0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.10/0.31 % Computer : n008.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 06:53:59 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.48 % (24729)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.16/0.49 % (24746)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.16/0.49 % (24738)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 0.16/0.49 % (24737)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.16/0.49 % (24745)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.16/0.50 % (24730)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.16/0.51 % (24724)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.16/0.52 % (24732)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.16/0.52 % (24731)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.16/0.52 % (24725)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.16/0.52 % (24727)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.16/0.53 % (24741)WARNING: option uwaf not known. 0.16/0.53 % (24743)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.16/0.53 % (24752)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.16/0.53 % (24741)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.16/0.53 % (24728)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.16/0.53 % (24734)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.16/0.53 % (24723)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.16/0.53 % (24726)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.16/0.54 % (24735)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.16/0.54 % (24744)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.16/0.54 % (24733)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.16/0.55 % (24742)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.16/0.55 % (24736)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 0.16/0.55 % (24749)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.16/0.55 % (24747)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.16/0.56 % (24741)Refutation not found, incomplete strategy% (24741)------------------------------ 0.16/0.56 % (24741)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.56 % (24741)Termination reason: Refutation not found, incomplete strategy 0.16/0.56 0.16/0.56 % (24741)Memory used [KB]: 2174 0.16/0.56 % (24741)Time elapsed: 0.170 s 0.16/0.56 % (24741)------------------------------ 0.16/0.56 % (24741)------------------------------ 0.16/0.56 % (24740)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 0.16/0.56 % (24748)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.16/0.56 % (24751)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.16/0.56 % (24739)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 0.16/0.56 % (24750)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 2.42/0.71 % (24746)Refutation not found, incomplete strategy% (24746)------------------------------ 2.42/0.71 % (24746)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.42/0.71 % (24746)Termination reason: Refutation not found, incomplete strategy 2.42/0.71 2.42/0.71 % (24746)Memory used [KB]: 6140 2.42/0.71 % (24746)Time elapsed: 0.269 s 2.42/0.71 % (24746)------------------------------ 2.42/0.71 % (24746)------------------------------ 3.25/0.80 % (24753)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 4.20/0.89 % (24752)Time limit reached! 4.20/0.89 % (24752)------------------------------ 4.20/0.89 % (24752)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.20/0.89 % (24752)Termination reason: Time limit 4.20/0.89 4.20/0.89 % (24752)Memory used [KB]: 12537 4.20/0.89 % (24752)Time elapsed: 0.501 s 4.20/0.89 % (24752)------------------------------ 4.20/0.89 % (24752)------------------------------ 4.20/0.90 % (24744)Time limit reached! 4.20/0.90 % (24744)------------------------------ 4.20/0.90 % (24744)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.20/0.91 % (24744)Termination reason: Time limit 4.20/0.91 4.20/0.91 % (24744)Memory used [KB]: 13432 4.20/0.91 % (24744)Time elapsed: 0.522 s 4.20/0.91 % (24744)------------------------------ 4.20/0.91 % (24744)------------------------------ 4.72/0.96 % (24754)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 4.72/0.98 % (24739)Time limit reached! 4.72/0.98 % (24739)------------------------------ 4.72/0.98 % (24739)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.72/0.98 % (24739)Termination reason: Time limit 4.72/0.98 % (24739)Termination phase: Saturation 4.72/0.98 4.72/0.98 % (24739)Memory used [KB]: 6908 4.72/0.98 % (24739)Time elapsed: 0.600 s 4.72/0.98 % (24739)------------------------------ 4.72/0.98 % (24739)------------------------------ 4.72/1.00 % (24749)Time limit reached! 4.72/1.00 % (24749)------------------------------ 4.72/1.00 % (24749)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.72/1.00 % (24749)Termination reason: Time limit 4.72/1.00 4.72/1.00 % (24749)Memory used [KB]: 13688 4.72/1.00 % (24749)Time elapsed: 0.610 s 4.72/1.00 % (24749)------------------------------ 4.72/1.00 % (24749)------------------------------ 4.72/1.01 % (24729)Time limit reached! 4.72/1.01 % (24729)------------------------------ 4.72/1.01 % (24729)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.72/1.01 % (24729)Termination reason: Time limit 4.72/1.01 4.72/1.01 % (24729)Memory used [KB]: 7291 4.72/1.01 % (24729)Time elapsed: 0.624 s 4.72/1.01 % (24729)------------------------------ 4.72/1.01 % (24729)------------------------------ 5.18/1.03 % (24733)Time limit reached! 5.18/1.03 % (24733)------------------------------ 5.18/1.03 % (24733)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.18/1.03 % (24733)Termination reason: Time limit 5.18/1.03 5.18/1.03 % (24733)Memory used [KB]: 6268 5.18/1.03 % (24733)Time elapsed: 0.650 s 5.18/1.03 % (24733)------------------------------ 5.18/1.03 % (24733)------------------------------ 5.48/1.07 % (24756)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 5.48/1.13 % (24755)WARNING: option uwaf not known. 6.37/1.16 % (24755)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 6.37/1.18 % (24757)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 6.37/1.19 % (24758)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 6.67/1.20 % (24750)Time limit reached! 6.67/1.20 % (24750)------------------------------ 6.67/1.20 % (24750)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.67/1.20 % (24750)Termination reason: Time limit 6.67/1.20 6.67/1.20 % (24750)Memory used [KB]: 8187 6.67/1.20 % (24750)Time elapsed: 0.812 s 6.67/1.20 % (24750)------------------------------ 6.67/1.20 % (24750)------------------------------ 6.67/1.21 % (24760)lrs+1011_7_aac=none:add=large:afr=on:afp=40000:afq=1.4:bd=off:bs=on:bsr=on:fsr=off:inw=on:lma=on:nm=64:nwc=2:nicw=on:sas=z3:stl=60:sos=all:sp=reverse_arity:tha=off:updr=off:uhcvi=on_541 on theBenchmark 7.16/1.28 % (24743)Time limit reached! 7.16/1.28 % (24743)------------------------------ 7.16/1.28 % (24743)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.16/1.28 % (24743)Termination reason: Time limit 7.16/1.28 % (24743)Termination phase: Saturation 7.16/1.28 7.16/1.29 % (24743)Memory used [KB]: 7036 7.16/1.29 % (24743)Time elapsed: 0.901 s 7.16/1.29 % (24743)------------------------------ 7.16/1.29 % (24743)------------------------------ 7.55/1.32 % (24735)Time limit reached! 7.55/1.32 % (24735)------------------------------ 7.55/1.32 % (24735)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.55/1.32 % (24735)Termination reason: Time limit 7.55/1.32 7.55/1.32 % (24735)Memory used [KB]: 8187 7.55/1.32 % (24735)Time elapsed: 0.932 s 7.55/1.32 % (24735)------------------------------ 7.55/1.32 % (24735)------------------------------ 7.95/1.41 % (24736)Time limit reached! 7.95/1.41 % (24736)------------------------------ 7.95/1.41 % (24736)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.95/1.41 % (24736)Termination reason: Time limit 7.95/1.41 % (24736)Termination phase: Saturation 7.95/1.41 7.95/1.41 % (24736)Memory used [KB]: 6524 7.95/1.41 % (24736)Time elapsed: 1.0000 s 7.95/1.41 % (24736)------------------------------ 7.95/1.41 % (24736)------------------------------ 8.75/1.48 % (24751)Refutation found. Thanks to Tanya! 8.75/1.48 % SZS status Theorem for theBenchmark 8.75/1.48 % SZS output start Proof for theBenchmark 8.75/1.48 tff(type_def_5, type, uni: $tType). 8.75/1.48 tff(type_def_6, type, ty: $tType). 8.75/1.48 tff(type_def_7, type, bool1: $tType). 8.75/1.48 tff(type_def_8, type, tuple02: $tType). 8.75/1.48 tff(type_def_9, type, list_int: $tType). 8.75/1.48 tff(func_def_0, type, witness1: ty > uni). 8.75/1.48 tff(func_def_1, type, int: ty). 8.75/1.48 tff(func_def_2, type, real: ty). 8.75/1.48 tff(func_def_3, type, bool: ty). 8.75/1.48 tff(func_def_4, type, true1: bool1). 8.75/1.48 tff(func_def_5, type, false1: bool1). 8.75/1.48 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 8.75/1.48 tff(func_def_7, type, tuple0: ty). 8.75/1.48 tff(func_def_8, type, tuple03: tuple02). 8.75/1.48 tff(func_def_9, type, qtmark: ty). 8.75/1.48 tff(func_def_10, type, list: ty > ty). 8.75/1.48 tff(func_def_11, type, nil: ty > uni). 8.75/1.48 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 8.75/1.48 tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni). 8.75/1.48 tff(func_def_14, type, cons_proj_11: (ty * uni) > uni). 8.75/1.48 tff(func_def_15, type, cons_proj_21: (ty * uni) > uni). 8.75/1.48 tff(func_def_16, type, t2tb: list_int > uni). 8.75/1.48 tff(func_def_17, type, tb2t: uni > list_int). 8.75/1.48 tff(func_def_18, type, t2tb1: $int > uni). 8.75/1.48 tff(func_def_19, type, tb2t1: uni > $int). 8.75/1.48 tff(func_def_20, type, infix_plpl: (ty * uni * uni) > uni). 8.75/1.48 tff(func_def_21, type, length1: (ty * uni) > $int). 8.75/1.48 tff(func_def_26, type, sK0: $int). 8.75/1.48 tff(func_def_27, type, sK1: list_int). 8.75/1.48 tff(func_def_28, type, sK2: $int). 8.75/1.48 tff(func_def_29, type, sK3: list_int). 8.75/1.48 tff(func_def_30, type, sK4: bool1). 8.75/1.48 tff(func_def_31, type, sK5: $int). 8.75/1.48 tff(func_def_32, type, sK6: list_int). 8.75/1.48 tff(func_def_33, type, sK7: list_int > $int). 8.75/1.48 tff(func_def_34, type, sK8: list_int > $int). 8.75/1.48 tff(func_def_35, type, sK9: list_int > list_int). 8.75/1.48 tff(func_def_36, type, sK10: list_int > $int). 8.75/1.48 tff(func_def_37, type, sK11: (list_int * list_int) > $int). 8.75/1.48 tff(func_def_38, type, sK12: (list_int * list_int) > $int). 8.75/1.48 tff(func_def_39, type, sK13: ($int * list_int) > $int). 8.75/1.48 tff(func_def_40, type, sK14: (ty * uni * uni) > uni). 8.75/1.48 tff(func_def_41, type, sK15: (ty * uni * uni) > uni). 8.75/1.48 tff(pred_def_1, type, sort1: (ty * uni) > $o). 8.75/1.48 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 8.75/1.48 tff(pred_def_3, type, sorted1: list_int > $o). 8.75/1.48 tff(f2825,plain,( 8.75/1.48 $false), 8.75/1.48 inference(avatar_sat_refutation,[],[f355,f357,f361,f363,f369,f370,f372,f374,f375,f376,f378,f380,f382,f384,f389,f391,f392,f394,f396,f398,f400,f401,f404,f406,f408,f410,f411,f413,f415,f417,f419,f420,f422,f424,f426,f430,f431,f435,f458,f473,f480,f484,f488,f521,f526,f531,f536,f541,f551,f570,f577,f583,f588,f590,f596,f600,f604,f608,f612,f616,f620,f624,f654,f658,f662,f666,f670,f671,f675,f689,f702,f706,f710,f714,f728,f744,f770,f772,f777,f779,f783,f790,f794,f796,f800,f804,f808,f820,f824,f828,f832,f846,f850,f854,f858,f862,f885,f889,f893,f910,f925,f939,f955,f970,f985,f997,f1001,f1005,f1030,f1037,f1041,f1046,f1050,f1054,f1057,f1069,f1073,f1077,f1081,f1089,f1104,f1108,f1124,f1128,f1177,f1192,f1237,f1255,f1259,f1284,f1291,f1296,f1300,f1378,f1407,f1480,f1484,f1501,f1505,f1521,f1525,f1529,f1536,f1552,f1556,f1560,f1567,f1593,f1642,f1663,f1668,f1703,f1724,f1729,f1754,f1778,f1796,f1800,f1804,f1808,f1812,f1816,f1834,f1835,f1840,f1844,f1854,f1856,f1861,f1863,f1869,f1874,f1885,f1893,f1900,f1956,f1960,f1964,f2007,f2023,f2036,f2051,f2064,f2134,f2146,f2191,f2195,f2199,f2200,f2204,f2208,f2209,f2213,f2217,f2221,f2222,f2226,f2235,f2236,f2238,f2240,f2242,f2244,f2246,f2248,f2250,f2251,f2257,f2258,f2262,f2269,f2320,f2321,f2322,f2326,f2341,f2345,f2349,f2388,f2395,f2399,f2403,f2407,f2537,f2578,f2604,f2609,f2613,f2618,f2622,f2624,f2628,f2632,f2633,f2667,f2668,f2670,f2820,f2824])). 8.75/1.48 tff(f2824,plain,( 8.75/1.48 ~spl16_23 | ~spl16_6 | ~spl16_13), 8.75/1.48 inference(avatar_split_clause,[],[f2816,f471,f353,f546])). 8.75/1.48 tff(f546,plain,( 8.75/1.48 spl16_23 <=> sort1(int,t2tb1(sK0))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_23])])). 8.75/1.48 tff(f353,plain,( 8.75/1.48 spl16_6 <=> mem(int,t2tb1(sK0),t2tb(sK1))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_6])])). 8.75/1.48 tff(f471,plain,( 8.75/1.48 spl16_13 <=> nil(int) = t2tb(sK1)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_13])])). 8.75/1.48 tff(f2816,plain,( 8.75/1.48 ~sort1(int,t2tb1(sK0)) | (~spl16_6 | ~spl16_13)), 8.75/1.48 inference(resolution,[],[f516,f243])). 8.75/1.48 tff(f243,plain,( 8.75/1.48 ( ! [X0:ty,X1:uni] : (~mem(X0,X1,nil(X0)) | ~sort1(X0,X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f120])). 8.75/1.48 tff(f120,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & (X1 = X2 | mem(X0,X1,X3) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort1(X0,X2))) | ~sort1(X0,X1))), 8.75/1.48 inference(flattening,[],[f119])). 8.75/1.48 tff(f119,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & ((X1 = X2 | mem(X0,X1,X3)) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort1(X0,X2))) | ~sort1(X0,X1))), 8.75/1.48 inference(nnf_transformation,[],[f93])). 8.75/1.48 tff(f93,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((mem(X0,X1,cons(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3))) | ~sort1(X0,X2))) | ~sort1(X0,X1))), 8.75/1.48 inference(ennf_transformation,[],[f69])). 8.75/1.48 tff(f69,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => (~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (sort1(X0,X2) => (mem(X0,X1,cons(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3))))))), 8.75/1.48 inference(rectify,[],[f25])). 8.75/1.48 tff(f25,axiom,( 8.75/1.48 ! [X3 : ty,X0 : uni] : (sort1(X3,X0) => (~mem(X3,X0,nil(X3)) & ! [X6 : uni,X13 : uni] : (sort1(X3,X6) => (mem(X3,X0,cons(X3,X6,X13)) <=> (X0 = X6 | mem(X3,X0,X13))))))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 8.75/1.48 tff(f516,plain,( 8.75/1.48 ( ! [X5:uni] : (mem(int,t2tb1(sK0),X5)) ) | (~spl16_6 | ~spl16_13)), 8.75/1.48 inference(forward_demodulation,[],[f515,f237])). 8.75/1.48 tff(f237,plain,( 8.75/1.48 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 8.75/1.48 inference(cnf_transformation,[],[f67])). 8.75/1.48 tff(f67,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni] : (! [X2 : uni,X3 : uni] : infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1)) & infix_plpl(X0,nil(X0),X1) = X1)), 8.75/1.48 inference(rectify,[],[f23])). 8.75/1.48 tff(f23,axiom,( 8.75/1.48 ! [X3 : ty,X8 : uni] : (! [X0 : uni,X6 : uni] : infix_plpl(X3,cons(X3,X0,X6),X8) = cons(X3,X0,infix_plpl(X3,X6,X8)) & infix_plpl(X3,nil(X3),X8) = X8)), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 8.75/1.48 tff(f515,plain,( 8.75/1.48 ( ! [X5:uni] : (mem(int,t2tb1(sK0),infix_plpl(int,nil(int),X5))) ) | (~spl16_6 | ~spl16_13)), 8.75/1.48 inference(forward_demodulation,[],[f502,f472])). 8.75/1.48 tff(f472,plain,( 8.75/1.48 nil(int) = t2tb(sK1) | ~spl16_13), 8.75/1.48 inference(avatar_component_clause,[],[f471])). 8.75/1.48 tff(f502,plain,( 8.75/1.48 ( ! [X5:uni] : (mem(int,t2tb1(sK0),infix_plpl(int,t2tb(sK1),X5))) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f368,f273])). 8.75/1.48 tff(f273,plain,( 8.75/1.48 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X2)) )), 8.75/1.48 inference(cnf_transformation,[],[f135])). 8.75/1.48 tff(f135,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 8.75/1.48 inference(flattening,[],[f134])). 8.75/1.48 tff(f134,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | mem(X0,X1,X2)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 8.75/1.48 inference(nnf_transformation,[],[f87])). 8.75/1.48 tff(f87,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2)) <=> mem(X0,X1,infix_plpl(X0,X2,X3)))), 8.75/1.48 inference(rectify,[],[f5])). 8.75/1.48 tff(f5,axiom,( 8.75/1.48 ! [X3 : ty,X0 : uni,X7 : uni,X8 : uni] : ((mem(X3,X0,X8) | mem(X3,X0,X7)) <=> mem(X3,X0,infix_plpl(X3,X7,X8)))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_append)). 8.75/1.48 tff(f368,plain,( 8.75/1.48 mem(int,t2tb1(sK0),t2tb(sK1)) | ~spl16_6), 8.75/1.48 inference(avatar_component_clause,[],[f353])). 8.75/1.48 tff(f2820,plain,( 8.75/1.48 ~spl16_6 | spl16_9 | ~spl16_13), 8.75/1.48 inference(avatar_contradiction_clause,[],[f2803])). 8.75/1.48 tff(f2803,plain,( 8.75/1.48 $false | (~spl16_6 | spl16_9 | ~spl16_13)), 8.75/1.48 inference(resolution,[],[f516,f388])). 8.75/1.48 tff(f388,plain,( 8.75/1.48 ~mem(int,t2tb1(sK0),t2tb(sK3)) | spl16_9), 8.75/1.48 inference(avatar_component_clause,[],[f387])). 8.75/1.48 tff(f387,plain,( 8.75/1.48 spl16_9 <=> mem(int,t2tb1(sK0),t2tb(sK3))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_9])])). 8.75/1.48 tff(f2670,plain,( 8.75/1.48 spl16_4 | ~spl16_11 | ~spl16_25), 8.75/1.48 inference(avatar_split_clause,[],[f2318,f568,f433,f347])). 8.75/1.48 tff(f347,plain,( 8.75/1.48 spl16_4 <=> sorted1(sK3)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_4])])). 8.75/1.48 tff(f433,plain,( 8.75/1.48 spl16_11 <=> sorted1(sK1)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_11])])). 8.75/1.48 tff(f568,plain,( 8.75/1.48 spl16_25 <=> sK1 = tb2t(cons(int,t2tb1(sK0),t2tb(sK3)))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_25])])). 8.75/1.48 tff(f2318,plain,( 8.75/1.48 ~sorted1(sK1) | sorted1(sK3) | ~spl16_25), 8.75/1.48 inference(superposition,[],[f255,f569])). 8.75/1.48 tff(f569,plain,( 8.75/1.48 sK1 = tb2t(cons(int,t2tb1(sK0),t2tb(sK3))) | ~spl16_25), 8.75/1.48 inference(avatar_component_clause,[],[f568])). 8.75/1.48 tff(f255,plain,( 8.75/1.48 ( ! [X0:$int,X1:list_int] : (sorted1(X1) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) )), 8.75/1.48 inference(cnf_transformation,[],[f131])). 8.75/1.48 tff(f131,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : (((sorted1(X1) & ! [X2 : $int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)))) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) & (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | ~sorted1(X1) | ($less(sK13(X0,X1),X0) & mem(int,t2tb1(sK13(X0,X1)),t2tb(X1)))))), 8.75/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f129,f130])). 8.75/1.48 tff(f130,plain,( 8.75/1.48 ! [X1 : list_int,X0 : $int] : (? [X3 : $int] : ($less(X3,X0) & mem(int,t2tb1(X3),t2tb(X1))) => ($less(sK13(X0,X1),X0) & mem(int,t2tb1(sK13(X0,X1)),t2tb(X1))))), 8.75/1.48 introduced(choice_axiom,[])). 8.75/1.48 tff(f129,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : (((sorted1(X1) & ! [X2 : $int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)))) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) & (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | ~sorted1(X1) | ? [X3 : $int] : ($less(X3,X0) & mem(int,t2tb1(X3),t2tb(X1)))))), 8.75/1.48 inference(rectify,[],[f128])). 8.75/1.48 tff(f128,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : (((sorted1(X1) & ! [X2 : $int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)))) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) & (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | ~sorted1(X1) | ? [X2 : $int] : ($less(X2,X0) & mem(int,t2tb1(X2),t2tb(X1)))))), 8.75/1.48 inference(flattening,[],[f127])). 8.75/1.48 tff(f127,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : (((sorted1(X1) & ! [X2 : $int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)))) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) & (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | (~sorted1(X1) | ? [X2 : $int] : ($less(X2,X0) & mem(int,t2tb1(X2),t2tb(X1))))))), 8.75/1.48 inference(nnf_transformation,[],[f96])). 8.75/1.48 tff(f96,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : ((sorted1(X1) & ! [X2 : $int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)))) <=> sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))))), 8.75/1.48 inference(ennf_transformation,[],[f72])). 8.75/1.48 tff(f72,plain,( 8.75/1.48 ! [X0 : $int,X1 : list_int] : ((sorted1(X1) & ! [X2 : $int] : (mem(int,t2tb1(X2),t2tb(X1)) => ~$less(X2,X0))) <=> sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))))), 8.75/1.48 inference(rectify,[],[f49])). 8.75/1.48 tff(f49,plain,( 8.75/1.48 ! [X0 : $int,X9 : list_int] : ((sorted1(X9) & ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X9)) => ~$less(X1,X0))) <=> sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X9)))))), 8.75/1.48 inference(theory_normalization,[],[f38])). 8.75/1.48 tff(f38,axiom,( 8.75/1.48 ! [X0 : $int,X9 : list_int] : ((sorted1(X9) & ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X9)) => $lesseq(X0,X1))) <=> sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X9)))))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_mem)). 8.75/1.48 tff(f2668,plain,( 8.75/1.48 ~spl16_60 | ~spl16_180 | ~spl16_6 | ~spl16_166), 8.75/1.48 inference(avatar_split_clause,[],[f2657,f2233,f353,f2535,f818])). 8.75/1.48 tff(f818,plain,( 8.75/1.48 spl16_60 <=> $less(sK0,sK2)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_60])])). 8.75/1.48 tff(f2535,plain,( 8.75/1.48 spl16_180 <=> sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(sK1))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_180])])). 8.75/1.48 tff(f2233,plain,( 8.75/1.48 spl16_166 <=> t2tb1(sK0) = t2tb1(sK2)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_166])])). 8.75/1.48 tff(f2657,plain,( 8.75/1.48 ~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(sK1)))) | ~$less(sK0,sK2) | (~spl16_6 | ~spl16_166)), 8.75/1.48 inference(superposition,[],[f499,f2234])). 8.75/1.48 tff(f2234,plain,( 8.75/1.48 t2tb1(sK0) = t2tb1(sK2) | ~spl16_166), 8.75/1.48 inference(avatar_component_clause,[],[f2233])). 8.75/1.48 tff(f499,plain,( 8.75/1.48 ( ! [X0:$int] : (~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(sK1)))) | ~$less(sK0,X0)) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f368,f254])). 8.75/1.48 tff(f254,plain,( 8.75/1.48 ( ! [X2:$int,X0:$int,X1:list_int] : (~$less(X2,X0) | ~mem(int,t2tb1(X2),t2tb(X1)) | ~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1))))) )), 8.75/1.48 inference(cnf_transformation,[],[f131])). 8.75/1.48 tff(f2667,plain,( 8.75/1.48 spl16_8 | ~spl16_166), 8.75/1.48 inference(avatar_split_clause,[],[f2666,f2233,f365])). 8.75/1.48 tff(f365,plain,( 8.75/1.48 spl16_8 <=> sK0 = sK2), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_8])])). 8.75/1.48 tff(f2666,plain,( 8.75/1.48 sK0 = sK2 | ~spl16_166), 8.75/1.48 inference(forward_demodulation,[],[f2640,f220])). 8.75/1.48 tff(f220,plain,( 8.75/1.48 ( ! [X0:$int] : (tb2t1(t2tb1(X0)) = X0) )), 8.75/1.48 inference(cnf_transformation,[],[f55])). 8.75/1.48 tff(f55,plain,( 8.75/1.48 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0), 8.75/1.48 inference(rectify,[],[f39])). 8.75/1.48 tff(f39,axiom,( 8.75/1.48 ! [X17 : $int] : tb2t1(t2tb1(X17)) = X17), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)). 8.75/1.48 tff(f2640,plain,( 8.75/1.48 sK2 = tb2t1(t2tb1(sK0)) | ~spl16_166), 8.75/1.48 inference(superposition,[],[f220,f2234])). 8.75/1.48 tff(f2633,plain,( 8.75/1.48 spl16_145 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f1912,f1891,f1872])). 8.75/1.48 tff(f1872,plain,( 8.75/1.48 spl16_145 <=> t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK3))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_145])])). 8.75/1.48 tff(f1891,plain,( 8.75/1.48 spl16_146 <=> sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK3)))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_146])])). 8.75/1.48 tff(f1912,plain,( 8.75/1.48 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK3)) | ~spl16_146), 8.75/1.48 inference(superposition,[],[f222,f1892])). 8.75/1.48 tff(f1892,plain,( 8.75/1.48 sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK3))) | ~spl16_146), 8.75/1.48 inference(avatar_component_clause,[],[f1891])). 8.75/1.48 tff(f222,plain,( 8.75/1.48 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 8.75/1.48 inference(cnf_transformation,[],[f57])). 8.75/1.48 tff(f57,plain,( 8.75/1.48 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 8.75/1.48 inference(rectify,[],[f12])). 8.75/1.48 tff(f12,axiom,( 8.75/1.48 ! [X12 : uni] : t2tb(tb2t(X12)) = X12), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 8.75/1.48 tff(f2632,plain,( 8.75/1.48 spl16_186 | ~spl16_11 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f1906,f1891,f433,f2630])). 8.75/1.48 tff(f2630,plain,( 8.75/1.48 spl16_186 <=> ! [X0 : $int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK5),t2tb(sK3))))) | $less(sK5,X0))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_186])])). 8.75/1.48 tff(f1906,plain,( 8.75/1.48 ( ! [X0:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK5),t2tb(sK3))))) | $less(sK5,X0)) ) | ~spl16_146), 8.75/1.48 inference(superposition,[],[f263,f1892])). 8.75/1.48 tff(f263,plain,( 8.75/1.48 ( ! [X2:list_int,X0:$int,X1:$int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) | $less(X1,X0)) )), 8.75/1.48 inference(cnf_transformation,[],[f102])). 8.75/1.48 tff(f102,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) | $less(X1,X0))), 8.75/1.48 inference(flattening,[],[f101])). 8.75/1.48 tff(f101,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : ((sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2))))) | $less(X1,X0))), 8.75/1.48 inference(ennf_transformation,[],[f79])). 8.75/1.48 tff(f79,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : (~$less(X1,X0) => (sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) => sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2)))))))), 8.75/1.48 inference(rectify,[],[f51])). 8.75/1.48 tff(f51,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X9 : list_int] : (~$less(X1,X0) => (sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X9)))) => sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X9)))))))), 8.75/1.48 inference(theory_normalization,[],[f7])). 8.75/1.48 tff(f7,axiom,( 8.75/1.48 ! [X0 : $int,X1 : $int,X9 : list_int] : ($lesseq(X0,X1) => (sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X9)))) => sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X9)))))))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_Two)). 8.75/1.48 tff(f2628,plain,( 8.75/1.48 spl16_185 | ~spl16_11 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f1907,f1891,f433,f2626])). 8.75/1.48 tff(f2626,plain,( 8.75/1.48 spl16_185 <=> ! [X1 : $int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK3))) | ~$less(X1,sK5))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_185])])). 8.75/1.48 tff(f1907,plain,( 8.75/1.48 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK3))) | ~$less(X1,sK5)) ) | ~spl16_146), 8.75/1.48 inference(superposition,[],[f261,f1892])). 8.75/1.48 tff(f261,plain,( 8.75/1.48 ( ! [X2:list_int,X0:$int,X1:$int] : (~mem(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) | ~$less(X0,X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f98])). 8.75/1.48 tff(f98,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : (~mem(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) | ~$less(X0,X1))), 8.75/1.48 inference(flattening,[],[f97])). 8.75/1.48 tff(f97,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : ((~mem(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2))) | ~sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2))))) | ~$less(X0,X1))), 8.75/1.48 inference(ennf_transformation,[],[f78])). 8.75/1.48 tff(f78,plain,( 8.75/1.48 ! [X0 : $int,X1 : $int,X2 : list_int] : ($less(X0,X1) => (sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X2)))) => ~mem(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X2)))))), 8.75/1.48 inference(rectify,[],[f9])). 8.75/1.48 tff(f9,axiom,( 8.75/1.48 ! [X0 : $int,X1 : $int,X9 : list_int] : ($less(X0,X1) => (sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X9)))) => ~mem(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X9)))))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_not_mem)). 8.75/1.48 tff(f2624,plain,( 8.75/1.48 ~spl16_84 | spl16_184 | ~spl16_58 | ~spl16_145 | ~spl16_166), 8.75/1.48 inference(avatar_split_clause,[],[f2623,f2233,f1872,f802,f2620,f1032])). 8.75/1.48 tff(f1032,plain,( 8.75/1.48 spl16_84 <=> sort1(int,t2tb1(sK5))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_84])])). 8.75/1.48 tff(f2620,plain,( 8.75/1.48 spl16_184 <=> t2tb1(sK0) = t2tb1(sK5)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_184])])). 8.75/1.48 tff(f802,plain,( 8.75/1.48 spl16_58 <=> t2tb1(sK2) = cons_proj_11(int,t2tb(sK1))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_58])])). 8.75/1.48 tff(f2623,plain,( 8.75/1.48 t2tb1(sK0) = t2tb1(sK5) | ~sort1(int,t2tb1(sK5)) | (~spl16_58 | ~spl16_145 | ~spl16_166)), 8.75/1.48 inference(forward_demodulation,[],[f1943,f2234])). 8.75/1.48 tff(f1943,plain,( 8.75/1.48 t2tb1(sK2) = t2tb1(sK5) | ~sort1(int,t2tb1(sK5)) | (~spl16_58 | ~spl16_145)), 8.75/1.48 inference(forward_demodulation,[],[f1938,f803])). 8.75/1.48 tff(f803,plain,( 8.75/1.48 t2tb1(sK2) = cons_proj_11(int,t2tb(sK1)) | ~spl16_58), 8.75/1.48 inference(avatar_component_clause,[],[f802])). 8.75/1.48 tff(f1938,plain,( 8.75/1.48 t2tb1(sK5) = cons_proj_11(int,t2tb(sK1)) | ~sort1(int,t2tb1(sK5)) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f266,f1873])). 8.75/1.48 tff(f1873,plain,( 8.75/1.48 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK3)) | ~spl16_145), 8.75/1.48 inference(avatar_component_clause,[],[f1872])). 8.75/1.48 tff(f266,plain,( 8.75/1.48 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f105])). 8.75/1.48 tff(f105,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))), 8.75/1.48 inference(ennf_transformation,[],[f82])). 8.75/1.48 tff(f82,plain,( 8.75/1.48 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => cons_proj_11(X0,cons(X0,X1,X2)) = X1)), 8.75/1.48 inference(rectify,[],[f2])). 8.75/1.48 tff(f2,axiom,( 8.75/1.48 ! [X3 : ty,X4 : uni,X5 : uni] : (sort1(X3,X4) => cons_proj_11(X3,cons(X3,X4,X5)) = X4)), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def1)). 8.75/1.48 tff(f2622,plain,( 8.75/1.48 spl16_184 | ~spl16_84 | ~spl16_6 | ~spl16_24 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2127,f1872,f549,f353,f1032,f2620])). 8.75/1.48 tff(f549,plain,( 8.75/1.48 spl16_24 <=> ! [X2 : uni] : (t2tb1(sK0) = X2 | ~sort1(int,X2) | ~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK3))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_24])])). 8.75/1.48 tff(f2127,plain,( 8.75/1.48 ~mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,t2tb1(sK5)) | t2tb1(sK0) = t2tb1(sK5) | (~spl16_24 | ~spl16_145)), 8.75/1.48 inference(superposition,[],[f550,f1873])). 8.75/1.48 tff(f550,plain,( 8.75/1.48 ( ! [X2:uni] : (~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK3))) | ~sort1(int,X2) | t2tb1(sK0) = X2) ) | ~spl16_24), 8.75/1.48 inference(avatar_component_clause,[],[f549])). 8.75/1.48 tff(f2618,plain,( 8.75/1.48 ~spl16_84 | spl16_183 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f1933,f1872,f2616,f1032])). 8.75/1.48 tff(f2616,plain,( 8.75/1.48 spl16_183 <=> ! [X6 : uni] : (~mem(int,X6,t2tb(sK1)) | ~sort1(int,X6) | mem(int,X6,t2tb(sK3)) | t2tb1(sK5) = X6)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_183])])). 8.75/1.48 tff(f1933,plain,( 8.75/1.48 ( ! [X6:uni] : (~mem(int,X6,t2tb(sK1)) | t2tb1(sK5) = X6 | mem(int,X6,t2tb(sK3)) | ~sort1(int,t2tb1(sK5)) | ~sort1(int,X6)) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f240,f1873])). 8.75/1.48 tff(f240,plain,( 8.75/1.48 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (X1 = X2 | mem(X0,X1,X3) | ~mem(X0,X1,cons(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f120])). 8.75/1.48 tff(f2613,plain,( 8.75/1.48 ~spl16_90 | ~spl16_180 | ~spl16_6 | ~spl16_141 | ~spl16_166), 8.75/1.48 inference(avatar_split_clause,[],[f2611,f2233,f1838,f353,f2535,f1067])). 8.75/1.48 tff(f1067,plain,( 8.75/1.48 spl16_90 <=> $less(sK0,sK5)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_90])])). 8.75/1.48 tff(f1838,plain,( 8.75/1.48 spl16_141 <=> t2tb1(sK2) = t2tb1(sK5)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_141])])). 8.75/1.48 tff(f2611,plain,( 8.75/1.48 ~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(sK1)))) | ~$less(sK0,sK5) | (~spl16_6 | ~spl16_141 | ~spl16_166)), 8.75/1.48 inference(forward_demodulation,[],[f2567,f2234])). 8.75/1.48 tff(f2567,plain,( 8.75/1.48 ~sorted1(tb2t(cons(int,t2tb1(sK2),t2tb(sK1)))) | ~$less(sK0,sK5) | (~spl16_6 | ~spl16_141)), 8.75/1.48 inference(superposition,[],[f499,f1839])). 8.75/1.48 tff(f1839,plain,( 8.75/1.48 t2tb1(sK2) = t2tb1(sK5) | ~spl16_141), 8.75/1.48 inference(avatar_component_clause,[],[f1838])). 8.75/1.48 tff(f2609,plain,( 8.75/1.48 ~spl16_103 | ~spl16_6 | ~spl16_27 | ~spl16_141 | ~spl16_166 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2607,f2324,f2233,f1838,f581,f353,f1257])). 8.75/1.48 tff(f1257,plain,( 8.75/1.48 spl16_103 <=> $less(sK5,sK0)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_103])])). 8.75/1.48 tff(f581,plain,( 8.75/1.48 spl16_27 <=> ! [X1 : $int] : (~$less(X1,sK0) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK0),t2tb(sK3))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_27])])). 8.75/1.48 tff(f2324,plain,( 8.75/1.48 spl16_170 <=> t2tb(sK1) = cons(int,t2tb1(sK0),t2tb(sK3))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_170])])). 8.75/1.48 tff(f2607,plain,( 8.75/1.48 ~mem(int,t2tb1(sK0),t2tb(sK1)) | ~$less(sK5,sK0) | (~spl16_27 | ~spl16_141 | ~spl16_166 | ~spl16_170)), 8.75/1.48 inference(forward_demodulation,[],[f2572,f2234])). 8.75/1.48 tff(f2572,plain,( 8.75/1.48 ~mem(int,t2tb1(sK2),t2tb(sK1)) | ~$less(sK5,sK0) | (~spl16_27 | ~spl16_141 | ~spl16_170)), 8.75/1.48 inference(superposition,[],[f2327,f1839])). 8.75/1.48 tff(f2327,plain,( 8.75/1.48 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK0)) ) | (~spl16_27 | ~spl16_170)), 8.75/1.48 inference(forward_demodulation,[],[f582,f2325])). 8.75/1.48 tff(f2325,plain,( 8.75/1.48 t2tb(sK1) = cons(int,t2tb1(sK0),t2tb(sK3)) | ~spl16_170), 8.75/1.48 inference(avatar_component_clause,[],[f2324])). 8.75/1.48 tff(f582,plain,( 8.75/1.48 ( ! [X1:$int] : (~$less(X1,sK0) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK0),t2tb(sK3)))) ) | ~spl16_27), 8.75/1.48 inference(avatar_component_clause,[],[f581])). 8.75/1.48 tff(f2604,plain,( 8.75/1.48 ~spl16_182 | ~spl16_6 | ~spl16_30 | ~spl16_32 | ~spl16_141 | ~spl16_166), 8.75/1.48 inference(avatar_split_clause,[],[f2600,f2233,f1838,f606,f598,f353,f2602])). 8.75/1.48 tff(f2602,plain,( 8.75/1.48 spl16_182 <=> $less(sK5,sK2)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_182])])). 8.75/1.48 tff(f598,plain,( 8.75/1.48 spl16_30 <=> t2tb(sK1) = cons(int,t2tb1(sK2),t2tb(sK3))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_30])])). 8.75/1.48 tff(f606,plain,( 8.75/1.48 spl16_32 <=> ! [X1 : $int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK2),t2tb(sK3))) | ~$less(X1,sK2))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_32])])). 8.75/1.48 tff(f2600,plain,( 8.75/1.48 ~mem(int,t2tb1(sK0),t2tb(sK1)) | ~$less(sK5,sK2) | (~spl16_30 | ~spl16_32 | ~spl16_141 | ~spl16_166)), 8.75/1.48 inference(forward_demodulation,[],[f2599,f2234])). 8.75/1.48 tff(f2599,plain,( 8.75/1.48 ~mem(int,t2tb1(sK2),t2tb(sK1)) | ~$less(sK5,sK2) | (~spl16_30 | ~spl16_32 | ~spl16_141)), 8.75/1.48 inference(forward_demodulation,[],[f2570,f599])). 8.75/1.48 tff(f599,plain,( 8.75/1.48 t2tb(sK1) = cons(int,t2tb1(sK2),t2tb(sK3)) | ~spl16_30), 8.75/1.48 inference(avatar_component_clause,[],[f598])). 8.75/1.48 tff(f2570,plain,( 8.75/1.48 ~mem(int,t2tb1(sK2),cons(int,t2tb1(sK2),t2tb(sK3))) | ~$less(sK5,sK2) | (~spl16_32 | ~spl16_141)), 8.75/1.48 inference(superposition,[],[f607,f1839])). 8.75/1.48 tff(f607,plain,( 8.75/1.48 ( ! [X1:$int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK2),t2tb(sK3))) | ~$less(X1,sK2)) ) | ~spl16_32), 8.75/1.48 inference(avatar_component_clause,[],[f606])). 8.75/1.48 tff(f2578,plain,( 8.75/1.48 spl16_181 | ~spl16_141), 8.75/1.48 inference(avatar_split_clause,[],[f2574,f1838,f2576])). 8.75/1.48 tff(f2576,plain,( 8.75/1.48 spl16_181 <=> sK2 = sK5), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_181])])). 8.75/1.48 tff(f2574,plain,( 8.75/1.48 sK2 = sK5 | ~spl16_141), 8.75/1.48 inference(forward_demodulation,[],[f2550,f220])). 8.75/1.48 tff(f2550,plain,( 8.75/1.48 sK5 = tb2t1(t2tb1(sK2)) | ~spl16_141), 8.75/1.48 inference(superposition,[],[f220,f1839])). 8.75/1.48 tff(f2537,plain,( 8.75/1.48 spl16_180 | ~spl16_11 | spl16_1 | ~spl16_30), 8.75/1.48 inference(avatar_split_clause,[],[f2533,f598,f338,f433,f2535])). 8.75/1.48 tff(f338,plain,( 8.75/1.48 spl16_1 <=> $less(sK2,sK0)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_1])])). 8.75/1.48 tff(f2533,plain,( 8.75/1.48 ~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(sK1)))) | (spl16_1 | ~spl16_30)), 8.75/1.48 inference(forward_demodulation,[],[f2477,f221])). 8.75/1.48 tff(f221,plain,( 8.75/1.48 ( ! [X0:list_int] : (tb2t(t2tb(X0)) = X0) )), 8.75/1.48 inference(cnf_transformation,[],[f56])). 8.75/1.48 tff(f56,plain,( 8.75/1.48 ! [X0 : list_int] : tb2t(t2tb(X0)) = X0), 8.75/1.48 inference(rectify,[],[f31])). 8.75/1.48 tff(f31,axiom,( 8.75/1.48 ! [X17 : list_int] : tb2t(t2tb(X17)) = X17), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 8.75/1.48 tff(f2477,plain,( 8.75/1.48 sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(sK1)))) | ~sorted1(tb2t(t2tb(sK1))) | (spl16_1 | ~spl16_30)), 8.75/1.48 inference(superposition,[],[f450,f599])). 8.75/1.48 tff(f450,plain,( 8.75/1.48 ( ! [X0:list_int] : (sorted1(tb2t(cons(int,t2tb1(sK0),cons(int,t2tb1(sK2),t2tb(X0))))) | ~sorted1(tb2t(cons(int,t2tb1(sK2),t2tb(X0))))) ) | spl16_1), 8.75/1.48 inference(resolution,[],[f339,f263])). 8.75/1.48 tff(f339,plain,( 8.75/1.48 ~$less(sK2,sK0) | spl16_1), 8.75/1.48 inference(avatar_component_clause,[],[f338])). 8.75/1.48 tff(f2407,plain,( 8.75/1.48 ~spl16_11 | spl16_179 | ~spl16_27 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2380,f2324,f581,f2405,f433])). 8.75/1.48 tff(f2405,plain,( 8.75/1.48 spl16_179 <=> ! [X2 : $int] : (~$less(sK13(X2,sK1),sK0) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK1)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_179])])). 8.75/1.48 tff(f2380,plain,( 8.75/1.48 ( ! [X2:$int] : (~$less(sK13(X2,sK1),sK0) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK1)))) | ~sorted1(sK1)) ) | (~spl16_27 | ~spl16_170)), 8.75/1.48 inference(resolution,[],[f2327,f252])). 8.75/1.48 tff(f252,plain,( 8.75/1.48 ( ! [X0:$int,X1:list_int] : (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | ~sorted1(X1) | mem(int,t2tb1(sK13(X0,X1)),t2tb(X1))) )), 8.75/1.48 inference(cnf_transformation,[],[f131])). 8.75/1.48 tff(f2403,plain,( 8.75/1.48 ~spl16_11 | spl16_178 | ~spl16_27 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2379,f2324,f581,f2401,f433])). 8.75/1.48 tff(f2401,plain,( 8.75/1.48 spl16_178 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK1),sK0) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK1)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_178])])). 8.75/1.48 tff(f2379,plain,( 8.75/1.48 ( ! [X1:list_int] : (~$less(sK12(X1,sK1),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK1)))) | ~sorted1(X1) | ~sorted1(sK1)) ) | (~spl16_27 | ~spl16_170)), 8.75/1.48 inference(resolution,[],[f2327,f247])). 8.75/1.48 tff(f247,plain,( 8.75/1.48 ( ! [X0:list_int,X1:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | mem(int,t2tb1(sK12(X0,X1)),t2tb(X1)) | ~sorted1(X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f126])). 8.75/1.48 tff(f126,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : (((sorted1(X0) & ! [X2 : $int,X3 : $int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) | ~sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1))))) & (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | ($less(sK12(X0,X1),sK11(X0,X1)) & mem(int,t2tb1(sK12(X0,X1)),t2tb(X1)) & mem(int,t2tb1(sK11(X0,X1)),t2tb(X0))) | ~sorted1(X1)))), 8.75/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f124,f125])). 8.75/1.48 tff(f125,plain,( 8.75/1.48 ! [X1 : list_int,X0 : list_int] : (? [X4 : $int,X5 : $int] : ($less(X5,X4) & mem(int,t2tb1(X5),t2tb(X1)) & mem(int,t2tb1(X4),t2tb(X0))) => ($less(sK12(X0,X1),sK11(X0,X1)) & mem(int,t2tb1(sK12(X0,X1)),t2tb(X1)) & mem(int,t2tb1(sK11(X0,X1)),t2tb(X0))))), 8.75/1.48 introduced(choice_axiom,[])). 8.75/1.48 tff(f124,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : (((sorted1(X0) & ! [X2 : $int,X3 : $int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) | ~sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1))))) & (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | ? [X4 : $int,X5 : $int] : ($less(X5,X4) & mem(int,t2tb1(X5),t2tb(X1)) & mem(int,t2tb1(X4),t2tb(X0))) | ~sorted1(X1)))), 8.75/1.48 inference(rectify,[],[f123])). 8.75/1.48 tff(f123,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : (((sorted1(X0) & ! [X2 : $int,X3 : $int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) | ~sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1))))) & (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | ? [X2 : $int,X3 : $int] : ($less(X3,X2) & mem(int,t2tb1(X3),t2tb(X1)) & mem(int,t2tb1(X2),t2tb(X0))) | ~sorted1(X1)))), 8.75/1.48 inference(flattening,[],[f122])). 8.75/1.48 tff(f122,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : (((sorted1(X0) & ! [X2 : $int,X3 : $int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) | ~sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1))))) & (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | (~sorted1(X0) | ? [X2 : $int,X3 : $int] : ($less(X3,X2) & mem(int,t2tb1(X3),t2tb(X1)) & mem(int,t2tb1(X2),t2tb(X0))) | ~sorted1(X1))))), 8.75/1.48 inference(nnf_transformation,[],[f95])). 8.75/1.48 tff(f95,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : ((sorted1(X0) & ! [X2 : $int,X3 : $int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) <=> sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))))), 8.75/1.48 inference(flattening,[],[f94])). 8.75/1.48 tff(f94,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : ((sorted1(X0) & ! [X2 : $int,X3 : $int] : ((~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1))) | ~mem(int,t2tb1(X2),t2tb(X0))) & sorted1(X1)) <=> sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))))), 8.75/1.48 inference(ennf_transformation,[],[f71])). 8.75/1.48 tff(f71,plain,( 8.75/1.48 ! [X0 : list_int,X1 : list_int] : ((sorted1(X0) & ! [X2 : $int,X3 : $int] : (mem(int,t2tb1(X2),t2tb(X0)) => (mem(int,t2tb1(X3),t2tb(X1)) => ~$less(X3,X2))) & sorted1(X1)) <=> sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))))), 8.75/1.48 inference(rectify,[],[f48])). 8.75/1.48 tff(f48,plain,( 8.75/1.48 ! [X7 : list_int,X8 : list_int] : ((sorted1(X7) & ! [X0 : $int,X1 : $int] : (mem(int,t2tb1(X0),t2tb(X7)) => (mem(int,t2tb1(X1),t2tb(X8)) => ~$less(X1,X0))) & sorted1(X8)) <=> sorted1(tb2t(infix_plpl(int,t2tb(X7),t2tb(X8)))))), 8.75/1.48 inference(theory_normalization,[],[f34])). 8.75/1.48 tff(f34,axiom,( 8.75/1.48 ! [X7 : list_int,X8 : list_int] : ((sorted1(X7) & ! [X0 : $int,X1 : $int] : (mem(int,t2tb1(X0),t2tb(X7)) => (mem(int,t2tb1(X1),t2tb(X8)) => $lesseq(X0,X1))) & sorted1(X8)) <=> sorted1(tb2t(infix_plpl(int,t2tb(X7),t2tb(X8)))))), 8.75/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_append)). 8.75/1.48 tff(f2399,plain,( 8.75/1.48 ~spl16_11 | spl16_175 | ~spl16_177 | ~spl16_11 | ~spl16_27 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2378,f2324,f581,f433,f2397,f2390,f433])). 8.75/1.48 tff(f2390,plain,( 8.75/1.48 spl16_175 <=> sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK1))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_175])])). 8.75/1.48 tff(f2397,plain,( 8.75/1.48 spl16_177 <=> $less(sK12(sK1,sK1),sK0)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_177])])). 8.75/1.48 tff(f2378,plain,( 8.75/1.48 ~$less(sK12(sK1,sK1),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK1)))) | ~sorted1(sK1) | (~spl16_11 | ~spl16_27 | ~spl16_170)), 8.75/1.48 inference(resolution,[],[f2327,f444])). 8.75/1.48 tff(f444,plain,( 8.75/1.48 ( ! [X2:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X2)))) | mem(int,t2tb1(sK12(sK1,X2)),t2tb(X2)) | ~sorted1(X2)) ) | ~spl16_11), 8.75/1.48 inference(resolution,[],[f434,f247])). 8.75/1.48 tff(f434,plain,( 8.75/1.48 sorted1(sK1) | ~spl16_11), 8.75/1.48 inference(avatar_component_clause,[],[f433])). 8.75/1.48 tff(f2395,plain,( 8.75/1.48 ~spl16_11 | spl16_175 | ~spl16_176 | ~spl16_11 | ~spl16_27 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2377,f2324,f581,f433,f2393,f2390,f433])). 8.75/1.48 tff(f2393,plain,( 8.75/1.48 spl16_176 <=> $less(sK11(sK1,sK1),sK0)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_176])])). 8.75/1.48 tff(f2377,plain,( 8.75/1.48 ~$less(sK11(sK1,sK1),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK1)))) | ~sorted1(sK1) | (~spl16_11 | ~spl16_27 | ~spl16_170)), 8.75/1.48 inference(resolution,[],[f2327,f443])). 8.75/1.48 tff(f443,plain,( 8.75/1.48 ( ! [X1:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK1)))) | mem(int,t2tb1(sK11(X1,sK1)),t2tb(X1)) | ~sorted1(X1)) ) | ~spl16_11), 8.75/1.48 inference(resolution,[],[f434,f246])). 8.75/1.48 tff(f246,plain,( 8.75/1.48 ( ! [X0:list_int,X1:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | mem(int,t2tb1(sK11(X0,X1)),t2tb(X0)) | ~sorted1(X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f126])). 8.75/1.48 tff(f2388,plain,( 8.75/1.48 ~spl16_11 | spl16_174 | ~spl16_27 | ~spl16_170), 8.75/1.48 inference(avatar_split_clause,[],[f2376,f2324,f581,f2386,f433])). 8.75/1.48 tff(f2386,plain,( 8.75/1.48 spl16_174 <=> ! [X0 : list_int] : (~$less(sK11(sK1,X0),sK0) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X0)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_174])])). 8.75/1.48 tff(f2376,plain,( 8.75/1.48 ( ! [X0:list_int] : (~$less(sK11(sK1,X0),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X0)))) | ~sorted1(sK1) | ~sorted1(X0)) ) | (~spl16_27 | ~spl16_170)), 8.75/1.48 inference(resolution,[],[f2327,f246])). 8.75/1.48 tff(f2349,plain,( 8.75/1.48 ~spl16_4 | spl16_173 | ~spl16_28), 8.75/1.48 inference(avatar_split_clause,[],[f2333,f586,f2347,f347])). 8.75/1.48 tff(f2347,plain,( 8.75/1.48 spl16_173 <=> ! [X2 : $int] : (~$less(sK13(X2,sK3),sK0) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_173])])). 8.75/1.48 tff(f586,plain,( 8.75/1.48 spl16_28 <=> ! [X2 : $int] : (~$less(X2,sK0) | ~mem(int,t2tb1(X2),t2tb(sK3)))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_28])])). 8.75/1.48 tff(f2333,plain,( 8.75/1.48 ( ! [X2:$int] : (~$less(sK13(X2,sK3),sK0) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))) | ~sorted1(sK3)) ) | ~spl16_28), 8.75/1.48 inference(resolution,[],[f587,f252])). 8.75/1.48 tff(f587,plain,( 8.75/1.48 ( ! [X2:$int] : (~mem(int,t2tb1(X2),t2tb(sK3)) | ~$less(X2,sK0)) ) | ~spl16_28), 8.75/1.48 inference(avatar_component_clause,[],[f586])). 8.75/1.48 tff(f2345,plain,( 8.75/1.48 ~spl16_4 | spl16_172 | ~spl16_28), 8.75/1.48 inference(avatar_split_clause,[],[f2332,f586,f2343,f347])). 8.75/1.48 tff(f2343,plain,( 8.75/1.48 spl16_172 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK3),sK0) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_172])])). 8.75/1.48 tff(f2332,plain,( 8.75/1.48 ( ! [X1:list_int] : (~$less(sK12(X1,sK3),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))) | ~sorted1(X1) | ~sorted1(sK3)) ) | ~spl16_28), 8.75/1.48 inference(resolution,[],[f587,f247])). 8.75/1.48 tff(f2341,plain,( 8.75/1.48 ~spl16_4 | spl16_171 | ~spl16_28), 8.75/1.48 inference(avatar_split_clause,[],[f2329,f586,f2339,f347])). 8.75/1.48 tff(f2339,plain,( 8.75/1.48 spl16_171 <=> ! [X0 : list_int] : (~$less(sK11(sK3,X0),sK0) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_171])])). 8.75/1.48 tff(f2329,plain,( 8.75/1.48 ( ! [X0:list_int] : (~$less(sK11(sK3,X0),sK0) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))) | ~sorted1(sK3) | ~sorted1(X0)) ) | ~spl16_28), 8.75/1.48 inference(resolution,[],[f587,f246])). 8.75/1.48 tff(f2326,plain,( 8.75/1.48 spl16_170 | ~spl16_25), 8.75/1.48 inference(avatar_split_clause,[],[f2319,f568,f2324])). 8.75/1.48 tff(f2319,plain,( 8.75/1.48 t2tb(sK1) = cons(int,t2tb1(sK0),t2tb(sK3)) | ~spl16_25), 8.75/1.48 inference(superposition,[],[f222,f569])). 8.75/1.48 tff(f2322,plain,( 8.75/1.48 spl16_28 | ~spl16_11 | ~spl16_25), 8.75/1.48 inference(avatar_split_clause,[],[f2317,f568,f433,f586])). 8.75/1.48 tff(f2317,plain,( 8.75/1.48 ( ! [X2:$int] : (~sorted1(sK1) | ~$less(X2,sK0) | ~mem(int,t2tb1(X2),t2tb(sK3))) ) | ~spl16_25), 8.75/1.48 inference(superposition,[],[f254,f569])). 8.75/1.48 tff(f2321,plain,( 8.75/1.48 spl16_27 | ~spl16_11 | ~spl16_25), 8.75/1.48 inference(avatar_split_clause,[],[f2314,f568,f433,f581])). 8.75/1.48 tff(f2314,plain,( 8.75/1.48 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK0),t2tb(sK3))) | ~$less(X1,sK0)) ) | ~spl16_25), 8.75/1.48 inference(superposition,[],[f261,f569])). 8.75/1.48 tff(f2320,plain,( 8.75/1.48 spl16_26 | ~spl16_11 | ~spl16_25), 8.75/1.48 inference(avatar_split_clause,[],[f2313,f568,f433,f575])). 8.75/1.48 tff(f575,plain,( 8.75/1.48 spl16_26 <=> ! [X0 : $int] : ($less(sK0,X0) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK0),t2tb(sK3))))))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_26])])). 8.75/1.48 tff(f2313,plain,( 8.75/1.48 ( ! [X0:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK0),t2tb(sK3))))) | $less(sK0,X0)) ) | ~spl16_25), 8.75/1.48 inference(superposition,[],[f263,f569])). 8.75/1.48 tff(f2269,plain,( 8.75/1.48 ~spl16_11 | spl16_169 | ~spl16_6), 8.75/1.48 inference(avatar_split_clause,[],[f1492,f353,f2267,f433])). 8.75/1.48 tff(f2267,plain,( 8.75/1.48 spl16_169 <=> ! [X7 : list_int,X6 : $int] : (~mem(int,t2tb1(X6),t2tb(X7)) | $less(sK12(X7,sK1),sK11(X7,sK1)) | ~sorted1(X7) | ~$less(sK0,X6))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_169])])). 8.75/1.48 tff(f1492,plain,( 8.75/1.48 ( ! [X6:$int,X7:list_int] : (~mem(int,t2tb1(X6),t2tb(X7)) | ~$less(sK0,X6) | ~sorted1(X7) | $less(sK12(X7,sK1),sK11(X7,sK1)) | ~sorted1(sK1)) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f501,f248])). 8.75/1.48 tff(f248,plain,( 8.75/1.48 ( ! [X0:list_int,X1:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1)))) | ~sorted1(X0) | $less(sK12(X0,X1),sK11(X0,X1)) | ~sorted1(X1)) )), 8.75/1.48 inference(cnf_transformation,[],[f126])). 8.75/1.48 tff(f501,plain,( 8.75/1.48 ( ! [X4:list_int,X3:$int] : (~sorted1(tb2t(infix_plpl(int,t2tb(X4),t2tb(sK1)))) | ~mem(int,t2tb1(X3),t2tb(X4)) | ~$less(sK0,X3)) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f368,f250])). 8.75/1.48 tff(f250,plain,( 8.75/1.48 ( ! [X2:$int,X0:list_int,X3:$int,X1:list_int] : (~$less(X3,X2) | ~mem(int,t2tb1(X3),t2tb(X1)) | ~mem(int,t2tb1(X2),t2tb(X0)) | ~sorted1(tb2t(infix_plpl(int,t2tb(X0),t2tb(X1))))) )), 8.75/1.48 inference(cnf_transformation,[],[f126])). 8.75/1.48 tff(f2262,plain,( 8.75/1.48 ~spl16_11 | spl16_168 | ~spl16_6), 8.75/1.48 inference(avatar_split_clause,[],[f1471,f353,f2260,f433])). 8.75/1.48 tff(f2260,plain,( 8.75/1.48 spl16_168 <=> ! [X7 : list_int,X6 : $int] : (~mem(int,t2tb1(X6),t2tb(X7)) | ~sorted1(X7) | $less(sK12(sK1,X7),sK11(sK1,X7)) | ~$less(X6,sK0))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_168])])). 8.75/1.48 tff(f1471,plain,( 8.75/1.48 ( ! [X6:$int,X7:list_int] : (~mem(int,t2tb1(X6),t2tb(X7)) | ~$less(X6,sK0) | ~sorted1(sK1) | $less(sK12(sK1,X7),sK11(sK1,X7)) | ~sorted1(X7)) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f500,f248])). 8.75/1.48 tff(f500,plain,( 8.75/1.48 ( ! [X2:list_int,X1:$int] : (~sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X2)))) | ~mem(int,t2tb1(X1),t2tb(X2)) | ~$less(X1,sK0)) ) | ~spl16_6), 8.75/1.48 inference(resolution,[],[f368,f250])). 8.75/1.48 tff(f2258,plain,( 8.75/1.48 ~spl16_23 | spl16_6 | spl16_167 | ~spl16_42), 8.75/1.48 inference(avatar_split_clause,[],[f2229,f668,f2255,f353,f546])). 8.75/1.48 tff(f2255,plain,( 8.75/1.48 spl16_167 <=> ! [X1 : uni] : (~sort1(int,X1) | t2tb1(sK0) = X1)), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_167])])). 8.75/1.48 tff(f668,plain,( 8.75/1.48 spl16_42 <=> ! [X7 : uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK1))) | ~sort1(int,X7))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_42])])). 8.75/1.48 tff(f2229,plain,( 8.75/1.48 ( ! [X1:uni] : (~sort1(int,X1) | t2tb1(sK0) = X1 | mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_42), 8.75/1.48 inference(duplicate_literal_removal,[],[f1165])). 8.75/1.48 tff(f1165,plain,( 8.75/1.48 ( ! [X1:uni] : (~sort1(int,X1) | t2tb1(sK0) = X1 | mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,X1) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_42), 8.75/1.48 inference(resolution,[],[f669,f240])). 8.75/1.48 tff(f669,plain,( 8.75/1.48 ( ! [X7:uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK1))) | ~sort1(int,X7)) ) | ~spl16_42), 8.75/1.48 inference(avatar_component_clause,[],[f668])). 8.75/1.48 tff(f2257,plain,( 8.75/1.48 ~spl16_23 | spl16_6 | spl16_167 | ~spl16_42), 8.75/1.48 inference(avatar_split_clause,[],[f1172,f668,f2255,f353,f546])). 8.75/1.48 tff(f1172,plain,( 8.75/1.48 ( ! [X1:uni] : (~sort1(int,X1) | t2tb1(sK0) = X1 | mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_42), 8.75/1.48 inference(duplicate_literal_removal,[],[f1165])). 8.75/1.48 tff(f2251,plain,( 8.75/1.48 spl16_144 | ~spl16_11 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f1910,f1891,f433,f1867])). 8.75/1.48 tff(f1867,plain,( 8.75/1.48 spl16_144 <=> ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK3)) | ~$less(X0,sK5))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_144])])). 8.75/1.48 tff(f1910,plain,( 8.75/1.48 ( ! [X2:$int] : (~sorted1(sK1) | ~$less(X2,sK5) | ~mem(int,t2tb1(X2),t2tb(sK3))) ) | ~spl16_146), 8.75/1.48 inference(superposition,[],[f254,f1892])). 8.75/1.48 tff(f2250,plain,( 8.75/1.48 spl16_144 | ~spl16_11 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2249,f1872,f433,f1867])). 8.75/1.48 tff(f2249,plain,( 8.75/1.48 ( ! [X0:$int] : (~sorted1(sK1) | ~$less(X0,sK5) | ~mem(int,t2tb1(X0),t2tb(sK3))) ) | ~spl16_145), 8.75/1.48 inference(forward_demodulation,[],[f1925,f221])). 8.75/1.48 tff(f1925,plain,( 8.75/1.48 ( ! [X0:$int] : (~sorted1(tb2t(t2tb(sK1))) | ~$less(X0,sK5) | ~mem(int,t2tb1(X0),t2tb(sK3))) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f254,f1873])). 8.75/1.48 tff(f2248,plain,( 8.75/1.48 ~spl16_11 | spl16_143 | ~spl16_145 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f2247,f1891,f1872,f1859,f433])). 8.75/1.48 tff(f1859,plain,( 8.75/1.48 spl16_143 <=> ! [X2 : $int] : (~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK5))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_143])])). 8.75/1.48 tff(f2247,plain,( 8.75/1.48 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~sorted1(sK1) | ~$less(X1,sK5)) ) | (~spl16_145 | ~spl16_146)), 8.75/1.48 inference(forward_demodulation,[],[f1907,f1873])). 8.75/1.48 tff(f2246,plain,( 8.75/1.48 spl16_143 | ~spl16_11 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2245,f1872,f433,f1859])). 8.75/1.48 tff(f2245,plain,( 8.75/1.48 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK5)) ) | ~spl16_145), 8.75/1.48 inference(forward_demodulation,[],[f1927,f221])). 8.75/1.48 tff(f1927,plain,( 8.75/1.48 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~sorted1(tb2t(t2tb(sK1))) | ~$less(X1,sK5)) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f261,f1873])). 8.75/1.48 tff(f2244,plain,( 8.75/1.48 spl16_143 | ~spl16_11 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2243,f1872,f433,f1859])). 8.75/1.48 tff(f2243,plain,( 8.75/1.48 ( ! [X2:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK5)) ) | ~spl16_145), 8.75/1.48 inference(forward_demodulation,[],[f1928,f221])). 8.75/1.48 tff(f1928,plain,( 8.75/1.48 ( ! [X2:$int] : (~sorted1(tb2t(t2tb(sK1))) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK5)) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f261,f1873])). 8.75/1.48 tff(f2242,plain,( 8.75/1.48 ~spl16_11 | spl16_142 | ~spl16_145 | ~spl16_146), 8.75/1.48 inference(avatar_split_clause,[],[f2241,f1891,f1872,f1852,f433])). 8.75/1.48 tff(f1852,plain,( 8.75/1.48 spl16_142 <=> ! [X4 : $int] : (sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK5,X4))), 8.75/1.48 introduced(avatar_definition,[new_symbols(naming,[spl16_142])])). 8.75/1.48 tff(f2241,plain,( 8.75/1.48 ( ! [X0:$int] : (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(sK1)))) | ~sorted1(sK1) | $less(sK5,X0)) ) | (~spl16_145 | ~spl16_146)), 8.75/1.48 inference(forward_demodulation,[],[f1906,f1873])). 8.75/1.48 tff(f2240,plain,( 8.75/1.48 spl16_142 | ~spl16_11 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2239,f1872,f433,f1852])). 8.75/1.48 tff(f2239,plain,( 8.75/1.48 ( ! [X3:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | $less(sK5,X3)) ) | ~spl16_145), 8.75/1.48 inference(forward_demodulation,[],[f1929,f221])). 8.75/1.48 tff(f1929,plain,( 8.75/1.48 ( ! [X3:$int] : (sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | ~sorted1(tb2t(t2tb(sK1))) | $less(sK5,X3)) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f263,f1873])). 8.75/1.48 tff(f2238,plain,( 8.75/1.48 spl16_142 | ~spl16_11 | ~spl16_145), 8.75/1.48 inference(avatar_split_clause,[],[f2237,f1872,f433,f1852])). 8.75/1.48 tff(f2237,plain,( 8.75/1.48 ( ! [X4:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK5,X4)) ) | ~spl16_145), 8.75/1.48 inference(forward_demodulation,[],[f1930,f221])). 8.75/1.48 tff(f1930,plain,( 8.75/1.48 ( ! [X4:$int] : (~sorted1(tb2t(t2tb(sK1))) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK5,X4)) ) | ~spl16_145), 8.75/1.48 inference(superposition,[],[f263,f1873])). 8.75/1.49 tff(f2236,plain,( 8.75/1.49 spl16_166 | ~spl16_54 | ~spl16_6 | ~spl16_24 | ~spl16_30), 8.75/1.49 inference(avatar_split_clause,[],[f2126,f598,f549,f353,f785,f2233])). 8.75/1.49 tff(f785,plain,( 8.75/1.49 spl16_54 <=> sort1(int,t2tb1(sK2))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_54])])). 8.75/1.49 tff(f2126,plain,( 8.75/1.49 ~mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,t2tb1(sK2)) | t2tb1(sK0) = t2tb1(sK2) | (~spl16_24 | ~spl16_30)), 8.75/1.49 inference(superposition,[],[f550,f599])). 8.75/1.49 tff(f2235,plain,( 8.75/1.49 ~spl16_6 | ~spl16_54 | spl16_166 | ~spl16_24 | ~spl16_141 | ~spl16_145), 8.75/1.49 inference(avatar_split_clause,[],[f2231,f1872,f1838,f549,f2233,f785,f353])). 8.75/1.49 tff(f2231,plain,( 8.75/1.49 t2tb1(sK0) = t2tb1(sK2) | ~sort1(int,t2tb1(sK2)) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | (~spl16_24 | ~spl16_141 | ~spl16_145)), 8.75/1.49 inference(forward_demodulation,[],[f2230,f1839])). 8.75/1.49 tff(f2230,plain,( 8.75/1.49 ~sort1(int,t2tb1(sK2)) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | t2tb1(sK0) = t2tb1(sK5) | (~spl16_24 | ~spl16_141 | ~spl16_145)), 8.75/1.49 inference(forward_demodulation,[],[f2127,f1839])). 8.75/1.49 tff(f2226,plain,( 8.75/1.49 ~spl16_67 | spl16_165 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2169,f1044,f2224,f856])). 8.75/1.49 tff(f856,plain,( 8.75/1.49 spl16_67 <=> sorted1(sK6)), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_67])])). 8.75/1.49 tff(f2224,plain,( 8.75/1.49 spl16_165 <=> ! [X26 : $int] : (sorted1(tb2t(cons(int,t2tb1(X26),t2tb(sK3)))) | $less(sK13(X26,sK6),X26))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_165])])). 8.75/1.49 tff(f1044,plain,( 8.75/1.49 spl16_87 <=> t2tb(sK3) = t2tb(sK6)), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_87])])). 8.75/1.49 tff(f2169,plain,( 8.75/1.49 ( ! [X26:$int] : (sorted1(tb2t(cons(int,t2tb1(X26),t2tb(sK3)))) | ~sorted1(sK6) | $less(sK13(X26,sK6),X26)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f253,f1045])). 8.75/1.49 tff(f1045,plain,( 8.75/1.49 t2tb(sK3) = t2tb(sK6) | ~spl16_87), 8.75/1.49 inference(avatar_component_clause,[],[f1044])). 8.75/1.49 tff(f253,plain,( 8.75/1.49 ( ! [X0:$int,X1:list_int] : (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(X1)))) | ~sorted1(X1) | $less(sK13(X0,X1),X0)) )), 8.75/1.49 inference(cnf_transformation,[],[f131])). 8.75/1.49 tff(f2222,plain,( 8.75/1.49 ~spl16_67 | spl16_164 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2168,f1044,f2219,f856])). 8.75/1.49 tff(f2219,plain,( 8.75/1.49 spl16_164 <=> ! [X24 : $int] : (sorted1(tb2t(cons(int,t2tb1(X24),t2tb(sK3)))) | mem(int,t2tb1(sK13(X24,sK6)),t2tb(sK3)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_164])])). 8.75/1.49 tff(f2168,plain,( 8.75/1.49 ( ! [X25:$int] : (mem(int,t2tb1(sK13(X25,sK6)),t2tb(sK3)) | sorted1(tb2t(cons(int,t2tb1(X25),t2tb(sK3)))) | ~sorted1(sK6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f252,f1045])). 8.75/1.49 tff(f2221,plain,( 8.75/1.49 ~spl16_67 | spl16_164 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2167,f1044,f2219,f856])). 8.75/1.49 tff(f2167,plain,( 8.75/1.49 ( ! [X24:$int] : (sorted1(tb2t(cons(int,t2tb1(X24),t2tb(sK3)))) | ~sorted1(sK6) | mem(int,t2tb1(sK13(X24,sK6)),t2tb(sK3))) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f252,f1045])). 8.75/1.49 tff(f2217,plain,( 8.75/1.49 ~spl16_67 | spl16_163 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2158,f1044,f2215,f856])). 8.75/1.49 tff(f2215,plain,( 8.75/1.49 spl16_163 <=> ! [X7 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X7),t2tb(sK3)))) | $less(sK12(X7,sK6),sK11(X7,sK6)) | ~sorted1(X7))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_163])])). 8.75/1.49 tff(f2158,plain,( 8.75/1.49 ( ! [X7:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X7),t2tb(sK3)))) | ~sorted1(X7) | $less(sK12(X7,sK6),sK11(X7,sK6)) | ~sorted1(sK6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f248,f1045])). 8.75/1.49 tff(f2213,plain,( 8.75/1.49 ~spl16_67 | spl16_162 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2157,f1044,f2211,f856])). 8.75/1.49 tff(f2211,plain,( 8.75/1.49 spl16_162 <=> ! [X6 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X6)))) | ~sorted1(X6) | $less(sK12(sK6,X6),sK11(sK6,X6)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_162])])). 8.75/1.49 tff(f2157,plain,( 8.75/1.49 ( ! [X6:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X6)))) | ~sorted1(sK6) | $less(sK12(sK6,X6),sK11(sK6,X6)) | ~sorted1(X6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f248,f1045])). 8.75/1.49 tff(f2209,plain,( 8.75/1.49 ~spl16_67 | spl16_161 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2156,f1044,f2206,f856])). 8.75/1.49 tff(f2206,plain,( 8.75/1.49 spl16_161 <=> ! [X4 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X4),t2tb(sK3)))) | mem(int,t2tb1(sK12(X4,sK6)),t2tb(sK3)) | ~sorted1(X4))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_161])])). 8.75/1.49 tff(f2156,plain,( 8.75/1.49 ( ! [X5:list_int] : (mem(int,t2tb1(sK12(X5,sK6)),t2tb(sK3)) | sorted1(tb2t(infix_plpl(int,t2tb(X5),t2tb(sK3)))) | ~sorted1(X5) | ~sorted1(sK6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f247,f1045])). 8.75/1.49 tff(f2208,plain,( 8.75/1.49 ~spl16_67 | spl16_161 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2155,f1044,f2206,f856])). 8.75/1.49 tff(f2155,plain,( 8.75/1.49 ( ! [X4:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X4),t2tb(sK3)))) | ~sorted1(X4) | mem(int,t2tb1(sK12(X4,sK6)),t2tb(sK3)) | ~sorted1(sK6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f247,f1045])). 8.75/1.49 tff(f2204,plain,( 8.75/1.49 ~spl16_67 | spl16_160 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2154,f1044,f2202,f856])). 8.75/1.49 tff(f2202,plain,( 8.75/1.49 spl16_160 <=> ! [X3 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X3)))) | ~sorted1(X3) | mem(int,t2tb1(sK12(sK6,X3)),t2tb(X3)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_160])])). 8.75/1.49 tff(f2154,plain,( 8.75/1.49 ( ! [X3:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X3)))) | ~sorted1(sK6) | mem(int,t2tb1(sK12(sK6,X3)),t2tb(X3)) | ~sorted1(X3)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f247,f1045])). 8.75/1.49 tff(f2200,plain,( 8.75/1.49 ~spl16_67 | spl16_158 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2153,f1044,f2193,f856])). 8.75/1.49 tff(f2193,plain,( 8.75/1.49 spl16_158 <=> ! [X0 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))) | ~sorted1(X0) | mem(int,t2tb1(sK11(sK6,X0)),t2tb(sK3)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_158])])). 8.75/1.49 tff(f2153,plain,( 8.75/1.49 ( ! [X2:list_int] : (mem(int,t2tb1(sK11(sK6,X2)),t2tb(sK3)) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X2)))) | ~sorted1(sK6) | ~sorted1(X2)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f246,f1045])). 8.75/1.49 tff(f2199,plain,( 8.75/1.49 ~spl16_67 | spl16_159 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2152,f1044,f2197,f856])). 8.75/1.49 tff(f2197,plain,( 8.75/1.49 spl16_159 <=> ! [X1 : list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))) | mem(int,t2tb1(sK11(X1,sK6)),t2tb(X1)) | ~sorted1(X1))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_159])])). 8.75/1.49 tff(f2152,plain,( 8.75/1.49 ( ! [X1:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))) | ~sorted1(X1) | mem(int,t2tb1(sK11(X1,sK6)),t2tb(X1)) | ~sorted1(sK6)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f246,f1045])). 8.75/1.49 tff(f2195,plain,( 8.75/1.49 ~spl16_67 | spl16_158 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2151,f1044,f2193,f856])). 8.75/1.49 tff(f2151,plain,( 8.75/1.49 ( ! [X0:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))) | ~sorted1(sK6) | mem(int,t2tb1(sK11(sK6,X0)),t2tb(sK3)) | ~sorted1(X0)) ) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f246,f1045])). 8.75/1.49 tff(f2191,plain,( 8.75/1.49 spl16_3 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f2189,f1044,f344])). 8.75/1.49 tff(f344,plain,( 8.75/1.49 spl16_3 <=> sK3 = sK6), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_3])])). 8.75/1.49 tff(f2189,plain,( 8.75/1.49 sK3 = sK6 | ~spl16_87), 8.75/1.49 inference(forward_demodulation,[],[f2149,f221])). 8.75/1.49 tff(f2149,plain,( 8.75/1.49 sK6 = tb2t(t2tb(sK3)) | ~spl16_87), 8.75/1.49 inference(superposition,[],[f221,f1045])). 8.75/1.49 tff(f2146,plain,( 8.75/1.49 ~spl16_23 | spl16_157 | ~spl16_147), 8.75/1.49 inference(avatar_split_clause,[],[f2139,f1898,f2144,f546])). 8.75/1.49 tff(f2144,plain,( 8.75/1.49 spl16_157 <=> ! [X5 : uni,X6 : uni] : (~sort1(int,X5) | ~sort1(int,X6) | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,t2tb(sK1)))) | t2tb1(sK0) = X5)), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_157])])). 8.75/1.49 tff(f1898,plain,( 8.75/1.49 spl16_147 <=> ! [X2 : uni] : (t2tb1(sK0) = X2 | ~sort1(int,X2) | ~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK1))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_147])])). 8.75/1.49 tff(f2139,plain,( 8.75/1.49 ( ! [X6:uni,X5:uni] : (~sort1(int,X5) | t2tb1(sK0) = X5 | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,t2tb(sK1)))) | ~sort1(int,X6) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_147), 8.75/1.49 inference(resolution,[],[f1899,f240])). 8.75/1.49 tff(f1899,plain,( 8.75/1.49 ( ! [X2:uni] : (~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK1))) | ~sort1(int,X2) | t2tb1(sK0) = X2) ) | ~spl16_147), 8.75/1.49 inference(avatar_component_clause,[],[f1898])). 8.75/1.49 tff(f2134,plain,( 8.75/1.49 ~spl16_23 | spl16_156 | ~spl16_24), 8.75/1.49 inference(avatar_split_clause,[],[f2125,f549,f2132,f546])). 8.75/1.49 tff(f2132,plain,( 8.75/1.49 spl16_156 <=> ! [X5 : uni,X6 : uni] : (~sort1(int,X5) | ~sort1(int,X6) | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,t2tb(sK3)))) | t2tb1(sK0) = X5)), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_156])])). 8.75/1.49 tff(f2125,plain,( 8.75/1.49 ( ! [X6:uni,X5:uni] : (~sort1(int,X5) | t2tb1(sK0) = X5 | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,t2tb(sK3)))) | ~sort1(int,X6) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_24), 8.75/1.49 inference(resolution,[],[f550,f240])). 8.75/1.49 tff(f2064,plain,( 8.75/1.49 ~spl16_23 | spl16_155 | spl16_6), 8.75/1.49 inference(avatar_split_clause,[],[f2056,f353,f2062,f546])). 8.75/1.49 tff(f2062,plain,( 8.75/1.49 spl16_155 <=> ! [X7 : uni,X6 : uni] : (mem(int,t2tb1(sK0),X6) | ~sort1(int,X7) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,X6,t2tb(sK1)))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_155])])). 8.75/1.49 tff(f2056,plain,( 8.75/1.49 ( ! [X6:uni,X7:uni] : (mem(int,t2tb1(sK0),X6) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,X6,t2tb(sK1)))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_6), 8.75/1.49 inference(resolution,[],[f1895,f240])). 8.75/1.49 tff(f1895,plain,( 8.75/1.49 ( ! [X1:uni] : (~mem(int,t2tb1(sK0),infix_plpl(int,X1,t2tb(sK1))) | mem(int,t2tb1(sK0),X1)) ) | spl16_6), 8.75/1.49 inference(resolution,[],[f354,f275])). 8.75/1.49 tff(f275,plain,( 8.75/1.49 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) )), 8.75/1.49 inference(cnf_transformation,[],[f135])). 8.75/1.49 tff(f354,plain,( 8.75/1.49 ~mem(int,t2tb1(sK0),t2tb(sK1)) | spl16_6), 8.75/1.49 inference(avatar_component_clause,[],[f353])). 8.75/1.49 tff(f2051,plain,( 8.75/1.49 ~spl16_23 | spl16_154 | spl16_6), 8.75/1.49 inference(avatar_split_clause,[],[f2045,f353,f2049,f546])). 8.75/1.49 tff(f2049,plain,( 8.75/1.49 spl16_154 <=> ! [X7 : uni,X6 : uni] : (mem(int,t2tb1(sK0),X6) | ~sort1(int,X7) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,t2tb(sK1),X6))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_154])])). 8.75/1.49 tff(f2045,plain,( 8.75/1.49 ( ! [X6:uni,X7:uni] : (mem(int,t2tb1(sK0),X6) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,t2tb(sK1),X6))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_6), 8.75/1.49 inference(resolution,[],[f1894,f240])). 8.75/1.49 tff(f1894,plain,( 8.75/1.49 ( ! [X0:uni] : (~mem(int,t2tb1(sK0),infix_plpl(int,t2tb(sK1),X0)) | mem(int,t2tb1(sK0),X0)) ) | spl16_6), 8.75/1.49 inference(resolution,[],[f354,f275])). 8.75/1.49 tff(f2036,plain,( 8.75/1.49 ~spl16_23 | spl16_153 | spl16_9), 8.75/1.49 inference(avatar_split_clause,[],[f2028,f387,f2034,f546])). 8.75/1.49 tff(f2034,plain,( 8.75/1.49 spl16_153 <=> ! [X7 : uni,X6 : uni] : (mem(int,t2tb1(sK0),X6) | ~sort1(int,X7) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,X6,t2tb(sK3)))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_153])])). 8.75/1.49 tff(f2028,plain,( 8.75/1.49 ( ! [X6:uni,X7:uni] : (mem(int,t2tb1(sK0),X6) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,X6,t2tb(sK3)))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_9), 8.75/1.49 inference(resolution,[],[f543,f240])). 8.75/1.49 tff(f543,plain,( 8.75/1.49 ( ! [X1:uni] : (~mem(int,t2tb1(sK0),infix_plpl(int,X1,t2tb(sK3))) | mem(int,t2tb1(sK0),X1)) ) | spl16_9), 8.75/1.49 inference(resolution,[],[f388,f275])). 8.75/1.49 tff(f2023,plain,( 8.75/1.49 ~spl16_23 | spl16_152 | spl16_9), 8.75/1.49 inference(avatar_split_clause,[],[f2017,f387,f2021,f546])). 8.75/1.49 tff(f2021,plain,( 8.75/1.49 spl16_152 <=> ! [X7 : uni,X6 : uni] : (mem(int,t2tb1(sK0),X6) | ~sort1(int,X7) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,t2tb(sK3),X6))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_152])])). 8.75/1.49 tff(f2017,plain,( 8.75/1.49 ( ! [X6:uni,X7:uni] : (mem(int,t2tb1(sK0),X6) | t2tb1(sK0) = X7 | ~mem(int,t2tb1(sK0),cons(int,X7,infix_plpl(int,t2tb(sK3),X6))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_9), 8.75/1.49 inference(resolution,[],[f542,f240])). 8.75/1.49 tff(f542,plain,( 8.75/1.49 ( ! [X0:uni] : (~mem(int,t2tb1(sK0),infix_plpl(int,t2tb(sK3),X0)) | mem(int,t2tb1(sK0),X0)) ) | spl16_9), 8.75/1.49 inference(resolution,[],[f388,f275])). 8.75/1.49 tff(f2007,plain,( 8.75/1.49 ~spl16_151 | ~spl16_54 | ~spl16_65 | ~spl16_87 | ~spl16_141), 8.75/1.49 inference(avatar_split_clause,[],[f2003,f1838,f1044,f848,f785,f2005])). 8.75/1.49 tff(f2005,plain,( 8.75/1.49 spl16_151 <=> $less(sK5,sK5)), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_151])])). 8.75/1.49 tff(f848,plain,( 8.75/1.49 spl16_65 <=> ! [X1 : $int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK6))) | ~$less(X1,sK5))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_65])])). 8.75/1.49 tff(f2003,plain,( 8.75/1.49 ~sort1(int,t2tb1(sK2)) | ~$less(sK5,sK5) | (~spl16_65 | ~spl16_87 | ~spl16_141)), 8.75/1.49 inference(forward_demodulation,[],[f1996,f1839])). 8.75/1.49 tff(f1996,plain,( 8.75/1.49 ~$less(sK5,sK5) | ~sort1(int,t2tb1(sK5)) | (~spl16_65 | ~spl16_87)), 8.75/1.49 inference(resolution,[],[f1882,f280])). 8.75/1.49 tff(f280,plain,( 8.75/1.49 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort1(X0,X2)) )), 8.75/1.49 inference(duplicate_literal_removal,[],[f278])). 8.75/1.49 tff(f278,plain,( 8.75/1.49 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 8.75/1.49 inference(equality_resolution,[],[f242])). 8.75/1.49 tff(f242,plain,( 8.75/1.49 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 8.75/1.49 inference(cnf_transformation,[],[f120])). 8.75/1.49 tff(f1882,plain,( 8.75/1.49 ( ! [X1:$int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK3))) | ~$less(X1,sK5)) ) | (~spl16_65 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f849,f1045])). 8.75/1.49 tff(f849,plain,( 8.75/1.49 ( ! [X1:$int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK6))) | ~$less(X1,sK5)) ) | ~spl16_65), 8.75/1.49 inference(avatar_component_clause,[],[f848])). 8.75/1.49 tff(f1964,plain,( 8.75/1.49 ~spl16_4 | spl16_150 | ~spl16_66 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1948,f1044,f852,f1962,f347])). 8.75/1.49 tff(f1962,plain,( 8.75/1.49 spl16_150 <=> ! [X2 : $int] : (~$less(sK13(X2,sK3),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_150])])). 8.75/1.49 tff(f852,plain,( 8.75/1.49 spl16_66 <=> ! [X2 : $int] : (~$less(X2,sK5) | ~mem(int,t2tb1(X2),t2tb(sK6)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_66])])). 8.75/1.49 tff(f1948,plain,( 8.75/1.49 ( ! [X2:$int] : (~$less(sK13(X2,sK3),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))) | ~sorted1(sK3)) ) | (~spl16_66 | ~spl16_87)), 8.75/1.49 inference(resolution,[],[f1881,f252])). 8.75/1.49 tff(f1881,plain,( 8.75/1.49 ( ! [X2:$int] : (~mem(int,t2tb1(X2),t2tb(sK3)) | ~$less(X2,sK5)) ) | (~spl16_66 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f853,f1045])). 8.75/1.49 tff(f853,plain,( 8.75/1.49 ( ! [X2:$int] : (~mem(int,t2tb1(X2),t2tb(sK6)) | ~$less(X2,sK5)) ) | ~spl16_66), 8.75/1.49 inference(avatar_component_clause,[],[f852])). 8.75/1.49 tff(f1960,plain,( 8.75/1.49 ~spl16_4 | spl16_149 | ~spl16_66 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1947,f1044,f852,f1958,f347])). 8.75/1.49 tff(f1958,plain,( 8.75/1.49 spl16_149 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK3),sK5) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_149])])). 8.75/1.49 tff(f1947,plain,( 8.75/1.49 ( ! [X1:list_int] : (~$less(sK12(X1,sK3),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))) | ~sorted1(X1) | ~sorted1(sK3)) ) | (~spl16_66 | ~spl16_87)), 8.75/1.49 inference(resolution,[],[f1881,f247])). 8.75/1.49 tff(f1956,plain,( 8.75/1.49 ~spl16_4 | spl16_148 | ~spl16_66 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1944,f1044,f852,f1954,f347])). 8.75/1.49 tff(f1954,plain,( 8.75/1.49 spl16_148 <=> ! [X0 : list_int] : (~$less(sK11(sK3,X0),sK5) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_148])])). 8.75/1.49 tff(f1944,plain,( 8.75/1.49 ( ! [X0:list_int] : (~$less(sK11(sK3,X0),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))) | ~sorted1(sK3) | ~sorted1(X0)) ) | (~spl16_66 | ~spl16_87)), 8.75/1.49 inference(resolution,[],[f1881,f246])). 8.75/1.49 tff(f1900,plain,( 8.75/1.49 ~spl16_23 | spl16_147 | spl16_6), 8.75/1.49 inference(avatar_split_clause,[],[f1896,f353,f1898,f546])). 8.75/1.49 tff(f1896,plain,( 8.75/1.49 ( ! [X2:uni] : (t2tb1(sK0) = X2 | ~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK1))) | ~sort1(int,X2) | ~sort1(int,t2tb1(sK0))) ) | spl16_6), 8.75/1.49 inference(resolution,[],[f354,f240])). 8.75/1.49 tff(f1893,plain,( 8.75/1.49 spl16_146 | ~spl16_7 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1889,f1044,f359,f1891])). 8.75/1.49 tff(f359,plain,( 8.75/1.49 spl16_7 <=> sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_7])])). 8.75/1.49 tff(f1889,plain,( 8.75/1.49 sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK3))) | (~spl16_7 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f360,f1045])). 8.75/1.49 tff(f360,plain,( 8.75/1.49 sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | ~spl16_7), 8.75/1.49 inference(avatar_component_clause,[],[f359])). 8.75/1.49 tff(f1885,plain,( 8.75/1.49 spl16_145 | ~spl16_7 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1884,f1044,f359,f1872])). 8.75/1.49 tff(f1884,plain,( 8.75/1.49 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK3)) | (~spl16_7 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f842,f1045])). 8.75/1.49 tff(f842,plain,( 8.75/1.49 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK6)) | ~spl16_7), 8.75/1.49 inference(superposition,[],[f222,f360])). 8.75/1.49 tff(f1874,plain,( 8.75/1.49 spl16_145 | ~spl16_68 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1870,f1044,f860,f1872])). 8.75/1.49 tff(f860,plain,( 8.75/1.49 spl16_68 <=> t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK6))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_68])])). 8.75/1.49 tff(f1870,plain,( 8.75/1.49 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK3)) | (~spl16_68 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f861,f1045])). 8.75/1.49 tff(f861,plain,( 8.75/1.49 t2tb(sK1) = cons(int,t2tb1(sK5),t2tb(sK6)) | ~spl16_68), 8.75/1.49 inference(avatar_component_clause,[],[f860])). 8.75/1.49 tff(f1869,plain,( 8.75/1.49 ~spl16_11 | spl16_144 | ~spl16_68 | ~spl16_87), 8.75/1.49 inference(avatar_split_clause,[],[f1865,f1044,f860,f1867,f433])). 8.75/1.49 tff(f1865,plain,( 8.75/1.49 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK3)) | ~sorted1(sK1) | ~$less(X0,sK5)) ) | (~spl16_68 | ~spl16_87)), 8.75/1.49 inference(forward_demodulation,[],[f1864,f1045])). 8.75/1.49 tff(f1864,plain,( 8.75/1.49 ( ! [X0:$int] : (~sorted1(sK1) | ~$less(X0,sK5) | ~mem(int,t2tb1(X0),t2tb(sK6))) ) | ~spl16_68), 8.75/1.49 inference(forward_demodulation,[],[f1009,f221])). 8.75/1.49 tff(f1009,plain,( 8.75/1.49 ( ! [X0:$int] : (~sorted1(tb2t(t2tb(sK1))) | ~$less(X0,sK5) | ~mem(int,t2tb1(X0),t2tb(sK6))) ) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f254,f861])). 8.75/1.49 tff(f1863,plain,( 8.75/1.49 spl16_143 | ~spl16_11 | ~spl16_68), 8.75/1.49 inference(avatar_split_clause,[],[f1862,f860,f433,f1859])). 8.75/1.49 tff(f1862,plain,( 8.75/1.49 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK5)) ) | ~spl16_68), 8.75/1.49 inference(forward_demodulation,[],[f1011,f221])). 8.75/1.49 tff(f1011,plain,( 8.75/1.49 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~sorted1(tb2t(t2tb(sK1))) | ~$less(X1,sK5)) ) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f261,f861])). 8.75/1.49 tff(f1861,plain,( 8.75/1.49 spl16_143 | ~spl16_11 | ~spl16_68), 8.75/1.49 inference(avatar_split_clause,[],[f1857,f860,f433,f1859])). 8.75/1.49 tff(f1857,plain,( 8.75/1.49 ( ! [X2:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK5)) ) | ~spl16_68), 8.75/1.49 inference(forward_demodulation,[],[f1012,f221])). 8.75/1.49 tff(f1012,plain,( 8.75/1.49 ( ! [X2:$int] : (~sorted1(tb2t(t2tb(sK1))) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK5)) ) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f261,f861])). 8.75/1.49 tff(f1856,plain,( 8.75/1.49 spl16_142 | ~spl16_11 | ~spl16_68), 8.75/1.49 inference(avatar_split_clause,[],[f1855,f860,f433,f1852])). 8.75/1.49 tff(f1855,plain,( 8.75/1.49 ( ! [X3:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | $less(sK5,X3)) ) | ~spl16_68), 8.75/1.49 inference(forward_demodulation,[],[f1013,f221])). 8.75/1.49 tff(f1013,plain,( 8.75/1.49 ( ! [X3:$int] : (sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | ~sorted1(tb2t(t2tb(sK1))) | $less(sK5,X3)) ) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f263,f861])). 8.75/1.49 tff(f1854,plain,( 8.75/1.49 spl16_142 | ~spl16_11 | ~spl16_68), 8.75/1.49 inference(avatar_split_clause,[],[f1850,f860,f433,f1852])). 8.75/1.49 tff(f1850,plain,( 8.75/1.49 ( ! [X4:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK5,X4)) ) | ~spl16_68), 8.75/1.49 inference(forward_demodulation,[],[f1014,f221])). 8.75/1.49 tff(f1014,plain,( 8.75/1.49 ( ! [X4:$int] : (~sorted1(tb2t(t2tb(sK1))) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK5,X4)) ) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f263,f861])). 8.75/1.49 tff(f1844,plain,( 8.75/1.49 ~spl16_84 | spl16_141 | ~spl16_58 | ~spl16_68), 8.75/1.49 inference(avatar_split_clause,[],[f1843,f860,f802,f1838,f1032])). 8.75/1.49 tff(f1843,plain,( 8.75/1.49 t2tb1(sK2) = t2tb1(sK5) | ~sort1(int,t2tb1(sK5)) | (~spl16_58 | ~spl16_68)), 8.75/1.49 inference(forward_demodulation,[],[f1022,f803])). 8.75/1.49 tff(f1022,plain,( 8.75/1.49 t2tb1(sK5) = cons_proj_11(int,t2tb(sK1)) | ~sort1(int,t2tb1(sK5)) | ~spl16_68), 8.75/1.49 inference(superposition,[],[f266,f861])). 8.75/1.49 tff(f1840,plain,( 8.75/1.49 spl16_141 | ~spl16_58 | ~spl16_88), 8.75/1.49 inference(avatar_split_clause,[],[f1836,f1048,f802,f1838])). 8.75/1.49 tff(f1048,plain,( 8.75/1.49 spl16_88 <=> t2tb1(sK5) = cons_proj_11(int,t2tb(sK1))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_88])])). 8.75/1.49 tff(f1836,plain,( 8.75/1.49 t2tb1(sK2) = t2tb1(sK5) | (~spl16_58 | ~spl16_88)), 8.75/1.49 inference(forward_demodulation,[],[f1049,f803])). 8.75/1.49 tff(f1049,plain,( 8.75/1.49 t2tb1(sK5) = cons_proj_11(int,t2tb(sK1)) | ~spl16_88), 8.75/1.49 inference(avatar_component_clause,[],[f1048])). 8.75/1.49 tff(f1835,plain,( 8.75/1.49 ~spl16_54 | spl16_6 | ~spl16_30 | ~spl16_48), 8.75/1.49 inference(avatar_split_clause,[],[f1186,f712,f598,f353,f785])). 8.75/1.49 tff(f712,plain,( 8.75/1.49 spl16_48 <=> ! [X7 : uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK3))) | ~sort1(int,X7))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_48])])). 8.75/1.49 tff(f1186,plain,( 8.75/1.49 mem(int,t2tb1(sK0),t2tb(sK1)) | ~sort1(int,t2tb1(sK2)) | (~spl16_30 | ~spl16_48)), 8.75/1.49 inference(superposition,[],[f713,f599])). 8.75/1.49 tff(f713,plain,( 8.75/1.49 ( ! [X7:uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK3))) | ~sort1(int,X7)) ) | ~spl16_48), 8.75/1.49 inference(avatar_component_clause,[],[f712])). 8.75/1.49 tff(f1834,plain,( 8.75/1.49 spl16_84), 8.75/1.49 inference(avatar_contradiction_clause,[],[f1833])). 8.75/1.49 tff(f1833,plain,( 8.75/1.49 $false | spl16_84), 8.75/1.49 inference(resolution,[],[f1033,f219])). 8.75/1.49 tff(f219,plain,( 8.75/1.49 ( ! [X0:$int] : (sort1(int,t2tb1(X0))) )), 8.75/1.49 inference(cnf_transformation,[],[f26])). 8.75/1.49 tff(f26,axiom,( 8.75/1.49 ! [X0 : $int] : sort1(int,t2tb1(X0))), 8.75/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort1)). 8.75/1.49 tff(f1033,plain,( 8.75/1.49 ~sort1(int,t2tb1(sK5)) | spl16_84), 8.75/1.49 inference(avatar_component_clause,[],[f1032])). 8.75/1.49 tff(f1816,plain,( 8.75/1.49 spl16_140 | ~spl16_6 | ~spl16_1 | ~spl16_11), 8.75/1.49 inference(avatar_split_clause,[],[f1787,f433,f338,f353,f1814])). 8.75/1.49 tff(f1814,plain,( 8.75/1.49 spl16_140 <=> ! [X11 : list_int] : (~mem(int,t2tb1(sK2),t2tb(X11)) | ~sorted1(X11) | $less(sK12(sK1,X11),sK11(sK1,X11)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_140])])). 8.75/1.49 tff(f1787,plain,( 8.75/1.49 ( ! [X11:list_int] : (~mem(int,t2tb1(sK0),t2tb(sK1)) | ~mem(int,t2tb1(sK2),t2tb(X11)) | $less(sK12(sK1,X11),sK11(sK1,X11)) | ~sorted1(X11)) ) | (~spl16_1 | ~spl16_11)), 8.75/1.49 inference(resolution,[],[f835,f446])). 8.75/1.49 tff(f446,plain,( 8.75/1.49 ( ! [X4:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X4)))) | $less(sK12(sK1,X4),sK11(sK1,X4)) | ~sorted1(X4)) ) | ~spl16_11), 8.75/1.49 inference(resolution,[],[f434,f248])). 8.75/1.49 tff(f835,plain,( 8.75/1.49 ( ! [X2:list_int,X3:list_int] : (~sorted1(tb2t(infix_plpl(int,t2tb(X3),t2tb(X2)))) | ~mem(int,t2tb1(sK0),t2tb(X3)) | ~mem(int,t2tb1(sK2),t2tb(X2))) ) | ~spl16_1), 8.75/1.49 inference(resolution,[],[f421,f250])). 8.75/1.49 tff(f421,plain,( 8.75/1.49 $less(sK2,sK0) | ~spl16_1), 8.75/1.49 inference(avatar_component_clause,[],[f338])). 8.75/1.49 tff(f1812,plain,( 8.75/1.49 spl16_139 | ~spl16_6 | ~spl16_1 | ~spl16_11), 8.75/1.49 inference(avatar_split_clause,[],[f1786,f433,f338,f353,f1810])). 8.75/1.49 tff(f1810,plain,( 8.75/1.49 spl16_139 <=> ! [X10 : list_int] : (~mem(int,t2tb1(sK2),t2tb(X10)) | ~sorted1(X10) | mem(int,t2tb1(sK11(sK1,X10)),t2tb(sK1)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_139])])). 8.75/1.49 tff(f1786,plain,( 8.75/1.49 ( ! [X10:list_int] : (~mem(int,t2tb1(sK0),t2tb(sK1)) | ~mem(int,t2tb1(sK2),t2tb(X10)) | mem(int,t2tb1(sK11(sK1,X10)),t2tb(sK1)) | ~sorted1(X10)) ) | (~spl16_1 | ~spl16_11)), 8.75/1.49 inference(resolution,[],[f835,f442])). 8.75/1.49 tff(f442,plain,( 8.75/1.49 ( ! [X0:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X0)))) | mem(int,t2tb1(sK11(sK1,X0)),t2tb(sK1)) | ~sorted1(X0)) ) | ~spl16_11), 8.75/1.49 inference(resolution,[],[f434,f246])). 8.75/1.49 tff(f1808,plain,( 8.75/1.49 spl16_138 | ~spl16_6 | ~spl16_1 | ~spl16_11), 8.75/1.49 inference(avatar_split_clause,[],[f1785,f433,f338,f353,f1806])). 8.75/1.49 tff(f1806,plain,( 8.75/1.49 spl16_138 <=> ! [X9 : list_int] : (~mem(int,t2tb1(sK2),t2tb(X9)) | ~sorted1(X9) | mem(int,t2tb1(sK12(sK1,X9)),t2tb(X9)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_138])])). 8.75/1.49 tff(f1785,plain,( 8.75/1.49 ( ! [X9:list_int] : (~mem(int,t2tb1(sK0),t2tb(sK1)) | ~mem(int,t2tb1(sK2),t2tb(X9)) | mem(int,t2tb1(sK12(sK1,X9)),t2tb(X9)) | ~sorted1(X9)) ) | (~spl16_1 | ~spl16_11)), 8.75/1.49 inference(resolution,[],[f835,f444])). 8.75/1.49 tff(f1804,plain,( 8.75/1.49 ~spl16_59 | spl16_137 | ~spl16_1 | ~spl16_11), 8.75/1.49 inference(avatar_split_clause,[],[f1784,f433,f338,f1802,f806])). 8.75/1.49 tff(f806,plain,( 8.75/1.49 spl16_59 <=> mem(int,t2tb1(sK2),t2tb(sK1))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_59])])). 8.75/1.49 tff(f1802,plain,( 8.75/1.49 spl16_137 <=> ! [X8 : list_int] : (~mem(int,t2tb1(sK0),t2tb(X8)) | $less(sK12(X8,sK1),sK11(X8,sK1)) | ~sorted1(X8))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_137])])). 8.75/1.49 tff(f1784,plain,( 8.75/1.49 ( ! [X8:list_int] : (~mem(int,t2tb1(sK0),t2tb(X8)) | ~mem(int,t2tb1(sK2),t2tb(sK1)) | ~sorted1(X8) | $less(sK12(X8,sK1),sK11(X8,sK1))) ) | (~spl16_1 | ~spl16_11)), 8.75/1.49 inference(resolution,[],[f835,f447])). 8.75/1.49 tff(f447,plain,( 8.75/1.49 ( ! [X5:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X5),t2tb(sK1)))) | ~sorted1(X5) | $less(sK12(X5,sK1),sK11(X5,sK1))) ) | ~spl16_11), 8.75/1.49 inference(resolution,[],[f434,f248])). 8.75/1.49 tff(f1800,plain,( 8.75/1.49 ~spl16_59 | spl16_136 | ~spl16_1 | ~spl16_11), 8.75/1.49 inference(avatar_split_clause,[],[f1783,f433,f338,f1798,f806])). 8.75/1.49 tff(f1798,plain,( 8.75/1.49 spl16_136 <=> ! [X7 : list_int] : (~mem(int,t2tb1(sK0),t2tb(X7)) | ~sorted1(X7) | mem(int,t2tb1(sK11(X7,sK1)),t2tb(X7)))), 8.75/1.49 introduced(avatar_definition,[new_symbols(naming,[spl16_136])])). 8.75/1.49 tff(f1783,plain,( 8.75/1.49 ( ! [X7:list_int] : (~mem(int,t2tb1(sK0),t2tb(X7)) | ~mem(int,t2tb1(sK2),t2tb(sK1)) | mem(int,t2tb1(sK11(X7,sK1)),t2tb(X7)) | ~sorted1(X7)) ) | (~spl16_1 | ~spl16_11)), 8.75/1.49 inference(resolution,[],[f835,f443])). 9.10/1.50 % (24738)Time limit reached! 9.10/1.50 % (24738)------------------------------ 9.10/1.50 % (24738)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.10/1.50 % (24738)Termination reason: Time limit 9.10/1.50 9.10/1.50 % (24738)Memory used [KB]: 8827 9.10/1.50 % (24738)Time elapsed: 1.067 s 9.10/1.50 % (24738)------------------------------ 9.10/1.50 % (24738)------------------------------ 9.10/1.50 tff(f1796,plain,( 9.10/1.50 ~spl16_59 | spl16_135 | ~spl16_1 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1782,f433,f338,f1794,f806])). 9.10/1.50 tff(f1794,plain,( 9.10/1.50 spl16_135 <=> ! [X6 : list_int] : (~mem(int,t2tb1(sK0),t2tb(X6)) | mem(int,t2tb1(sK12(X6,sK1)),t2tb(sK1)) | ~sorted1(X6))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_135])])). 9.10/1.50 tff(f1782,plain,( 9.10/1.50 ( ! [X6:list_int] : (~mem(int,t2tb1(sK0),t2tb(X6)) | ~mem(int,t2tb1(sK2),t2tb(sK1)) | ~sorted1(X6) | mem(int,t2tb1(sK12(X6,sK1)),t2tb(sK1))) ) | (~spl16_1 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f835,f445])). 9.10/1.50 tff(f445,plain,( 9.10/1.50 ( ! [X3:list_int] : (sorted1(tb2t(infix_plpl(int,t2tb(X3),t2tb(sK1)))) | ~sorted1(X3) | mem(int,t2tb1(sK12(X3,sK1)),t2tb(sK1))) ) | ~spl16_11), 9.10/1.50 inference(resolution,[],[f434,f247])). 9.10/1.50 tff(f1778,plain,( 9.10/1.50 ~spl16_54 | spl16_134 | ~spl16_1), 9.10/1.50 inference(avatar_split_clause,[],[f1772,f338,f1776,f785])). 9.10/1.50 tff(f1776,plain,( 9.10/1.50 spl16_134 <=> ! [X5 : list_int,X6 : uni] : (~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(X5)))) | ~sort1(int,X6) | t2tb1(sK2) = X6 | ~mem(int,t2tb1(sK2),cons(int,X6,cons(int,t2tb1(sK0),t2tb(X5)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_134])])). 9.10/1.50 tff(f1772,plain,( 9.10/1.50 ( ! [X6:uni,X5:list_int] : (~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(X5)))) | t2tb1(sK2) = X6 | ~mem(int,t2tb1(sK2),cons(int,X6,cons(int,t2tb1(sK0),t2tb(X5)))) | ~sort1(int,X6) | ~sort1(int,t2tb1(sK2))) ) | ~spl16_1), 9.10/1.50 inference(resolution,[],[f833,f240])). 9.10/1.50 tff(f833,plain,( 9.10/1.50 ( ! [X0:list_int] : (~mem(int,t2tb1(sK2),cons(int,t2tb1(sK0),t2tb(X0))) | ~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(X0))))) ) | ~spl16_1), 9.10/1.50 inference(resolution,[],[f421,f261])). 9.10/1.50 tff(f1754,plain,( 9.10/1.50 spl16_118 | spl16_133 | ~spl16_4 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1738,f433,f387,f347,f1752,f1534])). 9.10/1.50 tff(f1534,plain,( 9.10/1.50 spl16_118 <=> ! [X6 : $int] : (~mem(int,t2tb1(X6),t2tb(sK1)) | ~$less(X6,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_118])])). 9.10/1.50 tff(f1752,plain,( 9.10/1.50 spl16_133 <=> mem(int,t2tb1(sK12(sK3,sK1)),t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_133])])). 9.10/1.50 tff(f1738,plain,( 9.10/1.50 ( ! [X8:$int] : (~sorted1(sK3) | mem(int,t2tb1(sK12(sK3,sK1)),t2tb(sK1)) | ~mem(int,t2tb1(X8),t2tb(sK1)) | ~$less(X8,sK0)) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f445,f691])). 9.10/1.50 tff(f691,plain,( 9.10/1.50 ( ! [X2:list_int,X1:$int] : (~sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X2)))) | ~mem(int,t2tb1(X1),t2tb(X2)) | ~$less(X1,sK0)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f250])). 9.10/1.50 tff(f403,plain,( 9.10/1.50 mem(int,t2tb1(sK0),t2tb(sK3)) | ~spl16_9), 9.10/1.50 inference(avatar_component_clause,[],[f387])). 9.10/1.50 tff(f1729,plain,( 9.10/1.50 ~spl16_132 | ~spl16_67 | spl16_131 | ~spl16_11 | ~spl16_66 | ~spl16_87), 9.10/1.50 inference(avatar_split_clause,[],[f1725,f1044,f852,f433,f1722,f856,f1727])). 9.10/1.50 tff(f1727,plain,( 9.10/1.50 spl16_132 <=> $less(sK12(sK1,sK6),sK5)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_132])])). 9.10/1.50 tff(f1722,plain,( 9.10/1.50 spl16_131 <=> sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK3))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_131])])). 9.10/1.50 tff(f1725,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK3)))) | ~sorted1(sK6) | ~$less(sK12(sK1,sK6),sK5) | (~spl16_11 | ~spl16_66 | ~spl16_87)), 9.10/1.50 inference(forward_demodulation,[],[f1691,f1045])). 9.10/1.50 tff(f1691,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK6)))) | ~sorted1(sK6) | ~$less(sK12(sK1,sK6),sK5) | (~spl16_11 | ~spl16_66)), 9.10/1.50 inference(resolution,[],[f444,f853])). 9.10/1.50 tff(f1724,plain,( 9.10/1.50 ~spl16_130 | ~spl16_4 | spl16_131 | ~spl16_11 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f1690,f602,f433,f1722,f347,f1719])). 9.10/1.50 tff(f1719,plain,( 9.10/1.50 spl16_130 <=> $less(sK12(sK1,sK3),sK2)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_130])])). 9.10/1.50 tff(f602,plain,( 9.10/1.50 spl16_31 <=> ! [X2 : $int] : (~$less(X2,sK2) | ~mem(int,t2tb1(X2),t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_31])])). 9.10/1.50 tff(f1690,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(sK3)))) | ~sorted1(sK3) | ~$less(sK12(sK1,sK3),sK2) | (~spl16_11 | ~spl16_31)), 9.10/1.50 inference(resolution,[],[f444,f603])). 9.10/1.50 tff(f603,plain,( 9.10/1.50 ( ! [X2:$int] : (~mem(int,t2tb1(X2),t2tb(sK3)) | ~$less(X2,sK2)) ) | ~spl16_31), 9.10/1.50 inference(avatar_component_clause,[],[f602])). 9.10/1.50 tff(f1703,plain,( 9.10/1.50 spl16_123 | ~spl16_4 | spl16_129 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1674,f433,f387,f1701,f347,f1565])). 9.10/1.50 tff(f1565,plain,( 9.10/1.50 spl16_123 <=> ! [X6 : $int] : (~mem(int,t2tb1(X6),t2tb(sK1)) | ~$less(sK0,X6))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_123])])). 9.10/1.50 tff(f1701,plain,( 9.10/1.50 spl16_129 <=> mem(int,t2tb1(sK12(sK1,sK3)),t2tb(sK3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_129])])). 9.10/1.50 tff(f1674,plain,( 9.10/1.50 ( ! [X8:$int] : (mem(int,t2tb1(sK12(sK1,sK3)),t2tb(sK3)) | ~sorted1(sK3) | ~mem(int,t2tb1(X8),t2tb(sK1)) | ~$less(sK0,X8)) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f444,f692])). 9.10/1.50 tff(f692,plain,( 9.10/1.50 ( ! [X4:list_int,X3:$int] : (~sorted1(tb2t(infix_plpl(int,t2tb(X4),t2tb(sK3)))) | ~mem(int,t2tb1(X3),t2tb(X4)) | ~$less(sK0,X3)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f250])). 9.10/1.50 tff(f1668,plain,( 9.10/1.50 ~spl16_128 | ~spl16_67 | spl16_127 | ~spl16_11 | ~spl16_66 | ~spl16_87), 9.10/1.50 inference(avatar_split_clause,[],[f1664,f1044,f852,f433,f1661,f856,f1666])). 9.10/1.50 tff(f1666,plain,( 9.10/1.50 spl16_128 <=> $less(sK11(sK6,sK1),sK5)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_128])])). 9.10/1.50 tff(f1661,plain,( 9.10/1.50 spl16_127 <=> sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(sK1))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_127])])). 9.10/1.50 tff(f1664,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(sK1)))) | ~sorted1(sK6) | ~$less(sK11(sK6,sK1),sK5) | (~spl16_11 | ~spl16_66 | ~spl16_87)), 9.10/1.50 inference(forward_demodulation,[],[f1630,f1045])). 9.10/1.50 tff(f1630,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK6),t2tb(sK1)))) | ~sorted1(sK6) | ~$less(sK11(sK6,sK1),sK5) | (~spl16_11 | ~spl16_66)), 9.10/1.50 inference(resolution,[],[f443,f853])). 9.10/1.50 tff(f1663,plain,( 9.10/1.50 ~spl16_126 | ~spl16_4 | spl16_127 | ~spl16_11 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f1629,f602,f433,f1661,f347,f1658])). 9.10/1.50 tff(f1658,plain,( 9.10/1.50 spl16_126 <=> $less(sK11(sK3,sK1),sK2)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_126])])). 9.10/1.50 tff(f1629,plain,( 9.10/1.50 sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(sK1)))) | ~sorted1(sK3) | ~$less(sK11(sK3,sK1),sK2) | (~spl16_11 | ~spl16_31)), 9.10/1.50 inference(resolution,[],[f443,f603])). 9.10/1.50 tff(f1642,plain,( 9.10/1.50 spl16_118 | ~spl16_4 | spl16_125 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1613,f433,f387,f1640,f347,f1534])). 9.10/1.50 tff(f1640,plain,( 9.10/1.50 spl16_125 <=> mem(int,t2tb1(sK11(sK3,sK1)),t2tb(sK3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_125])])). 9.10/1.50 tff(f1613,plain,( 9.10/1.50 ( ! [X8:$int] : (mem(int,t2tb1(sK11(sK3,sK1)),t2tb(sK3)) | ~sorted1(sK3) | ~mem(int,t2tb1(X8),t2tb(sK1)) | ~$less(X8,sK0)) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f443,f691])). 9.10/1.50 tff(f1593,plain,( 9.10/1.50 spl16_123 | ~spl16_4 | spl16_124 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1577,f433,f387,f1591,f347,f1565])). 9.10/1.50 tff(f1591,plain,( 9.10/1.50 spl16_124 <=> mem(int,t2tb1(sK11(sK1,sK3)),t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_124])])). 9.10/1.50 tff(f1577,plain,( 9.10/1.50 ( ! [X8:$int] : (mem(int,t2tb1(sK11(sK1,sK3)),t2tb(sK1)) | ~sorted1(sK3) | ~mem(int,t2tb1(X8),t2tb(sK1)) | ~$less(sK0,X8)) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f442,f692])). 9.10/1.50 tff(f1567,plain,( 9.10/1.50 ~spl16_4 | spl16_122 | spl16_123 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1544,f433,f387,f1565,f1562,f347])). 9.10/1.50 tff(f1562,plain,( 9.10/1.50 spl16_122 <=> $less(sK12(sK1,sK3),sK11(sK1,sK3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_122])])). 9.10/1.50 tff(f1544,plain,( 9.10/1.50 ( ! [X6:$int] : (~mem(int,t2tb1(X6),t2tb(sK1)) | ~$less(sK0,X6) | $less(sK12(sK1,sK3),sK11(sK1,sK3)) | ~sorted1(sK3)) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f692,f446])). 9.10/1.50 tff(f1560,plain,( 9.10/1.50 ~spl16_4 | spl16_121 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1543,f387,f1558,f347])). 9.10/1.50 tff(f1558,plain,( 9.10/1.50 spl16_121 <=> ! [X5 : list_int,X4 : $int] : (~mem(int,t2tb1(X4),t2tb(X5)) | $less(sK12(X5,sK3),sK11(X5,sK3)) | ~sorted1(X5) | ~$less(sK0,X4))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_121])])). 9.10/1.50 tff(f1543,plain,( 9.10/1.50 ( ! [X4:$int,X5:list_int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~$less(sK0,X4) | ~sorted1(X5) | $less(sK12(X5,sK3),sK11(X5,sK3)) | ~sorted1(sK3)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f692,f248])). 9.10/1.50 tff(f1556,plain,( 9.10/1.50 ~spl16_4 | spl16_120 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1542,f387,f1554,f347])). 9.10/1.50 tff(f1554,plain,( 9.10/1.50 spl16_120 <=> ! [X3 : list_int,X2 : $int] : (~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK12(X3,sK3)),t2tb(sK3)) | ~sorted1(X3) | ~$less(sK0,X2))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_120])])). 9.10/1.50 tff(f1542,plain,( 9.10/1.50 ( ! [X2:$int,X3:list_int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~$less(sK0,X2) | ~sorted1(X3) | mem(int,t2tb1(sK12(X3,sK3)),t2tb(sK3)) | ~sorted1(sK3)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f692,f247])). 9.10/1.50 tff(f1552,plain,( 9.10/1.50 ~spl16_4 | spl16_119 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1541,f387,f1550,f347])). 9.10/1.50 tff(f1550,plain,( 9.10/1.50 spl16_119 <=> ! [X1 : list_int,X0 : $int] : (~mem(int,t2tb1(X0),t2tb(X1)) | mem(int,t2tb1(sK11(X1,sK3)),t2tb(X1)) | ~sorted1(X1) | ~$less(sK0,X0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_119])])). 9.10/1.50 tff(f1541,plain,( 9.10/1.50 ( ! [X0:$int,X1:list_int] : (~mem(int,t2tb1(X0),t2tb(X1)) | ~$less(sK0,X0) | ~sorted1(X1) | mem(int,t2tb1(sK11(X1,sK3)),t2tb(X1)) | ~sorted1(sK3)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f692,f246])). 9.10/1.50 tff(f1536,plain,( 9.10/1.50 spl16_117 | ~spl16_4 | spl16_118 | ~spl16_9 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1513,f433,f387,f1534,f347,f1531])). 9.10/1.50 tff(f1531,plain,( 9.10/1.50 spl16_117 <=> $less(sK12(sK3,sK1),sK11(sK3,sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_117])])). 9.10/1.50 tff(f1513,plain,( 9.10/1.50 ( ! [X6:$int] : (~mem(int,t2tb1(X6),t2tb(sK1)) | ~$less(X6,sK0) | ~sorted1(sK3) | $less(sK12(sK3,sK1),sK11(sK3,sK1))) ) | (~spl16_9 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f691,f447])). 9.10/1.50 tff(f1529,plain,( 9.10/1.50 ~spl16_4 | spl16_116 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1512,f387,f1527,f347])). 9.10/1.50 tff(f1527,plain,( 9.10/1.50 spl16_116 <=> ! [X5 : list_int,X4 : $int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~sorted1(X5) | $less(sK12(sK3,X5),sK11(sK3,X5)) | ~$less(X4,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_116])])). 9.10/1.50 tff(f1512,plain,( 9.10/1.50 ( ! [X4:$int,X5:list_int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~$less(X4,sK0) | ~sorted1(sK3) | $less(sK12(sK3,X5),sK11(sK3,X5)) | ~sorted1(X5)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f691,f248])). 9.10/1.50 tff(f1525,plain,( 9.10/1.50 ~spl16_4 | spl16_115 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1511,f387,f1523,f347])). 9.10/1.50 tff(f1523,plain,( 9.10/1.50 spl16_115 <=> ! [X3 : list_int,X2 : $int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~sorted1(X3) | mem(int,t2tb1(sK12(sK3,X3)),t2tb(X3)) | ~$less(X2,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_115])])). 9.10/1.50 tff(f1511,plain,( 9.10/1.50 ( ! [X2:$int,X3:list_int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~$less(X2,sK0) | ~sorted1(sK3) | mem(int,t2tb1(sK12(sK3,X3)),t2tb(X3)) | ~sorted1(X3)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f691,f247])). 9.10/1.50 tff(f1521,plain,( 9.10/1.50 ~spl16_4 | spl16_114 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1510,f387,f1519,f347])). 9.10/1.50 tff(f1519,plain,( 9.10/1.50 spl16_114 <=> ! [X1 : list_int,X0 : $int] : (~mem(int,t2tb1(X0),t2tb(X1)) | ~sorted1(X1) | mem(int,t2tb1(sK11(sK3,X1)),t2tb(sK3)) | ~$less(X0,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_114])])). 9.10/1.50 tff(f1510,plain,( 9.10/1.50 ( ! [X0:$int,X1:list_int] : (~mem(int,t2tb1(X0),t2tb(X1)) | ~$less(X0,sK0) | ~sorted1(sK3) | mem(int,t2tb1(sK11(sK3,X1)),t2tb(sK3)) | ~sorted1(X1)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f691,f246])). 9.10/1.50 tff(f1505,plain,( 9.10/1.50 ~spl16_11 | spl16_113 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1491,f353,f1503,f433])). 9.10/1.50 tff(f1503,plain,( 9.10/1.50 spl16_113 <=> ! [X5 : list_int,X4 : $int] : (~mem(int,t2tb1(X4),t2tb(X5)) | mem(int,t2tb1(sK12(X5,sK1)),t2tb(sK1)) | ~sorted1(X5) | ~$less(sK0,X4))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_113])])). 9.10/1.50 tff(f1491,plain,( 9.10/1.50 ( ! [X4:$int,X5:list_int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~$less(sK0,X4) | ~sorted1(X5) | mem(int,t2tb1(sK12(X5,sK1)),t2tb(sK1)) | ~sorted1(sK1)) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f501,f247])). 9.10/1.50 tff(f1501,plain,( 9.10/1.50 ~spl16_11 | spl16_112 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1490,f353,f1499,f433])). 9.10/1.50 tff(f1499,plain,( 9.10/1.50 spl16_112 <=> ! [X3 : list_int,X2 : $int] : (~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK11(X3,sK1)),t2tb(X3)) | ~sorted1(X3) | ~$less(sK0,X2))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_112])])). 9.10/1.50 tff(f1490,plain,( 9.10/1.50 ( ! [X2:$int,X3:list_int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~$less(sK0,X2) | ~sorted1(X3) | mem(int,t2tb1(sK11(X3,sK1)),t2tb(X3)) | ~sorted1(sK1)) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f501,f246])). 9.10/1.50 tff(f1484,plain,( 9.10/1.50 ~spl16_11 | spl16_111 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1470,f353,f1482,f433])). 9.10/1.50 tff(f1482,plain,( 9.10/1.50 spl16_111 <=> ! [X5 : list_int,X4 : $int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~sorted1(X5) | mem(int,t2tb1(sK12(sK1,X5)),t2tb(X5)) | ~$less(X4,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_111])])). 9.10/1.50 tff(f1470,plain,( 9.10/1.50 ( ! [X4:$int,X5:list_int] : (~mem(int,t2tb1(X4),t2tb(X5)) | ~$less(X4,sK0) | ~sorted1(sK1) | mem(int,t2tb1(sK12(sK1,X5)),t2tb(X5)) | ~sorted1(X5)) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f500,f247])). 9.10/1.50 tff(f1480,plain,( 9.10/1.50 ~spl16_11 | spl16_110 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1469,f353,f1478,f433])). 9.10/1.50 tff(f1478,plain,( 9.10/1.50 spl16_110 <=> ! [X3 : list_int,X2 : $int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~sorted1(X3) | mem(int,t2tb1(sK11(sK1,X3)),t2tb(sK1)) | ~$less(X2,sK0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_110])])). 9.10/1.50 tff(f1469,plain,( 9.10/1.50 ( ! [X2:$int,X3:list_int] : (~mem(int,t2tb1(X2),t2tb(X3)) | ~$less(X2,sK0) | ~sorted1(sK1) | mem(int,t2tb1(sK11(sK1,X3)),t2tb(sK1)) | ~sorted1(X3)) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f500,f246])). 9.10/1.50 tff(f1407,plain,( 9.10/1.50 ~spl16_23 | spl16_109 | ~spl16_43), 9.10/1.50 inference(avatar_split_clause,[],[f1397,f673,f1405,f546])). 9.10/1.50 tff(f1405,plain,( 9.10/1.50 spl16_109 <=> ! [X5 : uni,X6 : uni] : (~sort1(int,X5) | ~sort1(int,X6) | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,nil(int)))) | t2tb1(sK0) = X5)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_109])])). 9.10/1.50 tff(f673,plain,( 9.10/1.50 spl16_43 <=> ! [X2 : uni] : (t2tb1(sK0) = X2 | ~sort1(int,X2) | ~mem(int,t2tb1(sK0),cons(int,X2,nil(int))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_43])])). 9.10/1.50 tff(f1397,plain,( 9.10/1.50 ( ! [X6:uni,X5:uni] : (~sort1(int,X5) | t2tb1(sK0) = X5 | t2tb1(sK0) = X6 | ~mem(int,t2tb1(sK0),cons(int,X6,cons(int,X5,nil(int)))) | ~sort1(int,X6) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_43), 9.10/1.50 inference(resolution,[],[f674,f240])). 9.10/1.50 tff(f674,plain,( 9.10/1.50 ( ! [X2:uni] : (~mem(int,t2tb1(sK0),cons(int,X2,nil(int))) | ~sort1(int,X2) | t2tb1(sK0) = X2) ) | ~spl16_43), 9.10/1.50 inference(avatar_component_clause,[],[f673])). 9.10/1.50 tff(f1378,plain,( 9.10/1.50 ~spl16_59 | spl16_108 | ~spl16_1 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1362,f433,f338,f1376,f806])). 9.10/1.50 tff(f1376,plain,( 9.10/1.50 spl16_108 <=> mem(int,t2tb1(sK13(sK0,sK1)),t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_108])])). 9.10/1.50 tff(f1362,plain,( 9.10/1.50 mem(int,t2tb1(sK13(sK0,sK1)),t2tb(sK1)) | ~mem(int,t2tb1(sK2),t2tb(sK1)) | (~spl16_1 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f448,f834])). 9.10/1.50 tff(f834,plain,( 9.10/1.50 ( ! [X1:list_int] : (~sorted1(tb2t(cons(int,t2tb1(sK0),t2tb(X1)))) | ~mem(int,t2tb1(sK2),t2tb(X1))) ) | ~spl16_1), 9.10/1.50 inference(resolution,[],[f421,f254])). 9.10/1.50 tff(f448,plain,( 9.10/1.50 ( ! [X6:$int] : (sorted1(tb2t(cons(int,t2tb1(X6),t2tb(sK1)))) | mem(int,t2tb1(sK13(X6,sK1)),t2tb(sK1))) ) | ~spl16_11), 9.10/1.50 inference(resolution,[],[f434,f252])). 9.10/1.50 tff(f1300,plain,( 9.10/1.50 ~spl16_23 | spl16_107 | spl16_21), 9.10/1.50 inference(avatar_split_clause,[],[f1276,f534,f1298,f546])). 9.10/1.50 tff(f1298,plain,( 9.10/1.50 spl16_107 <=> ! [X13 : uni,X14 : uni] : (cons(int,cons_proj_11(int,X13),cons_proj_21(int,X13)) = X13 | ~sort1(int,X14) | t2tb1(sK0) = X14 | ~mem(int,t2tb1(sK0),cons(int,X14,X13)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_107])])). 9.10/1.50 tff(f534,plain,( 9.10/1.50 spl16_21 <=> mem(int,t2tb1(sK0),nil(int))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_21])])). 9.10/1.50 tff(f1276,plain,( 9.10/1.50 ( ! [X14:uni,X13:uni] : (cons(int,cons_proj_11(int,X13),cons_proj_21(int,X13)) = X13 | t2tb1(sK0) = X14 | ~mem(int,t2tb1(sK0),cons(int,X14,X13)) | ~sort1(int,X14) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(resolution,[],[f556,f240])). 9.10/1.50 tff(f556,plain,( 9.10/1.50 ( ! [X1:uni] : (~mem(int,t2tb1(sK0),X1) | cons(int,cons_proj_11(int,X1),cons_proj_21(int,X1)) = X1) ) | spl16_21), 9.10/1.50 inference(superposition,[],[f535,f239])). 9.10/1.50 tff(f239,plain,( 9.10/1.50 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1) )), 9.10/1.50 inference(cnf_transformation,[],[f68])). 9.10/1.50 tff(f68,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1)), 9.10/1.50 inference(rectify,[],[f45])). 9.10/1.50 tff(f45,axiom,( 9.10/1.50 ! [X3 : ty,X4 : uni] : (cons(X3,cons_proj_11(X3,X4),cons_proj_21(X3,X4)) = X4 | nil(X3) = X4)), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion1)). 9.10/1.50 tff(f535,plain,( 9.10/1.50 ~mem(int,t2tb1(sK0),nil(int)) | spl16_21), 9.10/1.50 inference(avatar_component_clause,[],[f534])). 9.10/1.50 tff(f1296,plain,( 9.10/1.50 ~spl16_23 | spl16_106 | spl16_21), 9.10/1.50 inference(avatar_split_clause,[],[f1292,f534,f1294,f546])). 9.10/1.50 tff(f1294,plain,( 9.10/1.50 spl16_106 <=> ! [X7 : uni,X8 : uni] : (cons(int,X7,X8) = cons(int,cons_proj_11(int,cons(int,X7,X8)),X8) | ~sort1(int,X7) | ~mem(int,t2tb1(sK0),X8))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_106])])). 9.10/1.50 tff(f1292,plain,( 9.10/1.50 ( ! [X8:uni,X7:uni] : (cons(int,X7,X8) = cons(int,cons_proj_11(int,cons(int,X7,X8)),X8) | ~mem(int,t2tb1(sK0),X8) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(forward_demodulation,[],[f1273,f259])). 9.10/1.50 tff(f259,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_21(X0,cons(X0,X1,X2)) = X2) )), 9.10/1.50 inference(cnf_transformation,[],[f76])). 9.10/1.50 tff(f76,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_21(X0,cons(X0,X1,X2)) = X2), 9.10/1.50 inference(rectify,[],[f35])). 9.10/1.50 tff(f35,axiom,( 9.10/1.50 ! [X3 : ty,X4 : uni,X5 : uni] : cons_proj_21(X3,cons(X3,X4,X5)) = X5), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1)). 9.10/1.50 tff(f1273,plain,( 9.10/1.50 ( ! [X8:uni,X7:uni] : (cons(int,X7,X8) = cons(int,cons_proj_11(int,cons(int,X7,X8)),cons_proj_21(int,cons(int,X7,X8))) | ~mem(int,t2tb1(sK0),X8) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(resolution,[],[f556,f241])). 9.10/1.50 tff(f241,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 9.10/1.50 inference(cnf_transformation,[],[f120])). 9.10/1.50 tff(f1291,plain,( 9.10/1.50 ~spl16_23 | spl16_105 | spl16_21), 9.10/1.50 inference(avatar_split_clause,[],[f1287,f534,f1289,f546])). 9.10/1.50 tff(f1289,plain,( 9.10/1.50 spl16_105 <=> ! [X6 : uni] : cons(int,t2tb1(sK0),X6) = cons(int,cons_proj_11(int,cons(int,t2tb1(sK0),X6)),X6)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_105])])). 9.10/1.50 tff(f1287,plain,( 9.10/1.50 ( ! [X6:uni] : (cons(int,t2tb1(sK0),X6) = cons(int,cons_proj_11(int,cons(int,t2tb1(sK0),X6)),X6) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(forward_demodulation,[],[f1272,f259])). 9.10/1.50 tff(f1272,plain,( 9.10/1.50 ( ! [X6:uni] : (cons(int,t2tb1(sK0),X6) = cons(int,cons_proj_11(int,cons(int,t2tb1(sK0),X6)),cons_proj_21(int,cons(int,t2tb1(sK0),X6))) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(resolution,[],[f556,f280])). 9.10/1.50 tff(f1284,plain,( 9.10/1.50 spl16_104 | ~spl16_9 | spl16_21), 9.10/1.50 inference(avatar_split_clause,[],[f1265,f534,f387,f1282])). 9.10/1.50 tff(f1282,plain,( 9.10/1.50 spl16_104 <=> t2tb(sK3) = cons(int,cons_proj_11(int,t2tb(sK3)),cons_proj_21(int,t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_104])])). 9.10/1.50 tff(f1265,plain,( 9.10/1.50 t2tb(sK3) = cons(int,cons_proj_11(int,t2tb(sK3)),cons_proj_21(int,t2tb(sK3))) | (~spl16_9 | spl16_21)), 9.10/1.50 inference(resolution,[],[f556,f403])). 9.10/1.50 tff(f1259,plain,( 9.10/1.50 spl16_103 | ~spl16_59 | ~spl16_1 | ~spl16_64 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1246,f860,f844,f338,f806,f1257])). 9.10/1.50 tff(f844,plain,( 9.10/1.50 spl16_64 <=> ! [X0 : $int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK5),t2tb(sK6))))) | $less(sK5,X0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_64])])). 9.10/1.50 tff(f1246,plain,( 9.10/1.50 ~mem(int,t2tb1(sK2),t2tb(sK1)) | $less(sK5,sK0) | (~spl16_1 | ~spl16_64 | ~spl16_68)), 9.10/1.50 inference(resolution,[],[f834,f864])). 9.10/1.50 tff(f864,plain,( 9.10/1.50 ( ! [X0:$int] : (sorted1(tb2t(cons(int,t2tb1(X0),t2tb(sK1)))) | $less(sK5,X0)) ) | (~spl16_64 | ~spl16_68)), 9.10/1.50 inference(forward_demodulation,[],[f845,f861])). 9.10/1.50 tff(f845,plain,( 9.10/1.50 ( ! [X0:$int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK5),t2tb(sK6))))) | $less(sK5,X0)) ) | ~spl16_64), 9.10/1.50 inference(avatar_component_clause,[],[f844])). 9.10/1.50 tff(f1255,plain,( 9.10/1.50 spl16_102 | ~spl16_59 | ~spl16_1 | ~spl16_11), 9.10/1.50 inference(avatar_split_clause,[],[f1245,f433,f338,f806,f1252])). 9.10/1.50 tff(f1252,plain,( 9.10/1.50 spl16_102 <=> $less(sK13(sK0,sK1),sK0)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_102])])). 9.10/1.50 tff(f1245,plain,( 9.10/1.50 ~mem(int,t2tb1(sK2),t2tb(sK1)) | $less(sK13(sK0,sK1),sK0) | (~spl16_1 | ~spl16_11)), 9.10/1.50 inference(resolution,[],[f834,f449])). 9.10/1.50 tff(f449,plain,( 9.10/1.50 ( ! [X7:$int] : (sorted1(tb2t(cons(int,t2tb1(X7),t2tb(sK1)))) | $less(sK13(X7,sK1),X7)) ) | ~spl16_11), 9.10/1.50 inference(resolution,[],[f434,f253])). 9.10/1.50 tff(f1237,plain,( 9.10/1.50 ~spl16_54 | ~spl16_101 | ~spl16_32), 9.10/1.50 inference(avatar_split_clause,[],[f1227,f606,f1235,f785])). 9.10/1.50 tff(f1235,plain,( 9.10/1.50 spl16_101 <=> $less(sK2,sK2)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_101])])). 9.10/1.50 tff(f1227,plain,( 9.10/1.50 ~$less(sK2,sK2) | ~sort1(int,t2tb1(sK2)) | ~spl16_32), 9.10/1.50 inference(resolution,[],[f607,f280])). 9.10/1.50 tff(f1192,plain,( 9.10/1.50 ~spl16_23 | spl16_100 | ~spl16_48), 9.10/1.50 inference(avatar_split_clause,[],[f1185,f712,f1190,f546])). 9.10/1.50 tff(f1190,plain,( 9.10/1.50 spl16_100 <=> ! [X9 : uni,X10 : uni] : (~sort1(int,X9) | ~sort1(int,X10) | mem(int,t2tb1(sK0),cons(int,X10,cons(int,X9,t2tb(sK3)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_100])])). 9.10/1.50 tff(f1185,plain,( 9.10/1.50 ( ! [X10:uni,X9:uni] : (~sort1(int,X9) | mem(int,t2tb1(sK0),cons(int,X10,cons(int,X9,t2tb(sK3)))) | ~sort1(int,X10) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_48), 9.10/1.50 inference(resolution,[],[f713,f241])). 9.10/1.50 tff(f1177,plain,( 9.10/1.50 ~spl16_23 | spl16_99 | ~spl16_42), 9.10/1.50 inference(avatar_split_clause,[],[f1171,f668,f1175,f546])). 9.10/1.50 tff(f1175,plain,( 9.10/1.50 spl16_99 <=> ! [X9 : uni,X10 : uni] : (~sort1(int,X9) | ~sort1(int,X10) | mem(int,t2tb1(sK0),cons(int,X10,cons(int,X9,t2tb(sK1)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_99])])). 9.10/1.50 tff(f1171,plain,( 9.10/1.50 ( ! [X10:uni,X9:uni] : (~sort1(int,X9) | mem(int,t2tb1(sK0),cons(int,X10,cons(int,X9,t2tb(sK1)))) | ~sort1(int,X10) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_42), 9.10/1.50 inference(resolution,[],[f669,f241])). 9.10/1.50 tff(f1128,plain,( 9.10/1.50 ~spl16_4 | spl16_98 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1114,f387,f1126,f347])). 9.10/1.50 tff(f1126,plain,( 9.10/1.50 spl16_98 <=> ! [X1 : $int] : (~$less(sK0,X1) | $less(sK13(X1,sK3),X1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_98])])). 9.10/1.50 tff(f1114,plain,( 9.10/1.50 ( ! [X1:$int] : (~$less(sK0,X1) | ~sorted1(sK3) | $less(sK13(X1,sK3),X1)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f690,f253])). 9.10/1.50 tff(f690,plain,( 9.10/1.50 ( ! [X0:$int] : (~sorted1(tb2t(cons(int,t2tb1(X0),t2tb(sK3)))) | ~$less(sK0,X0)) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f254])). 9.10/1.50 tff(f1124,plain,( 9.10/1.50 ~spl16_4 | spl16_97 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f1113,f387,f1122,f347])). 9.10/1.50 tff(f1122,plain,( 9.10/1.50 spl16_97 <=> ! [X0 : $int] : (~$less(sK0,X0) | mem(int,t2tb1(sK13(X0,sK3)),t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_97])])). 9.10/1.50 tff(f1113,plain,( 9.10/1.50 ( ! [X0:$int] : (~$less(sK0,X0) | ~sorted1(sK3) | mem(int,t2tb1(sK13(X0,sK3)),t2tb(sK3))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f690,f252])). 9.10/1.50 tff(f1108,plain,( 9.10/1.50 ~spl16_11 | spl16_96 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1096,f353,f1106,f433])). 9.10/1.50 tff(f1106,plain,( 9.10/1.50 spl16_96 <=> ! [X1 : $int] : (~$less(sK0,X1) | $less(sK13(X1,sK1),X1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_96])])). 9.10/1.50 tff(f1096,plain,( 9.10/1.50 ( ! [X1:$int] : (~$less(sK0,X1) | ~sorted1(sK1) | $less(sK13(X1,sK1),X1)) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f499,f253])). 9.10/1.50 tff(f1104,plain,( 9.10/1.50 ~spl16_11 | spl16_95 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f1095,f353,f1102,f433])). 9.10/1.50 tff(f1102,plain,( 9.10/1.50 spl16_95 <=> ! [X0 : $int] : (~$less(sK0,X0) | mem(int,t2tb1(sK13(X0,sK1)),t2tb(sK1)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_95])])). 9.10/1.50 tff(f1095,plain,( 9.10/1.50 ( ! [X0:$int] : (~$less(sK0,X0) | ~sorted1(sK1) | mem(int,t2tb1(sK13(X0,sK1)),t2tb(sK1))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f499,f252])). 9.10/1.50 tff(f1089,plain,( 9.10/1.50 spl16_94 | ~spl16_14), 9.10/1.50 inference(avatar_split_clause,[],[f1085,f475,f1087])). 9.10/1.50 tff(f1087,plain,( 9.10/1.50 spl16_94 <=> t2tb(sK1) = cons(int,t2tb1(sK10(sK1)),nil(int))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_94])])). 9.10/1.50 tff(f475,plain,( 9.10/1.50 spl16_14 <=> sK1 = tb2t(cons(int,t2tb1(sK10(sK1)),nil(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_14])])). 9.10/1.50 tff(f1085,plain,( 9.10/1.50 t2tb(sK1) = cons(int,t2tb1(sK10(sK1)),nil(int)) | ~spl16_14), 9.10/1.50 inference(superposition,[],[f222,f476])). 9.10/1.50 tff(f476,plain,( 9.10/1.50 sK1 = tb2t(cons(int,t2tb1(sK10(sK1)),nil(int))) | ~spl16_14), 9.10/1.50 inference(avatar_component_clause,[],[f475])). 9.10/1.50 tff(f1081,plain,( 9.10/1.50 ~spl16_11 | spl16_93 | ~spl16_65 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1061,f860,f848,f1079,f433])). 9.10/1.50 tff(f1079,plain,( 9.10/1.50 spl16_93 <=> ! [X2 : $int] : (~$less(sK13(X2,sK1),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK1)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_93])])). 9.10/1.50 tff(f1061,plain,( 9.10/1.50 ( ! [X2:$int] : (~$less(sK13(X2,sK1),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK1)))) | ~sorted1(sK1)) ) | (~spl16_65 | ~spl16_68)), 9.10/1.50 inference(resolution,[],[f863,f252])). 9.10/1.50 tff(f863,plain,( 9.10/1.50 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK5)) ) | (~spl16_65 | ~spl16_68)), 9.10/1.50 inference(forward_demodulation,[],[f849,f861])). 9.10/1.50 tff(f1077,plain,( 9.10/1.50 ~spl16_11 | spl16_92 | ~spl16_65 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1060,f860,f848,f1075,f433])). 9.10/1.50 tff(f1075,plain,( 9.10/1.50 spl16_92 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK1),sK5) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK1)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_92])])). 9.10/1.50 tff(f1060,plain,( 9.10/1.50 ( ! [X1:list_int] : (~$less(sK12(X1,sK1),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK1)))) | ~sorted1(X1) | ~sorted1(sK1)) ) | (~spl16_65 | ~spl16_68)), 9.10/1.50 inference(resolution,[],[f863,f247])). 9.10/1.50 tff(f1073,plain,( 9.10/1.50 ~spl16_11 | spl16_91 | ~spl16_65 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1059,f860,f848,f1071,f433])). 9.10/1.50 tff(f1071,plain,( 9.10/1.50 spl16_91 <=> ! [X0 : list_int] : (~$less(sK11(sK1,X0),sK5) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X0)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_91])])). 9.10/1.50 tff(f1059,plain,( 9.10/1.50 ( ! [X0:list_int] : (~$less(sK11(sK1,X0),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(sK1),t2tb(X0)))) | ~sorted1(sK1) | ~sorted1(X0)) ) | (~spl16_65 | ~spl16_68)), 9.10/1.50 inference(resolution,[],[f863,f246])). 9.10/1.50 tff(f1069,plain,( 9.10/1.50 ~spl16_90 | ~spl16_6 | ~spl16_65 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1058,f860,f848,f353,f1067])). 9.10/1.50 tff(f1058,plain,( 9.10/1.50 ~$less(sK0,sK5) | (~spl16_6 | ~spl16_65 | ~spl16_68)), 9.10/1.50 inference(resolution,[],[f863,f368])). 9.10/1.50 tff(f1057,plain,( 9.10/1.50 spl16_54), 9.10/1.50 inference(avatar_contradiction_clause,[],[f1056])). 9.10/1.50 tff(f1056,plain,( 9.10/1.50 $false | spl16_54), 9.10/1.50 inference(resolution,[],[f786,f219])). 9.10/1.50 tff(f786,plain,( 9.10/1.50 ~sort1(int,t2tb1(sK2)) | spl16_54), 9.10/1.50 inference(avatar_component_clause,[],[f785])). 9.10/1.50 tff(f1054,plain,( 9.10/1.50 ~spl16_84 | spl16_89 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1024,f860,f1052,f1032])). 9.10/1.50 tff(f1052,plain,( 9.10/1.50 spl16_89 <=> mem(int,t2tb1(sK5),t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_89])])). 9.10/1.50 tff(f1024,plain,( 9.10/1.50 mem(int,t2tb1(sK5),t2tb(sK1)) | ~sort1(int,t2tb1(sK5)) | ~spl16_68), 9.10/1.50 inference(superposition,[],[f280,f861])). 9.10/1.50 tff(f1050,plain,( 9.10/1.50 ~spl16_84 | spl16_88 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1022,f860,f1048,f1032])). 9.10/1.50 tff(f1046,plain,( 9.10/1.50 spl16_87 | ~spl16_57 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1042,f860,f798,f1044])). 9.10/1.50 tff(f798,plain,( 9.10/1.50 spl16_57 <=> t2tb(sK3) = cons_proj_21(int,t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_57])])). 9.10/1.50 tff(f1042,plain,( 9.10/1.50 t2tb(sK3) = t2tb(sK6) | (~spl16_57 | ~spl16_68)), 9.10/1.50 inference(forward_demodulation,[],[f1021,f799])). 9.10/1.50 tff(f799,plain,( 9.10/1.50 t2tb(sK3) = cons_proj_21(int,t2tb(sK1)) | ~spl16_57), 9.10/1.50 inference(avatar_component_clause,[],[f798])). 9.10/1.50 tff(f1021,plain,( 9.10/1.50 t2tb(sK6) = cons_proj_21(int,t2tb(sK1)) | ~spl16_68), 9.10/1.50 inference(superposition,[],[f259,f861])). 9.10/1.50 tff(f1041,plain,( 9.10/1.50 ~spl16_84 | spl16_86 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1018,f860,f1039,f1032])). 9.10/1.50 tff(f1039,plain,( 9.10/1.50 spl16_86 <=> ! [X7 : uni] : (mem(int,X7,t2tb(sK1)) | ~sort1(int,X7) | ~mem(int,X7,t2tb(sK6)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_86])])). 9.10/1.50 tff(f1018,plain,( 9.10/1.50 ( ! [X7:uni] : (mem(int,X7,t2tb(sK1)) | ~mem(int,X7,t2tb(sK6)) | ~sort1(int,t2tb1(sK5)) | ~sort1(int,X7)) ) | ~spl16_68), 9.10/1.50 inference(superposition,[],[f241,f861])). 9.10/1.50 tff(f1037,plain,( 9.10/1.50 ~spl16_84 | spl16_85 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1017,f860,f1035,f1032])). 9.10/1.50 tff(f1035,plain,( 9.10/1.50 spl16_85 <=> ! [X6 : uni] : (~mem(int,X6,t2tb(sK1)) | ~sort1(int,X6) | mem(int,X6,t2tb(sK6)) | t2tb1(sK5) = X6)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_85])])). 9.10/1.50 tff(f1017,plain,( 9.10/1.50 ( ! [X6:uni] : (~mem(int,X6,t2tb(sK1)) | t2tb1(sK5) = X6 | mem(int,X6,t2tb(sK6)) | ~sort1(int,t2tb1(sK5)) | ~sort1(int,X6)) ) | ~spl16_68), 9.10/1.50 inference(superposition,[],[f240,f861])). 9.10/1.50 tff(f1030,plain,( 9.10/1.50 spl16_83 | ~spl16_68), 9.10/1.50 inference(avatar_split_clause,[],[f1015,f860,f1028])). 9.10/1.50 tff(f1028,plain,( 9.10/1.50 spl16_83 <=> length1(int,t2tb(sK1)) = $sum(1,length1(int,t2tb(sK6)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_83])])). 9.10/1.50 tff(f1015,plain,( 9.10/1.50 length1(int,t2tb(sK1)) = $sum(1,length1(int,t2tb(sK6))) | ~spl16_68), 9.10/1.50 inference(superposition,[],[f227,f861])). 9.10/1.50 tff(f227,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2))) )), 9.10/1.50 inference(cnf_transformation,[],[f60])). 9.10/1.50 tff(f60,plain,( 9.10/1.50 ! [X0 : ty] : (0 = length1(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)))), 9.10/1.50 inference(rectify,[],[f40])). 9.10/1.50 tff(f40,axiom,( 9.10/1.50 ! [X3 : ty] : (0 = length1(X3,nil(X3)) & ! [X0 : uni,X6 : uni] : length1(X3,cons(X3,X0,X6)) = $sum(1,length1(X3,X6)))), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 9.10/1.50 tff(f1005,plain,( 9.10/1.50 ~spl16_67 | spl16_82 | ~spl16_66), 9.10/1.50 inference(avatar_split_clause,[],[f988,f852,f1003,f856])). 9.10/1.50 tff(f1003,plain,( 9.10/1.50 spl16_82 <=> ! [X2 : $int] : (~$less(sK13(X2,sK6),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK6)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_82])])). 9.10/1.50 tff(f988,plain,( 9.10/1.50 ( ! [X2:$int] : (~$less(sK13(X2,sK6),sK5) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK6)))) | ~sorted1(sK6)) ) | ~spl16_66), 9.10/1.50 inference(resolution,[],[f853,f252])). 9.10/1.50 tff(f1001,plain,( 9.10/1.50 ~spl16_67 | spl16_81 | ~spl16_66), 9.10/1.50 inference(avatar_split_clause,[],[f987,f852,f999,f856])). 9.10/1.50 tff(f999,plain,( 9.10/1.50 spl16_81 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK6),sK5) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK6)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_81])])). 9.10/1.50 tff(f987,plain,( 9.10/1.50 ( ! [X1:list_int] : (~$less(sK12(X1,sK6),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK6)))) | ~sorted1(X1) | ~sorted1(sK6)) ) | ~spl16_66), 9.10/1.50 inference(resolution,[],[f853,f247])). 9.10/1.50 tff(f997,plain,( 9.10/1.50 ~spl16_67 | spl16_80 | ~spl16_66), 9.10/1.50 inference(avatar_split_clause,[],[f986,f852,f995,f856])). 9.10/1.50 tff(f995,plain,( 9.10/1.50 spl16_80 <=> ! [X0 : list_int] : (~$less(sK11(sK6,X0),sK5) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK6),t2tb(X0)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_80])])). 9.10/1.50 tff(f986,plain,( 9.10/1.50 ( ! [X0:list_int] : (~$less(sK11(sK6,X0),sK5) | sorted1(tb2t(infix_plpl(int,t2tb(sK6),t2tb(X0)))) | ~sorted1(sK6) | ~sorted1(X0)) ) | ~spl16_66), 9.10/1.50 inference(resolution,[],[f853,f246])). 9.10/1.50 tff(f985,plain,( 9.10/1.50 ~spl16_79 | ~spl16_47), 9.10/1.50 inference(avatar_split_clause,[],[f975,f708,f983])). 9.10/1.50 tff(f983,plain,( 9.10/1.50 spl16_79 <=> mem(list(int),sK14(int,t2tb1(sK0),t2tb(sK3)),nil(list(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_79])])). 9.10/1.50 tff(f708,plain,( 9.10/1.50 spl16_47 <=> sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_47])])). 9.10/1.50 tff(f975,plain,( 9.10/1.50 ~mem(list(int),sK14(int,t2tb1(sK0),t2tb(sK3)),nil(list(int))) | ~spl16_47), 9.10/1.50 inference(resolution,[],[f709,f243])). 9.10/1.50 tff(f709,plain,( 9.10/1.50 sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK3))) | ~spl16_47), 9.10/1.50 inference(avatar_component_clause,[],[f708])). 9.10/1.50 tff(f970,plain,( 9.10/1.50 ~spl16_78 | ~spl16_46), 9.10/1.50 inference(avatar_split_clause,[],[f960,f704,f968])). 9.10/1.50 tff(f968,plain,( 9.10/1.50 spl16_78 <=> mem(list(int),sK15(int,t2tb1(sK0),t2tb(sK3)),nil(list(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_78])])). 9.10/1.50 tff(f704,plain,( 9.10/1.50 spl16_46 <=> sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_46])])). 9.10/1.50 tff(f960,plain,( 9.10/1.50 ~mem(list(int),sK15(int,t2tb1(sK0),t2tb(sK3)),nil(list(int))) | ~spl16_46), 9.10/1.50 inference(resolution,[],[f705,f243])). 9.10/1.50 tff(f705,plain,( 9.10/1.50 sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK3))) | ~spl16_46), 9.10/1.50 inference(avatar_component_clause,[],[f704])). 9.10/1.50 tff(f955,plain,( 9.10/1.50 ~spl16_23 | spl16_77 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f946,f387,f953,f546])). 9.10/1.50 tff(f953,plain,( 9.10/1.50 spl16_77 <=> ! [X9 : uni,X8 : uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,X9,t2tb(sK3)))) | ~sort1(int,X8))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_77])])). 9.10/1.50 tff(f946,plain,( 9.10/1.50 ( ! [X8:uni,X9:uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,X9,t2tb(sK3)))) | ~sort1(int,X8) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f694,f241])). 9.10/1.50 tff(f694,plain,( 9.10/1.50 ( ! [X6:uni] : (mem(int,t2tb1(sK0),infix_plpl(int,X6,t2tb(sK3)))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f274])). 9.10/1.50 tff(f274,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 9.10/1.50 inference(cnf_transformation,[],[f135])). 9.10/1.50 tff(f939,plain,( 9.10/1.50 ~spl16_23 | spl16_76 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f932,f387,f937,f546])). 9.10/1.50 tff(f937,plain,( 9.10/1.50 spl16_76 <=> ! [X9 : uni,X8 : uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,t2tb(sK3),X9))) | ~sort1(int,X8))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_76])])). 9.10/1.50 tff(f932,plain,( 9.10/1.50 ( ! [X8:uni,X9:uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,t2tb(sK3),X9))) | ~sort1(int,X8) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f693,f241])). 9.10/1.50 tff(f693,plain,( 9.10/1.50 ( ! [X5:uni] : (mem(int,t2tb1(sK0),infix_plpl(int,t2tb(sK3),X5))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f273])). 9.10/1.50 tff(f925,plain,( 9.10/1.50 ~spl16_75 | ~spl16_35), 9.10/1.50 inference(avatar_split_clause,[],[f915,f618,f923])). 9.10/1.50 tff(f923,plain,( 9.10/1.50 spl16_75 <=> mem(list(int),sK15(int,t2tb1(sK0),t2tb(sK1)),nil(list(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_75])])). 9.10/1.50 tff(f618,plain,( 9.10/1.50 spl16_35 <=> sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK1)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_35])])). 9.10/1.50 tff(f915,plain,( 9.10/1.50 ~mem(list(int),sK15(int,t2tb1(sK0),t2tb(sK1)),nil(list(int))) | ~spl16_35), 9.10/1.50 inference(resolution,[],[f619,f243])). 9.10/1.50 tff(f619,plain,( 9.10/1.50 sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK1))) | ~spl16_35), 9.10/1.50 inference(avatar_component_clause,[],[f618])). 9.10/1.50 tff(f910,plain,( 9.10/1.50 ~spl16_74 | ~spl16_34), 9.10/1.50 inference(avatar_split_clause,[],[f900,f614,f908])). 9.10/1.50 tff(f908,plain,( 9.10/1.50 spl16_74 <=> mem(list(int),sK14(int,t2tb1(sK0),t2tb(sK1)),nil(list(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_74])])). 9.10/1.50 tff(f614,plain,( 9.10/1.50 spl16_34 <=> sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK1)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_34])])). 9.10/1.50 tff(f900,plain,( 9.10/1.50 ~mem(list(int),sK14(int,t2tb1(sK0),t2tb(sK1)),nil(list(int))) | ~spl16_34), 9.10/1.50 inference(resolution,[],[f615,f243])). 9.10/1.50 tff(f615,plain,( 9.10/1.50 sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK1))) | ~spl16_34), 9.10/1.50 inference(avatar_component_clause,[],[f614])). 9.10/1.50 tff(f893,plain,( 9.10/1.50 spl16_69 | spl16_70 | ~spl16_73 | ~spl16_67), 9.10/1.50 inference(avatar_split_clause,[],[f867,f856,f891,f880,f877])). 9.10/1.50 tff(f877,plain,( 9.10/1.50 spl16_69 <=> tb2t(nil(int)) = sK6), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_69])])). 9.10/1.50 tff(f880,plain,( 9.10/1.50 spl16_70 <=> sK6 = tb2t(cons(int,t2tb1(sK10(sK6)),nil(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_70])])). 9.10/1.50 tff(f891,plain,( 9.10/1.50 spl16_73 <=> $less(sK8(sK6),sK7(sK6))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_73])])). 9.10/1.50 tff(f867,plain,( 9.10/1.50 ~$less(sK8(sK6),sK7(sK6)) | sK6 = tb2t(cons(int,t2tb1(sK10(sK6)),nil(int))) | tb2t(nil(int)) = sK6 | ~spl16_67), 9.10/1.50 inference(resolution,[],[f857,f232])). 9.10/1.50 tff(f232,plain,( 9.10/1.50 ( ! [X0:list_int] : (~$less(sK8(X0),sK7(X0)) | tb2t(cons(int,t2tb1(sK10(X0)),nil(int))) = X0 | tb2t(nil(int)) = X0 | ~sorted1(X0)) )), 9.10/1.50 inference(cnf_transformation,[],[f118])). 9.10/1.50 tff(f118,plain,( 9.10/1.50 ! [X0 : list_int] : ((~$less(sK8(X0),sK7(X0)) & sorted1(tb2t(cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) & tb2t(cons(int,t2tb1(sK7(X0)),cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) = X0) | tb2t(cons(int,t2tb1(sK10(X0)),nil(int))) = X0 | tb2t(nil(int)) = X0 | ~sorted1(X0))), 9.10/1.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f92,f117,f116])). 9.10/1.50 tff(f116,plain,( 9.10/1.50 ! [X0 : list_int] : (? [X1 : $int,X2 : $int,X3 : list_int] : (~$less(X2,X1) & sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X3)))) & tb2t(cons(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X3)))) = X0) => (~$less(sK8(X0),sK7(X0)) & sorted1(tb2t(cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) & tb2t(cons(int,t2tb1(sK7(X0)),cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) = X0))), 9.10/1.50 introduced(choice_axiom,[])). 9.10/1.50 tff(f117,plain,( 9.10/1.50 ! [X0 : list_int] : (? [X4 : $int] : tb2t(cons(int,t2tb1(X4),nil(int))) = X0 => tb2t(cons(int,t2tb1(sK10(X0)),nil(int))) = X0)), 9.10/1.50 introduced(choice_axiom,[])). 9.10/1.50 tff(f92,plain,( 9.10/1.50 ! [X0 : list_int] : (? [X1 : $int,X2 : $int,X3 : list_int] : (~$less(X2,X1) & sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X3)))) & tb2t(cons(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X3)))) = X0) | ? [X4 : $int] : tb2t(cons(int,t2tb1(X4),nil(int))) = X0 | tb2t(nil(int)) = X0 | ~sorted1(X0))), 9.10/1.50 inference(flattening,[],[f91])). 9.10/1.50 tff(f91,plain,( 9.10/1.50 ! [X0 : list_int] : ((? [X1 : $int,X2 : $int,X3 : list_int] : (~$less(X2,X1) & sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X3)))) & tb2t(cons(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X3)))) = X0) | ? [X4 : $int] : tb2t(cons(int,t2tb1(X4),nil(int))) = X0 | tb2t(nil(int)) = X0) | ~sorted1(X0))), 9.10/1.50 inference(ennf_transformation,[],[f62])). 9.10/1.50 tff(f62,plain,( 9.10/1.50 ! [X0 : list_int] : (sorted1(X0) => (? [X1 : $int,X2 : $int,X3 : list_int] : (~$less(X2,X1) & sorted1(tb2t(cons(int,t2tb1(X2),t2tb(X3)))) & tb2t(cons(int,t2tb1(X1),cons(int,t2tb1(X2),t2tb(X3)))) = X0) | ? [X4 : $int] : tb2t(cons(int,t2tb1(X4),nil(int))) = X0 | tb2t(nil(int)) = X0))), 9.10/1.50 inference(rectify,[],[f46])). 9.10/1.50 tff(f46,plain,( 9.10/1.50 ! [X2 : list_int] : (sorted1(X2) => (? [X0 : $int,X1 : $int,X9 : list_int] : (~$less(X1,X0) & sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X9)))) & tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X9)))) = X2) | ? [X0 : $int] : tb2t(cons(int,t2tb1(X0),nil(int))) = X2 | tb2t(nil(int)) = X2))), 9.10/1.50 inference(theory_normalization,[],[f19])). 9.10/1.50 tff(f19,axiom,( 9.10/1.50 ! [X2 : list_int] : (sorted1(X2) => (? [X0 : $int,X1 : $int,X9 : list_int] : ($lesseq(X0,X1) & sorted1(tb2t(cons(int,t2tb1(X1),t2tb(X9)))) & tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(X1),t2tb(X9)))) = X2) | ? [X0 : $int] : tb2t(cons(int,t2tb1(X0),nil(int))) = X2 | tb2t(nil(int)) = X2))), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_inversion)). 9.10/1.50 tff(f857,plain,( 9.10/1.50 sorted1(sK6) | ~spl16_67), 9.10/1.50 inference(avatar_component_clause,[],[f856])). 9.10/1.50 tff(f889,plain,( 9.10/1.50 spl16_69 | spl16_70 | spl16_72 | ~spl16_67), 9.10/1.50 inference(avatar_split_clause,[],[f866,f856,f887,f880,f877])). 9.10/1.50 tff(f887,plain,( 9.10/1.50 spl16_72 <=> sorted1(tb2t(cons(int,t2tb1(sK8(sK6)),t2tb(sK9(sK6)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_72])])). 9.10/1.50 tff(f866,plain,( 9.10/1.50 sorted1(tb2t(cons(int,t2tb1(sK8(sK6)),t2tb(sK9(sK6))))) | sK6 = tb2t(cons(int,t2tb1(sK10(sK6)),nil(int))) | tb2t(nil(int)) = sK6 | ~spl16_67), 9.10/1.50 inference(resolution,[],[f857,f231])). 9.10/1.50 tff(f231,plain,( 9.10/1.50 ( ! [X0:list_int] : (sorted1(tb2t(cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) | tb2t(cons(int,t2tb1(sK10(X0)),nil(int))) = X0 | tb2t(nil(int)) = X0 | ~sorted1(X0)) )), 9.10/1.50 inference(cnf_transformation,[],[f118])). 9.10/1.50 tff(f885,plain,( 9.10/1.50 spl16_69 | spl16_70 | spl16_71 | ~spl16_67), 9.10/1.50 inference(avatar_split_clause,[],[f865,f856,f883,f880,f877])). 9.10/1.50 tff(f883,plain,( 9.10/1.50 spl16_71 <=> sK6 = tb2t(cons(int,t2tb1(sK7(sK6)),cons(int,t2tb1(sK8(sK6)),t2tb(sK9(sK6)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_71])])). 9.10/1.50 tff(f865,plain,( 9.10/1.50 sK6 = tb2t(cons(int,t2tb1(sK7(sK6)),cons(int,t2tb1(sK8(sK6)),t2tb(sK9(sK6))))) | sK6 = tb2t(cons(int,t2tb1(sK10(sK6)),nil(int))) | tb2t(nil(int)) = sK6 | ~spl16_67), 9.10/1.50 inference(resolution,[],[f857,f230])). 9.10/1.50 tff(f230,plain,( 9.10/1.50 ( ! [X0:list_int] : (tb2t(cons(int,t2tb1(sK7(X0)),cons(int,t2tb1(sK8(X0)),t2tb(sK9(X0))))) = X0 | tb2t(cons(int,t2tb1(sK10(X0)),nil(int))) = X0 | tb2t(nil(int)) = X0 | ~sorted1(X0)) )), 9.10/1.50 inference(cnf_transformation,[],[f118])). 9.10/1.50 tff(f862,plain,( 9.10/1.50 spl16_68 | ~spl16_7), 9.10/1.50 inference(avatar_split_clause,[],[f842,f359,f860])). 9.10/1.50 tff(f858,plain,( 9.10/1.50 spl16_67 | ~spl16_11 | ~spl16_7), 9.10/1.50 inference(avatar_split_clause,[],[f841,f359,f433,f856])). 9.10/1.50 tff(f841,plain,( 9.10/1.50 ~sorted1(sK1) | sorted1(sK6) | ~spl16_7), 9.10/1.50 inference(superposition,[],[f255,f360])). 9.10/1.50 tff(f854,plain,( 9.10/1.50 spl16_66 | ~spl16_11 | ~spl16_7), 9.10/1.50 inference(avatar_split_clause,[],[f840,f359,f433,f852])). 9.10/1.50 tff(f840,plain,( 9.10/1.50 ( ! [X2:$int] : (~sorted1(sK1) | ~$less(X2,sK5) | ~mem(int,t2tb1(X2),t2tb(sK6))) ) | ~spl16_7), 9.10/1.50 inference(superposition,[],[f254,f360])). 9.10/1.50 tff(f850,plain,( 9.10/1.50 spl16_65 | ~spl16_11 | ~spl16_7), 9.10/1.50 inference(avatar_split_clause,[],[f837,f359,f433,f848])). 9.10/1.50 tff(f837,plain,( 9.10/1.50 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK5),t2tb(sK6))) | ~$less(X1,sK5)) ) | ~spl16_7), 9.10/1.50 inference(superposition,[],[f261,f360])). 9.10/1.50 tff(f846,plain,( 9.10/1.50 spl16_64 | ~spl16_11 | ~spl16_7), 9.10/1.50 inference(avatar_split_clause,[],[f836,f359,f433,f844])). 9.10/1.50 tff(f836,plain,( 9.10/1.50 ( ! [X0:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK5),t2tb(sK6))))) | $less(sK5,X0)) ) | ~spl16_7), 9.10/1.50 inference(superposition,[],[f263,f360])). 9.10/1.50 tff(f832,plain,( 9.10/1.50 ~spl16_4 | spl16_63 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f812,f602,f830,f347])). 9.10/1.50 tff(f830,plain,( 9.10/1.50 spl16_63 <=> ! [X2 : $int] : (~$less(sK13(X2,sK3),sK2) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_63])])). 9.10/1.50 tff(f812,plain,( 9.10/1.50 ( ! [X2:$int] : (~$less(sK13(X2,sK3),sK2) | sorted1(tb2t(cons(int,t2tb1(X2),t2tb(sK3)))) | ~sorted1(sK3)) ) | ~spl16_31), 9.10/1.50 inference(resolution,[],[f603,f252])). 9.10/1.50 tff(f828,plain,( 9.10/1.50 ~spl16_4 | spl16_62 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f811,f602,f826,f347])). 9.10/1.50 tff(f826,plain,( 9.10/1.50 spl16_62 <=> ! [X1 : list_int] : (~$less(sK12(X1,sK3),sK2) | ~sorted1(X1) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_62])])). 9.10/1.50 tff(f811,plain,( 9.10/1.50 ( ! [X1:list_int] : (~$less(sK12(X1,sK3),sK2) | sorted1(tb2t(infix_plpl(int,t2tb(X1),t2tb(sK3)))) | ~sorted1(X1) | ~sorted1(sK3)) ) | ~spl16_31), 9.10/1.50 inference(resolution,[],[f603,f247])). 9.10/1.50 tff(f824,plain,( 9.10/1.50 ~spl16_4 | spl16_61 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f810,f602,f822,f347])). 9.10/1.50 tff(f822,plain,( 9.10/1.50 spl16_61 <=> ! [X0 : list_int] : (~$less(sK11(sK3,X0),sK2) | ~sorted1(X0) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_61])])). 9.10/1.50 tff(f810,plain,( 9.10/1.50 ( ! [X0:list_int] : (~$less(sK11(sK3,X0),sK2) | sorted1(tb2t(infix_plpl(int,t2tb(sK3),t2tb(X0)))) | ~sorted1(sK3) | ~sorted1(X0)) ) | ~spl16_31), 9.10/1.50 inference(resolution,[],[f603,f246])). 9.10/1.50 tff(f820,plain,( 9.10/1.50 ~spl16_60 | ~spl16_9 | ~spl16_31), 9.10/1.50 inference(avatar_split_clause,[],[f809,f602,f387,f818])). 9.10/1.50 tff(f809,plain,( 9.10/1.50 ~$less(sK0,sK2) | (~spl16_9 | ~spl16_31)), 9.10/1.50 inference(resolution,[],[f603,f403])). 9.10/1.50 tff(f808,plain,( 9.10/1.50 ~spl16_54 | spl16_59 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f763,f598,f806,f785])). 9.10/1.50 tff(f763,plain,( 9.10/1.50 mem(int,t2tb1(sK2),t2tb(sK1)) | ~sort1(int,t2tb1(sK2)) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f280,f599])). 9.10/1.50 tff(f804,plain,( 9.10/1.50 ~spl16_54 | spl16_58 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f761,f598,f802,f785])). 9.10/1.50 tff(f761,plain,( 9.10/1.50 t2tb1(sK2) = cons_proj_11(int,t2tb(sK1)) | ~sort1(int,t2tb1(sK2)) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f266,f599])). 9.10/1.50 tff(f800,plain,( 9.10/1.50 spl16_57 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f760,f598,f798])). 9.10/1.50 tff(f760,plain,( 9.10/1.50 t2tb(sK3) = cons_proj_21(int,t2tb(sK1)) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f259,f599])). 9.10/1.50 tff(f796,plain,( 9.10/1.50 ~spl16_13 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f758,f598,f471])). 9.10/1.50 tff(f758,plain,( 9.10/1.50 nil(int) != t2tb(sK1) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f256,f599])). 9.10/1.50 tff(f256,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 9.10/1.50 inference(cnf_transformation,[],[f73])). 9.10/1.50 tff(f73,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 9.10/1.50 inference(rectify,[],[f32])). 9.10/1.50 tff(f32,axiom,( 9.10/1.50 ! [X3 : ty,X18 : uni,X19 : uni] : nil(X3) != cons(X3,X18,X19)), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1)). 9.10/1.50 tff(f794,plain,( 9.10/1.50 ~spl16_54 | spl16_56 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f757,f598,f792,f785])). 9.10/1.50 tff(f792,plain,( 9.10/1.50 spl16_56 <=> ! [X7 : uni] : (mem(int,X7,t2tb(sK1)) | ~sort1(int,X7) | ~mem(int,X7,t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_56])])). 9.10/1.50 tff(f757,plain,( 9.10/1.50 ( ! [X7:uni] : (mem(int,X7,t2tb(sK1)) | ~mem(int,X7,t2tb(sK3)) | ~sort1(int,t2tb1(sK2)) | ~sort1(int,X7)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f241,f599])). 9.10/1.50 tff(f790,plain,( 9.10/1.50 ~spl16_54 | spl16_55 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f756,f598,f788,f785])). 9.10/1.50 tff(f788,plain,( 9.10/1.50 spl16_55 <=> ! [X6 : uni] : (~mem(int,X6,t2tb(sK1)) | ~sort1(int,X6) | mem(int,X6,t2tb(sK3)) | t2tb1(sK2) = X6)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_55])])). 9.10/1.50 tff(f756,plain,( 9.10/1.50 ( ! [X6:uni] : (~mem(int,X6,t2tb(sK1)) | t2tb1(sK2) = X6 | mem(int,X6,t2tb(sK3)) | ~sort1(int,t2tb1(sK2)) | ~sort1(int,X6)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f240,f599])). 9.10/1.50 tff(f783,plain,( 9.10/1.50 spl16_53 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f754,f598,f781])). 9.10/1.50 tff(f781,plain,( 9.10/1.50 spl16_53 <=> $sum(1,length1(int,t2tb(sK3))) = length1(int,t2tb(sK1))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_53])])). 9.10/1.50 tff(f754,plain,( 9.10/1.50 $sum(1,length1(int,t2tb(sK3))) = length1(int,t2tb(sK1)) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f227,f599])). 9.10/1.50 tff(f779,plain,( 9.10/1.50 spl16_52 | ~spl16_11 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f778,f598,f433,f775])). 9.10/1.50 tff(f775,plain,( 9.10/1.50 spl16_52 <=> ! [X3 : $int] : (sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | $less(sK2,X3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_52])])). 9.10/1.50 tff(f778,plain,( 9.10/1.50 ( ! [X4:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK2,X4)) ) | ~spl16_30), 9.10/1.50 inference(forward_demodulation,[],[f753,f221])). 9.10/1.50 tff(f753,plain,( 9.10/1.50 ( ! [X4:$int] : (~sorted1(tb2t(t2tb(sK1))) | sorted1(tb2t(cons(int,t2tb1(X4),t2tb(sK1)))) | $less(sK2,X4)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f263,f599])). 9.10/1.50 tff(f777,plain,( 9.10/1.50 spl16_52 | ~spl16_11 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f773,f598,f433,f775])). 9.10/1.50 tff(f773,plain,( 9.10/1.50 ( ! [X3:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | $less(sK2,X3)) ) | ~spl16_30), 9.10/1.50 inference(forward_demodulation,[],[f752,f221])). 9.10/1.50 tff(f752,plain,( 9.10/1.50 ( ! [X3:$int] : (sorted1(tb2t(cons(int,t2tb1(X3),t2tb(sK1)))) | ~sorted1(tb2t(t2tb(sK1))) | $less(sK2,X3)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f263,f599])). 9.10/1.50 tff(f772,plain,( 9.10/1.50 spl16_51 | ~spl16_11 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f771,f598,f433,f768])). 9.10/1.50 tff(f768,plain,( 9.10/1.50 spl16_51 <=> ! [X1 : $int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK2))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_51])])). 9.10/1.50 tff(f771,plain,( 9.10/1.50 ( ! [X2:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK2)) ) | ~spl16_30), 9.10/1.50 inference(forward_demodulation,[],[f751,f221])). 9.10/1.50 tff(f751,plain,( 9.10/1.50 ( ! [X2:$int] : (~sorted1(tb2t(t2tb(sK1))) | ~mem(int,t2tb1(X2),t2tb(sK1)) | ~$less(X2,sK2)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f261,f599])). 9.10/1.50 tff(f770,plain,( 9.10/1.50 spl16_51 | ~spl16_11 | ~spl16_30), 9.10/1.50 inference(avatar_split_clause,[],[f766,f598,f433,f768])). 9.10/1.50 tff(f766,plain,( 9.10/1.50 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),t2tb(sK1)) | ~$less(X1,sK2)) ) | ~spl16_30), 9.10/1.50 inference(forward_demodulation,[],[f750,f221])). 9.10/1.50 tff(f750,plain,( 9.10/1.50 ( ! [X1:$int] : (~mem(int,t2tb1(X1),t2tb(sK1)) | ~sorted1(tb2t(t2tb(sK1))) | ~$less(X1,sK2)) ) | ~spl16_30), 9.10/1.50 inference(superposition,[],[f261,f599])). 9.10/1.50 tff(f744,plain,( 9.10/1.50 ~spl16_23 | spl16_50 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f735,f353,f742,f546])). 9.10/1.50 tff(f742,plain,( 9.10/1.50 spl16_50 <=> ! [X9 : uni,X8 : uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,X9,t2tb(sK1)))) | ~sort1(int,X8))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_50])])). 9.10/1.50 tff(f735,plain,( 9.10/1.50 ( ! [X8:uni,X9:uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,X9,t2tb(sK1)))) | ~sort1(int,X8) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f503,f241])). 9.10/1.50 tff(f503,plain,( 9.10/1.50 ( ! [X6:uni] : (mem(int,t2tb1(sK0),infix_plpl(int,X6,t2tb(sK1)))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f274])). 9.10/1.50 tff(f728,plain,( 9.10/1.50 ~spl16_23 | spl16_49 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f721,f353,f726,f546])). 9.10/1.50 tff(f726,plain,( 9.10/1.50 spl16_49 <=> ! [X9 : uni,X8 : uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,t2tb(sK1),X9))) | ~sort1(int,X8))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_49])])). 9.10/1.50 tff(f721,plain,( 9.10/1.50 ( ! [X8:uni,X9:uni] : (mem(int,t2tb1(sK0),cons(int,X8,infix_plpl(int,t2tb(sK1),X9))) | ~sort1(int,X8) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f502,f241])). 9.10/1.50 tff(f714,plain,( 9.10/1.50 ~spl16_23 | spl16_48 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f698,f387,f712,f546])). 9.10/1.50 tff(f698,plain,( 9.10/1.50 ( ! [X7:uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK3))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f241])). 9.10/1.50 tff(f710,plain,( 9.10/1.50 spl16_47 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f697,f387,f708])). 9.10/1.50 tff(f697,plain,( 9.10/1.50 sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK3))) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f269])). 9.10/1.50 tff(f269,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (sort1(list(X0),sK14(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 9.10/1.50 inference(cnf_transformation,[],[f133])). 9.10/1.50 tff(f133,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni,X2 : uni] : ((sort1(list(X0),sK14(X0,X1,X2)) & sort1(list(X0),sK15(X0,X1,X2)) & infix_plpl(X0,sK14(X0,X1,X2),cons(X0,X1,sK15(X0,X1,X2))) = X2) | ~mem(X0,X1,X2))), 9.10/1.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f106,f132])). 9.10/1.50 tff(f132,plain,( 9.10/1.50 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort1(list(X0),X3) & sort1(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) => (sort1(list(X0),sK14(X0,X1,X2)) & sort1(list(X0),sK15(X0,X1,X2)) & infix_plpl(X0,sK14(X0,X1,X2),cons(X0,X1,sK15(X0,X1,X2))) = X2))), 9.10/1.50 introduced(choice_axiom,[])). 9.10/1.50 tff(f106,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni,X4 : uni] : (sort1(list(X0),X3) & sort1(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) | ~mem(X0,X1,X2))), 9.10/1.50 inference(ennf_transformation,[],[f83])). 9.10/1.50 tff(f83,plain,( 9.10/1.50 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => ? [X3 : uni,X4 : uni] : (sort1(list(X0),X3) & sort1(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2))), 9.10/1.50 inference(rectify,[],[f42])). 9.10/1.50 tff(f42,axiom,( 9.10/1.50 ! [X3 : ty,X0 : uni,X9 : uni] : (mem(X3,X0,X9) => ? [X7 : uni,X8 : uni] : (sort1(list(X3),X7) & sort1(list(X3),X8) & infix_plpl(X3,X7,cons(X3,X0,X8)) = X9))), 9.10/1.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_decomp)). 9.10/1.50 tff(f706,plain,( 9.10/1.50 spl16_46 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f696,f387,f704])). 9.10/1.50 tff(f696,plain,( 9.10/1.50 sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK3))) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f268])). 9.10/1.50 tff(f268,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (sort1(list(X0),sK15(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 9.10/1.50 inference(cnf_transformation,[],[f133])). 9.10/1.50 tff(f702,plain,( 9.10/1.50 spl16_45 | ~spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f695,f387,f700])). 9.10/1.50 tff(f700,plain,( 9.10/1.50 spl16_45 <=> t2tb(sK3) = infix_plpl(int,sK14(int,t2tb1(sK0),t2tb(sK3)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),t2tb(sK3))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_45])])). 9.10/1.50 tff(f695,plain,( 9.10/1.50 t2tb(sK3) = infix_plpl(int,sK14(int,t2tb1(sK0),t2tb(sK3)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),t2tb(sK3)))) | ~spl16_9), 9.10/1.50 inference(resolution,[],[f403,f267])). 9.10/1.50 tff(f267,plain,( 9.10/1.50 ( ! [X2:uni,X0:ty,X1:uni] : (infix_plpl(X0,sK14(X0,X1,X2),cons(X0,X1,sK15(X0,X1,X2))) = X2 | ~mem(X0,X1,X2)) )), 9.10/1.50 inference(cnf_transformation,[],[f133])). 9.10/1.50 tff(f689,plain,( 9.10/1.50 spl16_44 | ~spl16_37), 9.10/1.50 inference(avatar_split_clause,[],[f685,f646,f687])). 9.10/1.50 tff(f687,plain,( 9.10/1.50 spl16_44 <=> nil(int) = t2tb(sK3)), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_44])])). 9.10/1.50 tff(f646,plain,( 9.10/1.50 spl16_37 <=> tb2t(nil(int)) = sK3), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_37])])). 9.10/1.50 tff(f685,plain,( 9.10/1.50 nil(int) = t2tb(sK3) | ~spl16_37), 9.10/1.50 inference(superposition,[],[f222,f647])). 9.10/1.50 tff(f647,plain,( 9.10/1.50 tb2t(nil(int)) = sK3 | ~spl16_37), 9.10/1.50 inference(avatar_component_clause,[],[f646])). 9.10/1.50 tff(f675,plain,( 9.10/1.50 ~spl16_23 | spl16_43 | spl16_21), 9.10/1.50 inference(avatar_split_clause,[],[f554,f534,f673,f546])). 9.10/1.50 tff(f554,plain,( 9.10/1.50 ( ! [X2:uni] : (t2tb1(sK0) = X2 | ~mem(int,t2tb1(sK0),cons(int,X2,nil(int))) | ~sort1(int,X2) | ~sort1(int,t2tb1(sK0))) ) | spl16_21), 9.10/1.50 inference(resolution,[],[f535,f240])). 9.10/1.50 tff(f671,plain,( 9.10/1.50 ~spl16_23 | spl16_42 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f507,f353,f668,f546])). 9.10/1.50 tff(f507,plain,( 9.10/1.50 ( ! [X7:uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK1))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f241])). 9.10/1.50 tff(f670,plain,( 9.10/1.50 ~spl16_23 | spl16_42 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f633,f353,f668,f546])). 9.10/1.50 tff(f633,plain,( 9.10/1.50 ( ! [X7:uni] : (mem(int,t2tb1(sK0),cons(int,X7,t2tb(sK1))) | ~sort1(int,X7) | ~sort1(int,t2tb1(sK0))) ) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f241])). 9.10/1.50 tff(f666,plain,( 9.10/1.50 spl16_23), 9.10/1.50 inference(avatar_contradiction_clause,[],[f665])). 9.10/1.50 tff(f665,plain,( 9.10/1.50 $false | spl16_23), 9.10/1.50 inference(resolution,[],[f547,f219])). 9.10/1.50 tff(f547,plain,( 9.10/1.50 ~sort1(int,t2tb1(sK0)) | spl16_23), 9.10/1.50 inference(avatar_component_clause,[],[f546])). 9.10/1.50 tff(f662,plain,( 9.10/1.50 spl16_37 | spl16_38 | ~spl16_41 | ~spl16_4), 9.10/1.50 inference(avatar_split_clause,[],[f636,f347,f660,f649,f646])). 9.10/1.50 tff(f649,plain,( 9.10/1.50 spl16_38 <=> sK3 = tb2t(cons(int,t2tb1(sK10(sK3)),nil(int)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_38])])). 9.10/1.50 tff(f660,plain,( 9.10/1.50 spl16_41 <=> $less(sK8(sK3),sK7(sK3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_41])])). 9.10/1.50 tff(f636,plain,( 9.10/1.50 ~$less(sK8(sK3),sK7(sK3)) | sK3 = tb2t(cons(int,t2tb1(sK10(sK3)),nil(int))) | tb2t(nil(int)) = sK3 | ~spl16_4), 9.10/1.50 inference(resolution,[],[f589,f232])). 9.10/1.50 tff(f589,plain,( 9.10/1.50 sorted1(sK3) | ~spl16_4), 9.10/1.50 inference(avatar_component_clause,[],[f347])). 9.10/1.50 tff(f658,plain,( 9.10/1.50 spl16_37 | spl16_38 | spl16_40 | ~spl16_4), 9.10/1.50 inference(avatar_split_clause,[],[f635,f347,f656,f649,f646])). 9.10/1.50 tff(f656,plain,( 9.10/1.50 spl16_40 <=> sorted1(tb2t(cons(int,t2tb1(sK8(sK3)),t2tb(sK9(sK3)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_40])])). 9.10/1.50 tff(f635,plain,( 9.10/1.50 sorted1(tb2t(cons(int,t2tb1(sK8(sK3)),t2tb(sK9(sK3))))) | sK3 = tb2t(cons(int,t2tb1(sK10(sK3)),nil(int))) | tb2t(nil(int)) = sK3 | ~spl16_4), 9.10/1.50 inference(resolution,[],[f589,f231])). 9.10/1.50 tff(f654,plain,( 9.10/1.50 spl16_37 | spl16_38 | spl16_39 | ~spl16_4), 9.10/1.50 inference(avatar_split_clause,[],[f634,f347,f652,f649,f646])). 9.10/1.50 tff(f652,plain,( 9.10/1.50 spl16_39 <=> sK3 = tb2t(cons(int,t2tb1(sK7(sK3)),cons(int,t2tb1(sK8(sK3)),t2tb(sK9(sK3)))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_39])])). 9.10/1.50 tff(f634,plain,( 9.10/1.50 sK3 = tb2t(cons(int,t2tb1(sK7(sK3)),cons(int,t2tb1(sK8(sK3)),t2tb(sK9(sK3))))) | sK3 = tb2t(cons(int,t2tb1(sK10(sK3)),nil(int))) | tb2t(nil(int)) = sK3 | ~spl16_4), 9.10/1.50 inference(resolution,[],[f589,f230])). 9.10/1.50 tff(f624,plain,( 9.10/1.50 spl16_36 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f504,f353,f622])). 9.10/1.50 tff(f622,plain,( 9.10/1.50 spl16_36 <=> t2tb(sK1) = infix_plpl(int,sK14(int,t2tb1(sK0),t2tb(sK1)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),t2tb(sK1))))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_36])])). 9.10/1.50 tff(f504,plain,( 9.10/1.50 t2tb(sK1) = infix_plpl(int,sK14(int,t2tb1(sK0),t2tb(sK1)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),t2tb(sK1)))) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f267])). 9.10/1.50 tff(f620,plain,( 9.10/1.50 spl16_35 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f505,f353,f618])). 9.10/1.50 tff(f505,plain,( 9.10/1.50 sort1(list(int),sK15(int,t2tb1(sK0),t2tb(sK1))) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f268])). 9.10/1.50 tff(f616,plain,( 9.10/1.50 spl16_34 | ~spl16_6), 9.10/1.50 inference(avatar_split_clause,[],[f506,f353,f614])). 9.10/1.50 tff(f506,plain,( 9.10/1.50 sort1(list(int),sK14(int,t2tb1(sK0),t2tb(sK1))) | ~spl16_6), 9.10/1.50 inference(resolution,[],[f368,f269])). 9.10/1.50 tff(f612,plain,( 9.10/1.50 spl16_33 | ~spl16_11 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f560,f428,f433,f610])). 9.10/1.50 tff(f610,plain,( 9.10/1.50 spl16_33 <=> ! [X0 : $int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK2),t2tb(sK3))))) | $less(sK2,X0))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_33])])). 9.10/1.50 tff(f428,plain,( 9.10/1.50 spl16_10 <=> sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3)))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_10])])). 9.10/1.50 tff(f560,plain,( 9.10/1.50 ( ! [X0:$int] : (~sorted1(sK1) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK2),t2tb(sK3))))) | $less(sK2,X0)) ) | ~spl16_10), 9.10/1.50 inference(superposition,[],[f263,f429])). 9.10/1.50 tff(f429,plain,( 9.10/1.50 sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3))) | ~spl16_10), 9.10/1.50 inference(avatar_component_clause,[],[f428])). 9.10/1.50 tff(f608,plain,( 9.10/1.50 spl16_32 | ~spl16_11 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f561,f428,f433,f606])). 9.10/1.50 tff(f561,plain,( 9.10/1.50 ( ! [X1:$int] : (~sorted1(sK1) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK2),t2tb(sK3))) | ~$less(X1,sK2)) ) | ~spl16_10), 9.10/1.50 inference(superposition,[],[f261,f429])). 9.10/1.50 tff(f604,plain,( 9.10/1.50 spl16_31 | ~spl16_11 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f564,f428,f433,f602])). 9.10/1.50 tff(f564,plain,( 9.10/1.50 ( ! [X2:$int] : (~sorted1(sK1) | ~$less(X2,sK2) | ~mem(int,t2tb1(X2),t2tb(sK3))) ) | ~spl16_10), 9.10/1.50 inference(superposition,[],[f254,f429])). 9.10/1.50 tff(f600,plain,( 9.10/1.50 spl16_30 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f566,f428,f598])). 9.10/1.50 tff(f566,plain,( 9.10/1.50 t2tb(sK1) = cons(int,t2tb1(sK2),t2tb(sK3)) | ~spl16_10), 9.10/1.50 inference(superposition,[],[f222,f429])). 9.10/1.50 tff(f596,plain,( 9.10/1.50 spl16_29 | ~spl16_8 | ~spl16_10 | ~spl16_13), 9.10/1.50 inference(avatar_split_clause,[],[f592,f471,f428,f365,f594])). 9.10/1.50 tff(f594,plain,( 9.10/1.50 spl16_29 <=> nil(int) = cons(int,t2tb1(sK0),t2tb(sK3))), 9.10/1.50 introduced(avatar_definition,[new_symbols(naming,[spl16_29])])). 9.10/1.50 tff(f592,plain,( 9.10/1.50 nil(int) = cons(int,t2tb1(sK0),t2tb(sK3)) | (~spl16_8 | ~spl16_10 | ~spl16_13)), 9.10/1.50 inference(forward_demodulation,[],[f591,f472])). 9.10/1.50 tff(f591,plain,( 9.10/1.50 t2tb(sK1) = cons(int,t2tb1(sK0),t2tb(sK3)) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f566,f366])). 9.10/1.50 tff(f366,plain,( 9.10/1.50 sK0 = sK2 | ~spl16_8), 9.10/1.50 inference(avatar_component_clause,[],[f365])). 9.10/1.50 tff(f590,plain,( 9.10/1.50 spl16_4 | ~spl16_11 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f565,f428,f433,f347])). 9.10/1.50 tff(f565,plain,( 9.10/1.50 ~sorted1(sK1) | sorted1(sK3) | ~spl16_10), 9.10/1.50 inference(superposition,[],[f255,f429])). 9.10/1.50 tff(f588,plain,( 9.10/1.50 ~spl16_11 | spl16_28 | ~spl16_8 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f584,f428,f365,f586,f433])). 9.10/1.50 tff(f584,plain,( 9.10/1.50 ( ! [X2:$int] : (~$less(X2,sK0) | ~sorted1(sK1) | ~mem(int,t2tb1(X2),t2tb(sK3))) ) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f564,f366])). 9.10/1.50 tff(f583,plain,( 9.10/1.50 ~spl16_11 | spl16_27 | ~spl16_8 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f579,f428,f365,f581,f433])). 9.10/1.50 tff(f579,plain,( 9.10/1.50 ( ! [X1:$int] : (~$less(X1,sK0) | ~mem(int,t2tb1(X1),cons(int,t2tb1(sK0),t2tb(sK3))) | ~sorted1(sK1)) ) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f578,f366])). 9.10/1.50 tff(f578,plain,( 9.10/1.50 ( ! [X1:$int] : (~mem(int,t2tb1(X1),cons(int,t2tb1(sK0),t2tb(sK3))) | ~sorted1(sK1) | ~$less(X1,sK2)) ) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f561,f366])). 9.10/1.50 tff(f577,plain,( 9.10/1.50 ~spl16_11 | spl16_26 | ~spl16_8 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f572,f428,f365,f575,f433])). 9.10/1.50 tff(f572,plain,( 9.10/1.50 ( ! [X0:$int] : ($less(sK0,X0) | sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK0),t2tb(sK3))))) | ~sorted1(sK1)) ) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f571,f366])). 9.10/1.50 tff(f571,plain,( 9.10/1.50 ( ! [X0:$int] : (sorted1(tb2t(cons(int,t2tb1(X0),cons(int,t2tb1(sK0),t2tb(sK3))))) | ~sorted1(sK1) | $less(sK2,X0)) ) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(forward_demodulation,[],[f560,f366])). 9.10/1.50 tff(f570,plain,( 9.10/1.50 spl16_25 | ~spl16_8 | ~spl16_10), 9.10/1.50 inference(avatar_split_clause,[],[f559,f428,f365,f568])). 9.10/1.50 tff(f559,plain,( 9.10/1.50 sK1 = tb2t(cons(int,t2tb1(sK0),t2tb(sK3))) | (~spl16_8 | ~spl16_10)), 9.10/1.50 inference(superposition,[],[f429,f366])). 9.10/1.50 tff(f551,plain,( 9.10/1.50 ~spl16_23 | spl16_24 | spl16_9), 9.10/1.50 inference(avatar_split_clause,[],[f544,f387,f549,f546])). 9.10/1.50 tff(f544,plain,( 9.10/1.50 ( ! [X2:uni] : (t2tb1(sK0) = X2 | ~mem(int,t2tb1(sK0),cons(int,X2,t2tb(sK3))) | ~sort1(int,X2) | ~sort1(int,t2tb1(sK0))) ) | spl16_9), 9.10/1.50 inference(resolution,[],[f388,f240])). 9.10/1.50 tff(f541,plain,( 9.10/1.50 ~spl16_22 | spl16_1 | ~spl16_8), 9.10/1.50 inference(avatar_split_clause,[],[f537,f365,f338,f539])). 9.10/1.51 tff(f539,plain,( 9.10/1.51 spl16_22 <=> $less(sK0,sK0)), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_22])])). 9.10/1.51 tff(f537,plain,( 9.10/1.51 ~$less(sK0,sK0) | (spl16_1 | ~spl16_8)), 9.10/1.51 inference(superposition,[],[f339,f366])). 9.10/1.51 tff(f536,plain,( 9.10/1.51 ~spl16_21 | spl16_6 | ~spl16_13), 9.10/1.51 inference(avatar_split_clause,[],[f532,f471,f353,f534])). 9.10/1.51 tff(f532,plain,( 9.10/1.51 ~mem(int,t2tb1(sK0),nil(int)) | (spl16_6 | ~spl16_13)), 9.10/1.51 inference(forward_demodulation,[],[f354,f472])). 9.10/1.51 tff(f531,plain,( 9.10/1.51 spl16_20 | ~spl16_6 | ~spl16_13), 9.10/1.51 inference(avatar_split_clause,[],[f527,f471,f353,f529])). 9.10/1.51 tff(f529,plain,( 9.10/1.51 spl16_20 <=> sort1(list(int),sK14(int,t2tb1(sK0),nil(int)))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_20])])). 9.10/1.51 tff(f527,plain,( 9.10/1.51 sort1(list(int),sK14(int,t2tb1(sK0),nil(int))) | (~spl16_6 | ~spl16_13)), 9.10/1.51 inference(forward_demodulation,[],[f506,f472])). 9.10/1.51 tff(f526,plain,( 9.10/1.51 spl16_19 | ~spl16_6 | ~spl16_13), 9.10/1.51 inference(avatar_split_clause,[],[f522,f471,f353,f524])). 9.10/1.51 tff(f524,plain,( 9.10/1.51 spl16_19 <=> sort1(list(int),sK15(int,t2tb1(sK0),nil(int)))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_19])])). 9.10/1.51 tff(f522,plain,( 9.10/1.51 sort1(list(int),sK15(int,t2tb1(sK0),nil(int))) | (~spl16_6 | ~spl16_13)), 9.10/1.51 inference(forward_demodulation,[],[f505,f472])). 9.10/1.51 tff(f521,plain,( 9.10/1.51 spl16_18 | ~spl16_6 | ~spl16_13), 9.10/1.51 inference(avatar_split_clause,[],[f517,f471,f353,f519])). 9.10/1.51 tff(f519,plain,( 9.10/1.51 spl16_18 <=> nil(int) = infix_plpl(int,sK14(int,t2tb1(sK0),nil(int)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),nil(int))))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_18])])). 9.10/1.51 tff(f517,plain,( 9.10/1.51 nil(int) = infix_plpl(int,sK14(int,t2tb1(sK0),nil(int)),cons(int,t2tb1(sK0),sK15(int,t2tb1(sK0),nil(int)))) | (~spl16_6 | ~spl16_13)), 9.10/1.51 inference(forward_demodulation,[],[f504,f472])). 9.10/1.51 tff(f488,plain,( 9.10/1.51 spl16_2 | spl16_14 | spl16_17 | ~spl16_11), 9.10/1.51 inference(avatar_split_clause,[],[f439,f433,f486,f475,f341])). 9.10/1.51 tff(f341,plain,( 9.10/1.51 spl16_2 <=> tb2t(nil(int)) = sK1), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_2])])). 9.10/1.51 tff(f486,plain,( 9.10/1.51 spl16_17 <=> sK1 = tb2t(cons(int,t2tb1(sK7(sK1)),cons(int,t2tb1(sK8(sK1)),t2tb(sK9(sK1)))))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_17])])). 9.10/1.51 tff(f439,plain,( 9.10/1.51 sK1 = tb2t(cons(int,t2tb1(sK7(sK1)),cons(int,t2tb1(sK8(sK1)),t2tb(sK9(sK1))))) | sK1 = tb2t(cons(int,t2tb1(sK10(sK1)),nil(int))) | tb2t(nil(int)) = sK1 | ~spl16_11), 9.10/1.51 inference(resolution,[],[f434,f230])). 9.10/1.51 tff(f484,plain,( 9.10/1.51 spl16_2 | spl16_14 | spl16_16 | ~spl16_11), 9.10/1.51 inference(avatar_split_clause,[],[f440,f433,f482,f475,f341])). 9.10/1.51 tff(f482,plain,( 9.10/1.51 spl16_16 <=> sorted1(tb2t(cons(int,t2tb1(sK8(sK1)),t2tb(sK9(sK1)))))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_16])])). 9.10/1.51 tff(f440,plain,( 9.10/1.51 sorted1(tb2t(cons(int,t2tb1(sK8(sK1)),t2tb(sK9(sK1))))) | sK1 = tb2t(cons(int,t2tb1(sK10(sK1)),nil(int))) | tb2t(nil(int)) = sK1 | ~spl16_11), 9.10/1.51 inference(resolution,[],[f434,f231])). 9.10/1.51 tff(f480,plain,( 9.10/1.51 spl16_2 | spl16_14 | ~spl16_15 | ~spl16_11), 9.10/1.51 inference(avatar_split_clause,[],[f441,f433,f478,f475,f341])). 9.10/1.51 tff(f478,plain,( 9.10/1.51 spl16_15 <=> $less(sK8(sK1),sK7(sK1))), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_15])])). 9.10/1.51 tff(f441,plain,( 9.10/1.51 ~$less(sK8(sK1),sK7(sK1)) | sK1 = tb2t(cons(int,t2tb1(sK10(sK1)),nil(int))) | tb2t(nil(int)) = sK1 | ~spl16_11), 9.10/1.51 inference(resolution,[],[f434,f232])). 9.10/1.51 tff(f473,plain,( 9.10/1.51 spl16_13 | ~spl16_2), 9.10/1.51 inference(avatar_split_clause,[],[f469,f341,f471])). 9.10/1.51 tff(f469,plain,( 9.10/1.51 nil(int) = t2tb(sK1) | ~spl16_2), 9.10/1.51 inference(superposition,[],[f222,f342])). 9.10/1.51 tff(f342,plain,( 9.10/1.51 tb2t(nil(int)) = sK1 | ~spl16_2), 9.10/1.51 inference(avatar_component_clause,[],[f341])). 9.10/1.51 tff(f458,plain,( 9.10/1.51 spl16_12 | spl16_5), 9.10/1.51 inference(avatar_split_clause,[],[f454,f350,f456])). 9.10/1.51 tff(f456,plain,( 9.10/1.51 spl16_12 <=> false1 = sK4), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_12])])). 9.10/1.51 tff(f350,plain,( 9.10/1.51 spl16_5 <=> true1 = sK4), 9.10/1.51 introduced(avatar_definition,[new_symbols(naming,[spl16_5])])). 9.10/1.51 tff(f454,plain,( 9.10/1.51 false1 = sK4 | spl16_5), 9.10/1.51 inference(trivial_inequality_removal,[],[f453])). 9.10/1.51 tff(f453,plain,( 9.10/1.51 true1 != true1 | false1 = sK4 | spl16_5), 9.10/1.51 inference(superposition,[],[f351,f229])). 9.10/1.51 tff(f229,plain,( 9.10/1.51 ( ! [X0:bool1] : (false1 = X0 | true1 = X0) )), 9.10/1.51 inference(cnf_transformation,[],[f61])). 9.10/1.51 tff(f61,plain,( 9.10/1.51 ! [X0 : bool1] : (false1 = X0 | true1 = X0)), 9.10/1.51 inference(rectify,[],[f14])). 9.10/1.51 tff(f14,axiom,( 9.10/1.51 ! [X4 : bool1] : (false1 = X4 | true1 = X4)), 9.10/1.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bool_inversion)). 9.10/1.51 tff(f351,plain,( 9.10/1.51 true1 != sK4 | spl16_5), 9.10/1.51 inference(avatar_component_clause,[],[f350])). 9.10/1.51 tff(f435,plain,( 9.10/1.51 spl16_11), 9.10/1.51 inference(avatar_split_clause,[],[f136,f433])). 9.10/1.51 tff(f136,plain,( 9.10/1.51 sorted1(sK1)), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f115,plain,( 9.10/1.51 (((((((((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4) & (true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3))) & (mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4)) | ~sorted1(sK3) | (sK3 != sK6 & sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6)))) | tb2t(nil(int)) = sK1) & $less(sK2,sK0)) | (mem(int,t2tb1(sK0),t2tb(sK1)) & ~$less(sK2,sK0))) & sK0 != sK2) | (~mem(int,t2tb1(sK0),t2tb(sK1)) & sK0 = sK2)) & sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3)))) | (mem(int,t2tb1(sK0),t2tb(sK1)) & tb2t(nil(int)) = sK1)) & sorted1(sK1)), 9.10/1.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f110,f114,f113,f112,f111])). 9.10/1.51 tff(f111,plain,( 9.10/1.51 ? [X0 : $int,X1 : list_int] : ((? [X2 : $int,X3 : list_int] : ((((((? [X4 : bool1] : ((~mem(int,t2tb1(X0),t2tb(X1)) | true1 != X4) & (mem(int,t2tb1(X0),t2tb(X1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(X0),t2tb(X3))) & (mem(int,t2tb1(X0),t2tb(X3)) | true1 != X4)) | ~sorted1(X3) | ? [X5 : $int,X6 : list_int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X1) | tb2t(nil(int)) = X1) & $less(X2,X0)) | (mem(int,t2tb1(X0),t2tb(X1)) & ~$less(X2,X0))) & X0 != X2) | (~mem(int,t2tb1(X0),t2tb(X1)) & X0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X1) | (mem(int,t2tb1(X0),t2tb(X1)) & tb2t(nil(int)) = X1)) & sorted1(X1)) => ((? [X3 : list_int,X2 : $int] : ((((((? [X4 : bool1] : ((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != X4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(sK0),t2tb(X3))) & (mem(int,t2tb1(sK0),t2tb(X3)) | true1 != X4)) | ~sorted1(X3) | ? [X6 : list_int,X5 : $int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = sK1) | tb2t(nil(int)) = sK1) & $less(X2,sK0)) | (mem(int,t2tb1(sK0),t2tb(sK1)) & ~$less(X2,sK0))) & sK0 != X2) | (~mem(int,t2tb1(sK0),t2tb(sK1)) & sK0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = sK1) | (mem(int,t2tb1(sK0),t2tb(sK1)) & tb2t(nil(int)) = sK1)) & sorted1(sK1))), 9.10/1.51 introduced(choice_axiom,[])). 9.10/1.51 tff(f112,plain,( 9.10/1.51 ? [X3 : list_int,X2 : $int] : ((((((? [X4 : bool1] : ((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != X4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(sK0),t2tb(X3))) & (mem(int,t2tb1(sK0),t2tb(X3)) | true1 != X4)) | ~sorted1(X3) | ? [X6 : list_int,X5 : $int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = sK1) | tb2t(nil(int)) = sK1) & $less(X2,sK0)) | (mem(int,t2tb1(sK0),t2tb(sK1)) & ~$less(X2,sK0))) & sK0 != X2) | (~mem(int,t2tb1(sK0),t2tb(sK1)) & sK0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = sK1) => ((((((? [X4 : bool1] : ((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != X4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(sK0),t2tb(sK3))) & (mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != X4)) | ~sorted1(sK3) | ? [X6 : list_int,X5 : $int] : (sK3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = sK1) | tb2t(nil(int)) = sK1) & $less(sK2,sK0)) | (mem(int,t2tb1(sK0),t2tb(sK1)) & ~$less(sK2,sK0))) & sK0 != sK2) | (~mem(int,t2tb1(sK0),t2tb(sK1)) & sK0 = sK2)) & sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3))))), 9.10/1.51 introduced(choice_axiom,[])). 9.10/1.51 tff(f113,plain,( 9.10/1.51 ? [X4 : bool1] : ((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != X4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(sK0),t2tb(sK3))) & (mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != X4)) => ((~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4) & (mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4) & (true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3))) & (mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4))), 9.10/1.51 introduced(choice_axiom,[])). 9.10/1.51 tff(f114,plain,( 9.10/1.51 ? [X6 : list_int,X5 : $int] : (sK3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = sK1) => (sK3 != sK6 & sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))))), 9.10/1.51 introduced(choice_axiom,[])). 9.10/1.51 tff(f110,plain,( 9.10/1.51 ? [X0 : $int,X1 : list_int] : ((? [X2 : $int,X3 : list_int] : ((((((? [X4 : bool1] : ((~mem(int,t2tb1(X0),t2tb(X1)) | true1 != X4) & (mem(int,t2tb1(X0),t2tb(X1)) | true1 = X4) & (true1 = X4 | ~mem(int,t2tb1(X0),t2tb(X3))) & (mem(int,t2tb1(X0),t2tb(X3)) | true1 != X4)) | ~sorted1(X3) | ? [X5 : $int,X6 : list_int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X1) | tb2t(nil(int)) = X1) & $less(X2,X0)) | (mem(int,t2tb1(X0),t2tb(X1)) & ~$less(X2,X0))) & X0 != X2) | (~mem(int,t2tb1(X0),t2tb(X1)) & X0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X1) | (mem(int,t2tb1(X0),t2tb(X1)) & tb2t(nil(int)) = X1)) & sorted1(X1))), 9.10/1.51 inference(flattening,[],[f109])). 9.10/1.51 tff(f109,plain,( 9.10/1.51 ? [X0 : $int,X1 : list_int] : ((? [X2 : $int,X3 : list_int] : ((((((? [X4 : bool1] : (((~mem(int,t2tb1(X0),t2tb(X1)) | true1 != X4) & (mem(int,t2tb1(X0),t2tb(X1)) | true1 = X4)) & ((true1 = X4 | ~mem(int,t2tb1(X0),t2tb(X3))) & (mem(int,t2tb1(X0),t2tb(X3)) | true1 != X4))) | ~sorted1(X3) | ? [X5 : $int,X6 : list_int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X1) | tb2t(nil(int)) = X1) & $less(X2,X0)) | (mem(int,t2tb1(X0),t2tb(X1)) & ~$less(X2,X0))) & X0 != X2) | (~mem(int,t2tb1(X0),t2tb(X1)) & X0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X1) | (mem(int,t2tb1(X0),t2tb(X1)) & tb2t(nil(int)) = X1)) & sorted1(X1))), 9.10/1.51 inference(nnf_transformation,[],[f90])). 9.10/1.51 tff(f90,plain,( 9.10/1.51 ? [X0 : $int,X1 : list_int] : ((? [X2 : $int,X3 : list_int] : ((((((? [X4 : bool1] : ((true1 = X4 <~> mem(int,t2tb1(X0),t2tb(X1))) & (true1 = X4 <=> mem(int,t2tb1(X0),t2tb(X3)))) | ~sorted1(X3) | ? [X5 : $int,X6 : list_int] : (X3 != X6 & tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X1) | tb2t(nil(int)) = X1) & $less(X2,X0)) | (mem(int,t2tb1(X0),t2tb(X1)) & ~$less(X2,X0))) & X0 != X2) | (~mem(int,t2tb1(X0),t2tb(X1)) & X0 = X2)) & tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X1) | (mem(int,t2tb1(X0),t2tb(X1)) & tb2t(nil(int)) = X1)) & sorted1(X1))), 9.10/1.51 inference(ennf_transformation,[],[f52])). 9.10/1.51 tff(f52,plain,( 9.10/1.51 ~! [X0 : $int,X1 : list_int] : (sorted1(X1) => (! [X2 : $int,X3 : list_int] : (tb2t(cons(int,t2tb1(X2),t2tb(X3))) = X1 => ((X0 != X2 => (($less(X2,X0) => (! [X4 : bool1] : ((true1 = X4 <=> mem(int,t2tb1(X0),t2tb(X3))) => (true1 = X4 <=> mem(int,t2tb1(X0),t2tb(X1)))) & sorted1(X3) & ! [X5 : $int,X6 : list_int] : (tb2t(cons(int,t2tb1(X5),t2tb(X6))) = X1 => X3 = X6) & tb2t(nil(int)) != X1)) & (~$less(X2,X0) => ~mem(int,t2tb1(X0),t2tb(X1))))) & (X0 = X2 => mem(int,t2tb1(X0),t2tb(X1))))) & (tb2t(nil(int)) = X1 => ~mem(int,t2tb1(X0),t2tb(X1)))))), 9.10/1.51 inference(rectify,[],[f16])). 9.10/1.51 tff(f16,negated_conjecture,( 9.10/1.51 ~! [X0 : $int,X9 : list_int] : (sorted1(X9) => (! [X6 : $int,X13 : list_int] : (tb2t(cons(int,t2tb1(X6),t2tb(X13))) = X9 => ((X0 != X6 => (($less(X6,X0) => (! [X16 : bool1] : ((true1 = X16 <=> mem(int,t2tb1(X0),t2tb(X13))) => (true1 = X16 <=> mem(int,t2tb1(X0),t2tb(X9)))) & sorted1(X13) & ! [X14 : $int,X15 : list_int] : (tb2t(cons(int,t2tb1(X14),t2tb(X15))) = X9 => X13 = X15) & tb2t(nil(int)) != X9)) & (~$less(X6,X0) => ~mem(int,t2tb1(X0),t2tb(X9))))) & (X0 = X6 => mem(int,t2tb1(X0),t2tb(X9))))) & (tb2t(nil(int)) = X9 => ~mem(int,t2tb1(X0),t2tb(X9)))))), 9.10/1.51 inference(negated_conjecture,[],[f15])). 9.10/1.51 tff(f15,conjecture,( 9.10/1.51 ! [X0 : $int,X9 : list_int] : (sorted1(X9) => (! [X6 : $int,X13 : list_int] : (tb2t(cons(int,t2tb1(X6),t2tb(X13))) = X9 => ((X0 != X6 => (($less(X6,X0) => (! [X16 : bool1] : ((true1 = X16 <=> mem(int,t2tb1(X0),t2tb(X13))) => (true1 = X16 <=> mem(int,t2tb1(X0),t2tb(X9)))) & sorted1(X13) & ! [X14 : $int,X15 : list_int] : (tb2t(cons(int,t2tb1(X14),t2tb(X15))) = X9 => X13 = X15) & tb2t(nil(int)) != X9)) & (~$less(X6,X0) => ~mem(int,t2tb1(X0),t2tb(X9))))) & (X0 = X6 => mem(int,t2tb1(X0),t2tb(X9))))) & (tb2t(nil(int)) = X9 => ~mem(int,t2tb1(X0),t2tb(X9)))))), 9.10/1.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find)). 9.10/1.51 tff(f431,plain,( 9.10/1.51 spl16_2 | spl16_10), 9.10/1.51 inference(avatar_split_clause,[],[f137,f428,f341])). 9.10/1.51 tff(f137,plain,( 9.10/1.51 sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3))) | tb2t(nil(int)) = sK1), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f430,plain,( 9.10/1.51 spl16_6 | spl16_10), 9.10/1.51 inference(avatar_split_clause,[],[f138,f428,f353])). 9.10/1.51 tff(f138,plain,( 9.10/1.51 sK1 = tb2t(cons(int,t2tb1(sK2),t2tb(sK3))) | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f426,plain,( 9.10/1.51 spl16_2 | ~spl16_6 | ~spl16_8), 9.10/1.51 inference(avatar_split_clause,[],[f141,f365,f353,f341])). 9.10/1.51 tff(f141,plain,( 9.10/1.51 sK0 != sK2 | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f424,plain,( 9.10/1.51 spl16_8 | spl16_6 | spl16_1), 9.10/1.51 inference(avatar_split_clause,[],[f423,f338,f353,f365])). 9.10/1.51 tff(f423,plain,( 9.10/1.51 $less(sK2,sK0) | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f281])). 9.10/1.51 tff(f281,plain,( 9.10/1.51 $less(sK2,sK0) | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(duplicate_literal_removal,[],[f148])). 9.10/1.51 tff(f148,plain,( 9.10/1.51 $less(sK2,sK0) | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f422,plain,( 9.10/1.51 spl16_8 | spl16_6 | spl16_1), 9.10/1.51 inference(avatar_split_clause,[],[f281,f338,f353,f365])). 9.10/1.51 tff(f420,plain,( 9.10/1.51 spl16_8 | ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_5 | spl16_9), 9.10/1.51 inference(avatar_split_clause,[],[f283,f387,f350,f347,f359,f341,f338,f365])). 9.10/1.51 tff(f283,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2), 9.10/1.51 inference(duplicate_literal_removal,[],[f151])). 9.10/1.51 tff(f151,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f419,plain,( 9.10/1.51 spl16_6 | spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_9), 9.10/1.51 inference(avatar_split_clause,[],[f418,f387,f347,f359,f341,f365,f353])). 9.10/1.51 tff(f418,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.51 inference(global_subsumption,[],[f414])). 9.10/1.51 tff(f414,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f412])). 9.10/1.51 tff(f412,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f399,f286])). 9.10/1.51 tff(f286,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(duplicate_literal_removal,[],[f156])). 9.10/1.51 tff(f156,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f399,plain,( 9.10/1.51 true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.51 inference(global_subsumption,[],[f395])). 9.10/1.51 tff(f395,plain,( 9.10/1.51 true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f393])). 9.10/1.51 tff(f393,plain,( 9.10/1.51 true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f379])). 9.10/1.51 tff(f379,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f377])). 9.10/1.51 tff(f377,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.51 inference(global_subsumption,[],[f311])). 9.10/1.51 tff(f311,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.51 inference(duplicate_literal_removal,[],[f187])). 9.10/1.51 tff(f187,plain,( 9.10/1.51 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.51 inference(cnf_transformation,[],[f115])). 9.10/1.51 tff(f417,plain,( 9.10/1.51 ~spl16_6 | ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_5), 9.10/1.51 inference(avatar_split_clause,[],[f416,f350,f347,f359,f341,f338,f353])). 9.10/1.52 tff(f416,plain,( 9.10/1.52 true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f397,f284])). 9.10/1.52 tff(f284,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(duplicate_literal_removal,[],[f153])). 9.10/1.52 tff(f153,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f397,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f362,f296])). 9.10/1.52 tff(f296,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(duplicate_literal_removal,[],[f169])). 9.10/1.52 tff(f169,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f362,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0)), 9.10/1.52 inference(global_subsumption,[],[f324])). 9.10/1.52 tff(f324,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0)), 9.10/1.52 inference(duplicate_literal_removal,[],[f201])). 9.10/1.52 tff(f201,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f415,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | spl16_7 | ~spl16_4 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f414,f387,f347,f359,f341,f353,f365])). 9.10/1.52 tff(f413,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | spl16_7 | ~spl16_4 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f412,f387,f347,f359,f341,f353,f365])). 9.10/1.52 tff(f411,plain,( 9.10/1.52 spl16_8 | ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_5 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f289,f387,f350,f347,f344,f341,f338,f365])). 9.10/1.52 tff(f289,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f159])). 9.10/1.52 tff(f159,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f410,plain,( 9.10/1.52 spl16_6 | spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f409,f387,f347,f344,f341,f365,f353])). 9.10/1.52 tff(f409,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f405])). 9.10/1.52 tff(f405,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f402])). 9.10/1.52 tff(f402,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f390,f292])). 9.10/1.52 tff(f292,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f164])). 9.10/1.52 tff(f164,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f390,plain,( 9.10/1.52 true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f383])). 9.10/1.52 tff(f383,plain,( 9.10/1.52 true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f381])). 9.10/1.52 tff(f381,plain,( 9.10/1.52 true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f373])). 9.10/1.52 tff(f373,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f371])). 9.10/1.52 tff(f371,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.52 inference(global_subsumption,[],[f319])). 9.10/1.52 tff(f319,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f195])). 9.10/1.52 tff(f195,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f408,plain,( 9.10/1.52 ~spl16_6 | ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f407,f350,f347,f344,f341,f338,f353])). 9.10/1.52 tff(f407,plain,( 9.10/1.52 true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f385,f290])). 9.10/1.52 tff(f290,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(duplicate_literal_removal,[],[f161])). 9.10/1.52 tff(f161,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK3)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f385,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(global_subsumption,[],[f356,f302])). 9.10/1.52 tff(f302,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(duplicate_literal_removal,[],[f177])). 9.10/1.52 tff(f177,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f356,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0)), 9.10/1.52 inference(global_subsumption,[],[f331])). 9.10/1.52 tff(f331,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0)), 9.10/1.52 inference(duplicate_literal_removal,[],[f209])). 9.10/1.52 tff(f209,plain,( 9.10/1.52 ~mem(int,t2tb1(sK0),t2tb(sK1)) | true1 != sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | ~mem(int,t2tb1(sK0),t2tb(sK1)) | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f406,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f405,f387,f347,f344,f341,f353,f365])). 9.10/1.52 tff(f404,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f402,f387,f347,f344,f341,f353,f365])). 9.10/1.52 tff(f401,plain,( 9.10/1.52 spl16_8 | ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_9 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f295,f350,f387,f347,f359,f341,f338,f365])). 9.10/1.52 tff(f295,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f167])). 9.10/1.52 tff(f167,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f400,plain,( 9.10/1.52 spl16_6 | spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f399,f350,f347,f359,f341,f365,f353])). 9.10/1.52 tff(f398,plain,( 9.10/1.52 ~spl16_6 | ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f397,f387,f347,f359,f341,f338,f353])). 9.10/1.52 tff(f396,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f395,f350,f347,f359,f341,f353,f365])). 9.10/1.52 tff(f394,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f393,f350,f347,f359,f341,f353,f365])). 9.10/1.52 tff(f392,plain,( 9.10/1.52 spl16_8 | ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_9 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f301,f350,f387,f347,f344,f341,f338,f365])). 9.10/1.52 tff(f301,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f175])). 9.10/1.52 tff(f175,plain,( 9.10/1.52 true1 = sK4 | ~mem(int,t2tb1(sK0),t2tb(sK3)) | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | ~$less(sK2,sK0) | sK0 = sK2 | tb2t(nil(int)) = sK1), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f391,plain,( 9.10/1.52 spl16_6 | spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f390,f350,f347,f344,f341,f365,f353])). 9.10/1.52 tff(f389,plain,( 9.10/1.52 ~spl16_6 | ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_9), 9.10/1.52 inference(avatar_split_clause,[],[f385,f387,f347,f344,f341,f338,f353])). 9.10/1.52 tff(f384,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f383,f350,f347,f344,f341,f353,f365])). 9.10/1.52 tff(f382,plain,( 9.10/1.52 spl16_8 | spl16_6 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5), 9.10/1.52 inference(avatar_split_clause,[],[f381,f350,f347,f344,f341,f353,f365])). 9.10/1.52 tff(f380,plain,( 9.10/1.52 spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f379,f353,f350,f347,f359,f341,f365])). 9.10/1.52 tff(f378,plain,( 9.10/1.52 spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f377,f353,f350,f347,f359,f341,f365])). 9.10/1.52 tff(f376,plain,( 9.10/1.52 spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f311,f353,f350,f347,f359,f341,f365])). 9.10/1.52 tff(f375,plain,( 9.10/1.52 spl16_8 | spl16_2 | spl16_7 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f312,f353,f350,f347,f359,f341,f365])). 9.10/1.52 tff(f312,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f188])). 9.10/1.52 tff(f188,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK1 = tb2t(cons(int,t2tb1(sK5),t2tb(sK6))) | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f374,plain,( 9.10/1.52 spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f373,f353,f350,f347,f344,f341,f365])). 9.10/1.52 tff(f372,plain,( 9.10/1.52 spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f371,f353,f350,f347,f344,f341,f365])). 9.10/1.52 tff(f370,plain,( 9.10/1.52 spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f319,f353,f350,f347,f344,f341,f365])). 9.10/1.52 tff(f369,plain,( 9.10/1.52 spl16_8 | spl16_2 | ~spl16_3 | ~spl16_4 | spl16_5 | spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f320,f353,f350,f347,f344,f341,f365])). 9.10/1.52 tff(f320,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | sK0 = sK2), 9.10/1.52 inference(duplicate_literal_removal,[],[f196])). 9.10/1.52 tff(f196,plain,( 9.10/1.52 mem(int,t2tb1(sK0),t2tb(sK1)) | true1 = sK4 | ~sorted1(sK3) | sK3 != sK6 | tb2t(nil(int)) = sK1 | mem(int,t2tb1(sK0),t2tb(sK1)) | sK0 = sK2 | mem(int,t2tb1(sK0),t2tb(sK1))), 9.10/1.52 inference(cnf_transformation,[],[f115])). 9.10/1.52 tff(f363,plain,( 9.10/1.52 ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_5 | ~spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f362,f353,f350,f347,f359,f341,f338])). 9.10/1.52 tff(f361,plain,( 9.10/1.52 ~spl16_1 | spl16_2 | spl16_7 | ~spl16_4 | ~spl16_5 | ~spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f324,f353,f350,f347,f359,f341,f338])). 9.10/1.52 tff(f357,plain,( 9.10/1.52 ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_5 | ~spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f356,f353,f350,f347,f344,f341,f338])). 9.10/1.52 tff(f355,plain,( 9.10/1.52 ~spl16_1 | spl16_2 | ~spl16_3 | ~spl16_4 | ~spl16_5 | ~spl16_6), 9.10/1.52 inference(avatar_split_clause,[],[f331,f353,f350,f347,f344,f341,f338])). 9.10/1.52 % SZS output end Proof for theBenchmark 9.10/1.52 % (24751)------------------------------ 9.10/1.52 % (24751)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.10/1.52 % (24751)Termination reason: Refutation 9.10/1.52 9.10/1.52 % (24751)Memory used [KB]: 7675 9.10/1.52 % (24751)Time elapsed: 1.099 s 9.10/1.52 % (24751)------------------------------ 9.10/1.52 % (24751)------------------------------ 9.10/1.52 % (24722)Success in time 1.191 s 9.10/1.53 EOF