0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d
0.12/0.32	% Computer   : n028.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 960
0.12/0.32	% WCLimit    : 120
0.12/0.32	% DateTime   : Thu Jul  2 09:35:21 EDT 2020
0.12/0.33	% CPUTime    : 
0.19/0.38	% (20450)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
0.19/0.38	% (20449)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
0.19/0.38	% (20446)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
0.19/0.38	% (20448)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
0.19/0.38	% (20447)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
0.19/0.39	% (20466)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
0.19/0.39	% (20467)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
0.19/0.40	% (20445)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
0.19/0.40	% (20444)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
0.19/0.40	% (20473)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
0.19/0.40	% (20452)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
0.19/0.40	% (20453)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
0.19/0.40	% (20459)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
0.19/0.40	% (20470)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
0.19/0.40	% (20472)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
0.19/0.40	% (20471)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
0.19/0.41	% (20465)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
0.19/0.41	% (20464)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
0.19/0.41	% (20462)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
0.19/0.41	% (20463)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
0.19/0.41	% (20458)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
0.19/0.41	% (20451)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
0.19/0.41	% (20469)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
0.19/0.41	% (20468)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
0.19/0.42	% (20460)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
0.19/0.42	% (20461)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
0.19/0.42	% (20454)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
0.19/0.42	% (20456)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
0.19/0.43	% (20455)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
0.19/0.44	% (20457)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
3.99/0.89	% (20458)Time limit reached!
3.99/0.89	% (20458)------------------------------
3.99/0.89	% (20458)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.99/0.91	% (20458)Termination reason: Time limit
3.99/0.91	
3.99/0.91	% (20458)Memory used [KB]: 8443
3.99/0.91	% (20458)Time elapsed: 0.525 s
3.99/0.91	% (20458)------------------------------
3.99/0.91	% (20458)------------------------------
4.60/0.94	% (20474)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
5.30/1.05	% (20450)Time limit reached!
5.30/1.05	% (20450)------------------------------
5.30/1.05	% (20450)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.30/1.05	% (20450)Termination reason: Time limit
5.30/1.05	% (20450)Termination phase: Saturation
5.30/1.05	
5.30/1.05	% (20450)Memory used [KB]: 20340
5.30/1.05	% (20450)Time elapsed: 0.672 s
5.30/1.05	% (20450)------------------------------
5.30/1.05	% (20450)------------------------------
5.68/1.11	% (20475)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
5.68/1.14	% (20446)Time limit reached!
5.68/1.14	% (20446)------------------------------
5.68/1.14	% (20446)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.68/1.14	% (20446)Termination reason: Time limit
5.68/1.14	
5.68/1.14	% (20446)Memory used [KB]: 12792
5.68/1.14	% (20446)Time elapsed: 0.763 s
5.68/1.14	% (20446)------------------------------
5.68/1.14	% (20446)------------------------------
6.53/1.20	% (20476)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
8.85/1.49	% (20466)Time limit reached!
8.85/1.49	% (20466)------------------------------
8.85/1.49	% (20466)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.85/1.49	% (20466)Termination reason: Time limit
8.85/1.49	% (20466)Termination phase: Saturation
8.85/1.49	
8.85/1.49	% (20466)Memory used [KB]: 3454
8.85/1.49	% (20466)Time elapsed: 1.100 s
8.85/1.49	% (20466)------------------------------
8.85/1.49	% (20466)------------------------------
9.22/1.54	% (20477)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
9.31/1.57	% (20447)Time limit reached!
9.31/1.57	% (20447)------------------------------
9.31/1.57	% (20447)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
9.31/1.57	% (20447)Termination reason: Time limit
9.31/1.57	
9.31/1.57	% (20447)Memory used [KB]: 15351
9.31/1.57	% (20447)Time elapsed: 1.178 s
9.31/1.57	% (20447)------------------------------
9.31/1.57	% (20447)------------------------------
10.01/1.66	% (20478)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
11.15/1.78	% (20456)Time limit reached!
11.15/1.78	% (20456)------------------------------
11.15/1.78	% (20456)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.15/1.78	% (20456)Termination reason: Time limit
11.15/1.78	% (20456)Termination phase: Function definition elimination
11.15/1.78	
11.15/1.78	% (20456)Memory used [KB]: 2430
11.15/1.78	% (20456)Time elapsed: 0.500 s
11.15/1.78	% (20456)------------------------------
11.15/1.78	% (20456)------------------------------
11.61/1.83	% (20479)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
12.77/2.03	% (20445)Time limit reached!
12.77/2.03	% (20445)------------------------------
12.77/2.03	% (20445)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
12.77/2.03	% (20445)Termination reason: Time limit
12.77/2.03	% (20445)Termination phase: Function definition elimination
12.77/2.03	
12.77/2.03	% (20445)Memory used [KB]: 2430
12.77/2.03	% (20445)Time elapsed: 0.500 s
12.77/2.03	% (20445)------------------------------
12.77/2.03	% (20445)------------------------------
13.59/2.09	% (20455)Time limit reached!
13.59/2.09	% (20455)------------------------------
13.59/2.09	% (20455)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
13.59/2.09	% (20455)Termination reason: Time limit
13.59/2.09	% (20455)Termination phase: Property scanning
13.59/2.09	
13.59/2.09	% (20455)Memory used [KB]: 2686
13.59/2.09	% (20455)Time elapsed: 0.500 s
13.59/2.09	% (20455)------------------------------
13.59/2.09	% (20455)------------------------------
13.59/2.11	% (20480)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
14.19/2.16	% (20481)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
14.19/2.20	% (20477)Refutation not found, incomplete strategy
14.19/2.20	% (20477)------------------------------
14.19/2.20	% (20477)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.19/2.20	% (20477)Termination reason: Refutation not found, incomplete strategy
14.19/2.20	
14.19/2.20	% (20477)Memory used [KB]: 13560
14.19/2.20	% (20477)Time elapsed: 0.694 s
14.19/2.20	% (20477)------------------------------
14.19/2.20	% (20477)------------------------------
14.19/2.21	% (20444)Time limit reached!
14.19/2.21	% (20444)------------------------------
14.19/2.21	% (20444)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.19/2.21	% (20444)Termination reason: Time limit
14.19/2.21	% (20444)Termination phase: Function definition elimination
14.19/2.21	
14.19/2.21	% (20444)Memory used [KB]: 2430
14.19/2.21	% (20444)Time elapsed: 0.500 s
14.19/2.21	% (20444)------------------------------
14.19/2.21	% (20444)------------------------------
14.88/2.26	% (20482)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
14.88/2.29	% (20483)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
15.38/2.36	% (20453)Time limit reached!
15.38/2.36	% (20453)------------------------------
15.38/2.36	% (20453)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.84/2.37	% (20453)Termination reason: Time limit
15.84/2.37	% (20453)Termination phase: Function definition elimination
15.84/2.37	
15.84/2.37	% (20453)Memory used [KB]: 2430
15.84/2.37	% (20453)Time elapsed: 0.600 s
15.84/2.37	% (20453)------------------------------
15.84/2.37	% (20453)------------------------------
15.84/2.44	% (20484)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
20.47/2.97	% (20482)Refutation not found, incomplete strategy
20.47/2.97	% (20482)------------------------------
20.47/2.97	% (20482)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
20.47/2.98	% (20482)Termination reason: Refutation not found, incomplete strategy
20.47/2.98	
20.47/2.98	% (20482)Memory used [KB]: 16119
20.47/2.98	% (20482)Time elapsed: 0.749 s
20.47/2.98	% (20482)------------------------------
20.47/2.98	% (20482)------------------------------
20.47/3.03	% (20485)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
23.72/3.38	% (20459)Time limit reached!
23.72/3.38	% (20459)------------------------------
23.72/3.38	% (20459)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
23.72/3.38	% (20459)Termination reason: Time limit
23.72/3.38	% (20459)Termination phase: Function definition elimination
23.72/3.38	
23.72/3.38	% (20459)Memory used [KB]: 2430
23.72/3.38	% (20459)Time elapsed: 1.0000 s
23.72/3.38	% (20459)------------------------------
23.72/3.38	% (20459)------------------------------
24.20/3.43	% (20486)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
24.71/3.50	% (20462)Time limit reached!
24.71/3.50	% (20462)------------------------------
24.71/3.50	% (20462)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
24.71/3.50	% (20462)Termination reason: Time limit
24.71/3.50	% (20462)Termination phase: Function definition elimination
24.71/3.50	
24.71/3.50	% (20462)Memory used [KB]: 2430
24.71/3.50	% (20462)Time elapsed: 0.900 s
24.71/3.50	% (20462)------------------------------
24.71/3.50	% (20462)------------------------------
24.71/3.51	% (20484)Time limit reached!
24.71/3.51	% (20484)------------------------------
24.71/3.51	% (20484)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
24.71/3.51	% (20484)Termination reason: Time limit
24.71/3.51	
24.71/3.51	% (20484)Memory used [KB]: 10490
24.71/3.51	% (20484)Time elapsed: 1.118 s
24.71/3.51	% (20484)------------------------------
24.71/3.51	% (20484)------------------------------
24.71/3.56	% (20487)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
25.34/3.56	% (20488)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
25.47/3.59	% (20461)Time limit reached!
25.47/3.59	% (20461)------------------------------
25.47/3.59	% (20461)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
25.47/3.59	% (20461)Termination reason: Time limit
25.47/3.59	
25.47/3.59	% (20461)Memory used [KB]: 29040
25.47/3.59	% (20461)Time elapsed: 3.218 s
25.47/3.59	% (20461)------------------------------
25.47/3.59	% (20461)------------------------------
25.84/3.65	% (20489)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
25.84/3.69	% (20465)Time limit reached!
25.84/3.69	% (20465)------------------------------
25.84/3.69	% (20465)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
25.84/3.69	% (20465)Termination reason: Time limit
25.84/3.69	% (20465)Termination phase: Saturation
25.84/3.69	
25.84/3.69	% (20465)Memory used [KB]: 40425
25.84/3.69	% (20465)Time elapsed: 3.200 s
25.84/3.69	% (20465)------------------------------
25.84/3.69	% (20465)------------------------------
26.37/3.76	% (20490)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
28.52/3.98	% (20463)Time limit reached!
28.52/3.98	% (20463)------------------------------
28.52/3.98	% (20463)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
28.52/3.98	% (20463)Termination reason: Time limit
28.52/3.98	% (20463)Termination phase: Function definition elimination
28.52/3.98	
28.52/3.98	% (20463)Memory used [KB]: 2430
28.52/3.98	% (20463)Time elapsed: 1.100 s
28.52/3.98	% (20463)------------------------------
28.52/3.98	% (20463)------------------------------
28.52/4.01	% (20476)Time limit reached!
28.52/4.01	% (20476)------------------------------
28.52/4.01	% (20476)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
28.52/4.01	% (20476)Termination reason: Time limit
28.52/4.01	
28.52/4.01	% (20476)Memory used [KB]: 17910
28.52/4.01	% (20476)Time elapsed: 2.833 s
28.52/4.01	% (20476)------------------------------
28.52/4.01	% (20476)------------------------------
28.52/4.02	% (20491)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
29.47/4.09	% (20492)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
29.47/4.12	% (20485)Refutation not found, incomplete strategy
29.47/4.12	% (20485)------------------------------
29.47/4.12	% (20485)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
29.47/4.12	% (20485)Termination reason: Refutation not found, incomplete strategy
29.47/4.12	
29.47/4.12	% (20485)Memory used [KB]: 15607
29.47/4.12	% (20485)Time elapsed: 1.084 s
29.47/4.12	% (20485)------------------------------
29.47/4.12	% (20485)------------------------------
30.10/4.19	% (20493)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
30.51/4.23	% (20475)Time limit reached!
30.51/4.23	% (20475)------------------------------
30.51/4.23	% (20475)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
30.51/4.23	% (20475)Termination reason: Time limit
30.51/4.23	% (20475)Termination phase: Saturation
30.51/4.23	
30.51/4.23	% (20475)Memory used [KB]: 8699
30.51/4.23	% (20475)Time elapsed: 3.100 s
30.51/4.23	% (20475)------------------------------
30.51/4.23	% (20475)------------------------------
30.51/4.24	% (20483)Time limit reached!
30.51/4.24	% (20483)------------------------------
30.51/4.24	% (20483)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
30.51/4.24	% (20483)Termination reason: Time limit
30.51/4.24	
30.51/4.24	% (20483)Memory used [KB]: 27376
30.51/4.24	% (20483)Time elapsed: 2.009 s
30.51/4.24	% (20483)------------------------------
30.51/4.24	% (20483)------------------------------
30.80/4.29	% (20457)Time limit reached!
30.80/4.29	% (20457)------------------------------
30.80/4.29	% (20457)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
30.80/4.29	% (20457)Termination reason: Time limit
30.80/4.29	% (20457)Termination phase: Function definition elimination
30.80/4.29	
30.80/4.29	% (20457)Memory used [KB]: 2430
30.80/4.29	% (20457)Time elapsed: 1.100 s
30.80/4.29	% (20457)------------------------------
30.80/4.29	% (20457)------------------------------
30.80/4.31	% (20494)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
30.80/4.32	% (20495)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
31.32/4.37	% (20496)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
32.03/4.45	% (20469)Time limit reached!
32.03/4.45	% (20469)------------------------------
32.03/4.45	% (20469)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
32.03/4.45	% (20469)Termination reason: Time limit
32.03/4.45	% (20469)Termination phase: Function definition elimination
32.03/4.45	
32.03/4.45	% (20469)Memory used [KB]: 2430
32.03/4.45	% (20469)Time elapsed: 1.500 s
32.03/4.45	% (20469)------------------------------
32.03/4.45	% (20469)------------------------------
32.77/4.51	% (20497)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark
32.77/4.53	% (20478)Time limit reached!
32.77/4.53	% (20478)------------------------------
32.77/4.53	% (20478)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
32.77/4.53	% (20478)Termination reason: Time limit
32.77/4.53	% (20478)Termination phase: Saturation
32.77/4.53	
32.77/4.53	% (20478)Memory used [KB]: 19701
32.77/4.53	% (20478)Time elapsed: 2.900 s
32.77/4.53	% (20478)------------------------------
32.77/4.53	% (20478)------------------------------
33.26/4.58	% (20498)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
33.51/4.61	% (20454)Time limit reached!
33.51/4.61	% (20454)------------------------------
33.51/4.61	% (20454)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
33.51/4.61	% (20454)Termination reason: Time limit
33.51/4.61	
33.51/4.61	% (20454)Memory used [KB]: 29679
33.51/4.61	% (20454)Time elapsed: 4.239 s
33.51/4.61	% (20454)------------------------------
33.51/4.61	% (20454)------------------------------
34.45/4.71	% (20499)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark
37.56/5.14	% (20449)Time limit reached!
37.56/5.14	% (20449)------------------------------
37.56/5.14	% (20449)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
37.56/5.14	% (20449)Termination reason: Time limit
37.56/5.14	% (20449)Termination phase: Function definition elimination
37.56/5.14	
37.56/5.14	% (20449)Memory used [KB]: 2430
37.56/5.14	% (20449)Time elapsed: 1.600 s
37.56/5.14	% (20449)------------------------------
37.56/5.14	% (20449)------------------------------
38.30/5.20	% (20500)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0: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_12 on theBenchmark
38.30/5.20	% (20489)Time limit reached!
38.30/5.20	% (20489)------------------------------
38.30/5.20	% (20489)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
38.30/5.20	% (20489)Termination reason: Time limit
38.30/5.20	% (20489)Termination phase: Saturation
38.30/5.20	
38.30/5.20	% (20489)Memory used [KB]: 15991
38.30/5.20	% (20489)Time elapsed: 1.400 s
38.30/5.20	% (20489)------------------------------
38.30/5.20	% (20489)------------------------------
38.53/5.26	% (20501)lrs+1011_8_add=large:csup=on:narr=off: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_10 on theBenchmark
41.94/5.69	% (20448)Time limit reached!
41.94/5.69	% (20448)------------------------------
41.94/5.69	% (20448)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
41.94/5.71	% (20448)Termination reason: Time limit
41.94/5.71	% (20448)Termination phase: Function definition elimination
41.94/5.71	
41.94/5.71	% (20448)Memory used [KB]: 2430
41.94/5.71	% (20448)Time elapsed: 1.500 s
41.94/5.71	% (20448)------------------------------
41.94/5.71	% (20448)------------------------------
42.61/5.73	% (20467)Time limit reached!
42.61/5.73	% (20467)------------------------------
42.61/5.73	% (20467)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
42.61/5.73	% (20467)Termination reason: Time limit
42.61/5.73	
42.61/5.73	% (20467)Memory used [KB]: 35308
42.61/5.73	% (20467)Time elapsed: 5.332 s
42.61/5.73	% (20467)------------------------------
42.61/5.73	% (20467)------------------------------
42.61/5.77	% (20502)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark
43.07/5.83	% (20503)lrs+1011_8_add=large:csup=on:piset=all: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_31 on theBenchmark
44.25/5.96	% (20501)Refutation not found, incomplete strategy
44.25/5.96	% (20501)------------------------------
44.25/5.96	% (20501)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
44.25/5.96	% (20501)Termination reason: Refutation not found, incomplete strategy
44.25/5.96	
44.25/5.96	% (20501)Memory used [KB]: 13560
44.25/5.96	% (20501)Time elapsed: 0.716 s
44.25/5.96	% (20501)------------------------------
44.25/5.96	% (20501)------------------------------
44.25/6.00	% (20504)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark
45.25/6.10	% (20487)Time limit reached!
45.25/6.10	% (20487)------------------------------
45.25/6.10	% (20487)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
45.25/6.10	% (20487)Termination reason: Time limit
45.25/6.10	% (20487)Termination phase: Function definition elimination
45.25/6.10	
45.25/6.10	% (20487)Memory used [KB]: 2430
45.25/6.10	% (20487)Time elapsed: 0.800 s
45.25/6.10	% (20487)------------------------------
45.25/6.10	% (20487)------------------------------
45.73/6.18	% (20505)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark
47.41/6.35	% (20494)Time limit reached!
47.41/6.35	% (20494)------------------------------
47.41/6.35	% (20494)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
47.61/6.36	% (20494)Termination reason: Time limit
47.61/6.36	% (20494)Termination phase: Saturation
47.61/6.36	
47.61/6.36	% (20494)Memory used [KB]: 17910
47.61/6.36	% (20494)Time elapsed: 2.100 s
47.61/6.36	% (20494)------------------------------
47.61/6.36	% (20494)------------------------------
48.17/6.45	% (20506)lrs-11_4:1_afp=0:narr=sk:prag=on: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
49.26/6.60	% (20500)Time limit reached!
49.26/6.60	% (20500)------------------------------
49.26/6.60	% (20500)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
49.26/6.60	% (20500)Termination reason: Time limit
49.26/6.60	
49.26/6.60	% (20500)Memory used [KB]: 19573
49.26/6.60	% (20500)Time elapsed: 1.435 s
49.26/6.60	% (20500)------------------------------
49.26/6.60	% (20500)------------------------------
49.93/6.67	% (20507)dis+1002_6_add=large:csup=on:narr=sk:prag=on:mXXn=4:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_22 on theBenchmark
51.69/6.91	% (20505)Time limit reached!
51.69/6.91	% (20505)------------------------------
51.69/6.91	% (20505)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
51.69/6.93	% (20505)Termination reason: Time limit
51.69/6.93	
51.69/6.93	% (20505)Memory used [KB]: 6908
51.69/6.93	% (20505)Time elapsed: 0.810 s
51.69/6.93	% (20505)------------------------------
51.69/6.93	% (20505)------------------------------
52.49/6.98	% (20508)lrs-11_4:1_afp=0:fe=axiom:narr=sk:prag=on: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
52.89/7.05	% (20495)Time limit reached!
52.89/7.05	% (20495)------------------------------
52.89/7.05	% (20495)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
52.89/7.05	% (20495)Termination reason: Time limit
52.89/7.05	% (20495)Termination phase: Function definition elimination
52.89/7.05	
52.89/7.05	% (20495)Memory used [KB]: 2430
52.89/7.05	% (20495)Time elapsed: 0.800 s
52.89/7.05	% (20495)------------------------------
52.89/7.05	% (20495)------------------------------
53.64/7.13	% (20509)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_300 on theBenchmark
63.12/8.33	% (20502)Time limit reached!
63.12/8.33	% (20502)------------------------------
63.12/8.33	% (20502)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
63.12/8.33	% (20502)Termination reason: Time limit
63.12/8.33	% (20502)Termination phase: Function definition elimination
63.12/8.33	
63.12/8.33	% (20502)Memory used [KB]: 2430
63.12/8.33	% (20502)Time elapsed: 1.200 s
63.12/8.33	% (20502)------------------------------
63.12/8.33	% (20502)------------------------------
63.57/8.39	% (20510)lrs+1011_10_aac=none:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark
67.89/8.93	% (20451)Time limit reached!
67.89/8.93	% (20451)------------------------------
67.89/8.93	% (20451)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
67.89/8.93	% (20451)Termination reason: Time limit
67.89/8.93	% (20451)Termination phase: Property scanning
67.89/8.93	
67.89/8.93	% (20451)Memory used [KB]: 2558
67.89/8.93	% (20451)Time elapsed: 3.400 s
67.89/8.93	% (20451)------------------------------
67.89/8.93	% (20451)------------------------------
67.89/8.93	% (20493)Time limit reached!
67.89/8.93	% (20493)------------------------------
67.89/8.93	% (20493)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
67.89/8.93	% (20493)Termination reason: Time limit
67.89/8.93	
67.89/8.93	% (20493)Memory used [KB]: 49380
67.89/8.93	% (20493)Time elapsed: 4.756 s
67.89/8.93	% (20493)------------------------------
67.89/8.93	% (20493)------------------------------
67.89/8.99	% (20511)lrs+10_1:1_av=off:bsr=on:csup=on:fe=axiom:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_67 on theBenchmark
67.89/9.00	% (20499)Time limit reached!
67.89/9.00	% (20499)------------------------------
67.89/9.00	% (20499)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
67.89/9.00	% (20499)Termination reason: Time limit
67.89/9.00	% (20499)Termination phase: Function definition elimination
67.89/9.00	
67.89/9.00	% (20499)Memory used [KB]: 2430
67.89/9.00	% (20499)Time elapsed: 1.700 s
67.89/9.00	% (20499)------------------------------
67.89/9.00	% (20499)------------------------------
68.69/9.03	% (20512)ott+11_2:1_add=large:narr=ski:prag=on:mXXn=4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0: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
68.69/9.07	% (20513)ott+1002_8:1_add=off:csup=on:fe=axiom: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_15 on theBenchmark
69.31/9.12	% (20503)Time limit reached!
69.31/9.12	% (20503)------------------------------
69.31/9.12	% (20503)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
69.31/9.12	% (20503)Termination reason: Time limit
69.31/9.12	
69.31/9.12	% (20503)Memory used [KB]: 19445
69.31/9.12	% (20503)Time elapsed: 3.342 s
69.31/9.12	% (20503)------------------------------
69.31/9.12	% (20503)------------------------------
69.31/9.18	% (20514)dis+1011_10_add=large:csup=on:narr=off: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_20 on theBenchmark
69.93/9.27	% (20498)Time limit reached!
69.93/9.27	% (20498)------------------------------
69.93/9.27	% (20498)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
69.93/9.27	% (20498)Termination reason: Time limit
69.93/9.27	% (20498)Termination phase: Function definition elimination
69.93/9.27	
69.93/9.27	% (20498)Memory used [KB]: 2430
69.93/9.27	% (20498)Time elapsed: 1.500 s
69.93/9.27	% (20498)------------------------------
69.93/9.27	% (20498)------------------------------
70.74/9.32	% Exception at run slice level
70.74/9.32	User error: bad test id rs-11_4:1_afp=0:fe=axiom:narr=off: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
71.28/9.39	% (20516)lrs+1011_5_add=large:csup=on:fe=axiom:ntd=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0: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_40 on theBenchmark
77.22/10.09	% (20512)Time limit reached!
77.22/10.09	% (20512)------------------------------
77.22/10.09	% (20512)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
77.22/10.10	% (20512)Termination reason: Time limit
77.22/10.10	% (20512)Termination phase: Saturation
77.22/10.10	
77.22/10.10	% (20512)Memory used [KB]: 10490
77.22/10.10	% (20512)Time elapsed: 1.100 s
77.22/10.10	% (20512)------------------------------
77.22/10.10	% (20512)------------------------------
77.72/10.17	% (20517)lrs+1002_1_av=off:csup=on:e2e=on:cs=on:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_150 on theBenchmark
78.20/10.22	% (20516)Refutation not found, incomplete strategy
78.20/10.22	% (20516)------------------------------
78.20/10.22	% (20516)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
78.20/10.22	% (20516)Termination reason: Refutation not found, incomplete strategy
78.20/10.22	
78.20/10.22	% (20516)Memory used [KB]: 9722
78.20/10.22	% (20516)Time elapsed: 0.900 s
78.20/10.22	% (20516)------------------------------
78.20/10.22	% (20516)------------------------------
78.63/10.32	% (20518)ott+2_1:1_csup=on:afp=0:fe=axiom:narr=off:prag=on:cs=on_50 on theBenchmark
83.04/10.85	% (20452)Time limit reached!
83.04/10.85	% (20452)------------------------------
83.04/10.85	% (20452)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
83.04/10.85	% (20452)Termination reason: Time limit
83.04/10.85	% (20452)Termination phase: Property scanning
83.04/10.85	
83.04/10.85	% (20452)Memory used [KB]: 2558
83.04/10.85	% (20452)Time elapsed: 3.100 s
83.04/10.85	% (20452)------------------------------
83.04/10.85	% (20452)------------------------------
83.82/10.91	% (20519)lrs+1011_2:1_av=off:fe=axiom:narr=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_100 on theBenchmark
86.35/11.30	% (20492)Time limit reached!
86.35/11.30	% (20492)------------------------------
86.35/11.30	% (20492)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
86.35/11.31	% (20492)Termination reason: Time limit
86.35/11.31	
86.35/11.31	% (20492)Memory used [KB]: 44007
86.35/11.31	% (20492)Time elapsed: 7.241 s
86.35/11.31	% (20492)------------------------------
86.35/11.31	% (20492)------------------------------
87.30/11.39	% (20520)lrs+1011_2:1_av=off:piset=small_set: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_200 on theBenchmark
97.52/12.71	% (20464)Time limit reached!
97.52/12.71	% (20464)------------------------------
97.52/12.71	% (20464)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
97.52/12.71	% (20464)Termination reason: Time limit
97.52/12.71	% (20464)Termination phase: Property scanning
97.52/12.71	
97.52/12.71	% (20464)Memory used [KB]: 2558
97.52/12.71	% (20464)Time elapsed: 4.300 s
97.52/12.71	% (20464)------------------------------
97.52/12.71	% (20464)------------------------------
98.24/12.79	% (20521)lrs+1011_2:1_av=off:irw=off:csup=on:e2e=on:cs=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_30 on theBenchmark
105.22/13.63	% (20468)Time limit reached!
105.22/13.63	% (20468)------------------------------
105.22/13.63	% (20468)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
105.22/13.63	% (20468)Termination reason: Time limit
105.22/13.63	% (20468)Termination phase: Saturation
105.22/13.63	
105.22/13.63	% (20468)Memory used [KB]: 22387
105.22/13.63	% (20468)Time elapsed: 13.200 s
105.22/13.63	% (20468)------------------------------
105.22/13.63	% (20468)------------------------------
105.72/13.70	% (20522)dis+1011_10_add=large:csup=on:fe=axiom:narr=off:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:afp=0:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_20 on theBenchmark
108.03/13.99	% (20507)Time limit reached!
108.03/13.99	% (20507)------------------------------
108.03/13.99	% (20507)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
108.03/13.99	% (20507)Termination reason: Time limit
108.03/13.99	% (20507)Termination phase: Function definition elimination
108.03/13.99	
108.03/13.99	% (20507)Memory used [KB]: 2558
108.03/13.99	% (20507)Time elapsed: 2.400 s
108.03/13.99	% (20507)------------------------------
108.03/13.99	% (20507)------------------------------
108.62/14.06	% (20523)dis+1002_4_add=large:afp=40000:afq=1.5:csup=on:e2e=on:cs=on: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_44 on theBenchmark
110.03/14.28	% (20514)Time limit reached!
110.03/14.28	% (20514)------------------------------
110.03/14.28	% (20514)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
110.03/14.28	% (20514)Termination reason: Time limit
110.03/14.28	% (20514)Termination phase: Function definition elimination
110.03/14.28	
110.03/14.28	% (20514)Memory used [KB]: 2430
110.03/14.28	% (20514)Time elapsed: 2.200 s
110.03/14.28	% (20514)------------------------------
110.03/14.28	% (20514)------------------------------
110.60/14.33	% (20524)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:csup=on:e2e=on:cs=on:anc=none:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_43 on theBenchmark
115.36/14.90	% (20513)Time limit reached!
115.36/14.90	% (20513)------------------------------
115.36/14.90	% (20513)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
115.36/14.90	% (20513)Termination reason: Time limit
115.36/14.90	% (20513)Termination phase: Function definition elimination
115.36/14.90	
115.36/14.90	% (20513)Memory used [KB]: 2430
115.36/14.90	% (20513)Time elapsed: 1.700 s
115.36/14.90	% (20513)------------------------------
115.36/14.90	% (20513)------------------------------
115.81/14.96	% (20525)lrs+4_3_av=off:bd=preordered:bs=unit_only:cond=fast:csup=on:e2e=on:cs=on:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_100 on theBenchmark
131.38/16.95	% (20473)Time limit reached!
131.38/16.95	% (20473)------------------------------
131.38/16.95	% (20473)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
131.38/16.95	% (20473)Termination reason: Time limit
131.38/16.95	% (20473)Termination phase: Saturation
131.38/16.95	
131.38/16.95	% (20473)Memory used [KB]: 9594
131.38/16.95	% (20473)Time elapsed: 5.200 s
131.38/16.95	% (20473)------------------------------
131.38/16.95	% (20473)------------------------------
132.04/17.02	% (20526)lrs-3_4:1_afp=1000:afq=1.4:csup=on:e2e=on:cs=on: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
135.00/17.44	% (20481)Time limit reached!
135.00/17.44	% (20481)------------------------------
135.00/17.44	% (20481)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
135.00/17.44	% (20481)Termination reason: Time limit
135.00/17.44	% (20481)Termination phase: Saturation
135.00/17.44	
135.00/17.44	% (20481)Memory used [KB]: 40425
135.00/17.44	% (20481)Time elapsed: 12.800 s
135.00/17.44	% (20481)------------------------------
135.00/17.44	% (20481)------------------------------
136.11/17.50	% (20527)ott+2_1:1_csup=on:prag=on:cs=on:inj=on:mXXn=1_170 on theBenchmark
142.11/18.33	% (20510)Time limit reached!
142.11/18.33	% (20510)------------------------------
142.11/18.33	% (20510)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
142.85/18.36	% (20510)Termination reason: Time limit
142.85/18.36	% (20510)Termination phase: Property scanning
142.85/18.36	
142.85/18.36	% (20510)Memory used [KB]: 2558
142.85/18.36	% (20510)Time elapsed: 4.0000 s
142.85/18.36	% (20510)------------------------------
142.85/18.36	% (20510)------------------------------
143.25/18.40	% (20528)dis-11_3_add=off:afp=0:fe=axiom: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
144.27/18.53	% (20526)Time limit reached!
144.27/18.53	% (20526)------------------------------
144.27/18.53	% (20526)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
144.27/18.53	% (20526)Termination reason: Time limit
144.27/18.53	
144.27/18.53	% (20526)Memory used [KB]: 27121
144.27/18.53	% (20526)Time elapsed: 1.547 s
144.27/18.53	% (20526)------------------------------
144.27/18.53	% (20526)------------------------------
144.50/18.57	% (20529)lrs+1011_5:1_acc=on:fe=axiom:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:afp=0: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
145.48/18.73	% (20523)Time limit reached!
145.48/18.73	% (20523)------------------------------
145.48/18.73	% (20523)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
145.48/18.73	% (20523)Termination reason: Time limit
145.48/18.73	
145.48/18.73	% (20523)Memory used [KB]: 27632
145.48/18.73	% (20523)Time elapsed: 4.706 s
145.48/18.73	% (20523)------------------------------
145.48/18.73	% (20523)------------------------------
146.17/18.82	% (20530)ott+1002_2_av=off:bd=preordered:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_20 on theBenchmark
157.08/20.19	% (20522)Time limit reached!
157.08/20.19	% (20522)------------------------------
157.08/20.19	% (20522)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
157.08/20.19	% (20522)Termination reason: Time limit
157.08/20.19	% (20522)Termination phase: Function definition elimination
157.08/20.19	
157.08/20.19	% (20522)Memory used [KB]: 2430
157.08/20.19	% (20522)Time elapsed: 2.200 s
157.08/20.19	% (20522)------------------------------
157.08/20.19	% (20522)------------------------------
157.67/20.24	% (20531)lrs-11_4:1_afp=4000:narr=off: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
171.48/21.97	% (20529)Time limit reached!
171.48/21.97	% (20529)------------------------------
171.48/21.97	% (20529)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
171.48/21.98	% (20529)Termination reason: Time limit
171.48/21.98	% (20529)Termination phase: Saturation
171.48/21.98	
171.48/21.98	% (20529)Memory used [KB]: 43751
171.48/21.98	% (20529)Time elapsed: 3.200 s
171.48/21.98	% (20529)------------------------------
171.48/21.98	% (20529)------------------------------
171.93/22.04	% (20532)lrs+1011_2:1_av=off:irw=off:ntd=on:csup=on:e2e=on:cs=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_30 on theBenchmark
183.28/23.48	% (20531)Time limit reached!
183.28/23.48	% (20531)------------------------------
183.28/23.48	% (20531)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
183.87/23.49	% (20531)Termination reason: Time limit
183.87/23.49	
183.87/23.49	% (20531)Memory used [KB]: 48997
183.87/23.49	% (20531)Time elapsed: 3.270 s
183.87/23.49	% (20531)------------------------------
183.87/23.49	% (20531)------------------------------
183.87/23.55	% (20533)lrs+1010_3:2_afr=on:csup=on:ntd=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
184.80/23.64	% (20521)Time limit reached!
184.80/23.64	% (20521)------------------------------
184.80/23.64	% (20521)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
184.80/23.65	% (20521)Termination reason: Time limit
184.80/23.65	% (20521)Termination phase: Saturation
184.80/23.65	
184.80/23.65	% (20521)Memory used [KB]: 2942
184.80/23.65	% (20521)Time elapsed: 3.200 s
184.80/23.65	% (20521)------------------------------
184.80/23.65	% (20521)------------------------------
184.80/23.69	% (20534)lrs+1_8:1_av=off:fe=axiom:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_300 on theBenchmark
193.26/24.40	% (20474)Time limit reached!
193.26/24.40	% (20474)------------------------------
193.26/24.40	% (20474)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
193.64/24.42	% (20474)Termination reason: Time limit
193.64/24.42	% (20474)Termination phase: Property scanning
193.64/24.42	
193.64/24.42	% (20474)Memory used [KB]: 2558
193.64/24.42	% (20474)Time elapsed: 7.700 s
193.64/24.42	% (20474)------------------------------
193.64/24.42	% (20474)------------------------------
193.87/24.46	% (20535)ott+2_1:1_csup=on:narr=off:prag=on:cs=on_110 on theBenchmark
199.36/25.19	% (20525)Time limit reached!
199.36/25.19	% (20525)------------------------------
199.36/25.19	% (20525)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
199.36/25.20	% (20525)Termination reason: Time limit
199.36/25.20	
199.36/25.20	% (20525)Memory used [KB]: 46822
199.36/25.20	% (20525)Time elapsed: 10.233 s
199.36/25.20	% (20525)------------------------------
199.36/25.20	% (20525)------------------------------
200.08/25.28	% (20555)lrs+1011_2:1_av=off:narr=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_200 on theBenchmark
200.59/25.29	% (20517)Time limit reached!
200.59/25.29	% (20517)------------------------------
200.59/25.29	% (20517)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
200.59/25.30	% (20517)Termination reason: Time limit
200.59/25.30	% (20517)Termination phase: Saturation
200.59/25.30	
200.59/25.30	% (20517)Memory used [KB]: 36204
200.59/25.30	% (20517)Time elapsed: 15.200 s
200.59/25.30	% (20517)------------------------------
200.59/25.30	% (20517)------------------------------
200.59/25.36	% (20556)lrs+1011_5_add=large:csup=on:ntd=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
201.96/25.51	% (20518)Time limit reached!
201.96/25.51	% (20518)------------------------------
201.96/25.51	% (20518)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
201.96/25.51	% (20518)Termination reason: Time limit
201.96/25.51	% (20518)Termination phase: Property scanning
201.96/25.51	
201.96/25.51	% (20518)Memory used [KB]: 2558
201.96/25.51	% (20518)Time elapsed: 5.200 s
201.96/25.51	% (20518)------------------------------
201.96/25.51	% (20518)------------------------------
202.66/25.56	% (20562)lrs+1011_5_add=large:csup=on:fe=axiom: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
204.30/25.78	% (20488)Time limit reached!
204.30/25.78	% (20488)------------------------------
204.30/25.78	% (20488)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
204.30/25.79	% (20488)Termination reason: Time limit
204.30/25.79	% (20488)Termination phase: Property scanning
204.30/25.79	
204.30/25.79	% (20488)Memory used [KB]: 2558
204.30/25.79	% (20488)Time elapsed: 7.500 s
204.30/25.79	% (20488)------------------------------
204.30/25.79	% (20488)------------------------------
204.30/25.84	% (20563)lrs+1011_8_add=large:csup=on:fe=axiom: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
208.26/26.34	% (20530)Time limit reached!
208.26/26.34	% (20530)------------------------------
208.26/26.34	% (20530)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
209.01/26.34	% (20530)Termination reason: Time limit
209.01/26.34	% (20530)Termination phase: Function definition elimination
209.01/26.34	
209.01/26.34	% (20530)Memory used [KB]: 2430
209.01/26.34	% (20530)Time elapsed: 2.200 s
209.01/26.34	% (20530)------------------------------
209.01/26.34	% (20530)------------------------------
209.39/26.40	% (20562)Refutation not found, incomplete strategy
209.39/26.40	% (20562)------------------------------
209.39/26.40	% (20562)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
209.39/26.40	% (20562)Termination reason: Refutation not found, incomplete strategy
209.39/26.40	
209.39/26.40	% (20562)Memory used [KB]: 9722
209.39/26.40	% (20562)Time elapsed: 0.894 s
209.39/26.40	% (20562)------------------------------
209.39/26.40	% (20562)------------------------------
209.39/26.41	% (20564)lrs+1011_8_add=large:csup=on:fe=axiom:piset=all: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_31 on theBenchmark
209.82/26.50	% (20565)ott+2_1:1_csup=on:fe=axiom:ntd=on:narr=off:prag=on:cs=on_600 on theBenchmark
212.63/26.81	% (20480)Time limit reached!
212.63/26.81	% (20480)------------------------------
212.63/26.81	% (20480)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
212.63/26.82	% (20480)Termination reason: Time limit
212.63/26.82	% (20480)Termination phase: Property scanning
212.63/26.82	
212.63/26.82	% (20480)Memory used [KB]: 2558
212.63/26.82	% (20480)Time elapsed: 7.900 s
212.63/26.82	% (20480)------------------------------
212.63/26.82	% (20480)------------------------------
212.63/26.83	% (20563)Refutation not found, incomplete strategy
212.63/26.83	% (20563)------------------------------
212.63/26.83	% (20563)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
212.63/26.86	% (20563)Termination reason: Refutation not found, incomplete strategy
212.63/26.86	
212.63/26.86	% (20563)Memory used [KB]: 14711
212.63/26.86	% (20563)Time elapsed: 1.041 s
212.63/26.86	% (20563)------------------------------
212.63/26.86	% (20563)------------------------------
212.63/26.88	% (20566)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_650 on theBenchmark
213.28/26.91	% (20567)dis-11_3_add=off:afp=0:fe=axiom:mXXn=2: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_600 on theBenchmark
215.28/27.21	% (20564)Refutation not found, incomplete strategy
215.28/27.21	% (20564)------------------------------
215.28/27.21	% (20564)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
215.28/27.21	% (20564)Termination reason: Refutation not found, incomplete strategy
215.28/27.21	
215.28/27.21	% (20564)Memory used [KB]: 13560
215.28/27.21	% (20564)Time elapsed: 0.857 s
215.28/27.21	% (20564)------------------------------
215.28/27.21	% (20564)------------------------------
216.43/27.29	% (20568)lrs+4_3_av=off:bd=preordered:fe=axiom:narr=off:csup=on:ntd=on:inj=on:chr=on:foolp=on:cnfonf=lazy_simp: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_600 on theBenchmark
228.41/28.84	% (20524)Time limit reached!
228.41/28.84	% (20524)------------------------------
228.41/28.84	% (20524)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
228.41/28.84	% (20524)Termination reason: Time limit
228.41/28.84	% (20524)Termination phase: Property scanning
228.41/28.84	
228.41/28.84	% (20524)Memory used [KB]: 2558
228.41/28.84	% (20524)Time elapsed: 4.500 s
228.41/28.84	% (20524)------------------------------
228.41/28.84	% (20524)------------------------------
231.32/29.21	% (20496)Time limit reached!
231.32/29.21	% (20496)------------------------------
231.32/29.21	% (20496)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
231.32/29.22	% (20496)Termination reason: Time limit
231.32/29.22	% (20496)Termination phase: Property scanning
231.32/29.22	
231.32/29.22	% (20496)Memory used [KB]: 2558
231.32/29.22	% (20496)Time elapsed: 7.500 s
231.32/29.22	% (20496)------------------------------
231.32/29.22	% (20496)------------------------------
245.39/30.96	% (20470)Refutation not found, non-redundant clauses discarded
245.39/30.96	% (20470)------------------------------
245.39/30.96	% (20470)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
245.39/30.96	% (20470)Termination reason: Refutation not found, non-redundant clauses discarded
245.39/30.96	
245.39/30.96	% (20470)Memory used [KB]: 61022
245.39/30.96	% (20470)Time elapsed: 30.149 s
245.39/30.96	% (20470)------------------------------
245.39/30.96	% (20470)------------------------------
248.52/31.36	% (20497)Time limit reached!
248.52/31.36	% (20497)------------------------------
248.52/31.36	% (20497)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
248.52/31.37	% (20497)Termination reason: Time limit
248.52/31.37	% (20497)Termination phase: Property scanning
248.52/31.37	
248.52/31.37	% (20497)Memory used [KB]: 2558
248.52/31.37	% (20497)Time elapsed: 9.300 s
248.52/31.37	% (20497)------------------------------
248.52/31.37	% (20497)------------------------------
252.18/31.78	% (20528)Time limit reached!
252.18/31.78	% (20528)------------------------------
252.18/31.78	% (20528)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
252.18/31.78	% (20528)Termination reason: Time limit
252.18/31.78	% (20528)Termination phase: Saturation
252.18/31.78	
252.18/31.78	% (20528)Memory used [KB]: 9978
252.18/31.78	% (20528)Time elapsed: 5.200 s
252.18/31.78	% (20528)------------------------------
252.18/31.78	% (20528)------------------------------
253.32/31.93	% (20472)Time limit reached!
253.32/31.93	% (20472)------------------------------
253.32/31.93	% (20472)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
253.32/31.93	% (20472)Termination reason: Time limit
253.32/31.93	% (20472)Termination phase: Saturation
253.32/31.93	
253.32/31.93	% (20472)Memory used [KB]: 38890
253.32/31.93	% (20472)Time elapsed: 30.200 s
253.32/31.93	% (20472)------------------------------
253.32/31.93	% (20472)------------------------------
255.98/32.28	% (20511)Time limit reached!
255.98/32.28	% (20511)------------------------------
255.98/32.28	% (20511)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
255.98/32.30	% (20511)Termination reason: Time limit
255.98/32.30	% (20511)Termination phase: Property scanning
255.98/32.30	
255.98/32.30	% (20511)Memory used [KB]: 2558
255.98/32.30	% (20511)Time elapsed: 6.900 s
255.98/32.30	% (20511)------------------------------
255.98/32.30	% (20511)------------------------------
257.47/32.44	% (20532)Time limit reached!
257.47/32.44	% (20532)------------------------------
257.47/32.44	% (20532)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
257.47/32.44	% (20532)Termination reason: Time limit
257.47/32.44	% (20532)Termination phase: Saturation
257.47/32.44	
257.47/32.44	% (20532)Memory used [KB]: 2686
257.47/32.44	% (20532)Time elapsed: 3.200 s
257.47/32.44	% (20532)------------------------------
257.47/32.44	% (20532)------------------------------
271.04/34.16	% (20491)Refutation not found, non-redundant clauses discarded
271.04/34.16	% (20491)------------------------------
271.04/34.16	% (20491)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
271.04/34.16	% (20491)Termination reason: Refutation not found, non-redundant clauses discarded
271.04/34.16	
271.04/34.16	% (20491)Memory used [KB]: 52707
271.04/34.16	% (20491)Time elapsed: 30.115 s
271.04/34.16	% (20491)------------------------------
271.04/34.16	% (20491)------------------------------
306.50/38.60	% (20556)Time limit reached!
306.50/38.60	% (20556)------------------------------
306.50/38.60	% (20556)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
306.50/38.60	% (20556)Termination reason: Time limit
306.50/38.60	% (20556)Termination phase: Saturation
306.50/38.60	
306.50/38.60	% (20556)Memory used [KB]: 26865
306.50/38.60	% (20556)Time elapsed: 13.200 s
306.50/38.60	% (20556)------------------------------
306.50/38.60	% (20556)------------------------------
307.54/38.78	% (20479)Time limit reached!
307.54/38.78	% (20479)------------------------------
307.54/38.78	% (20479)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
307.54/38.79	% (20479)Termination reason: Time limit
307.54/38.79	% (20479)Termination phase: Property scanning
307.54/38.79	
307.54/38.79	% (20479)Memory used [KB]: 2558
307.54/38.79	% (20479)Time elapsed: 12.700 s
307.54/38.79	% (20479)------------------------------
307.54/38.79	% (20479)------------------------------
334.35/42.17	% (20519)Time limit reached!
334.35/42.17	% (20519)------------------------------
334.35/42.17	% (20519)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
334.92/42.18	% (20519)Termination reason: Time limit
334.92/42.18	% (20519)Termination phase: Saturation
334.92/42.18	
334.92/42.18	% (20519)Memory used [KB]: 4221
334.92/42.18	% (20519)Time elapsed: 10.200 s
334.92/42.18	% (20519)------------------------------
334.92/42.18	% (20519)------------------------------
371.94/46.85	% (20527)Time limit reached!
371.94/46.85	% (20527)------------------------------
371.94/46.85	% (20527)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
371.94/46.85	% (20527)Termination reason: Time limit
371.94/46.85	% (20527)Termination phase: Property scanning
371.94/46.85	
371.94/46.85	% (20527)Memory used [KB]: 2558
371.94/46.85	% (20527)Time elapsed: 17.200 s
371.94/46.85	% (20527)------------------------------
371.94/46.85	% (20527)------------------------------
372.47/46.97	% (20471)Time limit reached!
372.47/46.97	% (20471)------------------------------
372.47/46.97	% (20471)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
373.17/46.98	% (20471)Termination reason: Time limit
373.17/46.98	% (20471)Termination phase: Property scanning
373.17/46.98	
373.17/46.98	% (20471)Memory used [KB]: 2558
373.17/46.98	% (20471)Time elapsed: 18.800 s
373.17/46.98	% (20471)------------------------------
373.17/46.98	% (20471)------------------------------
374.17/47.16	% (20486)Time limit reached!
374.17/47.16	% (20486)------------------------------
374.17/47.16	% (20486)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
374.17/47.16	% (20486)Termination reason: Time limit
374.17/47.16	
374.17/47.16	% (20486)Memory used [KB]: 224644
374.17/47.16	% (20486)Time elapsed: 43.762 s
374.17/47.16	% (20486)------------------------------
374.17/47.16	% (20486)------------------------------
394.74/49.70	% (20520)Time limit reached!
394.74/49.70	% (20520)------------------------------
394.74/49.70	% (20520)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
394.74/49.70	% (20520)Termination reason: Time limit
394.74/49.70	
394.74/49.70	% (20520)Memory used [KB]: 224644
394.74/49.70	% (20520)Time elapsed: 38.368 s
394.74/49.70	% (20520)------------------------------
394.74/49.70	% (20520)------------------------------
400.18/50.41	% (20535)Time limit reached!
400.18/50.41	% (20535)------------------------------
400.18/50.41	% (20535)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
400.18/50.41	% (20535)Termination reason: Time limit
400.18/50.41	% (20535)Termination phase: Property scanning
400.18/50.41	
400.18/50.41	% (20535)Memory used [KB]: 2558
400.18/50.41	% (20535)Time elapsed: 11.200 s
400.18/50.41	% (20535)------------------------------
400.18/50.41	% (20535)------------------------------
412.89/52.01	% (20490)Time limit reached!
412.89/52.01	% (20490)------------------------------
412.89/52.01	% (20490)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
412.89/52.01	% (20490)Termination reason: Time limit
412.89/52.01	% (20490)Termination phase: Saturation
412.89/52.01	
412.89/52.01	% (20490)Memory used [KB]: 112322
412.89/52.01	% (20490)Time elapsed: 48.300 s
412.89/52.01	% (20490)------------------------------
412.89/52.01	% (20490)------------------------------
419.11/52.80	% (20508)Time limit reached!
419.11/52.80	% (20508)------------------------------
419.11/52.80	% (20508)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
419.11/52.80	% (20508)Termination reason: Time limit
419.11/52.80	% (20508)Termination phase: Property scanning
419.11/52.80	
419.11/52.80	% (20508)Memory used [KB]: 2558
419.11/52.80	% (20508)Time elapsed: 18.800 s
419.11/52.80	% (20508)------------------------------
419.11/52.80	% (20508)------------------------------
420.06/52.92	% (20506)Time limit reached!
420.06/52.92	% (20506)------------------------------
420.06/52.92	% (20506)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
420.06/52.92	% (20506)Termination reason: Time limit
420.06/52.92	% (20506)Termination phase: Property scanning
420.06/52.92	
420.06/52.92	% (20506)Memory used [KB]: 2558
420.06/52.92	% (20506)Time elapsed: 18.800 s
420.06/52.92	% (20506)------------------------------
420.06/52.92	% (20506)------------------------------
420.06/52.94	% (20567)Refutation found. Thanks to Tanya!
420.06/52.94	% SZS status Theorem for theBenchmark
420.06/52.94	% SZS output start Proof for theBenchmark
420.06/52.94	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
420.06/52.94	tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o').
420.06/52.94	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
420.65/52.94	tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_8, type, in: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_11, type, union: '$i' -> '$i').
420.65/52.94	tff(func_def_12, type, power: '$i' -> '$i').
420.65/52.94	tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i').
420.65/52.94	tff(func_def_14, type, d_Union_closed: '$i' -> '$o').
420.65/52.94	tff(func_def_15, type, d_Power_closed: '$i' -> '$o').
420.65/52.94	tff(func_def_16, type, d_Repl_closed: '$i' -> '$o').
420.65/52.94	tff(func_def_17, type, d_ZF_closed: '$i' -> '$o').
420.65/52.94	tff(func_def_18, type, univof: '$i' -> '$i').
420.65/52.94	tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_22, type, d_Sing: '$i' -> '$i').
420.65/52.94	tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i').
420.65/52.94	tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i').
420.65/52.94	tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i').
420.65/52.94	tff(func_def_30, type, ordsucc: '$i' -> '$i').
420.65/52.94	tff(func_def_31, type, nat_p: '$i' -> '$o').
420.65/52.94	tff(func_def_33, type, d_Inj1: '$i' -> '$i').
420.65/52.94	tff(func_def_34, type, d_Inj0: '$i' -> '$i').
420.65/52.94	tff(func_def_35, type, d_Unj: '$i' -> '$i').
420.65/52.94	tff(func_def_36, type, pair: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_37, type, proj0: '$i' -> '$i').
420.65/52.94	tff(func_def_38, type, proj1: '$i' -> '$i').
420.65/52.94	tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i').
420.65/52.94	tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_41, type, ap: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_42, type, pair_p: '$i' -> '$o').
420.65/52.94	tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i').
420.65/52.94	tff(func_def_44, type, imp: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_45, type, d_not: '$o' -> '$o').
420.65/52.94	tff(func_def_46, type, wel: '$o' -> '$o').
420.65/52.94	tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_51, type, orec: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o').
420.65/52.94	tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_86, type, empty: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o').
420.65/52.94	tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i').
420.65/52.94	tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_108, type, nis: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o').
420.65/52.94	tff(func_def_114, type, cond1: '$i' -> '$o').
420.65/52.94	tff(func_def_115, type, cond2: '$i' -> '$o').
420.65/52.94	tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_117, type, d_22_prop1: '$i' -> '$o').
420.65/52.94	tff(func_def_118, type, d_23_prop1: '$i' -> '$o').
420.65/52.94	tff(func_def_119, type, d_24_prop1: '$i' -> '$o').
420.65/52.94	tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_122, type, prop4: '$i' -> '$o').
420.65/52.94	tff(func_def_123, type, d_24_g: '$i' -> '$i').
420.65/52.94	tff(func_def_124, type, plus: '$i' -> '$i').
420.65/52.94	tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_132, type, iii: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_136, type, lbprop: ('$i' -> '$o') -> '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_137, type, n_lb: ('$i' -> '$o') -> '$i' -> '$o').
420.65/52.94	tff(func_def_138, type, min: ('$i' -> '$o') -> '$i' -> '$o').
420.65/52.94	tff(func_def_139, type, d_428_prop1: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_140, type, d_428_prop2: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_141, type, d_428_prop4: '$i' -> '$o').
420.65/52.94	tff(func_def_143, type, d_428_g: '$i' -> '$i').
420.65/52.94	tff(func_def_144, type, times: '$i' -> '$i').
420.65/52.94	tff(func_def_145, type, n_ts: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_146, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
420.65/52.94	tff(func_def_147, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
420.65/52.94	tff(func_def_148, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
420.65/52.94	tff(func_def_151, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
420.65/52.94	tff(func_def_152, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
420.65/52.94	tff(func_def_153, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
420.65/52.94	tff(func_def_154, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
420.65/52.94	tff(func_def_155, type, vIMP: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_156, type, vAND: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_157, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
420.65/52.94	tff(func_def_158, type, vNOT: '$o' -> '$o').
420.65/52.94	tff(func_def_159, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
420.65/52.94	tff(func_def_160, type, vOR: '$o' -> '$o' -> '$o').
420.65/52.94	tff(func_def_161, type, diff: !>[X0: $ttype, X1: $ttype]:(X0 -> X1) -> (X0 -> X1) -> X0).
420.65/52.94	tff(func_def_162, type, sK0: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_163, type, sK1: '$i' -> '$i').
420.65/52.94	tff(func_def_164, type, sK2: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_165, type, sK3: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_166, type, sK4: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i').
420.65/52.94	tff(func_def_167, type, sK5: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i').
420.65/52.94	tff(func_def_168, type, sK6: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_169, type, sK7: '$i' -> ('$i' -> '$i') -> '$i' -> '$i').
420.65/52.94	tff(func_def_171, type, sK9: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_172, type, sK10: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_173, type, sK11: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_174, type, sK12: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_175, type, sK13: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_176, type, sK14: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_177, type, sK15: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_178, type, sK16: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_179, type, sK17: '$i' -> '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_180, type, sK18: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_181, type, sK19: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_182, type, sK20: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_183, type, sK21: '$i' -> '$i' -> '$o').
420.65/52.94	tff(func_def_184, type, sK22: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_185, type, sK23: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_186, type, sK24: '$i' -> '$i' -> '$i').
420.65/52.94	tff(func_def_191, type, sK29: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(func_def_193, type, sK31: ('$i' -> '$o') -> '$i').
420.65/52.94	tff(f1,axiom,(
420.65/52.94	  is_of = (^[X0 : '$i', X1 : '$i' -> '$o'] : X1 @ X0)),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)).
420.65/52.94	tff(f2,axiom,(
420.65/52.94	  all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
420.65/52.94	tff(f8,axiom,(
420.65/52.94	  if = (^[X0 : '$o', X1 : '$i', X2 : '$i'] : eps @ (^[X3 : '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_if)).
420.65/52.94	tff(f14,axiom,(
420.65/52.94	  d_Sep = (^[X0 : '$i', X1 : '$i' -> '$o'] : if @ ? [X2] : (X1 @ X2 & in @ X2 @ X0) @ (repl @ X0 @ (^[X2 : '$i'] : if @ (X1 @ X2) @ X2 @ (eps @ (^[X3 : '$i'] : X1 @ X3 & in @ X3 @ X0)))) @ emptyset)),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_Sep)).
420.65/52.94	tff(f20,axiom,(
420.65/52.94	  nat_p = (^[X0 : '$i'] : ! [X1 : '$i' -> '$o'] : (X1 @ emptyset => (! [X2] : (X1 @ X2 => X1 @ (ordsucc @ X2)) => X1 @ X0)))),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nat_p)).
420.65/52.94	tff(f21,axiom,(
420.65/52.94	  d_Sep @ (univof @ emptyset) @ nat_p = omega),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_omega)).
420.65/52.94	tff(f49,axiom,(
420.65/52.94	  e_is = (^[X0 : '$i', X7 : '$i', X8 : '$i'] : X7 = X8)),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_e_is)).
420.65/52.94	tff(f95,axiom,(
420.65/52.94	  nat = d_Sep @ omega @ (^[X0 : '$i'] : emptyset != X0)),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nat)).
420.65/52.94	tff(f96,axiom,(
420.65/52.94	  e_is @ nat = n_is),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)).
420.65/52.94	tff(f102,axiom,(
420.65/52.94	  ordsucc @ emptyset = n_1),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1)).
420.65/52.94	tff(f215,axiom,(
420.65/52.94	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : n_is @ (n_ts @ n_1 @ X0) @ X0)),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28c)).
420.65/52.94	tff(f278,conjecture,(
420.65/52.94	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : n_is @ X0 @ (n_ts @ n_1 @ X0))),
420.65/52.94	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz28g)).
420.65/52.94	tff(f279,negated_conjecture,(
420.65/52.94	  ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : n_is @ X0 @ (n_ts @ n_1 @ X0))),
420.65/52.94	  inference(negated_conjecture,[],[f278])).
420.65/52.94	tff(f299,plain,(
420.65/52.94	  ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : n_is @ X1 @ (n_ts @ n_1 @ X1))),
420.65/52.94	  inference(rectify,[],[f279])).
420.65/52.94	tff(f300,plain,(
420.65/52.94	  ~(all_of @ (cCOMB @ in @ nat) @ (sCOMB @ n_is @ (n_ts @ n_1)) = $true)),
420.65/52.94	  inference(fool_elimination,[],[f299])).
420.65/52.95	tff(f410,plain,(
420.65/52.95	  nat_p = (^[X0 : '$i'] : ! [X1 : '$i' -> '$o'] : (X1 @ emptyset => (! [X2] : (X1 @ X2 => X1 @ (ordsucc @ X2)) => X1 @ X0)))),
420.65/52.95	  inference(rectify,[],[f20])).
420.65/52.95	tff(f411,plain,(
420.65/52.95	  bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))) = nat_p),
420.65/52.95	  inference(fool_elimination,[],[f410])).
420.65/52.95	tff(f424,plain,(
420.65/52.95	  is_of = cCOMB @ iCOMB),
420.65/52.95	  inference(fool_elimination,[],[f1])).
420.65/52.95	tff(f428,plain,(
420.65/52.95	  e_is = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : X1 = X2)),
420.65/52.95	  inference(rectify,[],[f49])).
420.65/52.95	tff(f429,plain,(
420.65/52.95	  kCOMB @ vEQ('$i') = e_is),
420.65/52.95	  inference(fool_elimination,[],[f428])).
420.65/52.95	tff(f431,plain,(
420.65/52.95	  if = (^[X0 : '$o', X1 : '$i', X2 : '$i'] : eps @ (^[X3 : '$i'] : (X2 = X3 & ~X0) | (X1 = X3 & X0)))),
420.65/52.95	  inference(rectify,[],[f8])).
420.65/52.95	tff(f432,plain,(
420.65/52.95	  bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))) = if),
420.65/52.95	  inference(fool_elimination,[],[f431])).
420.65/52.95	tff(f433,plain,(
420.65/52.95	  d_Sep = (^[X0 : '$i', X1 : '$i' -> '$o'] : if @ ? [X2] : (X1 @ X2 & in @ X2 @ X0) @ (repl @ X0 @ (^[X3 : '$i'] : if @ (X1 @ X3) @ X3 @ (eps @ (^[X4 : '$i'] : X1 @ X4 & in @ X4 @ X0)))) @ emptyset)),
420.65/52.95	  inference(rectify,[],[f14])).
420.65/52.95	tff(f434,plain,(
420.65/52.95	  cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ if) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ if)) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset = d_Sep),
420.65/52.95	  inference(fool_elimination,[],[f433])).
420.65/52.95	tff(f443,plain,(
420.65/52.95	  all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))),
420.65/52.95	  inference(rectify,[],[f2])).
420.65/52.95	tff(f444,plain,(
420.65/52.95	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of),
420.65/52.95	  inference(fool_elimination,[],[f443])).
420.65/52.95	tff(f445,plain,(
420.65/52.95	  d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)) = nat),
420.65/52.95	  inference(fool_elimination,[],[f95])).
420.65/52.95	tff(f582,plain,(
420.65/52.95	  all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : n_is @ (n_ts @ n_1 @ X1) @ X1)),
420.65/52.95	  inference(rectify,[],[f215])).
420.65/52.95	tff(f583,plain,(
420.65/52.95	  (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ n_is @ (n_ts @ n_1)) @ iCOMB) = $true)),
420.65/52.95	  inference(fool_elimination,[],[f582])).
420.65/52.95	tff(f761,plain,(
420.65/52.95	  (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ n_is @ (n_ts @ n_1)) != $true)),
420.65/52.95	  inference(flattening,[],[f300])).
420.65/52.95	tff(f824,plain,(
420.65/52.95	  (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ n_is @ (n_ts @ n_1)) != $true)),
420.65/52.95	  inference(cnf_transformation,[],[f761])).
420.65/52.95	tff(f842,plain,(
420.65/52.95	  ordsucc @ emptyset = n_1),
420.65/52.95	  inference(cnf_transformation,[],[f102])).
420.65/52.95	tff(f847,plain,(
420.65/52.95	  (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ n_is @ (n_ts @ n_1)) @ iCOMB) = $true)),
420.65/52.95	  inference(cnf_transformation,[],[f583])).
420.65/52.95	tff(f865,plain,(
420.65/52.95	  e_is @ nat = n_is),
420.65/52.95	  inference(cnf_transformation,[],[f96])).
420.65/52.95	tff(f932,plain,(
420.65/52.95	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of),
420.65/52.95	  inference(cnf_transformation,[],[f444])).
420.65/52.95	tff(f933,plain,(
420.65/52.95	  is_of = cCOMB @ iCOMB),
420.65/52.95	  inference(cnf_transformation,[],[f424])).
420.65/52.95	tff(f943,plain,(
420.65/52.95	  bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))) = nat_p),
420.65/52.95	  inference(cnf_transformation,[],[f411])).
420.65/52.95	tff(f947,plain,(
420.65/52.95	  kCOMB @ vEQ('$i') = e_is),
420.65/52.95	  inference(cnf_transformation,[],[f429])).
420.65/52.95	tff(f987,plain,(
420.65/52.95	  d_Sep @ (univof @ emptyset) @ nat_p = omega),
420.65/52.95	  inference(cnf_transformation,[],[f21])).
420.65/52.95	tff(f996,plain,(
420.65/52.95	  cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ if) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ if)) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset = d_Sep),
420.65/52.95	  inference(cnf_transformation,[],[f434])).
420.65/52.95	tff(f1004,plain,(
420.65/52.95	  d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)) = nat),
420.65/52.95	  inference(cnf_transformation,[],[f445])).
420.65/52.95	tff(f1052,plain,(
420.65/52.95	  bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))) = if),
420.65/52.95	  inference(cnf_transformation,[],[f432])).
420.65/52.95	tff(f1058,plain,(
420.65/52.95	  cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset = d_Sep),
420.65/52.95	  inference(definition_unfolding,[],[f996,f1052,f1052])).
420.65/52.95	tff(f1059,plain,(
420.65/52.95	  cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))) = omega),
420.65/52.95	  inference(definition_unfolding,[],[f987,f1058,f943])).
420.65/52.95	tff(f1060,plain,(
420.65/52.95	  cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)) = nat),
420.65/52.95	  inference(definition_unfolding,[],[f1004,f1058,f1059])).
420.65/52.95	tff(f1061,plain,(
420.65/52.95	  kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = n_is),
420.65/52.95	  inference(definition_unfolding,[],[f865,f947,f1060])).
420.65/52.95	tff(f1066,plain,(
420.65/52.95	  bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) = all_of),
420.65/52.95	  inference(definition_unfolding,[],[f932,f933])).
420.65/52.96	tff(f1099,plain,(
420.65/52.96	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) != $true)),
420.65/52.96	  inference(definition_unfolding,[],[f824,f1066,f1060,f1061,f842])).
420.65/52.96	tff(f1119,plain,(
420.65/52.96	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (bCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) @ iCOMB) = $true)),
420.65/52.96	  inference(definition_unfolding,[],[f847,f1066,f1060,f1061,f842])).
420.65/52.96	tff(f1406,plain,(
420.65/52.96	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (bCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) @ iCOMB) = $true)),
420.65/52.96	  inference(combinator_normalisation,[],[f1119])).
420.65/52.97	tff(f1407,plain,(
420.65/52.97	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (bCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) @ iCOMB) = $true)),
420.65/52.97	  inference(combinator_normalisation,[],[f1406])).
420.86/52.97	tff(f1408,plain,(
420.86/52.97	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (n_ts @ (ordsucc @ emptyset))) @ iCOMB)) = $true)),
420.86/52.97	  inference(combinator_demodulation,[],[f1407])).
420.86/52.97	tff(f1409,plain,(
420.86/52.97	  ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (n_ts @ (ordsucc @ emptyset))) @ iCOMB) @ X1 = $true)) )),
420.86/52.97	  inference(pi_clausification,[],[f1408])).
420.86/52.98	tff(f1410,plain,(
420.86/52.98	  ( ! [X1] : ((vIMP @ (in @ X1 @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (n_ts @ (ordsucc @ emptyset) @ X1) @ X1) = $true)) )),
420.86/52.98	  inference(combinator_demodulation,[],[f1409])).
420.86/52.98	tff(f1411,plain,(
420.86/52.98	  ( ! [X1] : ((in @ X1 @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))) = $false) | (vEQ('$i') @ (n_ts @ (ordsucc @ emptyset) @ X1) @ X1 = $true)) )),
420.86/52.98	  inference(binary_proxy_clausification,[],[f1410])).
420.86/52.99	tff(f1412,plain,(
420.86/52.99	  ( ! [X1] : ((in @ X1 @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))) = $false) | n_ts @ (ordsucc @ emptyset) @ X1 = X1) )),
420.86/52.99	  inference(equality_proxy_clausification,[],[f1411])).
420.86/52.99	tff(f2588,plain,(
420.86/52.99	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) != $true)),
420.86/52.99	  inference(combinator_normalisation,[],[f1099])).
420.86/52.99	tff(f2589,plain,(
420.86/52.99	  (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (sCOMB @ (kCOMB @ vEQ('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (cCOMB @ (bCOMB @ cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i'))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))) @ (sCOMB @ (bCOMB @ bCOMB @ repl) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))))) @ iCOMB))) @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in)))))))) @ emptyset @ (univof @ emptyset) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_ts @ (ordsucc @ emptyset))) != $true)),
420.86/52.99	  inference(combinator_normalisation,[],[f2588])).
420.86/53.00	tff(f2590,plain,(
420.86/53.00	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))))) @ (sCOMB @ vEQ('$i') @ (n_ts @ (ordsucc @ emptyset)))) != $true)),
420.86/53.00	  inference(combinator_demodulation,[],[f2589])).
420.86/53.00	tff(f2591,plain,(
420.86/53.00	  (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))))) @ (sCOMB @ vEQ('$i') @ (n_ts @ (ordsucc @ emptyset))) @ sK25 = $false)),
420.86/53.00	  inference(sigma_clausification,[],[f2590])).
420.86/53.00	tff(f2592,plain,(
420.86/53.00	  (vIMP @ (in @ sK25 @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ sK25 @ (n_ts @ (ordsucc @ emptyset) @ sK25)) = $false)),
420.86/53.00	  inference(combinator_demodulation,[],[f2591])).
420.86/53.01	tff(f2593,plain,(
420.86/53.01	  (in @ sK25 @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (vEQ('$i') @ (repl @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (eps @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ (vAND @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))) @ (vEQ('$i') @ (repl @ (univof @ emptyset) @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ eps)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vAND)) @ vEQ('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vAND @ vNOT))) @ vEQ('$i')))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))) @ iCOMB) @ (eps @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB))))))))))) @ (bCOMB @ (vAND @ (vNOT @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ in @ (univof @ emptyset))) @ (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ emptyset))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ ordsucc))))) @ (cCOMB @ iCOMB)))))))) @ (vEQ('$i') @ emptyset)))))) @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (vEQ('$i') @ emptyset)))) = $true)),
420.86/53.01	  inference(binary_proxy_clausification,[],[f2592])).
420.86/53.01	tff(f2594,plain,(
420.86/53.01	  (vEQ('$i') @ sK25 @ (n_ts @ (ordsucc @ emptyset) @ sK25) = $false)),
420.86/53.01	  inference(binary_proxy_clausification,[],[f2592])).
420.86/53.01	tff(f2595,plain,(
420.86/53.01	  n_ts @ (ordsucc @ emptyset) @ sK25 != sK25),
420.86/53.01	  inference(equality_proxy_clausification,[],[f2594])).
420.86/53.01	tff(f2621,plain,(
420.86/53.01	  ($false = $true) | n_ts @ (ordsucc @ emptyset) @ sK25 = sK25),
420.86/53.01	  inference(superposition,[],[f2593,f1412])).
420.86/53.01	tff(f2799,plain,(
420.86/53.01	  n_ts @ (ordsucc @ emptyset) @ sK25 = sK25),
420.86/53.01	  inference(trivial_inequality_removal,[],[f2621])).
420.86/53.01	tff(f2854,plain,(
420.86/53.01	  $false),
420.86/53.01	  inference(subsumption_resolution,[],[f2799,f2595])).
420.86/53.01	% SZS output end Proof for theBenchmark
420.86/53.01	% (20567)------------------------------
420.86/53.01	% (20567)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
420.86/53.01	% (20567)Termination reason: Refutation
420.86/53.01	
420.86/53.01	% (20567)Memory used [KB]: 30703
420.86/53.01	% (20567)Time elapsed: 26.127 s
420.86/53.01	% (20567)------------------------------
420.86/53.01	% (20567)------------------------------
420.86/53.01	% (20443)Success in time 52.677 s
420.86/53.04	EOF
