0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n008.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Thu Jul  2 07:43:14 EDT 2020
0.13/0.34	% CPUTime    : 
0.13/0.37	% (13029)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.38	% (13036)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.20/0.39	% (13044)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.20/0.39	% (13051)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.20/0.39	% (13031)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.20/0.39	% (13030)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (13040)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (13041)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (13042)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (13043)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (13045)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.20/0.41	% (13037)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.41	% (13033)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.20/0.41	% (13034)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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
0.20/0.41	% (13032)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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
0.20/0.41	% (13035)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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
0.20/0.41	% (13052)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=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
0.20/0.41	% (13047)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.20/0.41	% (13046)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=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
0.20/0.42	% (13055)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=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
0.20/0.42	% (13054)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=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
0.20/0.42	% (13053)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=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
0.20/0.42	% (13057)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=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
0.20/0.42	% (13056)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=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
0.20/0.42	% (13058)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=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
0.20/0.43	% (13031)Refutation not found, incomplete strategy
0.20/0.43	% (13031)------------------------------
0.20/0.43	% (13031)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.43	% (13031)Termination reason: Refutation not found, incomplete strategy
0.20/0.43	
0.20/0.43	% (13031)Memory used [KB]: 9850
0.20/0.43	% (13031)Time elapsed: 0.056 s
0.20/0.43	% (13031)------------------------------
0.20/0.43	% (13031)------------------------------
0.20/0.43	% (13039)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
0.20/0.43	% (13049)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.20/0.43	% (13050)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=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
0.20/0.43	% (13048)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.20/0.43	% (13038)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.44	% (13043)Refutation not found, incomplete strategy
0.20/0.44	% (13043)------------------------------
0.20/0.44	% (13043)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.45	% (13043)Termination reason: Refutation not found, incomplete strategy
0.20/0.45	
0.20/0.45	% (13043)Memory used [KB]: 5373
0.20/0.45	% (13043)Time elapsed: 0.067 s
0.20/0.45	% (13043)------------------------------
0.20/0.45	% (13043)------------------------------
0.20/0.46	% (13039)Refutation not found, incomplete strategy
0.20/0.46	% (13039)------------------------------
0.20/0.46	% (13039)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.46	% (13039)Termination reason: Refutation not found, incomplete strategy
0.20/0.46	
0.20/0.46	% (13039)Memory used [KB]: 10106
0.20/0.46	% (13039)Time elapsed: 0.080 s
0.20/0.46	% (13039)------------------------------
0.20/0.46	% (13039)------------------------------
0.20/0.47	% (13059)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=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
0.20/0.48	% (13060)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.50	% (13061)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark
0.20/0.52	% (13061)Refutation not found, incomplete strategy
0.20/0.52	% (13061)------------------------------
0.20/0.52	% (13061)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
1.27/0.53	% (13061)Termination reason: Refutation not found, incomplete strategy
1.27/0.53	
1.27/0.53	% (13061)Memory used [KB]: 9850
1.27/0.53	% (13061)Time elapsed: 0.046 s
1.27/0.53	% (13061)------------------------------
1.27/0.53	% (13061)------------------------------
1.45/0.56	% (13063)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark
1.45/0.58	% (13063)Refutation not found, incomplete strategy
1.45/0.58	% (13063)------------------------------
1.45/0.58	% (13063)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
1.45/0.59	% (13063)Termination reason: Refutation not found, incomplete strategy
1.45/0.59	
1.45/0.59	% (13063)Memory used [KB]: 9722
1.45/0.59	% (13063)Time elapsed: 0.040 s
1.45/0.59	% (13063)------------------------------
1.45/0.59	% (13063)------------------------------
1.45/0.62	% (13067)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=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_27 on theBenchmark
3.73/0.87	% (13040)Time limit reached!
3.73/0.87	% (13040)------------------------------
3.73/0.87	% (13040)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.73/0.87	% (13040)Termination reason: Time limit
3.73/0.87	
3.73/0.87	% (13040)Memory used [KB]: 12281
3.73/0.87	% (13040)Time elapsed: 0.505 s
3.73/0.87	% (13040)------------------------------
3.73/0.87	% (13040)------------------------------
3.73/0.88	% (13029)Time limit reached!
3.73/0.88	% (13029)------------------------------
3.73/0.88	% (13029)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.73/0.88	% (13029)Termination reason: Time limit
3.73/0.88	% (13029)Termination phase: Saturation
3.73/0.88	
3.73/0.88	% (13029)Memory used [KB]: 3198
3.73/0.88	% (13029)Time elapsed: 0.500 s
3.73/0.88	% (13029)------------------------------
3.73/0.88	% (13029)------------------------------
3.73/0.88	% (13030)Time limit reached!
3.73/0.88	% (13030)------------------------------
3.73/0.88	% (13030)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.73/0.88	% (13030)Termination reason: Time limit
3.73/0.88	
3.73/0.88	% (13030)Memory used [KB]: 13304
3.73/0.88	% (13030)Time elapsed: 0.514 s
3.73/0.88	% (13030)------------------------------
3.73/0.88	% (13030)------------------------------
3.73/0.88	% (13041)Time limit reached!
3.73/0.88	% (13041)------------------------------
3.73/0.88	% (13041)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.73/0.88	% (13041)Termination reason: Time limit
3.73/0.88	% (13041)Termination phase: Saturation
3.73/0.88	
3.73/0.88	% (13041)Memory used [KB]: 9083
3.73/0.88	% (13041)Time elapsed: 0.500 s
3.73/0.88	% (13041)------------------------------
3.73/0.88	% (13041)------------------------------
3.73/0.89	% (13068)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark
3.73/0.90	% (13032)Time limit reached!
3.73/0.90	% (13032)------------------------------
3.73/0.90	% (13032)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.73/0.90	% (13032)Termination reason: Time limit
3.73/0.90	% (13032)Termination phase: Saturation
3.73/0.90	
3.73/0.90	% (13032)Memory used [KB]: 16502
3.73/0.90	% (13032)Time elapsed: 0.500 s
3.73/0.90	% (13032)------------------------------
3.73/0.90	% (13032)------------------------------
3.73/0.91	% (13070)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark
3.73/0.92	% (13069)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark
4.39/0.95	% (13072)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
4.39/0.96	% (13071)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=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
4.39/0.97	% (13038)Time limit reached!
4.39/0.97	% (13038)------------------------------
4.39/0.97	% (13038)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.39/0.97	% (13038)Termination reason: Time limit
4.39/0.97	% (13038)Termination phase: Saturation
4.39/0.97	
4.39/0.97	% (13038)Memory used [KB]: 13432
4.39/0.97	% (13038)Time elapsed: 0.600 s
4.39/0.97	% (13038)------------------------------
4.39/0.97	% (13038)------------------------------
4.79/1.01	% (13035)Time limit reached!
4.79/1.01	% (13035)------------------------------
4.79/1.01	% (13035)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.79/1.01	% (13035)Termination reason: Time limit
4.79/1.01	
4.79/1.01	% (13035)Memory used [KB]: 12537
4.79/1.01	% (13035)Time elapsed: 0.633 s
4.79/1.01	% (13035)------------------------------
4.79/1.01	% (13035)------------------------------
4.79/1.02	% (13073)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark
4.79/1.05	% (13070)Refutation not found, incomplete strategy
4.79/1.05	% (13070)------------------------------
4.79/1.05	% (13070)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.79/1.05	% (13070)Termination reason: Refutation not found, incomplete strategy
4.79/1.05	
4.79/1.05	% (13070)Memory used [KB]: 11897
4.79/1.05	% (13070)Time elapsed: 0.139 s
4.79/1.05	% (13070)------------------------------
4.79/1.05	% (13070)------------------------------
5.28/1.06	% (13074)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark
5.28/1.07	% (13074)Refutation not found, incomplete strategy
5.28/1.07	% (13074)------------------------------
5.28/1.07	% (13074)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.28/1.07	% (13074)Termination reason: Refutation not found, incomplete strategy
5.28/1.07	
5.28/1.07	% (13074)Memory used [KB]: 9722
5.28/1.07	% (13074)Time elapsed: 0.057 s
5.28/1.07	% (13074)------------------------------
5.28/1.07	% (13074)------------------------------
5.67/1.09	% (13075)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark
5.67/1.12	% (13076)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
7.23/1.28	% (13047)Time limit reached!
7.23/1.28	% (13047)------------------------------
7.23/1.28	% (13047)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.23/1.28	% (13047)Termination reason: Time limit
7.23/1.28	
7.23/1.28	% (13047)Memory used [KB]: 11897
7.23/1.28	% (13047)Time elapsed: 0.914 s
7.23/1.28	% (13047)------------------------------
7.23/1.28	% (13047)------------------------------
7.23/1.32	% (13083)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark
7.87/1.38	% (13044)Time limit reached!
7.87/1.38	% (13044)------------------------------
7.87/1.38	% (13044)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
7.87/1.38	% (13044)Termination reason: Time limit
7.87/1.38	
7.87/1.38	% (13044)Memory used [KB]: 15607
7.87/1.38	% (13044)Time elapsed: 1.018 s
7.87/1.38	% (13044)------------------------------
7.87/1.38	% (13044)------------------------------
8.31/1.42	% (13093)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark
8.52/1.48	% (13051)Time limit reached!
8.52/1.48	% (13051)------------------------------
8.52/1.48	% (13051)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.52/1.48	% (13051)Termination reason: Time limit
8.52/1.48	
8.52/1.48	% (13051)Memory used [KB]: 5500
8.52/1.48	% (13051)Time elapsed: 1.105 s
8.52/1.48	% (13051)------------------------------
8.52/1.48	% (13051)------------------------------
8.52/1.50	% (13048)Time limit reached!
8.52/1.50	% (13048)------------------------------
8.52/1.50	% (13048)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.52/1.50	% (13048)Termination reason: Time limit
8.52/1.50	
8.52/1.50	% (13048)Memory used [KB]: 18549
8.52/1.50	% (13048)Time elapsed: 1.127 s
8.52/1.50	% (13048)------------------------------
8.52/1.50	% (13048)------------------------------
8.52/1.50	% (13094)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark
8.52/1.51	% (13042)Time limit reached!
8.52/1.51	% (13042)------------------------------
8.52/1.51	% (13042)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.52/1.51	% (13042)Termination reason: Time limit
8.52/1.51	
8.52/1.51	% (13042)Memory used [KB]: 14583
8.52/1.51	% (13042)Time elapsed: 1.136 s
8.52/1.51	% (13042)------------------------------
8.52/1.51	% (13042)------------------------------
9.09/1.55	% (13095)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark
9.09/1.56	% (13096)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark
11.80/1.88	% (13076)Time limit reached!
11.80/1.88	% (13076)------------------------------
11.80/1.88	% (13076)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.80/1.88	% (13033)Time limit reached!
11.80/1.88	% (13033)------------------------------
11.80/1.88	% (13033)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.80/1.88	% (13033)Termination reason: Time limit
11.80/1.88	% (13033)Termination phase: Saturation
11.80/1.88	
11.80/1.88	% (13033)Memory used [KB]: 15607
11.80/1.88	% (13033)Time elapsed: 1.500 s
11.80/1.88	% (13033)------------------------------
11.80/1.88	% (13033)------------------------------
11.80/1.89	% (13054)Time limit reached!
11.80/1.89	% (13054)------------------------------
11.80/1.89	% (13054)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.80/1.89	% (13076)Termination reason: Time limit
11.80/1.89	% (13076)Termination phase: Saturation
11.80/1.89	
11.80/1.89	% (13076)Memory used [KB]: 5500
11.80/1.89	% (13076)Time elapsed: 0.800 s
11.80/1.89	% (13076)------------------------------
11.80/1.89	% (13076)------------------------------
11.80/1.89	% (13054)Termination reason: Time limit
11.80/1.89	
11.80/1.89	% (13054)Memory used [KB]: 16119
11.80/1.89	% (13054)Time elapsed: 1.518 s
11.80/1.89	% (13054)------------------------------
11.80/1.89	% (13054)------------------------------
12.16/1.93	% (13101)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark
12.16/1.94	% (13102)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark
12.16/1.94	% (13103)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
12.53/1.98	% (13102)Refutation not found, incomplete strategy
12.53/1.98	% (13102)------------------------------
12.53/1.98	% (13102)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.53/1.98	% (13102)Termination reason: Refutation not found, incomplete strategy
12.53/1.98	
12.53/1.98	% (13102)Memory used [KB]: 11129
12.53/1.98	% (13102)Time elapsed: 0.096 s
12.53/1.98	% (13102)------------------------------
12.53/1.98	% (13102)------------------------------
12.95/2.02	% (13104)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark
13.34/2.06	% (13071)Refutation found. Thanks to Tanya!
13.34/2.06	% SZS status Theorem for theBenchmark
13.34/2.06	% SZS output start Proof for theBenchmark
13.34/2.06	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
13.34/2.06	tff(func_def_4, type, cNAT: (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_5, type, cSUCC: (('$i' -> '$o') -> '$o') -> ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_6, type, cZERO: ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
13.34/2.06	tff(func_def_8, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
13.34/2.06	tff(func_def_11, type, vNOT: '$o' -> '$o').
13.34/2.06	tff(func_def_12, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
13.34/2.06	tff(func_def_13, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
13.34/2.06	tff(func_def_14, type, vAND: '$o' -> '$o' -> '$o').
13.34/2.06	tff(func_def_15, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
13.34/2.06	tff(func_def_16, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
13.34/2.06	tff(func_def_17, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
13.34/2.06	tff(func_def_18, type, vIMP: '$o' -> '$o' -> '$o').
13.34/2.06	tff(func_def_19, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
13.34/2.06	tff(func_def_20, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
13.34/2.06	tff(func_def_21, type, sP0: ((('$i' -> '$o') -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_22, type, sK1: ((('$i' -> '$o') -> '$o') -> '$o') -> ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_23, type, sK2: (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_24, type, sK3: ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_26, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
13.34/2.06	tff(func_def_27, type, vOR: '$o' -> '$o' -> '$o').
13.34/2.06	tff(func_def_28, type, sK5: (('$i' -> '$o') -> '$o') -> (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_29, type, sK6: (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_30, type, sK7: ((('$i' -> '$o') -> '$o') -> '$o') -> ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_31, type, sK8: (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_32, type, sK9: ((('$i' -> '$o') -> '$o') -> '$o') -> ('$i' -> '$o') -> '$o').
13.34/2.06	tff(func_def_33, type, sK10: ((('$i' -> '$o') -> '$o') -> '$o') -> (('$i' -> '$o') -> '$o') -> '$o').
13.34/2.06	tff(func_def_34, type, sK11: ((('$i' -> '$o') -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_35, type, sK12: ('$i' -> '$o') -> ((('$i' -> '$o') -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_36, type, sK13: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_37, type, sK14: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_38, type, sK15: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_39, type, sK16: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_40, type, sK17: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_41, type, sK18: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_42, type, sK19: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_43, type, sK20: ('$i' -> '$o') -> (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_44, type, sK21: ('$i' -> '$o') -> '$i').
13.34/2.06	tff(func_def_45, type, sK22: ('$i' -> '$o') -> '$i').
13.34/2.06	tff(func_def_46, type, sK23: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_47, type, sK24: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_48, type, sK25: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_49, type, sK26: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_50, type, sK27: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_51, type, sK28: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(func_def_52, type, sK29: ('$i' -> '$o') -> '$i').
13.34/2.06	tff(func_def_53, type, sK30: ('$i' -> '$o') -> '$i').
13.34/2.06	tff(func_def_54, type, sK31: (('$i' -> '$o') -> '$o') -> '$i' -> '$o').
13.34/2.06	tff(func_def_55, type, sK32: (('$i' -> '$o') -> '$o') -> '$i').
13.34/2.06	tff(f1,axiom,(
13.34/2.06	  cZERO = (^[X0 : '$i' -> '$o'] : ~? [X1] : X0 @ X1)),
13.34/2.06	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cZERO_def)).
13.34/2.06	tff(f2,axiom,(
13.34/2.06	  cSUCC = (^[X2 : ('$i' -> '$o') -> '$o', X0 : '$i' -> '$o'] : ? [X1] : (X2 @ (^[X3 : '$i'] : X0 @ X3 & X1 != X3) & X0 @ X1))),
13.34/2.06	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSUCC_def)).
13.34/2.06	tff(f3,axiom,(
13.34/2.06	  cNAT = (^[X2 : ('$i' -> '$o') -> '$o'] : ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X1 : ('$i' -> '$o') -> '$o'] : (X0 @ X1 => X0 @ (cSUCC @ X1)) & X0 @ cZERO) => X0 @ X2))),
13.34/2.06	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cNAT_def)).
13.34/2.06	tff(f4,conjecture,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X1 : ('$i' -> '$o') -> '$o'] : (cNAT @ X1 => (X0 @ X1 => X0 @ (cSUCC @ X1))) & X0 @ cZERO) => ! [X4 : ('$i' -> '$o') -> '$o'] : (((cNAT @ cZERO & ! [X1 : ('$i' -> '$o') -> '$o'] : ((cNAT @ X1 & X0 @ X1) => (cNAT @ (cSUCC @ X1) & X0 @ (cSUCC @ X1))) & X0 @ cZERO) => (X0 @ X4 & cNAT @ X4)) => X0 @ X4))),
13.34/2.06	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6102_B)).
13.34/2.06	tff(f5,negated_conjecture,(
13.34/2.06	  ~! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X1 : ('$i' -> '$o') -> '$o'] : (cNAT @ X1 => (X0 @ X1 => X0 @ (cSUCC @ X1))) & X0 @ cZERO) => ! [X4 : ('$i' -> '$o') -> '$o'] : (((cNAT @ cZERO & ! [X1 : ('$i' -> '$o') -> '$o'] : ((cNAT @ X1 & X0 @ X1) => (cNAT @ (cSUCC @ X1) & X0 @ (cSUCC @ X1))) & X0 @ cZERO) => (X0 @ X4 & cNAT @ X4)) => X0 @ X4))),
13.34/2.06	  inference(negated_conjecture,[],[f4])).
13.34/2.06	tff(f6,plain,(
13.34/2.06	  ~! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X1 : ('$i' -> '$o') -> '$o'] : (cNAT @ X1 => (X0 @ X1 => X0 @ (cSUCC @ X1))) & X0 @ cZERO) => ! [X2 : ('$i' -> '$o') -> '$o'] : (((cNAT @ cZERO & ! [X3 : ('$i' -> '$o') -> '$o'] : ((cNAT @ X3 & X0 @ X3) => (cNAT @ (cSUCC @ X3) & X0 @ (cSUCC @ X3))) & X0 @ cZERO) => (X0 @ X2 & cNAT @ X2)) => X0 @ X2))),
13.34/2.06	  inference(rectify,[],[f5])).
13.34/2.06	tff(f7,plain,(
13.34/2.06	  ~! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X1 : ('$i' -> '$o') -> '$o'] : ((cNAT @ X1 = $true) => ((X0 @ X1 = $true) => (X0 @ (cSUCC @ X1) = $true))) & (X0 @ cZERO = $true)) => ! [X2 : ('$i' -> '$o') -> '$o'] : ((((cNAT @ cZERO = $true) & ! [X3 : ('$i' -> '$o') -> '$o'] : (((cNAT @ X3 = $true) & (X0 @ X3 = $true)) => ((cNAT @ (cSUCC @ X3) = $true) & (X0 @ (cSUCC @ X3) = $true))) & (X0 @ cZERO = $true)) => ((X0 @ X2 = $true) & (cNAT @ X2 = $true))) => (X0 @ X2 = $true)))),
13.34/2.06	  inference(fool_elimination,[],[f6])).
13.34/2.06	tff(f8,plain,(
13.34/2.06	  cZERO = (^[X0 : '$i' -> '$o'] : ~? [X1] : X0 @ X1)),
13.34/2.06	  inference(rectify,[],[f1])).
13.34/2.06	tff(f9,plain,(
13.34/2.06	  cZERO = bCOMB @ vNOT @ vSIGMA('$i')),
13.34/2.06	  inference(fool_elimination,[],[f8])).
13.34/2.06	tff(f10,plain,(
13.34/2.06	  cSUCC = (^[X0 : ('$i' -> '$o') -> '$o', X1 : '$i' -> '$o'] : ? [X2] : (X0 @ (^[X3 : '$i'] : X1 @ X3 & X2 != X3) & X1 @ X2))),
13.34/2.06	  inference(rectify,[],[f2])).
13.34/2.06	tff(f11,plain,(
13.34/2.06	  cSUCC = bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))),
13.34/2.06	  inference(fool_elimination,[],[f10])).
13.34/2.06	tff(f12,plain,(
13.34/2.06	  cNAT = (^[X0 : ('$i' -> '$o') -> '$o'] : ! [X1 : (('$i' -> '$o') -> '$o') -> '$o'] : ((! [X2 : ('$i' -> '$o') -> '$o'] : (X1 @ X2 => X1 @ (cSUCC @ X2)) & X1 @ cZERO) => X1 @ X0))),
13.34/2.06	  inference(rectify,[],[f3])).
13.34/2.06	tff(f13,plain,(
13.34/2.06	  cNAT = bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ cZERO)) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ cSUCC)))))) @ (cCOMB @ iCOMB))),
13.34/2.06	  inference(fool_elimination,[],[f12])).
13.34/2.06	tff(f14,plain,(
13.34/2.06	  ? [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X2 : ('$i' -> '$o') -> '$o'] : ((X0 @ X2 != $true) & (((X0 @ X2 = $true) & (cNAT @ X2 = $true)) | ((cNAT @ cZERO != $true) | ? [X3 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X3) != $true) | (X0 @ (cSUCC @ X3) != $true)) & ((cNAT @ X3 = $true) & (X0 @ X3 = $true))) | (X0 @ cZERO != $true)))) & (! [X1 : ('$i' -> '$o') -> '$o'] : (((X0 @ (cSUCC @ X1) = $true) | (X0 @ X1 != $true)) | (cNAT @ X1 != $true)) & (X0 @ cZERO = $true)))),
13.34/2.06	  inference(ennf_transformation,[],[f7])).
13.34/2.06	tff(f15,plain,(
13.34/2.06	  ? [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X2 : ('$i' -> '$o') -> '$o'] : ((X0 @ X2 != $true) & (((X0 @ X2 = $true) & (cNAT @ X2 = $true)) | (cNAT @ cZERO != $true) | ? [X3 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X3) != $true) | (X0 @ (cSUCC @ X3) != $true)) & (cNAT @ X3 = $true) & (X0 @ X3 = $true)) | (X0 @ cZERO != $true))) & ! [X1 : ('$i' -> '$o') -> '$o'] : ((X0 @ (cSUCC @ X1) = $true) | (X0 @ X1 != $true) | (cNAT @ X1 != $true)) & (X0 @ cZERO = $true))),
13.34/2.06	  inference(flattening,[],[f14])).
13.34/2.06	tff(f16,plain,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X3 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X3) != $true) | (X0 @ (cSUCC @ X3) != $true)) & (cNAT @ X3 = $true) & (X0 @ X3 = $true)) | ~(sP0 @ X0 = $true))),
13.34/2.06	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
13.34/2.06	tff(f17,plain,(
13.34/2.06	  ? [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X2 : ('$i' -> '$o') -> '$o'] : ((X0 @ X2 != $true) & (((X0 @ X2 = $true) & (cNAT @ X2 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ X0 = $true) | (X0 @ cZERO != $true))) & ! [X1 : ('$i' -> '$o') -> '$o'] : ((X0 @ (cSUCC @ X1) = $true) | (X0 @ X1 != $true) | (cNAT @ X1 != $true)) & (X0 @ cZERO = $true))),
13.34/2.06	  inference(definition_folding,[],[f15,f16])).
13.34/2.06	tff(f18,plain,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X3 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X3) != $true) | (X0 @ (cSUCC @ X3) != $true)) & (cNAT @ X3 = $true) & (X0 @ X3 = $true)) | (sP0 @ X0 != $true))),
13.34/2.06	  inference(nnf_transformation,[],[f16])).
13.34/2.06	tff(f19,plain,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X1 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X1) != $true) | (X0 @ (cSUCC @ X1) != $true)) & (cNAT @ X1 = $true) & (X0 @ X1 = $true)) | (sP0 @ X0 != $true))),
13.34/2.06	  inference(rectify,[],[f18])).
13.34/2.06	tff(f20,plain,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X1 : ('$i' -> '$o') -> '$o'] : (((cNAT @ (cSUCC @ X1) != $true) | (X0 @ (cSUCC @ X1) != $true)) & (cNAT @ X1 = $true) & (X0 @ X1 = $true)) => (((cNAT @ (cSUCC @ (sK1 @ X0)) != $true) | (X0 @ (cSUCC @ (sK1 @ X0)) != $true)) & (cNAT @ (sK1 @ X0) = $true) & (X0 @ (sK1 @ X0) = $true)))),
13.34/2.06	  introduced(choice_axiom,[])).
13.34/2.06	tff(f21,plain,(
13.34/2.06	  ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((((cNAT @ (cSUCC @ (sK1 @ X0)) != $true) | (X0 @ (cSUCC @ (sK1 @ X0)) != $true)) & (cNAT @ (sK1 @ X0) = $true) & (X0 @ (sK1 @ X0) = $true)) | (sP0 @ X0 != $true))),
13.34/2.06	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f20])).
13.34/2.06	tff(f22,plain,(
13.34/2.06	  ? [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X1 : ('$i' -> '$o') -> '$o'] : ((X0 @ X1 != $true) & (((X0 @ X1 = $true) & (cNAT @ X1 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ X0 = $true) | (X0 @ cZERO != $true))) & ! [X2 : ('$i' -> '$o') -> '$o'] : ((X0 @ (cSUCC @ X2) = $true) | (X0 @ X2 != $true) | (cNAT @ X2 != $true)) & (X0 @ cZERO = $true))),
13.34/2.06	  inference(rectify,[],[f17])).
13.34/2.06	tff(f23,plain,(
13.34/2.06	  ? [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : (? [X1 : ('$i' -> '$o') -> '$o'] : ((X0 @ X1 != $true) & (((X0 @ X1 = $true) & (cNAT @ X1 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ X0 = $true) | (X0 @ cZERO != $true))) & ! [X2 : ('$i' -> '$o') -> '$o'] : ((X0 @ (cSUCC @ X2) = $true) | (X0 @ X2 != $true) | (cNAT @ X2 != $true)) & (X0 @ cZERO = $true)) => (? [X1 : ('$i' -> '$o') -> '$o'] : ((sK2 @ X1 != $true) & (((sK2 @ X1 = $true) & (cNAT @ X1 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ sK2 = $true) | (sK2 @ cZERO != $true))) & ! [X2 : ('$i' -> '$o') -> '$o'] : ((sK2 @ (cSUCC @ X2) = $true) | (sK2 @ X2 != $true) | (cNAT @ X2 != $true)) & (sK2 @ cZERO = $true))),
13.34/2.06	  introduced(choice_axiom,[])).
13.34/2.07	tff(f24,plain,(
13.34/2.07	  ? [X1 : ('$i' -> '$o') -> '$o'] : ((sK2 @ X1 != $true) & (((sK2 @ X1 = $true) & (cNAT @ X1 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ sK2 = $true) | (sK2 @ cZERO != $true))) => ((sK2 @ sK3 != $true) & (((sK2 @ sK3 = $true) & (cNAT @ sK3 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ sK2 = $true) | (sK2 @ cZERO != $true)))),
13.34/2.07	  introduced(choice_axiom,[])).
13.34/2.07	tff(f25,plain,(
13.34/2.07	  ((sK2 @ sK3 != $true) & (((sK2 @ sK3 = $true) & (cNAT @ sK3 = $true)) | (cNAT @ cZERO != $true) | (sP0 @ sK2 = $true) | (sK2 @ cZERO != $true))) & ! [X2 : ('$i' -> '$o') -> '$o'] : ((sK2 @ (cSUCC @ X2) = $true) | (sK2 @ X2 != $true) | (cNAT @ X2 != $true)) & (sK2 @ cZERO = $true)),
13.34/2.07	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f22,f24,f23])).
13.34/2.07	tff(f26,plain,(
13.34/2.07	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((X0 @ (sK1 @ X0) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.07	  inference(cnf_transformation,[],[f21])).
13.34/2.07	tff(f27,plain,(
13.34/2.07	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((cNAT @ (sK1 @ X0) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.07	  inference(cnf_transformation,[],[f21])).
13.34/2.07	tff(f28,plain,(
13.34/2.07	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((cNAT @ (cSUCC @ (sK1 @ X0)) != $true) | (X0 @ (cSUCC @ (sK1 @ X0)) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.07	  inference(cnf_transformation,[],[f21])).
13.34/2.07	tff(f29,plain,(
13.34/2.07	  (sK2 @ cZERO = $true)),
13.34/2.07	  inference(cnf_transformation,[],[f25])).
13.34/2.07	tff(f30,plain,(
13.34/2.07	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (cSUCC @ X2) = $true) | (sK2 @ X2 != $true) | (cNAT @ X2 != $true)) )),
13.34/2.07	  inference(cnf_transformation,[],[f25])).
13.34/2.07	tff(f32,plain,(
13.34/2.07	  (sK2 @ sK3 = $true) | (cNAT @ cZERO != $true) | (sP0 @ sK2 = $true) | (sK2 @ cZERO != $true)),
13.34/2.07	  inference(cnf_transformation,[],[f25])).
13.34/2.07	tff(f33,plain,(
13.34/2.07	  (sK2 @ sK3 != $true)),
13.34/2.07	  inference(cnf_transformation,[],[f25])).
13.34/2.07	tff(f34,plain,(
13.34/2.07	  cNAT = bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ cZERO)) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ cSUCC)))))) @ (cCOMB @ iCOMB))),
13.34/2.07	  inference(cnf_transformation,[],[f13])).
13.34/2.07	tff(f35,plain,(
13.34/2.07	  cSUCC = bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))),
13.34/2.07	  inference(cnf_transformation,[],[f11])).
13.34/2.07	tff(f36,plain,(
13.34/2.07	  cZERO = bCOMB @ vNOT @ vSIGMA('$i')),
13.34/2.07	  inference(cnf_transformation,[],[f9])).
13.34/2.07	tff(f37,plain,(
13.34/2.07	  cNAT = bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))))) @ (cCOMB @ iCOMB))),
13.34/2.07	  inference(definition_unfolding,[],[f34,f36,f35])).
13.34/2.07	tff(f38,plain,(
13.34/2.07	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))))) @ (cCOMB @ iCOMB)) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))) @ (sK1 @ X0)) != $true) | (X0 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))) @ (sK1 @ X0)) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.07	  inference(definition_unfolding,[],[f28,f37,f35,f35])).
13.34/2.07	tff(f39,plain,(
13.34/2.07	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))))) @ (cCOMB @ iCOMB)) @ (sK1 @ X0) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.07	  inference(definition_unfolding,[],[f27,f37])).
13.34/2.07	tff(f40,plain,(
13.34/2.07	  (sK2 @ sK3 = $true) | (bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))))) @ (cCOMB @ iCOMB)) @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.07	  inference(definition_unfolding,[],[f32,f37,f36,f36])).
13.34/2.07	tff(f42,plain,(
13.34/2.07	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))) @ X2) = $true) | (sK2 @ X2 != $true) | (bCOMB @ vPI((('$i' -> '$o') -> '$o') -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))))) @ (cCOMB @ iCOMB)) @ X2 != $true)) )),
13.34/2.07	  inference(definition_unfolding,[],[f30,f35,f37])).
13.34/2.07	tff(f43,plain,(
13.34/2.07	  (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.07	  inference(definition_unfolding,[],[f29,f36])).
13.34/2.08	tff(f44,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (vPI((('$i' -> '$o') -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ X2)) != $true)) )),
13.34/2.08	  inference(combinator_demodulation,[],[f42])).
13.34/2.08	tff(f45,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ X2) @ (sK5 @ X2) = $false)) )),
13.34/2.08	  inference(sigma_clausification,[],[f44])).
13.34/2.08	tff(f46,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (vIMP @ (vAND @ (sK5 @ X2 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK5 @ X2)) @ (bCOMB @ (sK5 @ X2) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))) @ (sK5 @ X2 @ X2) = $false)) )),
13.34/2.08	  inference(combinator_demodulation,[],[f45])).
13.34/2.08	tff(f47,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (vAND @ (sK5 @ X2 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK5 @ X2)) @ (bCOMB @ (sK5 @ X2) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))) = $true)) )),
13.34/2.08	  inference(binary_proxy_clausification,[],[f46])).
13.34/2.08	tff(f48,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (sK5 @ X2 @ X2 = $false)) )),
13.34/2.08	  inference(binary_proxy_clausification,[],[f46])).
13.34/2.08	tff(f49,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (sK5 @ X2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.08	  inference(binary_proxy_clausification,[],[f47])).
13.34/2.08	tff(f50,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK5 @ X2)) @ (bCOMB @ (sK5 @ X2) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))) = $true)) )),
13.34/2.08	  inference(binary_proxy_clausification,[],[f47])).
13.34/2.08	tff(f51,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o',X3:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (sCOMB @ (bCOMB @ vIMP @ (sK5 @ X2)) @ (bCOMB @ (sK5 @ X2) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) @ X3 = $true)) )),
13.34/2.08	  inference(pi_clausification,[],[f50])).
13.34/2.08	tff(f52,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o',X3:('$i' -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (vIMP @ (sK5 @ X2 @ X3) @ (sK5 @ X2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X3) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) = $true)) )),
13.34/2.08	  inference(combinator_demodulation,[],[f51])).
13.34/2.08	tff(f53,plain,(
13.34/2.08	  ( ! [X2:('$i' -> '$o') -> '$o',X3:('$i' -> '$o') -> '$o'] : ((sK5 @ X2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X3) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK2 @ X2 != $true) | (sK5 @ X2 @ X3 = $false) | (sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true)) )),
13.34/2.08	  inference(binary_proxy_clausification,[],[f52])).
13.34/2.08	tff(f75,plain,(
13.34/2.08	  (sK2 @ sK3 = $true) | (vPI((('$i' -> '$o') -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) != $true) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.08	  inference(combinator_demodulation,[],[f40])).
13.34/2.08	tff(f76,plain,(
13.34/2.08	  (sK2 @ sK3 = $true) | (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ sK8 = $false) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.08	  inference(sigma_clausification,[],[f75])).
13.34/2.08	tff(f77,plain,(
13.34/2.08	  (sK2 @ sK3 = $true) | (vIMP @ (vAND @ (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ sK8) @ (bCOMB @ sK8 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))) @ (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i'))) = $false) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.08	  inference(combinator_demodulation,[],[f76])).
13.34/2.09	tff(f78,plain,(
13.34/2.09	  (sK2 @ sK3 = $true) | (vAND @ (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ sK8) @ (bCOMB @ sK8 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))) = $true) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.09	  inference(binary_proxy_clausification,[],[f77])).
13.34/2.09	tff(f79,plain,(
13.34/2.09	  (sK2 @ sK3 = $true) | (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.09	  inference(binary_proxy_clausification,[],[f77])).
13.34/2.09	tff(f80,plain,(
13.34/2.09	  (sK2 @ sK3 = $true) | (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.09	  inference(binary_proxy_clausification,[],[f78])).
13.34/2.09	tff(f85,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((vPI((('$i' -> '$o') -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (sK1 @ X0))) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.09	  inference(combinator_demodulation,[],[f39])).
13.34/2.09	tff(f86,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (sK1 @ X0)) @ X1 = $true) | (sP0 @ X0 != $true)) )),
13.34/2.09	  inference(pi_clausification,[],[f85])).
13.34/2.09	tff(f87,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((vIMP @ (vAND @ (X1 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (bCOMB @ X1 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))) @ (X1 @ (sK1 @ X0)) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.09	  inference(combinator_demodulation,[],[f86])).
13.34/2.09	tff(f88,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((vAND @ (X1 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (bCOMB @ X1 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true)) )),
13.34/2.09	  inference(binary_proxy_clausification,[],[f87])).
13.34/2.09	tff(f89,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((X1 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true) | (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (bCOMB @ X1 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))) = $false)) )),
13.34/2.09	  inference(binary_proxy_clausification,[],[f88])).
13.34/2.09	tff(f90,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((X1 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true) | (sCOMB @ (bCOMB @ vIMP @ X1) @ (bCOMB @ X1 @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) @ (sK9 @ X1) = $false)) )),
13.34/2.09	  inference(sigma_clausification,[],[f89])).
13.34/2.09	tff(f91,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((X1 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true) | (vIMP @ (X1 @ (sK9 @ X1)) @ (X1 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK9 @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) = $false)) )),
13.34/2.09	  inference(combinator_demodulation,[],[f90])).
13.34/2.09	tff(f92,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((X1 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true) | (X1 @ (sK9 @ X1) = $true)) )),
13.34/2.09	  inference(binary_proxy_clausification,[],[f91])).
13.34/2.09	tff(f93,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:(('$i' -> '$o') -> '$o') -> '$o'] : ((X1 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK9 @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $false) | (sP0 @ X0 != $true) | (X1 @ (sK1 @ X0) = $true) | (X1 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.09	  inference(binary_proxy_clausification,[],[f91])).
13.34/2.09	tff(f94,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((vPI((('$i' -> '$o') -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))) != $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.09	  inference(combinator_demodulation,[],[f38])).
13.34/2.09	tff(f95,plain,(
13.34/2.09	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ (bCOMB @ vNOT @ vSIGMA('$i')))) @ (bCOMB @ vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))))) @ (cCOMB @ iCOMB @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) @ (sK10 @ X0) = $false) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.09	  inference(sigma_clausification,[],[f94])).
13.34/2.10	tff(f96,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((vIMP @ (vAND @ (sK10 @ X0 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK10 @ X0)) @ (bCOMB @ (sK10 @ X0) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))))) @ (sK10 @ X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) = $false) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(combinator_demodulation,[],[f95])).
13.34/2.10	tff(f97,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((vAND @ (sK10 @ X0 @ (bCOMB @ vNOT @ vSIGMA('$i'))) @ (vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK10 @ X0)) @ (bCOMB @ (sK10 @ X0) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))))) = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(binary_proxy_clausification,[],[f96])).
13.34/2.10	tff(f98,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $false) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(binary_proxy_clausification,[],[f96])).
13.34/2.10	tff(f99,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sK10 @ X0 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(binary_proxy_clausification,[],[f97])).
13.34/2.10	tff(f100,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((vPI(('$i' -> '$o') -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sK10 @ X0)) @ (bCOMB @ (sK10 @ X0) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))))) = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(binary_proxy_clausification,[],[f97])).
13.34/2.10	tff(f101,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:('$i' -> '$o') -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (sK10 @ X0)) @ (bCOMB @ (sK10 @ X0) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND))) @ (cCOMB @ (bCOMB @ bCOMB @ bCOMB) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) @ X1 = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(pi_clausification,[],[f100])).
13.34/2.10	tff(f102,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:('$i' -> '$o') -> '$o'] : ((vIMP @ (sK10 @ X0 @ X1) @ (sK10 @ X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X1) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i'))))))))) = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(combinator_demodulation,[],[f101])).
13.34/2.10	tff(f103,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o',X1:('$i' -> '$o') -> '$o'] : ((sK10 @ X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X1) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true) | (sK10 @ X0 @ X1 = $false)) )),
13.34/2.10	  inference(binary_proxy_clausification,[],[f102])).
13.34/2.10	tff(f104,plain,(
13.34/2.10	  (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.10	  inference(global_subsumption,[],[f33,f80])).
13.34/2.10	tff(f109,plain,(
13.34/2.10	  spl4_1 <=> (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
13.34/2.10	tff(f110,plain,(
13.34/2.10	  (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true) | ~spl4_1),
13.34/2.10	  inference(avatar_component_clause,[],[f109])).
13.34/2.10	tff(f115,plain,(
13.34/2.10	  spl4_2 <=> (sP0 @ sK2 = $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
13.34/2.10	tff(f116,plain,(
13.34/2.10	  (sP0 @ sK2 = $true) | ~spl4_2),
13.34/2.10	  inference(avatar_component_clause,[],[f115])).
13.34/2.10	tff(f121,plain,(
13.34/2.10	  spl4_4 <=> (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
13.34/2.10	tff(f122,plain,(
13.34/2.10	  (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_4),
13.34/2.10	  inference(avatar_component_clause,[],[f121])).
13.34/2.10	tff(f123,plain,(
13.34/2.10	  ~spl4_1 | spl4_2 | spl4_4),
13.34/2.10	  inference(avatar_split_clause,[],[f104,f121,f115,f109])).
13.34/2.10	tff(f129,plain,(
13.34/2.10	  (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ sK2 = $true) | (sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) != $true)),
13.34/2.10	  inference(global_subsumption,[],[f33,f79])).
13.34/2.10	tff(f134,plain,(
13.34/2.10	  spl4_8 <=> (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
13.34/2.10	tff(f135,plain,(
13.34/2.10	  (sK8 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | ~spl4_8),
13.34/2.10	  inference(avatar_component_clause,[],[f134])).
13.34/2.10	tff(f136,plain,(
13.34/2.10	  ~spl4_1 | spl4_2 | spl4_8),
13.34/2.10	  inference(avatar_split_clause,[],[f129,f134,f115,f109])).
13.34/2.10	tff(f169,plain,(
13.34/2.10	  ($true != $true) | ~spl4_1),
13.34/2.10	  inference(superposition,[],[f110,f43])).
13.34/2.10	tff(f170,plain,(
13.34/2.10	  $false | ~spl4_1),
13.34/2.10	  inference(trivial_inequality_removal,[],[f169])).
13.34/2.10	tff(f171,plain,(
13.34/2.10	  spl4_1),
13.34/2.10	  inference(avatar_contradiction_clause,[],[f170])).
13.34/2.10	tff(f173,plain,(
13.34/2.10	  ($false = $true) | (~spl4_4 | ~spl4_8)),
13.34/2.10	  inference(forward_demodulation,[],[f122,f135])).
13.34/2.10	tff(f174,plain,(
13.34/2.10	  $false | (~spl4_4 | ~spl4_8)),
13.34/2.10	  inference(trivial_inequality_removal,[],[f173])).
13.34/2.10	tff(f175,plain,(
13.34/2.10	  ~spl4_4 | ~spl4_8),
13.34/2.10	  inference(avatar_contradiction_clause,[],[f174])).
13.34/2.10	tff(f508,plain,(
13.34/2.10	  ( ! [X2:('$i' -> '$o') -> '$o',X3:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sK2 @ X2 != $true) | (sK5 @ X2 @ (sK9 @ (sK5 @ X2)) = $false) | (sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sP0 @ X3 != $true) | (sK5 @ X2 @ (sK1 @ X3) = $true) | (sK5 @ X2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.10	  inference(superposition,[],[f53,f93])).
13.34/2.10	tff(f511,plain,(
13.34/2.10	  ( ! [X2:('$i' -> '$o') -> '$o',X3:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK2 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ X2) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $true) | (sK5 @ X2 @ (sK9 @ (sK5 @ X2)) = $false) | (sK2 @ X2 != $true) | (sP0 @ X3 != $true) | (sK5 @ X2 @ (sK1 @ X3) = $true) | (sK5 @ X2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.10	  inference(trivial_inequality_removal,[],[f508])).
13.34/2.10	tff(f521,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK10 @ X0 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ X0 != $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $false)) )),
13.34/2.10	  inference(fool_paramodulation,[],[f99])).
13.34/2.10	tff(f543,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) = $false) | (sP0 @ X0 != $true) | (sK10 @ X0 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.10	  inference(trivial_inequality_removal,[],[f521])).
13.34/2.10	tff(f563,plain,(
13.34/2.10	  spl4_36 <=> (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_36])])).
13.34/2.10	tff(f564,plain,(
13.34/2.10	  (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_36),
13.34/2.10	  inference(avatar_component_clause,[],[f563])).
13.34/2.10	tff(f569,plain,(
13.34/2.10	  spl4_39 <=> (sK2 @ (sK1 @ sK2) != $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_39])])).
13.34/2.10	tff(f570,plain,(
13.34/2.10	  (sK2 @ (sK1 @ sK2) != $true) | ~spl4_39),
13.34/2.10	  inference(avatar_component_clause,[],[f569])).
13.34/2.10	tff(f575,plain,(
13.34/2.10	  spl4_40 <=> (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_40])])).
13.34/2.10	tff(f576,plain,(
13.34/2.10	  (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_40),
13.34/2.10	  inference(avatar_component_clause,[],[f575])).
13.34/2.10	tff(f584,plain,(
13.34/2.10	  spl4_42 <=> (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)),
13.34/2.10	  introduced(avatar_definition,[new_symbols(naming,[spl4_42])])).
13.34/2.10	tff(f585,plain,(
13.34/2.10	  (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | ~spl4_42),
13.34/2.10	  inference(avatar_component_clause,[],[f584])).
13.34/2.10	tff(f662,plain,(
13.34/2.10	  ($true != $true) | (sP0 @ sK2 != $true) | ~spl4_39),
13.34/2.10	  inference(superposition,[],[f570,f26])).
13.34/2.10	tff(f728,plain,(
13.34/2.10	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true) | (sK10 @ X0 @ (sK1 @ X0) = $false) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true)) )),
13.34/2.10	  inference(superposition,[],[f103,f98])).
13.34/2.10	tff(f729,plain,(
13.34/2.10	  ( ! [X4:(('$i' -> '$o') -> '$o') -> '$o',X3:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (X3 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X3)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X3 != $true) | (sK10 @ X3 @ (sK9 @ (sK10 @ X3)) = $false) | (sP0 @ X4 != $true) | (sK10 @ X3 @ (sK1 @ X4) = $true) | (sK10 @ X3 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.10	  inference(superposition,[],[f103,f93])).
13.34/2.11	tff(f737,plain,(
13.34/2.11	  ( ! [X4:(('$i' -> '$o') -> '$o') -> '$o',X3:(('$i' -> '$o') -> '$o') -> '$o'] : ((X3 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X3)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X3 != $true) | (sK10 @ X3 @ (sK9 @ (sK10 @ X3)) = $false) | (sP0 @ X4 != $true) | (sK10 @ X3 @ (sK1 @ X4) = $true) | (sK10 @ X3 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f729])).
13.34/2.11	tff(f738,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true) | (sK10 @ X0 @ (sK1 @ X0) = $false)) )),
13.34/2.11	  inference(duplicate_literal_removal,[],[f728])).
13.34/2.11	tff(f739,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((X0 @ (bCOMB @ vSIGMA('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vAND)) @ (bCOMB @ (bCOMB @ (sK1 @ X0)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vNOT) @ vEQ('$i')))))))) != $true) | (sP0 @ X0 != $true) | (sK10 @ X0 @ (sK1 @ X0) = $false)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f738])).
13.34/2.11	tff(f784,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X0 != $true) | (sK10 @ sK2 @ (sK1 @ X0) = $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $true)) ) | ~spl4_40),
13.34/2.11	  inference(superposition,[],[f92,f576])).
13.34/2.11	tff(f785,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (sK10 @ sK2 @ (sK1 @ X0) = $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $true)) ) | ~spl4_40),
13.34/2.11	  inference(trivial_inequality_removal,[],[f784])).
13.34/2.11	tff(f806,plain,(
13.34/2.11	  spl4_60 <=> (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $true)),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_60])])).
13.34/2.11	tff(f807,plain,(
13.34/2.11	  (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $true) | ~spl4_60),
13.34/2.11	  inference(avatar_component_clause,[],[f806])).
13.34/2.11	tff(f809,plain,(
13.34/2.11	  spl4_62 <=> ! [X0 : (('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (sK10 @ sK2 @ (sK1 @ X0) = $true))),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_62])])).
13.34/2.11	tff(f810,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ sK2 @ (sK1 @ X0) = $true) | (sP0 @ X0 != $true)) ) | ~spl4_62),
13.34/2.11	  inference(avatar_component_clause,[],[f809])).
13.34/2.11	tff(f813,plain,(
13.34/2.11	  spl4_60 | spl4_62 | ~spl4_40),
13.34/2.11	  inference(avatar_split_clause,[],[f785,f575,f809,f806])).
13.34/2.11	tff(f1267,plain,(
13.34/2.11	  ( ! [X3:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X3 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.11	  inference(superposition,[],[f739,f511])).
13.34/2.11	tff(f1269,plain,(
13.34/2.11	  ($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(superposition,[],[f739,f49])).
13.34/2.11	tff(f1270,plain,(
13.34/2.11	  ($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)),
13.34/2.11	  inference(superposition,[],[f739,f48])).
13.34/2.11	tff(f1273,plain,(
13.34/2.11	  (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1270])).
13.34/2.11	tff(f1274,plain,(
13.34/2.11	  (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1269])).
13.34/2.11	tff(f1276,plain,(
13.34/2.11	  ( ! [X3:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X3 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1267])).
13.34/2.11	tff(f1296,plain,(
13.34/2.11	  spl4_76 <=> (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false)),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_76])])).
13.34/2.11	tff(f1297,plain,(
13.34/2.11	  (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | ~spl4_76),
13.34/2.11	  inference(avatar_component_clause,[],[f1296])).
13.34/2.11	tff(f1317,plain,(
13.34/2.11	  spl4_84 <=> (sK10 @ sK2 @ (sK1 @ sK2) = $false)),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_84])])).
13.34/2.11	tff(f1318,plain,(
13.34/2.11	  (sK10 @ sK2 @ (sK1 @ sK2) = $false) | ~spl4_84),
13.34/2.11	  inference(avatar_component_clause,[],[f1317])).
13.34/2.11	tff(f1320,plain,(
13.34/2.11	  ( ! [X3:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X3 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | ~spl4_2),
13.34/2.11	  inference(forward_demodulation,[],[f1276,f116])).
13.34/2.11	tff(f1321,plain,(
13.34/2.11	  ( ! [X3:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X3 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | ~spl4_2),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1320])).
13.34/2.11	tff(f1326,plain,(
13.34/2.11	  spl4_86 <=> (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_86])])).
13.34/2.11	tff(f1327,plain,(
13.34/2.11	  (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | ~spl4_86),
13.34/2.11	  inference(avatar_component_clause,[],[f1326])).
13.34/2.11	tff(f1329,plain,(
13.34/2.11	  spl4_88 <=> ! [X3 : (('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X3 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true))),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_88])])).
13.34/2.11	tff(f1330,plain,(
13.34/2.11	  ( ! [X3:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK5 @ (sK1 @ sK2) @ (sK1 @ X3) = $true) | (sP0 @ X3 != $true)) ) | ~spl4_88),
13.34/2.11	  inference(avatar_component_clause,[],[f1329])).
13.34/2.11	tff(f1331,plain,(
13.34/2.11	  spl4_86 | spl4_88 | ~spl4_39 | spl4_76 | spl4_84 | ~spl4_2),
13.34/2.11	  inference(avatar_split_clause,[],[f1321,f115,f1317,f1296,f569,f1329,f1326])).
13.34/2.11	tff(f1353,plain,(
13.34/2.11	  ($true != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.11	  inference(forward_demodulation,[],[f1274,f116])).
13.34/2.11	tff(f1354,plain,(
13.34/2.11	  (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1353])).
13.34/2.11	tff(f1355,plain,(
13.34/2.11	  spl4_36 | ~spl4_39 | spl4_84 | ~spl4_2),
13.34/2.11	  inference(avatar_split_clause,[],[f1354,f115,f1317,f569,f563])).
13.34/2.11	tff(f1356,plain,(
13.34/2.11	  ($true != $true) | (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | ~spl4_2),
13.34/2.11	  inference(forward_demodulation,[],[f1273,f116])).
13.34/2.11	tff(f1357,plain,(
13.34/2.11	  (sK10 @ sK2 @ (sK1 @ sK2) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | ~spl4_2),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1356])).
13.34/2.11	tff(f1358,plain,(
13.34/2.11	  spl4_42 | ~spl4_39 | spl4_84 | ~spl4_2),
13.34/2.11	  inference(avatar_split_clause,[],[f1357,f115,f1317,f569,f584])).
13.34/2.11	tff(f1359,plain,(
13.34/2.11	  (sP0 @ sK2 != $true) | ~spl4_39),
13.34/2.11	  inference(trivial_inequality_removal,[],[f662])).
13.34/2.11	tff(f1481,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X0 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true)) ) | ~spl4_36),
13.34/2.11	  inference(superposition,[],[f92,f564])).
13.34/2.11	tff(f1482,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true)) ) | ~spl4_36),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1481])).
13.34/2.11	tff(f1529,plain,(
13.34/2.11	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X7 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X7) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.11	  inference(superposition,[],[f511,f543])).
13.34/2.11	tff(f1531,plain,(
13.34/2.11	  ($false = $true) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(superposition,[],[f49,f543])).
13.34/2.11	tff(f1532,plain,(
13.34/2.11	  ($false = $true) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(superposition,[],[f48,f543])).
13.34/2.11	tff(f1535,plain,(
13.34/2.11	  (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1532])).
13.34/2.11	tff(f1536,plain,(
13.34/2.11	  (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1531])).
13.34/2.11	tff(f1538,plain,(
13.34/2.11	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X7 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X7) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1529])).
13.34/2.11	tff(f1653,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X0 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true)) ) | (~spl4_36 | ~spl4_76)),
13.34/2.11	  inference(forward_demodulation,[],[f1482,f1297])).
13.34/2.11	tff(f1654,plain,(
13.34/2.11	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true) | (sP0 @ X0 != $true)) ) | (~spl4_36 | ~spl4_76)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1653])).
13.34/2.11	tff(f1684,plain,(
13.34/2.11	  ($false = $true) | (sP0 @ sK2 != $true) | (~spl4_36 | ~spl4_42 | ~spl4_76)),
13.34/2.11	  inference(superposition,[],[f1654,f585])).
13.34/2.11	tff(f1687,plain,(
13.34/2.11	  (sP0 @ sK2 != $true) | (~spl4_36 | ~spl4_42 | ~spl4_76)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1684])).
13.34/2.11	tff(f1691,plain,(
13.34/2.11	  ($true != $true) | (~spl4_2 | ~spl4_36 | ~spl4_42 | ~spl4_76)),
13.34/2.11	  inference(superposition,[],[f1687,f116])).
13.34/2.11	tff(f1692,plain,(
13.34/2.11	  $false | (~spl4_2 | ~spl4_36 | ~spl4_42 | ~spl4_76)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1691])).
13.34/2.11	tff(f1693,plain,(
13.34/2.11	  ~spl4_2 | ~spl4_36 | ~spl4_42 | ~spl4_76),
13.34/2.11	  inference(avatar_contradiction_clause,[],[f1692])).
13.34/2.11	tff(f1699,plain,(
13.34/2.11	  spl4_116 <=> (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true)),
13.34/2.11	  introduced(avatar_definition,[new_symbols(naming,[spl4_116])])).
13.34/2.11	tff(f1700,plain,(
13.34/2.11	  (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true) | ~spl4_116),
13.34/2.11	  inference(avatar_component_clause,[],[f1699])).
13.34/2.11	tff(f1823,plain,(
13.34/2.11	  ($false = $true) | (sP0 @ sK2 != $true) | (~spl4_62 | ~spl4_84)),
13.34/2.11	  inference(superposition,[],[f1318,f810])).
13.34/2.11	tff(f1826,plain,(
13.34/2.11	  (sP0 @ sK2 != $true) | (~spl4_62 | ~spl4_84)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1823])).
13.34/2.11	tff(f1923,plain,(
13.34/2.11	  ($true != $true) | (~spl4_2 | ~spl4_62 | ~spl4_84)),
13.34/2.11	  inference(superposition,[],[f1826,f116])).
13.34/2.11	tff(f1924,plain,(
13.34/2.11	  $false | (~spl4_2 | ~spl4_62 | ~spl4_84)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f1923])).
13.34/2.11	tff(f1925,plain,(
13.34/2.11	  ~spl4_2 | ~spl4_62 | ~spl4_84),
13.34/2.11	  inference(avatar_contradiction_clause,[],[f1924])).
13.34/2.11	tff(f2222,plain,(
13.34/2.11	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) )),
13.34/2.11	  inference(superposition,[],[f737,f48])).
13.34/2.11	tff(f2223,plain,(
13.34/2.11	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.11	  inference(superposition,[],[f737,f49])).
13.34/2.11	tff(f2225,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.11	  inference(superposition,[],[f737,f511])).
13.34/2.11	tff(f2234,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2225])).
13.34/2.11	tff(f2236,plain,(
13.34/2.11	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2223])).
13.34/2.11	tff(f2237,plain,(
13.34/2.11	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ sK2 != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) )),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2222])).
13.34/2.11	tff(f2262,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | ~spl4_2),
13.34/2.11	  inference(forward_demodulation,[],[f2234,f116])).
13.34/2.11	tff(f2263,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | ~spl4_2),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2262])).
13.34/2.11	tff(f2264,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.11	  inference(forward_demodulation,[],[f2263,f807])).
13.34/2.11	tff(f2265,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2264])).
13.34/2.11	tff(f2266,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_40 | ~spl4_60)),
13.34/2.11	  inference(forward_demodulation,[],[f2265,f576])).
13.34/2.11	tff(f2267,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_40 | ~spl4_60)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2266])).
13.34/2.11	tff(f2268,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_40 | ~spl4_60 | ~spl4_116)),
13.34/2.11	  inference(forward_demodulation,[],[f2267,f1700])).
13.34/2.11	tff(f2269,plain,(
13.34/2.11	  ( ! [X10:(('$i' -> '$o') -> '$o') -> '$o',X11:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X10 != $true) | (sK10 @ sK2 @ (sK1 @ X10) = $true) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X11 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X11) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)) ) | (~spl4_2 | ~spl4_40 | ~spl4_60 | ~spl4_116)),
13.34/2.11	  inference(trivial_inequality_removal,[],[f2268])).
13.34/2.12	tff(f2270,plain,(
13.34/2.12	  spl4_86 | spl4_88 | ~spl4_39 | spl4_62 | ~spl4_2 | ~spl4_40 | ~spl4_60 | ~spl4_116),
13.34/2.12	  inference(avatar_split_clause,[],[f2269,f1699,f806,f575,f115,f809,f569,f1329,f1326])).
13.34/2.12	tff(f2301,plain,(
13.34/2.12	  spl4_136 <=> (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false)),
13.34/2.12	  introduced(avatar_definition,[new_symbols(naming,[spl4_136])])).
13.34/2.12	tff(f2302,plain,(
13.34/2.12	  (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | ~spl4_136),
13.34/2.12	  inference(avatar_component_clause,[],[f2301])).
13.34/2.12	tff(f2368,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | ~spl4_2),
13.34/2.12	  inference(forward_demodulation,[],[f2236,f116])).
13.34/2.12	tff(f2369,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | ~spl4_2),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2368])).
13.34/2.12	tff(f2370,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.12	  inference(forward_demodulation,[],[f2369,f807])).
13.34/2.12	tff(f2371,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X7 != $true) | (sK10 @ sK2 @ (sK1 @ X7) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2370])).
13.34/2.12	tff(f2372,plain,(
13.34/2.12	  spl4_36 | ~spl4_39 | spl4_136 | spl4_62 | ~spl4_2 | ~spl4_60),
13.34/2.12	  inference(avatar_split_clause,[],[f2371,f806,f115,f809,f2301,f569,f563])).
13.34/2.12	tff(f2374,plain,(
13.34/2.12	  ($true != $true) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.12	  inference(forward_demodulation,[],[f1536,f116])).
13.34/2.12	tff(f2375,plain,(
13.34/2.12	  (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2374])).
13.34/2.12	tff(f2376,plain,(
13.34/2.12	  spl4_40 | spl4_36 | ~spl4_39 | ~spl4_2),
13.34/2.12	  inference(avatar_split_clause,[],[f2375,f115,f569,f563,f575])).
13.34/2.12	tff(f2381,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X7 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X7) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | ~spl4_2),
13.34/2.12	  inference(forward_demodulation,[],[f1538,f116])).
13.34/2.12	tff(f2382,plain,(
13.34/2.12	  ( ! [X7:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sP0 @ X7 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X7) = $true) | (sK5 @ (sK1 @ sK2) @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true)) ) | ~spl4_2),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2381])).
13.34/2.12	tff(f2383,plain,(
13.34/2.12	  spl4_40 | spl4_86 | spl4_88 | ~spl4_39 | spl4_76 | ~spl4_2),
13.34/2.12	  inference(avatar_split_clause,[],[f2382,f115,f1296,f569,f1329,f1326,f575])).
13.34/2.12	tff(f2387,plain,(
13.34/2.12	  spl4_86 | spl4_88 | ~spl4_39 | spl4_76 | spl4_136 | spl4_62 | ~spl4_2 | ~spl4_60),
13.34/2.12	  inference(avatar_split_clause,[],[f2265,f806,f115,f809,f2301,f1296,f569,f1329,f1326])).
13.34/2.12	tff(f2391,plain,(
13.34/2.12	  ($false = $true) | (~spl4_40 | ~spl4_136)),
13.34/2.12	  inference(backward_demodulation,[],[f2302,f576])).
13.34/2.12	tff(f2392,plain,(
13.34/2.12	  $false | (~spl4_40 | ~spl4_136)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2391])).
13.34/2.12	tff(f2393,plain,(
13.34/2.12	  ~spl4_40 | ~spl4_136),
13.34/2.12	  inference(avatar_contradiction_clause,[],[f2392])).
13.34/2.12	tff(f2398,plain,(
13.34/2.12	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : (($true != $true) | (sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) ) | ~spl4_2),
13.34/2.12	  inference(forward_demodulation,[],[f2237,f116])).
13.34/2.12	tff(f2399,plain,(
13.34/2.12	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : ((sK10 @ sK2 @ (sK9 @ (sK10 @ sK2)) = $false) | (sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) ) | ~spl4_2),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2398])).
13.34/2.12	tff(f2400,plain,(
13.34/2.12	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.12	  inference(forward_demodulation,[],[f2399,f807])).
13.34/2.12	tff(f2401,plain,(
13.34/2.12	  ( ! [X6:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X6 != $true) | (sK10 @ sK2 @ (sK1 @ X6) = $true) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $false) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false)) ) | (~spl4_2 | ~spl4_60)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2400])).
13.34/2.12	tff(f2402,plain,(
13.34/2.12	  spl4_42 | ~spl4_39 | spl4_136 | spl4_62 | ~spl4_2 | ~spl4_60),
13.34/2.12	  inference(avatar_split_clause,[],[f2401,f806,f115,f809,f2301,f569,f584])).
13.34/2.12	tff(f2404,plain,(
13.34/2.12	  ($true != $true) | (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.12	  inference(forward_demodulation,[],[f1535,f116])).
13.34/2.12	tff(f2405,plain,(
13.34/2.12	  (sK2 @ (sK1 @ sK2) != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ sK2) = $false) | (sK10 @ sK2 @ (bCOMB @ vNOT @ vSIGMA('$i')) = $true) | ~spl4_2),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2404])).
13.34/2.12	tff(f2406,plain,(
13.34/2.12	  spl4_40 | spl4_42 | ~spl4_39 | ~spl4_2),
13.34/2.12	  inference(avatar_split_clause,[],[f2405,f115,f569,f584,f575])).
13.34/2.12	tff(f2425,plain,(
13.34/2.12	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : (($false = $true) | (sP0 @ X0 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true)) ) | ~spl4_36),
13.34/2.12	  inference(superposition,[],[f564,f92])).
13.34/2.12	tff(f2428,plain,(
13.34/2.12	  ( ! [X0:(('$i' -> '$o') -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (sK5 @ (sK1 @ sK2) @ (sK1 @ X0) = $true) | (sK5 @ (sK1 @ sK2) @ (sK9 @ (sK5 @ (sK1 @ sK2))) = $true)) ) | ~spl4_36),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2425])).
13.34/2.12	tff(f2473,plain,(
13.34/2.12	  ($false = $true) | (sP0 @ sK2 != $true) | (~spl4_42 | ~spl4_88)),
13.34/2.12	  inference(superposition,[],[f1330,f585])).
13.34/2.12	tff(f2476,plain,(
13.34/2.12	  (sP0 @ sK2 != $true) | (~spl4_42 | ~spl4_88)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2473])).
13.34/2.12	tff(f2509,plain,(
13.34/2.12	  ($true != $true) | (~spl4_2 | ~spl4_42 | ~spl4_88)),
13.34/2.12	  inference(superposition,[],[f2476,f116])).
13.34/2.12	tff(f2510,plain,(
13.34/2.12	  $false | (~spl4_2 | ~spl4_42 | ~spl4_88)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2509])).
13.34/2.12	tff(f2511,plain,(
13.34/2.12	  ~spl4_2 | ~spl4_42 | ~spl4_88),
13.34/2.12	  inference(avatar_contradiction_clause,[],[f2510])).
13.34/2.12	tff(f2514,plain,(
13.34/2.12	  spl4_116 | spl4_88 | ~spl4_36),
13.34/2.12	  inference(avatar_split_clause,[],[f2428,f563,f1329,f1699])).
13.34/2.12	tff(f2515,plain,(
13.34/2.12	  ($false = $true) | (~spl4_36 | ~spl4_86)),
13.34/2.12	  inference(backward_demodulation,[],[f1327,f564])).
13.34/2.12	tff(f2516,plain,(
13.34/2.12	  $false | (~spl4_36 | ~spl4_86)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2515])).
13.34/2.12	tff(f2517,plain,(
13.34/2.12	  ~spl4_36 | ~spl4_86),
13.34/2.12	  inference(avatar_contradiction_clause,[],[f2516])).
13.34/2.12	tff(f2548,plain,(
13.34/2.12	  ($true != $true) | (~spl4_2 | ~spl4_39)),
13.34/2.12	  inference(superposition,[],[f1359,f116])).
13.34/2.12	tff(f2549,plain,(
13.34/2.12	  $false | (~spl4_2 | ~spl4_39)),
13.34/2.12	  inference(trivial_inequality_removal,[],[f2548])).
13.34/2.12	tff(f2550,plain,(
13.34/2.12	  ~spl4_2 | spl4_39),
13.34/2.12	  inference(avatar_contradiction_clause,[],[f2549])).
13.34/2.12	tff(f2552,plain,(
13.34/2.12	  $false),
13.34/2.12	  inference(avatar_sat_refutation,[],[f123,f136,f171,f175,f813,f1331,f1355,f1358,f1693,f1925,f2270,f2372,f2376,f2383,f2387,f2393,f2402,f2406,f2511,f2514,f2517,f2550])).
13.34/2.12	% SZS output end Proof for theBenchmark
13.34/2.12	% (13071)------------------------------
13.34/2.12	% (13071)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
13.34/2.12	% (13071)Termination reason: Refutation
13.34/2.12	
13.34/2.12	% (13071)Memory used [KB]: 17398
13.34/2.12	% (13071)Time elapsed: 1.198 s
13.34/2.12	% (13071)------------------------------
13.34/2.12	% (13071)------------------------------
13.34/2.13	% (13028)Success in time 1.758 s
13.34/2.13	EOF