 inference(avatar_split_clause,[],[f331,f479,f476])). 15.57/2.37 tff(f331,plain,( 15.57/2.37 ~permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) | ~permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))), 15.57/2.37 inference(cnf_transformation,[],[f299])). 15.57/2.37 % SZS output end Proof for theBenchmark 15.57/2.37 % (27767)------------------------------ 15.57/2.37 % (27767)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 15.57/2.37 % (27767)Termination reason: Refutation 15.57/2.37 15.57/2.37 % (27767)Memory used [KB]: 24690 15.57/2.37 % (27767)Time elapsed: 1.925 s 15.57/2.37 % (27767)------------------------------ 15.57/2.37 % (27767)------------------------------ 15.57/2.37 % (27766)Success in time 2.003 s 15.57/2.38 EOF