0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13 % Command : run_vampire %s %d
0.14/0.34 % Computer : n017.cluster.edu
0.14/0.34 % Model : x86_64 x86_64
0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34 % Memory : 8042.1875MB
0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
0.14/0.34 % CPULimit : 960
0.14/0.34 % WCLimit : 120
0.14/0.34 % DateTime : Thu Jul 2 08:49:21 EDT 2020
0.14/0.34 % CPUTime :
0.14/0.38 % (15693)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
0.14/0.39 % (15697)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
0.14/0.39 % (15683)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
0.14/0.39 % (15685)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
0.14/0.39 % (15689)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
0.14/0.40 % (15692)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
0.14/0.40 % (15694)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
0.14/0.40 % (15695)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
0.21/0.40 % (15705)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
0.21/0.40 % (15699)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
0.21/0.41 % (15688)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
0.21/0.41 % (15682)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
0.21/0.42 % (15709)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
0.21/0.42 % (15702)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
0.21/0.42 % (15706)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
0.21/0.42 % (15686)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
0.21/0.42 % (15687)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
0.21/0.42 % (15684)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
0.21/0.42 % (15698)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
0.21/0.42 % (15707)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
0.21/0.43 % (15690)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
0.21/0.43 % (15700)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
0.21/0.43 % (15710)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
0.21/0.43 % (15708)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
0.21/0.43 % (15711)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
0.21/0.43 % (15696)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
0.21/0.44 % (15704)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
0.21/0.44 % (15691)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
0.21/0.44 % (15701)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
0.21/0.44 % (15703)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
0.21/0.50 % (15684)Refutation not found, incomplete strategy
0.21/0.50 % (15684)------------------------------
0.21/0.50 % (15684)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.50 % (15684)Termination reason: Refutation not found, incomplete strategy
0.21/0.50
0.21/0.50 % (15684)Memory used [KB]: 9850
0.21/0.50 % (15684)Time elapsed: 0.135 s
0.21/0.50 % (15684)------------------------------
0.21/0.50 % (15684)------------------------------
0.21/0.52 % (15696)Refutation not found, incomplete strategy
0.21/0.52 % (15696)------------------------------
0.21/0.52 % (15696)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.52 % (15696)Termination reason: Refutation not found, incomplete strategy
0.21/0.52
0.21/0.52 % (15696)Memory used [KB]: 5373
0.21/0.52 % (15696)Time elapsed: 0.127 s
0.21/0.52 % (15696)------------------------------
0.21/0.52 % (15696)------------------------------
0.21/0.54 % (15712)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
0.21/0.55 % (15692)Refutation not found, incomplete strategy
0.21/0.55 % (15692)------------------------------
0.21/0.55 % (15692)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.55 % (15692)Termination reason: Refutation not found, incomplete strategy
0.21/0.55
0.21/0.55 % (15692)Memory used [KB]: 12920
0.21/0.55 % (15692)Time elapsed: 0.179 s
0.21/0.55 % (15692)------------------------------
0.21/0.55 % (15692)------------------------------
1.82/0.59 % (15713)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
1.82/0.60 % (15714)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
2.14/0.65 % (15714)Refutation not found, incomplete strategy
2.14/0.65 % (15714)------------------------------
2.14/0.65 % (15714)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.14/0.66 % (15714)Termination reason: Refutation not found, incomplete strategy
2.14/0.66
2.14/0.66 % (15714)Memory used [KB]: 9850
2.14/0.66 % (15714)Time elapsed: 0.075 s
2.14/0.66 % (15714)------------------------------
2.14/0.66 % (15714)------------------------------
2.14/0.69 % (15715)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
2.86/0.74 % (15715)Refutation not found, incomplete strategy
2.86/0.74 % (15715)------------------------------
2.86/0.74 % (15715)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
2.86/0.74 % (15715)Termination reason: Refutation not found, incomplete strategy
2.86/0.74
2.86/0.74 % (15715)Memory used [KB]: 9850
2.86/0.74 % (15715)Time elapsed: 0.069 s
2.86/0.74 % (15715)------------------------------
2.86/0.74 % (15715)------------------------------
2.86/0.79 % (15716)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark
3.99/0.87 % (15685)Time limit reached!
3.99/0.87 % (15685)------------------------------
3.99/0.87 % (15685)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.99/0.87 % (15685)Termination reason: Time limit
3.99/0.87 % (15685)Termination phase: Saturation
3.99/0.87
3.99/0.87 % (15685)Memory used [KB]: 12537
3.99/0.87 % (15685)Time elapsed: 0.500 s
3.99/0.87 % (15685)------------------------------
3.99/0.87 % (15685)------------------------------
4.06/0.88 % (15682)Time limit reached!
4.06/0.88 % (15682)------------------------------
4.06/0.88 % (15682)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.06/0.88 % (15682)Termination reason: Time limit
4.06/0.88
4.06/0.88 % (15682)Memory used [KB]: 2558
4.06/0.88 % (15682)Time elapsed: 0.504 s
4.06/0.88 % (15682)------------------------------
4.06/0.88 % (15682)------------------------------
4.06/0.88 % (15694)Time limit reached!
4.06/0.88 % (15694)------------------------------
4.06/0.88 % (15694)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.06/0.88 % (15694)Termination reason: Time limit
4.06/0.88
4.06/0.88 % (15694)Memory used [KB]: 7036
4.06/0.88 % (15694)Time elapsed: 0.505 s
4.06/0.88 % (15694)------------------------------
4.06/0.88 % (15694)------------------------------
4.06/0.88 % (15693)Time limit reached!
4.06/0.88 % (15693)------------------------------
4.06/0.88 % (15693)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.06/0.88 % (15693)Termination reason: Time limit
4.06/0.88
4.06/0.88 % (15693)Memory used [KB]: 12409
4.06/0.88 % (15693)Time elapsed: 0.516 s
4.06/0.88 % (15693)------------------------------
4.06/0.88 % (15693)------------------------------
4.06/0.89 % (15683)Time limit reached!
4.06/0.89 % (15683)------------------------------
4.06/0.89 % (15683)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.06/0.89 % (15683)Termination reason: Time limit
4.06/0.89 % (15683)Termination phase: Saturation
4.06/0.89
4.06/0.89 % (15683)Memory used [KB]: 11513
4.06/0.89 % (15683)Time elapsed: 0.500 s
4.06/0.89 % (15683)------------------------------
4.06/0.89 % (15683)------------------------------
4.30/0.91 % (15718)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark
4.30/0.91 % (15717)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
4.30/0.92 % (15719)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
4.41/0.93 % (15720)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
4.41/0.94 % (15721)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
4.41/0.97 % (15691)Time limit reached!
4.41/0.97 % (15691)------------------------------
4.41/0.97 % (15691)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.41/0.97 % (15691)Termination reason: Time limit
4.41/0.97 % (15691)Termination phase: Saturation
4.41/0.97
4.41/0.97 % (15691)Memory used [KB]: 12025
4.41/0.97 % (15691)Time elapsed: 0.600 s
4.41/0.97 % (15691)------------------------------
4.41/0.97 % (15691)------------------------------
4.41/1.00 % (15688)Time limit reached!
4.41/1.00 % (15688)------------------------------
4.41/1.00 % (15688)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.41/1.00 % (15688)Termination reason: Time limit
4.41/1.00
4.41/1.00 % (15688)Memory used [KB]: 12281
4.41/1.00 % (15688)Time elapsed: 0.618 s
4.41/1.00 % (15688)------------------------------
4.41/1.00 % (15688)------------------------------
4.41/1.00 % (15721)Refutation not found, incomplete strategy
4.41/1.00 % (15721)------------------------------
4.41/1.00 % (15721)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.41/1.00 % (15721)Termination reason: Refutation not found, incomplete strategy
4.41/1.00
4.41/1.00 % (15721)Memory used [KB]: 10106
4.41/1.00 % (15721)Time elapsed: 0.102 s
4.41/1.00 % (15721)------------------------------
4.41/1.00 % (15721)------------------------------
4.41/1.01 % (15722)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
5.06/1.03 % (15723)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark
5.06/1.05 % (15724)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark
5.06/1.06 % (15690)Refutation found. Thanks to Tanya!
5.06/1.06 % SZS status Theorem for theBenchmark
5.06/1.06 % SZS output start Proof for theBenchmark
5.06/1.06 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
5.06/1.06 tff(func_def_4, type, in: '$i' -> '$i' -> '$o').
5.06/1.06 tff(func_def_5, type, powerset: '$i' -> '$i').
5.06/1.06 tff(func_def_6, type, binunion: '$i' -> '$i' -> '$i').
5.06/1.06 tff(func_def_7, type, binintersect: '$i' -> '$i' -> '$i').
5.06/1.06 tff(func_def_8, type, setminus: '$i' -> '$i' -> '$i').
5.06/1.06 tff(func_def_10, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
5.06/1.06 tff(func_def_16, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
5.06/1.06 tff(func_def_19, type, vIMP: '$o' -> '$o' -> '$o').
5.06/1.06 tff(func_def_20, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
5.06/1.06 tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
5.06/1.06 tff(func_def_22, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
5.06/1.06 tff(func_def_23, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
5.06/1.06 tff(func_def_24, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
5.06/1.06 tff(func_def_28, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
5.06/1.06 tff(func_def_29, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
5.06/1.06 tff(func_def_30, type, sK3: '$i' -> '$i' -> '$i' -> '$i').
5.06/1.06 tff(func_def_31, type, sK4: '$i' -> '$i' -> '$i' -> '$i').
5.06/1.06 tff(f1,axiom,(
5.06/1.06 (binintersectT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => in @ (binintersect @ X1 @ X2) @ (powerset @ X0))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectT_lem)).
5.06/1.06 tff(f2,axiom,(
5.06/1.06 (binunionT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => in @ (binunion @ X1 @ X2) @ (powerset @ X0))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionT_lem)).
5.06/1.06 tff(f3,axiom,(
5.06/1.06 (complementT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => in @ (setminus @ X0 @ X1) @ (powerset @ X0)))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementT_lem)).
5.06/1.06 tff(f4,axiom,(
5.06/1.06 (setextT = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => (! [X3] : (in @ X3 @ X0 => (in @ X3 @ X1 => in @ X3 @ X2)) => (! [X3] : (in @ X3 @ X0 => (in @ X3 @ X2 => in @ X3 @ X1)) => X1 = X2)))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextT)).
5.06/1.06 tff(f5,axiom,(
5.06/1.06 (demorgan2a = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => ! [X3] : (in @ X3 @ X0 => (in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2)) => in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2a)).
5.06/1.06 tff(f6,axiom,(
5.06/1.06 (demorgan2b = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => ! [X3] : (in @ X3 @ X0 => (in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) => in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2)))))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2b)).
5.06/1.06 tff(f7,conjecture,(
5.06/1.06 binintersectT_lem => (binunionT_lem => (complementT_lem => (setextT => (demorgan2a => (demorgan2b => ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))))))))),
5.06/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2)).
5.06/1.06 tff(f8,negated_conjecture,(
5.06/1.06 ~(binintersectT_lem => (binunionT_lem => (complementT_lem => (setextT => (demorgan2a => (demorgan2b => ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))))),
5.06/1.06 inference(negated_conjecture,[],[f7])).
5.06/1.06 tff(f9,plain,(
5.06/1.06 ~(binintersectT_lem => (binunionT_lem => (complementT_lem => (setextT => (demorgan2a => (demorgan2b => ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))))),
5.06/1.06 inference(rectify,[],[f8])).
5.06/1.06 tff(f10,plain,(
5.06/1.06 ~((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((demorgan2a = $true) => ((demorgan2b = $true) => ! [X0,X1] : ((in @ X1 @ (powerset @ X0) = $true) => ! [X2] : ((in @ X2 @ (powerset @ X0) = $true) => setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))))),
5.06/1.06 inference(fool_elimination,[],[f9])).
5.06/1.06 tff(f11,plain,(
5.06/1.06 (setextT = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => (! [X3] : (in @ X3 @ X0 => (in @ X3 @ X1 => in @ X3 @ X2)) => (! [X4] : (in @ X4 @ X0 => (in @ X4 @ X2 => in @ X4 @ X1)) => X1 = X2)))))),
5.06/1.06 inference(rectify,[],[f4])).
5.06/1.06 tff(f12,plain,(
5.06/1.06 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ vEQ('$i'))))))) = setextT)),
5.06/1.06 inference(fool_elimination,[],[f11])).
5.06/1.06 tff(f13,plain,(
5.06/1.06 (demorgan2a = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => ! [X3] : (in @ X3 @ X0 => (in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2)) => in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))),
5.06/1.06 inference(rectify,[],[f5])).
5.06/1.06 tff(f14,plain,(
5.06/1.06 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus))))))))) = demorgan2a)),
5.06/1.06 inference(fool_elimination,[],[f13])).
5.06/1.06 tff(f15,plain,(
5.06/1.06 (demorgan2b = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => ! [X3] : (in @ X3 @ X0 => (in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) => in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2)))))))),
5.06/1.06 inference(rectify,[],[f6])).
5.06/1.07 tff(f16,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion))))))))) = demorgan2b)),
5.06/1.07 inference(fool_elimination,[],[f15])).
5.06/1.07 tff(f17,plain,(
5.06/1.07 (binunionT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => in @ (binunion @ X1 @ X2) @ (powerset @ X0))))),
5.06/1.07 inference(rectify,[],[f2])).
5.06/1.07 tff(f18,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binunion))) @ powerset))))) = binunionT_lem)),
5.06/1.07 inference(fool_elimination,[],[f17])).
5.06/1.07 tff(f19,plain,(
5.06/1.07 (binintersectT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => ! [X2] : (in @ X2 @ (powerset @ X0) => in @ (binintersect @ X1 @ X2) @ (powerset @ X0))))),
5.06/1.07 inference(rectify,[],[f1])).
5.06/1.07 tff(f20,plain,(
5.06/1.07 (binintersectT_lem = vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binintersect))) @ powerset))))))),
5.06/1.07 inference(fool_elimination,[],[f19])).
5.06/1.07 tff(f21,plain,(
5.06/1.07 (complementT_lem = ! [X0,X1] : (in @ X1 @ (powerset @ X0) => in @ (setminus @ X0 @ X1) @ (powerset @ X0)))),
5.06/1.07 inference(rectify,[],[f3])).
5.06/1.07 tff(f22,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ setminus))) @ powerset))) = complementT_lem)),
5.06/1.07 inference(fool_elimination,[],[f21])).
5.06/1.07 tff(f23,plain,(
5.06/1.07 (((((? [X0,X1] : (? [X2] : (setminus @ X0 @ (binunion @ X1 @ X2) != binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) & (demorgan2b = $true)) & (demorgan2a = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)),
5.06/1.07 inference(ennf_transformation,[],[f10])).
5.06/1.07 tff(f24,plain,(
5.06/1.07 ? [X0,X1] : (? [X2] : (setminus @ X0 @ (binunion @ X1 @ X2) != binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) & (demorgan2b = $true) & (demorgan2a = $true) & (setextT = $true) & (complementT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true)),
5.06/1.07 inference(flattening,[],[f23])).
5.06/1.07 tff(f25,plain,(
5.06/1.07 ? [X0,X1] : (? [X2] : (setminus @ X0 @ (binunion @ X1 @ X2) != binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) & (in @ X2 @ (powerset @ X0) = $true)) & (in @ X1 @ (powerset @ X0) = $true)) => (? [X2] : (setminus @ sK0 @ (binunion @ sK1 @ X2) != binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ X2) & (in @ X2 @ (powerset @ sK0) = $true)) & (in @ sK1 @ (powerset @ sK0) = $true))),
5.06/1.07 introduced(choice_axiom,[])).
5.06/1.07 tff(f26,plain,(
5.06/1.07 ? [X2] : (setminus @ sK0 @ (binunion @ sK1 @ X2) != binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ X2) & (in @ X2 @ (powerset @ sK0) = $true)) => (setminus @ sK0 @ (binunion @ sK1 @ sK2) != binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2) & (in @ sK2 @ (powerset @ sK0) = $true))),
5.06/1.07 introduced(choice_axiom,[])).
5.06/1.07 tff(f27,plain,(
5.06/1.07 ((setminus @ sK0 @ (binunion @ sK1 @ sK2) != binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2) & (in @ sK2 @ (powerset @ sK0) = $true)) & (in @ sK1 @ (powerset @ sK0) = $true)) & (demorgan2b = $true) & (demorgan2a = $true) & (setextT = $true) & (complementT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true)),
5.06/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f26,f25])).
5.06/1.07 tff(f28,plain,(
5.06/1.07 (binintersectT_lem = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f29,plain,(
5.06/1.07 (binunionT_lem = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f30,plain,(
5.06/1.07 (complementT_lem = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f31,plain,(
5.06/1.07 (setextT = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f32,plain,(
5.06/1.07 (demorgan2a = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f33,plain,(
5.06/1.07 (demorgan2b = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f34,plain,(
5.06/1.07 (in @ sK1 @ (powerset @ sK0) = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f35,plain,(
5.06/1.07 (in @ sK2 @ (powerset @ sK0) = $true)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f36,plain,(
5.06/1.07 setminus @ sK0 @ (binunion @ sK1 @ sK2) != binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)),
5.06/1.07 inference(cnf_transformation,[],[f27])).
5.06/1.07 tff(f37,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ vEQ('$i'))))))) = setextT)),
5.06/1.07 inference(cnf_transformation,[],[f12])).
5.06/1.07 tff(f38,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus))))))))) = demorgan2a)),
5.06/1.07 inference(cnf_transformation,[],[f14])).
5.06/1.07 tff(f39,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion))))))))) = demorgan2b)),
5.06/1.07 inference(cnf_transformation,[],[f16])).
5.06/1.07 tff(f40,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binunion))) @ powerset))))) = binunionT_lem)),
5.06/1.07 inference(cnf_transformation,[],[f18])).
5.06/1.07 tff(f41,plain,(
5.06/1.07 (binintersectT_lem = vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binintersect))) @ powerset))))))),
5.06/1.07 inference(cnf_transformation,[],[f20])).
5.06/1.07 tff(f42,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ setminus))) @ powerset))) = complementT_lem)),
5.06/1.07 inference(cnf_transformation,[],[f22])).
5.06/1.07 tff(f43,plain,(
5.06/1.07 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ vEQ('$i'))))))) = $true)),
5.06/1.07 inference(definition_unfolding,[],[f37,f31])).
5.06/1.08 tff(f44,plain,(
5.06/1.08 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus))))))))) = $true)),
5.06/1.08 inference(definition_unfolding,[],[f38,f32])).
5.06/1.08 tff(f45,plain,(
5.06/1.08 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion))))))))) = $true)),
5.06/1.08 inference(definition_unfolding,[],[f39,f33])).
5.06/1.08 tff(f46,plain,(
5.06/1.08 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binunion))) @ powerset))))) = $true)),
5.06/1.08 inference(definition_unfolding,[],[f40,f29])).
5.06/1.08 tff(f47,plain,(
5.06/1.08 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binintersect))) @ powerset))))) = $true)),
5.06/1.08 inference(definition_unfolding,[],[f41,f28])).
5.06/1.08 tff(f48,plain,(
5.06/1.08 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ setminus))) @ powerset))) = $true)),
5.06/1.08 inference(definition_unfolding,[],[f42,f30])).
5.06/1.08 tff(f49,plain,(
5.06/1.08 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ setminus))) @ powerset)) @ X1 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f48])).
5.06/1.08 tff(f50,plain,(
5.06/1.08 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (sCOMB @ (bCOMB @ in @ (cCOMB @ setminus @ X1)) @ powerset)) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f49])).
5.06/1.08 tff(f51,plain,(
5.06/1.08 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (sCOMB @ (bCOMB @ in @ (cCOMB @ setminus @ X1)) @ powerset) @ X2 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f50])).
5.06/1.08 tff(f52,plain,(
5.06/1.08 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (in @ (setminus @ X2 @ X1) @ (powerset @ X2)) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f51])).
5.06/1.08 tff(f53,plain,(
5.06/1.08 ( ! [X2,X1] : ((in @ (setminus @ X2 @ X1) @ (powerset @ X2) = $true) | (in @ X1 @ (powerset @ X2) = $false)) )),
5.06/1.08 inference(binary_proxy_clausification,[],[f52])).
5.06/1.08 tff(f54,plain,(
5.06/1.08 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binintersect))) @ powerset)))) @ X1 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f47])).
5.06/1.08 tff(f55,plain,(
5.06/1.08 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (binintersect @ X1))) @ powerset)))) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f54])).
5.06/1.08 tff(f56,plain,(
5.06/1.08 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (binintersect @ X1))) @ powerset))) @ X2 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f55])).
5.06/1.08 tff(f57,plain,(
5.06/1.08 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binintersect @ X1)) @ (powerset @ X2)))) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f56])).
5.06/1.08 tff(f58,plain,(
5.06/1.08 ( ! [X2,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binintersect @ X1)) @ (powerset @ X2))) = $true)) )),
5.06/1.08 inference(binary_proxy_clausification,[],[f57])).
5.06/1.08 tff(f59,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binintersect @ X1)) @ (powerset @ X2)) @ X3 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f58])).
5.06/1.08 tff(f60,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vIMP @ (in @ X3 @ (powerset @ X2)) @ (in @ (binintersect @ X1 @ X3) @ (powerset @ X2)) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f59])).
5.06/1.08 tff(f61,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ (binintersect @ X1 @ X3) @ (powerset @ X2) = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X1 @ (powerset @ X2) = $false)) )),
5.06/1.08 inference(binary_proxy_clausification,[],[f60])).
5.06/1.08 tff(f62,plain,(
5.06/1.08 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ binunion))) @ powerset)))) @ X1 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f46])).
5.06/1.08 tff(f63,plain,(
5.06/1.08 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (binunion @ X1))) @ powerset)))) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f62])).
5.06/1.08 tff(f64,plain,(
5.06/1.08 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (cCOMB @ (bCOMB @ in @ (binunion @ X1))) @ powerset))) @ X2 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f63])).
5.06/1.08 tff(f65,plain,(
5.06/1.08 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binunion @ X1)) @ (powerset @ X2)))) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f64])).
5.06/1.08 tff(f66,plain,(
5.06/1.08 ( ! [X2,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binunion @ X1)) @ (powerset @ X2))) = $true)) )),
5.06/1.08 inference(binary_proxy_clausification,[],[f65])).
5.06/1.08 tff(f67,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (cCOMB @ (bCOMB @ in @ (binunion @ X1)) @ (powerset @ X2)) @ X3 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f66])).
5.06/1.08 tff(f68,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vIMP @ (in @ X3 @ (powerset @ X2)) @ (in @ (binunion @ X1 @ X3) @ (powerset @ X2)) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f67])).
5.06/1.08 tff(f69,plain,(
5.06/1.08 ( ! [X2,X3,X1] : ((in @ (binunion @ X1 @ X3) @ (powerset @ X2) = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X1 @ (powerset @ X2) = $false)) )),
5.06/1.08 inference(binary_proxy_clausification,[],[f68])).
5.06/1.08 tff(f70,plain,(
5.06/1.08 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion)))))))) @ X1 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f45])).
5.06/1.08 tff(f71,plain,(
5.06/1.08 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ binintersect @ (cCOMB @ setminus @ X1))) @ setminus))))) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ (bCOMB @ bCOMB @ setminus) @ (binunion @ X1))))))))) = $true)) )),
5.06/1.08 inference(combinator_demodulation,[],[f70])).
5.06/1.08 tff(f72,plain,(
5.06/1.08 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ binintersect @ (cCOMB @ setminus @ X1))) @ setminus))))) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ (bCOMB @ bCOMB @ setminus) @ (binunion @ X1)))))))) @ X2 = $true)) )),
5.06/1.08 inference(pi_clausification,[],[f71])).
5.06/1.09 tff(f73,plain,(
5.06/1.09 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1)))))))) = $true)) )),
5.06/1.09 inference(combinator_demodulation,[],[f72])).
5.06/1.09 tff(f74,plain,(
5.06/1.09 ( ! [X2,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1))))))) = $true)) )),
5.06/1.09 inference(binary_proxy_clausification,[],[f73])).
5.06/1.09 tff(f75,plain,(
5.06/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1)))))) @ X3 = $true)) )),
5.06/1.09 inference(pi_clausification,[],[f74])).
5.06/1.09 tff(f76,plain,(
5.06/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vIMP @ (in @ X3 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3)))))) = $true)) )),
5.06/1.09 inference(combinator_demodulation,[],[f75])).
5.06/1.09 tff(f77,plain,(
5.06/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3))))) = $true)) )),
5.06/1.09 inference(binary_proxy_clausification,[],[f76])).
5.06/1.09 tff(f78,plain,(
5.06/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3)))) @ X4 = $true)) )),
5.06/1.09 inference(pi_clausification,[],[f77])).
5.06/1.09 tff(f79,plain,(
5.06/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vIMP @ (in @ X4 @ X2) @ (vIMP @ (in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) @ (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3)))) = $true)) )),
5.06/1.09 inference(combinator_demodulation,[],[f78])).
5.06/1.09 tff(f80,plain,(
5.06/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X4 @ X2 = $false) | (vIMP @ (in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) @ (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3))) = $true)) )),
5.06/1.09 inference(binary_proxy_clausification,[],[f79])).
5.06/1.09 tff(f81,plain,(
5.06/1.09 ( ! [X4,X2,X3,X1] : ((in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X4 @ X2 = $false) | (in @ X1 @ (powerset @ X2) = $false) | (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3)) = $true)) )),
5.06/1.09 inference(binary_proxy_clausification,[],[f80])).
5.06/1.09 tff(f82,plain,(
5.06/1.09 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ setminus)) @ binunion)))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ binintersect) @ (cCOMB @ setminus)))) @ setminus)))))))) @ X1 = $true)) )),
5.06/1.09 inference(pi_clausification,[],[f44])).
5.06/1.09 tff(f83,plain,(
5.06/1.09 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ (bCOMB @ bCOMB @ setminus) @ (binunion @ X1)))))) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ binintersect @ (cCOMB @ setminus @ X1))) @ setminus)))))))) = $true)) )),
5.06/1.09 inference(combinator_demodulation,[],[f82])).
5.46/1.09 tff(f84,plain,(
5.46/1.09 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ (bCOMB @ bCOMB @ setminus) @ (binunion @ X1)))))) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ binintersect @ (cCOMB @ setminus @ X1))) @ setminus))))))) @ X2 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f83])).
5.46/1.09 tff(f85,plain,(
5.46/1.09 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2)))))))) = $true)) )),
5.46/1.09 inference(combinator_demodulation,[],[f84])).
5.46/1.09 tff(f86,plain,(
5.46/1.09 ( ! [X2,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2))))))) = $true)) )),
5.46/1.09 inference(binary_proxy_clausification,[],[f85])).
5.46/1.09 tff(f87,plain,(
5.46/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (setminus @ X2) @ (binunion @ X1))))) @ (bCOMB @ (cCOMB @ in) @ (bCOMB @ (binintersect @ (setminus @ X2 @ X1)) @ (setminus @ X2)))))) @ X3 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f86])).
5.46/1.09 tff(f88,plain,(
5.46/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vIMP @ (in @ X3 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3)))) @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))))) = $true)) )),
5.46/1.09 inference(combinator_demodulation,[],[f87])).
5.46/1.09 tff(f89,plain,(
5.46/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3)))) @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))))) = $true)) )),
5.46/1.09 inference(binary_proxy_clausification,[],[f88])).
5.46/1.09 tff(f90,plain,(
5.46/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (setminus @ X2 @ (binunion @ X1 @ X3)))) @ (cCOMB @ in @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) @ X4 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f89])).
5.46/1.09 tff(f91,plain,(
5.46/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vIMP @ (in @ X4 @ X2) @ (vIMP @ (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3))) @ (in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) = $true)) )),
5.46/1.09 inference(combinator_demodulation,[],[f90])).
5.46/1.09 tff(f92,plain,(
5.46/1.09 ( ! [X4,X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X4 @ X2 = $false) | (vIMP @ (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3))) @ (in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) = $true)) )),
5.46/1.09 inference(binary_proxy_clausification,[],[f91])).
5.46/1.09 tff(f93,plain,(
5.46/1.09 ( ! [X4,X2,X3,X1] : ((in @ X4 @ (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)) = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ X4 @ X2 = $false) | (in @ X4 @ (setminus @ X2 @ (binunion @ X1 @ X3)) = $false) | (in @ X1 @ (powerset @ X2) = $false)) )),
5.46/1.09 inference(binary_proxy_clausification,[],[f92])).
5.46/1.09 tff(f94,plain,(
5.46/1.09 ( ! [X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ bCOMB @ in) @ powerset))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ in))))))) @ vEQ('$i')))))) @ X1 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f43])).
5.46/1.09 tff(f95,plain,(
5.46/1.09 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1)))))) @ (vEQ('$i') @ X1)))))) = $true)) )),
5.46/1.09 inference(combinator_demodulation,[],[f94])).
5.46/1.09 % (15723)Refutation not found, incomplete strategy
5.46/1.09 % (15723)------------------------------
5.46/1.09 % (15723)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.46/1.09 % (15723)Termination reason: Refutation not found, incomplete strategy
5.46/1.09
5.46/1.09 % (15723)Memory used [KB]: 11641
5.46/1.09 % (15723)Time elapsed: 0.098 s
5.46/1.09 % (15723)------------------------------
5.46/1.09 % (15723)------------------------------
5.46/1.09 tff(f96,plain,(
5.46/1.09 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ powerset)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ powerset))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1)))))) @ (vEQ('$i') @ X1))))) @ X2 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f95])).
5.46/1.09 tff(f97,plain,(
5.46/1.09 ( ! [X2,X1] : ((vIMP @ (in @ X1 @ (powerset @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1))))) @ (vEQ('$i') @ X1))))) = $true)) )),
5.46/1.09 inference(combinator_demodulation,[],[f96])).
5.46/1.09 tff(f98,plain,(
5.46/1.09 ( ! [X2,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1))))) @ (vEQ('$i') @ X1)))) = $true)) )),
5.46/1.09 inference(binary_proxy_clausification,[],[f97])).
5.46/1.09 tff(f99,plain,(
5.46/1.09 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (powerset @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1))) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ in @ X1))))) @ (vEQ('$i') @ X1))) @ X3 = $true)) )),
5.46/1.09 inference(pi_clausification,[],[f98])).
5.46/1.10 tff(f100,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (vIMP @ (in @ X3 @ (powerset @ X2)) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)))) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)))) @ (vEQ('$i') @ X1 @ X3))) = $true)) )),
5.46/1.10 inference(combinator_demodulation,[],[f99])).
5.46/1.10 tff(f101,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)))) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)))) @ (vEQ('$i') @ X1 @ X3)) = $true)) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f100])).
5.46/1.10 tff(f102,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3))) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)))) @ (vEQ('$i') @ X1 @ X3) = $true)) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f101])).
5.46/1.10 tff(f103,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)) @ (sK3 @ X3 @ X2 @ X1) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)))) @ (vEQ('$i') @ X1 @ X3) = $true)) )),
5.46/1.10 inference(sigma_clausification,[],[f102])).
5.46/1.10 tff(f104,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)) @ (sK3 @ X3 @ X2 @ X1) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1))) = $false) | (vEQ('$i') @ X1 @ X3 = $true)) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f103])).
5.46/1.10 tff(f105,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)) @ (sK3 @ X3 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)) @ (sK4 @ X3 @ X2 @ X1) = $false) | (vEQ('$i') @ X1 @ X3 = $true)) )),
5.46/1.10 inference(sigma_clausification,[],[f104])).
5.46/1.10 tff(f106,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X1)) @ (cCOMB @ in @ X3)) @ (sK3 @ X3 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X2)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ in @ X1)) @ (sK4 @ X3 @ X2 @ X1) = $false) | X1 = X3) )),
5.46/1.10 inference(equality_proxy_clausification,[],[f105])).
5.46/1.10 tff(f107,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vIMP @ (in @ (sK3 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK3 @ X3 @ X2 @ X1) @ X1) @ (in @ (sK3 @ X3 @ X2 @ X1) @ X3)) = $false) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1)) = $false) | X1 = X3) )),
5.46/1.10 inference(combinator_demodulation,[],[f106])).
5.46/1.10 tff(f108,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X2 = $true) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1)) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f107])).
5.46/1.10 tff(f109,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (vIMP @ (in @ (sK3 @ X3 @ X2 @ X1) @ X1) @ (in @ (sK3 @ X3 @ X2 @ X1) @ X3) = $false) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1)) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f107])).
5.46/1.10 tff(f110,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X1 = $true) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1)) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f109])).
5.46/1.10 tff(f111,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X3 = $false) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X2) @ (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1)) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f109])).
5.46/1.10 tff(f112,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X3 = $false) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f111])).
5.46/1.10 tff(f113,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X3 = $false) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f111])).
5.46/1.10 tff(f114,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X3 = $false) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f113])).
5.46/1.10 tff(f115,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X1 = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X3 = $false) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f113])).
5.46/1.10 tff(f116,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X1 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f110])).
5.46/1.10 tff(f117,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X1 = $true) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f110])).
5.46/1.10 tff(f118,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X1 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f117])).
5.46/1.10 tff(f119,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X1 = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X1 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f117])).
5.46/1.10 tff(f120,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f108])).
5.46/1.10 tff(f121,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ X1 @ (powerset @ X2) = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X2 = $true) | (vIMP @ (in @ (sK4 @ X3 @ X2 @ X1) @ X3) @ (in @ (sK4 @ X3 @ X2 @ X1) @ X1) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f108])).
5.46/1.10 tff(f122,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f121])).
5.46/1.10 tff(f123,plain,(
5.46/1.10 ( ! [X2,X3,X1] : ((in @ (sK4 @ X3 @ X2 @ X1) @ X1 = $false) | (in @ X3 @ (powerset @ X2) = $false) | (in @ (sK3 @ X3 @ X2 @ X1) @ X2 = $true) | (in @ X1 @ (powerset @ X2) = $false) | X1 = X3) )),
5.46/1.10 inference(binary_proxy_clausification,[],[f121])).
5.46/1.10 tff(f156,plain,(
5.46/1.10 ( ! [X6,X8,X7,X5,X9] : (($false = $true) | (in @ X7 @ (powerset @ X5) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ X5 = $false) | (in @ X6 @ (powerset @ X5) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ (setminus @ X5 @ (binunion @ X6 @ X7)) = $true) | (in @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ (powerset @ X8) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ X8 = $true) | (in @ X9 @ (powerset @ X8) = $false) | binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7) = X9) )),
5.46/1.10 inference(superposition,[],[f81,f122])).
5.46/1.10 tff(f157,plain,(
5.46/1.10 ( ! [X6,X8,X7,X5,X9] : ((in @ (sK4 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ (setminus @ X5 @ (binunion @ X6 @ X7)) = $true) | (in @ (sK4 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ X5 = $false) | (in @ X6 @ (powerset @ X5) = $false) | (in @ X7 @ (powerset @ X5) = $false) | (in @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ (powerset @ X8) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7)) @ X8 @ X9) @ X8 = $true) | (in @ X9 @ (powerset @ X8) = $false) | binintersect @ (setminus @ X5 @ X6) @ (setminus @ X5 @ X7) = X9) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f156])).
5.46/1.10 tff(f203,plain,(
5.46/1.10 ( ! [X19,X17,X20,X18,X16] : (($false = $true) | (in @ X18 @ (powerset @ X16) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ X16 = $false) | (in @ X17 @ (powerset @ X16) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ (setminus @ X16 @ (binunion @ X17 @ X18)) = $true) | (in @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ (powerset @ X19) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) = $false) | (in @ X20 @ (powerset @ X19) = $false) | binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18) = X20) )),
5.46/1.10 inference(superposition,[],[f81,f114])).
5.46/1.10 tff(f204,plain,(
5.46/1.10 ( ! [X19,X17,X20,X18,X16] : ((in @ (sK3 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ X16 = $false) | (in @ X17 @ (powerset @ X16) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ X19 @ X20) @ (setminus @ X16 @ (binunion @ X17 @ X18)) = $true) | (in @ (binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18)) @ (powerset @ X19) = $false) | (in @ X18 @ (powerset @ X16) = $false) | (in @ X20 @ (powerset @ X19) = $false) | binintersect @ (setminus @ X16 @ X17) @ (setminus @ X16 @ X18) = X20) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f203])).
5.46/1.10 tff(f242,plain,(
5.46/1.10 ( ! [X24,X23,X21,X25,X22] : (($false = $true) | (in @ X23 @ (powerset @ X21) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ X21 = $false) | (in @ X22 @ (powerset @ X21) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ (setminus @ X21 @ (binunion @ X22 @ X23)) = $true) | (in @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ (powerset @ X24) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ X25 = $true) | (in @ X25 @ (powerset @ X24) = $false) | binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23) = X25) )),
5.46/1.10 inference(superposition,[],[f81,f118])).
5.46/1.10 tff(f243,plain,(
5.46/1.10 ( ! [X24,X23,X21,X25,X22] : ((in @ (sK4 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ (setminus @ X21 @ (binunion @ X22 @ X23)) = $true) | (in @ (sK4 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ X21 = $false) | (in @ X22 @ (powerset @ X21) = $false) | (in @ X23 @ (powerset @ X21) = $false) | (in @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ (powerset @ X24) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23)) @ X24 @ X25) @ X25 = $true) | (in @ X25 @ (powerset @ X24) = $false) | binintersect @ (setminus @ X21 @ X22) @ (setminus @ X21 @ X23) = X25) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f242])).
5.46/1.10 tff(f353,plain,(
5.46/1.10 ( ! [X35,X33,X36,X34] : (($false = $true) | (in @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ (powerset @ X36) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X36 = $true) | (in @ (setminus @ X33 @ (binunion @ X34 @ X35)) @ (powerset @ X36) = $false) | setminus @ X33 @ (binunion @ X34 @ X35) = binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35) | (in @ (sK4 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X33 = $false) | (in @ X34 @ (powerset @ X33) = $false) | (in @ X35 @ (powerset @ X33) = $false) | (in @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ (powerset @ X36) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X36 = $true) | (in @ (setminus @ X33 @ (binunion @ X34 @ X35)) @ (powerset @ X36) = $false) | setminus @ X33 @ (binunion @ X34 @ X35) = binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) )),
5.46/1.10 inference(superposition,[],[f123,f157])).
5.46/1.10 tff(f354,plain,(
5.46/1.10 ( ! [X35,X33,X36,X34] : (($false = $true) | (in @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ (powerset @ X36) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X36 = $true) | (in @ (setminus @ X33 @ (binunion @ X34 @ X35)) @ (powerset @ X36) = $false) | setminus @ X33 @ (binunion @ X34 @ X35) = binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35) | (in @ (sK4 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X33 = $false) | (in @ X34 @ (powerset @ X33) = $false) | (in @ X35 @ (powerset @ X33) = $false)) )),
5.46/1.10 inference(duplicate_literal_removal,[],[f353])).
5.46/1.10 tff(f355,plain,(
5.46/1.10 ( ! [X35,X33,X36,X34] : ((in @ (sK4 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X33 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ X36 @ (setminus @ X33 @ (binunion @ X34 @ X35))) @ X36 = $true) | (in @ (setminus @ X33 @ (binunion @ X34 @ X35)) @ (powerset @ X36) = $false) | setminus @ X33 @ (binunion @ X34 @ X35) = binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35) | (in @ (binintersect @ (setminus @ X33 @ X34) @ (setminus @ X33 @ X35)) @ (powerset @ X36) = $false) | (in @ X34 @ (powerset @ X33) = $false) | (in @ X35 @ (powerset @ X33) = $false)) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f354])).
5.46/1.10 tff(f497,plain,(
5.46/1.10 ( ! [X6,X8,X7] : (($false = $true) | (in @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ (powerset @ X6) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ X6 @ (setminus @ X6 @ (binunion @ X7 @ X8))) @ X6 = $true) | (in @ (setminus @ X6 @ (binunion @ X7 @ X8)) @ (powerset @ X6) = $false) | setminus @ X6 @ (binunion @ X7 @ X8) = binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8) | (in @ (sK3 @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ X6 @ (setminus @ X6 @ (binunion @ X7 @ X8))) @ X6 = $true) | (in @ (setminus @ X6 @ (binunion @ X7 @ X8)) @ (powerset @ X6) = $false) | setminus @ X6 @ (binunion @ X7 @ X8) = binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8) | (in @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ (powerset @ X6) = $false) | (in @ X7 @ (powerset @ X6) = $false) | (in @ X8 @ (powerset @ X6) = $false)) )),
5.46/1.10 inference(superposition,[],[f120,f355])).
5.46/1.10 tff(f511,plain,(
5.46/1.10 ( ! [X6,X8,X7] : (($false = $true) | (in @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ (powerset @ X6) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ X6 @ (setminus @ X6 @ (binunion @ X7 @ X8))) @ X6 = $true) | (in @ (setminus @ X6 @ (binunion @ X7 @ X8)) @ (powerset @ X6) = $false) | setminus @ X6 @ (binunion @ X7 @ X8) = binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8) | (in @ X7 @ (powerset @ X6) = $false) | (in @ X8 @ (powerset @ X6) = $false)) )),
5.46/1.10 inference(duplicate_literal_removal,[],[f497])).
5.46/1.10 tff(f512,plain,(
5.46/1.10 ( ! [X6,X8,X7] : ((in @ (sK3 @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ X6 @ (setminus @ X6 @ (binunion @ X7 @ X8))) @ X6 = $true) | (in @ (binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8)) @ (powerset @ X6) = $false) | (in @ (setminus @ X6 @ (binunion @ X7 @ X8)) @ (powerset @ X6) = $false) | setminus @ X6 @ (binunion @ X7 @ X8) = binintersect @ (setminus @ X6 @ X7) @ (setminus @ X6 @ X8) | (in @ X7 @ (powerset @ X6) = $false) | (in @ X8 @ (powerset @ X6) = $false)) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f511])).
5.46/1.10 tff(f657,plain,(
5.46/1.10 ( ! [X47,X50,X48,X49] : (($false = $true) | (in @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ (powerset @ X50) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ (setminus @ X47 @ (binunion @ X48 @ X49)) = $true) | (in @ (setminus @ X47 @ (binunion @ X48 @ X49)) @ (powerset @ X50) = $false) | setminus @ X47 @ (binunion @ X48 @ X49) = binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49) | (in @ (sK4 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ X47 = $false) | (in @ X48 @ (powerset @ X47) = $false) | (in @ X49 @ (powerset @ X47) = $false) | (in @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ (powerset @ X50) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ (setminus @ X47 @ (binunion @ X48 @ X49)) = $true) | (in @ (setminus @ X47 @ (binunion @ X48 @ X49)) @ (powerset @ X50) = $false) | setminus @ X47 @ (binunion @ X48 @ X49) = binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) )),
5.46/1.10 inference(superposition,[],[f119,f243])).
5.46/1.10 tff(f664,plain,(
5.46/1.10 ( ! [X47,X50,X48,X49] : (($false = $true) | (in @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ (powerset @ X50) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ (setminus @ X47 @ (binunion @ X48 @ X49)) = $true) | (in @ (setminus @ X47 @ (binunion @ X48 @ X49)) @ (powerset @ X50) = $false) | setminus @ X47 @ (binunion @ X48 @ X49) = binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49) | (in @ (sK4 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ X47 = $false) | (in @ X48 @ (powerset @ X47) = $false) | (in @ X49 @ (powerset @ X47) = $false)) )),
5.46/1.10 inference(duplicate_literal_removal,[],[f657])).
5.46/1.10 tff(f665,plain,(
5.46/1.10 ( ! [X47,X50,X48,X49] : ((in @ (sK3 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ (setminus @ X47 @ (binunion @ X48 @ X49)) = $true) | (in @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ (powerset @ X50) = $false) | (in @ (setminus @ X47 @ (binunion @ X48 @ X49)) @ (powerset @ X50) = $false) | setminus @ X47 @ (binunion @ X48 @ X49) = binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49) | (in @ (sK4 @ (binintersect @ (setminus @ X47 @ X48) @ (setminus @ X47 @ X49)) @ X50 @ (setminus @ X47 @ (binunion @ X48 @ X49))) @ X47 = $false) | (in @ X48 @ (powerset @ X47) = $false) | (in @ X49 @ (powerset @ X47) = $false)) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f664])).
5.46/1.10 tff(f728,plain,(
5.46/1.10 ( ! [X6,X4,X8,X7,X5] : (($false = $true) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $false) | (in @ X5 @ (powerset @ X4) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ X5 @ (powerset @ X4) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X7) = $false) | (in @ X6 @ (powerset @ X4) = $false) | (in @ X8 @ (powerset @ X7) = $false) | binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) = X8) )),
5.46/1.10 inference(superposition,[],[f93,f204])).
5.46/1.10 tff(f730,plain,(
5.46/1.10 ( ! [X6,X4,X8,X7,X5] : (($false = $true) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $false) | (in @ X5 @ (powerset @ X4) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X7) = $false) | (in @ X8 @ (powerset @ X7) = $false) | binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) = X8) )),
5.46/1.10 inference(duplicate_literal_removal,[],[f728])).
5.46/1.10 tff(f731,plain,(
5.46/1.10 ( ! [X6,X4,X8,X7,X5] : ((in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $false) | (in @ X5 @ (powerset @ X4) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X7 @ X8) @ X4 = $false) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X7) = $false) | (in @ X8 @ (powerset @ X7) = $false) | binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) = X8) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f730])).
5.46/1.10 tff(f835,plain,(
5.46/1.10 ( ! [X68,X66,X67,X65] : (($false = $true) | (in @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ (powerset @ X68) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) = $false) | (in @ (setminus @ X65 @ (binunion @ X66 @ X67)) @ (powerset @ X68) = $false) | setminus @ X65 @ (binunion @ X66 @ X67) = binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (setminus @ X65 @ (binunion @ X66 @ X67)) = $false) | (in @ X66 @ (powerset @ X65) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ X67 @ (powerset @ X65) = $false) | (in @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ (powerset @ X68) = $false) | (in @ (setminus @ X65 @ (binunion @ X66 @ X67)) @ (powerset @ X68) = $false) | setminus @ X65 @ (binunion @ X66 @ X67) = binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) )),
5.46/1.10 inference(superposition,[],[f115,f731])).
5.46/1.10 tff(f839,plain,(
5.46/1.10 ( ! [X68,X66,X67,X65] : (($false = $true) | (in @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ (powerset @ X68) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) = $false) | (in @ (setminus @ X65 @ (binunion @ X66 @ X67)) @ (powerset @ X68) = $false) | setminus @ X65 @ (binunion @ X66 @ X67) = binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (setminus @ X65 @ (binunion @ X66 @ X67)) = $false) | (in @ X66 @ (powerset @ X65) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ X67 @ (powerset @ X65) = $false)) )),
5.46/1.10 inference(duplicate_literal_removal,[],[f835])).
5.46/1.10 tff(f840,plain,(
5.46/1.10 ( ! [X68,X66,X67,X65] : ((in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) = $false) | (in @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ (powerset @ X68) = $false) | (in @ (setminus @ X65 @ (binunion @ X66 @ X67)) @ (powerset @ X68) = $false) | setminus @ X65 @ (binunion @ X66 @ X67) = binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ (setminus @ X65 @ (binunion @ X66 @ X67)) = $false) | (in @ X66 @ (powerset @ X65) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X65 @ X66) @ (setminus @ X65 @ X67)) @ X68 @ (setminus @ X65 @ (binunion @ X66 @ X67))) @ X65 = $false) | (in @ X67 @ (powerset @ X65) = $false)) )),
5.46/1.10 inference(trivial_inequality_removal,[],[f839])).
5.46/1.10 tff(f928,plain,(
5.46/1.10 ( ! [X6,X4,X5,X3] : (($false = $true) | (in @ X5 @ (powerset @ X3) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ (setminus @ X3 @ (binunion @ X4 @ X5)) = $false) | (in @ X4 @ (powerset @ X3) = $false) | (in @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ (powerset @ X6) = $false) | (in @ (setminus @ X3 @ (binunion @ X4 @ X5)) @ (powerset @ X6) = $false) | setminus @ X3 @ (binunion @ X4 @ X5) = binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ (setminus @ X3 @ (binunion @ X4 @ X5)) = $false) | (in @ X4 @ (powerset @ X3) = $false) | (in @ (sK4 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false) | (in @ X5 @ (powerset @ X3) = $false)) )),
5.46/1.10 inference(superposition,[],[f93,f840])).
5.46/1.11 tff(f929,plain,(
5.46/1.11 ( ! [X6,X4,X5,X3] : (($false = $true) | (in @ X5 @ (powerset @ X3) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ (setminus @ X3 @ (binunion @ X4 @ X5)) = $false) | (in @ X4 @ (powerset @ X3) = $false) | (in @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ (powerset @ X6) = $false) | (in @ (setminus @ X3 @ (binunion @ X4 @ X5)) @ (powerset @ X6) = $false) | setminus @ X3 @ (binunion @ X4 @ X5) = binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5) | (in @ (sK4 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f928])).
5.46/1.11 tff(f930,plain,(
5.46/1.11 ( ! [X6,X4,X5,X3] : ((in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ (setminus @ X3 @ (binunion @ X4 @ X5)) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false) | (in @ X5 @ (powerset @ X3) = $false) | (in @ X4 @ (powerset @ X3) = $false) | (in @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ (powerset @ X6) = $false) | (in @ (setminus @ X3 @ (binunion @ X4 @ X5)) @ (powerset @ X6) = $false) | setminus @ X3 @ (binunion @ X4 @ X5) = binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5) | (in @ (sK4 @ (binintersect @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X5)) @ X6 @ (setminus @ X3 @ (binunion @ X4 @ X5))) @ X3 = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f929])).
5.46/1.11 tff(f985,plain,(
5.46/1.11 ( ! [X10,X8,X7,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X10) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X10) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (sK4 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ X8 @ (powerset @ X7) = $false) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X10) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X10) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (sK4 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(superposition,[],[f665,f930])).
5.46/1.11 tff(f989,plain,(
5.46/1.11 ( ! [X10,X8,X7,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X10) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X10) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (sK4 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f985])).
5.46/1.11 tff(f990,plain,(
5.46/1.11 ( ! [X10,X8,X7,X9] : ((in @ (sK4 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X10) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X10) = $false) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X10 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f989])).
5.46/1.11 tff(f1053,plain,(
5.46/1.11 ( ! [X6,X4,X5] : (($false = $true) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (setminus @ X4 @ (binunion @ X5 @ X6)) @ (powerset @ X4) = $false) | setminus @ X4 @ (binunion @ X5 @ X6) = binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) | (in @ (setminus @ X4 @ (binunion @ X5 @ X6)) @ (powerset @ X4) = $false) | setminus @ X4 @ (binunion @ X5 @ X6) = binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X4) = $false) | (in @ X5 @ (powerset @ X4) = $false) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ X4 = $false)) )),
5.46/1.11 inference(superposition,[],[f116,f990])).
5.46/1.11 tff(f1054,plain,(
5.46/1.11 ( ! [X8,X7,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X7) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X7) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X7) = $false) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(superposition,[],[f112,f990])).
5.46/1.11 tff(f1071,plain,(
5.46/1.11 ( ! [X8,X7,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X7) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f1054])).
5.46/1.11 tff(f1072,plain,(
5.46/1.11 ( ! [X8,X7,X9] : ((in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) = $false) | (in @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ (powerset @ X7) = $false) | (in @ (setminus @ X7 @ (binunion @ X8 @ X9)) @ (powerset @ X7) = $false) | setminus @ X7 @ (binunion @ X8 @ X9) = binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9) | (in @ X8 @ (powerset @ X7) = $false) | (in @ X9 @ (powerset @ X7) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X7 @ X8) @ (setminus @ X7 @ X9)) @ X7 @ (setminus @ X7 @ (binunion @ X8 @ X9))) @ X7 = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f1071])).
5.46/1.11 tff(f1073,plain,(
5.46/1.11 ( ! [X6,X4,X5] : (($false = $true) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (setminus @ X4 @ (binunion @ X5 @ X6)) @ (powerset @ X4) = $false) | setminus @ X4 @ (binunion @ X5 @ X6) = binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) | (in @ X5 @ (powerset @ X4) = $false) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ X4 = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f1053])).
5.46/1.11 tff(f1074,plain,(
5.46/1.11 ( ! [X6,X4,X5] : ((in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ (setminus @ X4 @ (binunion @ X5 @ X6)) = $true) | (in @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ (powerset @ X4) = $false) | (in @ (setminus @ X4 @ (binunion @ X5 @ X6)) @ (powerset @ X4) = $false) | setminus @ X4 @ (binunion @ X5 @ X6) = binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6) | (in @ X5 @ (powerset @ X4) = $false) | (in @ X6 @ (powerset @ X4) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X4 @ X5) @ (setminus @ X4 @ X6)) @ X4 @ (setminus @ X4 @ (binunion @ X5 @ X6))) @ X4 = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f1073])).
5.46/1.11 tff(f1152,plain,(
5.46/1.11 ( ! [X2,X0,X1] : (($false = $true) | (in @ X2 @ (powerset @ X0) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ X0 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ (setminus @ X0 @ (binunion @ X1 @ X2)) = $false) | (in @ X1 @ (powerset @ X0) = $false) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) | (in @ X1 @ (powerset @ X0) = $false) | (in @ X2 @ (powerset @ X0) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ X0 = $false)) )),
5.46/1.11 inference(superposition,[],[f93,f1072])).
5.46/1.11 tff(f1153,plain,(
5.46/1.11 ( ! [X2,X0,X1] : (($false = $true) | (in @ X2 @ (powerset @ X0) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ X0 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ (setminus @ X0 @ (binunion @ X1 @ X2)) = $false) | (in @ X1 @ (powerset @ X0) = $false) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f1152])).
5.46/1.11 tff(f1154,plain,(
5.46/1.11 ( ! [X2,X0,X1] : ((in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ (setminus @ X0 @ (binunion @ X1 @ X2)) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ X0 @ (setminus @ X0 @ (binunion @ X1 @ X2))) @ X0 = $false) | (in @ X2 @ (powerset @ X0) = $false) | (in @ X1 @ (powerset @ X0) = $false) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f1153])).
5.46/1.11 tff(f1162,plain,(
5.46/1.11 ( ! [X10,X11,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ (powerset @ X9) = $false) | (in @ (setminus @ X9 @ (binunion @ X10 @ X11)) @ (powerset @ X9) = $false) | setminus @ X9 @ (binunion @ X10 @ X11) = binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11) | (in @ X10 @ (powerset @ X9) = $false) | (in @ X11 @ (powerset @ X9) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ X9 @ (setminus @ X9 @ (binunion @ X10 @ X11))) @ X9 = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ X9 @ (setminus @ X9 @ (binunion @ X10 @ X11))) @ X9 = $false) | (in @ X11 @ (powerset @ X9) = $false) | (in @ X10 @ (powerset @ X9) = $false) | (in @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ (powerset @ X9) = $false) | (in @ (setminus @ X9 @ (binunion @ X10 @ X11)) @ (powerset @ X9) = $false) | setminus @ X9 @ (binunion @ X10 @ X11) = binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) )),
5.46/1.11 inference(superposition,[],[f1074,f1154])).
5.46/1.11 tff(f1163,plain,(
5.46/1.11 ( ! [X10,X11,X9] : (($false = $true) | (in @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ (powerset @ X9) = $false) | (in @ (setminus @ X9 @ (binunion @ X10 @ X11)) @ (powerset @ X9) = $false) | setminus @ X9 @ (binunion @ X10 @ X11) = binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11) | (in @ X10 @ (powerset @ X9) = $false) | (in @ X11 @ (powerset @ X9) = $false) | (in @ (sK3 @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ X9 @ (setminus @ X9 @ (binunion @ X10 @ X11))) @ X9 = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f1162])).
5.46/1.11 tff(f1164,plain,(
5.46/1.11 ( ! [X10,X11,X9] : ((in @ (sK3 @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ X9 @ (setminus @ X9 @ (binunion @ X10 @ X11))) @ X9 = $false) | (in @ (setminus @ X9 @ (binunion @ X10 @ X11)) @ (powerset @ X9) = $false) | setminus @ X9 @ (binunion @ X10 @ X11) = binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11) | (in @ X10 @ (powerset @ X9) = $false) | (in @ X11 @ (powerset @ X9) = $false) | (in @ (binintersect @ (setminus @ X9 @ X10) @ (setminus @ X9 @ X11)) @ (powerset @ X9) = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f1163])).
5.46/1.11 tff(f1180,plain,(
5.46/1.11 ( ! [X2,X0,X1] : (($false = $true) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) | (in @ X1 @ (powerset @ X0) = $false) | (in @ X2 @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) | (in @ X1 @ (powerset @ X0) = $false) | (in @ X2 @ (powerset @ X0) = $false) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false)) )),
5.46/1.11 inference(superposition,[],[f512,f1164])).
5.46/1.11 tff(f1188,plain,(
5.46/1.11 ( ! [X2,X0,X1] : (($false = $true) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) | (in @ X1 @ (powerset @ X0) = $false) | (in @ X2 @ (powerset @ X0) = $false)) )),
5.46/1.11 inference(duplicate_literal_removal,[],[f1180])).
5.46/1.11 tff(f1189,plain,(
5.46/1.11 ( ! [X2,X0,X1] : (setminus @ X0 @ (binunion @ X1 @ X2) = binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2) | (in @ (setminus @ X0 @ (binunion @ X1 @ X2)) @ (powerset @ X0) = $false) | (in @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (powerset @ X0) = $false) | (in @ X1 @ (powerset @ X0) = $false) | (in @ X2 @ (powerset @ X0) = $false)) )),
5.46/1.11 inference(trivial_inequality_removal,[],[f1188])).
5.46/1.11 tff(f1203,plain,(
5.46/1.11 setminus @ sK0 @ (binunion @ sK1 @ sK2) != setminus @ sK0 @ (binunion @ sK1 @ sK2) | (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f36,f1189])).
5.46/1.11 tff(f1311,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1203])).
5.46/1.11 tff(f1312,plain,(
5.46/1.11 ($false = $true) | (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(forward_demodulation,[],[f1311,f34])).
5.46/1.11 tff(f1313,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1312])).
5.46/1.11 tff(f1314,plain,(
5.46/1.11 ($false = $true) | (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(forward_demodulation,[],[f1313,f35])).
5.46/1.11 tff(f1315,plain,(
5.46/1.11 (in @ (binintersect @ (setminus @ sK0 @ sK1) @ (setminus @ sK0 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1314])).
5.46/1.11 tff(f1328,plain,(
5.46/1.11 ($false = $true) | (in @ (setminus @ sK0 @ sK2) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f61,f1315])).
5.46/1.11 tff(f1329,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ (binunion @ sK1 @ sK2)) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1328])).
5.46/1.11 tff(f1333,plain,(
5.46/1.11 ($false = $true) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f53,f1329])).
5.46/1.11 tff(f1334,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ sK2) @ (powerset @ sK0) = $false) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1333])).
5.46/1.11 tff(f1347,plain,(
5.46/1.11 ($false = $true) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f1334,f53])).
5.46/1.11 tff(f1350,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1347])).
5.46/1.11 tff(f1351,plain,(
5.46/1.11 ($false = $true) | (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(forward_demodulation,[],[f1350,f35])).
5.46/1.11 tff(f1352,plain,(
5.46/1.11 (in @ (setminus @ sK0 @ sK1) @ (powerset @ sK0) = $false) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1351])).
5.46/1.11 tff(f1366,plain,(
5.46/1.11 ($false = $true) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f1352,f53])).
5.46/1.11 tff(f1369,plain,(
5.46/1.11 (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1366])).
5.46/1.11 tff(f1370,plain,(
5.46/1.11 ($false = $true) | (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(forward_demodulation,[],[f1369,f34])).
5.46/1.11 tff(f1371,plain,(
5.46/1.11 (in @ (binunion @ sK1 @ sK2) @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1370])).
5.46/1.11 tff(f1385,plain,(
5.46/1.11 ($false = $true) | (in @ sK2 @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(superposition,[],[f1371,f69])).
5.46/1.11 tff(f1388,plain,(
5.46/1.11 (in @ sK2 @ (powerset @ sK0) = $false) | (in @ sK1 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1385])).
5.46/1.11 tff(f1389,plain,(
5.46/1.11 ($false = $true) | (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(forward_demodulation,[],[f1388,f34])).
5.46/1.11 tff(f1390,plain,(
5.46/1.11 (in @ sK2 @ (powerset @ sK0) = $false)),
5.46/1.11 inference(trivial_inequality_removal,[],[f1389])).
5.46/1.11 tff(f1393,plain,(
5.46/1.11 ($false = $true)),
5.46/1.11 inference(backward_demodulation,[],[f1390,f35])).
5.46/1.11 tff(f1394,plain,(
5.46/1.11 $false),
5.46/1.11 inference(trivial_inequality_removal,[],[f1393])).
5.46/1.11 % SZS output end Proof for theBenchmark
5.46/1.11 % (15690)------------------------------
5.46/1.11 % (15690)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
5.46/1.11 % (15690)Termination reason: Refutation
5.46/1.11
5.46/1.11 % (15690)Memory used [KB]: 3454
5.46/1.11 % (15690)Time elapsed: 0.729 s
5.46/1.11 % (15690)------------------------------
5.46/1.11 % (15690)------------------------------
5.46/1.11 % (15681)Success in time 0.749 s
5.46/1.12 EOF