0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d 0.13/0.33 % Computer : n022.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 09:01:48 EDT 2020 0.13/0.34 % CPUTime : 0.13/0.40 % (26375)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 0.13/0.40 % (26369)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 0.13/0.40 % (26392)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 0.13/0.40 % (26391)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 0.13/0.41 % (26372)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 0.13/0.41 % (26370)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 0.13/0.41 % (26371)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 0.13/0.41 % (26373)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 0.13/0.41 % (26384)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 0.13/0.41 % (26398)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 0.13/0.41 % (26374)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 0.13/0.41 % (26378)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 0.13/0.41 % (26379)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 0.13/0.41 % (26380)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 0.13/0.41 % (26381)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 0.19/0.41 % (26383)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 % (26393)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 % (26376)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 0.19/0.42 % (26385)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 % (26396)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 0.19/0.42 % (26390)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 0.19/0.42 % (26394)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 0.19/0.42 % (26395)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 0.19/0.42 % (26397)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 0.19/0.43 % (26387)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 0.19/0.43 % (26389)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 0.19/0.43 % (26388)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 0.19/0.43 % (26386)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 0.19/0.43 % (26382)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.19/0.45 % (26377)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 5.09/1.02 % (26383)Time limit reached! 5.09/1.02 % (26383)------------------------------ 5.09/1.02 % (26383)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.09/1.02 % (26383)Termination reason: Time limit 5.09/1.02 5.09/1.02 % (26383)Memory used [KB]: 8187 5.09/1.02 % (26383)Time elapsed: 0.647 s 5.09/1.02 % (26383)------------------------------ 5.09/1.02 % (26383)------------------------------ 5.36/1.08 % (26399)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 6.72/1.28 % (26375)Time limit reached! 6.72/1.28 % (26375)------------------------------ 6.72/1.28 % (26375)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.72/1.28 % (26375)Termination reason: Time limit 6.72/1.28 6.72/1.28 % (26375)Memory used [KB]: 19701 6.72/1.28 % (26375)Time elapsed: 0.898 s 6.72/1.28 % (26375)------------------------------ 6.72/1.28 % (26375)------------------------------ 7.25/1.31 % (26371)Time limit reached! 7.25/1.31 % (26371)------------------------------ 7.25/1.31 % (26371)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.25/1.31 % (26371)Termination reason: Time limit 7.25/1.31 7.25/1.31 % (26371)Memory used [KB]: 12665 7.25/1.31 % (26371)Time elapsed: 0.935 s 7.25/1.31 % (26371)------------------------------ 7.25/1.31 % (26371)------------------------------ 7.25/1.31 % (26372)Time limit reached! 7.25/1.31 % (26372)------------------------------ 7.25/1.31 % (26372)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.25/1.33 % (26372)Termination reason: Time limit 7.25/1.33 7.25/1.33 % (26372)Memory used [KB]: 14967 7.25/1.33 % (26372)Time elapsed: 0.938 s 7.25/1.33 % (26372)------------------------------ 7.25/1.33 % (26372)------------------------------ 7.25/1.36 % (26400)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 7.88/1.38 % (26401)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 7.98/1.39 % (26402)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 8.37/1.50 % (26391)Time limit reached! 8.37/1.50 % (26391)------------------------------ 8.37/1.50 % (26391)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.94/1.52 % (26391)Termination reason: Time limit 8.94/1.52 8.94/1.52 % (26391)Memory used [KB]: 3965 8.94/1.52 % (26391)Time elapsed: 1.128 s 8.94/1.52 % (26391)------------------------------ 8.94/1.52 % (26391)------------------------------ 8.94/1.57 % (26403)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 10.99/1.80 % (26380)Time limit reached! 10.99/1.80 % (26380)------------------------------ 10.99/1.80 % (26380)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.99/1.80 % (26380)Termination reason: Time limit 10.99/1.80 % (26380)Termination phase: Property scanning 10.99/1.80 10.99/1.80 % (26380)Memory used [KB]: 2558 10.99/1.80 % (26380)Time elapsed: 0.500 s 10.99/1.80 % (26380)------------------------------ 10.99/1.80 % (26380)------------------------------ 11.96/1.90 % (26404)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 12.55/1.98 % (26370)Time limit reached! 12.55/1.98 % (26370)------------------------------ 12.55/1.98 % (26370)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.55/1.98 % (26370)Termination reason: Time limit 12.55/1.98 % (26370)Termination phase: Function definition elimination 12.55/1.98 12.55/1.98 % (26370)Memory used [KB]: 2430 12.55/1.98 % (26370)Time elapsed: 0.500 s 12.55/1.98 % (26370)------------------------------ 12.55/1.98 % (26370)------------------------------ 13.00/2.02 % (26405)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 13.28/2.07 % (26381)Time limit reached! 13.28/2.07 % (26381)------------------------------ 13.28/2.07 % (26381)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.28/2.07 % (26381)Termination reason: Time limit 13.28/2.07 % (26381)Termination phase: Function definition elimination 13.28/2.07 13.28/2.07 % (26381)Memory used [KB]: 2430 13.28/2.07 % (26381)Time elapsed: 0.500 s 13.28/2.07 % (26381)------------------------------ 13.28/2.07 % (26381)------------------------------ 13.28/2.14 % (26402)Refutation not found, incomplete strategy 13.28/2.14 % (26402)------------------------------ 13.28/2.14 % (26402)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.88/2.14 % (26406)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 13.88/2.15 % (26402)Termination reason: Refutation not found, incomplete strategy 13.88/2.15 13.88/2.15 % (26402)Memory used [KB]: 13432 13.88/2.15 % (26402)Time elapsed: 0.767 s 13.88/2.15 % (26402)------------------------------ 13.88/2.15 % (26402)------------------------------ 14.21/2.20 % (26407)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 14.21/2.22 % (26369)Time limit reached! 14.21/2.22 % (26369)------------------------------ 14.21/2.22 % (26369)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.21/2.22 % (26369)Termination reason: Time limit 14.21/2.22 % (26369)Termination phase: Function definition elimination 14.21/2.22 14.21/2.22 % (26369)Memory used [KB]: 2430 14.21/2.22 % (26369)Time elapsed: 0.500 s 14.21/2.22 % (26369)------------------------------ 14.21/2.22 % (26369)------------------------------ 14.21/2.24 % (26378)Time limit reached! 14.21/2.24 % (26378)------------------------------ 14.21/2.24 % (26378)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.59/2.25 % (26378)Termination reason: Time limit 14.59/2.25 % (26378)Termination phase: Function definition elimination 14.59/2.25 14.59/2.25 % (26378)Memory used [KB]: 2430 14.59/2.25 % (26378)Time elapsed: 0.600 s 14.59/2.25 % (26378)------------------------------ 14.59/2.25 % (26378)------------------------------ 14.59/2.29 % (26408)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 15.12/2.31 % (26409)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 19.55/2.86 % (26384)Time limit reached! 19.55/2.86 % (26384)------------------------------ 19.55/2.86 % (26384)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 19.55/2.86 % (26384)Termination reason: Time limit 19.55/2.86 % (26384)Termination phase: Function definition elimination 19.55/2.86 19.55/2.86 % (26384)Memory used [KB]: 2430 19.55/2.86 % (26384)Time elapsed: 1.0000 s 19.55/2.86 % (26384)------------------------------ 19.55/2.86 % (26384)------------------------------ 19.55/2.92 % (26410)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 23.23/3.39 % (26409)Time limit reached! 23.23/3.39 % (26409)------------------------------ 23.23/3.39 % (26409)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.23/3.39 % (26409)Termination reason: Time limit 23.23/3.39 23.23/3.39 % (26409)Memory used [KB]: 10106 23.23/3.39 % (26409)Time elapsed: 1.110 s 23.23/3.39 % (26409)------------------------------ 23.23/3.39 % (26409)------------------------------ 24.04/3.47 % (26411)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 24.04/3.49 % (26388)Time limit reached! 24.04/3.49 % (26388)------------------------------ 24.04/3.49 % (26388)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.04/3.49 % (26388)Termination reason: Time limit 24.04/3.49 % (26388)Termination phase: Function definition elimination 24.04/3.49 24.04/3.49 % (26388)Memory used [KB]: 2430 24.04/3.49 % (26388)Time elapsed: 1.100 s 24.04/3.49 % (26388)------------------------------ 24.04/3.49 % (26388)------------------------------ 24.82/3.55 % (26387)Time limit reached! 24.82/3.55 % (26387)------------------------------ 24.82/3.55 % (26387)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.82/3.55 % (26387)Termination reason: Time limit 24.82/3.55 % (26387)Termination phase: Function definition elimination 24.82/3.55 24.82/3.55 % (26387)Memory used [KB]: 2430 24.82/3.55 % (26387)Time elapsed: 0.900 s 24.82/3.55 % (26387)------------------------------ 24.82/3.55 % (26387)------------------------------ 24.82/3.56 % (26412)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 25.56/3.61 % (26390)Time limit reached! 25.56/3.61 % (26390)------------------------------ 25.56/3.61 % (26390)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.56/3.61 % (26390)Termination reason: Time limit 25.56/3.61 25.56/3.61 % (26390)Memory used [KB]: 39914 25.56/3.61 % (26390)Time elapsed: 3.225 s 25.56/3.61 % (26390)------------------------------ 25.56/3.61 % (26390)------------------------------ 25.56/3.63 % (26413)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 25.56/3.65 % (26386)Time limit reached! 25.56/3.65 % (26386)------------------------------ 25.56/3.65 % (26386)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.56/3.65 % (26386)Termination reason: Time limit 25.56/3.65 % (26386)Termination phase: Saturation 25.56/3.65 25.56/3.65 % (26386)Memory used [KB]: 28400 25.56/3.65 % (26386)Time elapsed: 3.200 s 25.56/3.65 % (26386)------------------------------ 25.56/3.65 % (26386)------------------------------ 25.56/3.72 % (26414)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 26.72/3.77 % (26415)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 28.34/3.97 % (26410)Refutation not found, incomplete strategy 28.34/3.97 % (26410)------------------------------ 28.34/3.97 % (26410)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 28.34/3.99 % (26410)Termination reason: Refutation not found, incomplete strategy 28.34/3.99 28.34/3.99 % (26410)Memory used [KB]: 15223 28.34/3.99 % (26410)Time elapsed: 1.067 s 28.34/3.99 % (26410)------------------------------ 28.34/3.99 % (26410)------------------------------ 28.78/4.05 % (26416)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 29.25/4.06 % (26408)Time limit reached! 29.25/4.06 % (26408)------------------------------ 29.25/4.06 % (26408)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.25/4.06 % (26408)Termination reason: Time limit 29.25/4.06 % (26408)Termination phase: Saturation 29.25/4.06 29.25/4.06 % (26408)Memory used [KB]: 21748 29.25/4.06 % (26408)Time elapsed: 1.300 s 29.25/4.06 % (26408)------------------------------ 29.25/4.06 % (26408)------------------------------ 29.89/4.15 % (26417)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 29.89/4.22 % (26401)Time limit reached! 29.89/4.22 % (26401)------------------------------ 29.89/4.22 % (26401)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.89/4.22 % (26401)Termination reason: Time limit 29.89/4.22 % (26401)Termination phase: Saturation 29.89/4.22 29.89/4.22 % (26401)Memory used [KB]: 15607 29.89/4.22 % (26401)Time elapsed: 2.800 s 29.89/4.22 % (26401)------------------------------ 29.89/4.22 % (26401)------------------------------ 31.08/4.30 % (26418)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 31.08/4.31 % (26382)Time limit reached! 31.08/4.31 % (26382)------------------------------ 31.08/4.31 % (26382)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.08/4.31 % (26382)Termination reason: Time limit 31.08/4.31 % (26382)Termination phase: Function definition elimination 31.08/4.31 31.08/4.31 % (26382)Memory used [KB]: 2430 31.08/4.31 % (26382)Time elapsed: 1.100 s 31.08/4.31 % (26382)------------------------------ 31.08/4.31 % (26382)------------------------------ 31.77/4.37 % (26419)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 32.46/4.47 % (26400)Time limit reached! 32.46/4.47 % (26400)------------------------------ 32.46/4.47 % (26400)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.46/4.47 % (26400)Termination reason: Time limit 32.46/4.47 32.46/4.47 % (26400)Memory used [KB]: 7547 32.46/4.47 % (26400)Time elapsed: 3.162 s 32.46/4.47 % (26400)------------------------------ 32.46/4.47 % (26400)------------------------------ 32.46/4.50 % (26403)Time limit reached! 32.46/4.50 % (26403)------------------------------ 32.46/4.50 % (26403)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.46/4.50 % (26403)Termination reason: Time limit 32.46/4.50 % (26403)Termination phase: Saturation 32.46/4.50 32.46/4.50 % (26403)Memory used [KB]: 18677 32.46/4.50 % (26403)Time elapsed: 2.900 s 32.46/4.50 % (26403)------------------------------ 32.46/4.50 % (26403)------------------------------ 32.46/4.53 % (26420)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 33.12/4.55 % (26421)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 34.01/4.68 % (26379)Time limit reached! 34.01/4.68 % (26379)------------------------------ 34.01/4.68 % (26379)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.01/4.69 % (26379)Termination reason: Time limit 34.01/4.69 34.01/4.69 % (26379)Memory used [KB]: 32110 34.01/4.69 % (26379)Time elapsed: 4.311 s 34.01/4.69 % (26379)------------------------------ 34.01/4.69 % (26379)------------------------------ 34.41/4.75 % (26422)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 34.74/4.79 % (26394)Time limit reached! 34.74/4.79 % (26394)------------------------------ 34.74/4.79 % (26394)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 34.74/4.79 % (26394)Termination reason: Time limit 34.74/4.79 % (26394)Termination phase: Function definition elimination 34.74/4.79 34.74/4.79 % (26394)Memory used [KB]: 2430 34.74/4.79 % (26394)Time elapsed: 1.500 s 34.74/4.79 % (26394)------------------------------ 34.74/4.79 % (26394)------------------------------ 35.33/4.86 % (26423)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 37.25/5.06 % (26414)Time limit reached! 37.25/5.06 % (26414)------------------------------ 37.25/5.06 % (26414)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 37.25/5.06 % (26414)Termination reason: Time limit 37.25/5.06 % (26414)Termination phase: Saturation 37.25/5.06 37.25/5.06 % (26414)Memory used [KB]: 14967 37.25/5.06 % (26414)Time elapsed: 1.400 s 37.25/5.06 % (26414)------------------------------ 37.25/5.06 % (26414)------------------------------ 37.25/5.14 % (26424)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 39.59/5.39 % (26373)Time limit reached! 39.59/5.39 % (26373)------------------------------ 39.59/5.39 % (26373)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 39.59/5.39 % (26373)Termination reason: Time limit 39.59/5.39 % (26373)Termination phase: Function definition elimination 39.59/5.39 39.59/5.39 % (26373)Memory used [KB]: 2430 39.59/5.39 % (26373)Time elapsed: 1.500 s 39.59/5.39 % (26373)------------------------------ 39.59/5.39 % (26373)------------------------------ 40.29/5.47 % (26374)Time limit reached! 40.29/5.47 % (26374)------------------------------ 40.29/5.47 % (26374)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 40.29/5.47 % (26374)Termination reason: Time limit 40.29/5.47 % (26374)Termination phase: Function definition elimination 40.29/5.47 40.29/5.47 % (26374)Memory used [KB]: 2430 40.29/5.47 % (26374)Time elapsed: 1.600 s 40.29/5.47 % (26374)------------------------------ 40.29/5.47 % (26374)------------------------------ 40.29/5.48 % (26425)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 40.63/5.53 % (26426)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 41.47/5.59 % (26392)Time limit reached! 41.47/5.59 % (26392)------------------------------ 41.47/5.59 % (26392)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.47/5.59 % (26392)Termination reason: Time limit 41.47/5.59 41.47/5.59 % (26392)Memory used [KB]: 31982 41.47/5.59 % (26392)Time elapsed: 5.210 s 41.47/5.59 % (26392)------------------------------ 41.47/5.59 % (26392)------------------------------ 41.98/5.66 % (26427)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 45.35/6.13 % (26412)Time limit reached! 45.35/6.13 % (26412)------------------------------ 45.35/6.13 % (26412)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.35/6.13 % (26412)Termination reason: Time limit 45.35/6.13 % (26412)Termination phase: Function definition elimination 45.35/6.13 45.35/6.13 % (26412)Memory used [KB]: 2430 45.35/6.13 % (26412)Time elapsed: 0.800 s 45.35/6.13 % (26412)------------------------------ 45.35/6.13 % (26412)------------------------------ 46.07/6.21 % (26428)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 46.69/6.28 % (26426)Refutation not found, incomplete strategy 46.69/6.28 % (26426)------------------------------ 46.69/6.28 % (26426)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 46.69/6.28 % (26426)Termination reason: Refutation not found, incomplete strategy 46.69/6.28 46.69/6.28 % (26426)Memory used [KB]: 13432 46.69/6.28 % (26426)Time elapsed: 0.780 s 46.69/6.28 % (26426)------------------------------ 46.69/6.28 % (26426)------------------------------ 47.26/6.36 % (26429)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 47.60/6.43 % (26419)Time limit reached! 47.60/6.43 % (26419)------------------------------ 47.60/6.43 % (26419)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.60/6.45 % (26419)Termination reason: Time limit 47.60/6.45 47.60/6.45 % (26419)Memory used [KB]: 15991 47.60/6.45 % (26419)Time elapsed: 2.110 s 47.60/6.45 % (26419)------------------------------ 47.60/6.45 % (26419)------------------------------ 48.75/6.53 % (26430)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 52.50/6.99 % (26425)Time limit reached! 52.50/6.99 % (26425)------------------------------ 52.50/6.99 % (26425)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 52.50/7.01 % (26425)Termination reason: Time limit 52.50/7.01 52.50/7.01 % (26425)Memory used [KB]: 18293 52.50/7.01 % (26425)Time elapsed: 1.552 s 52.50/7.01 % (26425)------------------------------ 52.50/7.01 % (26425)------------------------------ 52.50/7.01 % (26420)Time limit reached! 52.50/7.01 % (26420)------------------------------ 52.50/7.01 % (26420)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 52.50/7.01 % (26420)Termination reason: Time limit 52.50/7.01 % (26420)Termination phase: Function definition elimination 52.50/7.01 52.50/7.01 % (26420)Memory used [KB]: 2430 52.50/7.01 % (26420)Time elapsed: 0.800 s 52.50/7.01 % (26420)------------------------------ 52.50/7.01 % (26420)------------------------------ 52.50/7.06 % (26432)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 52.50/7.06 % (26431)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 55.05/7.42 % (26407)Time limit reached! 55.05/7.42 % (26407)------------------------------ 55.05/7.42 % (26407)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 55.95/7.42 % (26407)Termination reason: Time limit 55.95/7.42 % (26407)Termination phase: Saturation 55.95/7.42 55.95/7.42 % (26407)Memory used [KB]: 29295 55.95/7.42 % (26407)Time elapsed: 5.200 s 55.95/7.42 % (26407)------------------------------ 55.95/7.42 % (26407)------------------------------ 56.13/7.49 % (26433)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 57.23/7.65 % (26430)Time limit reached! 57.23/7.65 % (26430)------------------------------ 57.23/7.65 % (26430)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 57.23/7.65 % (26430)Termination reason: Time limit 57.23/7.65 57.23/7.65 % (26430)Memory used [KB]: 7419 57.23/7.65 % (26430)Time elapsed: 1.190 s 57.23/7.65 % (26430)------------------------------ 57.23/7.65 % (26430)------------------------------ 58.32/7.73 % (26434)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 65.85/8.66 % (26427)Time limit reached! 65.85/8.66 % (26427)------------------------------ 65.85/8.66 % (26427)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 65.85/8.66 % (26427)Termination reason: Time limit 65.85/8.66 % (26427)Termination phase: Function definition elimination 65.85/8.66 65.85/8.66 % (26427)Memory used [KB]: 2430 65.85/8.66 % (26427)Time elapsed: 1.200 s 65.85/8.66 % (26427)------------------------------ 65.85/8.66 % (26427)------------------------------ 66.15/8.73 % (26435)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 68.52/9.02 % (26418)Time limit reached! 68.52/9.02 % (26418)------------------------------ 68.52/9.02 % (26418)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 68.52/9.02 % (26418)Termination reason: Time limit 68.52/9.02 68.52/9.02 % (26418)Memory used [KB]: 49125 68.52/9.02 % (26418)Time elapsed: 4.729 s 68.52/9.02 % (26418)------------------------------ 68.52/9.02 % (26418)------------------------------ 69.11/9.13 % (26436)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 71.48/9.44 % (26423)Time limit reached! 71.48/9.44 % (26423)------------------------------ 71.48/9.44 % (26423)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 72.01/9.46 % (26428)Time limit reached! 72.01/9.46 % (26428)------------------------------ 72.01/9.46 % (26428)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 72.01/9.46 % (26428)Termination reason: Time limit 72.01/9.46 % (26428)Termination phase: Saturation 72.01/9.46 72.01/9.46 % (26428)Memory used [KB]: 15735 72.01/9.46 % (26428)Time elapsed: 3.300 s 72.01/9.46 % (26428)------------------------------ 72.01/9.46 % (26428)------------------------------ 72.01/9.46 % (26423)Termination reason: Time limit 72.01/9.46 % (26423)Termination phase: Function definition elimination 72.01/9.46 72.01/9.46 % (26423)Memory used [KB]: 2430 72.01/9.46 % (26423)Time elapsed: 1.500 s 72.01/9.46 % (26423)------------------------------ 72.01/9.46 % (26423)------------------------------ 72.17/9.51 % (26437)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 72.57/9.54 % (26438)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 78.16/10.23 % (26377)Time limit reached! 78.16/10.23 % (26377)------------------------------ 78.16/10.23 % (26377)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 78.16/10.23 % (26377)Termination reason: Time limit 78.16/10.23 % (26377)Termination phase: Property scanning 78.16/10.23 78.16/10.23 % (26377)Memory used [KB]: 2430 78.16/10.23 % (26377)Time elapsed: 3.100 s 78.16/10.23 % (26377)------------------------------ 78.16/10.23 % (26377)------------------------------ 78.16/10.31 % (26439)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 79.76/10.46 % (26424)Time limit reached! 79.76/10.46 % (26424)------------------------------ 79.76/10.46 % (26424)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 79.76/10.46 % (26424)Termination reason: Time limit 79.76/10.46 % (26424)Termination phase: Function definition elimination 79.76/10.46 79.76/10.46 % (26424)Memory used [KB]: 2430 79.76/10.46 % (26424)Time elapsed: 1.700 s 79.76/10.46 % (26424)------------------------------ 79.76/10.46 % (26424)------------------------------ 79.76/10.50 % Exception at run slice level 80.54/10.53 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 80.54/10.59 % (26437)Time limit reached! 80.54/10.59 % (26437)------------------------------ 80.54/10.59 % (26437)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 80.54/10.59 % (26437)Termination reason: Time limit 80.54/10.59 80.54/10.59 % (26437)Memory used [KB]: 11257 80.54/10.59 % (26437)Time elapsed: 1.122 s 80.54/10.59 % (26437)------------------------------ 80.54/10.59 % (26437)------------------------------ 81.25/10.60 % (26441)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 81.25/10.65 % (26442)lrs+1002_1_av=off:csup=on:e2e=on:cs=on:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_150 on theBenchmark 82.84/10.84 % (26376)Time limit reached! 82.84/10.84 % (26376)------------------------------ 82.84/10.84 % (26376)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 82.84/10.84 % (26376)Termination reason: Time limit 82.84/10.84 % (26376)Termination phase: Property scanning 82.84/10.84 82.84/10.84 % (26376)Memory used [KB]: 2430 82.84/10.84 % (26376)Time elapsed: 3.400 s 82.84/10.84 % (26376)------------------------------ 82.84/10.84 % (26376)------------------------------ 83.46/10.92 % (26443)ott+2_1:1_csup=on:afp=0:fe=axiom:narr=off:prag=on:cs=on_50 on theBenchmark 86.43/11.26 % (26417)Time limit reached! 86.43/11.26 % (26417)------------------------------ 86.43/11.26 % (26417)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 86.43/11.26 % (26417)Termination reason: Time limit 86.43/11.26 % (26417)Termination phase: Saturation 86.43/11.26 86.43/11.26 % (26417)Memory used [KB]: 53858 86.43/11.26 % (26417)Time elapsed: 7.200 s 86.43/11.26 % (26417)------------------------------ 86.43/11.26 % (26417)------------------------------ 86.70/11.31 % (26444)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 91.80/11.96 % (26389)Time limit reached! 91.80/11.96 % (26389)------------------------------ 91.80/11.96 % (26389)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 91.80/11.96 % (26389)Termination reason: Time limit 91.80/11.96 % (26389)Termination phase: Property scanning 91.80/11.96 91.80/11.96 % (26389)Memory used [KB]: 2430 91.80/11.96 % (26389)Time elapsed: 4.300 s 91.80/11.96 % (26389)------------------------------ 91.80/11.96 % (26389)------------------------------ 92.18/12.03 % (26445)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 94.60/12.28 % (26441)Refutation found. Thanks to Tanya! 94.60/12.28 % SZS status Theorem for theBenchmark 94.60/12.29 % SZS output start Proof for theBenchmark 94.60/12.29 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 94.60/12.29 tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 94.60/12.29 tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i'). 94.60/12.29 tff(func_def_8, type, in: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_11, type, union: '$i' -> '$i'). 94.60/12.29 tff(func_def_12, type, power: '$i' -> '$i'). 94.60/12.29 tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i'). 94.60/12.29 tff(func_def_14, type, d_Union_closed: '$i' -> '$o'). 94.60/12.29 tff(func_def_15, type, d_Power_closed: '$i' -> '$o'). 94.60/12.29 tff(func_def_16, type, d_Repl_closed: '$i' -> '$o'). 94.60/12.29 tff(func_def_17, type, d_ZF_closed: '$i' -> '$o'). 94.60/12.29 tff(func_def_18, type, univof: '$i' -> '$i'). 94.60/12.29 tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_22, type, d_Sing: '$i' -> '$i'). 94.60/12.29 tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i'). 94.60/12.29 tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i'). 94.60/12.29 tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i'). 94.60/12.29 tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_30, type, ordsucc: '$i' -> '$i'). 94.60/12.29 tff(func_def_31, type, nat_p: '$i' -> '$o'). 94.60/12.29 tff(func_def_33, type, d_Inj1: '$i' -> '$i'). 94.60/12.29 tff(func_def_34, type, d_Inj0: '$i' -> '$i'). 94.60/12.29 tff(func_def_35, type, d_Unj: '$i' -> '$i'). 94.60/12.29 tff(func_def_36, type, pair: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_37, type, proj0: '$i' -> '$i'). 94.60/12.29 tff(func_def_38, type, proj1: '$i' -> '$i'). 94.60/12.29 tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i'). 94.60/12.29 tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_41, type, ap: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_42, type, pair_p: '$i' -> '$o'). 94.60/12.29 tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i'). 94.60/12.29 tff(func_def_44, type, imp: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_45, type, d_not: '$o' -> '$o'). 94.60/12.29 tff(func_def_46, type, wel: '$o' -> '$o'). 94.60/12.29 tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_51, type, orec: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o'). 94.60/12.29 tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i'). 94.60/12.29 tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_86, type, empty: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o'). 94.60/12.29 tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 94.60/12.29 tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 94.60/12.29 tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_108, type, nis: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o'). 94.60/12.29 tff(func_def_114, type, cond1: '$i' -> '$o'). 94.60/12.29 tff(func_def_115, type, cond2: '$i' -> '$o'). 94.60/12.29 tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i'). 94.60/12.29 tff(func_def_117, type, d_22_prop1: '$i' -> '$o'). 94.60/12.29 tff(func_def_118, type, d_23_prop1: '$i' -> '$o'). 94.60/12.29 tff(func_def_119, type, d_24_prop1: '$i' -> '$o'). 94.60/12.29 tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_122, type, prop4: '$i' -> '$o'). 94.60/12.29 tff(func_def_123, type, d_24_g: '$i' -> '$i'). 94.60/12.29 tff(func_def_124, type, plus: '$i' -> '$i'). 94.60/12.29 tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i'). 94.60/12.29 tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_132, type, iii: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o'). 94.60/12.29 tff(func_def_136, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 94.60/12.29 tff(func_def_137, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 94.60/12.29 tff(func_def_138, type, vIMP: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_139, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 94.60/12.29 tff(func_def_140, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 94.60/12.29 tff(func_def_143, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 94.60/12.29 tff(func_def_144, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 94.60/12.29 tff(func_def_145, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 94.60/12.29 tff(func_def_146, type, vAND: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_147, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 94.60/12.29 tff(func_def_148, type, vNOT: '$o' -> '$o'). 94.60/12.29 tff(func_def_149, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 94.60/12.29 tff(func_def_150, type, vOR: '$o' -> '$o' -> '$o'). 94.60/12.29 tff(func_def_151, type, diff: !>[X0: $ttype, X1: $ttype]:(X0 -> X1) -> (X0 -> X1) -> X0). 94.60/12.29 tff(func_def_152, type, sK0: ('$i' -> '$o') -> '$i'). 94.60/12.29 tff(f1,axiom,( 94.60/12.29 is_of = (^[X0 : '$i', X1 : '$i' -> '$o'] : X1 @ X0)), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)). 94.60/12.29 tff(f2,axiom,( 94.60/12.29 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)). 94.60/12.29 tff(f102,axiom,( 94.60/12.29 ordsucc @ emptyset = n_1), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1)). 94.60/12.29 tff(f109,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : is_of @ (ordsucc @ X0) @ (^[X1 : '$i'] : in @ X1 @ nat))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',suc_p)). 94.60/12.29 tff(f118,axiom,( 94.60/12.29 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1_p)). 94.60/12.29 tff(f195,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : lessis @ X0 @ X1 => d_not @ (d_29_ii @ X0 @ X1)))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10d)). 94.60/12.29 tff(f197,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : lessis @ X0 @ X1 => moreis @ X1 @ X0))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz14)). 94.60/12.29 tff(f202,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X1 @ X0 => moreis @ X1 @ (ordsucc @ X0)))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz25a)). 94.60/12.29 tff(f205,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : moreis @ X0 @ X1 => d_not @ (iii @ X0 @ X1)))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10c)). 94.60/12.29 tff(f209,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (lessis @ X0 @ X1) => d_29_ii @ X0 @ X1))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10k)). 94.60/12.29 tff(f212,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X0 @ X1 => d_29_ii @ X1 @ X0))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz12)). 94.60/12.29 tff(f213,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : moreis @ X0 @ X1 => lessis @ X1 @ X0))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz13)). 94.60/12.29 tff(f215,conjecture,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X1 @ X0 => lessis @ (ordsucc @ X1) @ X0))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz25c)). 94.60/12.29 tff(f216,negated_conjecture,( 94.60/12.29 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X1 @ X0 => lessis @ (ordsucc @ X1) @ X0))), 94.60/12.29 inference(negated_conjecture,[],[f215])). 94.60/12.29 tff(f227,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (d_29_ii @ X0 @ X1) => lessis @ X0 @ X1))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10e)). 94.60/12.29 tff(f245,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X0 @ X1 => iii @ X1 @ X0))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz11)). 94.60/12.29 tff(f247,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (iii @ X0 @ X1) => moreis @ X0 @ X1))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10f)). 94.60/12.29 tff(f250,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X0 @ X1 => d_not @ (lessis @ X0 @ X1)))), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10g)). 94.60/12.29 tff(f262,axiom,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : d_29_ii @ (ordsucc @ X0) @ n_1)), 94.60/12.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz24b)). 94.60/12.29 tff(f275,plain,( 94.60/12.29 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X3 @ X1 => lessis @ (ordsucc @ X3) @ X1))), 94.60/12.29 inference(rectify,[],[f216])). 94.60/12.29 tff(f276,plain,( 94.60/12.29 ~(all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 94.60/12.29 inference(fool_elimination,[],[f275])). 94.60/12.29 tff(f391,plain,( 94.60/12.29 is_of = cCOMB @ iCOMB), 94.60/12.29 inference(fool_elimination,[],[f1])). 94.60/12.29 tff(f410,plain,( 94.60/12.29 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 94.60/12.29 inference(rectify,[],[f2])). 94.60/12.29 tff(f411,plain,( 94.60/12.29 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 94.60/12.29 inference(fool_elimination,[],[f410])). 94.60/12.29 tff(f524,plain,( 94.60/12.29 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 94.60/12.29 inference(rectify,[],[f118])). 94.60/12.29 tff(f525,plain,( 94.60/12.29 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 94.60/12.29 inference(fool_elimination,[],[f524])). 94.60/12.29 tff(f534,plain,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : d_29_ii @ (ordsucc @ X1) @ n_1)), 94.60/12.29 inference(rectify,[],[f262])). 94.60/12.29 tff(f535,plain,( 94.60/12.29 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ n_1) = $true)), 94.60/12.29 inference(fool_elimination,[],[f534])). 94.60/12.29 tff(f554,plain,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : is_of @ (ordsucc @ X1) @ (^[X2 : '$i'] : in @ X2 @ nat))), 94.60/12.29 inference(rectify,[],[f109])). 94.60/12.29 tff(f555,plain,( 94.60/12.29 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 94.60/12.29 inference(fool_elimination,[],[f554])). 94.60/12.29 tff(f586,plain,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : moreis @ X1 @ X3 => lessis @ X3 @ X1))), 94.60/12.29 inference(rectify,[],[f213])). 94.60/12.29 tff(f587,plain,( 94.60/12.29 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) = $true)), 94.60/12.29 inference(fool_elimination,[],[f586])). 94.60/12.29 tff(f588,plain,( 94.60/12.29 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : moreis @ X1 @ X3 => d_not @ (iii @ X1 @ X3)))), 94.60/12.29 inference(rectify,[],[f205])). 94.60/12.29 tff(f589,plain,( 94.60/12.29 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 94.60/12.29 inference(fool_elimination,[],[f588])). 94.60/12.30 tff(f590,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : lessis @ X1 @ X3 => moreis @ X3 @ X1))), 94.60/12.30 inference(rectify,[],[f197])). 94.60/12.30 tff(f591,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f590])). 94.60/12.30 tff(f592,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : lessis @ X1 @ X3 => d_not @ (d_29_ii @ X1 @ X3)))), 94.60/12.30 inference(rectify,[],[f195])). 94.60/12.30 tff(f593,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f592])). 94.60/12.30 tff(f594,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X1 @ X3 => iii @ X3 @ X1))), 94.60/12.30 inference(rectify,[],[f245])). 94.60/12.30 tff(f595,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f594])). 94.60/12.30 tff(f596,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X1 @ X3 => d_not @ (lessis @ X1 @ X3)))), 94.60/12.30 inference(rectify,[],[f250])). 94.60/12.30 tff(f597,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f596])). 94.60/12.30 tff(f598,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X3 @ X1 => moreis @ X3 @ (ordsucc @ X1)))), 94.60/12.30 inference(rectify,[],[f202])). 94.60/12.30 tff(f599,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f598])). 94.60/12.30 tff(f602,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X1 @ X3 => d_29_ii @ X3 @ X1))), 94.60/12.30 inference(rectify,[],[f212])). 94.60/12.30 tff(f603,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 94.60/12.30 inference(fool_elimination,[],[f602])). 94.60/12.30 tff(f610,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (lessis @ X1 @ X3) => d_29_ii @ X1 @ X3))), 94.60/12.30 inference(rectify,[],[f209])). 94.60/12.30 tff(f611,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) = $true)), 94.60/12.30 inference(fool_elimination,[],[f610])). 94.60/12.30 tff(f612,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (d_29_ii @ X1 @ X3) => lessis @ X1 @ X3))), 94.60/12.30 inference(rectify,[],[f227])). 94.60/12.30 tff(f613,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 94.60/12.30 inference(fool_elimination,[],[f612])). 94.60/12.30 tff(f614,plain,( 94.60/12.30 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (iii @ X1 @ X3) => moreis @ X1 @ X3))), 94.60/12.30 inference(rectify,[],[f247])). 94.60/12.30 tff(f615,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 94.60/12.30 inference(fool_elimination,[],[f614])). 94.60/12.30 tff(f699,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) != $true)), 94.60/12.30 inference(flattening,[],[f276])). 94.60/12.30 tff(f708,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) != $true)), 94.60/12.30 inference(cnf_transformation,[],[f699])). 94.60/12.30 tff(f726,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 94.60/12.30 inference(cnf_transformation,[],[f613])). 94.60/12.30 tff(f727,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) = $true)), 94.60/12.30 inference(cnf_transformation,[],[f611])). 94.60/12.30 tff(f729,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) = $true)), 94.60/12.30 inference(cnf_transformation,[],[f597])). 94.60/12.30 tff(f730,plain,( 94.60/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 94.60/12.30 inference(cnf_transformation,[],[f593])). 94.80/12.30 tff(f731,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f591])). 94.80/12.30 tff(f732,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f587])). 94.80/12.30 tff(f742,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f615])). 94.80/12.30 tff(f745,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f603])). 94.80/12.30 tff(f746,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f595])). 94.80/12.30 tff(f747,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f589])). 94.80/12.30 tff(f769,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f599])). 94.80/12.30 tff(f772,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ n_1) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f535])). 94.80/12.30 tff(f780,plain,( 94.80/12.30 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f525])). 94.80/12.30 tff(f781,plain,( 94.80/12.30 ordsucc @ emptyset = n_1), 94.80/12.30 inference(cnf_transformation,[],[f102])). 94.80/12.30 tff(f787,plain,( 94.80/12.30 is_of = cCOMB @ iCOMB), 94.80/12.30 inference(cnf_transformation,[],[f391])). 94.80/12.30 tff(f792,plain,( 94.80/12.30 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 94.80/12.30 inference(cnf_transformation,[],[f555])). 94.80/12.30 tff(f797,plain,( 94.80/12.30 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 94.80/12.30 inference(cnf_transformation,[],[f411])). 94.80/12.30 tff(f803,plain,( 94.80/12.30 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) = all_of), 94.80/12.30 inference(definition_unfolding,[],[f797,f787])). 94.80/12.31 tff(f804,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) != $true)), 94.80/12.31 inference(definition_unfolding,[],[f708,f803,f803])). 94.80/12.31 tff(f819,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f726,f803,f803])). 94.80/12.31 tff(f820,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f727,f803,f803])). 94.80/12.31 tff(f822,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f729,f803,f803])). 94.80/12.31 tff(f823,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f730,f803,f803])). 94.80/12.31 tff(f824,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f731,f803,f803])). 94.80/12.31 tff(f825,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f732,f803,f803])). 94.80/12.31 tff(f835,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f742,f803,f803])). 94.80/12.31 tff(f838,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f745,f803,f803])). 94.80/12.31 tff(f839,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f746,f803,f803])). 94.80/12.31 tff(f840,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f747,f803,f803])). 94.80/12.31 tff(f862,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f769,f803,f803])). 94.80/12.31 tff(f865,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ (ordsucc @ emptyset)) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f772,f803,f781])). 94.80/12.31 tff(f872,plain,( 94.80/12.31 (cCOMB @ iCOMB @ (ordsucc @ emptyset) @ (cCOMB @ in @ nat) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f780,f787,f781])). 94.80/12.31 tff(f882,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 94.80/12.31 inference(definition_unfolding,[],[f792,f803,f787])). 94.80/12.31 tff(f1058,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 94.80/12.31 inference(combinator_normalisation,[],[f819])). 94.80/12.31 tff(f1059,plain,( 94.80/12.31 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 94.80/12.31 inference(combinator_normalisation,[],[f1058])). 94.80/12.31 tff(f1060,plain,( 94.80/12.31 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis))) = $true)), 94.80/12.31 inference(combinator_demodulation,[],[f1059])). 94.80/12.31 tff(f1061,plain,( 94.80/12.31 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) @ X1 = $true)) )), 94.80/12.31 inference(pi_clausification,[],[f1060])). 94.80/12.31 tff(f1062,plain,( 94.80/12.31 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1)))) = $true)) )), 94.80/12.31 inference(combinator_demodulation,[],[f1061])). 94.80/12.31 tff(f1063,plain,( 94.80/12.31 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1))) = $true)) )), 94.80/12.31 inference(binary_proxy_clausification,[],[f1062])). 94.80/12.32 tff(f1064,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1)) @ X2 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1063])). 94.80/12.32 tff(f1065,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (lessis @ X1 @ X2)) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1064])). 94.80/12.32 tff(f1066,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (lessis @ X1 @ X2) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1065])). 94.80/12.32 tff(f1067,plain,( 94.80/12.32 ( ! [X2,X1] : ((d_not @ (d_29_ii @ X1 @ X2) = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (lessis @ X1 @ X2 = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1066])). 94.80/12.32 tff(f1068,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f820])). 94.80/12.32 tff(f1069,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f1068])). 94.80/12.32 tff(f1070,plain,( 94.80/12.32 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii))) = $true)), 94.80/12.32 inference(combinator_demodulation,[],[f1069])). 94.80/12.32 tff(f1071,plain,( 94.80/12.32 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ d_29_ii)) @ X1 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1070])). 94.80/12.32 tff(f1072,plain,( 94.80/12.32 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (lessis @ X1))) @ (d_29_ii @ X1)))) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1071])). 94.80/12.32 tff(f1073,plain,( 94.80/12.32 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (lessis @ X1))) @ (d_29_ii @ X1))) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1072])). 94.80/12.32 tff(f1074,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (lessis @ X1))) @ (d_29_ii @ X1)) @ X2 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1073])). 94.80/12.32 tff(f1075,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (lessis @ X1 @ X2)) @ (d_29_ii @ X1 @ X2)) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1074])). 94.80/12.32 tff(f1076,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (lessis @ X1 @ X2)) @ (d_29_ii @ X1 @ X2) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1075])). 94.80/12.32 tff(f1077,plain,( 94.80/12.32 ( ! [X2,X1] : ((d_not @ (lessis @ X1 @ X2) = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (d_29_ii @ X1 @ X2 = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1076])). 94.80/12.32 tff(f1088,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f822])). 94.80/12.32 tff(f1089,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f1088])). 94.80/12.32 tff(f1090,plain,( 94.80/12.32 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis)))) = $true)), 94.80/12.32 inference(combinator_demodulation,[],[f1089])). 94.80/12.32 tff(f1091,plain,( 94.80/12.32 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (bCOMB @ (bCOMB @ d_not) @ lessis))) @ X1 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1090])). 94.80/12.32 tff(f1092,plain,( 94.80/12.32 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (bCOMB @ d_not @ (lessis @ X1))))) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1091])). 94.80/12.32 tff(f1093,plain,( 94.80/12.32 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (bCOMB @ d_not @ (lessis @ X1)))) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1092])). 94.80/12.32 tff(f1094,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (bCOMB @ d_not @ (lessis @ X1))) @ X2 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1093])). 94.80/12.32 tff(f1095,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_29_ii @ X1 @ X2) @ (d_not @ (lessis @ X1 @ X2))) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1094])). 94.80/12.32 tff(f1096,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_29_ii @ X1 @ X2) @ (d_not @ (lessis @ X1 @ X2)) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1095])). 94.80/12.32 tff(f1097,plain,( 94.80/12.32 ( ! [X2,X1] : ((d_29_ii @ X1 @ X2 = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (d_not @ (lessis @ X1 @ X2) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1096])). 94.80/12.32 tff(f1098,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f823])). 94.80/12.32 tff(f1099,plain,( 94.80/12.32 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 94.80/12.32 inference(combinator_normalisation,[],[f1098])). 94.80/12.32 tff(f1100,plain,( 94.80/12.32 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii)))) = $true)), 94.80/12.32 inference(combinator_demodulation,[],[f1099])). 94.80/12.32 tff(f1101,plain,( 94.80/12.32 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ X1 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1100])). 94.80/12.32 tff(f1102,plain,( 94.80/12.32 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1))))) = $true)) )), 94.80/12.32 inference(combinator_demodulation,[],[f1101])). 94.80/12.32 tff(f1103,plain,( 94.80/12.32 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1)))) = $true)) )), 94.80/12.32 inference(binary_proxy_clausification,[],[f1102])). 94.80/12.32 tff(f1104,plain,( 94.80/12.32 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ X2 = $true)) )), 94.80/12.32 inference(pi_clausification,[],[f1103])). 94.95/12.33 tff(f1105,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (lessis @ X1 @ X2) @ (d_not @ (d_29_ii @ X1 @ X2))) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1104])). 94.95/12.33 tff(f1106,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (lessis @ X1 @ X2) @ (d_not @ (d_29_ii @ X1 @ X2)) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1105])). 94.95/12.33 tff(f1107,plain,( 94.95/12.33 ( ! [X2,X1] : ((d_not @ (d_29_ii @ X1 @ X2) = $true) | (in @ X2 @ nat = $false) | (lessis @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1106])). 94.95/12.33 tff(f1108,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f824])). 94.95/12.33 tff(f1109,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f1108])). 94.95/12.33 tff(f1110,plain,( 94.95/12.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis)))) = $true)), 94.95/12.33 inference(combinator_demodulation,[],[f1109])). 94.95/12.33 tff(f1111,plain,( 94.95/12.33 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) @ X1 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1110])). 94.95/12.33 tff(f1112,plain,( 94.95/12.33 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1)))) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1111])). 94.95/12.33 tff(f1113,plain,( 94.95/12.33 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1))) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1112])). 94.95/12.33 tff(f1114,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1)) @ X2 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1113])). 94.95/12.33 tff(f1115,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (lessis @ X1 @ X2) @ (moreis @ X2 @ X1)) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1114])). 94.95/12.33 tff(f1116,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (lessis @ X1 @ X2) @ (moreis @ X2 @ X1) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1115])). 94.95/12.33 tff(f1117,plain,( 94.95/12.33 ( ! [X2,X1] : ((moreis @ X2 @ X1 = $true) | (in @ X2 @ nat = $false) | (lessis @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1116])). 94.95/12.33 tff(f1118,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f825])). 94.95/12.33 tff(f1119,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f1118])). 94.95/12.33 tff(f1120,plain,( 94.95/12.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis)))) = $true)), 94.95/12.33 inference(combinator_demodulation,[],[f1119])). 94.95/12.33 tff(f1121,plain,( 94.95/12.33 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (cCOMB @ lessis))) @ X1 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1120])). 94.95/12.33 tff(f1122,plain,( 94.95/12.33 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (cCOMB @ lessis @ X1)))) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1121])). 94.95/12.33 tff(f1123,plain,( 94.95/12.33 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (cCOMB @ lessis @ X1))) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1122])). 94.95/12.33 tff(f1124,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (cCOMB @ lessis @ X1)) @ X2 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1123])). 94.95/12.33 tff(f1125,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (moreis @ X1 @ X2) @ (lessis @ X2 @ X1)) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1124])). 94.95/12.33 tff(f1126,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (moreis @ X1 @ X2) @ (lessis @ X2 @ X1) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1125])). 94.95/12.33 tff(f1127,plain,( 94.95/12.33 ( ! [X2,X1] : ((moreis @ X1 @ X2 = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (lessis @ X2 @ X1 = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1126])). 94.95/12.33 tff(f1251,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f835])). 94.95/12.33 tff(f1252,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f1251])). 94.95/12.33 tff(f1253,plain,( 94.95/12.33 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis))) = $true)), 94.95/12.33 inference(combinator_demodulation,[],[f1252])). 94.95/12.33 tff(f1254,plain,( 94.95/12.33 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) @ X1 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1253])). 94.95/12.33 tff(f1255,plain,( 94.95/12.33 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1)))) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1254])). 94.95/12.33 tff(f1256,plain,( 94.95/12.33 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1))) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1255])). 94.95/12.33 tff(f1257,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1)) @ X2 = $true)) )), 94.95/12.33 inference(pi_clausification,[],[f1256])). 94.95/12.33 tff(f1258,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (moreis @ X1 @ X2)) = $true)) )), 94.95/12.33 inference(combinator_demodulation,[],[f1257])). 94.95/12.33 tff(f1259,plain,( 94.95/12.33 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (moreis @ X1 @ X2) = $true)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1258])). 94.95/12.33 tff(f1260,plain,( 94.95/12.33 ( ! [X2,X1] : ((moreis @ X1 @ X2 = $true) | (in @ X2 @ nat = $false) | (d_not @ (iii @ X1 @ X2) = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.33 inference(binary_proxy_clausification,[],[f1259])). 94.95/12.33 tff(f1281,plain,( 94.95/12.33 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 94.95/12.33 inference(combinator_normalisation,[],[f838])). 94.95/12.34 tff(f1282,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f1281])). 94.95/12.34 tff(f1283,plain,( 94.95/12.34 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii)))) = $true)), 94.95/12.34 inference(combinator_demodulation,[],[f1282])). 94.95/12.34 tff(f1284,plain,( 94.95/12.34 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) @ X1 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1283])). 94.95/12.34 tff(f1285,plain,( 94.95/12.34 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ d_29_ii @ X1)))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1284])). 94.95/12.34 tff(f1286,plain,( 94.95/12.34 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ d_29_ii @ X1))) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1285])). 94.95/12.34 tff(f1287,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ d_29_ii @ X1)) @ X2 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1286])). 94.95/12.34 tff(f1288,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (iii @ X1 @ X2) @ (d_29_ii @ X2 @ X1)) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1287])). 94.95/12.34 tff(f1289,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (iii @ X1 @ X2) @ (d_29_ii @ X2 @ X1) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1288])). 94.95/12.34 tff(f1290,plain,( 94.95/12.34 ( ! [X2,X1] : ((d_29_ii @ X2 @ X1 = $true) | (in @ X2 @ nat = $false) | (iii @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1289])). 94.95/12.34 tff(f1291,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f839])). 94.95/12.34 tff(f1292,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f1291])). 94.95/12.34 tff(f1293,plain,( 94.95/12.34 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii)))) = $true)), 94.95/12.34 inference(combinator_demodulation,[],[f1292])). 94.95/12.34 tff(f1294,plain,( 94.95/12.34 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) @ X1 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1293])). 94.95/12.34 tff(f1295,plain,( 94.95/12.34 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1)))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1294])). 94.95/12.34 tff(f1296,plain,( 94.95/12.34 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1))) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1295])). 94.95/12.34 tff(f1297,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1)) @ X2 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1296])). 94.95/12.34 tff(f1298,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_29_ii @ X1 @ X2) @ (iii @ X2 @ X1)) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1297])). 94.95/12.34 tff(f1299,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_29_ii @ X1 @ X2) @ (iii @ X2 @ X1) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1298])). 94.95/12.34 tff(f1300,plain,( 94.95/12.34 ( ! [X2,X1] : ((d_29_ii @ X1 @ X2 = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (iii @ X2 @ X1 = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1299])). 94.95/12.34 tff(f1301,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f840])). 94.95/12.34 tff(f1302,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f1301])). 94.95/12.34 tff(f1303,plain,( 94.95/12.34 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii)))) = $true)), 94.95/12.34 inference(combinator_demodulation,[],[f1302])). 94.95/12.34 tff(f1304,plain,( 94.95/12.34 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ X1 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1303])). 94.95/12.34 tff(f1305,plain,( 94.95/12.34 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1))))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1304])). 94.95/12.34 tff(f1306,plain,( 94.95/12.34 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1)))) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1305])). 94.95/12.34 tff(f1307,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1))) @ X2 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1306])). 94.95/12.34 tff(f1308,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (moreis @ X1 @ X2) @ (d_not @ (iii @ X1 @ X2))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1307])). 94.95/12.34 tff(f1309,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (moreis @ X1 @ X2) @ (d_not @ (iii @ X1 @ X2)) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1308])). 94.95/12.34 tff(f1310,plain,( 94.95/12.34 ( ! [X2,X1] : ((d_not @ (iii @ X1 @ X2) = $true) | (in @ X2 @ nat = $false) | (moreis @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1309])). 94.95/12.34 tff(f1587,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f862])). 94.95/12.34 tff(f1588,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f1587])). 94.95/12.34 tff(f1589,plain,( 94.95/12.34 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc)))) = $true)), 94.95/12.34 inference(combinator_demodulation,[],[f1588])). 94.95/12.34 tff(f1590,plain,( 94.95/12.34 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ d_29_ii))) @ (bCOMB @ (cCOMB @ moreis) @ ordsucc))) @ X1 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1589])). 94.95/12.34 tff(f1591,plain,( 94.95/12.34 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ d_29_ii @ X1)) @ (cCOMB @ moreis @ (ordsucc @ X1))))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1590])). 94.95/12.34 tff(f1592,plain,( 94.95/12.34 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ d_29_ii @ X1)) @ (cCOMB @ moreis @ (ordsucc @ X1)))) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1591])). 94.95/12.34 tff(f1593,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ d_29_ii @ X1)) @ (cCOMB @ moreis @ (ordsucc @ X1))) @ X2 = $true)) )), 94.95/12.34 inference(pi_clausification,[],[f1592])). 94.95/12.34 tff(f1594,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_29_ii @ X2 @ X1) @ (moreis @ X2 @ (ordsucc @ X1))) = $true)) )), 94.95/12.34 inference(combinator_demodulation,[],[f1593])). 94.95/12.34 tff(f1595,plain,( 94.95/12.34 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_29_ii @ X2 @ X1) @ (moreis @ X2 @ (ordsucc @ X1)) = $true)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1594])). 94.95/12.34 tff(f1596,plain,( 94.95/12.34 ( ! [X2,X1] : ((moreis @ X2 @ (ordsucc @ X1) = $true) | (in @ X2 @ nat = $false) | (d_29_ii @ X2 @ X1 = $false) | (in @ X1 @ nat = $false)) )), 94.95/12.34 inference(binary_proxy_clausification,[],[f1595])). 94.95/12.34 tff(f1612,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ (ordsucc @ emptyset)) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f865])). 94.95/12.34 tff(f1613,plain,( 94.95/12.34 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ (ordsucc @ emptyset)) = $true)), 94.95/12.34 inference(combinator_normalisation,[],[f1612])). 94.95/12.34 tff(f1614,plain,( 94.95/12.34 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ (ordsucc @ emptyset))) = $true)), 94.95/12.34 inference(combinator_demodulation,[],[f1613])). 94.95/12.35 tff(f1615,plain,( 94.95/12.35 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ (ordsucc @ emptyset)) @ X1 = $true)) )), 94.95/12.35 inference(pi_clausification,[],[f1614])). 94.95/12.35 tff(f1616,plain,( 94.95/12.35 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (d_29_ii @ (ordsucc @ X1) @ (ordsucc @ emptyset)) = $true)) )), 94.95/12.35 inference(combinator_demodulation,[],[f1615])). 94.95/12.35 tff(f1617,plain,( 94.95/12.35 ( ! [X1] : ((d_29_ii @ (ordsucc @ X1) @ (ordsucc @ emptyset) = $true) | (in @ X1 @ nat = $false)) )), 94.95/12.35 inference(binary_proxy_clausification,[],[f1616])). 94.95/12.35 tff(f1654,plain,( 94.95/12.35 (in @ (ordsucc @ emptyset) @ nat = $true)), 94.95/12.35 inference(combinator_demodulation,[],[f872])). 94.95/12.35 tff(f1749,plain,( 94.95/12.35 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 94.95/12.35 inference(combinator_normalisation,[],[f882])). 94.95/12.35 tff(f1750,plain,( 94.95/12.35 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 94.95/12.35 inference(combinator_normalisation,[],[f1749])). 94.95/12.35 tff(f1751,plain,( 94.95/12.35 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat))) = $true)), 94.95/12.35 inference(combinator_demodulation,[],[f1750])). 94.95/12.35 tff(f1752,plain,( 94.95/12.35 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) @ X1 = $true)) )), 94.95/12.35 inference(pi_clausification,[],[f1751])). 94.95/12.35 tff(f1753,plain,( 94.95/12.35 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (in @ (ordsucc @ X1) @ nat) = $true)) )), 94.95/12.35 inference(combinator_demodulation,[],[f1752])). 94.95/12.35 tff(f1754,plain,( 94.95/12.35 ( ! [X1] : ((in @ (ordsucc @ X1) @ nat = $true) | (in @ X1 @ nat = $false)) )), 94.95/12.35 inference(binary_proxy_clausification,[],[f1753])). 94.95/12.35 tff(f1772,plain,( 94.95/12.35 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) != $true)), 94.95/12.35 inference(combinator_normalisation,[],[f804])). 94.95/12.35 tff(f1773,plain,( 94.95/12.35 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) != $true)), 94.95/12.35 inference(combinator_normalisation,[],[f1772])). 94.95/12.35 tff(f1774,plain,( 94.95/12.35 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc))))) != $true)), 94.95/12.35 inference(combinator_demodulation,[],[f1773])). 94.95/12.35 tff(f1775,plain,( 94.95/12.35 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) @ sK2 = $false)), 94.95/12.35 inference(sigma_clausification,[],[f1774])). 94.95/12.35 tff(f1776,plain,( 94.95/12.35 (vIMP @ (in @ sK2 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ sK2)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ sK2)))) = $false)), 94.95/12.35 inference(combinator_demodulation,[],[f1775])). 94.95/12.35 tff(f1777,plain,( 94.95/12.35 (in @ sK2 @ nat = $true)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1776])). 94.95/12.35 tff(f1778,plain,( 94.95/12.35 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ sK2)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ sK2))) = $false)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1776])). 94.95/12.35 tff(f1779,plain,( 94.95/12.35 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ sK2)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ sK2)) @ sK3 = $false)), 94.95/12.35 inference(sigma_clausification,[],[f1778])). 94.95/12.35 tff(f1780,plain,( 94.95/12.35 (vIMP @ (in @ sK3 @ nat) @ (vIMP @ (iii @ sK3 @ sK2) @ (lessis @ (ordsucc @ sK3) @ sK2)) = $false)), 94.95/12.35 inference(combinator_demodulation,[],[f1779])). 94.95/12.35 tff(f1781,plain,( 94.95/12.35 (in @ sK3 @ nat = $true)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1780])). 94.95/12.35 tff(f1782,plain,( 94.95/12.35 (vIMP @ (iii @ sK3 @ sK2) @ (lessis @ (ordsucc @ sK3) @ sK2) = $false)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1780])). 94.95/12.35 tff(f1783,plain,( 94.95/12.35 (iii @ sK3 @ sK2 = $true)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1782])). 94.95/12.35 tff(f1784,plain,( 94.95/12.35 (lessis @ (ordsucc @ sK3) @ sK2 = $false)), 94.95/12.35 inference(binary_proxy_clausification,[],[f1782])). 94.95/12.35 tff(f1880,plain,( 94.95/12.35 (d_not @ $true = $true) | (in @ sK2 @ nat = $false) | (moreis @ sK3 @ sK2 = $false) | (in @ sK3 @ nat = $false)), 94.95/12.35 inference(superposition,[],[f1310,f1783])). 94.95/12.35 tff(f1895,plain,( 94.95/12.35 ($false = $true) | (d_not @ $true = $true) | (moreis @ sK3 @ sK2 = $false) | (in @ sK3 @ nat = $false)), 94.95/12.35 inference(forward_demodulation,[],[f1880,f1777])). 94.95/12.35 tff(f1896,plain,( 94.95/12.35 (d_not @ $true = $true) | (moreis @ sK3 @ sK2 = $false) | (in @ sK3 @ nat = $false)), 94.95/12.35 inference(trivial_inequality_removal,[],[f1895])). 94.95/12.35 tff(f1897,plain,( 94.95/12.35 ($false = $true) | (d_not @ $true = $true) | (moreis @ sK3 @ sK2 = $false)), 94.95/12.35 inference(forward_demodulation,[],[f1896,f1781])). 94.95/12.35 tff(f1898,plain,( 94.95/12.35 (d_not @ $true = $true) | (moreis @ sK3 @ sK2 = $false)), 94.95/12.35 inference(trivial_inequality_removal,[],[f1897])). 94.95/12.35 tff(f1899,plain,( 94.95/12.35 (d_not @ $false = $false) | (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true)), 94.95/12.35 inference(superposition,[],[f1077,f1784])). 94.95/12.35 tff(f1900,plain,( 94.95/12.35 ($false = $true) | (d_not @ $false = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true)), 94.95/12.35 inference(forward_demodulation,[],[f1899,f1777])). 94.95/12.35 tff(f1901,plain,( 94.95/12.35 (d_not @ $false = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true)), 94.95/12.35 inference(trivial_inequality_removal,[],[f1900])). 94.95/12.35 tff(f1903,plain,( 94.95/12.35 spl1_1 <=> (moreis @ sK3 @ sK2 != $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 94.95/12.35 tff(f1904,plain,( 94.95/12.35 (moreis @ sK3 @ sK2 != $false) | ~spl1_1), 94.95/12.35 inference(avatar_component_clause,[],[f1903])). 94.95/12.35 tff(f1906,plain,( 94.95/12.35 spl1_0 <=> (moreis @ sK3 @ sK2 = $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 94.95/12.35 tff(f1907,plain,( 94.95/12.35 (moreis @ sK3 @ sK2 = $false) | ~spl1_0), 94.95/12.35 inference(avatar_component_clause,[],[f1906])). 94.95/12.35 tff(f1909,plain,( 94.95/12.35 spl1_3 <=> (d_not @ $true != $true)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 94.95/12.35 tff(f1910,plain,( 94.95/12.35 (d_not @ $true != $true) | ~spl1_3), 94.95/12.35 inference(avatar_component_clause,[],[f1909])). 94.95/12.35 tff(f1912,plain,( 94.95/12.35 spl1_2 <=> (d_not @ $true = $true)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 94.95/12.35 tff(f1913,plain,( 94.95/12.35 (d_not @ $true = $true) | ~spl1_2), 94.95/12.35 inference(avatar_component_clause,[],[f1912])). 94.95/12.35 tff(f1914,plain,( 94.95/12.35 spl1_0 | spl1_2), 94.95/12.35 inference(avatar_split_clause,[],[f1898,f1912,f1906])). 94.95/12.35 tff(f2012,plain,( 94.95/12.35 spl1_11 <=> (d_29_ii @ (ordsucc @ sK3) @ sK2 != $true)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 94.95/12.35 tff(f2013,plain,( 94.95/12.35 (d_29_ii @ (ordsucc @ sK3) @ sK2 != $true) | ~spl1_11), 94.95/12.35 inference(avatar_component_clause,[],[f2012])). 94.95/12.35 tff(f2015,plain,( 94.95/12.35 spl1_10 <=> (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 94.95/12.35 tff(f2016,plain,( 94.95/12.35 (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true) | ~spl1_10), 94.95/12.35 inference(avatar_component_clause,[],[f2015])). 94.95/12.35 tff(f2018,plain,( 94.95/12.35 spl1_13 <=> (in @ (ordsucc @ sK3) @ nat != $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 94.95/12.35 tff(f2019,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat != $false) | ~spl1_13), 94.95/12.35 inference(avatar_component_clause,[],[f2018])). 94.95/12.35 tff(f2021,plain,( 94.95/12.35 spl1_12 <=> (in @ (ordsucc @ sK3) @ nat = $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 94.95/12.35 tff(f2022,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_12), 94.95/12.35 inference(avatar_component_clause,[],[f2021])). 94.95/12.35 tff(f2027,plain,( 94.95/12.35 spl1_14 <=> (d_not @ $false = $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 94.95/12.35 tff(f2028,plain,( 94.95/12.35 (d_not @ $false = $false) | ~spl1_14), 94.95/12.35 inference(avatar_component_clause,[],[f2027])). 94.95/12.35 tff(f2029,plain,( 94.95/12.35 spl1_10 | spl1_12 | spl1_14), 94.95/12.35 inference(avatar_split_clause,[],[f1901,f2027,f2021,f2015])). 94.95/12.35 tff(f2036,plain,( 94.95/12.35 (d_not @ $true = $false) | (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $true) | ~spl1_10), 94.95/12.35 inference(superposition,[],[f1067,f2016])). 94.95/12.35 tff(f2049,plain,( 94.95/12.35 ($false = $true) | (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $true) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(forward_demodulation,[],[f2036,f1913])). 94.95/12.35 tff(f2050,plain,( 94.95/12.35 (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $true) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(trivial_inequality_removal,[],[f2049])). 94.95/12.35 tff(f2051,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $true) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(forward_demodulation,[],[f2050,f1777])). 94.95/12.35 tff(f2052,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $true) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(trivial_inequality_removal,[],[f2051])). 94.95/12.35 tff(f2053,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(forward_demodulation,[],[f2052,f1784])). 94.95/12.35 tff(f2054,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat = $false) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(trivial_inequality_removal,[],[f2053])). 94.95/12.35 tff(f2055,plain,( 94.95/12.35 ($false = $true) | (in @ sK3 @ nat = $false) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(superposition,[],[f2054,f1754])). 94.95/12.35 tff(f2058,plain,( 94.95/12.35 (in @ sK3 @ nat = $false) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(trivial_inequality_removal,[],[f2055])). 94.95/12.35 tff(f2059,plain,( 94.95/12.35 ($false = $true) | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(backward_demodulation,[],[f2058,f1781])). 94.95/12.35 tff(f2060,plain,( 94.95/12.35 $false | (~spl1_2 | ~spl1_10)), 94.95/12.35 inference(trivial_inequality_removal,[],[f2059])). 94.95/12.35 tff(f2061,plain,( 94.95/12.35 ~spl1_2 | ~spl1_10), 94.95/12.35 inference(avatar_contradiction_clause,[],[f2060])). 94.95/12.35 tff(f2114,plain,( 94.95/12.35 ($true != $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | ~spl1_11), 94.95/12.35 inference(superposition,[],[f2013,f1290])). 94.95/12.35 tff(f2116,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | ~spl1_11), 94.95/12.35 inference(trivial_inequality_removal,[],[f2114])). 94.95/12.35 tff(f2141,plain,( 94.95/12.35 ($false = $true) | (in @ sK3 @ nat = $false) | ~spl1_12), 94.95/12.35 inference(superposition,[],[f2022,f1754])). 94.95/12.35 tff(f2144,plain,( 94.95/12.35 (in @ sK3 @ nat = $false) | ~spl1_12), 94.95/12.35 inference(trivial_inequality_removal,[],[f2141])). 94.95/12.35 tff(f2145,plain,( 94.95/12.35 ($false = $true) | ~spl1_12), 94.95/12.35 inference(backward_demodulation,[],[f2144,f1781])). 94.95/12.35 tff(f2146,plain,( 94.95/12.35 $false | ~spl1_12), 94.95/12.35 inference(trivial_inequality_removal,[],[f2145])). 94.95/12.35 tff(f2147,plain,( 94.95/12.35 ~spl1_12), 94.95/12.35 inference(avatar_contradiction_clause,[],[f2146])). 94.95/12.35 tff(f2148,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $false) | ~spl1_11), 94.95/12.35 inference(forward_demodulation,[],[f2116,f1777])). 94.95/12.35 tff(f2149,plain,( 94.95/12.35 (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $false) | ~spl1_11), 94.95/12.35 inference(trivial_inequality_removal,[],[f2148])). 94.95/12.35 tff(f2222,plain,( 94.95/12.35 (d_29_ii @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $true) | ~spl1_13), 94.95/12.35 inference(unit_resulting_resolution,[],[f2019,f1617])). 94.95/12.35 tff(f2232,plain,( 94.95/12.35 (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $true) | ~spl1_13), 94.95/12.35 inference(unit_resulting_resolution,[],[f2019,f1754])). 94.95/12.35 tff(f2447,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ emptyset) @ nat = $false) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(superposition,[],[f2222,f1097])). 94.95/12.35 tff(f2449,plain,( 94.95/12.35 (d_not @ $true = $true) | (in @ (ordsucc @ emptyset) @ nat = $false) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | ~spl1_13), 94.95/12.35 inference(superposition,[],[f1107,f2222])). 94.95/12.35 tff(f2454,plain,( 94.95/12.35 (in @ (ordsucc @ emptyset) @ nat = $false) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(trivial_inequality_removal,[],[f2447])). 94.95/12.35 tff(f2456,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(forward_demodulation,[],[f2454,f1654])). 94.95/12.35 tff(f2457,plain,( 94.95/12.35 (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(trivial_inequality_removal,[],[f2456])). 94.95/12.35 tff(f2458,plain,( 94.95/12.35 ($false = $true) | (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(forward_demodulation,[],[f2457,f2232])). 94.95/12.35 tff(f2459,plain,( 94.95/12.35 (d_not @ (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset)) = $true) | ~spl1_13), 94.95/12.35 inference(trivial_inequality_removal,[],[f2458])). 94.95/12.35 tff(f2629,plain,( 94.95/12.35 spl1_16 <=> (iii @ sK2 @ (ordsucc @ sK3) = $false)), 94.95/12.35 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 94.95/12.35 tff(f2630,plain,( 94.95/12.35 (iii @ sK2 @ (ordsucc @ sK3) = $false) | ~spl1_16), 94.95/12.35 inference(avatar_component_clause,[],[f2629])). 94.95/12.35 tff(f2631,plain,( 94.95/12.35 spl1_16 | spl1_12 | spl1_11), 94.95/12.35 inference(avatar_split_clause,[],[f2149,f2012,f2021,f2629])). 94.95/12.35 tff(f2640,plain,( 94.95/12.35 ($false = $true) | (d_not @ $true = $true) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | ~spl1_13), 94.95/12.35 inference(forward_demodulation,[],[f2449,f1654])). 94.95/12.35 tff(f2641,plain,( 94.95/12.35 (d_not @ $true = $true) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | ~spl1_13), 94.95/12.35 inference(trivial_inequality_removal,[],[f2640])). 94.95/12.35 tff(f2642,plain,( 94.95/12.35 ($false = $true) | (d_not @ $true = $true) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | ~spl1_13), 94.95/12.35 inference(forward_demodulation,[],[f2641,f2232])). 94.95/12.35 tff(f2643,plain,( 94.95/12.35 (d_not @ $true = $true) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | ~spl1_13), 94.95/12.35 inference(trivial_inequality_removal,[],[f2642])). 94.95/12.35 tff(f2668,plain,( 94.95/12.35 ($true != $true) | (d_not @ $true = $false) | ~spl1_3), 94.95/12.35 inference(fool_paramodulation,[],[f1910])). 94.95/12.35 tff(f2670,plain,( 94.95/12.35 (d_not @ $true = $false) | ~spl1_3), 94.95/12.35 inference(trivial_inequality_removal,[],[f2668])). 94.95/12.35 tff(f2743,plain,( 94.95/12.35 ($false = $true) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(superposition,[],[f1907,f1117])). 94.95/12.35 tff(f2746,plain,( 94.95/12.35 ($false = $true) | (in @ sK2 @ nat = $false) | (d_not @ (iii @ sK3 @ sK2) = $false) | (in @ sK3 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(superposition,[],[f1260,f1907])). 94.95/12.35 tff(f2749,plain,( 94.95/12.35 (in @ sK2 @ nat = $false) | (d_not @ (iii @ sK3 @ sK2) = $false) | (in @ sK3 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(trivial_inequality_removal,[],[f2746])). 94.95/12.35 tff(f2752,plain,( 94.95/12.35 (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(trivial_inequality_removal,[],[f2743])). 94.95/12.35 tff(f2753,plain,( 94.95/12.35 ($false = $true) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(forward_demodulation,[],[f2752,f1781])). 94.95/12.35 tff(f2754,plain,( 94.95/12.35 (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(trivial_inequality_removal,[],[f2753])). 94.95/12.35 tff(f2755,plain,( 94.95/12.35 ($false = $true) | (lessis @ sK2 @ sK3 = $false) | ~spl1_0), 94.95/12.35 inference(forward_demodulation,[],[f2754,f1777])). 94.95/12.35 tff(f2756,plain,( 94.95/12.35 (lessis @ sK2 @ sK3 = $false) | ~spl1_0), 94.95/12.35 inference(trivial_inequality_removal,[],[f2755])). 94.95/12.35 tff(f2760,plain,( 94.95/12.35 ($false = $true) | (d_not @ (iii @ sK3 @ sK2) = $false) | (in @ sK3 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(forward_demodulation,[],[f2749,f1777])). 94.95/12.35 tff(f2761,plain,( 94.95/12.35 (d_not @ (iii @ sK3 @ sK2) = $false) | (in @ sK3 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(trivial_inequality_removal,[],[f2760])). 94.95/12.35 tff(f2762,plain,( 94.95/12.35 (d_not @ $true = $false) | (in @ sK3 @ nat = $false) | ~spl1_0), 94.95/12.35 inference(forward_demodulation,[],[f2761,f1783])). 94.95/12.35 tff(f2763,plain,( 94.95/12.35 (d_not @ $false = $false) | (in @ sK3 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_0), 94.95/12.35 inference(superposition,[],[f1077,f2756])). 94.95/12.35 tff(f2798,plain,( 94.95/12.35 ($false = $true) | (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_10), 94.95/12.35 inference(superposition,[],[f2016,f1300])). 94.95/12.35 tff(f2807,plain,( 94.95/12.35 (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_10), 94.95/12.35 inference(trivial_inequality_removal,[],[f2798])). 94.95/12.35 tff(f2808,plain,( 94.95/12.35 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_10), 94.95/12.35 inference(forward_demodulation,[],[f2807,f1777])). 94.95/12.36 tff(f2809,plain,( 94.95/12.36 (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_10), 94.95/12.36 inference(trivial_inequality_removal,[],[f2808])). 94.95/12.36 tff(f2913,plain,( 94.95/12.36 spl1_18 <=> (iii @ sK2 @ (ordsucc @ sK3) = $true)), 94.95/12.36 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 94.95/12.36 tff(f2914,plain,( 94.95/12.36 (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_18), 94.95/12.36 inference(avatar_component_clause,[],[f2913])). 94.95/12.36 tff(f2915,plain,( 94.95/12.36 spl1_18 | spl1_12 | ~spl1_10), 94.95/12.36 inference(avatar_split_clause,[],[f2809,f2015,f2021,f2913])). 94.95/12.36 tff(f2918,plain,( 94.95/12.36 ($false = $true) | (d_not @ $false = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_0), 94.95/12.36 inference(forward_demodulation,[],[f2763,f1781])). 94.95/12.36 tff(f2919,plain,( 94.95/12.36 (d_not @ $false = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_0), 94.95/12.36 inference(trivial_inequality_removal,[],[f2918])). 94.95/12.36 tff(f2920,plain,( 94.95/12.36 ($false = $true) | (d_not @ $false = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_0), 94.95/12.36 inference(forward_demodulation,[],[f2919,f1777])). 94.95/12.36 tff(f2921,plain,( 94.95/12.36 (d_not @ $false = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_0), 94.95/12.36 inference(trivial_inequality_removal,[],[f2920])). 94.95/12.36 tff(f2960,plain,( 94.95/12.36 ($false = $true) | (in @ sK3 @ nat = $false) | (~spl1_0 | ~spl1_2)), 94.95/12.36 inference(backward_demodulation,[],[f1913,f2762])). 94.95/12.36 tff(f2963,plain,( 94.95/12.36 (in @ sK3 @ nat = $false) | (~spl1_0 | ~spl1_2)), 94.95/12.36 inference(trivial_inequality_removal,[],[f2960])). 94.95/12.36 tff(f2973,plain,( 94.95/12.36 ($false = $true) | (~spl1_0 | ~spl1_2)), 94.95/12.36 inference(backward_demodulation,[],[f2963,f1781])). 94.95/12.36 tff(f2974,plain,( 94.95/12.36 $false | (~spl1_0 | ~spl1_2)), 94.95/12.36 inference(trivial_inequality_removal,[],[f2973])). 94.95/12.36 tff(f2975,plain,( 94.95/12.36 ~spl1_0 | ~spl1_2), 94.95/12.36 inference(avatar_contradiction_clause,[],[f2974])). 94.95/12.36 tff(f2981,plain,( 94.95/12.36 ($false = $true) | (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | (~spl1_3 | ~spl1_13)), 94.95/12.36 inference(backward_demodulation,[],[f2670,f2643])). 94.95/12.36 tff(f2994,plain,( 94.95/12.36 (lessis @ (ordsucc @ (ordsucc @ sK3)) @ (ordsucc @ emptyset) = $false) | (~spl1_3 | ~spl1_13)), 94.95/12.36 inference(trivial_inequality_removal,[],[f2981])). 94.95/12.36 tff(f2996,plain,( 94.95/12.36 (d_not @ $false = $true) | (~spl1_3 | ~spl1_13)), 94.95/12.36 inference(backward_demodulation,[],[f2994,f2459])). 94.95/12.36 tff(f2998,plain,( 94.95/12.36 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_0 | ~spl1_3 | ~spl1_13)), 94.95/12.36 inference(backward_demodulation,[],[f2996,f2921])). 94.95/12.36 tff(f3142,plain,( 94.95/12.36 (d_not @ $true = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | ~spl1_18), 94.95/12.36 inference(superposition,[],[f1310,f2914])). 94.95/12.36 tff(f3153,plain,( 94.95/12.36 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | (~spl1_3 | ~spl1_18)), 94.95/12.36 inference(forward_demodulation,[],[f3142,f2670])). 94.95/12.36 tff(f3154,plain,( 94.95/12.36 (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | (~spl1_3 | ~spl1_18)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3153])). 94.95/12.36 tff(f3155,plain,( 94.95/12.36 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (~spl1_3 | ~spl1_18)), 94.95/12.36 inference(forward_demodulation,[],[f3154,f1777])). 94.95/12.36 tff(f3156,plain,( 94.95/12.36 (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (~spl1_3 | ~spl1_18)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3155])). 94.95/12.36 tff(f3237,plain,( 94.95/12.36 spl1_20 <=> (moreis @ sK2 @ (ordsucc @ sK3) = $false)), 94.95/12.36 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 94.95/12.36 tff(f3238,plain,( 94.95/12.36 (moreis @ sK2 @ (ordsucc @ sK3) = $false) | ~spl1_20), 94.95/12.36 inference(avatar_component_clause,[],[f3237])). 94.95/12.36 tff(f3239,plain,( 94.95/12.36 spl1_20 | spl1_12 | spl1_3 | ~spl1_18), 94.95/12.36 inference(avatar_split_clause,[],[f3156,f2913,f1909,f2021,f3237])). 94.95/12.36 tff(f3288,plain,( 94.95/12.36 ($false != $false) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(superposition,[],[f1904,f1127])). 94.95/12.36 tff(f3298,plain,( 94.95/12.36 (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(trivial_inequality_removal,[],[f3288])). 94.95/12.36 tff(f3299,plain,( 94.95/12.36 ($false = $true) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(forward_demodulation,[],[f3298,f1777])). 94.95/12.36 tff(f3300,plain,( 94.95/12.36 (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(trivial_inequality_removal,[],[f3299])). 94.95/12.36 tff(f3301,plain,( 94.95/12.36 ($false = $true) | (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(forward_demodulation,[],[f3300,f1781])). 94.95/12.36 tff(f3302,plain,( 94.95/12.36 (lessis @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(trivial_inequality_removal,[],[f3301])). 94.95/12.36 tff(f3326,plain,( 94.95/12.36 (d_not @ $true = $false) | (in @ sK3 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | ~spl1_1), 94.95/12.36 inference(superposition,[],[f1077,f3302])). 94.95/12.36 tff(f3349,plain,( 94.95/12.36 ($false = $true) | (in @ sK3 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(forward_demodulation,[],[f3326,f1913])). 94.95/12.36 tff(f3350,plain,( 94.95/12.36 (in @ sK3 @ nat = $false) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3349])). 94.95/12.36 tff(f3351,plain,( 94.95/12.36 ($false = $true) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(forward_demodulation,[],[f3350,f1781])). 94.95/12.36 tff(f3352,plain,( 94.95/12.36 (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3351])). 94.95/12.36 tff(f3353,plain,( 94.95/12.36 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(forward_demodulation,[],[f3352,f1777])). 94.95/12.36 tff(f3354,plain,( 94.95/12.36 (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_1 | ~spl1_2)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3353])). 94.95/12.36 tff(f3426,plain,( 94.95/12.36 (d_not @ $false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | ~spl1_16), 94.95/12.36 inference(superposition,[],[f1310,f2630])). 94.95/12.36 tff(f3429,plain,( 94.95/12.36 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | (~spl1_14 | ~spl1_16)), 94.95/12.36 inference(forward_demodulation,[],[f3426,f2028])). 94.95/12.36 tff(f3430,plain,( 94.95/12.36 (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (in @ sK2 @ nat = $false) | (~spl1_14 | ~spl1_16)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3429])). 94.95/12.36 tff(f3431,plain,( 94.95/12.36 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (~spl1_14 | ~spl1_16)), 94.95/12.36 inference(forward_demodulation,[],[f3430,f1777])). 94.95/12.36 tff(f3432,plain,( 94.95/12.36 (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $false) | (~spl1_14 | ~spl1_16)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3431])). 94.95/12.36 tff(f3903,plain,( 94.95/12.36 spl1_20 | spl1_12 | ~spl1_14 | ~spl1_16), 94.95/12.36 inference(avatar_split_clause,[],[f3432,f2629,f2027,f2021,f3237])). 94.95/12.36 tff(f3904,plain,( 94.95/12.36 ($false = $true) | (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK3 @ nat = $false) | ~spl1_20), 94.95/12.36 inference(superposition,[],[f3238,f1596])). 94.95/12.36 tff(f3917,plain,( 94.95/12.36 (in @ sK2 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK3 @ nat = $false) | ~spl1_20), 94.95/12.36 inference(trivial_inequality_removal,[],[f3904])). 94.95/12.36 tff(f3918,plain,( 94.95/12.36 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK3 @ nat = $false) | ~spl1_20), 94.95/12.36 inference(forward_demodulation,[],[f3917,f1777])). 94.95/12.36 tff(f3919,plain,( 94.95/12.36 (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK3 @ nat = $false) | ~spl1_20), 94.95/12.36 inference(trivial_inequality_removal,[],[f3918])). 94.95/12.36 tff(f3920,plain,( 94.95/12.36 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $false) | ~spl1_20), 94.95/12.36 inference(forward_demodulation,[],[f3919,f1781])). 94.95/12.36 tff(f3921,plain,( 94.95/12.36 (d_29_ii @ sK2 @ sK3 = $false) | ~spl1_20), 94.95/12.36 inference(trivial_inequality_removal,[],[f3920])). 94.95/12.36 tff(f3922,plain,( 94.95/12.36 ($false = $true) | (~spl1_1 | ~spl1_2 | ~spl1_20)), 94.95/12.36 inference(backward_demodulation,[],[f3921,f3354])). 94.95/12.36 tff(f3923,plain,( 94.95/12.36 $false | (~spl1_1 | ~spl1_2 | ~spl1_20)), 94.95/12.36 inference(trivial_inequality_removal,[],[f3922])). 94.95/12.36 tff(f3924,plain,( 94.95/12.36 spl1_1 | ~spl1_2 | ~spl1_20), 94.95/12.36 inference(avatar_contradiction_clause,[],[f3923])). 94.95/12.36 tff(f3927,plain,( 94.95/12.36 (d_29_ii @ sK2 @ sK3 = $true) | (~spl1_0 | ~spl1_3 | ~spl1_13)), 94.95/12.36 inference(trivial_inequality_removal,[],[f2998])). 94.95/12.36 tff(f4017,plain,( 94.95/12.36 ($false = $true) | (~spl1_0 | ~spl1_3 | ~spl1_13 | ~spl1_20)), 94.95/12.36 inference(forward_demodulation,[],[f3927,f3921])). 94.95/12.36 tff(f4018,plain,( 94.95/12.36 $false | (~spl1_0 | ~spl1_3 | ~spl1_13 | ~spl1_20)), 94.95/12.36 inference(trivial_inequality_removal,[],[f4017])). 94.95/12.36 tff(f4019,plain,( 94.95/12.36 ~spl1_0 | spl1_3 | spl1_13 | ~spl1_20), 94.95/12.36 inference(avatar_contradiction_clause,[],[f4018])). 94.95/12.36 tff(f4020,plain,( 94.95/12.36 $false), 94.95/12.36 inference(avatar_sat_refutation,[],[f1914,f2029,f2061,f2147,f2631,f2915,f2975,f3239,f3903,f3924,f4019])). 94.95/12.36 % SZS output end Proof for theBenchmark 94.95/12.36 % (26441)------------------------------ 94.95/12.36 % (26441)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 94.95/12.36 % (26441)Termination reason: Refutation 94.95/12.36 94.95/12.36 % (26441)Memory used [KB]: 10234 94.95/12.36 % (26441)Time elapsed: 1.789 s 94.95/12.36 % (26441)------------------------------ 94.95/12.36 % (26441)------------------------------ 94.95/12.37 % (26368)Success in time 12.02 s 94.95/12.38 EOF