0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_vampire %s %d
0.12/0.34	% Computer   : n009.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1200
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Tue Jul 13 15:54:27 EDT 2021
0.12/0.34	% CPUTime    : 
0.12/0.35	This is a THF_ problem
0.12/0.35	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.35	Running in auto input_syntax mode. Trying TPTP
0.19/0.38	% (16136)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_3 on theBenchmark
0.19/0.38	% (16138)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.19/0.38	% (16136)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.39	% (16144)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on:thsq=on_1 on theBenchmark
0.19/0.39	% (16141)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_2 on theBenchmark
0.19/0.40	% (16135)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark
0.19/0.40	% (16153)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark
0.19/0.40	% (16140)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:thsq=on_40 on theBenchmark
0.19/0.40	% (16142)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.19/0.40	% (16131)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark
0.19/0.40	% (16139)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark
0.19/0.40	% (16139)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.40	% (16145)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:cases=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:thsq=on_7 on theBenchmark
0.19/0.40	% (16130)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.19/0.41	% (16139)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.41	% (16153)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.41	% (16133)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_2 on theBenchmark
0.19/0.41	% (16138)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.41	% (16152)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark
0.19/0.41	% (16137)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark
0.19/0.41	% (16145)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (16134)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark
0.19/0.42	% (16132)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_3 on theBenchmark
0.19/0.42	% (16134)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (16137)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (16151)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_30 on theBenchmark
0.19/0.42	% (16132)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.42	% (16154)lrs+1011_5_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off:thsq=on_130 on theBenchmark
0.19/0.43	% (16157)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:cases=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_186 on theBenchmark
0.19/0.43	% (16158)dis+1002_4_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.19/0.43	% (16146)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=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:thsq=on_300 on theBenchmark
0.19/0.43	% (16156)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off:thsq=on_300 on theBenchmark
0.19/0.43	% (16143)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark
0.19/0.43	% (16152)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.43	% (16143)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.44	% (16155)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:cases=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark
0.19/0.44	% (16148)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence:thsq=on_6 on theBenchmark
0.19/0.44	% (16150)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on:thsq=on_41 on theBenchmark
0.19/0.44	% (16155)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.44	% (16159)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:cases=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on:thsq=on_50 on theBenchmark
0.19/0.44	% (16154)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.44	% (16149)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all:thsq=on_8 on theBenchmark
0.19/0.44	% (16147)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off:thsq=on_30 on theBenchmark
0.19/0.45	% (16147)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16149)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16146)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16146)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
3.92/0.87	% (16144)Time limit reached!
3.92/0.87	% (16144)------------------------------
3.92/0.87	% (16144)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
3.92/0.88	% (16144)Termination reason: Time limit
3.92/0.88	
3.92/0.88	% (16144)Memory used [KB]: 7164
3.92/0.88	% (16144)Time elapsed: 0.516 s
3.92/0.88	% (16144)------------------------------
3.92/0.88	% (16144)------------------------------
4.51/0.96	% (16161)dis+1011_10_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence:thsq=on_75 on theBenchmark
5.43/1.06	% (16141)Time limit reached!
5.43/1.06	% (16141)------------------------------
5.43/1.06	% (16141)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.43/1.08	% (16141)Termination reason: Time limit
5.43/1.08	
5.43/1.08	% (16141)Memory used [KB]: 13432
5.43/1.08	% (16141)Time elapsed: 0.704 s
5.43/1.08	% (16141)------------------------------
5.43/1.08	% (16141)------------------------------
5.43/1.08	% (16130)Time limit reached!
5.43/1.08	% (16130)------------------------------
5.43/1.08	% (16130)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.43/1.08	% (16130)Termination reason: Time limit
5.43/1.08	% (16130)Termination phase: Saturation
5.43/1.08	
5.43/1.08	% (16130)Memory used [KB]: 2942
5.43/1.08	% (16130)Time elapsed: 0.700 s
5.43/1.08	% (16130)------------------------------
5.43/1.08	% (16130)------------------------------
5.43/1.09	% (16131)Time limit reached!
5.43/1.09	% (16131)------------------------------
5.43/1.09	% (16131)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.43/1.09	% (16131)Termination reason: Time limit
5.43/1.09	% (16131)Termination phase: Saturation
5.43/1.09	
5.43/1.09	% (16131)Memory used [KB]: 13560
5.43/1.09	% (16131)Time elapsed: 0.700 s
5.43/1.09	% (16131)------------------------------
5.43/1.09	% (16131)------------------------------
5.43/1.09	% (16142)Time limit reached!
5.43/1.09	% (16142)------------------------------
5.43/1.09	% (16142)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.43/1.09	% (16142)Termination reason: Time limit
5.43/1.09	
5.43/1.09	% (16142)Memory used [KB]: 8699
5.43/1.09	% (16142)Time elapsed: 0.723 s
5.43/1.09	% (16142)------------------------------
5.43/1.09	% (16142)------------------------------
5.43/1.09	% (16133)Time limit reached!
5.43/1.09	% (16133)------------------------------
5.43/1.09	% (16133)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
5.43/1.09	% (16133)Termination reason: Time limit
5.43/1.09	
5.43/1.09	% (16133)Memory used [KB]: 14967
5.43/1.09	% (16133)Time elapsed: 0.732 s
5.43/1.09	% (16133)------------------------------
5.43/1.09	% (16133)------------------------------
5.94/1.15	% (16162)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:cases=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
6.18/1.16	% (16163)lrs+1011_8_add=large:csup=on:inj=on:prag=on:cases=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:thsq=on_26 on theBenchmark
6.18/1.17	% (16164)lrs+1011_8_add=large:csup=on:fe=off:cases=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:thsq=on_30 on theBenchmark
6.18/1.17	% (16166)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:cases=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:updr=off:uhcvi=on:thsq=on_125 on theBenchmark
6.18/1.17	% (16165)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:cases=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:thsq=on_27 on theBenchmark
6.18/1.18	% (16164)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
6.18/1.18	% (16163)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
6.18/1.19	% (16162)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
6.69/1.26	% (16136)Time limit reached!
6.69/1.26	% (16136)------------------------------
6.69/1.26	% (16136)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.69/1.26	% (16136)Termination reason: Time limit
6.69/1.26	
6.69/1.26	% (16136)Memory used [KB]: 14967
6.69/1.26	% (16136)Time elapsed: 0.904 s
6.69/1.26	% (16136)------------------------------
6.69/1.26	% (16136)------------------------------
6.93/1.28	% (16132)Time limit reached!
6.93/1.28	% (16132)------------------------------
6.93/1.28	% (16132)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.93/1.28	% (16132)Termination reason: Time limit
6.93/1.28	% (16132)Termination phase: Saturation
6.93/1.28	
6.93/1.28	% (16132)Memory used [KB]: 14072
6.93/1.28	% (16132)Time elapsed: 0.900 s
6.93/1.28	% (16132)------------------------------
6.93/1.28	% (16132)------------------------------
6.93/1.29	% (16139)Time limit reached!
6.93/1.29	% (16139)------------------------------
6.93/1.29	% (16139)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
6.93/1.30	% (16139)Termination reason: Time limit
6.93/1.30	
6.93/1.30	% (16139)Memory used [KB]: 17270
6.93/1.30	% (16139)Time elapsed: 0.924 s
6.93/1.30	% (16139)------------------------------
6.93/1.30	% (16139)------------------------------
6.93/1.34	% (16167)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off:thsq=on_77 on theBenchmark
6.93/1.36	% (16168)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:cases=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:thsq=on_126 on theBenchmark
6.93/1.37	% (16168)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
6.93/1.37	% (16169)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:cases=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off:thsq=on_50 on theBenchmark
6.93/1.39	% (16169)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
11.64/1.88	% (16148)Time limit reached!
11.64/1.88	% (16148)------------------------------
11.64/1.88	% (16148)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
11.64/1.89	% (16148)Termination reason: Time limit
11.64/1.89	
11.64/1.89	% (16148)Memory used [KB]: 9466
11.64/1.89	% (16148)Time elapsed: 1.517 s
11.64/1.89	% (16148)------------------------------
11.64/1.89	% (16148)------------------------------
12.40/1.95	% (16170)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:cases=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:thsq=on_11 on theBenchmark
13.33/2.08	% (16145)Time limit reached!
13.33/2.08	% (16145)------------------------------
13.33/2.08	% (16145)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
13.33/2.08	% (16145)Termination reason: Time limit
13.33/2.08	
13.33/2.08	% (16145)Memory used [KB]: 20596
13.33/2.08	% (16145)Time elapsed: 1.704 s
13.33/2.08	% (16145)------------------------------
13.33/2.08	% (16145)------------------------------
13.33/2.14	% (16171)ott+11_2:1_add=large:csup=on:inj=on:chr=on:cases=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:thsq=on_9 on theBenchmark
14.06/2.36	% (16169)First to succeed.
14.06/2.37	% (16149)Time limit reached!
14.06/2.37	% (16149)------------------------------
14.06/2.37	% (16149)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
14.06/2.37	% (16149)Termination reason: Time limit
14.06/2.37	
14.06/2.37	% (16149)Memory used [KB]: 14839
14.06/2.37	% (16149)Time elapsed: 2.003 s
14.06/2.37	% (16149)------------------------------
14.06/2.37	% (16149)------------------------------
14.06/2.38	% (16152)Time limit reached!
14.06/2.38	% (16152)------------------------------
14.06/2.38	% (16152)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
14.06/2.38	% (16152)Termination reason: Time limit
14.06/2.38	
14.06/2.38	% (16152)Memory used [KB]: 7164
14.06/2.38	% (16152)Time elapsed: 2.014 s
14.06/2.38	% (16152)------------------------------
14.06/2.38	% (16152)------------------------------
15.39/2.41	% (16169)Refutation found. Thanks to Tanya!
15.39/2.41	% SZS status Theorem for theBenchmark
15.39/2.41	% SZS output start Proof for theBenchmark
15.39/2.41	thf(type_def_6, type, >: ($tType * $tType) > $tType).
15.39/2.41	thf(func_def_7, type, cNAT: (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_8, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
15.39/2.41	thf(func_def_9, type, cZERO: ($i > $o) > $o).
15.39/2.41	thf(func_def_11, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
15.39/2.41	thf(func_def_14, type, vIMP: $o > $o > $o).
15.39/2.41	thf(func_def_15, type, vAND: $o > $o > $o).
15.39/2.41	thf(func_def_16, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
15.39/2.41	thf(func_def_17, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
15.39/2.41	thf(func_def_18, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
15.39/2.41	thf(func_def_19, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
15.39/2.41	thf(func_def_20, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
15.39/2.41	thf(func_def_21, type, vNOT: $o > $o).
15.39/2.41	thf(func_def_22, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
15.39/2.41	thf(func_def_23, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
15.39/2.41	thf(func_def_24, type, sP0: (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_25, type, sP1: (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_26, type, sP2: ((($i > $o) > $o) > $o) > $o).
15.39/2.41	thf(func_def_28, type, sK4: (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_29, type, sK5: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
15.39/2.41	thf(func_def_30, type, sK6: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
15.39/2.41	thf(func_def_31, type, sK7: (($i > $o) > $o) > (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_32, type, sK8: (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_33, type, sK9: ($i > $o) > $o).
15.39/2.41	thf(func_def_35, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
15.39/2.41	thf(func_def_36, type, vOR: $o > $o > $o).
15.39/2.41	thf(func_def_37, type, sK11: (($i > $o) > $o) > (($i > $o) > $o) > $o).
15.39/2.41	thf(func_def_38, type, sK12: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
15.39/2.41	thf(func_def_42, type, sK13: (($i > $o) > $o) > $i > $o).
15.39/2.41	thf(func_def_43, type, sK14: (($i > $o) > $o) > $i).
15.39/2.41	thf(func_def_44, type, sK15: ($i > $o) > $i).
15.39/2.41	thf(func_def_45, type, sK16: (($i > $o) > $o) > $i > $o).
15.39/2.41	thf(func_def_46, type, sK17: (($i > $o) > $o) > $i).
15.39/2.41	thf(func_def_47, type, sK18: (($i > $o) > $o) > $i > $o).
15.39/2.41	thf(func_def_48, type, sK19: (($i > $o) > $o) > $i).
15.39/2.41	thf(func_def_49, type, sK20: ($i > $o) > (($i > $o) > $o) > $i).
15.39/2.41	thf(func_def_50, type, sK21: (($i > $o) > $o) > $i > $o).
15.39/2.41	thf(func_def_51, type, sK22: (($i > $o) > $o) > $i).
15.39/2.41	thf(func_def_52, type, sK23: $i > $o).
15.39/2.41	thf(func_def_54, type, sK25: $i > $i).
15.39/2.41	thf(func_def_56, type, sK27: ($i > $o) > $i).
15.39/2.41	thf(func_def_58, type, sK29: $i > $i).
15.39/2.41	thf(func_def_62, type, sK33: $i > $i).
15.39/2.41	thf(func_def_64, type, sK35: $i > $i).
15.39/2.41	thf(func_def_65, type, sK36: $i > $i).
15.39/2.41	thf(func_def_66, type, sK37: $i > $i).
15.39/2.41	thf(func_def_67, type, sK38: $i > $i).
15.39/2.41	thf(func_def_68, type, sK39: $i > $i).
15.39/2.41	thf(func_def_69, type, sK40: $i > $i).
15.39/2.41	thf(func_def_72, type, sK43: $i > $o).
15.39/2.41	thf(func_def_74, type, sK45: $i > $i).
15.39/2.41	thf(func_def_76, type, sK47: ($i > $o) > $i).
15.39/2.41	thf(func_def_80, type, sK51: ($i > $o) > $i).
15.39/2.41	thf(f1713,plain,(
15.39/2.41	  $false),
15.39/2.41	  inference(avatar_sat_refutation,[],[f128,f131,f354,f374,f392,f504,f514,f616,f1712])).
15.39/2.41	thf(f1712,plain,(
15.39/2.41	  spl10_19 | ~spl10_18 | spl10_14 | ~spl10_4 | ~spl10_17 | ~spl10_20),
15.39/2.41	  inference(avatar_split_clause,[],[f1711,f511,f351,f115,f205,f501,f508])).
15.39/2.41	thf(f508,plain,(
15.39/2.41	  spl10_19 <=> ! [X0 : ($i > $o) > $o] : (($true = ((sK11 @ (sK5 @ sK8)) @ X0)) | ($true != (sP1 @ X0)))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_19])])).
15.39/2.41	thf(f501,plain,(
15.39/2.41	  spl10_18 <=> ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_18])])).
15.39/2.41	thf(f205,plain,(
15.39/2.41	  spl10_14 <=> ($true = (sP0 @ (sK5 @ sK8)))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_14])])).
15.39/2.41	thf(f115,plain,(
15.39/2.41	  spl10_4 <=> ($true = (sP2 @ sK8))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_4])])).
15.39/2.41	thf(f351,plain,(
15.39/2.41	  spl10_17 <=> ($true = (sK8 @ (sK5 @ sK8)))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_17])])).
15.39/2.41	thf(f511,plain,(
15.39/2.41	  spl10_20 <=> ($true = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8)))))),
15.39/2.41	  introduced(avatar_definition,[new_symbols(naming,[spl10_20])])).
15.39/2.41	thf(f1711,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | (~spl10_4 | ~spl10_17 | ~spl10_20)),
15.39/2.41	  inference(trivial_inequality_removal,[],[f1710])).
15.39/2.41	thf(f1710,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true = $false) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | (~spl10_4 | ~spl10_17 | ~spl10_20)),
15.39/2.41	  inference(forward_demodulation,[],[f1709,f513])).
15.39/2.41	thf(f513,plain,(
15.39/2.41	  ($true = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ~spl10_20),
15.39/2.41	  inference(avatar_component_clause,[],[f511])).
15.39/2.41	thf(f1709,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | (~spl10_4 | ~spl10_17)),
15.39/2.41	  inference(trivial_inequality_removal,[],[f1708])).
15.39/2.41	thf(f1708,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | (~spl10_4 | ~spl10_17)),
15.39/2.41	  inference(forward_demodulation,[],[f1707,f352])).
15.39/2.41	thf(f352,plain,(
15.39/2.41	  ($true = (sK8 @ (sK5 @ sK8))) | ~spl10_17),
15.39/2.41	  inference(avatar_component_clause,[],[f351])).
15.39/2.41	thf(f1707,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | ~spl10_4),
15.39/2.41	  inference(trivial_inequality_removal,[],[f1706])).
15.39/2.41	thf(f1706,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) ) | ~spl10_4),
15.39/2.41	  inference(forward_demodulation,[],[f1705,f117])).
15.39/2.41	thf(f117,plain,(
15.39/2.41	  ($true = (sP2 @ sK8)) | ~spl10_4),
15.39/2.41	  inference(avatar_component_clause,[],[f115])).
15.39/2.41	thf(f1705,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) )),
15.39/2.41	  inference(trivial_inequality_removal,[],[f1702])).
15.39/2.41	thf(f1702,plain,(
15.39/2.41	  ( ! [X4 : ($i > $o) > $o] : (($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X4)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X4))) )),
15.39/2.41	  inference(superposition,[],[f97,f518])).
15.39/2.41	thf(f518,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X1)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != ((sK11 @ X1) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X2)) | ($true != (sK8 @ X1)) | ($false = ((sK11 @ X1) @ (sK6 @ (sK11 @ X1)))) | ($true = ((sK11 @ X1) @ X2))) )),
15.39/2.41	  inference(trivial_inequality_removal,[],[f517])).
15.39/2.41	thf(f517,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true != $true) | ($true = ((sK11 @ X1) @ X2)) | ($true != ((sK11 @ X1) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X2)) | ($true != (sK8 @ X1)) | ($false = ((sK11 @ X1) @ (sK6 @ (sK11 @ X1)))) | ($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X1)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i))))))))))) )),
15.39/2.41	  inference(superposition,[],[f96,f84])).
15.39/2.41	thf(f84,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o,X3 : ($i > $o) > $o] : (($true = ((sK11 @ X2) @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X3)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($false = ((sK11 @ X2) @ X3)) | ($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i))))))))))) )),
15.39/2.41	  inference(binary_proxy_clausification,[],[f83])).
15.39/2.41	thf(f83,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o,X3 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($true = ((vIMP @ ((sK11 @ X2) @ X3)) @ ((sK11 @ X2) @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X3)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))))) )),
15.39/2.41	  inference(combinator_demodulation,[],[f82])).
15.39/2.41	thf(f82,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o,X3 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($true = (((sCOMB @ ((bCOMB @ vIMP) @ (sK11 @ X2))) @ ((bCOMB @ (sK11 @ 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))) )),
15.39/2.41	  inference(pi_clausification,[],[f80])).
15.39/2.41	thf(f80,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($true = (vPI(($i > $o) > $o) @ ((sCOMB @ ((bCOMB @ vIMP) @ (sK11 @ X2))) @ ((bCOMB @ (sK11 @ X2)) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i))))))))))))) )),
15.39/2.41	  inference(binary_proxy_clausification,[],[f79])).
15.39/2.41	thf(f79,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($true = ((vAND @ ((sK11 @ X2) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) @ (vPI(($i > $o) > $o) @ ((sCOMB @ ((bCOMB @ vIMP) @ (sK11 @ X2))) @ ((bCOMB @ (sK11 @ X2)) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))))))) )),
15.39/2.41	  inference(binary_proxy_clausification,[],[f77])).
15.39/2.41	thf(f77,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($false = ((vIMP @ ((vAND @ ((sK11 @ X2) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) @ (vPI(($i > $o) > $o) @ ((sCOMB @ ((bCOMB @ vIMP) @ (sK11 @ X2))) @ ((bCOMB @ (sK11 @ X2)) @ ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i))))))))))))) @ ((sK11 @ X2) @ X2)))) )),
15.39/2.41	  inference(combinator_demodulation,[],[f76])).
15.39/2.41	thf(f76,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($false = (((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($i)))))))))))))) @ ((cCOMB @ iCOMB) @ X2)) @ (sK11 @ X2)))) )),
15.39/2.41	  inference(sigma_clausification,[],[f75])).
15.39/2.41	thf(f75,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($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($i)))))))))))))) @ ((cCOMB @ iCOMB) @ X2))))) )),
15.39/2.41	  inference(combinator_demodulation,[],[f74])).
15.39/2.41	thf(f74,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (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)))))))) @ X2))) | ($true != (sK8 @ X2)) | ($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($i))))))))))))))) @ (cCOMB @ iCOMB))) @ X2))) )),
15.39/2.41	  inference(definition_unfolding,[],[f53,f60,f61])).
15.39/2.41	thf(f61,plain,(
15.39/2.41	  (cNAT = ((bCOMB @ vPI((($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($i))))))))))))))) @ (cCOMB @ iCOMB))))),
15.39/2.41	  inference(definition_unfolding,[],[f59,f58,f60])).
15.39/2.41	thf(f58,plain,(
15.39/2.41	  (cZERO = ((bCOMB @ vNOT) @ vSIGMA($i)))),
15.39/2.41	  inference(cnf_transformation,[],[f12])).
15.39/2.41	thf(f12,plain,(
15.39/2.41	  (cZERO = ((bCOMB @ vNOT) @ vSIGMA($i)))),
15.39/2.41	  inference(fool_elimination,[],[f11])).
15.39/2.41	thf(f11,plain,(
15.39/2.41	  (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
15.39/2.41	  inference(rectify,[],[f1])).
15.39/2.41	thf(f1,axiom,(
15.39/2.41	  (cZERO = (^[X0 : $i > $o] : (~? [X1] : (X0 @ X1))))),
15.39/2.41	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cZERO_def)).
15.39/2.41	thf(f59,plain,(
15.39/2.41	  (cNAT = ((bCOMB @ vPI((($i > $o) > $o) > $o)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vIMP) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ iCOMB) @ cZERO))) @ ((bCOMB @ vPI(($i > $o) > $o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIMP))) @ ((cCOMB @ bCOMB) @ cSUCC))))))) @ (cCOMB @ iCOMB))))),
15.39/2.41	  inference(cnf_transformation,[],[f10])).
15.39/2.41	thf(f10,plain,(
15.39/2.41	  (cNAT = ((bCOMB @ vPI((($i > $o) > $o) > $o)) @ ((bCOMB @ (sCOMB @ ((bCOMB @ vIMP) @ ((sCOMB @ ((bCOMB @ vAND) @ ((cCOMB @ iCOMB) @ cZERO))) @ ((bCOMB @ vPI(($i > $o) > $o)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vIMP))) @ ((cCOMB @ bCOMB) @ cSUCC))))))) @ (cCOMB @ iCOMB))))),
15.39/2.41	  inference(fool_elimination,[],[f9])).
15.39/2.41	thf(f9,plain,(
15.39/2.41	  (cNAT = (^[X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : ((! [X2 : ($i > $o) > $o] : ((X1 @ X2) => (X1 @ (cSUCC @ X2))) & (X1 @ cZERO)) => (X1 @ X0)))))),
15.39/2.41	  inference(rectify,[],[f3])).
15.39/2.41	thf(f3,axiom,(
15.39/2.41	  (cNAT = (^[X2 : ($i > $o) > $o] : (! [X0 : (($i > $o) > $o) > $o] : ((! [X1 : ($i > $o) > $o] : ((X0 @ X1) => (X0 @ (cSUCC @ X1))) & (X0 @ cZERO)) => (X0 @ X2)))))),
15.39/2.41	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNAT_def)).
15.39/2.41	thf(f60,plain,(
15.39/2.41	  (cSUCC = ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))),
15.39/2.41	  inference(cnf_transformation,[],[f14])).
15.39/2.41	thf(f14,plain,(
15.39/2.41	  (cSUCC = ((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))),
15.39/2.41	  inference(fool_elimination,[],[f13])).
15.39/2.41	thf(f13,plain,(
15.39/2.41	  (cSUCC = (^[X0 : ($i > $o) > $o, X1 : $i > $o] : (? [X2] : ((X0 @ (^[X3 : $i] : ((X1 @ X3) & (X2 != X3)))) & (X1 @ X2)))))),
15.39/2.41	  inference(rectify,[],[f2])).
15.39/2.41	thf(f2,axiom,(
15.39/2.41	  (cSUCC = (^[X2 : ($i > $o) > $o, X0 : $i > $o] : (? [X1] : ((X2 @ (^[X3 : $i] : ((X0 @ X3) & (X1 != X3)))) & (X0 @ X1)))))),
15.39/2.41	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSUCC_def)).
15.39/2.41	thf(f53,plain,(
15.39/2.41	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ (cSUCC @ X2))) | ($true != (sK8 @ X2)) | ($true != (cNAT @ X2))) )),
15.39/2.41	  inference(cnf_transformation,[],[f41])).
15.39/2.41	thf(f41,plain,(
15.39/2.41	  (($true != (sK8 @ sK9)) & ((($true = (cNAT @ sK9)) & ($true = (sK8 @ sK9))) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ cZERO)))) & ($true = (sK8 @ cZERO)) & ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ (cSUCC @ X2))) | ($true != (sK8 @ X2)) | ($true != (cNAT @ X2)))),
15.39/2.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f38,f40,f39])).
15.39/2.41	thf(f39,plain,(
15.39/2.41	  ? [X0 : (($i > $o) > $o) > $o] : (? [X1 : ($i > $o) > $o] : (((X0 @ X1) != $true) & ((((cNAT @ X1) = $true) & ((X0 @ X1) = $true)) | ($true = sP3) | ($true = (sP2 @ X0)) | ((X0 @ cZERO) != $true))) & ((X0 @ cZERO) = $true) & ! [X2 : ($i > $o) > $o] : (($true = (X0 @ (cSUCC @ X2))) | ((X0 @ X2) != $true) | ($true != (cNAT @ X2)))) => (? [X1 : ($i > $o) > $o] : (($true != (sK8 @ X1)) & ((((cNAT @ X1) = $true) & ($true = (sK8 @ X1))) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ cZERO)))) & ($true = (sK8 @ cZERO)) & ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ (cSUCC @ X2))) | ($true != (sK8 @ X2)) | ($true != (cNAT @ X2))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f40,plain,(
15.39/2.42	  ? [X1 : ($i > $o) > $o] : (($true != (sK8 @ X1)) & ((((cNAT @ X1) = $true) & ($true = (sK8 @ X1))) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ cZERO)))) => (($true != (sK8 @ sK9)) & ((($true = (cNAT @ sK9)) & ($true = (sK8 @ sK9))) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ cZERO))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f38,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (? [X1 : ($i > $o) > $o] : (((X0 @ X1) != $true) & ((((cNAT @ X1) = $true) & ((X0 @ X1) = $true)) | ($true = sP3) | ($true = (sP2 @ X0)) | ((X0 @ cZERO) != $true))) & ((X0 @ cZERO) = $true) & ! [X2 : ($i > $o) > $o] : (($true = (X0 @ (cSUCC @ X2))) | ((X0 @ X2) != $true) | ($true != (cNAT @ X2))))),
15.39/2.42	  inference(rectify,[],[f21])).
15.39/2.42	thf(f21,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (? [X2 : ($i > $o) > $o] : (((X0 @ X2) != $true) & ((($true = (cNAT @ X2)) & ((X0 @ X2) = $true)) | ($true = sP3) | ($true = (sP2 @ X0)) | ((X0 @ cZERO) != $true))) & ((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : (((X0 @ (cSUCC @ X1)) = $true) | ((X0 @ X1) != $true) | ((cNAT @ X1) != $true)))),
15.39/2.42	  inference(definition_folding,[],[f16,f20,f19,f18,f17])).
15.39/2.42	thf(f17,plain,(
15.39/2.42	  ! [X5 : ($i > $o) > $o] : (? [X8 : (($i > $o) > $o) > $o] : (($true != (X8 @ (cSUCC @ X5))) & ! [X9 : ($i > $o) > $o] : (($true = (X8 @ (cSUCC @ X9))) | ($true != (X8 @ X9))) & ($true = (X8 @ cZERO))) | ~($true = (sP0 @ X5)))),
15.39/2.42	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
15.39/2.42	thf(f18,plain,(
15.39/2.42	  ! [X5 : ($i > $o) > $o] : (! [X6 : (($i > $o) > $o) > $o] : (($true = (X6 @ X5)) | ? [X7 : ($i > $o) > $o] : (($true != (X6 @ (cSUCC @ X7))) & ($true = (X6 @ X7))) | ($true != (X6 @ cZERO))) | ~($true = (sP1 @ X5)))),
15.39/2.42	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
15.39/2.42	thf(f19,plain,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (? [X5 : ($i > $o) > $o] : ((($true = (sP0 @ X5)) | ($true != (X0 @ (cSUCC @ X5)))) & ($true = (X0 @ X5)) & ($true = (sP1 @ X5))) | ~($true = (sP2 @ X0)))),
15.39/2.42	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
15.39/2.42	thf(f20,plain,(
15.39/2.42	  ? [X3 : (($i > $o) > $o) > $o] : (($true != (X3 @ cZERO)) & ($true = (X3 @ cZERO)) & ! [X4 : ($i > $o) > $o] : (($true = (X3 @ (cSUCC @ X4))) | ($true != (X3 @ X4)))) | ~($true = sP3)),
15.39/2.42	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
15.39/2.42	thf(f16,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (? [X2 : ($i > $o) > $o] : (((X0 @ X2) != $true) & ((($true = (cNAT @ X2)) & ((X0 @ X2) = $true)) | ? [X3 : (($i > $o) > $o) > $o] : (($true != (X3 @ cZERO)) & ($true = (X3 @ cZERO)) & ! [X4 : ($i > $o) > $o] : (($true = (X3 @ (cSUCC @ X4))) | ($true != (X3 @ X4)))) | ? [X5 : ($i > $o) > $o] : ((? [X8 : (($i > $o) > $o) > $o] : (($true != (X8 @ (cSUCC @ X5))) & ! [X9 : ($i > $o) > $o] : (($true = (X8 @ (cSUCC @ X9))) | ($true != (X8 @ X9))) & ($true = (X8 @ cZERO))) | ($true != (X0 @ (cSUCC @ X5)))) & ($true = (X0 @ X5)) & ! [X6 : (($i > $o) > $o) > $o] : (($true = (X6 @ X5)) | ? [X7 : ($i > $o) > $o] : (($true != (X6 @ (cSUCC @ X7))) & ($true = (X6 @ X7))) | ($true != (X6 @ cZERO)))) | ((X0 @ cZERO) != $true))) & ((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : (((X0 @ (cSUCC @ X1)) = $true) | ((X0 @ X1) != $true) | ((cNAT @ X1) != $true)))),
15.39/2.42	  inference(flattening,[],[f15])).
15.39/2.42	thf(f15,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (? [X2 : ($i > $o) > $o] : (((X0 @ X2) != $true) & ((($true = (cNAT @ X2)) & ((X0 @ X2) = $true)) | (? [X3 : (($i > $o) > $o) > $o] : (($true != (X3 @ cZERO)) & (($true = (X3 @ cZERO)) & ! [X4 : ($i > $o) > $o] : (($true = (X3 @ (cSUCC @ X4))) | ($true != (X3 @ X4))))) | ? [X5 : ($i > $o) > $o] : ((? [X8 : (($i > $o) > $o) > $o] : (($true != (X8 @ (cSUCC @ X5))) & (! [X9 : ($i > $o) > $o] : (($true = (X8 @ (cSUCC @ X9))) | ($true != (X8 @ X9))) & ($true = (X8 @ cZERO)))) | ($true != (X0 @ (cSUCC @ X5)))) & (($true = (X0 @ X5)) & ! [X6 : (($i > $o) > $o) > $o] : (($true = (X6 @ X5)) | (? [X7 : ($i > $o) > $o] : (($true != (X6 @ (cSUCC @ X7))) & ($true = (X6 @ X7))) | ($true != (X6 @ cZERO)))))) | ((X0 @ cZERO) != $true)))) & (((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : ((((X0 @ (cSUCC @ X1)) = $true) | ((X0 @ X1) != $true)) | ((cNAT @ X1) != $true))))),
15.39/2.42	  inference(ennf_transformation,[],[f8])).
15.39/2.42	thf(f8,plain,(
15.39/2.42	  ~! [X0 : (($i > $o) > $o) > $o] : ((((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : (((cNAT @ X1) = $true) => (((X0 @ X1) = $true) => ((X0 @ (cSUCC @ X1)) = $true)))) => ! [X2 : ($i > $o) > $o] : (((! [X3 : (($i > $o) > $o) > $o] : ((($true = (X3 @ cZERO)) & ! [X4 : ($i > $o) > $o] : (($true = (X3 @ X4)) => ($true = (X3 @ (cSUCC @ X4))))) => ($true = (X3 @ cZERO))) & ! [X5 : ($i > $o) > $o] : ((($true = (X0 @ X5)) & ! [X6 : (($i > $o) > $o) > $o] : ((! [X7 : ($i > $o) > $o] : (($true = (X6 @ X7)) => ($true = (X6 @ (cSUCC @ X7)))) & ($true = (X6 @ cZERO))) => ($true = (X6 @ X5)))) => (! [X8 : (($i > $o) > $o) > $o] : ((! [X9 : ($i > $o) > $o] : (($true = (X8 @ X9)) => ($true = (X8 @ (cSUCC @ X9)))) & ($true = (X8 @ cZERO))) => ($true = (X8 @ (cSUCC @ X5)))) & ($true = (X0 @ (cSUCC @ X5))))) & ((X0 @ cZERO) = $true)) => (($true = (cNAT @ X2)) & ((X0 @ X2) = $true))) => ((X0 @ X2) = $true)))),
15.39/2.42	  inference(fool_elimination,[],[f7])).
15.39/2.42	thf(f7,plain,(
15.39/2.42	  ~! [X0 : (($i > $o) > $o) > $o] : (((X0 @ cZERO) & ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1))))) => ! [X2 : ($i > $o) > $o] : (((! [X3 : (($i > $o) > $o) > $o] : (((X3 @ cZERO) & ! [X4 : ($i > $o) > $o] : ((X3 @ X4) => (X3 @ (cSUCC @ X4)))) => (X3 @ cZERO)) & ! [X5 : ($i > $o) > $o] : (((X0 @ X5) & ! [X6 : (($i > $o) > $o) > $o] : ((! [X7 : ($i > $o) > $o] : ((X6 @ X7) => (X6 @ (cSUCC @ X7))) & (X6 @ cZERO)) => (X6 @ X5))) => (! [X8 : (($i > $o) > $o) > $o] : ((! [X9 : ($i > $o) > $o] : ((X8 @ X9) => (X8 @ (cSUCC @ X9))) & (X8 @ cZERO)) => (X8 @ (cSUCC @ X5))) & (X0 @ (cSUCC @ X5)))) & (X0 @ cZERO)) => ((cNAT @ X2) & (X0 @ X2))) => (X0 @ X2)))),
15.39/2.42	  inference(rectify,[],[f5])).
15.39/2.42	thf(f5,negated_conjecture,(
15.39/2.42	  ~! [X0 : (($i > $o) > $o) > $o] : (((X0 @ cZERO) & ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1))))) => ! [X4 : ($i > $o) > $o] : (((! [X5 : (($i > $o) > $o) > $o] : (((X5 @ cZERO) & ! [X1 : ($i > $o) > $o] : ((X5 @ X1) => (X5 @ (cSUCC @ X1)))) => (X5 @ cZERO)) & ! [X1 : ($i > $o) > $o] : (((X0 @ X1) & ! [X5 : (($i > $o) > $o) > $o] : ((! [X6 : ($i > $o) > $o] : ((X5 @ X6) => (X5 @ (cSUCC @ X6))) & (X5 @ cZERO)) => (X5 @ X1))) => (! [X5 : (($i > $o) > $o) > $o] : ((! [X6 : ($i > $o) > $o] : ((X5 @ X6) => (X5 @ (cSUCC @ X6))) & (X5 @ cZERO)) => (X5 @ (cSUCC @ X1))) & (X0 @ (cSUCC @ X1)))) & (X0 @ cZERO)) => ((cNAT @ X4) & (X0 @ X4))) => (X0 @ X4)))),
15.39/2.42	  inference(negated_conjecture,[],[f4])).
15.39/2.42	thf(f4,conjecture,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (((X0 @ cZERO) & ! [X1 : ($i > $o) > $o] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1))))) => ! [X4 : ($i > $o) > $o] : (((! [X5 : (($i > $o) > $o) > $o] : (((X5 @ cZERO) & ! [X1 : ($i > $o) > $o] : ((X5 @ X1) => (X5 @ (cSUCC @ X1)))) => (X5 @ cZERO)) & ! [X1 : ($i > $o) > $o] : (((X0 @ X1) & ! [X5 : (($i > $o) > $o) > $o] : ((! [X6 : ($i > $o) > $o] : ((X5 @ X6) => (X5 @ (cSUCC @ X6))) & (X5 @ cZERO)) => (X5 @ X1))) => (! [X5 : (($i > $o) > $o) > $o] : ((! [X6 : ($i > $o) > $o] : ((X5 @ X6) => (X5 @ (cSUCC @ X6))) & (X5 @ cZERO)) => (X5 @ (cSUCC @ X1))) & (X0 @ (cSUCC @ X1)))) & (X0 @ cZERO)) => ((cNAT @ X4) & (X0 @ X4))) => (X0 @ X4)))),
15.39/2.42	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX6102_C)).
15.39/2.42	thf(f96,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : (($i > $o) > $o) > $o] : (($true != (X1 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ (sK6 @ X1))) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true = (X1 @ X0)) | ($true != (X1 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X0))) )),
15.39/2.42	  inference(combinator_demodulation,[],[f66])).
15.39/2.42	thf(f66,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : (($i > $o) > $o) > $o] : (($true = (X1 @ X0)) | ($true != (X1 @ (((bCOMB @ (bCOMB @ vSIGMA($i))) @ ((bCOMB @ (sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND)))) @ ((cCOMB @ ((bCOMB @ bCOMB) @ bCOMB)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))) @ (sK6 @ X1)))) | ($true != (X1 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f49,f60,f58])).
15.39/2.42	thf(f49,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : (($i > $o) > $o) > $o] : (($true = (X1 @ X0)) | ($true != (X1 @ (cSUCC @ (sK6 @ X1)))) | ($true != (X1 @ cZERO)) | ($true != (sP1 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f33])).
15.39/2.42	thf(f33,plain,(
15.39/2.42	  ! [X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : (($true = (X1 @ X0)) | (($true != (X1 @ (cSUCC @ (sK6 @ X1)))) & ($true = (X1 @ (sK6 @ X1)))) | ($true != (X1 @ cZERO))) | ($true != (sP1 @ X0)))),
15.39/2.42	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f31,f32])).
15.39/2.42	thf(f32,plain,(
15.39/2.42	  ! [X1 : (($i > $o) > $o) > $o] : (? [X2 : ($i > $o) > $o] : (($true != (X1 @ (cSUCC @ X2))) & ($true = (X1 @ X2))) => (($true != (X1 @ (cSUCC @ (sK6 @ X1)))) & ($true = (X1 @ (sK6 @ X1)))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f31,plain,(
15.39/2.42	  ! [X0 : ($i > $o) > $o] : (! [X1 : (($i > $o) > $o) > $o] : (($true = (X1 @ X0)) | ? [X2 : ($i > $o) > $o] : (($true != (X1 @ (cSUCC @ X2))) & ($true = (X1 @ X2))) | ($true != (X1 @ cZERO))) | ($true != (sP1 @ X0)))),
15.39/2.42	  inference(rectify,[],[f30])).
15.39/2.42	thf(f30,plain,(
15.39/2.42	  ! [X5 : ($i > $o) > $o] : (! [X6 : (($i > $o) > $o) > $o] : (($true = (X6 @ X5)) | ? [X7 : ($i > $o) > $o] : (($true != (X6 @ (cSUCC @ X7))) & ($true = (X6 @ X7))) | ($true != (X6 @ cZERO))) | ($true != (sP1 @ X5)))),
15.39/2.42	  inference(nnf_transformation,[],[f18])).
15.39/2.42	thf(f97,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true != (X0 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ (sK5 @ X0))) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true = (sP0 @ (sK5 @ X0))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(combinator_demodulation,[],[f65])).
15.39/2.42	thf(f65,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true = (sP0 @ (sK5 @ 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($i)))))))) @ (sK5 @ X0)))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f47,f60])).
15.39/2.42	thf(f47,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true = (sP0 @ (sK5 @ X0))) | ($true != (X0 @ (cSUCC @ (sK5 @ X0)))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f29])).
15.39/2.42	thf(f29,plain,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (((($true = (sP0 @ (sK5 @ X0))) | ($true != (X0 @ (cSUCC @ (sK5 @ X0))))) & ($true = (X0 @ (sK5 @ X0))) & ($true = (sP1 @ (sK5 @ X0)))) | ($true != (sP2 @ X0)))),
15.39/2.42	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f27,f28])).
15.39/2.42	thf(f28,plain,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (? [X1 : ($i > $o) > $o] : ((($true = (sP0 @ X1)) | ((X0 @ (cSUCC @ X1)) != $true)) & ((X0 @ X1) = $true) & ($true = (sP1 @ X1))) => ((($true = (sP0 @ (sK5 @ X0))) | ($true != (X0 @ (cSUCC @ (sK5 @ X0))))) & ($true = (X0 @ (sK5 @ X0))) & ($true = (sP1 @ (sK5 @ X0)))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f27,plain,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (? [X1 : ($i > $o) > $o] : ((($true = (sP0 @ X1)) | ((X0 @ (cSUCC @ X1)) != $true)) & ((X0 @ X1) = $true) & ($true = (sP1 @ X1))) | ($true != (sP2 @ X0)))),
15.39/2.42	  inference(rectify,[],[f26])).
15.39/2.42	thf(f26,plain,(
15.39/2.42	  ! [X0 : (($i > $o) > $o) > $o] : (? [X5 : ($i > $o) > $o] : ((($true = (sP0 @ X5)) | ($true != (X0 @ (cSUCC @ X5)))) & ($true = (X0 @ X5)) & ($true = (sP1 @ X5))) | ($true != (sP2 @ X0)))),
15.39/2.42	  inference(nnf_transformation,[],[f19])).
15.39/2.42	thf(f616,plain,(
15.39/2.42	  ~spl10_4 | ~spl10_16 | ~spl10_19),
15.39/2.42	  inference(avatar_contradiction_clause,[],[f615])).
15.39/2.42	thf(f615,plain,(
15.39/2.42	  $false | (~spl10_4 | ~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f614])).
15.39/2.42	thf(f614,plain,(
15.39/2.42	  ($true != $true) | (~spl10_4 | ~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(superposition,[],[f613,f117])).
15.39/2.42	thf(f613,plain,(
15.39/2.42	  ($true != (sP2 @ sK8)) | (~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f612])).
15.39/2.42	thf(f612,plain,(
15.39/2.42	  ($true != $true) | ($true != (sP2 @ sK8)) | (~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(superposition,[],[f598,f45])).
15.39/2.42	thf(f45,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true = (sP1 @ (sK5 @ X0))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f29])).
15.39/2.42	thf(f598,plain,(
15.39/2.42	  ($true != (sP1 @ (sK5 @ sK8))) | (~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f589])).
15.39/2.42	thf(f589,plain,(
15.39/2.42	  ($true = $false) | ($true != (sP1 @ (sK5 @ sK8))) | (~spl10_16 | ~spl10_19)),
15.39/2.42	  inference(superposition,[],[f509,f349])).
15.39/2.42	thf(f349,plain,(
15.39/2.42	  ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8))) | ~spl10_16),
15.39/2.42	  inference(avatar_component_clause,[],[f347])).
15.39/2.42	thf(f347,plain,(
15.39/2.42	  spl10_16 <=> ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8)))),
15.39/2.42	  introduced(avatar_definition,[new_symbols(naming,[spl10_16])])).
15.39/2.42	thf(f509,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true = ((sK11 @ (sK5 @ sK8)) @ X0)) | ($true != (sP1 @ X0))) ) | ~spl10_19),
15.39/2.42	  inference(avatar_component_clause,[],[f508])).
15.39/2.42	thf(f514,plain,(
15.39/2.42	  spl10_19 | spl10_20 | ~spl10_18),
15.39/2.42	  inference(avatar_split_clause,[],[f506,f501,f511,f508])).
15.39/2.42	thf(f506,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X0)) | ($true != (sP1 @ X0))) ) | ~spl10_18),
15.39/2.42	  inference(trivial_inequality_removal,[],[f505])).
15.39/2.42	thf(f505,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != $true) | ($true = ((sK11 @ (sK5 @ sK8)) @ (sK6 @ (sK11 @ (sK5 @ sK8))))) | ($true = ((sK11 @ (sK5 @ sK8)) @ X0)) | ($true != (sP1 @ X0))) ) | ~spl10_18),
15.39/2.42	  inference(superposition,[],[f67,f503])).
15.39/2.42	thf(f503,plain,(
15.39/2.42	  ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ~spl10_18),
15.39/2.42	  inference(avatar_component_clause,[],[f501])).
15.39/2.42	thf(f67,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : (($i > $o) > $o) > $o] : (($true != (X1 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true = (X1 @ (sK6 @ X1))) | ($true = (X1 @ X0)) | ($true != (sP1 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f48,f58])).
15.39/2.42	thf(f48,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : (($i > $o) > $o) > $o] : (($true = (X1 @ X0)) | ($true = (X1 @ (sK6 @ X1))) | ($true != (X1 @ cZERO)) | ($true != (sP1 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f33])).
15.39/2.42	thf(f504,plain,(
15.39/2.42	  spl10_18 | spl10_14 | ~spl10_4 | ~spl10_17),
15.39/2.42	  inference(avatar_split_clause,[],[f499,f351,f115,f205,f501])).
15.39/2.42	thf(f499,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | (~spl10_4 | ~spl10_17)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f498])).
15.39/2.42	thf(f498,plain,(
15.39/2.42	  ($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | (~spl10_4 | ~spl10_17)),
15.39/2.42	  inference(forward_demodulation,[],[f497,f352])).
15.39/2.42	thf(f497,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sK8 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ~spl10_4),
15.39/2.42	  inference(trivial_inequality_removal,[],[f496])).
15.39/2.42	thf(f496,plain,(
15.39/2.42	  ($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sK8 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ~spl10_4),
15.39/2.42	  inference(forward_demodulation,[],[f495,f117])).
15.39/2.42	thf(f495,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != (sK8 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  inference(trivial_inequality_removal,[],[f492])).
15.39/2.42	thf(f492,plain,(
15.39/2.42	  ($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != (sK8 @ (sK5 @ sK8))) | ($true = ((sK11 @ (sK5 @ sK8)) @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  inference(superposition,[],[f97,f81])).
15.39/2.42	thf(f81,plain,(
15.39/2.42	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($true = ((sK11 @ X2) @ ((bCOMB @ vNOT) @ vSIGMA($i))))) )),
15.39/2.42	  inference(binary_proxy_clausification,[],[f79])).
15.39/2.42	thf(f392,plain,(
15.39/2.42	  ~spl10_4 | ~spl10_14),
15.39/2.42	  inference(avatar_contradiction_clause,[],[f391])).
15.39/2.42	thf(f391,plain,(
15.39/2.42	  $false | (~spl10_4 | ~spl10_14)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f390])).
15.39/2.42	thf(f390,plain,(
15.39/2.42	  ($true != $true) | (~spl10_4 | ~spl10_14)),
15.39/2.42	  inference(superposition,[],[f376,f117])).
15.39/2.42	thf(f376,plain,(
15.39/2.42	  ($true != (sP2 @ sK8)) | ~spl10_14),
15.39/2.42	  inference(trivial_inequality_removal,[],[f375])).
15.39/2.42	thf(f375,plain,(
15.39/2.42	  ($true != $true) | ($true != (sP2 @ sK8)) | ~spl10_14),
15.39/2.42	  inference(superposition,[],[f299,f207])).
15.39/2.42	thf(f207,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ~spl10_14),
15.39/2.42	  inference(avatar_component_clause,[],[f205])).
15.39/2.42	thf(f299,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true != (sP0 @ (sK5 @ X0))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(trivial_inequality_removal,[],[f296])).
15.39/2.42	thf(f296,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true != $true) | ($true != (sP0 @ (sK5 @ X0))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(superposition,[],[f291,f45])).
15.39/2.42	thf(f291,plain,(
15.39/2.42	  ( ! [X7 : ($i > $o) > $o] : (($true != (sP1 @ X7)) | ($true != (sP0 @ X7))) )),
15.39/2.42	  inference(trivial_inequality_removal,[],[f290])).
15.39/2.42	thf(f290,plain,(
15.39/2.42	  ( ! [X7 : ($i > $o) > $o] : (($true != $true) | ($true != (sP0 @ X7)) | ($true != (sP1 @ X7))) )),
15.39/2.42	  inference(duplicate_literal_removal,[],[f283])).
15.39/2.42	thf(f283,plain,(
15.39/2.42	  ( ! [X7 : ($i > $o) > $o] : (($true != $true) | ($true != (sP0 @ X7)) | ($true != (sP0 @ X7)) | ($true != (sP1 @ X7))) )),
15.39/2.42	  inference(superposition,[],[f177,f280])).
15.39/2.42	thf(f280,plain,(
15.39/2.42	  ( ! [X15 : ($i > $o) > $o,X16 : ($i > $o) > $o] : (($true = ((sK7 @ X15) @ X16)) | ($true != (sP0 @ X15)) | ($true != (sP1 @ X16))) )),
15.39/2.42	  inference(global_subsumption,[],[f146,f227])).
15.39/2.42	thf(f227,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true != ((sK7 @ X0) @ (sK6 @ (sK7 @ X0)))) | ($true != (sP1 @ X1)) | ($true = ((sK7 @ X0) @ X1)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(global_subsumption,[],[f70,f216])).
15.39/2.42	thf(f216,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ X1)) | ($true != ((sK7 @ X0) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X1)) | ($true != ((sK7 @ X0) @ (sK6 @ (sK7 @ X0)))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(trivial_inequality_removal,[],[f213])).
15.39/2.42	thf(f213,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true != $true) | ($true = ((sK7 @ X0) @ X1)) | ($true != ((sK7 @ X0) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP1 @ X1)) | ($true != ((sK7 @ X0) @ (sK6 @ (sK7 @ X0)))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(superposition,[],[f96,f94])).
15.39/2.42	thf(f94,plain,(
15.39/2.42	  ( ! [X2 : ($i > $o) > $o,X0 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != ((sK7 @ X0) @ X2)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(combinator_demodulation,[],[f69])).
15.39/2.42	thf(f69,plain,(
15.39/2.42	  ( ! [X2 : ($i > $o) > $o,X0 : ($i > $o) > $o] : (($true = ((sK7 @ 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)))))))) @ X2))) | ($true != ((sK7 @ X0) @ X2)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f51,f60])).
15.39/2.42	thf(f51,plain,(
15.39/2.42	  ( ! [X2 : ($i > $o) > $o,X0 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ (cSUCC @ X2))) | ($true != ((sK7 @ X0) @ X2)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f37])).
15.39/2.42	thf(f37,plain,(
15.39/2.42	  ! [X0 : ($i > $o) > $o] : ((($true != ((sK7 @ X0) @ (cSUCC @ X0))) & ! [X2 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ (cSUCC @ X2))) | ($true != ((sK7 @ X0) @ X2))) & ($true = ((sK7 @ X0) @ cZERO))) | ($true != (sP0 @ X0)))),
15.39/2.42	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f35,f36])).
15.39/2.42	thf(f36,plain,(
15.39/2.42	  ! [X0 : ($i > $o) > $o] : (? [X1 : (($i > $o) > $o) > $o] : (($true != (X1 @ (cSUCC @ X0))) & ! [X2 : ($i > $o) > $o] : (($true = (X1 @ (cSUCC @ X2))) | ($true != (X1 @ X2))) & ($true = (X1 @ cZERO))) => (($true != ((sK7 @ X0) @ (cSUCC @ X0))) & ! [X2 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ (cSUCC @ X2))) | ($true != ((sK7 @ X0) @ X2))) & ($true = ((sK7 @ X0) @ cZERO))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f35,plain,(
15.39/2.42	  ! [X0 : ($i > $o) > $o] : (? [X1 : (($i > $o) > $o) > $o] : (($true != (X1 @ (cSUCC @ X0))) & ! [X2 : ($i > $o) > $o] : (($true = (X1 @ (cSUCC @ X2))) | ($true != (X1 @ X2))) & ($true = (X1 @ cZERO))) | ($true != (sP0 @ X0)))),
15.39/2.42	  inference(rectify,[],[f34])).
15.39/2.42	thf(f34,plain,(
15.39/2.42	  ! [X5 : ($i > $o) > $o] : (? [X8 : (($i > $o) > $o) > $o] : (($true != (X8 @ (cSUCC @ X5))) & ! [X9 : ($i > $o) > $o] : (($true = (X8 @ (cSUCC @ X9))) | ($true != (X8 @ X9))) & ($true = (X8 @ cZERO))) | ($true != (sP0 @ X5)))),
15.39/2.42	  inference(nnf_transformation,[],[f17])).
15.39/2.42	thf(f70,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f50,f58])).
15.39/2.42	thf(f50,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ cZERO)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f37])).
15.39/2.42	thf(f146,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true = ((sK7 @ X0) @ (sK6 @ (sK7 @ X0)))) | ($true = ((sK7 @ X0) @ X1)) | ($true != (sP1 @ X1)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(trivial_inequality_removal,[],[f143])).
15.39/2.42	thf(f143,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o,X1 : ($i > $o) > $o] : (($true != $true) | ($true = ((sK7 @ X0) @ (sK6 @ (sK7 @ X0)))) | ($true = ((sK7 @ X0) @ X1)) | ($true != (sP1 @ X1)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(superposition,[],[f67,f70])).
15.39/2.42	thf(f177,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != ((sK7 @ X0) @ X0)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(trivial_inequality_removal,[],[f176])).
15.39/2.42	thf(f176,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != $true) | ($true != (sP0 @ X0)) | ($true != ((sK7 @ X0) @ X0))) )),
15.39/2.42	  inference(duplicate_literal_removal,[],[f175])).
15.39/2.42	thf(f175,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != $true) | ($true != (sP0 @ X0)) | ($true != ((sK7 @ X0) @ X0)) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(superposition,[],[f95,f94])).
15.39/2.42	thf(f95,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != ((sK7 @ X0) @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X0)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(combinator_demodulation,[],[f68])).
15.39/2.42	thf(f68,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != ((sK7 @ 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)))))))) @ X0))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(definition_unfolding,[],[f52,f60])).
15.39/2.42	thf(f52,plain,(
15.39/2.42	  ( ! [X0 : ($i > $o) > $o] : (($true != ((sK7 @ X0) @ (cSUCC @ X0))) | ($true != (sP0 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f37])).
15.39/2.42	thf(f374,plain,(
15.39/2.42	  ~spl10_4 | spl10_17),
15.39/2.42	  inference(avatar_contradiction_clause,[],[f373])).
15.39/2.42	thf(f373,plain,(
15.39/2.42	  $false | (~spl10_4 | spl10_17)),
15.39/2.42	  inference(trivial_inequality_removal,[],[f372])).
15.39/2.42	thf(f372,plain,(
15.39/2.42	  ($true != $true) | (~spl10_4 | spl10_17)),
15.39/2.42	  inference(superposition,[],[f371,f117])).
15.39/2.42	thf(f371,plain,(
15.39/2.42	  ($true != (sP2 @ sK8)) | spl10_17),
15.39/2.42	  inference(trivial_inequality_removal,[],[f368])).
15.39/2.42	thf(f368,plain,(
15.39/2.42	  ($true != $true) | ($true != (sP2 @ sK8)) | spl10_17),
15.39/2.42	  inference(superposition,[],[f353,f46])).
15.39/2.42	thf(f46,plain,(
15.39/2.42	  ( ! [X0 : (($i > $o) > $o) > $o] : (($true = (X0 @ (sK5 @ X0))) | ($true != (sP2 @ X0))) )),
15.39/2.42	  inference(cnf_transformation,[],[f29])).
15.39/2.42	thf(f353,plain,(
15.39/2.42	  ($true != (sK8 @ (sK5 @ sK8))) | spl10_17),
15.39/2.42	  inference(avatar_component_clause,[],[f351])).
15.39/2.42	thf(f354,plain,(
15.39/2.42	  spl10_16 | ~spl10_17 | spl10_14 | ~spl10_4),
15.39/2.42	  inference(avatar_split_clause,[],[f345,f115,f205,f351,f347])).
15.39/2.42	thf(f345,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8))) | ~spl10_4),
15.39/2.42	  inference(trivial_inequality_removal,[],[f344])).
15.39/2.42	thf(f344,plain,(
15.39/2.42	  ($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8))) | ~spl10_4),
15.39/2.42	  inference(forward_demodulation,[],[f343,f117])).
15.39/2.42	thf(f343,plain,(
15.39/2.42	  ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8)))),
15.39/2.42	  inference(trivial_inequality_removal,[],[f340])).
15.39/2.42	thf(f340,plain,(
15.39/2.42	  ($true != $true) | ($true = (sP0 @ (sK5 @ sK8))) | ($true != (sP2 @ sK8)) | ($true != (sK8 @ (sK5 @ sK8))) | ($false = ((sK11 @ (sK5 @ sK8)) @ (sK5 @ sK8)))),
15.39/2.42	  inference(superposition,[],[f97,f78])).
15.39/2.42	thf(f78,plain,(
15.39/2.42	  ( ! [X2 : ($i > $o) > $o] : (($true = (sK8 @ ((bCOMB @ vSIGMA($i)) @ ((sCOMB @ ((bCOMB @ sCOMB) @ (bCOMB @ vAND))) @ ((bCOMB @ (bCOMB @ X2)) @ (cCOMB @ ((bCOMB @ sCOMB) @ ((bCOMB @ (bCOMB @ vAND)) @ ((bCOMB @ (bCOMB @ vNOT)) @ vEQ($i)))))))))) | ($true != (sK8 @ X2)) | ($false = ((sK11 @ X2) @ X2))) )),
15.39/2.42	  inference(binary_proxy_clausification,[],[f77])).
15.39/2.42	thf(f131,plain,(
15.39/2.42	  spl10_3),
15.39/2.42	  inference(avatar_contradiction_clause,[],[f130])).
15.39/2.42	thf(f130,plain,(
15.39/2.42	  $false | spl10_3),
15.39/2.42	  inference(trivial_inequality_removal,[],[f129])).
15.39/2.42	thf(f129,plain,(
15.39/2.42	  ($true != $true) | spl10_3),
15.39/2.42	  inference(superposition,[],[f113,f73])).
15.39/2.42	thf(f73,plain,(
15.39/2.42	  ($true = (sK8 @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  inference(definition_unfolding,[],[f54,f58])).
15.39/2.42	thf(f54,plain,(
15.39/2.42	  ($true = (sK8 @ cZERO))),
15.39/2.42	  inference(cnf_transformation,[],[f41])).
15.39/2.42	thf(f113,plain,(
15.39/2.42	  ($true != (sK8 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | spl10_3),
15.39/2.42	  inference(avatar_component_clause,[],[f111])).
15.39/2.42	thf(f111,plain,(
15.39/2.42	  spl10_3 <=> ($true = (sK8 @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  introduced(avatar_definition,[new_symbols(naming,[spl10_3])])).
15.39/2.42	thf(f128,plain,(
15.39/2.42	  ~spl10_3 | spl10_4),
15.39/2.42	  inference(avatar_split_clause,[],[f127,f115,f111])).
15.39/2.42	thf(f127,plain,(
15.39/2.42	  ($true = (sP2 @ sK8)) | ($true != (sK8 @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  inference(global_subsumption,[],[f108,f57,f72])).
15.39/2.42	thf(f72,plain,(
15.39/2.42	  ($true = (sK8 @ sK9)) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ ((bCOMB @ vNOT) @ vSIGMA($i))))),
15.39/2.42	  inference(definition_unfolding,[],[f55,f58])).
15.39/2.42	thf(f55,plain,(
15.39/2.42	  ($true = (sK8 @ sK9)) | ($true = sP3) | ($true = (sP2 @ sK8)) | ($true != (sK8 @ cZERO))),
15.39/2.42	  inference(cnf_transformation,[],[f41])).
15.39/2.42	thf(f57,plain,(
15.39/2.42	  ($true != (sK8 @ sK9))),
15.39/2.42	  inference(cnf_transformation,[],[f41])).
15.39/2.42	thf(f108,plain,(
15.39/2.42	  ($true != sP3)),
15.39/2.42	  inference(global_subsumption,[],[f62,f63])).
15.39/2.42	thf(f63,plain,(
15.39/2.42	  ($true = (sK4 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != sP3)),
15.39/2.42	  inference(definition_unfolding,[],[f43,f58])).
15.39/2.42	thf(f43,plain,(
15.39/2.42	  ($true = (sK4 @ cZERO)) | ($true != sP3)),
15.39/2.42	  inference(cnf_transformation,[],[f25])).
15.39/2.42	thf(f25,plain,(
15.39/2.42	  (($true != (sK4 @ cZERO)) & ($true = (sK4 @ cZERO)) & ! [X1 : ($i > $o) > $o] : (($true = (sK4 @ (cSUCC @ X1))) | ($true != (sK4 @ X1)))) | ($true != sP3)),
15.39/2.42	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f23,f24])).
15.39/2.42	thf(f24,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (((X0 @ cZERO) != $true) & ((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : (((X0 @ (cSUCC @ X1)) = $true) | ((X0 @ X1) != $true))) => (($true != (sK4 @ cZERO)) & ($true = (sK4 @ cZERO)) & ! [X1 : ($i > $o) > $o] : (($true = (sK4 @ (cSUCC @ X1))) | ($true != (sK4 @ X1))))),
15.39/2.42	  introduced(choice_axiom,[])).
15.39/2.42	thf(f23,plain,(
15.39/2.42	  ? [X0 : (($i > $o) > $o) > $o] : (((X0 @ cZERO) != $true) & ((X0 @ cZERO) = $true) & ! [X1 : ($i > $o) > $o] : (((X0 @ (cSUCC @ X1)) = $true) | ((X0 @ X1) != $true))) | ($true != sP3)),
15.39/2.42	  inference(rectify,[],[f22])).
15.39/2.42	thf(f22,plain,(
15.39/2.42	  ? [X3 : (($i > $o) > $o) > $o] : (($true != (X3 @ cZERO)) & ($true = (X3 @ cZERO)) & ! [X4 : ($i > $o) > $o] : (($true = (X3 @ (cSUCC @ X4))) | ($true != (X3 @ X4)))) | ($true != sP3)),
15.39/2.42	  inference(nnf_transformation,[],[f20])).
15.39/2.42	thf(f62,plain,(
15.39/2.42	  ($true != (sK4 @ ((bCOMB @ vNOT) @ vSIGMA($i)))) | ($true != sP3)),
15.39/2.42	  inference(definition_unfolding,[],[f44,f58])).
15.39/2.42	thf(f44,plain,(
15.39/2.42	  ($true != (sK4 @ cZERO)) | ($true != sP3)),
15.39/2.42	  inference(cnf_transformation,[],[f25])).
15.39/2.42	% SZS output end Proof for theBenchmark
15.39/2.42	% (16169)------------------------------
15.39/2.42	% (16169)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
15.39/2.42	% (16169)Termination reason: Refutation
15.39/2.42	
15.39/2.42	% (16169)Memory used [KB]: 16630
15.39/2.42	% (16169)Time elapsed: 1.067 s
15.39/2.42	% (16169)------------------------------
15.39/2.42	% (16169)------------------------------
15.39/2.42	% (16129)Success in time 2.053 s
15.39/2.43	EOF