0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.13/0.35	% Computer : n016.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 05:01:42 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	% (17758)Running in auto input_syntax mode. Trying TPTP
0.20/0.42	% (17760)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
0.20/0.42	% (17762)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
0.20/0.42	% (17763)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
0.20/0.42	% (17761)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
0.20/0.42	% (17764)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
0.20/0.42	% (17765)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
0.20/0.42	% (17766)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
0.20/0.42	% (17765)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (17763)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (17766)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.20/0.42	% (17761)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.20/0.45	% (17759)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
4.42/0.91	% (17760)Time limit reached!
4.42/0.91	% (17760)------------------------------
4.42/0.91	% (17760)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.42/0.91	% (17760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.42/0.91	% (17760)Termination reason: Time limit
4.42/0.91	% (17760)Termination phase: Saturation
4.42/0.91	
4.42/0.91	% (17760)Memory used [KB]: 18421
4.42/0.91	% (17760)Time elapsed: 0.500 s
4.42/0.91	% (17760)------------------------------
4.42/0.91	% (17760)------------------------------
4.42/0.91	% (17762)Time limit reached!
4.42/0.91	% (17762)------------------------------
4.42/0.91	% (17762)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.42/0.91	% (17762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.42/0.91	% (17762)Termination reason: Time limit
4.42/0.91	% (17762)Termination phase: Saturation
4.42/0.91	
4.42/0.91	% (17762)Memory used [KB]: 17014
4.42/0.91	% (17762)Time elapsed: 0.500 s
4.42/0.91	% (17762)------------------------------
4.42/0.91	% (17762)------------------------------
4.59/0.95	% (17771)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
4.59/0.95	% (17772)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
4.59/0.95	% (17772)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
4.59/0.95	% (17771)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.59/0.95	% (17772)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
4.59/0.96	% (17759)Time limit reached!
4.59/0.96	% (17759)------------------------------
4.59/0.96	% (17759)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.59/0.96	% (17759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.59/0.96	% (17759)Termination reason: Time limit
4.59/0.96	% (17759)Termination phase: Saturation
4.59/0.96	
4.59/0.96	% (17759)Memory used [KB]: 6140
4.59/0.96	% (17759)Time elapsed: 0.500 s
4.59/0.96	% (17759)------------------------------
4.59/0.96	% (17759)------------------------------
4.59/1.01	% (17761)Time limit reached!
4.59/1.01	% (17761)------------------------------
4.59/1.01	% (17761)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.59/1.01	% (17761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.59/1.01	% (17761)Termination reason: Time limit
4.59/1.01	% (17761)Termination phase: Saturation
4.59/1.01	
4.59/1.01	% (17761)Memory used [KB]: 18166
4.59/1.01	% (17761)Time elapsed: 0.600 s
4.59/1.01	% (17761)------------------------------
4.59/1.01	% (17761)------------------------------
4.59/1.02	% (17765)Time limit reached!
4.59/1.02	% (17765)------------------------------
4.59/1.02	% (17765)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
4.59/1.02	% (17765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
4.59/1.02	% (17765)Termination reason: Time limit
4.59/1.02	% (17765)Termination phase: Saturation
4.59/1.02	
4.59/1.02	% (17765)Memory used [KB]: 19189
4.59/1.02	% (17765)Time elapsed: 0.600 s
4.59/1.02	% (17765)------------------------------
4.59/1.02	% (17765)------------------------------
5.10/1.02	% (17773)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
5.10/1.05	% (17774)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
5.10/1.05	% (17775)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
9.37/1.55	% (17774)Time limit reached!
9.37/1.55	% (17774)------------------------------
9.37/1.55	% (17774)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.37/1.55	% (17774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.37/1.55	% (17774)Termination reason: Time limit
9.37/1.55	% (17774)Termination phase: Saturation
9.37/1.55	
9.37/1.55	% (17774)Memory used [KB]: 15991
9.37/1.55	% (17774)Time elapsed: 0.500 s
9.37/1.55	% (17774)------------------------------
9.37/1.55	% (17774)------------------------------
9.37/1.55	% (17775)Time limit reached!
9.37/1.55	% (17775)------------------------------
9.37/1.55	% (17775)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.37/1.55	% (17775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.37/1.55	% (17775)Termination reason: Time limit
9.37/1.55	% (17775)Termination phase: Saturation
9.37/1.55	
9.37/1.55	% (17775)Memory used [KB]: 14072
9.37/1.55	% (17775)Time elapsed: 0.500 s
9.37/1.55	% (17775)------------------------------
9.37/1.55	% (17775)------------------------------
9.37/1.56	% (17772)Time limit reached!
9.37/1.56	% (17772)------------------------------
9.37/1.56	% (17772)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
9.37/1.56	% (17772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
9.37/1.56	% (17772)Termination reason: Time limit
9.37/1.56	% (17772)Termination phase: Saturation
9.37/1.56	
9.37/1.56	% (17772)Memory used [KB]: 19445
9.37/1.56	% (17772)Time elapsed: 0.600 s
9.37/1.56	% (17772)------------------------------
9.37/1.56	% (17772)------------------------------
9.37/1.58	% (17776)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
9.37/1.58	% (17777)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
9.37/1.58	% (17776)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
9.87/1.61	% (17778)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
9.87/1.62	% (17778)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
12.35/1.91	% (17763)Time limit reached!
12.35/1.91	% (17763)------------------------------
12.35/1.91	% (17763)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
12.35/1.92	% (17763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
12.35/1.92	% (17763)Termination reason: Time limit
12.35/1.92	% (17763)Termination phase: Saturation
12.35/1.92	
12.35/1.92	% (17763)Memory used [KB]: 25969
12.35/1.92	% (17763)Time elapsed: 1.500 s
12.35/1.92	% (17763)------------------------------
12.35/1.92	% (17763)------------------------------
12.35/1.98	% (17777)Time limit reached!
12.35/1.98	% (17777)------------------------------
12.35/1.98	% (17777)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
12.35/1.98	% (17777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
12.35/1.98	% (17777)Termination reason: Time limit
12.35/1.98	% (17777)Termination phase: Saturation
12.35/1.98	
12.35/1.98	% (17777)Memory used [KB]: 16375
12.35/1.98	% (17777)Time elapsed: 0.400 s
12.35/1.98	% (17777)------------------------------
12.35/1.98	% (17777)------------------------------
12.90/1.98	% (17779)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
12.90/1.98	% (17779)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
12.90/1.98	% (17779)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
12.90/2.01	% (17780)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
12.90/2.01	% (17780)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
12.90/2.02	% (17764)Time limit reached!
12.90/2.02	% (17764)------------------------------
12.90/2.02	% (17764)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
12.90/2.02	% (17764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
12.90/2.02	% (17764)Termination reason: Time limit
12.90/2.02	% (17764)Termination phase: Saturation
12.90/2.02	
12.90/2.02	% (17764)Memory used [KB]: 27249
12.90/2.02	% (17764)Time elapsed: 1.600 s
12.90/2.02	% (17764)------------------------------
12.90/2.02	% (17764)------------------------------
12.90/2.05	% (17781)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
17.80/2.61	% (17778)Time limit reached!
17.80/2.61	% (17778)------------------------------
17.80/2.61	% (17778)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
17.80/2.61	% (17778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
17.80/2.61	% (17778)Termination reason: Time limit
17.80/2.61	% (17778)Termination phase: Saturation
17.80/2.61	
17.80/2.61	% (17778)Memory used [KB]: 23794
17.80/2.61	% (17778)Time elapsed: 1.0000 s
17.80/2.61	% (17778)------------------------------
17.80/2.61	% (17778)------------------------------
17.80/2.64	% (17782)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
17.80/2.64	% (17782)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
17.80/2.68	% (17776)Time limit reached!
17.80/2.68	% (17776)------------------------------
17.80/2.68	% (17776)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
17.80/2.68	% (17776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
17.80/2.68	% (17776)Termination reason: Time limit
17.80/2.68	% (17776)Termination phase: Saturation
17.80/2.68	
17.80/2.68	% (17776)Memory used [KB]: 34541
17.80/2.68	% (17776)Time elapsed: 1.100 s
17.80/2.68	% (17776)------------------------------
17.80/2.68	% (17776)------------------------------
18.68/2.71	% (17783)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
20.28/2.95	% (17781)Time limit reached!
20.28/2.95	% (17781)------------------------------
20.28/2.95	% (17781)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
20.28/2.95	% (17781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
20.28/2.95	% (17781)Termination reason: Time limit
20.28/2.95	% (17781)Termination phase: Saturation
20.28/2.95	
20.28/2.95	% (17781)Memory used [KB]: 15351
20.28/2.95	% (17781)Time elapsed: 0.900 s
20.28/2.95	% (17781)------------------------------
20.28/2.95	% (17781)------------------------------
20.28/2.98	% (17784)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
26.49/3.74	% (17782)Time limit reached!
26.49/3.74	% (17782)------------------------------
26.49/3.74	% (17782)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
26.49/3.74	% (17782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
26.49/3.74	% (17782)Termination reason: Time limit
26.49/3.74	
26.49/3.74	% (17782)Memory used [KB]: 19317
26.49/3.74	% (17782)Time elapsed: 1.112 s
26.49/3.74	% (17782)------------------------------
26.49/3.74	% (17782)------------------------------
27.07/3.79	% (17785)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
27.07/3.80	% (17785)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
27.07/3.83	% (17766)Time limit reached!
27.07/3.83	% (17766)------------------------------
27.07/3.83	% (17766)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
27.07/3.83	% (17766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
27.07/3.83	% (17766)Termination reason: Time limit
27.07/3.83	% (17766)Termination phase: Saturation
27.07/3.83	
27.07/3.83	% (17766)Memory used [KB]: 18677
27.07/3.83	% (17766)Time elapsed: 3.400 s
27.07/3.83	% (17766)------------------------------
27.07/3.83	% (17766)------------------------------
27.07/3.86	% (17786)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
27.07/3.86	% (17786)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
28.57/4.05	% (17771)Time limit reached!
28.57/4.05	% (17771)------------------------------
28.57/4.05	% (17771)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
28.57/4.05	% (17771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
28.57/4.05	% (17771)Termination reason: Time limit
28.57/4.05	% (17771)Termination phase: Saturation
28.57/4.05	
28.57/4.05	% (17771)Memory used [KB]: 42728
28.57/4.05	% (17771)Time elapsed: 3.100 s
28.57/4.05	% (17771)------------------------------
28.57/4.05	% (17771)------------------------------
28.57/4.08	% (17787)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
28.57/4.08	% (17787)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
33.72/4.61	% (17786)First to succeed.
33.72/4.62	% (17786)Refutation found. Thanks to Tanya!
33.72/4.62	% SZS status Theorem for theBenchmark
33.72/4.62	% SZS output start Proof for theBenchmark
33.72/4.62	thf(type_def_5, type, a: $tType).
33.72/4.62	thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
33.72/4.62	thf(func_def_0, type, a: $tType).
33.72/4.62	thf(func_def_1, type, cE: a > $o).
33.72/4.62	thf(func_def_2, type, cA: (a > $o) > $o).
33.72/4.62	thf(func_def_4, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
33.72/4.62	thf(func_def_7, type, vOR: $o > $o > $o).
33.72/4.62	thf(func_def_8, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
33.72/4.62	thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
33.72/4.62	thf(func_def_10, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
33.72/4.62	thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
33.72/4.62	thf(func_def_12, type, sP0: ((a > $o) > $o) > (a > $o) > $o).
33.72/4.62	thf(func_def_13, type, sP1: (a > $o) > $o).
33.72/4.62	thf(func_def_14, type, sP2: (a > $o) > $o).
33.72/4.62	thf(func_def_15, type, sP3: (a > $o) > $o).
33.72/4.62	thf(func_def_16, type, sP4: (a > $o) > $o).
33.72/4.62	thf(func_def_19, type, sK7: a > $o).
33.72/4.62	thf(func_def_20, type, sK8: a > $o).
33.72/4.62	thf(func_def_21, type, sK9: (a > $o) > (a > $o) > a).
33.72/4.62	thf(func_def_22, type, sK10: (a > $o) > (a > $o) > $o).
33.72/4.62	thf(func_def_23, type, sK11: (a > $o) > a > $o).
33.72/4.62	thf(func_def_24, type, sK12: (a > $o) > a).
33.72/4.62	thf(func_def_25, type, sK13: ((a > $o) > $o) > (a > $o) > a).
33.72/4.62	thf(func_def_26, type, sK14: ((a > $o) > $o) > a > $o).
33.72/4.62	thf(func_def_31, type, vAND: $o > $o > $o).
33.72/4.62	thf(func_def_32, type, vIMP: $o > $o > $o).
33.72/4.62	thf(func_def_33, type, vNOT: $o > $o).
33.72/4.62	thf(func_def_34, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
33.72/4.62	thf(func_def_35, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
33.72/4.62	thf(func_def_36, type, sK16: a).
33.72/4.62	thf(func_def_37, type, sK17: (a > $o) > (a > $o) > a).
33.72/4.62	thf(func_def_38, type, sK18: (a > $o) > a).
33.72/4.62	thf(func_def_39, type, sK19: (a > $o) > (a > $o) > a).
33.72/4.62	thf(func_def_40, type, sK20: a).
33.72/4.62	thf(func_def_41, type, sK21: (a > $o) > (a > $o) > a).
33.72/4.62	thf(f9445,plain,(
33.72/4.62	  $false),
33.72/4.62	  inference(avatar_sat_refutation,[],[f76,f80,f103,f5718,f7562,f7715,f7754,f7756,f7761,f8954,f9268,f9440])).
33.72/4.62	thf(f9440,plain,(
33.72/4.62	  ~spl15_13 | ~spl15_70),
33.72/4.62	  inference(avatar_contradiction_clause,[],[f9439])).
33.72/4.62	thf(f9439,plain,(
33.72/4.62	  $false | (~spl15_13 | ~spl15_70)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f9436])).
33.72/4.62	thf(f9436,plain,(
33.72/4.62	  ($true != $true) | (~spl15_13 | ~spl15_70)),
33.72/4.62	  inference(superposition,[],[f9395,f248])).
33.72/4.62	thf(f248,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ~spl15_13),
33.72/4.62	  inference(avatar_component_clause,[],[f246])).
33.72/4.62	thf(f246,plain,(
33.72/4.62	  spl15_13 <=> ($true = vAPP(sTfun(a,$o),$o,sP3,cE))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_13])])).
33.72/4.62	thf(f9395,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP3,cE)) | ~spl15_70),
33.72/4.62	  inference(trivial_inequality_removal,[],[f9390])).
33.72/4.62	thf(f9390,plain,(
33.72/4.62	  ($true = $false) | ($true != vAPP(sTfun(a,$o),$o,sP3,cE)) | ~spl15_70),
33.72/4.62	  inference(superposition,[],[f7706,f4912])).
33.72/4.62	thf(f4912,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X0)) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(trivial_inequality_removal,[],[f4888])).
33.72/4.62	thf(f4888,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0)) | ($false = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X0))) )),
33.72/4.62	  inference(superposition,[],[f57,f4127])).
33.72/4.62	thf(f4127,plain,(
33.72/4.62	  ( ! [X9 : $o] : (($true = X9) | ($false = X9)) )),
33.72/4.62	  inference(duplicate_literal_removal,[],[f4126])).
33.72/4.62	thf(f4126,plain,(
33.72/4.62	  ( ! [X9 : $o] : (($false = X9) | ($true = X9) | ($false = X9)) )),
33.72/4.62	  inference(combinator_demodulation,[],[f4116])).
33.72/4.62	thf(f4116,plain,(
33.72/4.62	  ( ! [X9 : $o] : (($false = X9) | ($true = vAPP(sTfun(a,$o),$o,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,X9),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($false = vAPP(sTfun(a,$o),$o,vAPP($o,sTfun(sTfun(a,$o),$o),kCOMB,X9),cE))) )),
33.72/4.62	  inference(kx_narrow,[],[f597])).
33.72/4.62	thf(f597,plain,(
33.72/4.62	  ( ! [X13 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,X13,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),vAPP(sTfun($o,$o),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),bCOMB,vNOT),X13)))) | ($true = vAPP(sTfun(a,$o),$o,X13,vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($false = vAPP(sTfun(a,$o),$o,X13,cE))) )),
33.72/4.62	  inference(not_proxy_clausification,[],[f596])).
33.72/4.62	thf(f596,plain,(
33.72/4.62	  ( ! [X13 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,X13,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),vAPP(sTfun($o,$o),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),bCOMB,vNOT),X13)))) | ($true = vAPP(sTfun(a,$o),$o,X13,vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,cE)))) )),
33.72/4.62	  inference(not_proxy_clausification,[],[f595])).
33.72/4.62	thf(f595,plain,(
33.72/4.62	  ( ! [X13 : (a > $o) > $o] : (($false = vAPP(sTfun(a,$o),$o,X13,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),vAPP(sTfun($o,$o),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),bCOMB,vNOT),X13)))) | ($true != vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true = vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,cE)))) )),
33.72/4.62	  inference(not_proxy_clausification,[],[f553])).
33.72/4.62	thf(f553,plain,(
33.72/4.62	  ( ! [X13 : (a > $o) > $o] : (($true = vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),vAPP(sTfun($o,$o),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),bCOMB,vNOT),X13))))) | ($true != vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true = vAPP($o,$o,vNOT,vAPP(sTfun(a,$o),$o,X13,cE)))) )),
33.72/4.62	  inference(primitive_instantiation,[],[f114])).
33.72/4.62	thf(f114,plain,(
33.72/4.62	  ( ! [X6 : $tType,X8 : (a > $o) > X6,X7 : X6 > $o] : (($true = vAPP(X6,$o,X7,vAPP(sTfun(a,$o),X6,X8,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o),vAPP(sTfun(X6,$o),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o)),bCOMB,X7),X8))))) | ($true != vAPP(X6,$o,X7,vAPP(sTfun(a,$o),X6,X8,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true = vAPP(X6,$o,X7,vAPP(sTfun(a,$o),X6,X8,cE)))) )),
33.72/4.62	  inference(combinator_demodulation,[],[f110])).
33.72/4.62	thf(f110,plain,(
33.72/4.62	  ( ! [X6 : $tType,X8 : (a > $o) > X6,X7 : X6 > $o] : (($true = vAPP(X6,$o,X7,vAPP(sTfun(a,$o),X6,X8,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o),vAPP(sTfun(X6,$o),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o)),bCOMB,X7),X8))))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o),vAPP(sTfun(X6,$o),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o)),bCOMB,X7),X8),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o),vAPP(sTfun(X6,$o),sTfun(sTfun(sTfun(a,$o),X6),sTfun(sTfun(a,$o),$o)),bCOMB,X7),X8),cE))) )),
33.72/4.62	  inference(bxx_narrow,[],[f65])).
33.72/4.62	thf(f65,plain,(
33.72/4.62	  ( ! [X0 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0))) | ($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (vAPP(sTfun(a,$o),$o,X0,cE) = $true)) )),
33.72/4.62	  inference(cnf_transformation,[],[f46])).
33.72/4.62	thf(f46,plain,(
33.72/4.62	  (($true = sP6) | ($true = sP5)) & ! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,cE) = $true) | ($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0))) & ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0)))))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f16,f45])).
33.72/4.62	thf(f45,plain,(
33.72/4.62	  ! [X0 : (a > $o) > $o] : (? [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1)) & (vAPP(sTfun(a,$o),$o,X0,X1) = $true)) => (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0))) & ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f16,plain,(
33.72/4.62	  (($true = sP6) | ($true = sP5)) & ! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,cE) = $true) | ($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | ? [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1)) & (vAPP(sTfun(a,$o),$o,X0,X1) = $true)))),
33.72/4.62	  inference(definition_folding,[],[f8,f15,f14,f13,f12,f11,f10,f9])).
33.72/4.62	thf(f9,plain,(
33.72/4.62	  ! [X1 : a > $o,X0 : (a > $o) > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X1))) & (vAPP(a,$o,cE,X2) = $true)) | ~($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1)))),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f10,plain,(
33.72/4.62	  ! [X10 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X10)) | ? [X12 : a] : (($true != vAPP(a,$o,X10,X12)) & ($true = vAPP(a,$o,cE,X12))) | ~($true = vAPP(sTfun(a,$o),$o,sP1,X10)))),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f11,plain,(
33.72/4.62	  ! [X5 : a > $o] : (? [X10 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP1,X10)) & ($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X11 : a] : (($true = vAPP(a,$o,X10,X11)) | ($true != vAPP(a,$o,X5,X11)))) | ~($true = vAPP(sTfun(a,$o),$o,sP2,X5)))),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f12,plain,(
33.72/4.62	  ! [X5 : a > $o] : (? [X6 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X6,X5)) & ! [X7 : a > $o] : (! [X8 : a] : (($true = vAPP(sTfun(a,$o),$o,X6,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X8))),X7))) | ($true != vAPP(a,$o,X5,X8))) | ($true != vAPP(sTfun(a,$o),$o,X6,X7))) & ($true = vAPP(sTfun(a,$o),$o,X6,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ~($true = vAPP(sTfun(a,$o),$o,sP3,X5)))),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f13,plain,(
33.72/4.62	  ! [X3 : a > $o] : (! [X5 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP3,X5)) | ? [X9 : a] : (($true != vAPP(a,$o,X3,X9)) & ($true = vAPP(a,$o,X5,X9))) | ($true = vAPP(sTfun(a,$o),$o,sP2,X5))) | ~($true = vAPP(sTfun(a,$o),$o,sP4,X3)))),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f14,plain,(
33.72/4.62	  ? [X13 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X13)) & ! [X14 : a] : (($true = vAPP(a,$o,X13,X14)) | ($true != vAPP(a,$o,cE,X14))) & ($true = vAPP(sTfun(a,$o),$o,cA,X13))) | ~($true = sP5)),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f15,plain,(
33.72/4.62	  ? [X3 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP4,X3)) & ! [X4 : a] : (($true = vAPP(a,$o,X3,X4)) | ($true != vAPP(a,$o,cE,X4))) & ($true = vAPP(sTfun(a,$o),$o,cA,X3))) | ~($true = sP6)),
33.72/4.62	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
33.72/4.62	thf(f8,plain,(
33.72/4.62	  (? [X3 : a > $o] : (! [X5 : a > $o] : (? [X6 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X6,X5)) & ! [X7 : a > $o] : (! [X8 : a] : (($true = vAPP(sTfun(a,$o),$o,X6,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X8))),X7))) | ($true != vAPP(a,$o,X5,X8))) | ($true != vAPP(sTfun(a,$o),$o,X6,X7))) & ($true = vAPP(sTfun(a,$o),$o,X6,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ? [X9 : a] : (($true != vAPP(a,$o,X3,X9)) & ($true = vAPP(a,$o,X5,X9))) | ? [X10 : a > $o] : ((($true != vAPP(sTfun(a,$o),$o,cA,X10)) | ? [X12 : a] : (($true != vAPP(a,$o,X10,X12)) & ($true = vAPP(a,$o,cE,X12)))) & ($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X11 : a] : (($true = vAPP(a,$o,X10,X11)) | ($true != vAPP(a,$o,X5,X11))))) & ! [X4 : a] : (($true = vAPP(a,$o,X3,X4)) | ($true != vAPP(a,$o,cE,X4))) & ($true = vAPP(sTfun(a,$o),$o,cA,X3))) | ? [X13 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X13)) & ! [X14 : a] : (($true = vAPP(a,$o,X13,X14)) | ($true != vAPP(a,$o,cE,X14))) & ($true = vAPP(sTfun(a,$o),$o,cA,X13)))) & ! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,cE) = $true) | ($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | ? [X1 : a > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X1))) & (vAPP(a,$o,cE,X2) = $true)) & (vAPP(sTfun(a,$o),$o,X0,X1) = $true)))),
33.72/4.62	  inference(flattening,[],[f7])).
33.72/4.62	thf(f7,plain,(
33.72/4.62	  (? [X3 : a > $o] : (! [X5 : a > $o] : (? [X6 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X6,X5)) & (! [X7 : a > $o] : (! [X8 : a] : (($true = vAPP(sTfun(a,$o),$o,X6,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X8))),X7))) | ($true != vAPP(a,$o,X5,X8))) | ($true != vAPP(sTfun(a,$o),$o,X6,X7))) & ($true = vAPP(sTfun(a,$o),$o,X6,vAPP($o,sTfun(a,$o),kCOMB,$false))))) | ? [X9 : a] : (($true != vAPP(a,$o,X3,X9)) & ($true = vAPP(a,$o,X5,X9))) | ? [X10 : a > $o] : ((($true != vAPP(sTfun(a,$o),$o,cA,X10)) | ? [X12 : a] : (($true != vAPP(a,$o,X10,X12)) & ($true = vAPP(a,$o,cE,X12)))) & (($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X11 : a] : (($true = vAPP(a,$o,X10,X11)) | ($true != vAPP(a,$o,X5,X11)))))) & (! [X4 : a] : (($true = vAPP(a,$o,X3,X4)) | ($true != vAPP(a,$o,cE,X4))) & ($true = vAPP(sTfun(a,$o),$o,cA,X3)))) | ? [X13 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X13)) & (! [X14 : a] : (($true = vAPP(a,$o,X13,X14)) | ($true != vAPP(a,$o,cE,X14))) & ($true = vAPP(sTfun(a,$o),$o,cA,X13))))) & ! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,cE) = $true) | (($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | ? [X1 : a > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X1))) & (vAPP(a,$o,cE,X2) = $true)) & (vAPP(sTfun(a,$o),$o,X0,X1) = $true))))),
33.72/4.62	  inference(ennf_transformation,[],[f6])).
33.72/4.62	thf(f6,plain,(
33.72/4.62	  ~(! [X0 : (a > $o) > $o] : ((($true = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) & ! [X1 : a > $o] : ((vAPP(sTfun(a,$o),$o,X0,X1) = $true) => ! [X2 : a] : ((vAPP(a,$o,cE,X2) = $true) => ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X1)))))) => (vAPP(sTfun(a,$o),$o,X0,cE) = $true)) => (! [X3 : a > $o] : ((! [X4 : a] : (($true = vAPP(a,$o,cE,X4)) => ($true = vAPP(a,$o,X3,X4))) & ($true = vAPP(sTfun(a,$o),$o,cA,X3))) => ? [X5 : a > $o] : (! [X6 : (a > $o) > $o] : ((! [X7 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X6,X7)) => ! [X8 : a] : (($true = vAPP(a,$o,X5,X8)) => ($true = vAPP(sTfun(a,$o),$o,X6,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X8))),X7))))) & ($true = vAPP(sTfun(a,$o),$o,X6,vAPP($o,sTfun(a,$o),kCOMB,$false)))) => ($true = vAPP(sTfun(a,$o),$o,X6,X5))) & ! [X9 : a] : (($true = vAPP(a,$o,X5,X9)) => ($true = vAPP(a,$o,X3,X9))) & ! [X10 : a > $o] : ((($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X11 : a] : (($true = vAPP(a,$o,X5,X11)) => ($true = vAPP(a,$o,X10,X11)))) => (($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X12 : a] : (($true = vAPP(a,$o,cE,X12)) => ($true = vAPP(a,$o,X10,X12))))))) & ! [X13 : a > $o] : ((! [X14 : a] : (($true = vAPP(a,$o,cE,X14)) => ($true = vAPP(a,$o,X13,X14))) & ($true = vAPP(sTfun(a,$o),$o,cA,X13))) => ($true = vAPP(sTfun(a,$o),$o,cA,X13)))))),
33.72/4.62	  inference(rectify,[],[f5])).
33.72/4.62	thf(f5,plain,(
33.72/4.62	  ~(! [X0 : (a > $o) > $o] : ((($true = vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) & ! [X2 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X0,X2)) => ! [X3 : a] : (($true = vAPP(a,$o,cE,X3)) => ($true = vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2)))))) => (vAPP(sTfun(a,$o),$o,X0,cE) = $true)) => (! [X5 : a > $o] : ((! [X6 : a] : (($true = vAPP(a,$o,cE,X6)) => ($true = vAPP(a,$o,X5,X6))) & ($true = vAPP(sTfun(a,$o),$o,cA,X5))) => ? [X7 : a > $o] : (! [X8 : (a > $o) > $o] : ((! [X9 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X8,X9)) => ! [X10 : a] : (($true = vAPP(a,$o,X7,X10)) => ($true = vAPP(sTfun(a,$o),$o,X8,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X10))),X9))))) & ($true = vAPP(sTfun(a,$o),$o,X8,vAPP($o,sTfun(a,$o),kCOMB,$false)))) => ($true = vAPP(sTfun(a,$o),$o,X8,X7))) & ! [X13 : a] : (($true = vAPP(a,$o,X7,X13)) => ($true = vAPP(a,$o,X5,X13))) & ! [X14 : a > $o] : ((($true = vAPP(sTfun(a,$o),$o,cA,X14)) & ! [X15 : a] : (($true = vAPP(a,$o,X7,X15)) => ($true = vAPP(a,$o,X14,X15)))) => (($true = vAPP(sTfun(a,$o),$o,cA,X14)) & ! [X16 : a] : (($true = vAPP(a,$o,cE,X16)) => ($true = vAPP(a,$o,X14,X16))))))) & ! [X17 : a > $o] : ((! [X18 : a] : (($true = vAPP(a,$o,cE,X18)) => ($true = vAPP(a,$o,X17,X18))) & ($true = vAPP(sTfun(a,$o),$o,cA,X17))) => ($true = vAPP(sTfun(a,$o),$o,cA,X17)))))),
33.72/4.62	  inference(fool_elimination,[],[f4])).
33.72/4.62	thf(f4,plain,(
33.72/4.62	  ~(! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,(^[X1 : a] : ($false))) & ! [X2 : a > $o] : (vAPP(sTfun(a,$o),$o,X0,X2) => ! [X3 : a] : (vAPP(a,$o,cE,X3) => vAPP(sTfun(a,$o),$o,X0,(^[X4 : a] : (vAPP(a,$o,X2,X4) | (X3 = X4))))))) => vAPP(sTfun(a,$o),$o,X0,cE)) => (! [X5 : a > $o] : ((! [X6 : a] : (vAPP(a,$o,cE,X6) => vAPP(a,$o,X5,X6)) & vAPP(sTfun(a,$o),$o,cA,X5)) => ? [X7 : a > $o] : (! [X8 : (a > $o) > $o] : ((! [X9 : a > $o] : (vAPP(sTfun(a,$o),$o,X8,X9) => ! [X10 : a] : (vAPP(a,$o,X7,X10) => vAPP(sTfun(a,$o),$o,X8,(^[X11 : a] : (vAPP(a,$o,X9,X11) | (X10 = X11)))))) & vAPP(sTfun(a,$o),$o,X8,(^[X12 : a] : ($false)))) => vAPP(sTfun(a,$o),$o,X8,X7)) & ! [X13 : a] : (vAPP(a,$o,X7,X13) => vAPP(a,$o,X5,X13)) & ! [X14 : a > $o] : ((vAPP(sTfun(a,$o),$o,cA,X14) & ! [X15 : a] : (vAPP(a,$o,X7,X15) => vAPP(a,$o,X14,X15))) => (vAPP(sTfun(a,$o),$o,cA,X14) & ! [X16 : a] : (vAPP(a,$o,cE,X16) => vAPP(a,$o,X14,X16)))))) & ! [X17 : a > $o] : ((! [X18 : a] : (vAPP(a,$o,cE,X18) => vAPP(a,$o,X17,X18)) & vAPP(sTfun(a,$o),$o,cA,X17)) => vAPP(sTfun(a,$o),$o,cA,X17))))),
33.72/4.62	  inference(rectify,[],[f2])).
33.72/4.62	thf(f2,negated_conjecture,(
33.72/4.62	  ~(! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,(^[X4 : a] : ($false))) & ! [X1 : a > $o] : (vAPP(sTfun(a,$o),$o,X0,X1) => ! [X2 : a] : (vAPP(a,$o,cE,X2) => vAPP(sTfun(a,$o),$o,X0,(^[X3 : a] : (vAPP(a,$o,X1,X3) | (X2 = X3))))))) => vAPP(sTfun(a,$o),$o,X0,cE)) => (! [X1 : a > $o] : ((! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X1,X5)) & vAPP(sTfun(a,$o),$o,cA,X1)) => ? [X6 : a > $o] : (! [X0 : (a > $o) > $o] : ((! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X0,X5) => ! [X2 : a] : (vAPP(a,$o,X6,X2) => vAPP(sTfun(a,$o),$o,X0,(^[X3 : a] : (vAPP(a,$o,X5,X3) | (X2 = X3)))))) & vAPP(sTfun(a,$o),$o,X0,(^[X4 : a] : ($false)))) => vAPP(sTfun(a,$o),$o,X0,X6)) & ! [X5 : a] : (vAPP(a,$o,X6,X5) => vAPP(a,$o,X1,X5)) & ! [X4 : a > $o] : ((vAPP(sTfun(a,$o),$o,cA,X4) & ! [X5 : a] : (vAPP(a,$o,X6,X5) => vAPP(a,$o,X4,X5))) => (vAPP(sTfun(a,$o),$o,cA,X4) & ! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X4,X5)))))) & ! [X1 : a > $o] : ((! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X1,X5)) & vAPP(sTfun(a,$o),$o,cA,X1)) => vAPP(sTfun(a,$o),$o,cA,X1))))),
33.72/4.62	  inference(negated_conjecture,[],[f1])).
33.72/4.62	thf(f1,conjecture,(
33.72/4.62	  ! [X0 : (a > $o) > $o] : ((vAPP(sTfun(a,$o),$o,X0,(^[X4 : a] : ($false))) & ! [X1 : a > $o] : (vAPP(sTfun(a,$o),$o,X0,X1) => ! [X2 : a] : (vAPP(a,$o,cE,X2) => vAPP(sTfun(a,$o),$o,X0,(^[X3 : a] : (vAPP(a,$o,X1,X3) | (X2 = X3))))))) => vAPP(sTfun(a,$o),$o,X0,cE)) => (! [X1 : a > $o] : ((! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X1,X5)) & vAPP(sTfun(a,$o),$o,cA,X1)) => ? [X6 : a > $o] : (! [X0 : (a > $o) > $o] : ((! [X5 : a > $o] : (vAPP(sTfun(a,$o),$o,X0,X5) => ! [X2 : a] : (vAPP(a,$o,X6,X2) => vAPP(sTfun(a,$o),$o,X0,(^[X3 : a] : (vAPP(a,$o,X5,X3) | (X2 = X3)))))) & vAPP(sTfun(a,$o),$o,X0,(^[X4 : a] : ($false)))) => vAPP(sTfun(a,$o),$o,X0,X6)) & ! [X5 : a] : (vAPP(a,$o,X6,X5) => vAPP(a,$o,X1,X5)) & ! [X4 : a > $o] : ((vAPP(sTfun(a,$o),$o,cA,X4) & ! [X5 : a] : (vAPP(a,$o,X6,X5) => vAPP(a,$o,X4,X5))) => (vAPP(sTfun(a,$o),$o,cA,X4) & ! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X4,X5)))))) & ! [X1 : a > $o] : ((! [X5 : a] : (vAPP(a,$o,cE,X5) => vAPP(a,$o,X1,X5)) & vAPP(sTfun(a,$o),$o,cA,X1)) => vAPP(sTfun(a,$o),$o,cA,X1)))),
33.72/4.62	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
33.72/4.62	thf(f57,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X0)) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f32])).
33.72/4.62	thf(f32,plain,(
33.72/4.62	  ! [X0 : a > $o] : ((($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X0)) & ! [X2 : a > $o] : (! [X3 : a] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2))) | ($true != vAPP(a,$o,X0,X3))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X2))) & ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0)))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f30,f31])).
33.72/4.62	thf(f31,plain,(
33.72/4.62	  ! [X0 : a > $o] : (? [X1 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X1,X0)) & ! [X2 : a > $o] : (! [X3 : a] : (($true = vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2))) | ($true != vAPP(a,$o,X0,X3))) | ($true != vAPP(sTfun(a,$o),$o,X1,X2))) & ($true = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,$false)))) => (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X0)) & ! [X2 : a > $o] : (! [X3 : a] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2))) | ($true != vAPP(a,$o,X0,X3))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X2))) & ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP($o,sTfun(a,$o),kCOMB,$false)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f30,plain,(
33.72/4.62	  ! [X0 : a > $o] : (? [X1 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X1,X0)) & ! [X2 : a > $o] : (! [X3 : a] : (($true = vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2))) | ($true != vAPP(a,$o,X0,X3))) | ($true != vAPP(sTfun(a,$o),$o,X1,X2))) & ($true = vAPP(sTfun(a,$o),$o,X1,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0)))),
33.72/4.62	  inference(rectify,[],[f29])).
33.72/4.62	thf(f29,plain,(
33.72/4.62	  ! [X5 : a > $o] : (? [X6 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X6,X5)) & ! [X7 : a > $o] : (! [X8 : a] : (($true = vAPP(sTfun(a,$o),$o,X6,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X8))),X7))) | ($true != vAPP(a,$o,X5,X8))) | ($true != vAPP(sTfun(a,$o),$o,X6,X7))) & ($true = vAPP(sTfun(a,$o),$o,X6,vAPP($o,sTfun(a,$o),kCOMB,$false)))) | ($true != vAPP(sTfun(a,$o),$o,sP3,X5)))),
33.72/4.62	  inference(nnf_transformation,[],[f12])).
33.72/4.62	thf(f7706,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE)) | ~spl15_70),
33.72/4.62	  inference(avatar_component_clause,[],[f7704])).
33.72/4.62	thf(f7704,plain,(
33.72/4.62	  spl15_70 <=> ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_70])])).
33.72/4.62	thf(f9268,plain,(
33.72/4.62	  ~spl15_13 | spl15_71),
33.72/4.62	  inference(avatar_contradiction_clause,[],[f9267])).
33.72/4.62	thf(f9267,plain,(
33.72/4.62	  $false | (~spl15_13 | spl15_71)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f9264])).
33.72/4.62	thf(f9264,plain,(
33.72/4.62	  ($true != $true) | (~spl15_13 | spl15_71)),
33.72/4.62	  inference(superposition,[],[f9208,f248])).
33.72/4.62	thf(f9208,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP3,cE)) | spl15_71),
33.72/4.62	  inference(trivial_inequality_removal,[],[f9207])).
33.72/4.62	thf(f9207,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,sP3,cE)) | spl15_71),
33.72/4.62	  inference(superposition,[],[f7710,f55])).
33.72/4.62	thf(f55,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f32])).
33.72/4.62	thf(f7710,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false))) | spl15_71),
33.72/4.62	  inference(avatar_component_clause,[],[f7708])).
33.72/4.62	thf(f7708,plain,(
33.72/4.62	  spl15_71 <=> ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false)))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_71])])).
33.72/4.62	thf(f8954,plain,(
33.72/4.62	  spl15_70 | ~spl15_71 | spl15_72),
33.72/4.62	  inference(avatar_split_clause,[],[f8795,f7712,f7708,f7704])).
33.72/4.62	thf(f7712,plain,(
33.72/4.62	  spl15_72 <=> ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE))))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_72])])).
33.72/4.62	thf(f8795,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE)) | spl15_72),
33.72/4.62	  inference(trivial_inequality_removal,[],[f8794])).
33.72/4.62	thf(f8794,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE)) | spl15_72),
33.72/4.62	  inference(superposition,[],[f7714,f65])).
33.72/4.62	thf(f7714,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)))) | spl15_72),
33.72/4.62	  inference(avatar_component_clause,[],[f7712])).
33.72/4.62	thf(f7761,plain,(
33.72/4.62	  ~spl15_2 | spl15_14 | spl15_13 | ~spl15_2 | ~spl15_3),
33.72/4.62	  inference(avatar_split_clause,[],[f6268,f78,f73,f246,f250,f73])).
33.72/4.62	thf(f250,plain,(
33.72/4.62	  spl15_14 <=> ($true = vAPP(sTfun(a,$o),$o,sP2,cE))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_14])])).
33.72/4.62	thf(f73,plain,(
33.72/4.62	  spl15_2 <=> ($true = vAPP(sTfun(a,$o),$o,sP4,sK7))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_2])])).
33.72/4.62	thf(f78,plain,(
33.72/4.62	  spl15_3 <=> ! [X1 : a] : (($true = vAPP(a,$o,sK7,X1)) | ($true != vAPP(a,$o,cE,X1)))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_3])])).
33.72/4.62	thf(f6268,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f6267])).
33.72/4.62	thf(f6267,plain,(
33.72/4.62	  ($true = $false) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(duplicate_literal_removal,[],[f6262])).
33.72/4.62	thf(f6262,plain,(
33.72/4.62	  ($true = $false) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(superposition,[],[f53,f5284])).
33.72/4.62	thf(f5284,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($false = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X0),sK7))) | ($true = vAPP(sTfun(a,$o),$o,sP3,X0)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X0))) ) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f5280])).
33.72/4.62	thf(f5280,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != $true) | ($true = vAPP(sTfun(a,$o),$o,sP2,X0)) | ($true = vAPP(sTfun(a,$o),$o,sP3,X0)) | ($false = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X0),sK7)))) ) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(superposition,[],[f371,f4127])).
33.72/4.62	thf(f371,plain,(
33.72/4.62	  ( ! [X3 : a > $o] : (($true != vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X3),sK7))) | ($true = vAPP(sTfun(a,$o),$o,sP2,X3)) | ($true = vAPP(sTfun(a,$o),$o,sP3,X3))) ) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f370])).
33.72/4.62	thf(f370,plain,(
33.72/4.62	  ( ! [X3 : a > $o] : (($true != $true) | ($true = vAPP(sTfun(a,$o),$o,sP3,X3)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X3)) | ($true != vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X3),sK7)))) ) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(forward_demodulation,[],[f350,f75])).
33.72/4.62	thf(f75,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP4,sK7)) | ~spl15_2),
33.72/4.62	  inference(avatar_component_clause,[],[f73])).
33.72/4.62	thf(f350,plain,(
33.72/4.62	  ( ! [X3 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP3,X3)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X3)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | ($true != vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X3),sK7)))) ) | ~spl15_3),
33.72/4.62	  inference(trivial_inequality_removal,[],[f349])).
33.72/4.62	thf(f349,plain,(
33.72/4.62	  ( ! [X3 : a > $o] : (($true != $true) | ($true = vAPP(sTfun(a,$o),$o,sP3,X3)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X3)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | ($true != vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X3),sK7)))) ) | ~spl15_3),
33.72/4.62	  inference(superposition,[],[f54,f79])).
33.72/4.62	thf(f79,plain,(
33.72/4.62	  ( ! [X1 : a] : (($true = vAPP(a,$o,sK7,X1)) | ($true != vAPP(a,$o,cE,X1))) ) | ~spl15_3),
33.72/4.62	  inference(avatar_component_clause,[],[f78])).
33.72/4.62	thf(f54,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : a > $o] : (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0))) | ($true = vAPP(sTfun(a,$o),$o,sP3,X1)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X1)) | ($true != vAPP(sTfun(a,$o),$o,sP4,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f28])).
33.72/4.62	thf(f28,plain,(
33.72/4.62	  ! [X0 : a > $o] : (! [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP3,X1)) | (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0))) & ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0)))) | ($true = vAPP(sTfun(a,$o),$o,sP2,X1))) | ($true != vAPP(sTfun(a,$o),$o,sP4,X0)))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f26,f27])).
33.72/4.62	thf(f27,plain,(
33.72/4.62	  ! [X0 : a > $o,X1 : a > $o] : (? [X2 : a] : (($true != vAPP(a,$o,X0,X2)) & ($true = vAPP(a,$o,X1,X2))) => (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0))) & ($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f26,plain,(
33.72/4.62	  ! [X0 : a > $o] : (! [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP3,X1)) | ? [X2 : a] : (($true != vAPP(a,$o,X0,X2)) & ($true = vAPP(a,$o,X1,X2))) | ($true = vAPP(sTfun(a,$o),$o,sP2,X1))) | ($true != vAPP(sTfun(a,$o),$o,sP4,X0)))),
33.72/4.62	  inference(rectify,[],[f25])).
33.72/4.62	thf(f25,plain,(
33.72/4.62	  ! [X3 : a > $o] : (! [X5 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP3,X5)) | ? [X9 : a] : (($true != vAPP(a,$o,X3,X9)) & ($true = vAPP(a,$o,X5,X9))) | ($true = vAPP(sTfun(a,$o),$o,sP2,X5))) | ($true != vAPP(sTfun(a,$o),$o,sP4,X3)))),
33.72/4.62	  inference(nnf_transformation,[],[f13])).
33.72/4.62	thf(f53,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : a > $o] : (($true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK9,X1),X0))) | ($true = vAPP(sTfun(a,$o),$o,sP3,X1)) | ($true = vAPP(sTfun(a,$o),$o,sP2,X1)) | ($true != vAPP(sTfun(a,$o),$o,sP4,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f28])).
33.72/4.62	thf(f7756,plain,(
33.72/4.62	  ~spl15_13 | spl15_36),
33.72/4.62	  inference(avatar_split_clause,[],[f3620,f925,f246])).
33.72/4.62	thf(f925,plain,(
33.72/4.62	  spl15_36 <=> ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),X0)))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_36])])).
33.72/4.62	thf(f3620,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),X0)) | ($true != vAPP(sTfun(a,$o),$o,sP3,cE))) )),
33.72/4.62	  inference(trivial_inequality_removal,[],[f3619])).
33.72/4.62	thf(f3619,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),X0)) | ($true != vAPP(sTfun(a,$o),$o,sP3,cE))) )),
33.72/4.62	  inference(duplicate_literal_removal,[],[f3611])).
33.72/4.62	thf(f3611,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),X0)) | ($true != vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0))) )),
33.72/4.62	  inference(superposition,[],[f391,f63])).
33.72/4.62	thf(f63,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : (a > $o) > $o] : (($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f44])).
33.72/4.62	thf(f44,plain,(
33.72/4.62	  ! [X0 : a > $o,X1 : (a > $o) > $o] : ((($true != vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0)))),X0))) & ($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0)))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0)))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f42,f43])).
33.72/4.62	thf(f43,plain,(
33.72/4.62	  ! [X0 : a > $o,X1 : (a > $o) > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X0))) & (vAPP(a,$o,cE,X2) = $true)) => (($true != vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0)))),X0))) & ($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f42,plain,(
33.72/4.62	  ! [X0 : a > $o,X1 : (a > $o) > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X0))) & (vAPP(a,$o,cE,X2) = $true)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0)))),
33.72/4.62	  inference(rectify,[],[f41])).
33.72/4.62	thf(f41,plain,(
33.72/4.62	  ! [X1 : a > $o,X0 : (a > $o) > $o] : (? [X2 : a] : (($true != vAPP(sTfun(a,$o),$o,X0,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X2))),X1))) & (vAPP(a,$o,cE,X2) = $true)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1)))),
33.72/4.62	  inference(nnf_transformation,[],[f9])).
33.72/4.62	thf(f391,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : a > $o] : (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0)),X1))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0)),X1)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X1)) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(trivial_inequality_removal,[],[f383])).
33.72/4.62	thf(f383,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0)),X1)) | ($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0)),X1))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X1)) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(superposition,[],[f64,f56])).
33.72/4.62	thf(f56,plain,(
33.72/4.62	  ( ! [X2 : a > $o,X3 : a,X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),X3))),X2))) | ($true != vAPP(a,$o,X0,X3)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,X0),X2)) | ($true != vAPP(sTfun(a,$o),$o,sP3,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f32])).
33.72/4.62	thf(f64,plain,(
33.72/4.62	  ( ! [X0 : a > $o,X1 : (a > $o) > $o] : (($true != vAPP(sTfun(a,$o),$o,X1,vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vOR),vAPP(a,sTfun(a,$o),vEQ(a),vAPP(sTfun(a,$o),a,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),a),sK13,X1),X0)))),X0))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f44])).
33.72/4.62	thf(f7754,plain,(
33.72/4.62	  ~spl15_2 | spl15_13 | ~spl15_2 | ~spl15_3 | spl15_28),
33.72/4.62	  inference(avatar_split_clause,[],[f7753,f480,f78,f73,f246,f73])).
33.72/4.62	thf(f480,plain,(
33.72/4.62	  spl15_28 <=> ($true = vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE)))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_28])])).
33.72/4.62	thf(f7753,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3 | spl15_28)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f7752])).
33.72/4.62	thf(f7752,plain,(
33.72/4.62	  ($true = $false) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3 | spl15_28)),
33.72/4.62	  inference(forward_demodulation,[],[f6271,f7656])).
33.72/4.62	thf(f7656,plain,(
33.72/4.62	  ($false = vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_28),
33.72/4.62	  inference(trivial_inequality_removal,[],[f7655])).
33.72/4.62	thf(f7655,plain,(
33.72/4.62	  ($true != $true) | ($false = vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_28),
33.72/4.62	  inference(superposition,[],[f7578,f4127])).
33.72/4.62	thf(f7578,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_28),
33.72/4.62	  inference(trivial_inequality_removal,[],[f7577])).
33.72/4.62	thf(f7577,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_28),
33.72/4.62	  inference(superposition,[],[f482,f59])).
33.72/4.62	thf(f59,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f36])).
33.72/4.62	thf(f36,plain,(
33.72/4.62	  ! [X0 : a > $o] : ((($true = vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) & ($true = vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) & ! [X2 : a] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0),X2)) | ($true != vAPP(a,$o,X0,X2)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0)))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f34,f35])).
33.72/4.62	thf(f35,plain,(
33.72/4.62	  ! [X0 : a > $o] : (? [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP1,X1)) & (vAPP(sTfun(a,$o),$o,cA,X1) = $true) & ! [X2 : a] : (($true = vAPP(a,$o,X1,X2)) | ($true != vAPP(a,$o,X0,X2)))) => (($true = vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) & ($true = vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) & ! [X2 : a] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0),X2)) | ($true != vAPP(a,$o,X0,X2)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f34,plain,(
33.72/4.62	  ! [X0 : a > $o] : (? [X1 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP1,X1)) & (vAPP(sTfun(a,$o),$o,cA,X1) = $true) & ! [X2 : a] : (($true = vAPP(a,$o,X1,X2)) | ($true != vAPP(a,$o,X0,X2)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0)))),
33.72/4.62	  inference(rectify,[],[f33])).
33.72/4.62	thf(f33,plain,(
33.72/4.62	  ! [X5 : a > $o] : (? [X10 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP1,X10)) & ($true = vAPP(sTfun(a,$o),$o,cA,X10)) & ! [X11 : a] : (($true = vAPP(a,$o,X10,X11)) | ($true != vAPP(a,$o,X5,X11)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X5)))),
33.72/4.62	  inference(nnf_transformation,[],[f11])).
33.72/4.62	thf(f482,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE))) | spl15_28),
33.72/4.62	  inference(avatar_component_clause,[],[f480])).
33.72/4.62	thf(f6271,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f6270])).
33.72/4.62	thf(f6270,plain,(
33.72/4.62	  ($true = $false) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(duplicate_literal_removal,[],[f6260])).
33.72/4.62	thf(f6260,plain,(
33.72/4.62	  ($true = $false) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP3,cE)) | ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,sP4,sK7)) | (~spl15_2 | ~spl15_3)),
33.72/4.62	  inference(superposition,[],[f5284,f53])).
33.72/4.62	thf(f7715,plain,(
33.72/4.62	  spl15_70 | ~spl15_71 | ~spl15_72 | ~spl15_36),
33.72/4.62	  inference(avatar_split_clause,[],[f7693,f925,f7712,f7708,f7704])).
33.72/4.62	thf(f7693,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE)) | ~spl15_36),
33.72/4.62	  inference(trivial_inequality_removal,[],[f7677])).
33.72/4.62	thf(f7677,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)))) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),vAPP($o,sTfun(a,$o),kCOMB,$false))) | ($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),cE)) | ~spl15_36),
33.72/4.62	  inference(superposition,[],[f926,f66])).
33.72/4.62	thf(f66,plain,(
33.72/4.62	  ( ! [X0 : (a > $o) > $o] : (($true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,X0),vAPP(sTfun(sTfun(a,$o),$o),sTfun(a,$o),sK14,X0))) | ($true != vAPP(sTfun(a,$o),$o,X0,vAPP($o,sTfun(a,$o),kCOMB,$false))) | (vAPP(sTfun(a,$o),$o,X0,cE) = $true)) )),
33.72/4.62	  inference(cnf_transformation,[],[f46])).
33.72/4.62	thf(f926,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o),sP0,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE)),X0)) | ($true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sK10,cE),X0))) ) | ~spl15_36),
33.72/4.62	  inference(avatar_component_clause,[],[f925])).
33.72/4.62	thf(f7562,plain,(
33.72/4.62	  ~spl15_27 | ~spl15_28 | ~spl15_14),
33.72/4.62	  inference(avatar_split_clause,[],[f3317,f250,f480,f476])).
33.72/4.62	thf(f476,plain,(
33.72/4.62	  spl15_27 <=> ($true = vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE)))),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_27])])).
33.72/4.62	thf(f3317,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE))) | ($true != vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE)))),
33.72/4.62	  inference(trivial_inequality_removal,[],[f3312])).
33.72/4.62	thf(f3312,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | ($true != vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE))) | ($true != vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE)))),
33.72/4.62	  inference(superposition,[],[f272,f61])).
33.72/4.62	thf(f61,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,sK12,X0))) | ($true != vAPP(sTfun(a,$o),$o,cA,X0)) | ($true != vAPP(sTfun(a,$o),$o,sP1,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f40])).
33.72/4.62	thf(f40,plain,(
33.72/4.62	  ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X0)) | (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,X0))) & ($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,sK12,X0)))) | ($true != vAPP(sTfun(a,$o),$o,sP1,X0)))),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f38,f39])).
33.72/4.62	thf(f39,plain,(
33.72/4.62	  ! [X0 : a > $o] : (? [X1 : a] : (($true != vAPP(a,$o,X0,X1)) & ($true = vAPP(a,$o,cE,X1))) => (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,X0))) & ($true = vAPP(a,$o,cE,vAPP(sTfun(a,$o),a,sK12,X0)))))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f38,plain,(
33.72/4.62	  ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X0)) | ? [X1 : a] : (($true != vAPP(a,$o,X0,X1)) & ($true = vAPP(a,$o,cE,X1))) | ($true != vAPP(sTfun(a,$o),$o,sP1,X0)))),
33.72/4.62	  inference(rectify,[],[f37])).
33.72/4.62	thf(f37,plain,(
33.72/4.62	  ! [X10 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X10)) | ? [X12 : a] : (($true != vAPP(a,$o,X10,X12)) & ($true = vAPP(a,$o,cE,X12))) | ($true != vAPP(sTfun(a,$o),$o,sP1,X10)))),
33.72/4.62	  inference(nnf_transformation,[],[f10])).
33.72/4.62	thf(f272,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(global_subsumption,[],[f60,f59,f217])).
33.72/4.62	thf(f217,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(trivial_inequality_removal,[],[f216])).
33.72/4.62	thf(f216,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != $true) | ($true != vAPP(sTfun(a,$o),$o,cA,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0)))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(superposition,[],[f62,f58])).
33.72/4.62	thf(f58,plain,(
33.72/4.62	  ( ! [X2 : a,X0 : a > $o] : (($true = vAPP(a,$o,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0),X2)) | ($true != vAPP(a,$o,X0,X2)) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f36])).
33.72/4.62	thf(f62,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK12,X0))) | ($true != vAPP(sTfun(a,$o),$o,cA,X0)) | ($true != vAPP(sTfun(a,$o),$o,sP1,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f40])).
33.72/4.62	thf(f60,plain,(
33.72/4.62	  ( ! [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,X0))) | ($true != vAPP(sTfun(a,$o),$o,sP2,X0))) )),
33.72/4.62	  inference(cnf_transformation,[],[f36])).
33.72/4.62	thf(f5718,plain,(
33.72/4.62	  ~spl15_14 | spl15_27),
33.72/4.62	  inference(avatar_contradiction_clause,[],[f5717])).
33.72/4.62	thf(f5717,plain,(
33.72/4.62	  $false | (~spl15_14 | spl15_27)),
33.72/4.62	  inference(trivial_inequality_removal,[],[f5716])).
33.72/4.62	thf(f5716,plain,(
33.72/4.62	  ($true != $true) | (~spl15_14 | spl15_27)),
33.72/4.62	  inference(superposition,[],[f5637,f252])).
33.72/4.62	thf(f252,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP2,cE)) | ~spl15_14),
33.72/4.62	  inference(avatar_component_clause,[],[f250])).
33.72/4.62	thf(f5637,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_27),
33.72/4.62	  inference(trivial_inequality_removal,[],[f5636])).
33.72/4.62	thf(f5636,plain,(
33.72/4.62	  ($true != $true) | ($true != vAPP(sTfun(a,$o),$o,sP2,cE)) | spl15_27),
33.72/4.62	  inference(superposition,[],[f478,f60])).
33.72/4.62	thf(f478,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,sP1,vAPP(sTfun(a,$o),sTfun(a,$o),sK11,cE))) | spl15_27),
33.72/4.62	  inference(avatar_component_clause,[],[f476])).
33.72/4.62	thf(f103,plain,(
33.72/4.62	  spl15_1),
33.72/4.62	  inference(avatar_contradiction_clause,[],[f102])).
33.72/4.62	thf(f102,plain,(
33.72/4.62	  $false | spl15_1),
33.72/4.62	  inference(trivial_inequality_removal,[],[f101])).
33.72/4.62	thf(f101,plain,(
33.72/4.62	  ($true != $true) | spl15_1),
33.72/4.62	  inference(superposition,[],[f71,f100])).
33.72/4.62	thf(f100,plain,(
33.72/4.62	  ($true = sP6)),
33.72/4.62	  inference(global_subsumption,[],[f99,f67])).
33.72/4.62	thf(f67,plain,(
33.72/4.62	  ($true = sP6) | ($true = sP5)),
33.72/4.62	  inference(cnf_transformation,[],[f46])).
33.72/4.62	thf(f99,plain,(
33.72/4.62	  ($true != sP5)),
33.72/4.62	  inference(global_subsumption,[],[f52,f50])).
33.72/4.62	thf(f50,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,cA,sK8)) | ($true != sP5)),
33.72/4.62	  inference(cnf_transformation,[],[f24])).
33.72/4.62	thf(f24,plain,(
33.72/4.62	  (($true != vAPP(sTfun(a,$o),$o,cA,sK8)) & ! [X1 : a] : (($true = vAPP(a,$o,sK8,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,sK8))) | ($true != sP5)),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f22,f23])).
33.72/4.62	thf(f23,plain,(
33.72/4.62	  ? [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X0)) & ! [X1 : a] : (($true = vAPP(a,$o,X0,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,X0))) => (($true != vAPP(sTfun(a,$o),$o,cA,sK8)) & ! [X1 : a] : (($true = vAPP(a,$o,sK8,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,sK8)))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f22,plain,(
33.72/4.62	  ? [X0 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X0)) & ! [X1 : a] : (($true = vAPP(a,$o,X0,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,X0))) | ($true != sP5)),
33.72/4.62	  inference(rectify,[],[f21])).
33.72/4.62	thf(f21,plain,(
33.72/4.62	  ? [X13 : a > $o] : (($true != vAPP(sTfun(a,$o),$o,cA,X13)) & ! [X14 : a] : (($true = vAPP(a,$o,X13,X14)) | ($true != vAPP(a,$o,cE,X14))) & ($true = vAPP(sTfun(a,$o),$o,cA,X13))) | ($true != sP5)),
33.72/4.62	  inference(nnf_transformation,[],[f14])).
33.72/4.62	thf(f52,plain,(
33.72/4.62	  ($true != vAPP(sTfun(a,$o),$o,cA,sK8)) | ($true != sP5)),
33.72/4.62	  inference(cnf_transformation,[],[f24])).
33.72/4.62	thf(f71,plain,(
33.72/4.62	  ($true != sP6) | spl15_1),
33.72/4.62	  inference(avatar_component_clause,[],[f69])).
33.72/4.62	thf(f69,plain,(
33.72/4.62	  spl15_1 <=> ($true = sP6)),
33.72/4.62	  introduced(avatar_definition,[new_symbols(naming,[spl15_1])])).
33.72/4.62	thf(f80,plain,(
33.72/4.62	  ~spl15_1 | spl15_3),
33.72/4.62	  inference(avatar_split_clause,[],[f48,f78,f69])).
33.72/4.62	thf(f48,plain,(
33.72/4.62	  ( ! [X1 : a] : (($true = vAPP(a,$o,sK7,X1)) | ($true != vAPP(a,$o,cE,X1)) | ($true != sP6)) )),
33.72/4.62	  inference(cnf_transformation,[],[f20])).
33.72/4.62	thf(f20,plain,(
33.72/4.62	  (($true = vAPP(sTfun(a,$o),$o,sP4,sK7)) & ! [X1 : a] : (($true = vAPP(a,$o,sK7,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,sK7))) | ($true != sP6)),
33.72/4.62	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f18,f19])).
33.72/4.62	thf(f19,plain,(
33.72/4.62	  ? [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP4,X0)) & ! [X1 : a] : (($true = vAPP(a,$o,X0,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,X0))) => (($true = vAPP(sTfun(a,$o),$o,sP4,sK7)) & ! [X1 : a] : (($true = vAPP(a,$o,sK7,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,sK7)))),
33.72/4.62	  introduced(choice_axiom,[])).
33.72/4.62	thf(f18,plain,(
33.72/4.62	  ? [X0 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP4,X0)) & ! [X1 : a] : (($true = vAPP(a,$o,X0,X1)) | ($true != vAPP(a,$o,cE,X1))) & ($true = vAPP(sTfun(a,$o),$o,cA,X0))) | ($true != sP6)),
33.72/4.62	  inference(rectify,[],[f17])).
33.72/4.62	thf(f17,plain,(
33.72/4.62	  ? [X3 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,sP4,X3)) & ! [X4 : a] : (($true = vAPP(a,$o,X3,X4)) | ($true != vAPP(a,$o,cE,X4))) & ($true = vAPP(sTfun(a,$o),$o,cA,X3))) | ($true != sP6)),
33.72/4.62	  inference(nnf_transformation,[],[f15])).
33.72/4.62	thf(f76,plain,(
33.72/4.62	  ~spl15_1 | spl15_2),
33.72/4.62	  inference(avatar_split_clause,[],[f49,f73,f69])).
33.72/4.62	thf(f49,plain,(
33.72/4.62	  ($true = vAPP(sTfun(a,$o),$o,sP4,sK7)) | ($true != sP6)),
33.72/4.62	  inference(cnf_transformation,[],[f20])).
33.72/4.62	% SZS output end Proof for theBenchmark
33.72/4.62	% (17786)------------------------------
33.72/4.62	% (17786)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
33.72/4.62	% (17786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
33.72/4.62	% (17786)Termination reason: Refutation
33.72/4.62	
33.72/4.62	% (17786)Memory used [KB]: 25713
33.72/4.62	% (17786)Time elapsed: 0.780 s
33.72/4.62	% (17786)------------------------------
33.72/4.62	% (17786)------------------------------
33.72/4.62	% (17758)Success in time 4.245 s
33.72/4.63	EOF