0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 09:26:06 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.38 % (16125)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 0.11/0.38 % (16129)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 0.11/0.39 % (16146)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 0.17/0.39 % (16131)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.17/0.39 % (16126)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 0.17/0.39 % (16127)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 0.17/0.39 % (16141)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 0.17/0.39 % (16152)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 0.17/0.39 % (16132)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 0.17/0.39 % (16128)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 0.17/0.39 % (16138)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 0.17/0.39 % (16145)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 0.17/0.39 % (16150)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 0.17/0.40 % (16123)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 0.17/0.40 % (16149)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 0.17/0.40 % (16137)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 0.17/0.40 % (16130)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 0.17/0.40 % (16143)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 0.17/0.40 % (16144)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 0.17/0.40 % (16134)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 0.17/0.41 % (16147)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 0.17/0.41 % (16142)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 0.17/0.41 % (16140)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 0.17/0.41 % (16124)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 0.17/0.41 % (16135)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 0.17/0.41 % (16151)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 0.17/0.41 % (16136)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 0.17/0.41 % (16139)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 0.17/0.42 % (16148)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 0.17/0.43 % (16133)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 3.11/0.77 % (16137)Time limit reached! 3.11/0.77 % (16137)------------------------------ 3.11/0.77 % (16137)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.11/0.77 % (16137)Termination reason: Time limit 3.11/0.77 3.11/0.77 % (16137)Memory used [KB]: 7291 3.11/0.77 % (16137)Time elapsed: 0.411 s 3.11/0.77 % (16137)------------------------------ 3.11/0.77 % (16137)------------------------------ 3.59/0.81 % (16153)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 4.71/0.97 % (16125)Time limit reached! 4.71/0.97 % (16125)------------------------------ 4.71/0.97 % (16125)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.71/0.97 % (16125)Termination reason: Time limit 4.71/0.97 4.71/0.97 % (16125)Memory used [KB]: 12025 4.71/0.97 % (16125)Time elapsed: 0.612 s 4.71/0.97 % (16125)------------------------------ 4.71/0.97 % (16125)------------------------------ 5.02/1.00 % (16129)Time limit reached! 5.02/1.00 % (16129)------------------------------ 5.02/1.00 % (16129)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.02/1.02 % (16129)Termination reason: Time limit 5.02/1.02 5.02/1.02 % (16129)Memory used [KB]: 18038 5.02/1.02 % (16129)Time elapsed: 0.633 s 5.02/1.02 % (16129)------------------------------ 5.02/1.02 % (16129)------------------------------ 5.02/1.02 % (16154)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 5.02/1.03 % (16126)Time limit reached! 5.02/1.03 % (16126)------------------------------ 5.02/1.03 % (16126)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.02/1.03 % (16126)Termination reason: Time limit 5.02/1.03 5.02/1.03 % (16126)Memory used [KB]: 13688 5.02/1.03 % (16126)Time elapsed: 0.653 s 5.02/1.03 % (16126)------------------------------ 5.02/1.03 % (16126)------------------------------ 5.60/1.08 % (16155)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 5.60/1.09 % (16156)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 8.43/1.45 % (16156)Refutation not found, incomplete strategy 8.43/1.45 % (16156)------------------------------ 8.43/1.45 % (16156)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.43/1.46 % (16145)Time limit reached! 8.43/1.46 % (16145)------------------------------ 8.43/1.46 % (16145)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.43/1.46 % (16145)Termination reason: Time limit 8.43/1.46 % (16145)Termination phase: Saturation 8.43/1.46 8.43/1.46 % (16145)Memory used [KB]: 4605 8.43/1.46 % (16145)Time elapsed: 1.100 s 8.43/1.46 % (16145)------------------------------ 8.43/1.46 % (16145)------------------------------ 8.85/1.47 % (16156)Termination reason: Refutation not found, incomplete strategy 8.85/1.47 8.85/1.47 % (16156)Memory used [KB]: 11257 8.85/1.47 % (16156)Time elapsed: 0.412 s 8.85/1.47 % (16156)------------------------------ 8.85/1.47 % (16156)------------------------------ 8.85/1.51 % (16123)Time limit reached! 8.85/1.51 % (16123)------------------------------ 8.85/1.51 % (16123)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.85/1.51 % (16123)Termination reason: Time limit 8.85/1.51 % (16123)Termination phase: Function definition elimination 8.85/1.51 8.85/1.51 % (16123)Memory used [KB]: 1918 8.85/1.51 % (16123)Time elapsed: 0.500 s 8.85/1.51 % (16123)------------------------------ 8.85/1.51 % (16123)------------------------------ 8.85/1.52 % (16157)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 8.85/1.53 % (16158)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 9.48/1.57 % (16159)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 13.29/2.04 % (16135)Time limit reached! 13.29/2.04 % (16135)------------------------------ 13.29/2.04 % (16135)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.29/2.06 % (16124)Time limit reached! 13.29/2.06 % (16124)------------------------------ 13.29/2.06 % (16124)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.29/2.06 % (16124)Termination reason: Time limit 13.29/2.06 % (16124)Termination phase: Function definition elimination 13.29/2.06 13.29/2.06 % (16124)Memory used [KB]: 1918 13.29/2.06 % (16124)Time elapsed: 0.500 s 13.29/2.06 % (16124)------------------------------ 13.29/2.06 % (16124)------------------------------ 13.29/2.06 % (16135)Termination reason: Time limit 13.29/2.06 % (16135)Termination phase: Function definition elimination 13.29/2.06 13.29/2.06 % (16135)Memory used [KB]: 1918 13.29/2.06 % (16135)Time elapsed: 0.500 s 13.29/2.06 % (16135)------------------------------ 13.29/2.06 % (16135)------------------------------ 13.60/2.10 % (16160)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 13.60/2.11 % (16161)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 13.60/2.12 % (16134)Time limit reached! 13.60/2.12 % (16134)------------------------------ 13.60/2.12 % (16134)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.60/2.12 % (16134)Termination reason: Time limit 13.60/2.12 % (16134)Termination phase: Property scanning 13.60/2.12 13.60/2.12 % (16134)Memory used [KB]: 2046 13.60/2.12 % (16134)Time elapsed: 0.500 s 13.60/2.12 % (16134)------------------------------ 13.60/2.12 % (16134)------------------------------ 14.45/2.19 % (16162)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 16.42/2.45 % (16132)Time limit reached! 16.42/2.45 % (16132)------------------------------ 16.42/2.45 % (16132)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 16.76/2.47 % (16132)Termination reason: Time limit 16.76/2.47 % (16132)Termination phase: Function definition elimination 16.76/2.47 16.76/2.47 % (16132)Memory used [KB]: 1918 16.76/2.47 % (16132)Time elapsed: 0.600 s 16.76/2.47 % (16132)------------------------------ 16.76/2.47 % (16132)------------------------------ 16.76/2.51 % (16163)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 20.61/2.96 % (16136)Time limit reached! 20.61/2.96 % (16136)------------------------------ 20.61/2.96 % (16136)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 20.61/2.96 % (16136)Termination reason: Time limit 20.61/2.96 % (16136)Termination phase: Property scanning 20.61/2.96 20.61/2.96 % (16136)Memory used [KB]: 2046 20.61/2.96 % (16136)Time elapsed: 1.100 s 20.61/2.96 % (16136)------------------------------ 20.61/2.96 % (16136)------------------------------ 20.61/2.99 % (16164)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 22.10/3.16 % (16138)Time limit reached! 22.10/3.16 % (16138)------------------------------ 22.10/3.16 % (16138)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.10/3.16 % (16138)Termination reason: Time limit 22.10/3.16 % (16138)Termination phase: Property scanning 22.10/3.16 22.10/3.16 % (16138)Memory used [KB]: 2046 22.10/3.16 % (16138)Time elapsed: 1.0000 s 22.10/3.16 % (16138)------------------------------ 22.10/3.16 % (16138)------------------------------ 22.24/3.20 % (16164)Refutation not found, incomplete strategy 22.24/3.20 % (16164)------------------------------ 22.24/3.20 % (16164)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.24/3.20 % (16164)Termination reason: Refutation not found, incomplete strategy 22.24/3.20 22.24/3.20 % (16164)Memory used [KB]: 11641 22.24/3.20 % (16164)Time elapsed: 0.231 s 22.24/3.20 % (16164)------------------------------ 22.24/3.20 % (16164)------------------------------ 22.73/3.23 % (16165)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 22.73/3.23 % (16166)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 23.06/3.33 % (16141)Time limit reached! 23.06/3.33 % (16141)------------------------------ 23.06/3.33 % (16141)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.06/3.33 % (16141)Termination reason: Time limit 23.06/3.33 % (16141)Termination phase: Property scanning 23.06/3.33 23.06/3.33 % (16141)Memory used [KB]: 2046 23.06/3.33 % (16141)Time elapsed: 0.900 s 23.06/3.33 % (16141)------------------------------ 23.06/3.33 % (16141)------------------------------ 24.08/3.41 % (16167)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 25.33/3.59 % (16144)Time limit reached! 25.33/3.59 % (16144)------------------------------ 25.33/3.59 % (16144)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.33/3.60 % (16144)Termination reason: Time limit 25.33/3.60 % (16144)Termination phase: Saturation 25.33/3.60 25.33/3.60 % (16144)Memory used [KB]: 43240 25.33/3.60 % (16144)Time elapsed: 3.200 s 25.33/3.60 % (16144)------------------------------ 25.33/3.60 % (16144)------------------------------ 25.33/3.61 % (16163)Time limit reached! 25.33/3.61 % (16163)------------------------------ 25.33/3.61 % (16163)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.33/3.61 % (16163)Termination reason: Time limit 25.33/3.61 25.33/3.61 % (16163)Memory used [KB]: 11513 25.33/3.61 % (16163)Time elapsed: 1.113 s 25.33/3.61 % (16163)------------------------------ 25.33/3.61 % (16163)------------------------------ 25.99/3.66 % (16168)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 25.99/3.67 % (16140)Time limit reached! 25.99/3.67 % (16140)------------------------------ 25.99/3.67 % (16140)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.99/3.67 % (16140)Termination reason: Time limit 25.99/3.67 25.99/3.67 % (16140)Memory used [KB]: 28784 25.99/3.67 % (16140)Time elapsed: 3.303 s 25.99/3.67 % (16140)------------------------------ 25.99/3.67 % (16140)------------------------------ 25.99/3.68 % (16169)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 25.99/3.69 % (16128)Time limit reached! 25.99/3.69 % (16128)------------------------------ 25.99/3.69 % (16128)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.99/3.69 % (16128)Termination reason: Time limit 25.99/3.69 % (16128)Termination phase: Property scanning 25.99/3.69 25.99/3.69 % (16128)Memory used [KB]: 2046 25.99/3.69 % (16128)Time elapsed: 1.600 s 25.99/3.69 % (16128)------------------------------ 25.99/3.69 % (16128)------------------------------ 26.42/3.71 % (16162)Time limit reached! 26.42/3.71 % (16162)------------------------------ 26.42/3.71 % (16162)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.42/3.71 % (16162)Termination reason: Time limit 26.42/3.71 % (16162)Termination phase: Saturation 26.42/3.71 26.42/3.71 % (16162)Memory used [KB]: 17782 26.42/3.71 % (16162)Time elapsed: 1.300 s 26.42/3.71 % (16162)------------------------------ 26.42/3.71 % (16162)------------------------------ 26.42/3.74 % (16171)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 26.42/3.74 % (16170)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 26.84/3.75 % (16172)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 26.89/3.82 % (16142)Time limit reached! 26.89/3.82 % (16142)------------------------------ 26.89/3.82 % (16142)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.89/3.82 % (16142)Termination reason: Time limit 26.89/3.82 % (16142)Termination phase: Property scanning 26.89/3.82 26.89/3.82 % (16142)Memory used [KB]: 2046 26.89/3.82 % (16142)Time elapsed: 1.100 s 26.89/3.82 % (16142)------------------------------ 26.89/3.82 % (16142)------------------------------ 27.55/3.85 % (16155)Time limit reached! 27.55/3.85 % (16155)------------------------------ 27.55/3.85 % (16155)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.55/3.85 % (16155)Termination reason: Time limit 27.55/3.85 % (16155)Termination phase: Saturation 27.55/3.85 27.55/3.85 % (16155)Memory used [KB]: 19701 27.55/3.85 % (16155)Time elapsed: 2.823 s 27.55/3.85 % (16155)------------------------------ 27.55/3.85 % (16155)------------------------------ 27.86/3.86 % (16161)Refutation found. Thanks to Tanya! 27.86/3.86 % SZS status Theorem for theBenchmark 27.86/3.86 % SZS output start Proof for theBenchmark 27.86/3.86 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 27.86/3.86 tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o'). 27.86/3.86 tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 27.86/3.86 tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'). 27.86/3.86 tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i'). 27.86/3.86 tff(func_def_8, type, in: '$i' -> '$i' -> '$o'). 27.86/3.86 tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o'). 27.86/3.86 tff(func_def_11, type, union: '$i' -> '$i'). 27.86/3.86 tff(func_def_12, type, power: '$i' -> '$i'). 27.86/3.86 tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i'). 27.86/3.86 tff(func_def_14, type, d_Union_closed: '$i' -> '$o'). 27.86/3.86 tff(func_def_15, type, d_Power_closed: '$i' -> '$o'). 27.86/3.86 tff(func_def_16, type, d_Repl_closed: '$i' -> '$o'). 27.86/3.86 tff(func_def_17, type, d_ZF_closed: '$i' -> '$o'). 27.86/3.86 tff(func_def_18, type, univof: '$i' -> '$i'). 27.86/3.86 tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i'). 27.86/3.86 tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o'). 27.86/3.86 tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i'). 27.86/3.86 tff(func_def_22, type, d_Sing: '$i' -> '$i'). 27.86/3.87 tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i'). 27.86/3.87 tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i'). 27.86/3.87 tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i'). 27.86/3.87 tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_30, type, ordsucc: '$i' -> '$i'). 27.86/3.87 tff(func_def_31, type, nat_p: '$i' -> '$o'). 27.86/3.87 tff(func_def_33, type, d_Inj1: '$i' -> '$i'). 27.86/3.87 tff(func_def_34, type, d_Inj0: '$i' -> '$i'). 27.86/3.87 tff(func_def_35, type, d_Unj: '$i' -> '$i'). 27.86/3.87 tff(func_def_36, type, pair: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_37, type, proj0: '$i' -> '$i'). 27.86/3.87 tff(func_def_38, type, proj1: '$i' -> '$i'). 27.86/3.87 tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i'). 27.86/3.87 tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_41, type, ap: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_42, type, pair_p: '$i' -> '$o'). 27.86/3.87 tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i'). 27.86/3.87 tff(func_def_44, type, imp: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_45, type, d_not: '$o' -> '$o'). 27.86/3.87 tff(func_def_46, type, wel: '$o' -> '$o'). 27.86/3.87 tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_51, type, orec: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o'). 27.86/3.87 tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i'). 27.86/3.87 tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_86, type, empty: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o'). 27.86/3.87 tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 27.86/3.87 tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_108, type, nis: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o'). 27.86/3.87 tff(func_def_114, type, cond1: '$i' -> '$o'). 27.86/3.87 tff(func_def_115, type, cond2: '$i' -> '$o'). 27.86/3.87 tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i'). 27.86/3.87 tff(func_def_117, type, d_22_prop1: '$i' -> '$o'). 27.86/3.87 tff(func_def_118, type, d_23_prop1: '$i' -> '$o'). 27.86/3.87 tff(func_def_119, type, d_24_prop1: '$i' -> '$o'). 27.86/3.87 tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_122, type, prop4: '$i' -> '$o'). 27.86/3.87 tff(func_def_123, type, d_24_g: '$i' -> '$i'). 27.86/3.87 tff(func_def_124, type, plus: '$i' -> '$i'). 27.86/3.87 tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i'). 27.86/3.87 tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_132, type, iii: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o'). 27.86/3.87 tff(func_def_136, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 27.86/3.87 tff(func_def_137, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 27.86/3.87 tff(func_def_138, type, vIMP: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_139, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 27.86/3.87 tff(func_def_140, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 27.86/3.87 tff(func_def_143, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 27.86/3.87 tff(func_def_144, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 27.86/3.87 tff(func_def_145, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 27.86/3.87 tff(func_def_146, type, vAND: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_147, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 27.86/3.87 tff(func_def_148, type, vNOT: '$o' -> '$o'). 27.86/3.87 tff(func_def_149, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 27.86/3.87 tff(func_def_150, type, vOR: '$o' -> '$o' -> '$o'). 27.86/3.87 tff(func_def_151, type, sK0: ('$i' -> '$o') -> '$i'). 27.86/3.87 tff(func_def_152, type, sK1: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 27.86/3.87 tff(func_def_154, type, sK3: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.86/3.87 tff(f2,axiom,( 27.86/3.87 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)). 27.86/3.87 tff(f33,axiom,( 27.86/3.87 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)). 27.86/3.87 tff(f39,axiom,( 27.86/3.87 l_or = (^[X0 : '$o'] : imp @ (d_not @ X0))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)). 27.86/3.87 tff(f96,axiom,( 27.86/3.87 e_is @ nat = n_is), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)). 27.86/3.87 tff(f97,axiom,( 27.86/3.87 nis = (^[X0 : '$i', X1 : '$i'] : d_not @ (n_is @ X0 @ X1))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nis)). 27.86/3.87 tff(f131,axiom,( 27.86/3.87 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) => X1 @ X2)), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estie)). 27.86/3.87 tff(f135,axiom,( 27.86/3.87 ! [X0] : all_of @ (^[X1 : '$i'] : in @ X1 @ X0) @ (^[X1 : '$i'] : e_is @ X0 @ X1 @ X1)), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refis)). 27.86/3.87 tff(f154,axiom,( 27.86/3.87 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : all_of @ (^[X3 : '$i'] : in @ X3 @ X0) @ (^[X3 : '$i'] : X1 @ X2 => (e_is @ X0 @ X2 @ X3 => X1 @ X3)))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_isp)). 27.86/3.87 tff(f164,axiom,( 27.86/3.87 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X2 : '$i'] : X1 @ X2 => esti @ X0 @ X2 @ (d_Sep @ X0 @ X1))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estii)). 27.86/3.87 tff(f186,axiom,( 27.86/3.87 d_29_ii = (^[X0 : '$i', X1 : '$i'] : n_some @ (diffprop @ X0 @ X1))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii)). 27.86/3.87 tff(f189,axiom,( 27.86/3.87 moreis = (^[X0 : '$i', X1 : '$i'] : l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis)). 27.86/3.87 tff(f190,axiom,( 27.86/3.87 lessis = (^[X0 : '$i', X1 : '$i'] : l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)). 27.86/3.87 tff(f193,axiom,( 27.86/3.87 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X0 @ X1 => d_not @ (moreis @ X0 @ X1)))), 27.86/3.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10h)). 27.86/3.89 tff(f198,axiom,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X0 @ X1 => iii @ X1 @ X0))), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz11)). 27.86/3.89 tff(f209,axiom,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X0 @ X1 => d_29_ii @ X1 @ X0))), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz12)). 27.86/3.89 tff(f216,axiom,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (d_29_ii @ X0 @ X1) => lessis @ X0 @ X1))), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10e)). 27.86/3.89 tff(f218,axiom,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (moreis @ X0 @ X1) => iii @ X0 @ X1))), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10j)). 27.86/3.89 tff(f219,conjecture,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (lessis @ X0 @ X1) => d_29_ii @ X0 @ X1))), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10k)). 27.86/3.89 tff(f220,negated_conjecture,( 27.86/3.89 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (lessis @ X0 @ X1) => d_29_ii @ X0 @ X1))), 27.86/3.89 inference(negated_conjecture,[],[f219])). 27.86/3.89 tff(f227,axiom,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : nis @ (ordsucc @ X0) @ X0)), 27.86/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz2)). 27.86/3.89 tff(f229,plain,( 27.86/3.89 ~all_of @ (^[X0 : '$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))), 27.86/3.89 inference(rectify,[],[f220])). 27.86/3.89 tff(f230,plain,( 27.86/3.89 ~(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)) = $true)), 27.86/3.89 inference(fool_elimination,[],[f229])). 27.86/3.89 tff(f322,plain,( 27.86/3.89 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 27.86/3.89 inference(fool_elimination,[],[f190])). 27.86/3.89 tff(f323,plain,( 27.86/3.89 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ d_29_ii)) @ n_is = moreis), 27.86/3.89 inference(fool_elimination,[],[f189])). 27.86/3.89 tff(f325,plain,( 27.86/3.89 bCOMB @ imp @ d_not = l_or), 27.86/3.89 inference(fool_elimination,[],[f39])). 27.86/3.89 tff(f338,plain,( 27.86/3.89 bCOMB @ (bCOMB @ n_some) @ diffprop = d_29_ii), 27.86/3.89 inference(fool_elimination,[],[f186])). 27.86/3.89 tff(f342,plain,( 27.86/3.89 bCOMB @ (bCOMB @ d_not) @ n_is = nis), 27.86/3.89 inference(fool_elimination,[],[f97])). 27.86/3.89 tff(f347,plain,( 27.86/3.89 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 27.86/3.89 inference(rectify,[],[f33])). 27.86/3.89 tff(f348,plain,( 27.86/3.89 imp = vIMP), 27.86/3.89 inference(fool_elimination,[],[f347])). 27.86/3.89 tff(f364,plain,( 27.86/3.89 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 27.86/3.89 inference(rectify,[],[f2])). 27.86/3.89 tff(f365,plain,( 27.86/3.89 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 27.86/3.89 inference(fool_elimination,[],[f364])). 27.86/3.89 tff(f388,plain,( 27.86/3.89 ! [X0] : all_of @ (^[X1 : '$i'] : in @ X1 @ X0) @ (^[X2 : '$i'] : e_is @ X0 @ X2 @ X2)), 27.86/3.89 inference(rectify,[],[f135])). 27.86/3.89 tff(f389,plain,( 27.86/3.89 ! [X0] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)), 27.86/3.89 inference(fool_elimination,[],[f388])). 27.86/3.89 tff(f410,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : X1 @ X3 => esti @ X0 @ X3 @ (d_Sep @ X0 @ X1))), 27.86/3.89 inference(rectify,[],[f164])). 27.86/3.89 tff(f411,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)), 27.86/3.89 inference(fool_elimination,[],[f410])). 27.86/3.89 tff(f414,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : esti @ X0 @ X3 @ (d_Sep @ X0 @ X1) => X1 @ X3)), 27.86/3.89 inference(rectify,[],[f131])). 27.86/3.89 tff(f415,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)), 27.86/3.89 inference(fool_elimination,[],[f414])). 27.86/3.89 tff(f420,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : all_of @ (^[X2 : '$i'] : in @ X2 @ X0) @ (^[X3 : '$i'] : all_of @ (^[X4 : '$i'] : in @ X4 @ X0) @ (^[X5 : '$i'] : X1 @ X3 => (e_is @ X0 @ X3 @ X5 => X1 @ X5)))), 27.86/3.89 inference(rectify,[],[f154])). 27.86/3.89 tff(f421,plain,( 27.86/3.89 ! [X0,X1 : '$i' -> '$o'] : (all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)), 27.86/3.89 inference(fool_elimination,[],[f420])). 27.86/3.89 tff(f482,plain,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : nis @ (ordsucc @ X1) @ X1)), 27.86/3.89 inference(rectify,[],[f227])). 27.86/3.89 tff(f483,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ nis @ ordsucc) @ iCOMB) = $true)), 27.86/3.89 inference(fool_elimination,[],[f482])). 27.86/3.89 tff(f530,plain,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X1 @ X3 => d_29_ii @ X3 @ X1))), 27.86/3.89 inference(rectify,[],[f209])). 27.86/3.89 tff(f531,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 27.86/3.89 inference(fool_elimination,[],[f530])). 27.86/3.89 tff(f532,plain,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X1 @ X3 => iii @ X3 @ X1))), 27.86/3.89 inference(rectify,[],[f198])). 27.86/3.89 tff(f533,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 27.86/3.89 inference(fool_elimination,[],[f532])). 27.86/3.89 tff(f536,plain,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X1 @ X3 => d_not @ (moreis @ X1 @ X3)))), 27.86/3.89 inference(rectify,[],[f193])). 27.86/3.89 tff(f537,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 27.86/3.89 inference(fool_elimination,[],[f536])). 27.86/3.89 tff(f540,plain,( 27.86/3.89 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (moreis @ X1 @ X3) => iii @ X1 @ X3))), 27.86/3.89 inference(rectify,[],[f218])). 27.86/3.89 tff(f541,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 27.86/3.89 inference(fool_elimination,[],[f540])). 27.86/3.89 tff(f542,plain,( 27.86/3.89 all_of @ (^[X0 : '$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))), 27.86/3.89 inference(rectify,[],[f216])). 27.86/3.89 tff(f543,plain,( 27.86/3.89 (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)), 27.86/3.89 inference(fool_elimination,[],[f542])). 27.86/3.89 tff(f560,plain,( 27.86/3.89 (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)), 27.86/3.89 inference(flattening,[],[f230])). 27.86/3.89 tff(f573,plain,( 27.86/3.89 (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)) != $true)), 27.86/3.89 inference(cnf_transformation,[],[f560])). 27.86/3.89 tff(f590,plain,( 27.86/3.89 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (bCOMB @ (all_of @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )), 27.86/3.89 inference(cnf_transformation,[],[f421])). 27.86/3.89 tff(f591,plain,( 27.86/3.89 (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)), 27.86/3.89 inference(cnf_transformation,[],[f543])). 27.86/3.89 tff(f593,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 27.86/3.89 inference(cnf_transformation,[],[f533])). 27.86/3.89 tff(f594,plain,( 27.86/3.89 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ d_29_ii))) = $true)), 27.86/3.89 inference(cnf_transformation,[],[f531])). 27.86/3.89 tff(f599,plain,( 27.86/3.89 bCOMB @ (bCOMB @ n_some) @ diffprop = d_29_ii), 27.86/3.89 inference(cnf_transformation,[],[f338])). 27.86/3.89 % (16173)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 27.86/3.90 tff(f600,plain,( 27.86/3.90 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ d_29_ii)) @ n_is = moreis), 27.86/3.90 inference(cnf_transformation,[],[f323])). 27.86/3.90 tff(f603,plain,( 27.86/3.90 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 27.86/3.90 inference(cnf_transformation,[],[f322])). 27.86/3.90 tff(f605,plain,( 27.86/3.90 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 27.86/3.90 inference(cnf_transformation,[],[f541])). 27.86/3.90 tff(f606,plain,( 27.86/3.90 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 27.86/3.90 inference(cnf_transformation,[],[f537])). 27.86/3.90 tff(f609,plain,( 27.86/3.90 bCOMB @ (bCOMB @ d_not) @ n_is = nis), 27.86/3.90 inference(cnf_transformation,[],[f342])). 27.86/3.90 tff(f610,plain,( 27.86/3.90 bCOMB @ imp @ d_not = l_or), 27.86/3.90 inference(cnf_transformation,[],[f325])). 27.86/3.90 tff(f616,plain,( 27.86/3.90 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)) )), 27.86/3.90 inference(cnf_transformation,[],[f415])). 27.86/3.90 tff(f617,plain,( 27.86/3.90 ( ! [X0,X1:'$i' -> '$o'] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)) )), 27.86/3.90 inference(cnf_transformation,[],[f411])). 27.86/3.90 tff(f618,plain,( 27.86/3.90 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 27.86/3.90 inference(cnf_transformation,[],[f365])). 27.86/3.90 tff(f619,plain,( 27.86/3.90 imp = vIMP), 27.86/3.90 inference(cnf_transformation,[],[f348])). 27.86/3.90 tff(f626,plain,( 27.86/3.90 (all_of @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ nis @ ordsucc) @ iCOMB) = $true)), 27.86/3.90 inference(cnf_transformation,[],[f483])). 27.86/3.90 tff(f628,plain,( 27.86/3.90 e_is @ nat = n_is), 27.86/3.90 inference(cnf_transformation,[],[f96])). 27.86/3.90 % (16174)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 27.86/3.90 tff(f629,plain,( 27.86/3.90 ( ! [X0] : ((all_of @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)) )), 27.86/3.90 inference(cnf_transformation,[],[f389])). 27.86/3.90 tff(f630,plain,( 27.86/3.90 bCOMB @ vIMP @ d_not = l_or), 27.86/3.90 inference(definition_unfolding,[],[f610,f619])). 27.86/3.90 tff(f631,plain,( 27.86/3.90 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat) = moreis), 27.86/3.90 inference(definition_unfolding,[],[f600,f630,f599,f628])). 27.86/3.90 tff(f632,plain,( 27.86/3.90 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat) = lessis), 27.86/3.90 inference(definition_unfolding,[],[f603,f630,f628])). 27.86/3.90 tff(f633,plain,( 27.86/3.90 bCOMB @ (bCOMB @ d_not) @ (e_is @ nat) = nis), 27.86/3.90 inference(definition_unfolding,[],[f609,f628])). 27.86/3.90 tff(f636,plain,( 27.86/3.90 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) != $true)), 27.86/3.90 inference(definition_unfolding,[],[f573,f618,f618,f632,f599])). 27.86/3.91 tff(f645,plain,( 27.86/3.91 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) = $true)) )), 27.86/3.91 inference(definition_unfolding,[],[f590,f618,f618])). 27.86/3.91 tff(f646,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat)))) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f591,f618,f618,f599,f632])). 27.86/3.91 tff(f648,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (cCOMB @ iii))) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f593,f618,f618,f599])). 27.86/3.91 tff(f649,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f594,f618,f618,f599])). 27.86/3.91 tff(f657,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat))))) @ iii)) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f605,f618,f618,f631])). 27.86/3.91 tff(f658,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat))))) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f606,f618,f618,f631])). 27.86/3.91 tff(f664,plain,( 27.86/3.91 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) = $true)) )), 27.86/3.91 inference(definition_unfolding,[],[f616,f618])). 27.86/3.91 tff(f665,plain,( 27.86/3.91 ( ! [X0,X1:'$i' -> '$o'] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) = $true)) )), 27.86/3.91 inference(definition_unfolding,[],[f617,f618])). 27.86/3.91 tff(f671,plain,( 27.86/3.91 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ nat) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB) = $true)), 27.86/3.91 inference(definition_unfolding,[],[f626,f618,f633])). 27.86/3.91 tff(f673,plain,( 27.86/3.91 ( ! [X0] : ((bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) @ (cCOMB @ in @ X0) @ (sCOMB @ (e_is @ X0) @ iCOMB) = $true)) )), 27.86/3.91 inference(definition_unfolding,[],[f629,f618])). 27.86/3.91 tff(f674,plain,( 27.86/3.91 ( ! [X0] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (e_is @ X0) @ iCOMB)) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f673])). 27.86/3.91 tff(f675,plain,( 27.86/3.91 ( ! [X0,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (e_is @ X0) @ iCOMB) @ X1 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f674])). 27.86/3.91 tff(f676,plain,( 27.86/3.91 ( ! [X0,X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ X0)) @ (e_is @ X0 @ X1 @ X1) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f675])). 27.86/3.91 tff(f677,plain,( 27.86/3.91 ( ! [X0,X1] : ((is_of @ X1 @ (cCOMB @ in @ X0) = $false) | (e_is @ X0 @ X1 @ X1 = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f676])). 27.86/3.91 tff(f682,plain,( 27.86/3.91 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB)) = $true)), 27.86/3.91 inference(combinator_demodulation,[],[f671])). 27.86/3.91 tff(f683,plain,( 27.86/3.91 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ d_not) @ (e_is @ nat)) @ ordsucc) @ iCOMB) @ X1 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f682])). 27.86/3.91 tff(f684,plain,( 27.86/3.91 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (d_not @ (e_is @ nat @ (ordsucc @ X1) @ X1)) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f683])). 27.86/3.91 tff(f685,plain,( 27.86/3.91 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (e_is @ nat @ (ordsucc @ X1) @ X1) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f684])). 27.86/3.91 tff(f709,plain,( 27.86/3.91 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1)))) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f665])). 27.86/3.91 tff(f710,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ X1) @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X2 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f709])). 27.86/3.91 tff(f711,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vIMP @ (X1 @ X2) @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1))) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f710])). 27.86/3.91 tff(f712,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (X1 @ X2) @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f711])). 27.86/3.91 tff(f713,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f712])). 27.86/3.91 tff(f714,plain,( 27.86/3.91 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1)) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f664])). 27.86/3.91 tff(f715,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (esti @ X0) @ (d_Sep @ X0 @ X1))) @ X1) @ X2 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f714])). 27.86/3.91 tff(f716,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vIMP @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) @ (X1 @ X2)) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f715])). 27.86/3.91 tff(f717,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1)) @ (X1 @ X2) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f716])). 27.86/3.91 tff(f718,plain,( 27.86/3.91 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (esti @ X0 @ X2 @ (d_Sep @ X0 @ X1) = $false) | (X1 @ X2 = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f717])). 27.86/3.91 tff(f765,plain,( 27.86/3.91 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat)))))) = $true)), 27.86/3.91 inference(combinator_demodulation,[],[f658])). 27.86/3.91 tff(f766,plain,( 27.86/3.91 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat))))) @ X1 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f765])). 27.86/3.91 tff(f767,plain,( 27.86/3.91 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1)))))) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f766])). 27.86/3.91 tff(f768,plain,( 27.86/3.91 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1))))) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f767])). 27.86/3.91 tff(f769,plain,( 27.86/3.91 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1)))) @ X2 = $true)) )), 27.86/3.91 inference(pi_clausification,[],[f768])). 27.86/3.91 tff(f770,plain,( 27.86/3.91 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (iii @ X1 @ X2) @ (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2)))) = $true)) )), 27.86/3.91 inference(combinator_demodulation,[],[f769])). 27.86/3.91 tff(f771,plain,( 27.86/3.91 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (iii @ X1 @ X2) @ (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2))) = $true)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f770])). 27.86/3.91 tff(f772,plain,( 27.86/3.91 ( ! [X2,X1] : ((d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2)) = $true) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (iii @ X1 @ X2 = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false)) )), 27.86/3.91 inference(binary_proxy_clausification,[],[f771])). 27.86/3.92 tff(f773,plain,( 27.86/3.92 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat))))) @ iii))) = $true)), 27.86/3.92 inference(combinator_demodulation,[],[f657])). 27.86/3.92 tff(f774,plain,( 27.86/3.92 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (e_is @ nat))))) @ iii)) @ X1 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f773])). 27.86/3.92 tff(f775,plain,( 27.86/3.92 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1)))) @ (iii @ X1)))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f774])). 27.86/3.92 tff(f776,plain,( 27.86/3.92 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1)))) @ (iii @ X1))) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f775])). 27.86/3.92 tff(f777,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (bCOMB @ n_some @ (diffprop @ X1))) @ (e_is @ nat @ X1)))) @ (iii @ X1)) @ X2 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f776])). 27.86/3.92 tff(f778,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2))) @ (iii @ X1 @ X2)) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f777])). 27.86/3.92 tff(f779,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2))) @ (iii @ X1 @ X2) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f778])). 27.86/3.92 tff(f780,plain,( 27.86/3.92 ( ! [X2,X1] : ((d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (e_is @ nat @ X1 @ X2)) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (iii @ X1 @ X2 = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f779])). 27.86/3.92 tff(f843,plain,( 27.86/3.92 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop))))) = $true)), 27.86/3.92 inference(combinator_demodulation,[],[f649])). 27.86/3.92 tff(f844,plain,( 27.86/3.92 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) @ X1 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f843])). 27.86/3.92 tff(f845,plain,( 27.86/3.92 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop) @ X1)))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f844])). 27.86/3.92 tff(f846,plain,( 27.86/3.92 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop) @ X1))) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f845])). 27.86/3.92 tff(f847,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ n_some) @ diffprop) @ X1)) @ X2 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f846])). 27.86/3.92 tff(f848,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (iii @ X1 @ X2) @ (n_some @ (diffprop @ X2 @ X1))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f847])). 27.86/3.92 tff(f849,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (iii @ X1 @ X2) @ (n_some @ (diffprop @ X2 @ X1)) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f848])). 27.86/3.92 tff(f850,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (iii @ X1 @ X2 = $false) | (n_some @ (diffprop @ X2 @ X1) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f849])). 27.86/3.92 tff(f851,plain,( 27.86/3.92 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (cCOMB @ iii)))) = $true)), 27.86/3.92 inference(combinator_demodulation,[],[f648])). 27.86/3.92 tff(f852,plain,( 27.86/3.92 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ (cCOMB @ iii))) @ X1 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f851])). 27.86/3.92 tff(f853,plain,( 27.86/3.92 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (diffprop @ X1))) @ (cCOMB @ iii @ X1)))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f852])). 27.86/3.92 tff(f854,plain,( 27.86/3.92 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (diffprop @ X1))) @ (cCOMB @ iii @ X1))) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f853])). 27.86/3.92 tff(f855,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ n_some @ (diffprop @ X1))) @ (cCOMB @ iii @ X1)) @ X2 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f854])). 27.86/3.92 tff(f856,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (n_some @ (diffprop @ X1 @ X2)) @ (iii @ X2 @ X1)) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f855])). 27.86/3.92 tff(f857,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (n_some @ (diffprop @ X1 @ X2)) @ (iii @ X2 @ X1) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f856])). 27.86/3.92 tff(f858,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ X1 @ X2) = $false) | (iii @ X2 @ X1 = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f857])). 27.86/3.92 tff(f867,plain,( 27.86/3.92 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat))))) = $true)), 27.86/3.92 inference(combinator_demodulation,[],[f646])). 27.86/3.92 tff(f868,plain,( 27.86/3.92 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat)))) @ X1 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f867])). 27.86/3.92 tff(f869,plain,( 27.86/3.92 ( ! [X1] : ((vIMP @ (is_of @ X1 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (diffprop @ X1)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ X1)) @ (e_is @ nat @ X1))))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f868])). 27.86/3.92 tff(f870,plain,( 27.86/3.92 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (diffprop @ X1)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ X1)) @ (e_is @ nat @ X1)))) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f869])). 27.86/3.92 tff(f871,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (bCOMB @ n_some @ (diffprop @ X1)))) @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ X1)) @ (e_is @ nat @ X1))) @ X2 = $true)) )), 27.86/3.92 inference(pi_clausification,[],[f870])). 27.86/3.92 tff(f872,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (is_of @ X2 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (e_is @ nat @ X1 @ X2))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f871])). 27.86/3.92 tff(f873,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (vIMP @ (d_not @ (n_some @ (diffprop @ X1 @ X2))) @ (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (e_is @ nat @ X1 @ X2)) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f872])). 27.86/3.92 tff(f874,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ X1 @ X2)) = $false) | (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (e_is @ nat @ X1 @ X2) = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f873])). 27.86/3.92 tff(f875,plain,( 27.86/3.92 ( ! [X2,X1] : ((is_of @ X2 @ (cCOMB @ in @ nat) = $false) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ X1 @ X2)) = $false) | (d_not @ (iii @ X1 @ X2) = $false) | (e_is @ nat @ X1 @ X2 = $true)) )), 27.86/3.92 inference(binary_proxy_clausification,[],[f874])). 27.86/3.92 tff(f876,plain,( 27.86/3.92 ( ! [X0,X1:'$i' -> '$o'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1)))) = $true)) )), 27.86/3.92 inference(combinator_demodulation,[],[f645])). 27.86/3.93 tff(f877,plain,( 27.86/3.93 ( ! [X2,X0,X1:'$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ X1)) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (e_is @ X0))) @ X1))) @ X2 = $true)) )), 27.86/3.93 inference(pi_clausification,[],[f876])). 27.86/3.93 tff(f878,plain,( 27.86/3.93 ( ! [X2,X0,X1:'$i' -> '$o'] : ((vIMP @ (is_of @ X2 @ (cCOMB @ in @ X0)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)))) = $true)) )), 27.86/3.93 inference(combinator_demodulation,[],[f877])). 27.86/3.93 tff(f879,plain,( 27.86/3.93 ( ! [X2,X0,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1))) = $true)) )), 27.86/3.93 inference(binary_proxy_clausification,[],[f878])). 27.86/3.93 tff(f880,plain,( 27.86/3.93 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ X0))) @ (bCOMB @ (vIMP @ (X1 @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (e_is @ X0 @ X2)) @ X1)) @ X3 = $true)) )), 27.86/3.93 inference(pi_clausification,[],[f879])). 27.86/3.93 tff(f881,plain,( 27.86/3.93 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (is_of @ X3 @ (cCOMB @ in @ X0)) @ (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3))) = $true)) )), 27.86/3.93 inference(combinator_demodulation,[],[f880])). 27.86/3.93 tff(f882,plain,( 27.86/3.93 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (vIMP @ (X1 @ X2) @ (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3)) = $true)) )), 27.86/3.93 inference(binary_proxy_clausification,[],[f881])). 27.86/3.93 tff(f883,plain,( 27.86/3.93 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (vIMP @ (e_is @ X0 @ X2 @ X3) @ (X1 @ X3) = $true)) )), 27.86/3.93 inference(binary_proxy_clausification,[],[f882])). 27.86/3.93 tff(f884,plain,( 27.86/3.93 ( ! [X2,X0,X3,X1:'$i' -> '$o'] : ((is_of @ X3 @ (cCOMB @ in @ X0) = $false) | (is_of @ X2 @ (cCOMB @ in @ X0) = $false) | (X1 @ X2 = $false) | (e_is @ X0 @ X2 @ X3 = $false) | (X1 @ X3 = $true)) )), 27.86/3.93 inference(binary_proxy_clausification,[],[f883])). 27.86/3.93 tff(f949,plain,( 27.86/3.93 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ n_some) @ diffprop)))) != $true)), 27.86/3.93 inference(combinator_demodulation,[],[f636])). 27.86/3.93 tff(f950,plain,( 27.86/3.93 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ iii)) @ (e_is @ nat))))) @ (bCOMB @ (bCOMB @ n_some) @ diffprop))) @ sK4 = $false)), 27.86/3.93 inference(sigma_clausification,[],[f949])). 27.86/3.93 tff(f951,plain,( 27.86/3.93 (vIMP @ (is_of @ sK4 @ (cCOMB @ in @ nat)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ sK4)) @ (e_is @ nat @ sK4)))) @ (bCOMB @ n_some @ (diffprop @ sK4))))) = $false)), 27.86/3.93 inference(combinator_demodulation,[],[f950])). 27.86/3.94 tff(f952,plain,( 27.86/3.94 (is_of @ sK4 @ (cCOMB @ in @ nat) = $true)), 27.86/3.94 inference(binary_proxy_clausification,[],[f951])). 27.86/3.94 tff(f953,plain,( 27.86/3.94 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ sK4)) @ (e_is @ nat @ sK4)))) @ (bCOMB @ n_some @ (diffprop @ sK4)))) = $false)), 27.86/3.94 inference(binary_proxy_clausification,[],[f951])). 27.86/3.94 tff(f954,plain,( 27.86/3.94 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ is_of @ (cCOMB @ in @ nat))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (sCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not) @ (iii @ sK4)) @ (e_is @ nat @ sK4)))) @ (bCOMB @ n_some @ (diffprop @ sK4))) @ sK5 = $false)), 27.86/3.94 inference(sigma_clausification,[],[f953])). 27.86/3.94 tff(f955,plain,( 27.86/3.94 (vIMP @ (is_of @ sK5 @ (cCOMB @ in @ nat)) @ (vIMP @ (d_not @ (vIMP @ (d_not @ (iii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5))) @ (n_some @ (diffprop @ sK4 @ sK5))) = $false)), 27.86/3.94 inference(combinator_demodulation,[],[f954])). 27.86/3.94 tff(f956,plain,( 27.86/3.94 (is_of @ sK5 @ (cCOMB @ in @ nat) = $true)), 27.86/3.94 inference(binary_proxy_clausification,[],[f955])). 27.86/3.94 tff(f957,plain,( 27.86/3.94 (vIMP @ (d_not @ (vIMP @ (d_not @ (iii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5))) @ (n_some @ (diffprop @ sK4 @ sK5)) = $false)), 27.86/3.94 inference(binary_proxy_clausification,[],[f955])). 27.86/3.94 tff(f958,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ (iii @ sK4 @ sK5)) @ (e_is @ nat @ sK4 @ sK5)) = $true)), 27.86/3.94 inference(binary_proxy_clausification,[],[f957])). 27.86/3.94 tff(f959,plain,( 27.86/3.94 (n_some @ (diffprop @ sK4 @ sK5) = $false)), 27.86/3.94 inference(binary_proxy_clausification,[],[f957])). 27.86/3.94 tff(f1034,plain,( 27.86/3.94 ($false = $true) | (e_is @ nat @ sK4 @ sK4 = $true)), 27.86/3.94 inference(superposition,[],[f677,f952])). 27.86/3.94 tff(f1035,plain,( 27.86/3.94 ($false = $true) | (e_is @ nat @ sK5 @ sK5 = $true)), 27.86/3.94 inference(superposition,[],[f677,f956])). 27.86/3.94 tff(f1040,plain,( 27.86/3.94 (e_is @ nat @ sK5 @ sK5 = $true)), 27.86/3.94 inference(trivial_inequality_removal,[],[f1035])). 27.86/3.94 tff(f1041,plain,( 27.86/3.94 (e_is @ nat @ sK4 @ sK4 = $true)), 27.86/3.94 inference(trivial_inequality_removal,[],[f1034])). 27.86/3.94 tff(f1053,plain,( 27.86/3.94 ($false = $true) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ sK5) = $true)), 27.86/3.94 inference(superposition,[],[f685,f956])). 27.86/3.94 tff(f1058,plain,( 27.86/3.94 (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ sK5) = $true)), 27.86/3.94 inference(trivial_inequality_removal,[],[f1053])). 27.86/3.94 tff(f1112,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ sK5 = $false) | (esti @ nat @ sK5 @ (d_Sep @ nat @ X1) = $true)) )), 27.86/3.94 inference(superposition,[],[f713,f956])). 27.86/3.94 tff(f1117,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : ((esti @ nat @ sK5 @ (d_Sep @ nat @ X1) = $true) | (X1 @ sK5 = $false)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1112])). 27.86/3.94 tff(f1121,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (esti @ nat @ sK5 @ (d_Sep @ nat @ X1) = $false) | (X1 @ sK5 = $true)) )), 27.86/3.94 inference(superposition,[],[f718,f956])). 27.86/3.94 tff(f1126,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : ((esti @ nat @ sK5 @ (d_Sep @ nat @ X1) = $false) | (X1 @ sK5 = $true)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1121])). 27.86/3.94 tff(f1149,plain,( 27.86/3.94 ( ! [X2,X0,X1] : ((is_of @ X1 @ (cCOMB @ in @ X2) = $false) | (is_of @ X0 @ (cCOMB @ in @ X2) = $false) | (e_is @ X2 @ X0 @ X1 = $false) | X0 = X1) )), 27.86/3.94 inference(leibniz_equality_elimination,[],[f884])). 27.86/3.94 tff(f1161,plain,( 27.86/3.94 ( ! [X0] : (($false = $true) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X0 @ sK4 = $false) | sK4 = X0) )), 27.86/3.94 inference(superposition,[],[f1149,f952])). 27.86/3.94 tff(f1162,plain,( 27.86/3.94 ( ! [X1] : (($false = $true) | (is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X1 @ sK5 = $false) | sK5 = X1) )), 27.86/3.94 inference(superposition,[],[f1149,f956])). 27.86/3.94 tff(f1168,plain,( 27.86/3.94 ( ! [X1] : ((is_of @ X1 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X1 @ sK5 = $false) | sK5 = X1) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1162])). 27.86/3.94 tff(f1169,plain,( 27.86/3.94 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (e_is @ nat @ X0 @ sK4 = $false) | sK4 = X0) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1161])). 27.86/3.94 tff(f1171,plain,( 27.86/3.94 ( ! [X0] : (($false = $true) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (iii @ X0 @ sK4 = $false) | (n_some @ (diffprop @ sK4 @ X0) = $true)) )), 27.86/3.94 inference(superposition,[],[f850,f952])). 27.86/3.94 tff(f1175,plain,( 27.86/3.94 ( ! [X0] : (($false != $false) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (iii @ X0 @ X0 = $false) | (n_some @ (diffprop @ X0 @ X0) = $true)) )), 27.86/3.94 inference(equality_factoring,[],[f850])). 27.86/3.94 tff(f1176,plain,( 27.86/3.94 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (iii @ X0 @ X0 = $false) | (n_some @ (diffprop @ X0 @ X0) = $true)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1175])). 27.86/3.94 tff(f1180,plain,( 27.86/3.94 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (iii @ X0 @ sK4 = $false) | (n_some @ (diffprop @ sK4 @ X0) = $true)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1171])). 27.86/3.94 tff(f1185,plain,( 27.86/3.94 ( ! [X0] : (($false = $true) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ X0 @ sK4) = $false) | (iii @ sK4 @ X0 = $true)) )), 27.86/3.94 inference(superposition,[],[f858,f952])). 27.86/3.94 tff(f1194,plain,( 27.86/3.94 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (n_some @ (diffprop @ X0 @ sK4) = $false) | (iii @ sK4 @ X0 = $true)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1185])). 27.86/3.94 tff(f1224,plain,( 27.86/3.94 spl2_6 <=> (d_not @ $true = $true)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 27.86/3.94 tff(f1225,plain,( 27.86/3.94 (d_not @ $true = $true) | ~spl2_6), 27.86/3.94 inference(avatar_component_clause,[],[f1224])). 27.86/3.94 tff(f1238,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ sK5 = $true) | (X1 @ sK5 = $false)) )), 27.86/3.94 inference(superposition,[],[f1126,f1117])). 27.86/3.94 tff(f1241,plain,( 27.86/3.94 ( ! [X1:'$i' -> '$o'] : ((X1 @ sK5 = $true) | (X1 @ sK5 = $false)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1238])). 27.86/3.94 tff(f1266,plain,( 27.86/3.94 spl2_8 <=> (e_is @ nat @ (ordsucc @ sK5) @ sK5 = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 27.86/3.94 tff(f1267,plain,( 27.86/3.94 (e_is @ nat @ (ordsucc @ sK5) @ sK5 = $false) | ~spl2_8), 27.86/3.94 inference(avatar_component_clause,[],[f1266])). 27.86/3.94 tff(f1292,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $true) @ (e_is @ nat @ sK4 @ sK5)) = $true) | (iii @ sK4 @ sK5 = $false)), 27.86/3.94 inference(superposition,[],[f958,f1241])). 27.86/3.94 tff(f1300,plain,( 27.86/3.94 spl2_10 <=> (iii @ sK4 @ sK5 = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])). 27.86/3.94 tff(f1301,plain,( 27.86/3.94 (iii @ sK4 @ sK5 = $false) | ~spl2_10), 27.86/3.94 inference(avatar_component_clause,[],[f1300])). 27.86/3.94 tff(f1313,plain,( 27.86/3.94 spl2_14 <=> (d_not @ (vIMP @ (d_not @ $true) @ (e_is @ nat @ sK4 @ sK5)) = $true)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])). 27.86/3.94 tff(f1314,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $true) @ (e_is @ nat @ sK4 @ sK5)) = $true) | ~spl2_14), 27.86/3.94 inference(avatar_component_clause,[],[f1313])). 27.86/3.94 tff(f1315,plain,( 27.86/3.94 spl2_10 | spl2_14), 27.86/3.94 inference(avatar_split_clause,[],[f1292,f1313,f1300])). 27.86/3.94 tff(f1320,plain,( 27.86/3.94 spl2_16 <=> (e_is @ nat @ sK4 @ sK5 = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 27.86/3.94 tff(f1321,plain,( 27.86/3.94 (e_is @ nat @ sK4 @ sK5 = $false) | ~spl2_16), 27.86/3.94 inference(avatar_component_clause,[],[f1320])). 27.86/3.94 tff(f1323,plain,( 27.86/3.94 (d_not @ $false = $true) | ~spl2_8), 27.86/3.94 inference(backward_demodulation,[],[f1267,f1058])). 27.86/3.94 tff(f1327,plain,( 27.86/3.94 ( ! [X0] : (($false = $true) | (is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ X0 @ sK4)) = $false) | (d_not @ (iii @ X0 @ sK4) = $false) | (e_is @ nat @ X0 @ sK4 = $true)) )), 27.86/3.94 inference(superposition,[],[f875,f952])). 27.86/3.94 tff(f1336,plain,( 27.86/3.94 ( ! [X0] : ((is_of @ X0 @ (cCOMB @ in @ nat) = $false) | (d_not @ (n_some @ (diffprop @ X0 @ sK4)) = $false) | (d_not @ (iii @ X0 @ sK4) = $false) | (e_is @ nat @ X0 @ sK4 = $true)) )), 27.86/3.94 inference(trivial_inequality_removal,[],[f1327])). 27.86/3.94 tff(f1372,plain,( 27.86/3.94 spl2_19 <=> (is_of @ sK5 @ (cCOMB @ in @ nat) != $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_19])])). 27.86/3.94 tff(f1373,plain,( 27.86/3.94 (is_of @ sK5 @ (cCOMB @ in @ nat) != $false) | ~spl2_19), 27.86/3.94 inference(avatar_component_clause,[],[f1372])). 27.86/3.94 tff(f1375,plain,( 27.86/3.94 spl2_18 <=> (is_of @ sK5 @ (cCOMB @ in @ nat) = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 27.86/3.94 tff(f1376,plain,( 27.86/3.94 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | ~spl2_18), 27.86/3.94 inference(avatar_component_clause,[],[f1375])). 27.86/3.94 tff(f1660,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $false) @ (e_is @ nat @ sK4 @ sK5)) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true)), 27.86/3.94 inference(superposition,[],[f780,f959])). 27.86/3.94 tff(f1726,plain,( 27.86/3.94 spl2_58 <=> (iii @ sK5 @ sK5 = $true)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_58])])). 27.86/3.94 tff(f1727,plain,( 27.86/3.94 (iii @ sK5 @ sK5 = $true) | ~spl2_58), 27.86/3.94 inference(avatar_component_clause,[],[f1726])). 27.86/3.94 tff(f1745,plain,( 27.86/3.94 spl2_62 <=> (iii @ sK4 @ sK5 = $true)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_62])])). 27.86/3.94 tff(f1746,plain,( 27.86/3.94 (iii @ sK4 @ sK5 = $true) | ~spl2_62), 27.86/3.94 inference(avatar_component_clause,[],[f1745])). 27.86/3.94 tff(f1761,plain,( 27.86/3.94 spl2_66 <=> (d_not @ $true = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_66])])). 27.86/3.94 tff(f1762,plain,( 27.86/3.94 (d_not @ $true = $false) | ~spl2_66), 27.86/3.94 inference(avatar_component_clause,[],[f1761])). 27.86/3.94 tff(f1798,plain,( 27.86/3.94 spl2_80 <=> (iii @ sK5 @ sK5 = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_80])])). 27.86/3.94 tff(f1799,plain,( 27.86/3.94 (iii @ sK5 @ sK5 = $false) | ~spl2_80), 27.86/3.94 inference(avatar_component_clause,[],[f1798])). 27.86/3.94 tff(f1832,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $true) @ $false) = $true) | (~spl2_14 | ~spl2_16)), 27.86/3.94 inference(backward_demodulation,[],[f1321,f1314])). 27.86/3.94 tff(f1839,plain,( 27.86/3.94 (d_not @ (vNOT @ (d_not @ $true)) = $true) | (~spl2_14 | ~spl2_16)), 27.86/3.94 inference(boolean_simplification,[],[f1832])). 27.86/3.94 tff(f1841,plain,( 27.86/3.94 (d_not @ (vNOT @ $false) = $true) | (~spl2_14 | ~spl2_16 | ~spl2_66)), 27.86/3.94 inference(backward_demodulation,[],[f1762,f1839])). 27.86/3.94 tff(f1842,plain,( 27.86/3.94 (d_not @ $true = $true) | (~spl2_14 | ~spl2_16 | ~spl2_66)), 27.86/3.94 inference(boolean_simplification,[],[f1841])). 27.86/3.94 tff(f1843,plain,( 27.86/3.94 ($false = $true) | (~spl2_14 | ~spl2_16 | ~spl2_66)), 27.86/3.94 inference(forward_demodulation,[],[f1842,f1762])). 27.86/3.94 tff(f1844,plain,( 27.86/3.94 $false | (~spl2_14 | ~spl2_16 | ~spl2_66)), 27.86/3.94 inference(trivial_inequality_removal,[],[f1843])). 27.86/3.94 tff(f1845,plain,( 27.86/3.94 ~spl2_14 | ~spl2_16 | ~spl2_66), 27.86/3.94 inference(avatar_contradiction_clause,[],[f1844])). 27.86/3.94 tff(f1849,plain,( 27.86/3.94 ($false = $true) | ~spl2_18), 27.86/3.94 inference(backward_demodulation,[],[f1376,f956])). 27.86/3.94 tff(f1850,plain,( 27.86/3.94 $false | ~spl2_18), 27.86/3.94 inference(trivial_inequality_removal,[],[f1849])). 27.86/3.94 tff(f1851,plain,( 27.86/3.94 ~spl2_18), 27.86/3.94 inference(avatar_contradiction_clause,[],[f1850])). 27.86/3.94 tff(f1888,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $true) @ (e_is @ nat @ sK4 @ sK5)) = $true) | ~spl2_62), 27.86/3.94 inference(backward_demodulation,[],[f1746,f958])). 27.86/3.94 tff(f2001,plain,( 27.86/3.94 ($false = $true) | (~spl2_58 | ~spl2_80)), 27.86/3.94 inference(backward_demodulation,[],[f1799,f1727])). 27.86/3.94 tff(f2002,plain,( 27.86/3.94 $false | (~spl2_58 | ~spl2_80)), 27.86/3.94 inference(trivial_inequality_removal,[],[f2001])). 27.86/3.94 tff(f2003,plain,( 27.86/3.94 ~spl2_58 | ~spl2_80), 27.86/3.94 inference(avatar_contradiction_clause,[],[f2002])). 27.86/3.94 tff(f2005,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ $true) @ $false) = $true) | (~spl2_16 | ~spl2_62)), 27.86/3.94 inference(backward_demodulation,[],[f1321,f1888])). 27.86/3.94 tff(f2009,plain,( 27.86/3.94 (d_not @ (vNOT @ (d_not @ $true)) = $true) | (~spl2_16 | ~spl2_62)), 27.86/3.94 inference(boolean_simplification,[],[f2005])). 27.86/3.94 tff(f2021,plain,( 27.86/3.94 (d_not @ (vNOT @ $true) = $true) | (~spl2_6 | ~spl2_16 | ~spl2_62)), 27.86/3.94 inference(forward_demodulation,[],[f2009,f1225])). 27.86/3.94 tff(f2022,plain,( 27.86/3.94 (d_not @ $false = $true) | (~spl2_6 | ~spl2_16 | ~spl2_62)), 27.86/3.94 inference(boolean_simplification,[],[f2021])). 27.86/3.94 tff(f2358,plain,( 27.86/3.94 ($false = $true) | (iii @ sK5 @ sK5 = $false) | (n_some @ (diffprop @ sK5 @ sK5) = $true)), 27.86/3.94 inference(superposition,[],[f956,f1176])). 27.86/3.94 tff(f2423,plain,( 27.86/3.94 (iii @ sK5 @ sK5 = $false) | (n_some @ (diffprop @ sK5 @ sK5) = $true)), 27.86/3.94 inference(trivial_inequality_removal,[],[f2358])). 27.86/3.94 tff(f2438,plain,( 27.86/3.94 ($false = $true) | (n_some @ (diffprop @ sK5 @ sK5) = $true) | ~spl2_58), 27.86/3.94 inference(forward_demodulation,[],[f2423,f1727])). 27.86/3.94 tff(f2439,plain,( 27.86/3.94 (n_some @ (diffprop @ sK5 @ sK5) = $true) | ~spl2_58), 27.86/3.94 inference(trivial_inequality_removal,[],[f2438])). 27.86/3.94 tff(f2670,plain,( 27.86/3.94 ($false = $true) | (e_is @ nat @ sK5 @ sK4 = $false) | sK4 = sK5), 27.86/3.94 inference(superposition,[],[f956,f1169])). 27.86/3.94 tff(f2671,plain,( 27.86/3.94 (e_is @ nat @ sK5 @ sK4 = $false) | sK4 = sK5), 27.86/3.94 inference(trivial_inequality_removal,[],[f2670])). 27.86/3.94 tff(f2678,plain,( 27.86/3.94 spl2_118 <=> sK4 = sK5), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_118])])). 27.86/3.94 tff(f2679,plain,( 27.86/3.94 sK4 = sK5 | ~spl2_118), 27.86/3.94 inference(avatar_component_clause,[],[f2678])). 27.86/3.94 tff(f2684,plain,( 27.86/3.94 spl2_120 <=> (e_is @ nat @ sK5 @ sK4 = $false)), 27.86/3.94 introduced(avatar_definition,[new_symbols(naming,[spl2_120])])). 27.86/3.94 tff(f2685,plain,( 27.86/3.94 (e_is @ nat @ sK5 @ sK4 = $false) | ~spl2_120), 27.86/3.94 inference(avatar_component_clause,[],[f2684])). 27.86/3.94 tff(f2688,plain,( 27.86/3.94 spl2_118 | spl2_120), 27.86/3.94 inference(avatar_split_clause,[],[f2671,f2684,f2678])). 27.86/3.94 tff(f2690,plain,( 27.86/3.94 (n_some @ (diffprop @ sK4 @ sK4) = $false) | ~spl2_118), 27.86/3.94 inference(backward_demodulation,[],[f2679,f959])). 27.86/3.94 tff(f2725,plain,( 27.86/3.94 (n_some @ (diffprop @ sK4 @ sK4) = $true) | (~spl2_58 | ~spl2_118)), 27.86/3.94 inference(backward_demodulation,[],[f2679,f2439])). 27.86/3.94 tff(f2756,plain,( 27.86/3.94 ($false = $true) | (~spl2_58 | ~spl2_118)), 27.86/3.94 inference(forward_demodulation,[],[f2725,f2690])). 27.86/3.94 tff(f2757,plain,( 27.86/3.94 $false | (~spl2_58 | ~spl2_118)), 27.86/3.94 inference(trivial_inequality_removal,[],[f2756])). 27.86/3.94 tff(f2758,plain,( 27.86/3.94 ~spl2_58 | ~spl2_118), 27.86/3.94 inference(avatar_contradiction_clause,[],[f2757])). 27.86/3.94 tff(f2898,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK5))) @ $true) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $true)), 27.86/3.94 inference(superposition,[],[f780,f1040])). 27.86/3.94 tff(f2899,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK5))) @ $true) = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false)), 27.86/3.94 inference(superposition,[],[f772,f1040])). 27.86/3.94 tff(f2906,plain,( 27.86/3.94 (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK5))) @ $true) = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $false)), 27.86/3.94 inference(duplicate_literal_removal,[],[f2899])). 27.86/3.94 tff(f2907,plain,( 27.86/3.94 (d_not @ $true = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $false)), 27.86/3.94 inference(boolean_simplification,[],[f2906])). 27.86/3.95 tff(f2908,plain,( 27.86/3.95 (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK5))) @ $true) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $true)), 27.86/3.95 inference(duplicate_literal_removal,[],[f2898])). 27.86/3.95 tff(f2909,plain,( 27.86/3.95 (d_not @ $true = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK5 = $true)), 27.86/3.95 inference(boolean_simplification,[],[f2908])). 27.86/3.95 tff(f2936,plain,( 27.86/3.95 (d_not @ (vIMP @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4))) @ $false) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | ~spl2_120), 27.86/3.95 inference(superposition,[],[f780,f2685])). 27.86/3.95 tff(f2942,plain,( 27.86/3.95 (d_not @ (vNOT @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4)))) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | ~spl2_120), 27.86/3.95 inference(boolean_simplification,[],[f2936])). 27.86/3.95 tff(f2952,plain,( 27.86/3.95 spl2_122 <=> (n_some @ (diffprop @ sK5 @ sK4) = $false)), 27.86/3.95 introduced(avatar_definition,[new_symbols(naming,[spl2_122])])). 27.86/3.95 tff(f2953,plain,( 27.86/3.95 (n_some @ (diffprop @ sK5 @ sK4) = $false) | ~spl2_122), 27.86/3.95 inference(avatar_component_clause,[],[f2952])). 27.86/3.95 tff(f2961,plain,( 27.86/3.95 ($false = $true) | (d_not @ (vNOT @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4)))) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | ~spl2_120), 27.86/3.95 inference(forward_demodulation,[],[f2942,f952])). 27.86/3.95 tff(f2962,plain,( 27.86/3.95 (d_not @ (vNOT @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4)))) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | ~spl2_120), 27.86/3.95 inference(trivial_inequality_removal,[],[f2961])). 27.86/3.95 tff(f2967,plain,( 27.86/3.95 spl2_126 <=> (iii @ sK5 @ sK4 = $true)), 27.86/3.95 introduced(avatar_definition,[new_symbols(naming,[spl2_126])])). 27.86/3.95 tff(f2968,plain,( 27.86/3.95 (iii @ sK5 @ sK4 = $true) | ~spl2_126), 27.86/3.95 inference(avatar_component_clause,[],[f2967])). 27.86/3.95 tff(f2973,plain,( 27.86/3.95 spl2_128 <=> (d_not @ (vNOT @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4)))) = $false)), 27.86/3.95 introduced(avatar_definition,[new_symbols(naming,[spl2_128])])). 27.86/3.95 tff(f2974,plain,( 27.86/3.95 (d_not @ (vNOT @ (d_not @ (n_some @ (diffprop @ sK5 @ sK4)))) = $false) | ~spl2_128), 27.86/3.95 inference(avatar_component_clause,[],[f2973])). 27.86/3.95 tff(f2975,plain,( 27.86/3.95 spl2_126 | spl2_18 | spl2_128 | ~spl2_120), 27.86/3.95 inference(avatar_split_clause,[],[f2962,f2684,f2973,f1375,f2967])). 27.86/3.95 tff(f3243,plain,( 27.86/3.95 (d_not @ (vIMP @ (d_not @ $false) @ (e_is @ nat @ sK5 @ sK4)) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | ~spl2_122), 27.86/3.95 inference(superposition,[],[f780,f2953])). 27.86/3.95 tff(f3453,plain,( 27.86/3.95 ($false != $false) | (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ sK5) = $true) | ~spl2_19), 27.86/3.95 inference(superposition,[],[f1373,f685])). 27.86/3.95 tff(f3512,plain,( 27.86/3.95 (d_not @ (e_is @ nat @ (ordsucc @ sK5) @ sK5) = $true) | ~spl2_19), 27.86/3.95 inference(trivial_inequality_removal,[],[f3453])). 27.86/3.95 tff(f3528,plain,( 27.86/3.95 ($false = $true) | (e_is @ nat @ sK4 @ sK5 = $false) | sK4 = sK5), 27.86/3.95 inference(superposition,[],[f952,f1168])). 27.86/3.95 tff(f3533,plain,( 27.86/3.95 (e_is @ nat @ sK4 @ sK5 = $false) | sK4 = sK5), 27.86/3.95 inference(trivial_inequality_removal,[],[f3528])). 27.86/3.95 tff(f3656,plain,( 27.86/3.95 ($false = $true) | (iii @ sK5 @ sK4 = $false) | (n_some @ (diffprop @ sK4 @ sK5) = $true)), 27.86/3.95 inference(superposition,[],[f956,f1180])). 27.86/3.95 tff(f3659,plain,( 27.86/3.95 (iii @ sK5 @ sK4 = $false) | (n_some @ (diffprop @ sK4 @ sK5) = $true)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3656])). 27.86/3.95 tff(f3676,plain,( 27.86/3.95 ($false = $true) | (n_some @ (diffprop @ sK4 @ sK5) = $true) | ~spl2_126), 27.86/3.95 inference(forward_demodulation,[],[f3659,f2968])). 27.86/3.95 tff(f3677,plain,( 27.86/3.95 (n_some @ (diffprop @ sK4 @ sK5) = $true) | ~spl2_126), 27.86/3.95 inference(trivial_inequality_removal,[],[f3676])). 27.86/3.95 tff(f3678,plain,( 27.86/3.95 ($false = $true) | ~spl2_126), 27.86/3.95 inference(forward_demodulation,[],[f3677,f959])). 27.86/3.95 tff(f3679,plain,( 27.86/3.95 $false | ~spl2_126), 27.86/3.95 inference(trivial_inequality_removal,[],[f3678])). 27.86/3.95 tff(f3680,plain,( 27.86/3.95 ~spl2_126), 27.86/3.95 inference(avatar_contradiction_clause,[],[f3679])). 27.86/3.95 tff(f3681,plain,( 27.86/3.95 ($false = $true) | (iii @ sK5 @ sK4 = $false)), 27.86/3.95 inference(forward_demodulation,[],[f3659,f959])). 27.86/3.95 tff(f3682,plain,( 27.86/3.95 (iii @ sK5 @ sK4 = $false)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3681])). 27.86/3.95 tff(f3713,plain,( 27.86/3.95 (d_not @ (vIMP @ $true @ (e_is @ nat @ sK5 @ sK4)) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_122)), 27.86/3.95 inference(forward_demodulation,[],[f3243,f1323])). 27.86/3.95 tff(f3714,plain,( 27.86/3.95 (d_not @ (e_is @ nat @ sK5 @ sK4) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_122)), 27.86/3.95 inference(boolean_simplification,[],[f3713])). 27.86/3.95 tff(f3715,plain,( 27.86/3.95 (d_not @ $false = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(forward_demodulation,[],[f3714,f2685])). 27.86/3.95 tff(f3716,plain,( 27.86/3.95 ($false = $true) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(forward_demodulation,[],[f3715,f1323])). 27.86/3.95 tff(f3717,plain,( 27.86/3.95 (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3716])). 27.86/3.95 tff(f3718,plain,( 27.86/3.95 ($false = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(forward_demodulation,[],[f3717,f952])). 27.86/3.95 tff(f3719,plain,( 27.86/3.95 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK5 @ sK4 = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3718])). 27.86/3.95 tff(f3720,plain,( 27.86/3.95 ($false = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(forward_demodulation,[],[f3719,f3682])). 27.86/3.95 tff(f3721,plain,( 27.86/3.95 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3720])). 27.86/3.95 tff(f3722,plain,( 27.86/3.95 ($false = $true) | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(backward_demodulation,[],[f3721,f956])). 27.86/3.95 tff(f3723,plain,( 27.86/3.95 $false | (~spl2_8 | ~spl2_120 | ~spl2_122)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3722])). 27.86/3.95 tff(f3724,plain,( 27.86/3.95 ~spl2_8 | ~spl2_120 | ~spl2_122), 27.86/3.95 inference(avatar_contradiction_clause,[],[f3723])). 27.86/3.95 tff(f3960,plain,( 27.86/3.95 ($false = $true) | (n_some @ (diffprop @ sK5 @ sK4) = $false) | (iii @ sK4 @ sK5 = $true)), 27.86/3.95 inference(superposition,[],[f956,f1194])). 27.86/3.95 tff(f3965,plain,( 27.86/3.95 (n_some @ (diffprop @ sK5 @ sK4) = $false) | (iii @ sK4 @ sK5 = $true)), 27.86/3.95 inference(trivial_inequality_removal,[],[f3960])). 27.86/3.95 tff(f4041,plain,( 27.86/3.95 (d_not @ $true = $true) | (e_is @ nat @ (ordsucc @ sK5) @ sK5 = $false) | ~spl2_19), 27.86/3.95 inference(superposition,[],[f3512,f1241])). 27.86/3.95 tff(f4115,plain,( 27.86/3.95 ($false = $true) | (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | (d_not @ (iii @ sK5 @ sK4) = $false) | (e_is @ nat @ sK5 @ sK4 = $true)), 27.86/3.95 inference(superposition,[],[f1336,f956])). 27.86/3.95 tff(f4128,plain,( 27.86/3.95 (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | (d_not @ (iii @ sK5 @ sK4) = $false) | (e_is @ nat @ sK5 @ sK4 = $true)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4115])). 27.86/3.95 tff(f4130,plain,( 27.86/3.95 (d_not @ $false = $false) | (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | (e_is @ nat @ sK5 @ sK4 = $true)), 27.86/3.95 inference(forward_demodulation,[],[f4128,f3682])). 27.86/3.95 tff(f4147,plain,( 27.86/3.95 spl2_142 <=> (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false)), 27.86/3.95 introduced(avatar_definition,[new_symbols(naming,[spl2_142])])). 27.86/3.95 tff(f4148,plain,( 27.86/3.95 (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | ~spl2_142), 27.86/3.95 inference(avatar_component_clause,[],[f4147])). 27.86/3.95 tff(f4153,plain,( 27.86/3.95 spl2_144 <=> (d_not @ $false = $false)), 27.86/3.95 introduced(avatar_definition,[new_symbols(naming,[spl2_144])])). 27.86/3.95 tff(f4154,plain,( 27.86/3.95 (d_not @ $false = $false) | ~spl2_144), 27.86/3.95 inference(avatar_component_clause,[],[f4153])). 27.86/3.95 tff(f4160,plain,( 27.86/3.95 ($false = $true) | (d_not @ $false = $false) | (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | ~spl2_120), 27.86/3.95 inference(forward_demodulation,[],[f4130,f2685])). 27.86/3.95 tff(f4161,plain,( 27.86/3.95 (d_not @ $false = $false) | (d_not @ (n_some @ (diffprop @ sK5 @ sK4)) = $false) | ~spl2_120), 27.86/3.95 inference(trivial_inequality_removal,[],[f4160])). 27.86/3.95 tff(f4162,plain,( 27.86/3.95 spl2_142 | spl2_144 | ~spl2_120), 27.86/3.95 inference(avatar_split_clause,[],[f4161,f2684,f4153,f4147])). 27.86/3.95 tff(f4195,plain,( 27.86/3.95 (d_not @ (vNOT @ $false) = $false) | (~spl2_128 | ~spl2_142)), 27.86/3.95 inference(backward_demodulation,[],[f4148,f2974])). 27.86/3.95 tff(f4196,plain,( 27.86/3.95 (d_not @ $true = $false) | (~spl2_128 | ~spl2_142)), 27.86/3.95 inference(boolean_simplification,[],[f4195])). 27.86/3.95 tff(f4197,plain,( 27.86/3.95 ($false = $true) | (~spl2_6 | ~spl2_128 | ~spl2_142)), 27.86/3.95 inference(backward_demodulation,[],[f4196,f1225])). 27.86/3.95 tff(f4198,plain,( 27.86/3.95 $false | (~spl2_6 | ~spl2_128 | ~spl2_142)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4197])). 27.86/3.95 tff(f4199,plain,( 27.86/3.95 ~spl2_6 | ~spl2_128 | ~spl2_142), 27.86/3.95 inference(avatar_contradiction_clause,[],[f4198])). 27.86/3.95 tff(f4216,plain,( 27.86/3.95 ($false = $true) | (~spl2_6 | ~spl2_16 | ~spl2_62 | ~spl2_144)), 27.86/3.95 inference(forward_demodulation,[],[f2022,f4154])). 27.86/3.95 tff(f4217,plain,( 27.86/3.95 $false | (~spl2_6 | ~spl2_16 | ~spl2_62 | ~spl2_144)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4216])). 27.86/3.95 tff(f4218,plain,( 27.86/3.95 ~spl2_6 | ~spl2_16 | ~spl2_62 | ~spl2_144), 27.86/3.95 inference(avatar_contradiction_clause,[],[f4217])). 27.86/3.95 tff(f4239,plain,( 27.86/3.95 ($false = $true) | (~spl2_10 | ~spl2_62)), 27.86/3.95 inference(backward_demodulation,[],[f1301,f1746])). 27.86/3.95 tff(f4240,plain,( 27.86/3.95 $false | (~spl2_10 | ~spl2_62)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4239])). 27.86/3.95 tff(f4241,plain,( 27.86/3.95 ~spl2_10 | ~spl2_62), 27.86/3.95 inference(avatar_contradiction_clause,[],[f4240])). 27.86/3.95 tff(f4269,plain,( 27.86/3.95 (d_not @ (vIMP @ $false @ (e_is @ nat @ sK4 @ sK5)) = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | ~spl2_144), 27.86/3.95 inference(forward_demodulation,[],[f1660,f4154])). 27.86/3.95 tff(f4270,plain,( 27.86/3.95 (d_not @ $true = $false) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | ~spl2_144), 27.86/3.95 inference(boolean_simplification,[],[f4269])). 27.86/3.95 tff(f4271,plain,( 27.86/3.95 ($false = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | (~spl2_6 | ~spl2_144)), 27.86/3.95 inference(forward_demodulation,[],[f4270,f1225])). 27.86/3.95 tff(f4272,plain,( 27.86/3.95 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (is_of @ sK4 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | (~spl2_6 | ~spl2_144)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4271])). 27.86/3.95 tff(f4273,plain,( 27.86/3.95 ($false = $true) | (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | (~spl2_6 | ~spl2_144)), 27.86/3.95 inference(forward_demodulation,[],[f4272,f952])). 27.86/3.95 tff(f4274,plain,( 27.86/3.95 (is_of @ sK5 @ (cCOMB @ in @ nat) = $false) | (iii @ sK4 @ sK5 = $true) | (~spl2_6 | ~spl2_144)), 27.86/3.95 inference(trivial_inequality_removal,[],[f4273])). 27.86/3.95 tff(f4303,plain,( 27.86/3.95 spl2_62 | spl2_18 | ~spl2_6 | ~spl2_144), 27.86/3.95 inference(avatar_split_clause,[],[f4274,f4153,f1224,f1375,f1745])). 27.86/3.95 tff(f4305,plain,( 27.86/3.95 spl2_62 | spl2_122), 27.86/3.95 inference(avatar_split_clause,[],[f3965,f2952,f1745])). 27.86/3.95 tff(f4309,plain,( 27.86/3.95 spl2_118 | spl2_16), 27.86/3.95 inference(avatar_split_clause,[],[f3533,f1320,f2678])). 27.86/3.95 tff(f4349,plain,( 27.86/3.95 spl2_8 | spl2_6 | spl2_19), 27.86/3.95 inference(avatar_split_clause,[],[f4041,f1372,f1224,f1266])). 27.86/3.95 tff(f4368,plain,( 27.86/3.95 spl2_80 | spl2_18 | spl2_6), 27.86/3.95 inference(avatar_split_clause,[],[f2907,f1224,f1375,f1798])). 28.56/3.95 tff(f4475,plain,( 28.56/3.95 spl2_58 | spl2_18 | spl2_66), 28.56/3.95 inference(avatar_split_clause,[],[f2909,f1761,f1375,f1726])). 28.56/3.95 tff(f4620,plain,( 28.56/3.95 (d_not @ (vIMP @ (d_not @ (iii @ sK4 @ sK4)) @ (e_is @ nat @ sK4 @ sK4)) = $true) | ~spl2_118), 28.56/3.95 inference(backward_demodulation,[],[f2679,f958])). 28.56/3.95 tff(f4674,plain,( 28.56/3.95 (d_not @ (vIMP @ (d_not @ (iii @ sK4 @ sK4)) @ $true) = $true) | ~spl2_118), 28.56/3.95 inference(forward_demodulation,[],[f4620,f1041])). 28.56/3.95 tff(f4675,plain,( 28.56/3.95 (d_not @ $true = $true) | ~spl2_118), 28.56/3.95 inference(boolean_simplification,[],[f4674])). 28.56/3.95 tff(f4848,plain,( 28.56/3.95 ($false = $true) | (~spl2_66 | ~spl2_118)), 28.56/3.95 inference(forward_demodulation,[],[f4675,f1762])). 28.56/3.95 tff(f4849,plain,( 28.56/3.95 $false | (~spl2_66 | ~spl2_118)), 28.56/3.95 inference(trivial_inequality_removal,[],[f4848])). 28.56/3.95 tff(f4850,plain,( 28.56/3.95 ~spl2_66 | ~spl2_118), 28.56/3.95 inference(avatar_contradiction_clause,[],[f4849])). 28.56/3.95 tff(f4930,plain,( 28.56/3.95 $false), 28.56/3.95 inference(avatar_sat_refutation,[],[f1315,f1845,f1851,f2003,f2688,f2758,f2975,f3680,f3724,f4162,f4199,f4218,f4241,f4303,f4305,f4309,f4349,f4368,f4475,f4850])). 28.56/3.95 % SZS output end Proof for theBenchmark 28.56/3.95 % (16161)------------------------------ 28.56/3.95 % (16161)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 28.56/3.95 % (16161)Termination reason: Refutation 28.56/3.95 28.56/3.95 % (16161)Memory used [KB]: 14583 28.56/3.95 % (16161)Time elapsed: 1.694 s 28.56/3.95 % (16161)------------------------------ 28.56/3.95 % (16161)------------------------------ 28.56/3.95 % (16122)Success in time 3.6 s 28.56/3.96 EOF