0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.13/0.35	% Computer : n025.cluster.edu
0.13/0.35	% Model    : x86_64 x86_64
0.13/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory   : 8042.1875MB
0.13/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 960
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Tue Aug  9 07:15:26 EDT 2022
0.13/0.35	% CPUTime    : 
0.13/0.35	This is a THF_ problem
0.13/0.35	Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.36	% (30254)Running in auto input_syntax mode. Trying TPTP
0.73/0.93	% (30261)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.73/0.96	% (30255)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.73/0.96	% (30257)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.73/0.96	% (30262)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.73/0.96	% (30256)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.73/0.96	% (30260)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.73/0.96	% (30259)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.73/0.96	% (30258)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
4.61/1.45	% (30255)Time limit reached!
4.61/1.45	% (30255)------------------------------
4.61/1.45	% (30255)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.61/1.45	% (30255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.61/1.45	% (30255)Termination reason: Time limit
4.61/1.45	% (30255)Termination phase: Property scanning
4.61/1.45	
4.61/1.45	% (30255)Memory used [KB]: 22259
4.61/1.45	% (30255)Time elapsed: 0.500 s
4.61/1.45	% (30255)------------------------------
4.61/1.45	% (30255)------------------------------
4.61/1.46	% (30258)Time limit reached!
4.61/1.46	% (30258)------------------------------
4.61/1.46	% (30258)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.61/1.46	% (30258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.61/1.46	% (30258)Termination reason: Time limit
4.61/1.46	% (30258)Termination phase: Property scanning
4.61/1.46	
4.61/1.46	% (30258)Memory used [KB]: 22259
4.61/1.46	% (30258)Time elapsed: 0.500 s
4.61/1.46	% (30258)------------------------------
4.61/1.46	% (30258)------------------------------
4.61/1.46	% (30256)Time limit reached!
4.61/1.46	% (30256)------------------------------
4.61/1.46	% (30256)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.61/1.46	% (30256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.61/1.46	% (30256)Termination reason: Time limit
4.61/1.46	% (30256)Termination phase: Property scanning
4.61/1.46	
4.61/1.46	% (30256)Memory used [KB]: 22259
4.61/1.46	% (30256)Time elapsed: 0.500 s
4.61/1.46	% (30256)------------------------------
4.61/1.46	% (30256)------------------------------
4.61/1.47	% (30261)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
5.21/1.49	% (30263)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
5.21/1.49	% (30264)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=on:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
5.21/1.49	% (30262)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
5.33/1.52	% (30265)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
5.48/1.53	% (30261)Time limit reached!
5.48/1.53	% (30261)------------------------------
5.48/1.53	% (30261)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
5.48/1.53	% (30261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
5.48/1.53	% (30261)Termination reason: Time limit
5.48/1.53	% (30261)Termination phase: Preprocessing 3
5.48/1.53	
5.48/1.53	% (30261)Memory used [KB]: 27888
5.48/1.53	% (30261)Time elapsed: 0.600 s
5.48/1.53	% (30261)------------------------------
5.48/1.53	% (30261)------------------------------
5.48/1.55	% (30257)Time limit reached!
5.48/1.55	% (30257)------------------------------
5.48/1.55	% (30257)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
5.48/1.55	% (30257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
5.48/1.55	% (30257)Termination reason: Time limit
5.48/1.55	% (30257)Termination phase: Property scanning
5.48/1.55	
5.48/1.55	% (30257)Memory used [KB]: 22259
5.48/1.55	% (30257)Time elapsed: 0.600 s
5.48/1.55	% (30257)------------------------------
5.48/1.55	% (30257)------------------------------
5.48/1.57	% (30259)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
5.48/1.59	% (30267)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
5.48/1.59	% (30266)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
9.39/2.03	% (30264)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
10.06/2.09	% (30267)Time limit reached!
10.06/2.09	% (30267)------------------------------
10.06/2.09	% (30267)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
10.06/2.09	% (30267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
10.06/2.09	% (30267)Termination reason: Time limit
10.06/2.09	% (30267)Termination phase: Property scanning
10.06/2.09	
10.06/2.09	% (30267)Memory used [KB]: 22259
10.06/2.09	% (30267)Time elapsed: 0.500 s
10.06/2.09	% (30267)------------------------------
10.06/2.09	% (30267)------------------------------
10.06/2.09	% (30266)Time limit reached!
10.06/2.09	% (30266)------------------------------
10.06/2.09	% (30266)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
10.06/2.09	% (30266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
10.06/2.09	% (30266)Termination reason: Time limit
10.06/2.09	% (30266)Termination phase: Property scanning
10.06/2.09	
10.06/2.09	% (30266)Memory used [KB]: 22259
10.06/2.09	% (30266)Time elapsed: 0.500 s
10.06/2.09	% (30266)------------------------------
10.06/2.09	% (30266)------------------------------
10.06/2.09	% (30264)Time limit reached!
10.06/2.09	% (30264)------------------------------
10.06/2.09	% (30264)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
10.06/2.09	% (30264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
10.06/2.09	% (30264)Termination reason: Time limit
10.06/2.09	% (30264)Termination phase: Preprocessing 3
10.06/2.09	
10.06/2.09	% (30264)Memory used [KB]: 28144
10.06/2.09	% (30264)Time elapsed: 0.600 s
10.06/2.09	% (30264)------------------------------
10.06/2.09	% (30264)------------------------------
10.30/2.12	% (30268)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
10.30/2.12	% (30270)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=none:gsp=on:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
10.30/2.15	% (30269)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
12.50/2.45	% (30259)Time limit reached!
12.50/2.45	% (30259)------------------------------
12.50/2.45	% (30259)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
12.50/2.45	% (30259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
12.50/2.45	% (30259)Termination reason: Time limit
12.50/2.45	% (30259)Termination phase: Property scanning
12.50/2.45	
12.50/2.45	% (30259)Memory used [KB]: 39146
12.50/2.45	% (30259)Time elapsed: 1.500 s
12.50/2.45	% (30259)------------------------------
12.50/2.45	% (30259)------------------------------
13.31/2.49	% (30271)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
13.47/2.55	% (30269)Time limit reached!
13.47/2.55	% (30269)------------------------------
13.47/2.55	% (30269)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
13.47/2.55	% (30269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
13.47/2.55	% (30269)Termination reason: Time limit
13.47/2.55	% (30269)Termination phase: Unknown
13.47/2.55	
13.47/2.55	% (30269)Memory used [KB]: 20852
13.47/2.55	% (30269)Time elapsed: 0.400 s
13.47/2.55	% (30269)------------------------------
13.47/2.55	% (30269)------------------------------
13.47/2.55	% (30260)Time limit reached!
13.47/2.55	% (30260)------------------------------
13.47/2.55	% (30260)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
13.47/2.55	% (30260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
13.47/2.55	% (30260)Termination reason: Time limit
13.47/2.55	% (30260)Termination phase: Property scanning
13.47/2.55	
13.47/2.55	% (30260)Memory used [KB]: 39274
13.47/2.55	% (30260)Time elapsed: 1.600 s
13.47/2.55	% (30260)------------------------------
13.47/2.55	% (30260)------------------------------
13.47/2.59	% (30273)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
14.04/2.64	% (30272)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
14.04/2.64	% (30268)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
14.04/2.65	% (30263)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
17.27/3.04	% (30271)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
18.34/3.12	% (30270)Time limit reached!
18.34/3.12	% (30270)------------------------------
18.34/3.12	% (30270)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
18.34/3.12	% (30270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
18.34/3.12	% (30270)Termination reason: Time limit
18.34/3.12	% (30270)Termination phase: Function definition elimination
18.34/3.12	
18.34/3.12	% (30270)Memory used [KB]: 32366
18.34/3.12	% (30270)Time elapsed: 1.0000 s
18.34/3.12	% (30270)------------------------------
18.34/3.12	% (30270)------------------------------
18.34/3.16	% (30274)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=on:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
18.97/3.22	% (30268)Time limit reached!
18.97/3.22	% (30268)------------------------------
18.97/3.22	% (30268)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
18.97/3.22	% (30268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
18.97/3.22	% (30268)Termination reason: Time limit
18.97/3.22	% (30268)Termination phase: Function definition elimination
18.97/3.22	
18.97/3.22	% (30268)Memory used [KB]: 39274
18.97/3.22	% (30268)Time elapsed: 1.100 s
18.97/3.22	% (30268)------------------------------
18.97/3.22	% (30268)------------------------------
18.97/3.26	% (30275)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
20.81/3.49	% (30273)Time limit reached!
20.81/3.49	% (30273)------------------------------
20.81/3.49	% (30273)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
20.81/3.49	% (30273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
20.81/3.49	% (30273)Termination reason: Time limit
20.81/3.49	% (30273)Termination phase: Function definition elimination
20.81/3.49	
20.81/3.49	% (30273)Memory used [KB]: 31854
20.81/3.49	% (30273)Time elapsed: 0.900 s
20.81/3.49	% (30273)------------------------------
20.81/3.49	% (30273)------------------------------
21.46/3.52	% (30276)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
21.89/3.65	% (30272)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
21.89/3.66	% (30271)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
26.68/4.26	% (30274)Time limit reached!
26.68/4.26	% (30274)------------------------------
26.68/4.26	% (30274)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
26.68/4.26	% (30274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
26.68/4.26	% (30274)Termination reason: Time limit
26.68/4.26	% (30274)Termination phase: Function definition elimination
26.68/4.26	
26.68/4.26	% (30274)Memory used [KB]: 33773
26.68/4.26	% (30274)Time elapsed: 1.100 s
26.68/4.26	% (30274)------------------------------
26.68/4.26	% (30274)------------------------------
27.63/4.29	% (30277)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=on:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
27.92/4.36	% (30262)Time limit reached!
27.92/4.36	% (30262)------------------------------
27.92/4.36	% (30262)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
27.92/4.36	% (30262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
27.92/4.36	% (30262)Termination reason: Time limit
27.92/4.36	% (30262)Termination phase: Property scanning
27.92/4.36	
27.92/4.36	% (30262)Memory used [KB]: 219271
27.92/4.36	% (30262)Time elapsed: 3.400 s
27.92/4.36	% (30262)------------------------------
27.92/4.36	% (30262)------------------------------
28.40/4.41	% (30278)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
29.88/4.59	% (30263)Time limit reached!
29.88/4.59	% (30263)------------------------------
29.88/4.59	% (30263)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
29.88/4.59	% (30263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
29.88/4.59	% (30263)Termination reason: Time limit
29.88/4.59	% (30263)Termination phase: Property scanning
29.88/4.59	
29.88/4.59	% (30263)Memory used [KB]: 39786
29.88/4.59	% (30263)Time elapsed: 3.100 s
29.88/4.59	% (30263)------------------------------
29.88/4.59	% (30263)------------------------------
30.11/4.62	% (30279)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
32.39/4.99	% (30278)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
34.13/5.16	% (30277)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
35.01/5.31	% (30279)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
35.80/5.39	% (30277)Time limit reached!
35.80/5.39	% (30277)------------------------------
35.80/5.39	% (30277)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
35.80/5.39	% (30277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
35.80/5.39	% (30277)Termination reason: Time limit
35.80/5.39	% (30277)Termination phase: Saturation
35.80/5.39	
35.80/5.39	% (30277)Memory used [KB]: 31214
35.80/5.39	% (30277)Time elapsed: 1.100 s
35.80/5.39	% (30277)------------------------------
35.80/5.39	% (30277)------------------------------
36.44/5.43	% (30280)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
39.01/5.74	% (30265)Time limit reached!
39.01/5.74	% (30265)------------------------------
39.01/5.74	% (30265)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
39.01/5.74	% (30265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
39.01/5.74	% (30265)Termination reason: Time limit
39.01/5.74	% (30265)Termination phase: Saturation
39.01/5.74	
39.01/5.74	% (30265)Memory used [KB]: 179613
39.01/5.74	% (30265)Time elapsed: 4.200 s
39.01/5.74	% (30265)------------------------------
39.01/5.74	% (30265)------------------------------
39.68/5.82	% (30281)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
39.68/5.83	% (30272)Time limit reached!
39.68/5.83	% (30272)------------------------------
39.68/5.83	% (30272)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
39.68/5.83	% (30272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
39.68/5.83	% (30272)Termination reason: Time limit
39.68/5.83	% (30272)Termination phase: Saturation
39.68/5.83	
39.68/5.83	% (30272)Memory used [KB]: 80083
39.68/5.83	% (30272)Time elapsed: 3.200 s
39.68/5.83	% (30272)------------------------------
39.68/5.83	% (30272)------------------------------
39.68/5.88	% (30282)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
41.51/6.11	% (30280)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
46.87/6.72	% (30276)Time limit reached!
46.87/6.72	% (30276)------------------------------
46.87/6.72	% (30276)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
46.87/6.72	% (30276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
46.87/6.72	% (30276)Termination reason: Time limit
46.87/6.72	% (30276)Termination phase: Property scanning
46.87/6.72	
46.87/6.72	% (30276)Memory used [KB]: 54242
46.87/6.72	% (30276)Time elapsed: 3.200 s
46.87/6.72	% (30276)------------------------------
46.87/6.72	% (30276)------------------------------
46.87/6.76	WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
46.87/6.76	% (30283)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
48.45/6.92	% (30280)Time limit reached!
48.45/6.92	% (30280)------------------------------
48.45/6.92	% (30280)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
48.45/6.92	% (30280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
48.45/6.92	% (30280)Termination reason: Time limit
48.45/6.92	% (30280)Termination phase: Property scanning
48.45/6.92	
48.45/6.92	% (30280)Memory used [KB]: 38506
48.45/6.92	% (30280)Time elapsed: 1.500 s
48.45/6.92	% (30280)------------------------------
48.45/6.92	% (30280)------------------------------
48.70/6.96	% (30284)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
53.49/7.56	% (30275)Time limit reached!
53.49/7.56	% (30275)------------------------------
53.49/7.56	% (30275)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
53.49/7.56	% (30275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
53.49/7.56	% (30275)Termination reason: Time limit
53.49/7.56	% (30275)Termination phase: Saturation
53.49/7.56	
53.49/7.56	% (30275)Memory used [KB]: 44775
53.49/7.56	% (30275)Time elapsed: 4.300 s
53.49/7.56	% (30275)------------------------------
53.49/7.56	% (30275)------------------------------
53.49/7.59	% (30285)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
65.12/9.01	% (30278)First to succeed.
65.12/9.02	% (30278)Refutation found. Thanks to Tanya!
65.12/9.02	% SZS status Theorem for theBenchmark
65.12/9.02	% SZS output start Proof for theBenchmark
65.12/9.02	thf(type_def_5, type, rat: $tType).
65.12/9.02	thf(type_def_6, type, int: $tType).
65.12/9.02	thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
65.12/9.02	thf(type_def_8, type, real: $tType).
65.12/9.02	thf(type_def_9, type, set_Pr1261947904930325089at_nat: $tType).
65.12/9.02	thf(type_def_10, type, nat: $tType).
65.12/9.02	thf(type_def_11, type, code_integer: $tType).
65.12/9.02	thf(type_def_12, type, product_prod_int_int: $tType).
65.12/9.02	thf(type_def_13, type, code_natural: $tType).
65.12/9.02	thf(type_def_14, type, product_prod_nat_nat: $tType).
65.12/9.02	thf(type_def_15, type, num: $tType).
65.12/9.02	thf(type_def_16, type, complex: $tType).
65.12/9.02	thf(type_def_17, type, option_num: $tType).
65.12/9.02	thf(type_def_18, type, product_prod_num_num: $tType).
65.12/9.02	thf(type_def_19, type, produc6271795597528267376eger_o: $tType).
65.12/9.02	thf(type_def_20, type, produc8923325533196201883nteger: $tType).
65.12/9.02	thf(type_def_21, type, set_int: $tType).
65.12/9.02	thf(type_def_22, type, set_real: $tType).
65.12/9.02	thf(type_def_23, type, set_set_nat: $tType).
65.12/9.02	thf(type_def_24, type, set_nat: $tType).
65.12/9.02	thf(type_def_25, type, filter_real: $tType).
65.12/9.02	thf(type_def_26, type, extended_enat: $tType).
65.12/9.02	thf(type_def_27, type, filter_int: $tType).
65.12/9.02	thf(type_def_28, type, filter_nat: $tType).
65.12/9.02	thf(type_def_29, type, set_complex: $tType).
65.12/9.02	thf(type_def_30, type, set_list_nat: $tType).
65.12/9.02	thf(type_def_31, type, set_Product_unit: $tType).
65.12/9.02	thf(type_def_32, type, list_nat: $tType).
65.12/9.02	thf(type_def_33, type, char: $tType).
65.12/9.02	thf(type_def_34, type, set_Pr8693737435421807431at_nat: $tType).
65.12/9.02	thf(type_def_35, type, literal: $tType).
65.12/9.02	thf(type_def_36, type, list_o: $tType).
65.12/9.02	thf(type_def_37, type, list_int: $tType).
65.12/9.02	thf(type_def_38, type, set_Pr958786334691620121nt_int: $tType).
65.12/9.02	thf(type_def_39, type, set_Code_integer: $tType).
65.12/9.02	thf(type_def_40, type, set_rat: $tType).
65.12/9.02	thf(type_def_41, type, vEBT_VEBT: $tType).
65.12/9.02	thf(type_def_42, type, list_VEBT_VEBT: $tType).
65.12/9.02	thf(type_def_43, type, set_o: $tType).
65.12/9.02	thf(type_def_44, type, list_complex: $tType).
65.12/9.02	thf(type_def_45, type, list_real: $tType).
65.12/9.02	thf(type_def_46, type, list_set_nat: $tType).
65.12/9.02	thf(type_def_47, type, set_VEBT_VEBT: $tType).
65.12/9.02	thf(type_def_48, type, list_num: $tType).
65.12/9.02	thf(type_def_49, type, list_P4002435161011370285od_o_o: $tType).
65.12/9.02	thf(type_def_50, type, product_prod_o_o: $tType).
65.12/9.02	thf(type_def_51, type, list_P3795440434834930179_o_int: $tType).
65.12/9.02	thf(type_def_52, type, product_prod_o_int: $tType).
65.12/9.02	thf(type_def_53, type, list_P6285523579766656935_o_nat: $tType).
65.12/9.02	thf(type_def_54, type, product_prod_o_nat: $tType).
65.12/9.02	thf(type_def_55, type, list_P7495141550334521929T_VEBT: $tType).
65.12/9.02	thf(type_def_56, type, produc2504756804600209347T_VEBT: $tType).
65.12/9.02	thf(type_def_57, type, list_P1726324292696863441at_num: $tType).
65.12/9.02	thf(type_def_58, type, product_prod_nat_num: $tType).
65.12/9.02	thf(type_def_59, type, list_P3744719386663036955um_num: $tType).
65.12/9.02	thf(type_def_60, type, list_P3126845725202233233VEBT_o: $tType).
65.12/9.02	thf(type_def_61, type, produc334124729049499915VEBT_o: $tType).
65.12/9.02	thf(type_def_62, type, list_P4547456442757143711BT_int: $tType).
65.12/9.02	thf(type_def_63, type, produc4894624898956917775BT_int: $tType).
65.12/9.02	thf(type_def_64, type, list_P7037539587688870467BT_nat: $tType).
65.12/9.02	thf(type_def_65, type, produc9072475918466114483BT_nat: $tType).
65.12/9.02	thf(type_def_66, type, list_P7413028617227757229T_VEBT: $tType).
65.12/9.02	thf(type_def_67, type, produc8243902056947475879T_VEBT: $tType).
65.12/9.02	thf(type_def_68, type, list_P7333126701944960589_nat_o: $tType).
65.12/9.02	thf(type_def_69, type, list_P5647936690300460905T_VEBT: $tType).
65.12/9.02	thf(type_def_70, type, option4927543243414619207at_nat: $tType).
65.12/9.02	thf(type_def_71, type, set_num: $tType).
65.12/9.02	thf(type_def_72, type, set_char: $tType).
65.12/9.02	thf(type_def_73, type, produc7822875418678951345atural: $tType).
65.12/9.02	thf(type_def_74, type, produc5835291356934675326atural: $tType).
65.12/9.02	thf(type_def_75, type, produc859450856879609959at_nat: $tType).
65.12/9.02	thf(type_def_76, type, produc7272778201969148633d_enat: $tType).
65.12/9.02	thf(type_def_77, type, product_unit: $tType).
65.12/9.02	thf(func_def_0, type, set_Pr8693737435421807431at_nat: $tType).
65.12/9.02	thf(func_def_1, type, produc5835291356934675326atural: $tType).
65.12/9.02	thf(func_def_2, type, produc859450856879609959at_nat: $tType).
65.12/9.02	thf(func_def_3, type, list_P7413028617227757229T_VEBT: $tType).
65.12/9.02	thf(func_def_4, type, list_P7037539587688870467BT_nat: $tType).
65.12/9.02	thf(func_def_5, type, list_P4547456442757143711BT_int: $tType).
65.12/9.02	thf(func_def_6, type, list_P5647936690300460905T_VEBT: $tType).
65.12/9.02	thf(func_def_7, type, produc8243902056947475879T_VEBT: $tType).
65.12/9.02	thf(func_def_8, type, produc7822875418678951345atural: $tType).
65.12/9.02	thf(func_def_9, type, produc8923325533196201883nteger: $tType).
65.12/9.02	thf(func_def_10, type, produc7272778201969148633d_enat: $tType).
65.12/9.02	thf(func_def_11, type, list_P3126845725202233233VEBT_o: $tType).
65.12/9.02	thf(func_def_12, type, list_P7495141550334521929T_VEBT: $tType).
65.12/9.02	thf(func_def_13, type, option4927543243414619207at_nat: $tType).
65.12/9.02	thf(func_def_14, type, list_P3744719386663036955um_num: $tType).
65.12/9.02	thf(func_def_15, type, list_P1726324292696863441at_num: $tType).
65.12/9.02	thf(func_def_16, type, produc9072475918466114483BT_nat: $tType).
65.12/9.02	thf(func_def_17, type, produc4894624898956917775BT_int: $tType).
65.12/9.02	thf(func_def_18, type, set_Pr1261947904930325089at_nat: $tType).
65.12/9.02	thf(func_def_19, type, set_Pr958786334691620121nt_int: $tType).
65.12/9.02	thf(func_def_20, type, list_P7333126701944960589_nat_o: $tType).
65.12/9.02	thf(func_def_21, type, list_P6285523579766656935_o_nat: $tType).
65.12/9.02	thf(func_def_22, type, list_P3795440434834930179_o_int: $tType).
65.12/9.02	thf(func_def_23, type, produc334124729049499915VEBT_o: $tType).
65.12/9.02	thf(func_def_24, type, produc2504756804600209347T_VEBT: $tType).
65.12/9.02	thf(func_def_25, type, produc6271795597528267376eger_o: $tType).
65.12/9.02	thf(func_def_26, type, product_prod_num_num: $tType).
65.12/9.02	thf(func_def_27, type, product_prod_nat_num: $tType).
65.12/9.02	thf(func_def_28, type, product_prod_nat_nat: $tType).
65.12/9.02	thf(func_def_29, type, product_prod_int_int: $tType).
65.12/9.02	thf(func_def_30, type, list_P4002435161011370285od_o_o: $tType).
65.12/9.02	thf(func_def_31, type, list_VEBT_VEBT: $tType).
65.12/9.02	thf(func_def_32, type, set_list_nat: $tType).
65.12/9.02	thf(func_def_33, type, product_prod_o_nat: $tType).
65.12/9.02	thf(func_def_34, type, product_prod_o_int: $tType).
65.12/9.02	thf(func_def_35, type, list_set_nat: $tType).
65.12/9.02	thf(func_def_36, type, set_VEBT_VEBT: $tType).
65.12/9.02	thf(func_def_37, type, set_set_nat: $tType).
65.12/9.02	thf(func_def_38, type, set_Code_integer: $tType).
65.12/9.02	thf(func_def_39, type, set_Product_unit: $tType).
65.12/9.02	thf(func_def_40, type, list_complex: $tType).
65.12/9.02	thf(func_def_41, type, product_prod_o_o: $tType).
65.12/9.02	thf(func_def_42, type, set_complex: $tType).
65.12/9.02	thf(func_def_43, type, filter_real: $tType).
65.12/9.02	thf(func_def_44, type, option_num: $tType).
65.12/9.02	thf(func_def_45, type, filter_nat: $tType).
65.12/9.02	thf(func_def_46, type, filter_int: $tType).
65.12/9.02	thf(func_def_47, type, set_char: $tType).
65.12/9.02	thf(func_def_48, type, list_real: $tType).
65.12/9.02	thf(func_def_49, type, set_real: $tType).
65.12/9.02	thf(func_def_50, type, list_num: $tType).
65.12/9.02	thf(func_def_51, type, list_nat: $tType).
65.12/9.02	thf(func_def_52, type, list_int: $tType).
65.12/9.02	thf(func_def_53, type, vEBT_VEBT: $tType).
65.12/9.02	thf(func_def_54, type, set_rat: $tType).
65.12/9.02	thf(func_def_55, type, set_num: $tType).
65.12/9.02	thf(func_def_56, type, set_nat: $tType).
65.12/9.02	thf(func_def_57, type, set_int: $tType).
65.12/9.02	thf(func_def_58, type, code_natural: $tType).
65.12/9.02	thf(func_def_59, type, code_integer: $tType).
65.12/9.02	thf(func_def_60, type, product_unit: $tType).
65.12/9.02	thf(func_def_61, type, extended_enat: $tType).
65.12/9.02	thf(func_def_62, type, list_o: $tType).
65.12/9.02	thf(func_def_63, type, complex: $tType).
65.12/9.02	thf(func_def_64, type, literal: $tType).
65.12/9.02	thf(func_def_65, type, set_o: $tType).
65.12/9.02	thf(func_def_66, type, char: $tType).
65.12/9.02	thf(func_def_67, type, real: $tType).
65.12/9.02	thf(func_def_68, type, rat: $tType).
65.12/9.02	thf(func_def_69, type, num: $tType).
65.12/9.02	thf(func_def_70, type, nat: $tType).
65.12/9.02	thf(func_def_71, type, int: $tType).
65.12/9.02	thf(func_def_72, type, archim2889992004027027881ng_rat: rat > int).
65.12/9.02	thf(func_def_73, type, archim7802044766580827645g_real: real > int).
65.12/9.02	thf(func_def_74, type, archim3151403230148437115or_rat: rat > int).
65.12/9.02	thf(func_def_75, type, archim6058952711729229775r_real: real > int).
65.12/9.02	thf(func_def_76, type, archimedean_frac_rat: rat > rat).
65.12/9.02	thf(func_def_77, type, archim2898591450579166408c_real: real > real).
65.12/9.02	thf(func_def_78, type, archim7778729529865785530nd_rat: rat > int).
65.12/9.02	thf(func_def_79, type, archim8280529875227126926d_real: real > int).
65.12/9.02	thf(func_def_80, type, bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat).
65.12/9.02	thf(func_def_81, type, bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat).
65.12/9.02	thf(func_def_82, type, bNF_re1962705104956426057at_rat: ((nat > rat) > (nat > rat) > $o) > (((nat > rat) > nat > rat) > ((nat > rat) > nat > rat) > $o) > ((nat > rat) > (nat > rat) > nat > rat) > ((nat > rat) > (nat > rat) > nat > rat) > $o).
65.12/9.02	thf(func_def_83, type, bNF_re895249473297799549at_rat: ((nat > rat) > (nat > rat) > $o) > ((nat > rat) > (nat > rat) > $o) > ((nat > rat) > nat > rat) > ((nat > rat) > nat > rat) > $o).
65.12/9.02	thf(func_def_84, type, bNF_re728719798268516973at_o_o: ((nat > rat) > (nat > rat) > $o) > ($o > $o > $o) > ((nat > rat) > $o) > ((nat > rat) > $o) > $o).
65.12/9.02	thf(func_def_85, type, bNF_re4695409256820837752l_real: ((nat > rat) > real > $o) > (((nat > rat) > nat > rat) > (real > real) > $o) > ((nat > rat) > (nat > rat) > nat > rat) > (real > real > real) > $o).
65.12/9.02	thf(func_def_86, type, bNF_re4521903465945308077real_o: ((nat > rat) > real > $o) > (((nat > rat) > $o) > (real > $o) > $o) > ((nat > rat) > (nat > rat) > $o) > (real > real > $o) > $o).
65.12/9.02	thf(func_def_87, type, bNF_re3023117138289059399t_real: ((nat > rat) > real > $o) > ((nat > rat) > real > $o) > ((nat > rat) > nat > rat) > (real > real) > $o).
65.12/9.02	thf(func_def_88, type, bNF_re4297313714947099218al_o_o: ((nat > rat) > real > $o) > ($o > $o > $o) > ((nat > rat) > $o) > (real > $o) > $o).
65.12/9.02	thf(func_def_89, type, bNF_re6321650412969554871eger_o: (int > code_integer > $o) > ((int > $o) > (code_integer > $o) > $o) > (int > int > $o) > (code_integer > code_integer > $o) > $o).
65.12/9.02	thf(func_def_90, type, bNF_re398004352372739002nteger: (int > code_integer > $o) > ((int > int) > (code_integer > code_integer) > $o) > (int > int > int) > (code_integer > code_integer > code_integer) > $o).
65.12/9.02	thf(func_def_91, type, bNF_re6574881592172037608er_o_o: (int > code_integer > $o) > ($o > $o > $o) > (int > $o) > (code_integer > $o) > $o).
65.12/9.02	thf(func_def_92, type, bNF_re3379532845092657523nteger: (int > code_integer > $o) > (int > code_integer > $o) > (int > int) > (code_integer > code_integer) > $o).
65.12/9.02	thf(func_def_93, type, bNF_re3403563459893282935_int_o: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > $o).
65.12/9.02	thf(func_def_94, type, bNF_re711492959462206631nt_int: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > $o).
65.12/9.02	thf(func_def_95, type, bNF_re157797125943740599nt_int: (int > int > $o) > ((int > product_prod_int_int) > (int > product_prod_int_int) > $o) > (int > int > product_prod_int_int) > (int > int > product_prod_int_int) > $o).
65.12/9.02	thf(func_def_96, type, bNF_re3461391660133120880nt_rat: (int > int > $o) > ((int > product_prod_int_int) > (int > rat) > $o) > (int > int > product_prod_int_int) > (int > int > rat) > $o).
65.12/9.02	thf(func_def_97, type, bNF_re5089333283451836215nt_o_o: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > $o).
65.12/9.02	thf(func_def_98, type, bNF_re4712519889275205905nt_int: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > $o).
65.12/9.02	thf(func_def_99, type, bNF_re6250860962936578807nt_int: (int > int > $o) > (product_prod_int_int > product_prod_int_int > $o) > (int > product_prod_int_int) > (int > product_prod_int_int) > $o).
65.12/9.02	thf(func_def_100, type, bNF_re2214769303045360666nt_rat: (int > int > $o) > (product_prod_int_int > rat > $o) > (int > product_prod_int_int) > (int > rat) > $o).
65.12/9.02	thf(func_def_101, type, bNF_re1639080489988575423ural_o: (nat > code_natural > $o) > ((nat > $o) > (code_natural > $o) > $o) > (nat > nat > $o) > (code_natural > code_natural > $o) > $o).
65.12/9.02	thf(func_def_102, type, bNF_re88643428490162567atural: (nat > code_natural > $o) > ((nat > nat) > (code_natural > code_natural) > $o) > (nat > nat > nat) > (code_natural > code_natural > code_natural) > $o).
65.12/9.02	thf(func_def_103, type, bNF_re2785088596696291543al_o_o: (nat > code_natural > $o) > ($o > $o > $o) > (nat > $o) > (code_natural > $o) > $o).
65.12/9.02	thf(func_def_104, type, bNF_re5252274238750452962nteger: (nat > code_natural > $o) > (int > code_integer > $o) > (nat > int) > (code_natural > code_integer) > $o).
65.12/9.02	thf(func_def_105, type, bNF_re3704215830270325841atural: (nat > code_natural > $o) > (nat > code_natural > $o) > (nat > nat) > (code_natural > code_natural) > $o).
65.12/9.02	thf(func_def_106, type, bNF_re578469030762574527_nat_o: (nat > nat > $o) > ((nat > $o) > (nat > $o) > $o) > (nat > nat > $o) > (nat > nat > $o) > $o).
65.12/9.02	thf(func_def_107, type, bNF_re1345281282404953727at_nat: (nat > nat > $o) > ((nat > nat) > (nat > nat) > $o) > (nat > nat > nat) > (nat > nat > nat) > $o).
65.12/9.02	thf(func_def_108, type, bNF_re4705727531993890431at_o_o: (nat > nat > $o) > ($o > $o > $o) > (nat > $o) > (nat > $o) > $o).
65.12/9.02	thf(func_def_109, type, bNF_re4153400068438556298nteger: (nat > nat > $o) > (int > code_integer > $o) > (nat > int) > (nat > code_integer) > $o).
65.12/9.02	thf(func_def_110, type, bNF_re6650684261131312217nt_int: (nat > nat > $o) > (int > int > $o) > (nat > int) > (nat > int) > $o).
65.12/9.02	thf(func_def_111, type, bNF_re5653821019739307937at_nat: (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > (nat > nat) > $o).
65.12/9.02	thf(func_def_112, type, bNF_re6830278522597306478at_int: (nat > nat > $o) > (product_prod_nat_nat > int > $o) > (nat > product_prod_nat_nat) > (nat > int) > $o).
65.12/9.02	thf(func_def_113, type, bNF_re7876454716742015248nteger: (num > num > $o) > ((num > int) > (num > code_integer) > $o) > (num > num > int) > (num > num > code_integer) > $o).
65.12/9.02	thf(func_def_114, type, bNF_re8402795839162346335um_int: (num > num > $o) > ((num > int) > (num > int) > $o) > (num > num > int) > (num > num > int) > $o).
65.12/9.02	thf(func_def_115, type, bNF_re6501075790457514782nteger: (num > num > $o) > (int > code_integer > $o) > (num > int) > (num > code_integer) > $o).
65.12/9.02	thf(func_def_116, type, bNF_re1822329894187522285nt_int: (num > num > $o) > (int > int > $o) > (num > int) > (num > int) > $o).
65.12/9.02	thf(func_def_117, type, bNF_re8699439704749558557nt_o_o: (product_prod_int_int > product_prod_int_int > $o) > ($o > $o > $o) > (product_prod_int_int > $o) > (product_prod_int_int > $o) > $o).
65.12/9.02	thf(func_def_118, type, bNF_re7145576690424134365nt_int: (product_prod_int_int > product_prod_int_int > $o) > (product_prod_int_int > product_prod_int_int > $o) > (product_prod_int_int > product_prod_int_int) > (product_prod_int_int > product_prod_int_int) > $o).
65.12/9.02	thf(func_def_119, type, bNF_re1494630372529172596at_o_o: (product_prod_int_int > rat > $o) > ($o > $o > $o) > (product_prod_int_int > $o) > (rat > $o) > $o).
65.12/9.02	thf(func_def_120, type, bNF_re8279943556446156061nt_rat: (product_prod_int_int > rat > $o) > (product_prod_int_int > rat > $o) > (product_prod_int_int > product_prod_int_int) > (rat > rat) > $o).
65.12/9.02	thf(func_def_121, type, bNF_re717283939379294677_int_o: (product_prod_nat_nat > int > $o) > ((product_prod_nat_nat > $o) > (int > $o) > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > (int > int > $o) > $o).
65.12/9.02	thf(func_def_122, type, bNF_re7408651293131936558nt_int: (product_prod_nat_nat > int > $o) > ((product_prod_nat_nat > product_prod_nat_nat) > (int > int) > $o) > (product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat) > (int > int > int) > $o).
65.12/9.02	thf(func_def_123, type, bNF_re6644619430987730960nt_o_o: (product_prod_nat_nat > int > $o) > ($o > $o > $o) > (product_prod_nat_nat > $o) > (int > $o) > $o).
65.12/9.02	thf(func_def_124, type, bNF_re4555766996558763186at_nat: (product_prod_nat_nat > int > $o) > (nat > nat > $o) > (product_prod_nat_nat > nat) > (int > nat) > $o).
65.12/9.02	thf(func_def_125, type, bNF_re7400052026677387805at_int: (product_prod_nat_nat > int > $o) > (product_prod_nat_nat > int > $o) > (product_prod_nat_nat > product_prod_nat_nat) > (int > int) > $o).
65.12/9.02	thf(func_def_126, type, bNF_re4202695980764964119_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > $o).
65.12/9.02	thf(func_def_127, type, bNF_re3099431351363272937at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > $o) > (product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat) > $o).
65.12/9.02	thf(func_def_128, type, bNF_re3666534408544137501at_o_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ($o > $o > $o) > (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o).
65.12/9.02	thf(func_def_129, type, bNF_re8246922863344978751at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (nat > nat > $o) > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > $o).
65.12/9.02	thf(func_def_130, type, bNF_re2241393799969408733at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > $o).
65.12/9.02	thf(func_def_131, type, bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o).
65.12/9.02	thf(func_def_132, type, binomial: nat > nat > nat).
65.12/9.02	thf(func_def_133, type, gbinomial_complex: complex > nat > complex).
65.12/9.02	thf(func_def_134, type, gbinomial_int: int > nat > int).
65.12/9.02	thf(func_def_135, type, gbinomial_nat: nat > nat > nat).
65.12/9.02	thf(func_def_136, type, gbinomial_rat: rat > nat > rat).
65.12/9.02	thf(func_def_137, type, gbinomial_real: real > nat > real).
65.12/9.02	thf(func_def_138, type, bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o).
65.12/9.02	thf(func_def_139, type, bit_and_not_num: num > num > option_num).
65.12/9.02	thf(func_def_140, type, bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o).
65.12/9.02	thf(func_def_141, type, bit_concat_bit: nat > int > int > int).
65.12/9.02	thf(func_def_142, type, bit_or_not_num_neg: num > num > num).
65.12/9.02	thf(func_def_143, type, bit_ri7632146776885996613nteger: code_integer > code_integer).
65.12/9.02	thf(func_def_144, type, bit_ri7919022796975470100ot_int: int > int).
65.12/9.02	thf(func_def_145, type, bit_ri6519982836138164636nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_146, type, bit_ri631733984087533419it_int: nat > int > int).
65.12/9.02	thf(func_def_147, type, bit_se3949692690581998587nteger: code_integer > code_integer > code_integer).
65.12/9.02	thf(func_def_148, type, bit_se2773287842338716102atural: code_natural > code_natural > code_natural).
65.12/9.02	thf(func_def_149, type, bit_se725231765392027082nd_int: int > int > int).
65.12/9.02	thf(func_def_150, type, bit_se727722235901077358nd_nat: nat > nat > nat).
65.12/9.02	thf(func_def_151, type, bit_se8568078237143864401it_int: nat > int > int).
65.12/9.02	thf(func_def_152, type, bit_se8570568707652914677it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_153, type, bit_se1345352211410354436nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_154, type, bit_se168947363167071951atural: nat > code_natural > code_natural).
65.12/9.02	thf(func_def_155, type, bit_se2159334234014336723it_int: nat > int > int).
65.12/9.02	thf(func_def_156, type, bit_se2161824704523386999it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_157, type, bit_se2119862282449309892nteger: nat > code_integer).
65.12/9.02	thf(func_def_158, type, bit_se2000444600071755411sk_int: nat > int).
65.12/9.02	thf(func_def_159, type, bit_se2002935070580805687sk_nat: nat > nat).
65.12/9.02	thf(func_def_160, type, bit_se1409905431419307370or_int: int > int > int).
65.12/9.02	thf(func_def_161, type, bit_se1412395901928357646or_nat: nat > nat > nat).
65.12/9.02	thf(func_def_162, type, bit_se7788150548672797655nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_163, type, bit_se545348938243370406it_int: nat > int > int).
65.12/9.02	thf(func_def_164, type, bit_se547839408752420682it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_165, type, bit_se2793503036327961859nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_166, type, bit_se1617098188084679374atural: nat > code_natural > code_natural).
65.12/9.02	thf(func_def_167, type, bit_se7879613467334960850it_int: nat > int > int).
65.12/9.02	thf(func_def_168, type, bit_se7882103937844011126it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_169, type, bit_se1745604003318907178nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_170, type, bit_se569199155075624693atural: nat > code_natural > code_natural).
65.12/9.02	thf(func_def_171, type, bit_se2923211474154528505it_int: nat > int > int).
65.12/9.02	thf(func_def_172, type, bit_se2925701944663578781it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_173, type, bit_se8260200283734997820nteger: nat > code_integer > code_integer).
65.12/9.02	thf(func_def_174, type, bit_se7083795435491715335atural: nat > code_natural > code_natural).
65.12/9.02	thf(func_def_175, type, bit_se4203085406695923979it_int: nat > int > int).
65.12/9.02	thf(func_def_176, type, bit_se4205575877204974255it_nat: nat > nat > nat).
65.12/9.02	thf(func_def_177, type, bit_se3222712562003087583nteger: code_integer > code_integer > code_integer).
65.12/9.02	thf(func_def_178, type, bit_se6526347334894502574or_int: int > int > int).
65.12/9.02	thf(func_def_179, type, bit_se6528837805403552850or_nat: nat > nat > nat).
65.12/9.02	thf(func_def_180, type, bit_se9216721137139052372nteger: code_integer > nat > $o).
65.12/9.02	thf(func_def_181, type, bit_se8040316288895769887atural: code_natural > nat > $o).
65.12/9.02	thf(func_def_182, type, bit_se1146084159140164899it_int: int > nat > $o).
65.12/9.02	thf(func_def_183, type, bit_se1148574629649215175it_nat: nat > nat > $o).
65.12/9.02	thf(func_def_184, type, bit_take_bit_num: nat > num > option_num).
65.12/9.02	thf(func_def_185, type, bit_un7362597486090784418nd_num: num > num > option_num).
65.12/9.02	thf(func_def_186, type, bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o).
65.12/9.02	thf(func_def_187, type, bit_un2480387367778600638or_num: num > num > option_num).
65.12/9.02	thf(func_def_188, type, bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o).
65.12/9.02	thf(func_def_189, type, code_Suc: code_natural > code_natural).
65.12/9.02	thf(func_def_190, type, code_bit_cut_integer: code_integer > produc6271795597528267376eger_o).
65.12/9.02	thf(func_def_191, type, code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger).
65.12/9.02	thf(func_def_192, type, code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger).
65.12/9.02	thf(func_def_193, type, code_dup: code_integer > code_integer).
65.12/9.02	thf(func_def_194, type, code_int_of_integer: code_integer > int).
65.12/9.02	thf(func_def_195, type, code_integer_of_int: int > code_integer).
65.12/9.02	thf(func_def_196, type, code_integer_of_nat: nat > code_integer).
65.12/9.02	thf(func_def_197, type, code_i5400310926305786745atural: code_natural > code_integer).
65.12/9.02	thf(func_def_198, type, code_integer_of_num: num > code_integer).
65.12/9.02	thf(func_def_199, type, code_nat_of_integer: code_integer > nat).
65.12/9.02	thf(func_def_200, type, code_nat_of_natural: code_natural > nat).
65.12/9.02	thf(func_def_201, type, code_natural_of_nat: nat > code_natural).
65.12/9.02	thf(func_def_202, type, code_negative: num > code_integer).
65.12/9.02	thf(func_def_203, type, code_num_of_integer: code_integer > num).
65.12/9.02	thf(func_def_204, type, code_pcr_integer: int > code_integer > $o).
65.12/9.02	thf(func_def_205, type, code_pcr_natural: nat > code_natural > $o).
65.12/9.02	thf(func_def_206, type, code_sub: num > num > code_integer).
65.12/9.02	thf(func_def_207, type, code_Target_negative: num > int).
65.12/9.02	thf(func_def_208, type, code_T6385005292777649522of_nat: nat > int).
65.12/9.02	thf(func_def_209, type, complete_Inf_Inf_int: set_int > int).
65.12/9.02	thf(func_def_210, type, comple4887499456419720421f_real: set_real > real).
65.12/9.02	thf(func_def_211, type, comple7806235888213564991et_nat: set_set_nat > set_nat).
65.12/9.02	thf(func_def_212, type, complete_Sup_Sup_int: set_int > int).
65.12/9.03	thf(func_def_213, type, complete_Sup_Sup_nat: set_nat > nat).
65.12/9.03	thf(func_def_214, type, comple1385675409528146559p_real: set_real > real).
65.12/9.03	thf(func_def_215, type, arg: complex > real).
65.12/9.03	thf(func_def_216, type, cis: real > complex).
65.12/9.03	thf(func_def_217, type, cnj: complex > complex).
65.12/9.03	thf(func_def_218, type, complex2: real > real > complex).
65.12/9.03	thf(func_def_219, type, im: complex > real).
65.12/9.03	thf(func_def_220, type, re: complex > real).
65.12/9.03	thf(func_def_221, type, csqrt: complex > complex).
65.12/9.03	thf(func_def_222, type, imaginary_unit: complex).
65.12/9.03	thf(func_def_223, type, rcis: real > real > complex).
65.12/9.03	thf(func_def_224, type, differ6690327859849518006l_real: (real > real) > filter_real > $o).
65.12/9.03	thf(func_def_225, type, has_de1759254742604945161l_real: (real > real) > (real > real) > filter_real > $o).
65.12/9.03	thf(func_def_226, type, has_fi5821293074295781190e_real: (real > real) > real > filter_real > $o).
65.12/9.03	thf(func_def_227, type, adjust_div: product_prod_int_int > int).
65.12/9.03	thf(func_def_228, type, adjust_mod: int > int > int).
65.12/9.03	thf(func_def_229, type, divmod_nat: nat > nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_230, type, eucl_rel_int: int > int > product_prod_int_int > $o).
65.12/9.03	thf(func_def_231, type, unique6319869463603278526ux_int: product_prod_int_int > $o).
65.12/9.03	thf(func_def_232, type, unique6322359934112328802ux_nat: product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_233, type, unique3479559517661332726nteger: num > num > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_234, type, unique5052692396658037445od_int: num > num > product_prod_int_int).
65.12/9.03	thf(func_def_235, type, unique5055182867167087721od_nat: num > num > product_prod_nat_nat).
65.12/9.03	thf(func_def_236, type, unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_237, type, unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int).
65.12/9.03	thf(func_def_238, type, unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_239, type, euclid3395696857347342551nt_int: int > int).
65.12/9.03	thf(func_def_240, type, euclid3398187327856392827nt_nat: nat > nat).
65.12/9.03	thf(func_def_241, type, extended_eSuc: extended_enat > extended_enat).
65.12/9.03	thf(func_def_242, type, extended_enat2: nat > extended_enat).
65.12/9.03	thf(func_def_243, type, extended_case_enat_o: (nat > $o) > $o > extended_enat > $o).
65.12/9.03	thf(func_def_244, type, extend3600170679010898289d_enat: (nat > extended_enat) > extended_enat > extended_enat > extended_enat).
65.12/9.03	thf(func_def_245, type, extend5688581933313929465d_enat: extended_enat).
65.12/9.03	thf(func_def_246, type, comm_s8582702949713902594nteger: code_integer > nat > code_integer).
65.12/9.03	thf(func_def_247, type, comm_s2602460028002588243omplex: complex > nat > complex).
65.12/9.03	thf(func_def_248, type, comm_s4660882817536571857er_int: int > nat > int).
65.12/9.03	thf(func_def_249, type, comm_s4663373288045622133er_nat: nat > nat > nat).
65.12/9.03	thf(func_def_250, type, comm_s4028243227959126397er_rat: rat > nat > rat).
65.12/9.03	thf(func_def_251, type, comm_s7457072308508201937r_real: real > nat > real).
65.12/9.03	thf(func_def_252, type, semiri3624122377584611663nteger: nat > code_integer).
65.12/9.03	thf(func_def_253, type, semiri2447717529341329178atural: nat > code_natural).
65.12/9.03	thf(func_def_254, type, semiri5044797733671781792omplex: nat > complex).
65.12/9.03	thf(func_def_255, type, semiri1406184849735516958ct_int: nat > int).
65.12/9.03	thf(func_def_256, type, semiri1408675320244567234ct_nat: nat > nat).
65.12/9.03	thf(func_def_257, type, semiri773545260158071498ct_rat: nat > rat).
65.12/9.03	thf(func_def_258, type, semiri2265585572941072030t_real: nat > real).
65.12/9.03	thf(func_def_259, type, invers8013647133539491842omplex: complex > complex).
65.12/9.03	thf(func_def_260, type, inverse_inverse_rat: rat > rat).
65.12/9.03	thf(func_def_261, type, inverse_inverse_real: real > real).
65.12/9.03	thf(func_def_262, type, at_bot_real: filter_real).
65.12/9.03	thf(func_def_263, type, at_top_int: filter_int).
65.12/9.03	thf(func_def_264, type, at_top_nat: filter_nat).
65.12/9.03	thf(func_def_265, type, at_top_real: filter_real).
65.12/9.03	thf(func_def_266, type, eventually_nat: (nat > $o) > filter_nat > $o).
65.12/9.03	thf(func_def_267, type, eventually_real: (real > $o) > filter_real > $o).
65.12/9.03	thf(func_def_268, type, filterlim_nat_int: (nat > int) > filter_int > filter_nat > $o).
65.12/9.03	thf(func_def_269, type, filterlim_nat_nat: (nat > nat) > filter_nat > filter_nat > $o).
65.12/9.03	thf(func_def_270, type, filterlim_nat_real: (nat > real) > filter_real > filter_nat > $o).
65.12/9.03	thf(func_def_271, type, filterlim_real_real: (real > real) > filter_real > filter_real > $o).
65.12/9.03	thf(func_def_272, type, filtermap_real_real: (real > real) > filter_real > filter_real).
65.12/9.03	thf(func_def_273, type, finite_card_complex: set_complex > nat).
65.12/9.03	thf(func_def_274, type, finite_card_int: set_int > nat).
65.12/9.03	thf(func_def_275, type, finite_card_list_nat: set_list_nat > nat).
65.12/9.03	thf(func_def_276, type, finite_card_nat: set_nat > nat).
65.12/9.03	thf(func_def_277, type, finite410649719033368117t_unit: set_Product_unit > nat).
65.12/9.03	thf(func_def_278, type, finite_card_set_nat: set_set_nat > nat).
65.12/9.03	thf(func_def_279, type, finite3207457112153483333omplex: set_complex > $o).
65.12/9.03	thf(func_def_280, type, finite_finite_int: set_int > $o).
65.12/9.03	thf(func_def_281, type, finite_finite_nat: set_nat > $o).
65.12/9.03	thf(func_def_282, type, bij_be1856998921033663316omplex: (complex > complex) > set_complex > set_complex > $o).
65.12/9.03	thf(func_def_283, type, bij_betw_int_nat: (int > nat) > set_int > set_nat > $o).
65.12/9.03	thf(func_def_284, type, bij_be8532844293280997160at_nat: (list_nat > nat) > set_list_nat > set_nat > $o).
65.12/9.03	thf(func_def_285, type, bij_betw_nat_complex: (nat > complex) > set_nat > set_complex > $o).
65.12/9.03	thf(func_def_286, type, bij_betw_nat_int: (nat > int) > set_nat > set_int > $o).
65.12/9.03	thf(func_def_287, type, bij_be6293887246118711976st_nat: (nat > list_nat) > set_nat > set_list_nat > $o).
65.12/9.03	thf(func_def_288, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o).
65.12/9.03	thf(func_def_289, type, bij_be8693218025023041337at_nat: (nat > product_prod_nat_nat) > set_nat > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_290, type, bij_be5333170631980326235at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > set_nat > $o).
65.12/9.03	thf(func_def_291, type, comp_C8797469213163452608nteger: ((code_integer > code_integer) > produc8923325533196201883nteger > produc8923325533196201883nteger) > (code_integer > code_integer > code_integer) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_292, type, comp_C1593894019821074884nteger: (code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger) > (code_integer > code_integer) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_293, type, comp_C3531382070062128313er_num: (code_integer > code_integer) > (num > code_integer) > num > code_integer).
65.12/9.03	thf(func_def_294, type, comp_int_int_num: (int > int) > (num > int) > num > int).
65.12/9.03	thf(func_def_295, type, comp_int_nat_int: (int > nat) > (int > int) > int > nat).
65.12/9.03	thf(func_def_296, type, comp_nat_nat_nat: (nat > nat) > (nat > nat) > nat > nat).
65.12/9.03	thf(func_def_297, type, id_o: $o > $o).
65.12/9.03	thf(func_def_298, type, id_nat: nat > nat).
65.12/9.03	thf(func_def_299, type, inj_on_int_nat: (int > nat) > set_int > $o).
65.12/9.03	thf(func_def_300, type, inj_on_list_nat_nat: (list_nat > nat) > set_list_nat > $o).
65.12/9.03	thf(func_def_301, type, inj_on_nat_int: (nat > int) > set_nat > $o).
65.12/9.03	thf(func_def_302, type, inj_on_nat_list_nat: (nat > list_nat) > set_nat > $o).
65.12/9.03	thf(func_def_303, type, inj_on_nat_nat: (nat > nat) > set_nat > $o).
65.12/9.03	thf(func_def_304, type, inj_on5538052773655684606at_nat: (nat > product_prod_nat_nat) > set_nat > $o).
65.12/9.03	thf(func_def_305, type, inj_on_nat_char: (nat > char) > set_nat > $o).
65.12/9.03	thf(func_def_306, type, inj_on2178005380612969504at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_307, type, inj_on_real_real: (real > real) > set_real > $o).
65.12/9.03	thf(func_def_308, type, inj_on_set_nat_nat: (set_nat > nat) > set_set_nat > $o).
65.12/9.03	thf(func_def_309, type, map_fu8272188784021352819nteger: (code_integer > int) > ((int > int) > code_integer > code_integer) > (int > int > int) > code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_310, type, map_fu2599414010547811884nteger: (code_integer > int) > (int > code_integer) > (int > int) > code_integer > code_integer).
65.12/9.03	thf(func_def_311, type, map_fu6549440983881763648atural: (code_natural > nat) > ((nat > nat) > code_natural > code_natural) > (nat > nat > nat) > code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_312, type, map_fu2787874002554666395nteger: (code_natural > nat) > (int > code_integer) > (nat > int) > code_natural > code_integer).
65.12/9.03	thf(func_def_313, type, map_fu1239815594074539274atural: (code_natural > nat) > (nat > code_natural) > (nat > nat) > code_natural > code_natural).
65.12/9.03	thf(func_def_314, type, map_fu434086159418415080_int_o: (int > product_prod_nat_nat) > ((product_prod_nat_nat > $o) > int > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > int > int > $o).
65.12/9.03	thf(func_def_315, type, map_fu4960017516451851995nt_int: (int > product_prod_nat_nat) > ((product_prod_nat_nat > product_prod_nat_nat) > int > int) > (product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat) > int > int > int).
65.12/9.03	thf(func_def_316, type, map_fu4826362097070443709at_o_o: (int > product_prod_nat_nat) > ($o > $o) > (product_prod_nat_nat > $o) > int > $o).
65.12/9.03	thf(func_def_317, type, map_fu2345160673673942751at_nat: (int > product_prod_nat_nat) > (nat > nat) > (product_prod_nat_nat > nat) > int > nat).
65.12/9.03	thf(func_def_318, type, map_fu3667384564859982768at_int: (int > product_prod_nat_nat) > (product_prod_nat_nat > int) > (product_prod_nat_nat > product_prod_nat_nat) > int > int).
65.12/9.03	thf(func_def_319, type, map_fu6290471996055670595nteger: (nat > nat) > (int > code_integer) > (nat > int) > nat > code_integer).
65.12/9.03	thf(func_def_320, type, map_fu898904425404107465nt_o_o: (rat > product_prod_int_int) > ($o > $o) > (product_prod_int_int > $o) > rat > $o).
65.12/9.03	thf(func_def_321, type, map_fu5673905371560938248nt_rat: (rat > product_prod_int_int) > (product_prod_int_int > rat) > (product_prod_int_int > product_prod_int_int) > rat > rat).
65.12/9.03	thf(func_def_322, type, map_fu1532550112467129777l_real: (real > nat > rat) > (((nat > rat) > nat > rat) > real > real) > ((nat > rat) > (nat > rat) > nat > rat) > real > real > real).
65.12/9.03	thf(func_def_323, type, map_fu7146612038024189824t_real: (real > nat > rat) > ((nat > rat) > real) > ((nat > rat) > nat > rat) > real > real).
65.12/9.03	thf(func_def_324, type, map_fu1856342031159181835at_o_o: (real > nat > rat) > ($o > $o) > ((nat > rat) > $o) > real > $o).
65.12/9.03	thf(func_def_325, type, strict1292158309912662752at_nat: (nat > nat) > set_nat > $o).
65.12/9.03	thf(func_def_326, type, the_in5290026491893676941l_real: set_real > (real > real) > real > real).
65.12/9.03	thf(func_def_327, type, fun_is_measure_int: (int > nat) > $o).
65.12/9.03	thf(func_def_328, type, fun_pair_leq: set_Pr8693737435421807431at_nat).
65.12/9.03	thf(func_def_329, type, fun_pair_less: set_Pr8693737435421807431at_nat).
65.12/9.03	thf(func_def_330, type, gcd_Gcd_int: set_int > int).
65.12/9.03	thf(func_def_331, type, gcd_Gcd_nat: set_nat > nat).
65.12/9.03	thf(func_def_332, type, gcd_Lcm_int: set_int > int).
65.12/9.03	thf(func_def_333, type, gcd_Lcm_nat: set_nat > nat).
65.12/9.03	thf(func_def_334, type, bezw: nat > nat > product_prod_int_int).
65.12/9.03	thf(func_def_335, type, bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_336, type, gcd_gcd_Code_integer: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_337, type, gcd_gcd_int: int > int > int).
65.12/9.03	thf(func_def_338, type, gcd_gcd_nat: nat > nat > nat).
65.12/9.03	thf(func_def_339, type, gcd_lcm_Code_integer: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_340, type, gcd_lcm_int: int > int > int).
65.12/9.03	thf(func_def_341, type, gcd_lcm_nat: nat > nat > nat).
65.12/9.03	thf(func_def_342, type, gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_343, type, abs_abs_Code_integer: code_integer > code_integer).
65.12/9.03	thf(func_def_344, type, abs_abs_complex: complex > complex).
65.12/9.03	thf(func_def_345, type, abs_abs_int: int > int).
65.12/9.03	thf(func_def_346, type, abs_abs_rat: rat > rat).
65.12/9.03	thf(func_def_347, type, abs_abs_real: real > real).
65.12/9.03	thf(func_def_348, type, comm_monoid_nat: (nat > nat > nat) > nat > $o).
65.12/9.03	thf(func_def_349, type, minus_8727706125548526216plex_o: (complex > $o) > (complex > $o) > complex > $o).
65.12/9.03	thf(func_def_350, type, minus_minus_int_o: (int > $o) > (int > $o) > int > $o).
65.12/9.03	thf(func_def_351, type, minus_1139252259498527702_nat_o: (list_nat > $o) > (list_nat > $o) > list_nat > $o).
65.12/9.03	thf(func_def_352, type, minus_minus_nat_o: (nat > $o) > (nat > $o) > nat > $o).
65.12/9.03	thf(func_def_353, type, minus_2270307095948843157_nat_o: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_354, type, minus_minus_real_o: (real > $o) > (real > $o) > real > $o).
65.12/9.03	thf(func_def_355, type, minus_6910147592129066416_nat_o: (set_nat > $o) > (set_nat > $o) > set_nat > $o).
65.12/9.03	thf(func_def_356, type, minus_8373710615458151222nteger: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_357, type, minus_7197305767214868737atural: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_358, type, minus_minus_complex: complex > complex > complex).
65.12/9.03	thf(func_def_359, type, minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat).
65.12/9.03	thf(func_def_360, type, minus_minus_int: int > int > int).
65.12/9.03	thf(func_def_361, type, minus_minus_nat: nat > nat > nat).
65.12/9.03	thf(func_def_362, type, minus_minus_rat: rat > rat > rat).
65.12/9.03	thf(func_def_363, type, minus_minus_real: real > real > real).
65.12/9.03	thf(func_def_364, type, minus_811609699411566653omplex: set_complex > set_complex > set_complex).
65.12/9.03	thf(func_def_365, type, minus_minus_set_int: set_int > set_int > set_int).
65.12/9.03	thf(func_def_366, type, minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat).
65.12/9.03	thf(func_def_367, type, minus_minus_set_nat: set_nat > set_nat > set_nat).
65.12/9.03	thf(func_def_368, type, minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_369, type, minus_minus_set_real: set_real > set_real > set_real).
65.12/9.03	thf(func_def_370, type, minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat).
65.12/9.03	thf(func_def_371, type, monoid_nat: (nat > nat > nat) > nat > $o).
65.12/9.03	thf(func_def_372, type, one_one_Code_integer: code_integer).
65.12/9.03	thf(func_def_373, type, one_one_Code_natural: code_natural).
65.12/9.03	thf(func_def_374, type, one_one_complex: complex).
65.12/9.03	thf(func_def_375, type, one_on7984719198319812577d_enat: extended_enat).
65.12/9.03	thf(func_def_376, type, one_one_int: int).
65.12/9.03	thf(func_def_377, type, one_one_nat: nat).
65.12/9.03	thf(func_def_378, type, one_one_rat: rat).
65.12/9.03	thf(func_def_379, type, one_one_real: real).
65.12/9.03	thf(func_def_380, type, plus_p5714425477246183910nteger: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_381, type, plus_p4538020629002901425atural: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_382, type, plus_plus_complex: complex > complex > complex).
65.12/9.03	thf(func_def_383, type, plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat).
65.12/9.03	thf(func_def_384, type, plus_plus_int: int > int > int).
65.12/9.03	thf(func_def_385, type, plus_plus_nat: nat > nat > nat).
65.12/9.03	thf(func_def_386, type, plus_plus_num: num > num > num).
65.12/9.03	thf(func_def_387, type, plus_plus_rat: rat > rat > rat).
65.12/9.03	thf(func_def_388, type, plus_plus_real: real > real > real).
65.12/9.03	thf(func_def_389, type, plus_plus_literal: literal > literal > literal).
65.12/9.03	thf(func_def_390, type, sgn_sgn_Code_integer: code_integer > code_integer).
65.12/9.03	thf(func_def_391, type, sgn_sgn_complex: complex > complex).
65.12/9.03	thf(func_def_392, type, sgn_sgn_int: int > int).
65.12/9.03	thf(func_def_393, type, sgn_sgn_rat: rat > rat).
65.12/9.03	thf(func_def_394, type, sgn_sgn_real: real > real).
65.12/9.03	thf(func_def_395, type, times_3573771949741848930nteger: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_396, type, times_2397367101498566445atural: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_397, type, times_times_complex: complex > complex > complex).
65.12/9.03	thf(func_def_398, type, times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat).
65.12/9.03	thf(func_def_399, type, times_times_int: int > int > int).
65.12/9.03	thf(func_def_400, type, times_times_nat: nat > nat > nat).
65.12/9.03	thf(func_def_401, type, times_times_num: num > num > num).
65.12/9.03	thf(func_def_402, type, times_times_rat: rat > rat > rat).
65.12/9.03	thf(func_def_403, type, times_times_real: real > real > real).
65.12/9.03	thf(func_def_404, type, uminus1680532995456772888plex_o: (complex > $o) > complex > $o).
65.12/9.03	thf(func_def_405, type, uminus_uminus_int_o: (int > $o) > int > $o).
65.12/9.03	thf(func_def_406, type, uminus5770388063884162150_nat_o: (list_nat > $o) > list_nat > $o).
65.12/9.03	thf(func_def_407, type, uminus_uminus_nat_o: (nat > $o) > nat > $o).
65.12/9.03	thf(func_def_408, type, uminus_uminus_real_o: (real > $o) > real > $o).
65.12/9.03	thf(func_def_409, type, uminus6401447641752708672_nat_o: (set_nat > $o) > set_nat > $o).
65.12/9.03	thf(func_def_410, type, uminus1351360451143612070nteger: code_integer > code_integer).
65.12/9.03	thf(func_def_411, type, uminus1482373934393186551omplex: complex > complex).
65.12/9.03	thf(func_def_412, type, uminus_uminus_int: int > int).
65.12/9.03	thf(func_def_413, type, uminus_uminus_rat: rat > rat).
65.12/9.03	thf(func_def_414, type, uminus_uminus_real: real > real).
65.12/9.03	thf(func_def_415, type, uminus8566677241136511917omplex: set_complex > set_complex).
65.12/9.03	thf(func_def_416, type, uminus1532241313380277803et_int: set_int > set_int).
65.12/9.03	thf(func_def_417, type, uminus3195874150345416415st_nat: set_list_nat > set_list_nat).
65.12/9.03	thf(func_def_418, type, uminus5710092332889474511et_nat: set_nat > set_nat).
65.12/9.03	thf(func_def_419, type, uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_420, type, uminus612125837232591019t_real: set_real > set_real).
65.12/9.03	thf(func_def_421, type, uminus613421341184616069et_nat: set_set_nat > set_set_nat).
65.12/9.03	thf(func_def_422, type, zero_z3403309356797280102nteger: code_integer).
65.12/9.03	thf(func_def_423, type, zero_z2226904508553997617atural: code_natural).
65.12/9.03	thf(func_def_424, type, zero_zero_complex: complex).
65.12/9.03	thf(func_def_425, type, zero_z5237406670263579293d_enat: extended_enat).
65.12/9.03	thf(func_def_426, type, zero_zero_int: int).
65.12/9.03	thf(func_def_427, type, zero_zero_nat: nat).
65.12/9.03	thf(func_def_428, type, zero_zero_rat: rat).
65.12/9.03	thf(func_def_429, type, zero_zero_real: real).
65.12/9.03	thf(func_def_430, type, zero_zero_literal: literal).
65.12/9.03	thf(func_def_431, type, groups6621422865394947399nteger: (complex > code_integer) > set_complex > code_integer).
65.12/9.03	thf(func_def_432, type, groups7754918857620584856omplex: (complex > complex) > set_complex > complex).
65.12/9.03	thf(func_def_433, type, groups5690904116761175830ex_int: (complex > int) > set_complex > int).
65.12/9.03	thf(func_def_434, type, groups5693394587270226106ex_nat: (complex > nat) > set_complex > nat).
65.12/9.03	thf(func_def_435, type, groups5058264527183730370ex_rat: (complex > rat) > set_complex > rat).
65.12/9.03	thf(func_def_436, type, groups5808333547571424918x_real: (complex > real) > set_complex > real).
65.12/9.03	thf(func_def_437, type, groups7873554091576472773nteger: (int > code_integer) > set_int > code_integer).
65.12/9.03	thf(func_def_438, type, groups3049146728041665814omplex: (int > complex) > set_int > complex).
65.12/9.03	thf(func_def_439, type, groups4538972089207619220nt_int: (int > int) > set_int > int).
65.12/9.03	thf(func_def_440, type, groups4541462559716669496nt_nat: (int > nat) > set_int > nat).
65.12/9.03	thf(func_def_441, type, groups3906332499630173760nt_rat: (int > rat) > set_int > rat).
65.12/9.03	thf(func_def_442, type, groups8778361861064173332t_real: (int > real) > set_int > real).
65.12/9.03	thf(func_def_443, type, groups7501900531339628137nteger: (nat > code_integer) > set_nat > code_integer).
65.12/9.03	thf(func_def_444, type, groups2073611262835488442omplex: (nat > complex) > set_nat > complex).
65.12/9.03	thf(func_def_445, type, groups3539618377306564664at_int: (nat > int) > set_nat > int).
65.12/9.03	thf(func_def_446, type, groups3542108847815614940at_nat: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_447, type, groups2906978787729119204at_rat: (nat > rat) > set_nat > rat).
65.12/9.03	thf(func_def_448, type, groups6591440286371151544t_real: (nat > real) > set_nat > real).
65.12/9.03	thf(func_def_449, type, groups977919841031483927at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > nat).
65.12/9.03	thf(func_def_450, type, groups7713935264441627589nteger: (real > code_integer) > set_real > code_integer).
65.12/9.03	thf(func_def_451, type, groups5754745047067104278omplex: (real > complex) > set_real > complex).
65.12/9.03	thf(func_def_452, type, groups1932886352136224148al_int: (real > int) > set_real > int).
65.12/9.03	thf(func_def_453, type, groups1935376822645274424al_nat: (real > nat) > set_real > nat).
65.12/9.03	thf(func_def_454, type, groups1300246762558778688al_rat: (real > rat) > set_real > rat).
65.12/9.03	thf(func_def_455, type, groups8097168146408367636l_real: (real > real) > set_real > real).
65.12/9.03	thf(func_def_456, type, groups8294997508430121362at_nat: (set_nat > nat) > set_set_nat > nat).
65.12/9.03	thf(func_def_457, type, groups3708469109370488835omplex: (complex > complex) > set_complex > complex).
65.12/9.03	thf(func_def_458, type, groups858564598930262913ex_int: (complex > int) > set_complex > int).
65.12/9.03	thf(func_def_459, type, groups861055069439313189ex_nat: (complex > nat) > set_complex > nat).
65.12/9.03	thf(func_def_460, type, groups225925009352817453ex_rat: (complex > rat) > set_complex > rat).
65.12/9.03	thf(func_def_461, type, groups766887009212190081x_real: (complex > real) > set_complex > real).
65.12/9.03	thf(func_def_462, type, groups7440179247065528705omplex: (int > complex) > set_int > complex).
65.12/9.03	thf(func_def_463, type, groups1705073143266064639nt_int: (int > int) > set_int > int).
65.12/9.03	thf(func_def_464, type, groups1707563613775114915nt_nat: (int > nat) > set_int > nat).
65.12/9.03	thf(func_def_465, type, groups1072433553688619179nt_rat: (int > rat) > set_int > rat).
65.12/9.03	thf(func_def_466, type, groups2316167850115554303t_real: (int > real) > set_int > real).
65.12/9.03	thf(func_def_467, type, groups6464643781859351333omplex: (nat > complex) > set_nat > complex).
65.12/9.03	thf(func_def_468, type, groups705719431365010083at_int: (nat > int) > set_nat > int).
65.12/9.03	thf(func_def_469, type, groups708209901874060359at_nat: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_470, type, groups73079841787564623at_rat: (nat > rat) > set_nat > rat).
65.12/9.03	thf(func_def_471, type, groups129246275422532515t_real: (nat > real) > set_nat > real).
65.12/9.03	thf(func_def_472, type, groups713298508707869441omplex: (real > complex) > set_real > complex).
65.12/9.03	thf(func_def_473, type, groups4694064378042380927al_int: (real > int) > set_real > int).
65.12/9.03	thf(func_def_474, type, groups4696554848551431203al_nat: (real > nat) > set_real > nat).
65.12/9.03	thf(func_def_475, type, groups4061424788464935467al_rat: (real > rat) > set_real > rat).
65.12/9.03	thf(func_def_476, type, groups1681761925125756287l_real: (real > real) > set_real > real).
65.12/9.03	thf(func_def_477, type, groups9116527308978886569_o_int: ($o > int) > int > list_o > int).
65.12/9.03	thf(func_def_478, type, groups9119017779487936845_o_nat: ($o > nat) > nat > list_o > nat).
65.12/9.03	thf(func_def_479, type, groups4561878855575611511st_nat: list_nat > nat).
65.12/9.03	thf(func_def_480, type, the_int: (int > $o) > int).
65.12/9.03	thf(func_def_481, type, the_Pr4378521158711661632nt_int: (product_prod_int_int > $o) > product_prod_int_int).
65.12/9.03	thf(func_def_482, type, the_real: (real > $o) > real).
65.12/9.03	thf(func_def_483, type, if_nat_rat: $o > (nat > rat) > (nat > rat) > nat > rat).
65.12/9.03	thf(func_def_484, type, if_Code_integer: $o > code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_485, type, if_Code_natural: $o > code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_486, type, if_complex: $o > complex > complex > complex).
65.12/9.03	thf(func_def_487, type, if_Extended_enat: $o > extended_enat > extended_enat > extended_enat).
65.12/9.03	thf(func_def_488, type, if_int: $o > int > int > int).
65.12/9.03	thf(func_def_489, type, if_list_int: $o > list_int > list_int > list_int).
65.12/9.03	thf(func_def_490, type, if_list_nat: $o > list_nat > list_nat > list_nat).
65.12/9.03	thf(func_def_491, type, if_nat: $o > nat > nat > nat).
65.12/9.03	thf(func_def_492, type, if_num: $o > num > num > num).
65.12/9.03	thf(func_def_493, type, if_option_num: $o > option_num > option_num > option_num).
65.12/9.03	thf(func_def_494, type, if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o).
65.12/9.03	thf(func_def_495, type, if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_496, type, if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int).
65.12/9.03	thf(func_def_497, type, if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_498, type, if_rat: $o > rat > rat > rat).
65.12/9.03	thf(func_def_499, type, if_real: $o > real > real > real).
65.12/9.03	thf(func_def_500, type, if_set_int: $o > set_int > set_int > set_int).
65.12/9.03	thf(func_def_501, type, infini8530281810654367211te_nat: set_nat > nat > nat).
65.12/9.03	thf(func_def_502, type, abs_Integ: product_prod_nat_nat > int).
65.12/9.03	thf(func_def_503, type, neg: num > int).
65.12/9.03	thf(func_def_504, type, pos: num > int).
65.12/9.03	thf(func_def_505, type, rep_Integ: int > product_prod_nat_nat).
65.12/9.03	thf(func_def_506, type, cr_int: product_prod_nat_nat > int > $o).
65.12/9.03	thf(func_def_507, type, dup: int > int).
65.12/9.03	thf(func_def_508, type, int_ge_less_than: int > set_Pr958786334691620121nt_int).
65.12/9.03	thf(func_def_509, type, int_ge_less_than2: int > set_Pr958786334691620121nt_int).
65.12/9.03	thf(func_def_510, type, intrel: product_prod_nat_nat > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_511, type, nat2: int > nat).
65.12/9.03	thf(func_def_512, type, pcr_int: product_prod_nat_nat > int > $o).
65.12/9.03	thf(func_def_513, type, power_int_real: real > int > real).
65.12/9.03	thf(func_def_514, type, ring_11222124179247155820nteger: set_Code_integer).
65.12/9.03	thf(func_def_515, type, ring_1_Ints_complex: set_complex).
65.12/9.03	thf(func_def_516, type, ring_1_Ints_int: set_int).
65.12/9.03	thf(func_def_517, type, ring_1_Ints_rat: set_rat).
65.12/9.03	thf(func_def_518, type, ring_1_Ints_real: set_real).
65.12/9.03	thf(func_def_519, type, ring_18347121197199848620nteger: int > code_integer).
65.12/9.03	thf(func_def_520, type, ring_17405671764205052669omplex: int > complex).
65.12/9.03	thf(func_def_521, type, ring_1_of_int_int: int > int).
65.12/9.03	thf(func_def_522, type, ring_1_of_int_rat: int > rat).
65.12/9.03	thf(func_def_523, type, ring_1_of_int_real: int > real).
65.12/9.03	thf(func_def_524, type, sub: num > num > int).
65.12/9.03	thf(func_def_525, type, inf_inf_int: int > int > int).
65.12/9.03	thf(func_def_526, type, inf_inf_nat: nat > nat > nat).
65.12/9.03	thf(func_def_527, type, inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_528, type, semila9081495762789891438tr_nat: (nat > nat > nat) > nat > $o).
65.12/9.03	thf(func_def_529, type, semila1623282765462674594er_nat: (nat > nat > nat) > nat > (nat > nat > $o) > (nat > nat > $o) > $o).
65.12/9.03	thf(func_def_530, type, sup_sup_int: int > int > int).
65.12/9.03	thf(func_def_531, type, sup_sup_nat: nat > nat > nat).
65.12/9.03	thf(func_def_532, type, sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_533, type, lattic8263393255366662781ax_int: set_int > int).
65.12/9.03	thf(func_def_534, type, lattic8265883725875713057ax_nat: set_nat > nat).
65.12/9.03	thf(func_def_535, type, lattic7826324295020591184_F_nat: (nat > nat > nat) > nat > set_nat > nat).
65.12/9.03	thf(func_def_536, type, quotie3684837364556693515t_real: ((nat > rat) > (nat > rat) > $o) > ((nat > rat) > real) > (real > nat > rat) > ((nat > rat) > real > $o) > $o).
65.12/9.03	thf(func_def_537, type, quotie1194848508323700631at_int: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > int) > (int > product_prod_nat_nat) > (product_prod_nat_nat > int > $o) > $o).
65.12/9.03	thf(func_def_538, type, bfun_nat_real: (nat > real) > filter_nat > $o).
65.12/9.03	thf(func_def_539, type, append_int: list_int > list_int > list_int).
65.12/9.03	thf(func_def_540, type, append_nat: list_nat > list_nat > list_nat).
65.12/9.03	thf(func_def_541, type, fold_int_int: (int > int > int) > list_int > int > int).
65.12/9.03	thf(func_def_542, type, fold_nat_nat: (nat > nat > nat) > list_nat > nat > nat).
65.12/9.03	thf(func_def_543, type, last_nat: list_nat > nat).
65.12/9.03	thf(func_def_544, type, linord2614967742042102400et_nat: set_nat > list_nat).
65.12/9.03	thf(func_def_545, type, cons_int: int > list_int > list_int).
65.12/9.03	thf(func_def_546, type, cons_nat: nat > list_nat > list_nat).
65.12/9.03	thf(func_def_547, type, nil_int: list_int).
65.12/9.03	thf(func_def_548, type, nil_nat: list_nat).
65.12/9.03	thf(func_def_549, type, hd_nat: list_nat > nat).
65.12/9.03	thf(func_def_550, type, map_nat_nat: (nat > nat) > list_nat > list_nat).
65.12/9.03	thf(func_def_551, type, map_VE8901447254227204932T_VEBT: (vEBT_VEBT > vEBT_VEBT) > list_VEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_552, type, set_o2: list_o > set_o).
65.12/9.03	thf(func_def_553, type, set_complex2: list_complex > set_complex).
65.12/9.03	thf(func_def_554, type, set_int2: list_int > set_int).
65.12/9.03	thf(func_def_555, type, set_nat2: list_nat > set_nat).
65.12/9.03	thf(func_def_556, type, set_real2: list_real > set_real).
65.12/9.03	thf(func_def_557, type, set_set_nat2: list_set_nat > set_set_nat).
65.12/9.03	thf(func_def_558, type, set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT).
65.12/9.03	thf(func_def_559, type, size_list_VEBT_VEBT: (vEBT_VEBT > nat) > list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_560, type, tl_nat: list_nat > list_nat).
65.12/9.03	thf(func_def_561, type, nth_o: list_o > nat > $o).
65.12/9.03	thf(func_def_562, type, nth_complex: list_complex > nat > complex).
65.12/9.03	thf(func_def_563, type, nth_int: list_int > nat > int).
65.12/9.03	thf(func_def_564, type, nth_nat: list_nat > nat > nat).
65.12/9.03	thf(func_def_565, type, nth_num: list_num > nat > num).
65.12/9.03	thf(func_def_566, type, nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o).
65.12/9.03	thf(func_def_567, type, nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int).
65.12/9.03	thf(func_def_568, type, nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat).
65.12/9.03	thf(func_def_569, type, nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT).
65.12/9.03	thf(func_def_570, type, nth_Pr8326237132889035090at_num: list_P1726324292696863441at_num > nat > product_prod_nat_num).
65.12/9.03	thf(func_def_571, type, nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num).
65.12/9.03	thf(func_def_572, type, nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o).
65.12/9.03	thf(func_def_573, type, nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int).
65.12/9.03	thf(func_def_574, type, nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat).
65.12/9.03	thf(func_def_575, type, nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT).
65.12/9.03	thf(func_def_576, type, nth_real: list_real > nat > real).
65.12/9.03	thf(func_def_577, type, nth_set_nat: list_set_nat > nat > set_nat).
65.12/9.03	thf(func_def_578, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_579, type, product_o_o: list_o > list_o > list_P4002435161011370285od_o_o).
65.12/9.03	thf(func_def_580, type, product_o_int: list_o > list_int > list_P3795440434834930179_o_int).
65.12/9.03	thf(func_def_581, type, product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat).
65.12/9.03	thf(func_def_582, type, product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT).
65.12/9.03	thf(func_def_583, type, product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o).
65.12/9.03	thf(func_def_584, type, product_nat_num: list_nat > list_num > list_P1726324292696863441at_num).
65.12/9.03	thf(func_def_585, type, produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT).
65.12/9.03	thf(func_def_586, type, product_num_num: list_num > list_num > list_P3744719386663036955um_num).
65.12/9.03	thf(func_def_587, type, product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o).
65.12/9.03	thf(func_def_588, type, produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int).
65.12/9.03	thf(func_def_589, type, produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat).
65.12/9.03	thf(func_def_590, type, produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT).
65.12/9.03	thf(func_def_591, type, replicate_o: nat > $o > list_o).
65.12/9.03	thf(func_def_592, type, replicate_complex: nat > complex > list_complex).
65.12/9.03	thf(func_def_593, type, replicate_int: nat > int > list_int).
65.12/9.03	thf(func_def_594, type, replicate_nat: nat > nat > list_nat).
65.12/9.03	thf(func_def_595, type, replicate_real: nat > real > list_real).
65.12/9.03	thf(func_def_596, type, replicate_set_nat: nat > set_nat > list_set_nat).
65.12/9.03	thf(func_def_597, type, replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_598, type, rotate1_o: list_o > list_o).
65.12/9.03	thf(func_def_599, type, rotate1_int: list_int > list_int).
65.12/9.03	thf(func_def_600, type, rotate1_nat: list_nat > list_nat).
65.12/9.03	thf(func_def_601, type, rotate1_VEBT_VEBT: list_VEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_602, type, sorted_wrt_int: (int > int > $o) > list_int > $o).
65.12/9.03	thf(func_def_603, type, sorted_wrt_nat: (nat > nat > $o) > list_nat > $o).
65.12/9.03	thf(func_def_604, type, take_VEBT_VEBT: nat > list_VEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_605, type, upt: nat > nat > list_nat).
65.12/9.03	thf(func_def_606, type, upto: int > int > list_int).
65.12/9.03	thf(func_def_607, type, upto_aux: int > int > list_int > list_int).
65.12/9.03	thf(func_def_608, type, upto_rel: product_prod_int_int > product_prod_int_int > $o).
65.12/9.03	thf(func_def_609, type, suc: nat > nat).
65.12/9.03	thf(func_def_610, type, compow_nat_nat: nat > (nat > nat) > nat > nat).
65.12/9.03	thf(func_def_611, type, case_nat_o: $o > (nat > $o) > nat > $o).
65.12/9.03	thf(func_def_612, type, case_nat_nat: nat > (nat > nat) > nat > nat).
65.12/9.03	thf(func_def_613, type, case_nat_option_num: option_num > (nat > option_num) > nat > option_num).
65.12/9.03	thf(func_def_614, type, pred: nat > nat).
65.12/9.03	thf(func_def_615, type, semiring_1_Nats_int: set_int).
65.12/9.03	thf(func_def_616, type, semiri4939895301339042750nteger: nat > code_integer).
65.12/9.03	thf(func_def_617, type, semiri3763490453095760265atural: nat > code_natural).
65.12/9.03	thf(func_def_618, type, semiri8010041392384452111omplex: nat > complex).
65.12/9.03	thf(func_def_619, type, semiri1314217659103216013at_int: nat > int).
65.12/9.03	thf(func_def_620, type, semiri1316708129612266289at_nat: nat > nat).
65.12/9.03	thf(func_def_621, type, semiri681578069525770553at_rat: nat > rat).
65.12/9.03	thf(func_def_622, type, semiri5074537144036343181t_real: nat > real).
65.12/9.03	thf(func_def_623, type, size_size_list_o: list_o > nat).
65.12/9.03	thf(func_def_624, type, size_s3451745648224563538omplex: list_complex > nat).
65.12/9.03	thf(func_def_625, type, size_size_list_int: list_int > nat).
65.12/9.03	thf(func_def_626, type, size_size_list_nat: list_nat > nat).
65.12/9.03	thf(func_def_627, type, size_size_list_num: list_num > nat).
65.12/9.03	thf(func_def_628, type, size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat).
65.12/9.03	thf(func_def_629, type, size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat).
65.12/9.03	thf(func_def_630, type, size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat).
65.12/9.03	thf(func_def_631, type, size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat).
65.12/9.03	thf(func_def_632, type, size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat).
65.12/9.03	thf(func_def_633, type, size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat).
65.12/9.03	thf(func_def_634, type, size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat).
65.12/9.03	thf(func_def_635, type, size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat).
65.12/9.03	thf(func_def_636, type, size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat).
65.12/9.03	thf(func_def_637, type, size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat).
65.12/9.03	thf(func_def_638, type, size_size_list_real: list_real > nat).
65.12/9.03	thf(func_def_639, type, size_s3254054031482475050et_nat: list_set_nat > nat).
65.12/9.03	thf(func_def_640, type, size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_641, type, size_size_num: num > nat).
65.12/9.03	thf(func_def_642, type, size_size_option_num: option_num > nat).
65.12/9.03	thf(func_def_643, type, size_s170228958280169651at_nat: option4927543243414619207at_nat > nat).
65.12/9.03	thf(func_def_644, type, size_size_char: char > nat).
65.12/9.03	thf(func_def_645, type, size_size_VEBT_VEBT: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_646, type, nat_int_decode: nat > int).
65.12/9.03	thf(func_def_647, type, nat_int_encode: int > nat).
65.12/9.03	thf(func_def_648, type, nat_list_decode: nat > list_nat).
65.12/9.03	thf(func_def_649, type, nat_list_decode_rel: nat > nat > $o).
65.12/9.03	thf(func_def_650, type, nat_list_encode: list_nat > nat).
65.12/9.03	thf(func_def_651, type, nat_list_encode_rel: list_nat > list_nat > $o).
65.12/9.03	thf(func_def_652, type, nat_prod_decode: nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_653, type, nat_prod_decode_aux: nat > nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_654, type, nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_655, type, nat_prod_encode: product_prod_nat_nat > nat).
65.12/9.03	thf(func_def_656, type, nat_set_decode: nat > set_nat).
65.12/9.03	thf(func_def_657, type, nat_set_encode: set_nat > nat).
65.12/9.03	thf(func_def_658, type, nat_triangle: nat > nat).
65.12/9.03	thf(func_def_659, type, root: nat > real > real).
65.12/9.03	thf(func_def_660, type, sqrt: real > real).
65.12/9.03	thf(func_def_661, type, bitM: num > num).
65.12/9.03	thf(func_def_662, type, inc: num > num).
65.12/9.03	thf(func_def_663, type, nat_of_num: num > nat).
65.12/9.03	thf(func_def_664, type, neg_nu8804712462038260780nteger: code_integer > code_integer).
65.12/9.03	thf(func_def_665, type, neg_nu7009210354673126013omplex: complex > complex).
65.12/9.03	thf(func_def_666, type, neg_numeral_dbl_int: int > int).
65.12/9.03	thf(func_def_667, type, neg_numeral_dbl_rat: rat > rat).
65.12/9.03	thf(func_def_668, type, neg_numeral_dbl_real: real > real).
65.12/9.03	thf(func_def_669, type, neg_nu7757733837767384882nteger: code_integer > code_integer).
65.12/9.03	thf(func_def_670, type, neg_nu6511756317524482435omplex: complex > complex).
65.12/9.03	thf(func_def_671, type, neg_nu3811975205180677377ec_int: int > int).
65.12/9.03	thf(func_def_672, type, neg_nu3179335615603231917ec_rat: rat > rat).
65.12/9.03	thf(func_def_673, type, neg_nu6075765906172075777c_real: real > real).
65.12/9.03	thf(func_def_674, type, neg_nu5831290666863070958nteger: code_integer > code_integer).
65.12/9.03	thf(func_def_675, type, neg_nu8557863876264182079omplex: complex > complex).
65.12/9.03	thf(func_def_676, type, neg_nu5851722552734809277nc_int: int > int).
65.12/9.03	thf(func_def_677, type, neg_nu5219082963157363817nc_rat: rat > rat).
65.12/9.03	thf(func_def_678, type, neg_nu8295874005876285629c_real: real > real).
65.12/9.03	thf(func_def_679, type, neg_numeral_sub_int: num > num > int).
65.12/9.03	thf(func_def_680, type, bit0: num > num).
65.12/9.03	thf(func_def_681, type, bit1: num > num).
65.12/9.03	thf(func_def_682, type, one: num).
65.12/9.03	thf(func_def_683, type, case_num_option_num: option_num > (num > option_num) > (num > option_num) > num > option_num).
65.12/9.03	thf(func_def_684, type, size_num: num > nat).
65.12/9.03	thf(func_def_685, type, num_of_nat: nat > num).
65.12/9.03	thf(func_def_686, type, numera6620942414471956472nteger: num > code_integer).
65.12/9.03	thf(func_def_687, type, numera5444537566228673987atural: num > code_natural).
65.12/9.03	thf(func_def_688, type, numera6690914467698888265omplex: num > complex).
65.12/9.03	thf(func_def_689, type, numera1916890842035813515d_enat: num > extended_enat).
65.12/9.03	thf(func_def_690, type, numeral_numeral_int: num > int).
65.12/9.03	thf(func_def_691, type, numeral_numeral_nat: num > nat).
65.12/9.03	thf(func_def_692, type, numeral_numeral_rat: num > rat).
65.12/9.03	thf(func_def_693, type, numeral_numeral_real: num > real).
65.12/9.03	thf(func_def_694, type, pow: num > num > num).
65.12/9.03	thf(func_def_695, type, pred_numeral: num > nat).
65.12/9.03	thf(func_def_696, type, sqr: num > num).
65.12/9.03	thf(func_def_697, type, none_num: option_num).
65.12/9.03	thf(func_def_698, type, none_P5556105721700978146at_nat: option4927543243414619207at_nat).
65.12/9.03	thf(func_def_699, type, some_num: num > option_num).
65.12/9.03	thf(func_def_700, type, some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat).
65.12/9.03	thf(func_def_701, type, case_o184042715313410164at_nat: $o > (product_prod_nat_nat > $o) > option4927543243414619207at_nat > $o).
65.12/9.03	thf(func_def_702, type, case_option_int_num: int > (num > int) > option_num > int).
65.12/9.03	thf(func_def_703, type, case_option_num_num: num > (num > num) > option_num > num).
65.12/9.03	thf(func_def_704, type, case_o6005452278849405969um_num: option_num > (num > option_num) > option_num > option_num).
65.12/9.03	thf(func_def_705, type, map_option_num_num: (num > num) > option_num > option_num).
65.12/9.03	thf(func_def_706, type, size_option_num: (num > nat) > option_num > nat).
65.12/9.03	thf(func_def_707, type, size_o8335143837870341156at_nat: (product_prod_nat_nat > nat) > option4927543243414619207at_nat > nat).
65.12/9.03	thf(func_def_708, type, order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat).
65.12/9.03	thf(func_def_709, type, order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_710, type, bot_bot_nat_o: nat > $o).
65.12/9.03	thf(func_def_711, type, bot_bot_nat: nat).
65.12/9.03	thf(func_def_712, type, bot_bot_set_complex: set_complex).
65.12/9.03	thf(func_def_713, type, bot_bot_set_int: set_int).
65.12/9.03	thf(func_def_714, type, bot_bot_set_nat: set_nat).
65.12/9.03	thf(func_def_715, type, bot_bot_set_num: set_num).
65.12/9.03	thf(func_def_716, type, bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_717, type, bot_bot_set_rat: set_rat).
65.12/9.03	thf(func_def_718, type, bot_bot_set_real: set_real).
65.12/9.03	thf(func_def_719, type, bot_bot_set_set_nat: set_set_nat).
65.12/9.03	thf(func_def_720, type, bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT).
65.12/9.03	thf(func_def_721, type, ord_Least_nat: (nat > $o) > nat).
65.12/9.03	thf(func_def_722, type, ord_Least_real: (real > $o) > real).
65.12/9.03	thf(func_def_723, type, ord_le6747313008572928689nteger: code_integer > code_integer > $o).
65.12/9.03	thf(func_def_724, type, ord_le5570908160329646204atural: code_natural > code_natural > $o).
65.12/9.03	thf(func_def_725, type, ord_le72135733267957522d_enat: extended_enat > extended_enat > $o).
65.12/9.03	thf(func_def_726, type, ord_less_int: int > int > $o).
65.12/9.03	thf(func_def_727, type, ord_less_nat: nat > nat > $o).
65.12/9.03	thf(func_def_728, type, ord_less_num: num > num > $o).
65.12/9.03	thf(func_def_729, type, ord_less_rat: rat > rat > $o).
65.12/9.03	thf(func_def_730, type, ord_less_real: real > real > $o).
65.12/9.03	thf(func_def_731, type, ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o).
65.12/9.03	thf(func_def_732, type, ord_less_set_complex: set_complex > set_complex > $o).
65.12/9.03	thf(func_def_733, type, ord_less_set_int: set_int > set_int > $o).
65.12/9.03	thf(func_def_734, type, ord_less_set_nat: set_nat > set_nat > $o).
65.12/9.03	thf(func_def_735, type, ord_less_set_num: set_num > set_num > $o).
65.12/9.03	thf(func_def_736, type, ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_737, type, ord_less_set_rat: set_rat > set_rat > $o).
65.12/9.03	thf(func_def_738, type, ord_less_set_real: set_real > set_real > $o).
65.12/9.03	thf(func_def_739, type, ord_less_set_set_nat: set_set_nat > set_set_nat > $o).
65.12/9.03	thf(func_def_740, type, ord_le3102999989581377725nteger: code_integer > code_integer > $o).
65.12/9.03	thf(func_def_741, type, ord_le1926595141338095240atural: code_natural > code_natural > $o).
65.12/9.03	thf(func_def_742, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o).
65.12/9.03	thf(func_def_743, type, ord_less_eq_int: int > int > $o).
65.12/9.03	thf(func_def_744, type, ord_less_eq_nat: nat > nat > $o).
65.12/9.03	thf(func_def_745, type, ord_less_eq_num: num > num > $o).
65.12/9.03	thf(func_def_746, type, ord_less_eq_rat: rat > rat > $o).
65.12/9.03	thf(func_def_747, type, ord_less_eq_real: real > real > $o).
65.12/9.03	thf(func_def_748, type, ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o).
65.12/9.03	thf(func_def_749, type, ord_le211207098394363844omplex: set_complex > set_complex > $o).
65.12/9.03	thf(func_def_750, type, ord_less_eq_set_int: set_int > set_int > $o).
65.12/9.03	thf(func_def_751, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
65.12/9.03	thf(func_def_752, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_753, type, ord_less_eq_set_real: set_real > set_real > $o).
65.12/9.03	thf(func_def_754, type, ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o).
65.12/9.03	thf(func_def_755, type, ord_max_int: int > int > int).
65.12/9.03	thf(func_def_756, type, ord_max_nat: nat > nat > nat).
65.12/9.03	thf(func_def_757, type, ord_min_int: int > int > int).
65.12/9.03	thf(func_def_758, type, ord_min_nat: nat > nat > nat).
65.12/9.03	thf(func_def_759, type, order_mono_nat_nat: (nat > nat) > $o).
65.12/9.03	thf(func_def_760, type, order_5726023648592871131at_nat: (nat > nat) > $o).
65.12/9.03	thf(func_def_761, type, order_7092887310737990675l_real: (real > real) > $o).
65.12/9.03	thf(func_def_762, type, ordering_top_nat: (nat > nat > $o) > (nat > nat > $o) > nat > $o).
65.12/9.03	thf(func_def_763, type, top_top_set_int: set_int).
65.12/9.03	thf(func_def_764, type, top_top_set_list_nat: set_list_nat).
65.12/9.03	thf(func_def_765, type, top_top_set_nat: set_nat).
65.12/9.03	thf(func_def_766, type, top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_767, type, top_to1996260823553986621t_unit: set_Product_unit).
65.12/9.03	thf(func_def_768, type, top_top_set_real: set_real).
65.12/9.03	thf(func_def_769, type, top_top_set_char: set_char).
65.12/9.03	thf(func_def_770, type, power_8256067586552552935nteger: code_integer > nat > code_integer).
65.12/9.03	thf(func_def_771, type, power_7079662738309270450atural: code_natural > nat > code_natural).
65.12/9.03	thf(func_def_772, type, power_power_complex: complex > nat > complex).
65.12/9.03	thf(func_def_773, type, power_power_int: int > nat > int).
65.12/9.03	thf(func_def_774, type, power_power_nat: nat > nat > nat).
65.12/9.03	thf(func_def_775, type, power_power_rat: rat > nat > rat).
65.12/9.03	thf(func_def_776, type, power_power_real: real > nat > real).
65.12/9.03	thf(func_def_777, type, product_Pair_o_o: $o > $o > product_prod_o_o).
65.12/9.03	thf(func_def_778, type, product_Pair_o_int: $o > int > product_prod_o_int).
65.12/9.03	thf(func_def_779, type, product_Pair_o_nat: $o > nat > product_prod_o_nat).
65.12/9.03	thf(func_def_780, type, produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT).
65.12/9.03	thf(func_def_781, type, produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o).
65.12/9.03	thf(func_def_782, type, produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_783, type, produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural).
65.12/9.03	thf(func_def_784, type, produc6639722614265839536atural: code_natural > produc7822875418678951345atural > produc5835291356934675326atural).
65.12/9.03	thf(func_def_785, type, product_Pair_int_int: int > int > product_prod_int_int).
65.12/9.03	thf(func_def_786, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_787, type, product_Pair_nat_num: nat > num > product_prod_nat_num).
65.12/9.03	thf(func_def_788, type, product_Pair_num_num: num > num > product_prod_num_num).
65.12/9.03	thf(func_def_789, type, produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat).
65.12/9.03	thf(func_def_790, type, produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o).
65.12/9.03	thf(func_def_791, type, produc581526299967858633d_enat: vEBT_VEBT > extended_enat > produc7272778201969148633d_enat).
65.12/9.03	thf(func_def_792, type, produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int).
65.12/9.03	thf(func_def_793, type, produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat).
65.12/9.03	thf(func_def_794, type, produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT).
65.12/9.03	thf(func_def_795, type, produc457027306803732586at_nat: set_nat > (nat > set_nat) > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_796, type, produc6499014454317279255nteger: (code_integer > code_integer) > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_797, type, produc1553301316500091796er_int: (code_integer > code_integer > int) > produc8923325533196201883nteger > int).
65.12/9.03	thf(func_def_798, type, produc1555791787009142072er_nat: (code_integer > code_integer > nat) > produc8923325533196201883nteger > nat).
65.12/9.03	thf(func_def_799, type, produc7336495610019696514er_num: (code_integer > code_integer > num) > produc8923325533196201883nteger > num).
65.12/9.03	thf(func_def_800, type, produc9125791028180074456eger_o: (code_integer > code_integer > produc6271795597528267376eger_o) > produc8923325533196201883nteger > produc6271795597528267376eger_o).
65.12/9.03	thf(func_def_801, type, produc6916734918728496179nteger: (code_integer > code_integer > produc8923325533196201883nteger) > produc8923325533196201883nteger > produc8923325533196201883nteger).
65.12/9.03	thf(func_def_802, type, produc4947309494688390418_int_o: (int > int > $o) > product_prod_int_int > $o).
65.12/9.03	thf(func_def_803, type, produc8211389475949308722nt_int: (int > int > int) > product_prod_int_int > int).
65.12/9.03	thf(func_def_804, type, produc4245557441103728435nt_int: (int > int > product_prod_int_int) > product_prod_int_int > product_prod_int_int).
65.12/9.03	thf(func_def_805, type, produc8739625826339149834_nat_o: (nat > nat > product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_806, type, produc27273713700761075at_nat: (nat > nat > product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_807, type, produc6081775807080527818_nat_o: (nat > nat > $o) > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_808, type, produc2761476792215241774st_nat: (nat > nat > list_nat) > product_prod_nat_nat > list_nat).
65.12/9.03	thf(func_def_809, type, produc6842872674320459806at_nat: (nat > nat > nat) > product_prod_nat_nat > nat).
65.12/9.03	thf(func_def_810, type, produc2626176000494625587at_nat: (nat > nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat).
65.12/9.03	thf(func_def_811, type, produc478579273971653890on_num: (nat > num > option_num) > product_prod_nat_num > option_num).
65.12/9.03	thf(func_def_812, type, produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer).
65.12/9.03	thf(func_def_813, type, product_fst_int_int: product_prod_int_int > int).
65.12/9.03	thf(func_def_814, type, product_fst_nat_nat: product_prod_nat_nat > nat).
65.12/9.03	thf(func_def_815, type, produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer).
65.12/9.03	thf(func_def_816, type, product_snd_int_int: product_prod_int_int > int).
65.12/9.03	thf(func_def_817, type, product_snd_nat_nat: product_prod_nat_nat > nat).
65.12/9.03	thf(func_def_818, type, produc5538323210962509403atural: (produc7822875418678951345atural > produc5835291356934675326atural) > (code_natural > produc7822875418678951345atural > produc5835291356934675326atural) > produc7822875418678951345atural > produc5835291356934675326atural).
65.12/9.03	thf(func_def_819, type, quotie8700032322157300518t_real: ((nat > rat) > (nat > rat) > $o) > ((nat > rat) > real) > (real > nat > rat) > $o).
65.12/9.03	thf(func_def_820, type, quotie6776551016481293500at_int: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > int) > (int > product_prod_nat_nat) > $o).
65.12/9.03	thf(func_def_821, type, inc_shift: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_822, type, iterat8892046348760725948atural: code_natural > (code_natural > produc7822875418678951345atural > produc5835291356934675326atural) > code_natural > produc7822875418678951345atural > produc5835291356934675326atural).
65.12/9.03	thf(func_def_823, type, log: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_824, type, log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o).
65.12/9.03	thf(func_def_825, type, minus_shift: code_natural > code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_826, type, next: produc7822875418678951345atural > produc5835291356934675326atural).
65.12/9.03	thf(func_def_827, type, range: code_natural > produc7822875418678951345atural > produc5835291356934675326atural).
65.12/9.03	thf(func_def_828, type, abs_Rat: product_prod_int_int > rat).
65.12/9.03	thf(func_def_829, type, fract: int > int > rat).
65.12/9.03	thf(func_def_830, type, frct: product_prod_int_int > rat).
65.12/9.03	thf(func_def_831, type, rep_Rat: rat > product_prod_int_int).
65.12/9.03	thf(func_def_832, type, field_5140801741446780682s_real: set_real).
65.12/9.03	thf(func_def_833, type, field_7254667332652039916t_real: rat > real).
65.12/9.03	thf(func_def_834, type, normalize: product_prod_int_int > product_prod_int_int).
65.12/9.03	thf(func_def_835, type, of_int: int > rat).
65.12/9.03	thf(func_def_836, type, pcr_rat: product_prod_int_int > rat > $o).
65.12/9.03	thf(func_def_837, type, positive: rat > $o).
65.12/9.03	thf(func_def_838, type, quotient_of: rat > product_prod_int_int).
65.12/9.03	thf(func_def_839, type, ratrel: product_prod_int_int > product_prod_int_int > $o).
65.12/9.03	thf(func_def_840, type, ratreal: rat > real).
65.12/9.03	thf(func_def_841, type, real2: (nat > rat) > real).
65.12/9.03	thf(func_def_842, type, cauchy: (nat > rat) > $o).
65.12/9.03	thf(func_def_843, type, cr_real: (nat > rat) > real > $o).
65.12/9.03	thf(func_def_844, type, pcr_real: (nat > rat) > real > $o).
65.12/9.03	thf(func_def_845, type, positive2: real > $o).
65.12/9.03	thf(func_def_846, type, realrel: (nat > rat) > (nat > rat) > $o).
65.12/9.03	thf(func_def_847, type, rep_real: real > nat > rat).
65.12/9.03	thf(func_def_848, type, vanishes: (nat > rat) > $o).
65.12/9.03	thf(func_def_849, type, real_V2521375963428798218omplex: set_complex).
65.12/9.03	thf(func_def_850, type, real_V3694042436643373181omplex: complex > complex > real).
65.12/9.03	thf(func_def_851, type, real_V975177566351809787t_real: real > real > real).
65.12/9.03	thf(func_def_852, type, real_V1022390504157884413omplex: complex > real).
65.12/9.03	thf(func_def_853, type, real_V7735802525324610683m_real: real > real).
65.12/9.03	thf(func_def_854, type, real_V4546457046886955230omplex: real > complex).
65.12/9.03	thf(func_def_855, type, real_V1803761363581548252l_real: real > real).
65.12/9.03	thf(func_def_856, type, field_nat: set_Pr1261947904930325089at_nat > set_nat).
65.12/9.03	thf(func_def_857, type, id_nat2: set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_858, type, transp_nat_rat: ((nat > rat) > (nat > rat) > $o) > $o).
65.12/9.03	thf(func_def_859, type, algebr932160517623751201me_int: int > int > $o).
65.12/9.03	thf(func_def_860, type, algebr934650988132801477me_nat: nat > nat > $o).
65.12/9.03	thf(func_def_861, type, divide6298287555418463151nteger: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_862, type, divide5121882707175180666atural: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_863, type, divide1717551699836669952omplex: complex > complex > complex).
65.12/9.03	thf(func_def_864, type, divide_divide_int: int > int > int).
65.12/9.03	thf(func_def_865, type, divide_divide_nat: nat > nat > nat).
65.12/9.03	thf(func_def_866, type, divide_divide_rat: rat > rat > rat).
65.12/9.03	thf(func_def_867, type, divide_divide_real: real > real > real).
65.12/9.03	thf(func_def_868, type, dvd_dvd_Code_integer: code_integer > code_integer > $o).
65.12/9.03	thf(func_def_869, type, dvd_dvd_Code_natural: code_natural > code_natural > $o).
65.12/9.03	thf(func_def_870, type, dvd_dvd_complex: complex > complex > $o).
65.12/9.03	thf(func_def_871, type, dvd_dvd_int: int > int > $o).
65.12/9.03	thf(func_def_872, type, dvd_dvd_nat: nat > nat > $o).
65.12/9.03	thf(func_def_873, type, dvd_dvd_rat: rat > rat > $o).
65.12/9.03	thf(func_def_874, type, dvd_dvd_real: real > real > $o).
65.12/9.03	thf(func_def_875, type, modulo364778990260209775nteger: code_integer > code_integer > code_integer).
65.12/9.03	thf(func_def_876, type, modulo8411746178871703098atural: code_natural > code_natural > code_natural).
65.12/9.03	thf(func_def_877, type, modulo_modulo_int: int > int > int).
65.12/9.03	thf(func_def_878, type, modulo_modulo_nat: nat > nat > nat).
65.12/9.03	thf(func_def_879, type, unit_f2748546683901255202or_nat: nat > nat).
65.12/9.03	thf(func_def_880, type, zero_n356916108424825756nteger: $o > code_integer).
65.12/9.03	thf(func_def_881, type, zero_n8403883297036319079atural: $o > code_natural).
65.12/9.03	thf(func_def_882, type, zero_n1201886186963655149omplex: $o > complex).
65.12/9.03	thf(func_def_883, type, zero_n2684676970156552555ol_int: $o > int).
65.12/9.03	thf(func_def_884, type, zero_n2687167440665602831ol_nat: $o > nat).
65.12/9.03	thf(func_def_885, type, zero_n2052037380579107095ol_rat: $o > rat).
65.12/9.03	thf(func_def_886, type, zero_n3304061248610475627l_real: $o > real).
65.12/9.03	thf(func_def_887, type, suminf_complex: (nat > complex) > complex).
65.12/9.03	thf(func_def_888, type, suminf_int: (nat > int) > int).
65.12/9.03	thf(func_def_889, type, suminf_nat: (nat > nat) > nat).
65.12/9.03	thf(func_def_890, type, suminf_real: (nat > real) > real).
65.12/9.03	thf(func_def_891, type, summable_complex: (nat > complex) > $o).
65.12/9.03	thf(func_def_892, type, summable_int: (nat > int) > $o).
65.12/9.03	thf(func_def_893, type, summable_nat: (nat > nat) > $o).
65.12/9.03	thf(func_def_894, type, summable_real: (nat > real) > $o).
65.12/9.03	thf(func_def_895, type, sums_complex: (nat > complex) > complex > $o).
65.12/9.03	thf(func_def_896, type, sums_int: (nat > int) > int > $o).
65.12/9.03	thf(func_def_897, type, sums_nat: (nat > nat) > nat > $o).
65.12/9.03	thf(func_def_898, type, sums_real: (nat > real) > real > $o).
65.12/9.03	thf(func_def_899, type, collect_Code_integer: (code_integer > $o) > set_Code_integer).
65.12/9.03	thf(func_def_900, type, collect_complex: (complex > $o) > set_complex).
65.12/9.03	thf(func_def_901, type, collect_int: (int > $o) > set_int).
65.12/9.03	thf(func_def_902, type, collect_list_nat: (list_nat > $o) > set_list_nat).
65.12/9.03	thf(func_def_903, type, collect_nat: (nat > $o) > set_nat).
65.12/9.03	thf(func_def_904, type, collec213857154873943460nt_int: (product_prod_int_int > $o) > set_Pr958786334691620121nt_int).
65.12/9.03	thf(func_def_905, type, collec3392354462482085612at_nat: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_906, type, collect_real: (real > $o) > set_real).
65.12/9.03	thf(func_def_907, type, collect_set_nat: (set_nat > $o) > set_set_nat).
65.12/9.03	thf(func_def_908, type, pow_nat: set_nat > set_set_nat).
65.12/9.03	thf(func_def_909, type, image_int_int: (int > int) > set_int > set_int).
65.12/9.03	thf(func_def_910, type, image_int_nat: (int > nat) > set_int > set_nat).
65.12/9.03	thf(func_def_911, type, image_list_nat_nat: (list_nat > nat) > set_list_nat > set_nat).
65.12/9.03	thf(func_def_912, type, image_nat_int: (nat > int) > set_nat > set_int).
65.12/9.03	thf(func_def_913, type, image_nat_list_nat: (nat > list_nat) > set_nat > set_list_nat).
65.12/9.03	thf(func_def_914, type, image_nat_nat: (nat > nat) > set_nat > set_nat).
65.12/9.03	thf(func_def_915, type, image_5846123807819985514at_nat: (nat > product_prod_nat_nat) > set_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_916, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat).
65.12/9.03	thf(func_def_917, type, image_nat_char: (nat > char) > set_nat > set_char).
65.12/9.03	thf(func_def_918, type, image_2486076414777270412at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > set_nat).
65.12/9.03	thf(func_def_919, type, image_real_real: (real > real) > set_real > set_real).
65.12/9.03	thf(func_def_920, type, image_char_nat: (char > nat) > set_char > set_nat).
65.12/9.03	thf(func_def_921, type, insert_complex: complex > set_complex > set_complex).
65.12/9.03	thf(func_def_922, type, insert_int: int > set_int > set_int).
65.12/9.03	thf(func_def_923, type, insert_nat: nat > set_nat > set_nat).
65.12/9.03	thf(func_def_924, type, insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_925, type, insert_real: real > set_real > set_real).
65.12/9.03	thf(func_def_926, type, insert_set_nat: set_nat > set_set_nat > set_set_nat).
65.12/9.03	thf(func_def_927, type, insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT).
65.12/9.03	thf(func_def_928, type, vimage_nat_nat: (nat > nat) > set_nat > set_nat).
65.12/9.03	thf(func_def_929, type, set_fo1517530859248394432omplex: (nat > complex > complex) > nat > nat > complex > complex).
65.12/9.03	thf(func_def_930, type, set_fo2581907887559384638at_int: (nat > int > int) > nat > nat > int > int).
65.12/9.03	thf(func_def_931, type, set_fo2584398358068434914at_nat: (nat > nat > nat) > nat > nat > nat > nat).
65.12/9.03	thf(func_def_932, type, set_fo1949268297981939178at_rat: (nat > rat > rat) > nat > nat > rat > rat).
65.12/9.03	thf(func_def_933, type, set_fo3111899725591712190t_real: (nat > real > real) > nat > nat > real > real).
65.12/9.03	thf(func_def_934, type, set_or1266510415728281911st_int: int > int > set_int).
65.12/9.03	thf(func_def_935, type, set_or1269000886237332187st_nat: nat > nat > set_nat).
65.12/9.03	thf(func_def_936, type, set_or7049704709247886629st_num: num > num > set_num).
65.12/9.03	thf(func_def_937, type, set_or633870826150836451st_rat: rat > rat > set_rat).
65.12/9.03	thf(func_def_938, type, set_or1222579329274155063t_real: real > real > set_real).
65.12/9.03	thf(func_def_939, type, set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat).
65.12/9.03	thf(func_def_940, type, set_or4662586982721622107an_int: int > int > set_int).
65.12/9.03	thf(func_def_941, type, set_or4665077453230672383an_nat: nat > nat > set_nat).
65.12/9.03	thf(func_def_942, type, set_ord_atLeast_nat: nat > set_nat).
65.12/9.03	thf(func_def_943, type, set_ord_atLeast_real: real > set_real).
65.12/9.03	thf(func_def_944, type, set_ord_atMost_nat: nat > set_nat).
65.12/9.03	thf(func_def_945, type, set_or6656581121297822940st_int: int > int > set_int).
65.12/9.03	thf(func_def_946, type, set_or6659071591806873216st_nat: nat > nat > set_nat).
65.12/9.03	thf(func_def_947, type, set_or5832277885323065728an_int: int > int > set_int).
65.12/9.03	thf(func_def_948, type, set_or5834768355832116004an_nat: nat > nat > set_nat).
65.12/9.03	thf(func_def_949, type, set_or1633881224788618240n_real: real > real > set_real).
65.12/9.03	thf(func_def_950, type, set_or1210151606488870762an_nat: nat > set_nat).
65.12/9.03	thf(func_def_951, type, set_or5849166863359141190n_real: real > set_real).
65.12/9.03	thf(func_def_952, type, set_ord_lessThan_nat: nat > set_nat).
65.12/9.03	thf(func_def_953, type, set_or5984915006950818249n_real: real > set_real).
65.12/9.03	thf(func_def_954, type, abort_real: literal > (product_unit > real) > real).
65.12/9.03	thf(func_def_955, type, literal2: $o > $o > $o > $o > $o > $o > $o > literal > literal).
65.12/9.03	thf(func_def_956, type, char2: $o > $o > $o > $o > $o > $o > $o > $o > char).
65.12/9.03	thf(func_def_957, type, size_char: char > nat).
65.12/9.03	thf(func_def_958, type, comm_s629917340098488124ar_nat: char > nat).
65.12/9.03	thf(func_def_959, type, unique3096191561947761185of_nat: nat > char).
65.12/9.03	thf(func_def_960, type, topolo4422821103128117721l_real: filter_real > (real > real) > $o).
65.12/9.03	thf(func_def_961, type, topolo5044208981011980120l_real: set_real > (real > real) > $o).
65.12/9.03	thf(func_def_962, type, topolo6980174941875973593q_real: (nat > real) > $o).
65.12/9.03	thf(func_def_963, type, topolo2177554685111907308n_real: real > set_real > filter_real).
65.12/9.03	thf(func_def_964, type, topolo7531315842566124627t_real: (nat > real) > $o).
65.12/9.03	thf(func_def_965, type, topolo2815343760600316023s_real: real > filter_real).
65.12/9.03	thf(func_def_966, type, topolo6517432010174082258omplex: (nat > complex) > $o).
65.12/9.03	thf(func_def_967, type, topolo4055970368930404560y_real: (nat > real) > $o).
65.12/9.03	thf(func_def_968, type, arccos: real > real).
65.12/9.03	thf(func_def_969, type, arcosh_real: real > real).
65.12/9.03	thf(func_def_970, type, arcsin: real > real).
65.12/9.03	thf(func_def_971, type, arctan: real > real).
65.12/9.03	thf(func_def_972, type, arsinh_real: real > real).
65.12/9.03	thf(func_def_973, type, artanh_real: real > real).
65.12/9.03	thf(func_def_974, type, cos_complex: complex > complex).
65.12/9.03	thf(func_def_975, type, cos_real: real > real).
65.12/9.03	thf(func_def_976, type, cos_coeff: nat > real).
65.12/9.03	thf(func_def_977, type, cosh_complex: complex > complex).
65.12/9.03	thf(func_def_978, type, cosh_real: real > real).
65.12/9.03	thf(func_def_979, type, cot_complex: complex > complex).
65.12/9.03	thf(func_def_980, type, cot_real: real > real).
65.12/9.03	thf(func_def_981, type, diffs_real: (nat > real) > nat > real).
65.12/9.03	thf(func_def_982, type, exp_complex: complex > complex).
65.12/9.03	thf(func_def_983, type, exp_real: real > real).
65.12/9.03	thf(func_def_984, type, ln_ln_real: real > real).
65.12/9.03	thf(func_def_985, type, log2: real > real > real).
65.12/9.03	thf(func_def_986, type, pi: real).
65.12/9.03	thf(func_def_987, type, powr_real: real > real > real).
65.12/9.03	thf(func_def_988, type, powr_real2: real > real > real).
65.12/9.03	thf(func_def_989, type, sin_complex: complex > complex).
65.12/9.03	thf(func_def_990, type, sin_real: real > real).
65.12/9.03	thf(func_def_991, type, sin_coeff: nat > real).
65.12/9.03	thf(func_def_992, type, sinh_complex: complex > complex).
65.12/9.03	thf(func_def_993, type, sinh_real: real > real).
65.12/9.03	thf(func_def_994, type, tan_complex: complex > complex).
65.12/9.03	thf(func_def_995, type, tan_real: real > real).
65.12/9.03	thf(func_def_996, type, tanh_complex: complex > complex).
65.12/9.03	thf(func_def_997, type, tanh_real: real > real).
65.12/9.03	thf(func_def_998, type, transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_999, type, vEBT_Leaf: $o > $o > vEBT_VEBT).
65.12/9.03	thf(func_def_1000, type, vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1001, type, vEBT_size_VEBT: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1002, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1003, type, vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT).
65.12/9.03	thf(func_def_1004, type, vEBT_V312737461966249ad_rel: produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o).
65.12/9.03	thf(func_def_1005, type, vEBT_VEBT_high: nat > nat > nat).
65.12/9.03	thf(func_def_1006, type, vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1007, type, vEBT_VEBT_low: nat > nat > nat).
65.12/9.03	thf(func_def_1008, type, vEBT_VEBT_membermima: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1009, type, vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o).
65.12/9.03	thf(func_def_1010, type, vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1011, type, vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o).
65.12/9.03	thf(func_def_1012, type, vEBT_VEBT_valid: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1013, type, vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o).
65.12/9.03	thf(func_def_1014, type, vEBT_invar_vebt: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1015, type, vEBT_set_vebt: vEBT_VEBT > set_nat).
65.12/9.03	thf(func_def_1016, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1017, type, vEBT_v4011308405150292612up_rel: nat > nat > $o).
65.12/9.03	thf(func_def_1018, type, vEBT_VEBT_bit_concat: nat > nat > nat > nat).
65.12/9.03	thf(func_def_1019, type, vEBT_VEBT_minNull: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1020, type, vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1021, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat).
65.12/9.03	thf(func_def_1022, type, vEBT_vebt_member: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1023, type, vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o).
65.12/9.03	thf(func_def_1024, type, accp_list_nat: (list_nat > list_nat > $o) > list_nat > $o).
65.12/9.03	thf(func_def_1025, type, accp_nat: (nat > nat > $o) > nat > $o).
65.12/9.03	thf(func_def_1026, type, accp_P8126237942716283194atural: (produc7822875418678951345atural > produc7822875418678951345atural > $o) > produc7822875418678951345atural > $o).
65.12/9.03	thf(func_def_1027, type, accp_P1096762738010456898nt_int: (product_prod_int_int > product_prod_int_int > $o) > product_prod_int_int > $o).
65.12/9.03	thf(func_def_1028, type, accp_P4275260045618599050at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > product_prod_nat_nat > $o).
65.12/9.03	thf(func_def_1029, type, accp_P3113834385874906142um_num: (product_prod_num_num > product_prod_num_num > $o) > product_prod_num_num > $o).
65.12/9.03	thf(func_def_1030, type, accp_P6183159247885693666d_enat: (produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o) > produc7272778201969148633d_enat > $o).
65.12/9.03	thf(func_def_1031, type, accp_P2887432264394892906BT_nat: (produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o) > produc9072475918466114483BT_nat > $o).
65.12/9.03	thf(func_def_1032, type, accp_VEBT_VEBT: (vEBT_VEBT > vEBT_VEBT > $o) > vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1033, type, less_than: set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_1034, type, pred_nat: set_Pr1261947904930325089at_nat).
65.12/9.03	thf(func_def_1035, type, wf_int: set_Pr958786334691620121nt_int > $o).
65.12/9.03	thf(func_def_1036, type, wf_nat: set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_1037, type, fChoice_real: (real > $o) > real).
65.12/9.03	thf(func_def_1038, type, member_o: $o > set_o > $o).
65.12/9.03	thf(func_def_1039, type, member_Code_integer: code_integer > set_Code_integer > $o).
65.12/9.03	thf(func_def_1040, type, member_complex: complex > set_complex > $o).
65.12/9.03	thf(func_def_1041, type, member_int: int > set_int > $o).
65.12/9.03	thf(func_def_1042, type, member_list_nat: list_nat > set_list_nat > $o).
65.12/9.03	thf(func_def_1043, type, member_nat: nat > set_nat > $o).
65.12/9.03	thf(func_def_1044, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o).
65.12/9.03	thf(func_def_1045, type, member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o).
65.12/9.03	thf(func_def_1046, type, member_rat: rat > set_rat > $o).
65.12/9.03	thf(func_def_1047, type, member_real: real > set_real > $o).
65.12/9.03	thf(func_def_1048, type, member_set_nat: set_nat > set_set_nat > $o).
65.12/9.03	thf(func_def_1049, type, member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1050, type, n: nat).
65.12/9.03	thf(func_def_1051, type, t: vEBT_VEBT).
65.12/9.03	thf(func_def_1052, type, x: nat).
65.12/9.03	thf(func_def_1054, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
65.12/9.03	thf(func_def_1057, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
65.12/9.03	thf(func_def_1058, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
65.12/9.03	thf(func_def_1059, type, vAND: $o > $o > $o).
65.12/9.03	thf(func_def_1060, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
65.12/9.03	thf(func_def_1061, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
65.12/9.03	thf(func_def_1062, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
65.12/9.03	thf(func_def_1063, type, vIMP: $o > $o > $o).
65.12/9.03	thf(func_def_1064, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
65.12/9.03	thf(func_def_1065, type, vOR: $o > $o > $o).
65.12/9.03	thf(func_def_1066, type, vNOT: $o > $o).
65.12/9.03	thf(func_def_1067, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
65.12/9.03	thf(func_def_1068, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
65.12/9.03	thf(func_def_1069, type, sP0: set_nat > (nat > rat) > $o).
65.12/9.03	thf(func_def_1070, type, sP1: nat > list_VEBT_VEBT > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1071, type, sP2: vEBT_VEBT > nat > $o > $o).
65.12/9.03	thf(func_def_1072, type, sP3: vEBT_VEBT > $o > $o).
65.12/9.03	thf(func_def_1073, type, sP4: vEBT_VEBT > $o > $o).
65.12/9.03	thf(func_def_1074, type, sP5: vEBT_VEBT > $o > $o).
65.12/9.03	thf(func_def_1075, type, sP6: $o > nat > $o).
65.12/9.03	thf(func_def_1076, type, sP7: nat > nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1077, type, sP8: nat > nat > nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1078, type, sP9: nat > nat > nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1079, type, sP10: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1080, type, sP11: $o > nat > $o).
65.12/9.03	thf(func_def_1081, type, sP12: nat > $o > $o).
65.12/9.03	thf(func_def_1082, type, sP13: $o > $o > nat > $o).
65.12/9.03	thf(func_def_1083, type, sP14: nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1084, type, sP15: nat > list_VEBT_VEBT > nat > nat > $o).
65.12/9.03	thf(func_def_1085, type, sP16: nat > nat > list_VEBT_VEBT > nat > nat > $o).
65.12/9.03	thf(func_def_1086, type, sP17: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1087, type, sP18: (nat > nat > $o) > $o).
65.12/9.03	thf(func_def_1088, type, sP19: (nat > $o) > $o).
65.12/9.03	thf(func_def_1089, type, sP20: (real > real > $o) > $o).
65.12/9.03	thf(func_def_1090, type, sP21: real > real > $o).
65.12/9.03	thf(func_def_1091, type, sP22: list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1092, type, sP23: list_VEBT_VEBT > nat > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1093, type, sP24: nat > list_VEBT_VEBT > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1094, type, sP25: nat > nat > list_VEBT_VEBT > nat > nat > $o).
65.12/9.03	thf(func_def_1095, type, sP26: list_VEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1096, type, sP27: nat > vEBT_VEBT > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1097, type, sP28: nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1098, type, sP29: list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1099, type, sP30: list_VEBT_VEBT > nat > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1100, type, sP31: nat > list_VEBT_VEBT > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1101, type, sP32: nat > nat > list_VEBT_VEBT > nat > nat > $o).
65.12/9.03	thf(func_def_1102, type, sP33: list_VEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1103, type, sP34: nat > vEBT_VEBT > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1104, type, sP35: nat > nat > list_VEBT_VEBT > $o).
65.12/9.03	thf(func_def_1105, type, sP36: list_VEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1106, type, sP37: list_VEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1107, type, sP38: list_VEBT_VEBT > nat > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1108, type, sP39: nat > nat > list_VEBT_VEBT > nat > nat > $o).
65.12/9.03	thf(func_def_1109, type, sP40: list_VEBT_VEBT > nat > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1110, type, sP41: nat > list_VEBT_VEBT > nat > nat > nat > $o).
65.12/9.03	thf(func_def_1111, type, sP42: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1112, type, sP43: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1113, type, sP44: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1114, type, sP45: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1115, type, sK46: set_nat > (nat > rat) > nat).
65.12/9.03	thf(func_def_1116, type, sK47: rat > rat > (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1117, type, sK48: (nat > $o) > list_nat > nat).
65.12/9.03	thf(func_def_1118, type, sK49: (nat > $o) > list_nat > nat).
65.12/9.03	thf(func_def_1119, type, sK50: (nat > $o) > list_nat > nat).
65.12/9.03	thf(func_def_1120, type, sK51: (nat > nat) > (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1121, type, sK52: (nat > real) > (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1122, type, sK53: (nat > rat) > (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1123, type, sK54: (nat > nat) > (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1124, type, sK55: (nat > real) > (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1125, type, sK56: set_nat > (nat > nat) > nat).
65.12/9.03	thf(func_def_1126, type, sK57: set_nat > set_nat > nat).
65.12/9.03	thf(func_def_1127, type, sK58: set_nat > nat > nat).
65.12/9.03	thf(func_def_1128, type, sK59: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1129, type, sK60: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1130, type, sK61: (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1131, type, sK62: (nat > int) > set_nat > nat).
65.12/9.03	thf(func_def_1132, type, sK63: (nat > int) > set_nat > nat).
65.12/9.03	thf(func_def_1133, type, sK64: (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1134, type, sK65: (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1135, type, sK66: (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1136, type, sK67: (nat > int) > set_nat > nat).
65.12/9.03	thf(func_def_1137, type, sK68: (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1138, type, sK69: nat > set_nat > nat).
65.12/9.03	thf(func_def_1139, type, sK70: (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1140, type, sK71: (nat > rat) > set_nat > nat).
65.12/9.03	thf(func_def_1141, type, sK72: (nat > real) > set_nat > nat).
65.12/9.03	thf(func_def_1142, type, sK73: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1143, type, sK74: (nat > int) > set_nat > nat).
65.12/9.03	thf(func_def_1144, type, sK75: (nat > nat) > set_nat > nat).
65.12/9.03	thf(func_def_1145, type, sK76: set_nat > (nat > rat) > nat).
65.12/9.03	thf(func_def_1146, type, sK77: set_nat > (nat > real) > nat).
65.12/9.03	thf(func_def_1147, type, sK78: vEBT_VEBT > product_prod_nat_nat).
65.12/9.03	thf(func_def_1148, type, sK79: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1149, type, sK80: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1150, type, sK81: vEBT_VEBT > product_prod_nat_nat).
65.12/9.03	thf(func_def_1151, type, sK82: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1152, type, sK83: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1153, type, sK84: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1154, type, sK85: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1155, type, sK86: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1156, type, sK87: vEBT_VEBT > nat > $o > $o).
65.12/9.03	thf(func_def_1157, type, sK88: vEBT_VEBT > nat > $o > $o).
65.12/9.03	thf(func_def_1158, type, sK89: $o > nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1159, type, sK90: $o > nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1160, type, sK91: $o > nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1161, type, sK92: $o > nat > vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1162, type, sK93: $o > nat > vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1163, type, sK94: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1164, type, sK95: vEBT_VEBT > nat > $o).
65.12/9.03	thf(func_def_1165, type, sK96: nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1166, type, sK97: nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1167, type, sK98: nat > vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1168, type, sK99: nat > vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1169, type, sK100: nat > vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1170, type, sK101: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1171, type, sK102: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1172, type, sK103: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1173, type, sK104: vEBT_VEBT > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1174, type, sK105: vEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1175, type, sK106: vEBT_VEBT > product_prod_nat_nat).
65.12/9.03	thf(func_def_1176, type, sK107: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1177, type, sK108: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1178, type, sK109: vEBT_VEBT > product_prod_nat_nat).
65.12/9.03	thf(func_def_1179, type, sK110: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1180, type, sK111: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1181, type, sK112: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1182, type, sK113: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1183, type, sK114: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1184, type, sK115: nat > vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1185, type, sK116: nat > vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1186, type, sK117: nat > vEBT_VEBT > option4927543243414619207at_nat).
65.12/9.03	thf(func_def_1187, type, sK118: nat > vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1188, type, sK119: nat > vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1189, type, sK120: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1190, type, sK121: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1191, type, sK122: list_VEBT_VEBT > list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1192, type, sK123: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1193, type, sK124: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1194, type, sK125: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1195, type, sK126: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1196, type, sK127: vEBT_VEBT > option4927543243414619207at_nat).
65.12/9.03	thf(func_def_1197, type, sK128: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1198, type, sK129: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1199, type, sK130: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1200, type, sK131: vEBT_VEBT > product_prod_nat_nat).
65.12/9.03	thf(func_def_1201, type, sK132: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1202, type, sK133: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1203, type, sK134: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1204, type, sK135: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1205, type, sK136: vEBT_VEBT > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1206, type, sK137: vEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1207, type, sK138: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1208, type, sK139: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1209, type, sK140: (nat > real) > nat).
65.12/9.03	thf(func_def_1210, type, sK141: (nat > real) > nat).
65.12/9.03	thf(func_def_1211, type, sK142: (real > nat) > real).
65.12/9.03	thf(func_def_1212, type, sK143: (real > nat) > real).
65.12/9.03	thf(func_def_1213, type, sK144: (real > nat) > real).
65.12/9.03	thf(func_def_1214, type, sK145: (real > nat) > real).
65.12/9.03	thf(func_def_1215, type, sK146: (real > nat) > real).
65.12/9.03	thf(func_def_1216, type, sK147: (real > nat) > real).
65.12/9.03	thf(func_def_1217, type, sK148: (nat > nat > $o) > nat).
65.12/9.03	thf(func_def_1218, type, sK149: (nat > nat > $o) > nat).
65.12/9.03	thf(func_def_1219, type, sK150: (nat > nat > $o) > nat).
65.12/9.03	thf(func_def_1220, type, sK151: (nat > nat > $o) > nat).
65.12/9.03	thf(func_def_1221, type, sK152: (nat > nat > $o) > nat).
65.12/9.03	thf(func_def_1222, type, sK153: (nat > $o) > nat).
65.12/9.03	thf(func_def_1223, type, sK154: (nat > $o) > nat).
65.12/9.03	thf(func_def_1224, type, sK155: (nat > $o) > nat).
65.12/9.03	thf(func_def_1225, type, sK156: (nat > $o) > nat).
65.12/9.03	thf(func_def_1226, type, sK157: nat > nat).
65.12/9.03	thf(func_def_1227, type, sK158: nat > nat).
65.12/9.03	thf(func_def_1228, type, sK159: nat > nat).
65.12/9.03	thf(func_def_1229, type, sK160: nat > nat).
65.12/9.03	thf(func_def_1230, type, sK161: nat > nat).
65.12/9.03	thf(func_def_1231, type, sK162: nat > nat).
65.12/9.03	thf(func_def_1232, type, sK163: nat > nat).
65.12/9.03	thf(func_def_1233, type, sK164: nat > nat).
65.12/9.03	thf(func_def_1234, type, sK165: nat > nat).
65.12/9.03	thf(func_def_1235, type, sK166: (real > real) > real).
65.12/9.03	thf(func_def_1236, type, sK167: (real > real) > real).
65.12/9.03	thf(func_def_1237, type, sK168: (real > real) > real).
65.12/9.03	thf(func_def_1238, type, sK169: (real > real) > real).
65.12/9.03	thf(func_def_1239, type, sK170: (real > real) > real).
65.12/9.03	thf(func_def_1240, type, sK171: (real > real) > real).
65.12/9.03	thf(func_def_1241, type, sK172: (real > real) > real).
65.12/9.03	thf(func_def_1242, type, sK173: (real > real) > real).
65.12/9.03	thf(func_def_1243, type, sK174: (real > real > $o) > real).
65.12/9.03	thf(func_def_1244, type, sK175: (real > real > $o) > real).
65.12/9.03	thf(func_def_1245, type, sK176: (real > real > $o) > real).
65.12/9.03	thf(func_def_1246, type, sK177: (real > real > $o) > real).
65.12/9.03	thf(func_def_1247, type, sK178: (real > real > $o) > real).
65.12/9.03	thf(func_def_1248, type, sK179: real > real > real).
65.12/9.03	thf(func_def_1249, type, sK180: real > real > real).
65.12/9.03	thf(func_def_1250, type, sK181: real > real).
65.12/9.03	thf(func_def_1251, type, sK182: real > real).
65.12/9.03	thf(func_def_1252, type, sK183: real > real).
65.12/9.03	thf(func_def_1253, type, sK184: real > real).
65.12/9.03	thf(func_def_1254, type, sK185: real > real).
65.12/9.03	thf(func_def_1255, type, sK186: real > real).
65.12/9.03	thf(func_def_1256, type, sK187: real > real).
65.12/9.03	thf(func_def_1257, type, sK188: real > real).
65.12/9.03	thf(func_def_1258, type, sK189: real > real).
65.12/9.03	thf(func_def_1259, type, sK190: real > real).
65.12/9.03	thf(func_def_1260, type, sK191: real > real).
65.12/9.03	thf(func_def_1261, type, sK192: real > real).
65.12/9.03	thf(func_def_1262, type, sK193: real > real).
65.12/9.03	thf(func_def_1263, type, sK194: nat > vEBT_VEBT > list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1264, type, sK195: list_VEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1265, type, sK196: nat > nat > list_VEBT_VEBT > nat > nat > nat).
65.12/9.03	thf(func_def_1266, type, sK197: list_VEBT_VEBT > nat > nat > nat > nat > nat).
65.12/9.03	thf(func_def_1267, type, sK198: list_VEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1268, type, sK199: list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1269, type, sK200: nat > vEBT_VEBT > list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1270, type, sK201: list_VEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1271, type, sK202: nat > nat > list_VEBT_VEBT > nat > nat > nat).
65.12/9.03	thf(func_def_1272, type, sK203: list_VEBT_VEBT > nat > nat > nat > nat > nat).
65.12/9.03	thf(func_def_1273, type, sK204: list_VEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1274, type, sK205: list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1275, type, sK206: list_VEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1276, type, sK207: list_VEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1277, type, sK208: list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1278, type, sK209: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1279, type, sK210: list_VEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1280, type, sK211: list_VEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1281, type, sK212: list_VEBT_VEBT > nat).
65.12/9.03	thf(func_def_1282, type, sK213: vEBT_VEBT > nat).
65.12/9.03	thf(func_def_1283, type, sK214: nat > list_VEBT_VEBT > vEBT_VEBT).
65.12/9.03	thf(func_def_1284, type, sK215: vEBT_VEBT > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1285, type, sK216: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1286, type, sK217: vEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1287, type, sK218: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1288, type, sK219: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1289, type, sK220: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1290, type, sK221: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1291, type, sK222: vEBT_VEBT > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1292, type, sK223: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1293, type, sK224: vEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1294, type, sK225: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1295, type, sK226: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1296, type, sK227: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1297, type, sK228: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1298, type, sK229: vEBT_VEBT > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1299, type, sK230: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1300, type, sK231: vEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1301, type, sK232: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1302, type, sK233: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1303, type, sK234: vEBT_VEBT > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1304, type, sK235: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1305, type, sK236: vEBT_VEBT > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1306, type, sK237: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1307, type, sK238: vEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1308, type, sK239: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1309, type, sK240: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1314, type, sK242: vEBT_VEBT > nat > nat > nat).
65.12/9.03	thf(func_def_1315, type, sK243: vEBT_VEBT > nat > nat > nat).
65.12/9.03	thf(func_def_1316, type, sK244: vEBT_VEBT > list_VEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1317, type, sK245: vEBT_VEBT > list_VEBT_VEBT > nat > nat).
65.12/9.03	thf(func_def_1318, type, sK246: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1319, type, sK247: vEBT_VEBT > $o).
65.12/9.03	thf(func_def_1320, type, sK248: (nat > vEBT_VEBT > $o) > nat > nat).
65.12/9.03	thf(func_def_1321, type, sK249: (nat > vEBT_VEBT > $o) > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1322, type, sK250: (nat > vEBT_VEBT > $o) > nat > list_VEBT_VEBT).
65.12/9.03	thf(func_def_1323, type, sK251: list_VEBT_VEBT > (nat > vEBT_VEBT > $o) > nat > nat).
65.12/9.03	thf(func_def_1324, type, sK252: (nat > vEBT_VEBT > $o) > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1325, type, sK253: (nat > vEBT_VEBT > $o) > nat > vEBT_VEBT).
65.12/9.03	thf(func_def_1326, type, sK254: set_nat > nat).
65.12/9.03	thf(func_def_1327, type, sK255: set_nat > nat > nat).
65.12/9.03	thf(func_def_1328, type, sK256: nat > set_nat > nat).
65.12/9.03	thf(func_def_1329, type, sK257: set_nat > nat).
65.12/9.03	thf(func_def_1330, type, sK258: set_nat > nat).
65.12/9.03	thf(func_def_1331, type, sK259: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1332, type, sK260: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1333, type, sK261: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1334, type, sK262: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1335, type, sK263: (nat > $o) > list_nat > nat).
65.12/9.03	thf(func_def_1336, type, sK264: (nat > $o) > list_nat > nat).
65.12/9.03	thf(func_def_1337, type, sK265: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1338, type, sK266: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1339, type, sK267: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1340, type, sK268: (nat > $o) > nat > nat).
65.12/9.03	thf(func_def_1341, type, sK269: list_nat > nat > nat).
65.12/9.03	thf(func_def_1342, type, sK270: set_nat > nat).
65.12/9.03	thf(func_def_1343, type, sK271: set_nat > nat).
65.12/9.03	thf(func_def_1344, type, sK272: set_nat > nat > nat).
65.12/9.03	thf(func_def_1345, type, sK273: set_nat > nat > nat).
65.12/9.03	thf(f43095,plain,(
65.12/9.03	  $false),
65.12/9.03	  inference(avatar_sat_refutation,[],[f24505,f24514,f34450,f34480,f34501,f41331,f43094])).
65.12/9.03	thf(f43094,plain,(
65.12/9.03	  spl241_4 | spl241_74 | ~spl241_3),
65.12/9.03	  inference(avatar_split_clause,[],[f43084,f24507,f34443,f24511])).
65.12/9.03	thf(f24511,plain,(
65.12/9.03	  spl241_4 <=> (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $false)),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_4])])).
65.12/9.03	thf(f34443,plain,(
65.12/9.03	  spl241_74 <=> ! [X0 : nat] : ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X0))),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_74])])).
65.12/9.03	thf(f24507,plain,(
65.12/9.03	  spl241_3 <=> ($false = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t))))),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_3])])).
65.12/9.03	thf(f43084,plain,(
65.12/9.03	  ( ! [X33 : nat] : (($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X33)) | (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $false)) ) | ~spl241_3),
65.12/9.03	  inference(trivial_inequality_removal,[],[f43060])).
65.12/9.03	thf(f43060,plain,(
65.12/9.03	  ( ! [X33 : nat] : (($true = $false) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X33)) | (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $false)) ) | ~spl241_3),
65.12/9.03	  inference(superposition,[],[f41362,f24193])).
65.12/9.03	thf(f24193,plain,(
65.12/9.03	  ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,X0),X1)) | ($false = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2))) )),
65.12/9.03	  inference(binary_proxy_clausification,[],[f23855])).
65.12/9.03	thf(f23855,plain,(
65.12/9.03	  ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : ((vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,X0),X1))) )),
65.12/9.03	  inference(definition_unfolding,[],[f23532,f23827])).
65.12/9.03	thf(f23827,plain,(
65.12/9.03	  (vEBT_invar_vebt = vEBT_VEBT_valid)),
65.12/9.03	  inference(cnf_transformation,[],[f8743])).
65.12/9.03	thf(f8743,axiom,(
65.12/9.03	  (vEBT_invar_vebt = vEBT_VEBT_valid)),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f23532,plain,(
65.12/9.03	  ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : ((vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1))) )),
65.12/9.03	  inference(cnf_transformation,[],[f22881])).
65.12/9.03	thf(f22881,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : ((vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1)))),
65.12/9.03	  inference(ennf_transformation,[],[f20857])).
65.12/9.03	thf(f20857,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1)) => (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)))),
65.12/9.03	  inference(fool_elimination,[],[f20856])).
65.12/9.03	thf(f20856,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1) => (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)))),
65.12/9.03	  inference(rectify,[],[f8643])).
65.12/9.03	thf(f8643,axiom,(
65.12/9.03	  ! [X35 : vEBT_VEBT,X11 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X35),X11) => (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X35),X2) = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X35),X2)))),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f41362,plain,(
65.12/9.03	  ($false = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ~spl241_3),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34527])).
65.12/9.03	thf(f34527,plain,(
65.12/9.03	  ($true = $false) | ($false = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ~spl241_3),
65.12/9.03	  inference(superposition,[],[f24509,f24274])).
65.12/9.03	thf(f24274,plain,(
65.12/9.03	  ( ! [X0 : nat,X1 : nat > $o] : (($true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),vAPP(sTfun(nat,$o),set_nat,collect_nat,X1))) | ($false = vAPP(nat,$o,X1,X0))) )),
65.12/9.03	  inference(binary_proxy_clausification,[],[f23515])).
65.12/9.03	thf(f23515,plain,(
65.12/9.03	  ( ! [X0 : nat,X1 : nat > $o] : ((vAPP(nat,$o,X1,X0) = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),vAPP(sTfun(nat,$o),set_nat,collect_nat,X1)))) )),
65.12/9.03	  inference(cnf_transformation,[],[f22772])).
65.12/9.03	thf(f22772,plain,(
65.12/9.03	  ! [X0 : nat,X1 : nat > $o] : (vAPP(nat,$o,X1,X0) = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),vAPP(sTfun(nat,$o),set_nat,collect_nat,X1)))),
65.12/9.03	  inference(rectify,[],[f6094])).
65.12/9.03	thf(f6094,axiom,(
65.12/9.03	  ! [X12 : nat,X1 : nat > $o] : (vAPP(nat,$o,X1,X12) = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X12),vAPP(sTfun(nat,$o),set_nat,collect_nat,X1)))),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f24509,plain,(
65.12/9.03	  ($false = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t)))) | ~spl241_3),
65.12/9.03	  inference(avatar_component_clause,[],[f24507])).
65.12/9.03	thf(f41331,plain,(
65.12/9.03	  ~spl241_74),
65.12/9.03	  inference(avatar_contradiction_clause,[],[f41330])).
65.12/9.03	thf(f41330,plain,(
65.12/9.03	  $false | ~spl241_74),
65.12/9.03	  inference(trivial_inequality_removal,[],[f41323])).
65.12/9.03	thf(f41323,plain,(
65.12/9.03	  ($true != $true) | ~spl241_74),
65.12/9.03	  inference(superposition,[],[f34444,f23829])).
65.12/9.03	thf(f23829,plain,(
65.12/9.03	  ($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),n))),
65.12/9.03	  inference(definition_unfolding,[],[f23425,f23827])).
65.12/9.03	thf(f23425,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,t),n) = $true)),
65.12/9.03	  inference(cnf_transformation,[],[f10198])).
65.12/9.03	thf(f10198,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,t),n) = $true)),
65.12/9.03	  inference(fool_elimination,[],[f10197])).
65.12/9.03	thf(f10197,plain,(
65.12/9.03	  vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,t),n)),
65.12/9.03	  inference(rectify,[],[f4524])).
65.12/9.03	thf(f4524,axiom,(
65.12/9.03	  vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,t),n)),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f34444,plain,(
65.12/9.03	  ( ! [X0 : nat] : (($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X0))) ) | ~spl241_74),
65.12/9.03	  inference(avatar_component_clause,[],[f34443])).
65.12/9.03	thf(f34501,plain,(
65.12/9.03	  ~spl241_2 | ~spl241_4),
65.12/9.03	  inference(avatar_contradiction_clause,[],[f34500])).
65.12/9.03	thf(f34500,plain,(
65.12/9.03	  $false | (~spl241_2 | ~spl241_4)),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34499])).
65.12/9.03	thf(f34499,plain,(
65.12/9.03	  ($true = $false) | (~spl241_2 | ~spl241_4)),
65.12/9.03	  inference(forward_demodulation,[],[f24504,f24513])).
65.12/9.03	thf(f24513,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $false) | ~spl241_4),
65.12/9.03	  inference(avatar_component_clause,[],[f24511])).
65.12/9.03	thf(f24504,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $true) | ~spl241_2),
65.12/9.03	  inference(avatar_component_clause,[],[f24502])).
65.12/9.03	thf(f24502,plain,(
65.12/9.03	  spl241_2 <=> (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $true)),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_2])])).
65.12/9.03	thf(f34480,plain,(
65.12/9.03	  ~spl241_1 | spl241_75),
65.12/9.03	  inference(avatar_contradiction_clause,[],[f34479])).
65.12/9.03	thf(f34479,plain,(
65.12/9.03	  $false | (~spl241_1 | spl241_75)),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34478])).
65.12/9.03	thf(f34478,plain,(
65.12/9.03	  ($true = $false) | (~spl241_1 | spl241_75)),
65.12/9.03	  inference(forward_demodulation,[],[f34473,f34455])).
65.12/9.03	thf(f34455,plain,(
65.12/9.03	  ($false = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | spl241_75),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34454])).
65.12/9.03	thf(f34454,plain,(
65.12/9.03	  ($true != $true) | ($false = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | spl241_75),
65.12/9.03	  inference(superposition,[],[f34448,f25979])).
65.12/9.03	thf(f25979,plain,(
65.12/9.03	  ( ! [X12 : $o] : (($true = X12) | ($false = X12)) )),
65.12/9.03	  inference(combinator_demodulation,[],[f25936])).
65.12/9.03	thf(f25936,plain,(
65.12/9.03	  ( ! [X12 : $o,X13 : nat] : (($true = X12) | ($false = vAPP(nat,$o,vAPP($o,sTfun(nat,$o),kCOMB,X12),X13))) )),
65.12/9.03	  inference(kx_narrow,[],[f25926])).
65.12/9.03	thf(f25926,plain,(
65.12/9.03	  ( ! [X2 : nat,X3 : nat > $o] : (($true = vAPP(nat,$o,X3,X2)) | ($false = vAPP(nat,$o,X3,X2))) )),
65.12/9.03	  inference(trivial_inequality_removal,[],[f25921])).
65.12/9.03	thf(f25921,plain,(
65.12/9.03	  ( ! [X2 : nat,X3 : nat > $o] : (($true = $false) | ($false = vAPP(nat,$o,X3,X2)) | ($true = vAPP(nat,$o,X3,X2))) )),
65.12/9.03	  inference(superposition,[],[f24274,f24273])).
65.12/9.03	thf(f24273,plain,(
65.12/9.03	  ( ! [X0 : nat,X1 : nat > $o] : (($false = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),vAPP(sTfun(nat,$o),set_nat,collect_nat,X1))) | ($true = vAPP(nat,$o,X1,X0))) )),
65.12/9.03	  inference(binary_proxy_clausification,[],[f23515])).
65.12/9.03	thf(f34448,plain,(
65.12/9.03	  ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | spl241_75),
65.12/9.03	  inference(avatar_component_clause,[],[f34446])).
65.12/9.03	thf(f34446,plain,(
65.12/9.03	  spl241_75 <=> ($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x))),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_75])])).
65.12/9.03	thf(f34473,plain,(
65.12/9.03	  ($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ~spl241_1),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34472])).
65.12/9.03	thf(f34472,plain,(
65.12/9.03	  ($true = $false) | ($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ~spl241_1),
65.12/9.03	  inference(superposition,[],[f24273,f24500])).
65.12/9.03	thf(f24500,plain,(
65.12/9.03	  ($true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t)))) | ~spl241_1),
65.12/9.03	  inference(avatar_component_clause,[],[f24498])).
65.12/9.03	thf(f24498,plain,(
65.12/9.03	  spl241_1 <=> ($true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t))))),
65.12/9.03	  introduced(avatar_definition,[new_symbols(naming,[spl241_1])])).
65.12/9.03	thf(f34450,plain,(
65.12/9.03	  spl241_74 | ~spl241_75 | ~spl241_4),
65.12/9.03	  inference(avatar_split_clause,[],[f34439,f24511,f34446,f34443])).
65.12/9.03	thf(f34439,plain,(
65.12/9.03	  ( ! [X0 : nat] : (($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X0))) ) | ~spl241_4),
65.12/9.03	  inference(trivial_inequality_removal,[],[f34436])).
65.12/9.03	thf(f34436,plain,(
65.12/9.03	  ( ! [X0 : nat] : (($true = $false) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t),x)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,t),X0))) ) | ~spl241_4),
65.12/9.03	  inference(superposition,[],[f23853,f24513])).
65.12/9.03	thf(f23853,plain,(
65.12/9.03	  ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_VEBT_valid,X0),X1))) )),
65.12/9.03	  inference(definition_unfolding,[],[f23530,f23827])).
65.12/9.03	thf(f23530,plain,(
65.12/9.03	  ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1))) )),
65.12/9.03	  inference(cnf_transformation,[],[f22878])).
65.12/9.03	thf(f22878,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1)))),
65.12/9.03	  inference(flattening,[],[f22877])).
65.12/9.03	thf(f22877,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : ((($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2))) | ($true != vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1)))),
65.12/9.03	  inference(ennf_transformation,[],[f20861])).
65.12/9.03	thf(f20861,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1)) => (($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2)) => ($true = vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2))))),
65.12/9.03	  inference(fool_elimination,[],[f20860])).
65.12/9.03	thf(f20860,plain,(
65.12/9.03	  ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X0),X1) => (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0),X2) => vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X0),X2)))),
65.12/9.03	  inference(rectify,[],[f2576])).
65.12/9.03	thf(f2576,axiom,(
65.12/9.03	  ! [X35 : vEBT_VEBT,X11 : nat,X2 : nat] : (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_invar_vebt,X35),X11) => (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X35),X2) => vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,X35),X2)))),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f24514,plain,(
65.12/9.03	  spl241_3 | spl241_4),
65.12/9.03	  inference(avatar_split_clause,[],[f24496,f24511,f24507])).
65.12/9.03	thf(f24496,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $false) | ($false = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t))))),
65.12/9.03	  inference(binary_proxy_clausification,[],[f24494])).
65.12/9.03	thf(f24494,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) != vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t))))),
65.12/9.03	  inference(combinator_demodulation,[],[f23828])).
65.12/9.03	thf(f23828,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) != vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(vEBT_VEBT,set_nat,vAPP(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat),vAPP(sTfun(sTfun(nat,$o),set_nat),sTfun(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat)),bCOMB,collect_nat),vEBT_V8194947554948674370ptions),t)))),
65.12/9.03	  inference(definition_unfolding,[],[f23424,f23426])).
65.12/9.03	thf(f23426,plain,(
65.12/9.03	  (vEBT_set_vebt = vAPP(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat),vAPP(sTfun(sTfun(nat,$o),set_nat),sTfun(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat)),bCOMB,collect_nat),vEBT_V8194947554948674370ptions))),
65.12/9.03	  inference(cnf_transformation,[],[f10276])).
65.12/9.03	thf(f10276,plain,(
65.12/9.03	  (vEBT_set_vebt = vAPP(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat),vAPP(sTfun(sTfun(nat,$o),set_nat),sTfun(sTfun(vEBT_VEBT,sTfun(nat,$o)),sTfun(vEBT_VEBT,set_nat)),bCOMB,collect_nat),vEBT_V8194947554948674370ptions))),
65.12/9.03	  inference(fool_elimination,[],[f10275])).
65.12/9.03	thf(f10275,plain,(
65.12/9.03	  (vEBT_set_vebt = (^[X0 : vEBT_VEBT] : (vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X0)))))),
65.12/9.03	  inference(rectify,[],[f5016])).
65.12/9.03	thf(f5016,axiom,(
65.12/9.03	  (vEBT_set_vebt = (^[X155 : vEBT_VEBT] : (vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,X155)))))),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f23424,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) != vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(vEBT_VEBT,set_nat,vEBT_set_vebt,t)))),
65.12/9.03	  inference(cnf_transformation,[],[f22762])).
65.12/9.03	thf(f22762,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) != vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(vEBT_VEBT,set_nat,vEBT_set_vebt,t)))),
65.12/9.03	  inference(flattening,[],[f8178])).
65.12/9.03	thf(f8178,negated_conjecture,(
65.12/9.03	  ~(vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(vEBT_VEBT,set_nat,vEBT_set_vebt,t)))),
65.12/9.03	  inference(negated_conjecture,[],[f8177])).
65.12/9.03	thf(f8177,conjecture,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(vEBT_VEBT,set_nat,vEBT_set_vebt,t)))),
65.12/9.03	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
65.12/9.03	thf(f24505,plain,(
65.12/9.03	  spl241_1 | spl241_2),
65.12/9.03	  inference(avatar_split_clause,[],[f24495,f24502,f24498])).
65.12/9.03	thf(f24495,plain,(
65.12/9.03	  (vAPP(nat,$o,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_vebt_member,t),x) = $true) | ($true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,x),vAPP(sTfun(nat,$o),set_nat,collect_nat,vAPP(vEBT_VEBT,sTfun(nat,$o),vEBT_V8194947554948674370ptions,t))))),
65.12/9.03	  inference(binary_proxy_clausification,[],[f24494])).
65.12/9.03	% SZS output end Proof for theBenchmark
65.12/9.03	% (30278)------------------------------
65.12/9.03	% (30278)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
65.12/9.03	% (30278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
65.12/9.03	% (30278)Termination reason: Refutation
65.12/9.03	
65.12/9.03	% (30278)Memory used [KB]: 131383
65.12/9.03	% (30278)Time elapsed: 4.628 s
65.12/9.03	% (30278)------------------------------
65.12/9.03	% (30278)------------------------------
65.12/9.03	% (30254)Success in time 8.663 s
65.12/9.05	EOF