0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d 0.11/0.31 % Computer : n023.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Thu Jul 2 07:47:13 EDT 2020 0.11/0.32 % CPUTime : 0.16/0.35 % (22325)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 0.16/0.36 % (22308)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 0.16/0.36 % (22330)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 0.16/0.36 % (22309)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 0.16/0.36 % (22322)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 0.16/0.38 % (22331)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 0.16/0.38 % (22310)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 0.16/0.38 % (22307)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 0.16/0.38 % (22315)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 0.16/0.38 % (22326)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 0.16/0.38 % (22304)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 0.16/0.38 % (22323)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 0.16/0.39 % (22306)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 0.16/0.39 % (22318)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 0.16/0.39 % (22312)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 0.16/0.39 % (22321)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 0.16/0.40 % (22303)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 0.16/0.40 % (22305)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 0.16/0.40 % (22316)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 0.16/0.40 % (22327)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 0.16/0.40 % (22328)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 0.16/0.40 % (22329)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 0.16/0.40 % (22319)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 0.16/0.41 % (22332)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 0.16/0.41 % (22311)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 0.16/0.41 % (22320)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 0.16/0.42 % (22314)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 0.16/0.42 % (22313)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 0.16/0.42 % (22324)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 0.16/0.43 % (22317)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 9.07/1.50 % (22306)Time limit reached! 9.07/1.50 % (22306)------------------------------ 9.07/1.50 % (22306)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.07/1.50 % (22306)Termination reason: Time limit 9.07/1.50 9.07/1.50 % (22306)Memory used [KB]: 22131 9.07/1.50 % (22306)Time elapsed: 1.130 s 9.07/1.50 % (22306)------------------------------ 9.07/1.50 % (22306)------------------------------ 9.07/1.51 % (22318)Time limit reached! 9.07/1.51 % (22318)------------------------------ 9.07/1.51 % (22318)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.07/1.51 % (22318)Termination reason: Time limit 9.07/1.51 9.07/1.51 % (22318)Memory used [KB]: 14200 9.07/1.51 % (22318)Time elapsed: 1.151 s 9.07/1.51 % (22318)------------------------------ 9.07/1.51 % (22318)------------------------------ 9.40/1.55 % (22333)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 9.40/1.57 % (22312)Time limit reached! 9.40/1.57 % (22312)------------------------------ 9.40/1.57 % (22312)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.40/1.57 % (22312)Termination reason: Time limit 9.40/1.57 9.40/1.57 % (22312)Memory used [KB]: 13816 9.40/1.57 % (22312)Time elapsed: 1.211 s 9.40/1.57 % (22312)------------------------------ 9.40/1.57 % (22312)------------------------------ 9.40/1.58 % (22334)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 9.40/1.59 % (22325)Time limit reached! 9.40/1.59 % (22325)------------------------------ 9.40/1.59 % (22325)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.40/1.59 % (22325)Termination reason: Time limit 9.40/1.59 9.40/1.59 % (22325)Memory used [KB]: 8827 9.40/1.59 % (22325)Time elapsed: 1.226 s 9.40/1.59 % (22325)------------------------------ 9.40/1.59 % (22325)------------------------------ 10.06/1.62 % (22335)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 10.06/1.66 % (22314)Time limit reached! 10.06/1.66 % (22314)------------------------------ 10.06/1.66 % (22314)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.06/1.66 % (22314)Termination reason: Time limit 10.06/1.66 10.06/1.66 % (22314)Memory used [KB]: 13816 10.06/1.66 % (22314)Time elapsed: 1.311 s 10.06/1.66 % (22314)------------------------------ 10.06/1.66 % (22314)------------------------------ 10.06/1.67 % (22305)Time limit reached! 10.06/1.67 % (22305)------------------------------ 10.06/1.67 % (22305)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.06/1.67 % (22305)Termination reason: Time limit 10.06/1.67 10.06/1.67 % (22305)Memory used [KB]: 14328 10.06/1.67 % (22305)Time elapsed: 1.321 s 10.06/1.67 % (22305)------------------------------ 10.06/1.67 % (22305)------------------------------ 10.06/1.68 % (22336)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 10.57/1.68 % (22322)Time limit reached! 10.57/1.68 % (22322)------------------------------ 10.57/1.68 % (22322)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.57/1.68 % (22322)Termination reason: Time limit 10.57/1.68 10.57/1.68 % (22322)Memory used [KB]: 9083 10.57/1.68 % (22322)Time elapsed: 1.334 s 10.57/1.68 % (22322)------------------------------ 10.57/1.68 % (22322)------------------------------ 10.57/1.71 % (22337)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark 10.57/1.72 % (22338)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 10.57/1.76 % (22340)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 11.64/1.83 % (22304)Time limit reached! 11.64/1.83 % (22304)------------------------------ 11.64/1.83 % (22304)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.64/1.83 % (22304)Termination reason: Time limit 11.64/1.83 % (22304)Termination phase: Saturation 11.64/1.83 11.64/1.83 % (22304)Memory used [KB]: 13176 11.64/1.83 % (22304)Time elapsed: 0.500 s 11.64/1.83 % (22304)------------------------------ 11.64/1.83 % (22304)------------------------------ 11.64/1.86 % (22307)Time limit reached! 11.64/1.86 % (22307)------------------------------ 11.64/1.86 % (22307)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.64/1.86 % (22307)Termination reason: Time limit 11.64/1.86 11.64/1.86 % (22307)Memory used [KB]: 11385 11.64/1.86 % (22307)Time elapsed: 1.511 s 11.64/1.86 % (22307)------------------------------ 11.64/1.86 % (22307)------------------------------ 11.64/1.87 % (22328)Time limit reached! 11.64/1.87 % (22328)------------------------------ 11.64/1.87 % (22328)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.64/1.87 % (22328)Termination reason: Time limit 11.64/1.87 % (22328)Termination phase: Saturation 11.64/1.87 11.64/1.87 % (22328)Memory used [KB]: 12025 11.64/1.87 % (22328)Time elapsed: 1.500 s 11.64/1.87 % (22328)------------------------------ 11.64/1.87 % (22328)------------------------------ 11.64/1.90 % (22317)Time limit reached! 11.64/1.90 % (22317)------------------------------ 11.64/1.90 % (22317)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.64/1.90 % (22317)Termination reason: Time limit 11.64/1.90 % (22317)Termination phase: Saturation 11.64/1.90 11.64/1.90 % (22317)Memory used [KB]: 7931 11.64/1.90 % (22317)Time elapsed: 0.400 s 11.64/1.90 % (22317)------------------------------ 11.64/1.90 % (22317)------------------------------ 11.64/1.90 % (22316)Time limit reached! 11.64/1.90 % (22316)------------------------------ 11.64/1.90 % (22316)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.64/1.90 % (22316)Termination reason: Time limit 11.64/1.90 11.64/1.90 % (22316)Memory used [KB]: 9594 11.64/1.90 % (22316)Time elapsed: 1.553 s 11.64/1.90 % (22316)------------------------------ 11.64/1.90 % (22316)------------------------------ 12.25/1.91 % (22347)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 12.25/1.92 % (22351)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 12.25/1.94 % (22350)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 12.25/1.97 % (22353)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 12.25/1.98 % (22354)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 12.70/2.04 % (22303)Time limit reached! 12.70/2.04 % (22303)------------------------------ 12.70/2.04 % (22303)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.70/2.04 % (22303)Termination reason: Time limit 12.70/2.04 % (22303)Termination phase: Saturation 12.70/2.04 12.70/2.04 % (22303)Memory used [KB]: 4733 12.70/2.04 % (22303)Time elapsed: 0.500 s 12.70/2.04 % (22303)------------------------------ 12.70/2.04 % (22303)------------------------------ 13.25/2.09 % (22358)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 13.49/2.12 % (22309)Time limit reached! 13.49/2.12 % (22309)------------------------------ 13.49/2.12 % (22309)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.49/2.12 % (22309)Termination reason: Time limit 13.49/2.12 % (22309)Termination phase: Saturation 13.49/2.12 13.49/2.12 % (22309)Memory used [KB]: 16119 13.49/2.12 % (22309)Time elapsed: 0.600 s 13.49/2.12 % (22309)------------------------------ 13.49/2.12 % (22309)------------------------------ 14.18/2.14 % (22315)Time limit reached! 14.18/2.14 % (22315)------------------------------ 14.18/2.14 % (22315)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.18/2.14 % (22315)Termination reason: Time limit 14.18/2.14 % (22315)Termination phase: Saturation 14.18/2.14 14.18/2.14 % (22315)Memory used [KB]: 8699 14.18/2.14 % (22315)Time elapsed: 0.500 s 14.18/2.14 % (22315)------------------------------ 14.18/2.14 % (22315)------------------------------ 14.18/2.17 % (22365)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 14.18/2.19 % (22308)Time limit reached! 14.18/2.19 % (22308)------------------------------ 14.18/2.19 % (22308)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.18/2.19 % (22308)Termination reason: Time limit 14.18/2.19 14.18/2.19 % (22308)Memory used [KB]: 13944 14.18/2.19 % (22308)Time elapsed: 1.842 s 14.18/2.19 % (22308)------------------------------ 14.18/2.19 % (22308)------------------------------ 14.18/2.20 % (22366)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 14.86/2.24 % (22321)Time limit reached! 14.86/2.24 % (22321)------------------------------ 14.86/2.24 % (22321)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.86/2.24 % (22321)Termination reason: Time limit 14.86/2.24 14.86/2.24 % (22321)Memory used [KB]: 9594 14.86/2.24 % (22321)Time elapsed: 1.873 s 14.86/2.24 % (22321)------------------------------ 14.86/2.24 % (22321)------------------------------ 14.86/2.25 % (22368)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 14.86/2.29 % (22369)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 24.45/3.45 % (22365)Time limit reached! 24.45/3.45 % (22365)------------------------------ 24.45/3.45 % (22365)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.45/3.47 % (22365)Termination reason: Time limit 24.45/3.47 24.45/3.47 % (22365)Memory used [KB]: 4477 24.45/3.47 % (22365)Time elapsed: 1.336 s 24.45/3.47 % (22365)------------------------------ 24.45/3.47 % (22365)------------------------------ 24.45/3.47 % (22311)Time limit reached! 24.45/3.47 % (22311)------------------------------ 24.45/3.47 % (22311)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.45/3.47 % (22311)Termination reason: Time limit 24.45/3.47 % (22311)Termination phase: Saturation 24.45/3.47 24.45/3.47 % (22311)Memory used [KB]: 16119 24.45/3.47 % (22311)Time elapsed: 3.100 s 24.45/3.47 % (22311)------------------------------ 24.45/3.47 % (22311)------------------------------ 24.90/3.51 % (22370)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 24.90/3.54 % (22371)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 25.55/3.59 % (22324)Time limit reached! 25.55/3.59 % (22324)------------------------------ 25.55/3.59 % (22324)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.55/3.59 % (22324)Termination reason: Time limit 25.55/3.59 % (22324)Termination phase: Saturation 25.55/3.59 25.55/3.59 % (22324)Memory used [KB]: 44263 25.55/3.59 % (22324)Time elapsed: 3.242 s 25.55/3.59 % (22324)------------------------------ 25.55/3.59 % (22324)------------------------------ 25.55/3.59 % (22320)Time limit reached! 25.55/3.59 % (22320)------------------------------ 25.55/3.59 % (22320)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.55/3.61 % (22320)Termination reason: Time limit 25.55/3.61 25.55/3.61 % (22320)Memory used [KB]: 33901 25.55/3.61 % (22320)Time elapsed: 3.243 s 25.55/3.61 % (22320)------------------------------ 25.55/3.61 % (22320)------------------------------ 25.88/3.62 % (22368)Time limit reached! 25.88/3.62 % (22368)------------------------------ 25.88/3.62 % (22368)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.88/3.63 % (22368)Termination reason: Time limit 25.88/3.63 25.88/3.63 % (22368)Memory used [KB]: 18805 25.88/3.63 % (22368)Time elapsed: 1.414 s 25.88/3.63 % (22368)------------------------------ 25.88/3.63 % (22368)------------------------------ 25.88/3.64 % (22372)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark 26.13/3.67 % (22373)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark 26.13/3.68 % (22354)Time limit reached! 26.13/3.68 % (22354)------------------------------ 26.13/3.68 % (22354)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.13/3.68 % (22354)Termination reason: Time limit 26.13/3.68 26.13/3.68 % (22354)Memory used [KB]: 42600 26.13/3.68 % (22354)Time elapsed: 1.760 s 26.13/3.68 % (22354)------------------------------ 26.13/3.68 % (22354)------------------------------ 26.13/3.69 % (22374)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 26.66/3.74 % (22353)Time limit reached! 26.66/3.74 % (22353)------------------------------ 26.66/3.74 % (22353)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.66/3.74 % (22353)Termination reason: Time limit 26.66/3.74 26.66/3.74 % (22353)Memory used [KB]: 10106 26.66/3.74 % (22353)Time elapsed: 1.843 s 26.66/3.74 % (22353)------------------------------ 26.66/3.74 % (22353)------------------------------ 26.66/3.75 % (22310)Time limit reached! 26.66/3.75 % (22310)------------------------------ 26.66/3.75 % (22310)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.66/3.75 % (22310)Termination reason: Time limit 26.66/3.75 26.66/3.75 % (22310)Memory used [KB]: 10490 26.66/3.75 % (22310)Time elapsed: 3.405 s 26.66/3.75 % (22310)------------------------------ 26.66/3.75 % (22310)------------------------------ 26.66/3.76 % (22375)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 27.01/3.78 % (22377)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 27.01/3.83 % (22351)Time limit reached! 27.01/3.83 % (22351)------------------------------ 27.01/3.83 % (22351)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.01/3.83 % (22351)Termination reason: Time limit 27.01/3.83 27.01/3.83 % (22351)Memory used [KB]: 17782 27.01/3.83 % (22351)Time elapsed: 1.957 s 27.01/3.83 % (22351)------------------------------ 27.01/3.83 % (22351)------------------------------ 27.01/3.83 % (22381)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 27.99/3.88 % (22387)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 27.99/3.89 % (22338)Refutation found. Thanks to Tanya! 27.99/3.89 % SZS status Theorem for theBenchmark 27.99/3.89 % SZS output start Proof for theBenchmark 27.99/3.89 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 27.99/3.89 tff(func_def_4, type, in: '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_5, type, exu: ('$i' -> '$o') -> '$o'). 27.99/3.89 tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 27.99/3.89 tff(func_def_10, type, setadjoin: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_12, type, powerset: '$i' -> '$i'). 27.99/3.89 tff(func_def_14, type, setunion: '$i' -> '$i'). 27.99/3.89 tff(func_def_23, type, descr: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_25, type, dsetconstr: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_30, type, prop2set: '$o' -> '$i'). 27.99/3.89 tff(func_def_40, type, nonempty: '$i' -> '$o'). 27.99/3.89 tff(func_def_73, type, set2prop: '$i' -> '$o'). 27.99/3.89 tff(func_def_92, type, subset: '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_93, type, disjoint: '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_94, type, setsmeet: '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_118, type, binunion: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_126, type, binintersect: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_139, type, regular: '$i' -> '$o'). 27.99/3.89 tff(func_def_140, type, setminus: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_151, type, symdiff: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_157, type, iskpair: '$i' -> '$o'). 27.99/3.89 tff(func_def_162, type, kpair: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_164, type, cartprod: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_181, type, singleton: '$i' -> '$o'). 27.99/3.89 tff(func_def_183, type, ex1: '$i' -> ('$i' -> '$o') -> '$o'). 27.99/3.89 tff(func_def_188, type, atmost1p: '$i' -> '$o'). 27.99/3.89 tff(func_def_189, type, atleast2p: '$i' -> '$o'). 27.99/3.89 tff(func_def_190, type, atmost2p: '$i' -> '$o'). 27.99/3.89 tff(func_def_191, type, upairsetp: '$i' -> '$o'). 27.99/3.89 tff(func_def_195, type, kfst: '$i' -> '$i'). 27.99/3.89 tff(func_def_207, type, ksnd: '$i' -> '$i'). 27.99/3.89 tff(func_def_217, type, breln: '$i' -> '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_218, type, dpsetconstr: '$i' -> '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_226, type, func: '$i' -> '$i' -> '$i' -> '$o'). 27.99/3.89 tff(func_def_227, type, funcSet: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_230, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_236, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_239, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 27.99/3.89 tff(func_def_242, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 27.99/3.89 tff(func_def_243, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 27.99/3.89 tff(func_def_244, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 27.99/3.89 tff(func_def_245, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 27.99/3.89 tff(func_def_246, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 27.99/3.89 tff(func_def_247, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 27.99/3.89 tff(func_def_248, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 27.99/3.89 tff(func_def_249, type, vIMP: '$o' -> '$o' -> '$o'). 27.99/3.89 tff(func_def_250, type, vAND: '$o' -> '$o' -> '$o'). 27.99/3.89 tff(func_def_251, type, vNOT: '$o' -> '$o'). 27.99/3.89 tff(func_def_252, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 27.99/3.89 tff(func_def_253, type, vIFF: '$o' -> '$o' -> '$o'). 27.99/3.89 tff(func_def_254, type, vOR: '$o' -> '$o' -> '$o'). 27.99/3.89 tff(func_def_258, type, sK3: '$i' -> '$o'). 27.99/3.89 tff(func_def_261, type, sK6: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_262, type, sK7: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_263, type, sK8: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_264, type, sK9: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_265, type, sK10: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_266, type, sK11: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_267, type, sK12: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_268, type, sK13: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_269, type, sK14: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_270, type, sK15: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_271, type, sK16: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_272, type, sK17: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_273, type, sK18: '$i' -> '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_274, type, sK19: '$i' -> '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_275, type, sK20: '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_276, type, sK21: '$i' -> '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_277, type, sK22: '$i' -> '$i' -> '$i' -> ('$i' -> '$i') -> '$i'). 27.99/3.89 tff(func_def_278, type, sK23: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_279, type, sK24: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_280, type, sK25: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_281, type, sK26: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_282, type, sK27: '$o' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_283, type, sK28: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_284, type, sK29: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_285, type, sK30: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_286, type, sK31: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_287, type, sK32: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_288, type, sK33: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_289, type, sK34: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_290, type, sK35: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_291, type, sK36: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_292, type, sK37: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_293, type, sK38: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_294, type, sK39: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_295, type, sK40: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_296, type, sK41: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_297, type, sK42: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_298, type, sK43: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_299, type, sK44: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_300, type, sK45: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_301, type, sK46: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_302, type, sK47: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_303, type, sK48: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_304, type, sK49: ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_305, type, sK50: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_306, type, sK51: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_307, type, sK52: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 27.99/3.89 tff(func_def_308, type, sK53: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_309, type, sK54: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_310, type, sK55: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_311, type, sK56: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_312, type, sK57: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_313, type, sK58: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_314, type, sK59: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_315, type, sK60: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_316, type, sK61: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_317, type, sK62: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_318, type, sK63: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_319, type, sK64: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_320, type, sK65: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_321, type, sK66: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_322, type, sK67: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_323, type, sK68: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_324, type, sK69: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_325, type, sK70: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_326, type, sK71: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_327, type, sK72: '$i' -> '$i'). 27.99/3.89 tff(func_def_328, type, sK73: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_329, type, sK74: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_330, type, sK75: '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_331, type, sK76: '$i' -> '$i' -> '$i' -> '$i'). 27.99/3.89 tff(func_def_332, type, sK77: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_333, type, sK78: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_334, type, sK79: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_335, type, sK80: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_336, type, sK81: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_337, type, sK82: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_338, type, sK83: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_339, type, sK84: '$i' -> '$i'). 27.99/3.89 tff(func_def_340, type, sK85: '$i' -> '$i'). 27.99/3.89 tff(func_def_341, type, sK86: '$i' -> '$i'). 27.99/3.89 tff(func_def_342, type, sK87: '$i' -> '$i'). 27.99/3.89 tff(func_def_343, type, sK88: '$i' -> '$i'). 27.99/3.89 tff(func_def_344, type, sK89: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_345, type, sK90: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_346, type, sK91: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_347, type, sK92: ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_348, type, sK93: '$i' -> ('$i' -> '$o') -> '$i'). 27.99/3.89 tff(func_def_349, type, sK94: '$i' -> '$i'). 27.99/3.89 tff(func_def_350, type, sK95: '$i' -> '$i'). 27.99/3.89 tff(func_def_351, type, sK96: '$i' -> '$i'). 27.99/3.89 tff(func_def_353, type, sK98: '$o' -> '$i'). 27.99/3.89 tff(func_def_354, type, sK99: '$i' -> '$i'). 27.99/3.89 tff(func_def_355, type, sK100: '$i' -> '$o' -> '$i'). 27.99/3.89 tff(func_def_357, type, sK102: '$o' -> '$i'). 27.99/3.89 tff(f85,axiom,( 27.99/3.89 (notsubsetI = ! [X3,X4,X1] : (in @ X1 @ X3 => (~in @ X1 @ X4 => ~subset @ X3 @ X4)))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notsubsetI)). 27.99/3.89 tff(f167,axiom,( 27.99/3.89 (cartprodfstin = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => in @ (kfst @ X10) @ X3))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodfstin)). 27.99/3.89 tff(f179,axiom,( 27.99/3.89 (cartprodsndin = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => in @ (ksnd @ X10) @ X4))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodsndin)). 27.99/3.89 tff(f185,axiom,( 27.99/3.89 (cartprodpairsurjEq = ! [X3,X4,X10] : (in @ X10 @ (cartprod @ X3 @ X4) => kpair @ (kfst @ X10) @ (ksnd @ X10) = X10))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairsurjEq)). 27.99/3.89 tff(f186,axiom,( 27.99/3.89 breln = (^[X3 : '$i', X4 : '$i', X5 : '$i'] : subset @ X5 @ (cartprod @ X3 @ X4))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln)). 27.99/3.89 tff(f206,conjecture,( 27.99/3.89 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => ! [X3,X4,X12] : (breln @ X3 @ X4 @ X12 => ! [X0 : '$i' -> '$o'] : (! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => (in @ (kpair @ X1 @ X2) @ X12 => X0 @ (kpair @ X1 @ X2)))) => ! [X1] : (in @ X1 @ X12 => X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 27.99/3.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',brelnall1)). 27.99/3.89 tff(f207,negated_conjecture,( 27.99/3.89 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => ! [X3,X4,X12] : (breln @ X3 @ X4 @ X12 => ! [X0 : '$i' -> '$o'] : (! [X1] : (in @ X1 @ X3 => ! [X2] : (in @ X2 @ X4 => (in @ (kpair @ X1 @ X2) @ X12 => X0 @ (kpair @ X1 @ X2)))) => ! [X1] : (in @ X1 @ X12 => X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 27.99/3.89 inference(negated_conjecture,[],[f206])). 27.99/3.89 tff(f208,plain,( 27.99/3.89 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => ! [X0,X1,X2] : (breln @ X0 @ X1 @ X2 => ! [X3 : '$i' -> '$o'] : (! [X4] : (in @ X4 @ X0 => ! [X5] : (in @ X5 @ X1 => (in @ (kpair @ X4 @ X5) @ X2 => X3 @ (kpair @ X4 @ X5)))) => ! [X6] : (in @ X6 @ X2 => X3 @ X6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 27.99/3.89 inference(rectify,[],[f207])). 27.99/3.89 tff(f209,plain,( 27.99/3.89 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ! [X0,X1,X2] : ((breln @ X0 @ X1 @ X2 = $true) => ! [X3 : '$i' -> '$o'] : (! [X4] : ((in @ X4 @ X0 = $true) => ! [X5] : ((in @ X5 @ X1 = $true) => ((in @ (kpair @ X4 @ X5) @ X2 = $true) => (X3 @ (kpair @ X4 @ X5) = $true)))) => ! [X6] : ((in @ X6 @ X2 = $true) => (X3 @ X6 = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 28.17/3.91 inference(fool_elimination,[],[f208])). 28.17/3.91 tff(f468,plain,( 28.17/3.91 (notsubsetI = ! [X0,X1,X2] : (in @ X2 @ X0 => (~in @ X2 @ X1 => ~subset @ X0 @ X1)))), 28.17/3.91 inference(rectify,[],[f85])). 28.17/3.91 tff(f469,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = notsubsetI)), 28.17/3.91 inference(fool_elimination,[],[f468])). 28.17/3.91 tff(f536,plain,( 28.17/3.91 (cartprodpairsurjEq = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => kpair @ (kfst @ X2) @ (ksnd @ X2) = X2))), 28.17/3.91 inference(rectify,[],[f185])). 28.17/3.91 tff(f537,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = cartprodpairsurjEq)), 28.17/3.91 inference(fool_elimination,[],[f536])). 28.17/3.91 tff(f542,plain,( 28.17/3.91 (cartprodsndin = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => in @ (ksnd @ X2) @ X1))), 28.17/3.91 inference(rectify,[],[f179])). 28.17/3.91 tff(f543,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = cartprodsndin)), 28.17/3.91 inference(fool_elimination,[],[f542])). 28.17/3.91 tff(f544,plain,( 28.17/3.91 (cartprodfstin = ! [X0,X1,X2] : (in @ X2 @ (cartprod @ X0 @ X1) => in @ (kfst @ X2) @ X0))), 28.17/3.91 inference(rectify,[],[f167])). 28.17/3.91 tff(f545,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = cartprodfstin)), 28.17/3.91 inference(fool_elimination,[],[f544])). 28.17/3.91 tff(f602,plain,( 28.17/3.91 breln = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : subset @ X2 @ (cartprod @ X0 @ X1))), 28.17/3.91 inference(rectify,[],[f186])). 28.17/3.91 tff(f603,plain,( 28.17/3.91 bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod = breln), 28.17/3.91 inference(fool_elimination,[],[f602])). 28.17/3.91 tff(f614,plain,( 28.17/3.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (? [X3 : '$i' -> '$o'] : (? [X6] : ((X3 @ X6 != $true) & (in @ X6 @ X2 = $true)) & ! [X4] : (! [X5] : (((X3 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ X2 != $true)) | (in @ X5 @ X1 != $true)) | (in @ X4 @ X0 != $true))) & (breln @ X0 @ X1 @ X2 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 28.17/3.91 inference(ennf_transformation,[],[f209])). 28.17/3.91 tff(f615,plain,( 28.17/3.91 ? [X0,X1,X2] : (? [X3 : '$i' -> '$o'] : (? [X6] : ((X3 @ X6 != $true) & (in @ X6 @ X2 = $true)) & ! [X4] : (! [X5] : ((X3 @ (kpair @ X4 @ X5) = $true) | (in @ (kpair @ X4 @ X5) @ X2 != $true) | (in @ X5 @ X1 != $true)) | (in @ X4 @ X0 != $true))) & (breln @ X0 @ X1 @ X2 = $true)) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 28.17/3.91 inference(flattening,[],[f614])). 28.17/3.91 tff(f616,plain,( 28.17/3.91 ? [X0,X1,X2] : (? [X3 : '$i' -> '$o'] : (? [X4] : ((X3 @ X4 != $true) & (in @ X4 @ X2 = $true)) & ! [X5] : (! [X6] : ((X3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ X2 != $true) | (in @ X6 @ X1 != $true)) | (in @ X5 @ X0 != $true))) & (breln @ X0 @ X1 @ X2 = $true)) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 28.17/3.91 inference(rectify,[],[f615])). 28.17/3.91 tff(f617,plain,( 28.17/3.91 ? [X0,X1,X2] : (? [X3 : '$i' -> '$o'] : (? [X4] : ((X3 @ X4 != $true) & (in @ X4 @ X2 = $true)) & ! [X5] : (! [X6] : ((X3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ X2 != $true) | (in @ X6 @ X1 != $true)) | (in @ X5 @ X0 != $true))) & (breln @ X0 @ X1 @ X2 = $true)) => (? [X3 : '$i' -> '$o'] : (? [X4] : ((X3 @ X4 != $true) & (in @ X4 @ sK2 = $true)) & ! [X5] : (! [X6] : ((X3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ sK2 != $true) | (in @ X6 @ sK1 != $true)) | (in @ X5 @ sK0 != $true))) & (breln @ sK0 @ sK1 @ sK2 = $true))), 28.17/3.91 introduced(choice_axiom,[])). 28.17/3.91 tff(f618,plain,( 28.17/3.91 ? [X3 : '$i' -> '$o'] : (? [X4] : ((X3 @ X4 != $true) & (in @ X4 @ sK2 = $true)) & ! [X5] : (! [X6] : ((X3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ sK2 != $true) | (in @ X6 @ sK1 != $true)) | (in @ X5 @ sK0 != $true))) => (? [X4] : ((sK3 @ X4 != $true) & (in @ X4 @ sK2 = $true)) & ! [X5] : (! [X6] : ((sK3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ sK2 != $true) | (in @ X6 @ sK1 != $true)) | (in @ X5 @ sK0 != $true)))), 28.17/3.91 introduced(choice_axiom,[])). 28.17/3.91 tff(f619,plain,( 28.17/3.91 ? [X4] : ((sK3 @ X4 != $true) & (in @ X4 @ sK2 = $true)) => ((sK3 @ sK4 != $true) & (in @ sK4 @ sK2 = $true))), 28.17/3.91 introduced(choice_axiom,[])). 28.17/3.91 tff(f620,plain,( 28.17/3.91 ((((sK3 @ sK4 != $true) & (in @ sK4 @ sK2 = $true)) & ! [X5] : (! [X6] : ((sK3 @ (kpair @ X5 @ X6) = $true) | (in @ (kpair @ X5 @ X6) @ sK2 != $true) | (in @ X6 @ sK1 != $true)) | (in @ X5 @ sK0 != $true))) & (breln @ sK0 @ sK1 @ sK2 = $true)) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true)), 28.17/3.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f616,f619,f618,f617])). 28.17/3.91 tff(f703,plain,( 28.17/3.91 (notsubsetI = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f783,plain,( 28.17/3.91 (cartprodfstin = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f795,plain,( 28.17/3.91 (cartprodsndin = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f801,plain,( 28.17/3.91 (cartprodpairsurjEq = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f818,plain,( 28.17/3.91 (breln @ sK0 @ sK1 @ sK2 = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f819,plain,( 28.17/3.91 ( ! [X6,X5] : ((in @ (kpair @ X5 @ X6) @ sK2 != $true) | (sK3 @ (kpair @ X5 @ X6) = $true) | (in @ X6 @ sK1 != $true) | (in @ X5 @ sK0 != $true)) )), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f820,plain,( 28.17/3.91 (in @ sK4 @ sK2 = $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f821,plain,( 28.17/3.91 (sK3 @ sK4 != $true)), 28.17/3.91 inference(cnf_transformation,[],[f620])). 28.17/3.91 tff(f954,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = notsubsetI)), 28.17/3.91 inference(cnf_transformation,[],[f469])). 28.17/3.91 tff(f988,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = cartprodpairsurjEq)), 28.17/3.91 inference(cnf_transformation,[],[f537])). 28.17/3.91 tff(f991,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = cartprodsndin)), 28.17/3.91 inference(cnf_transformation,[],[f543])). 28.17/3.91 tff(f992,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = cartprodfstin)), 28.17/3.91 inference(cnf_transformation,[],[f545])). 28.17/3.91 tff(f1021,plain,( 28.17/3.91 bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod = breln), 28.17/3.91 inference(cnf_transformation,[],[f603])). 28.17/3.91 tff(f1029,plain,( 28.17/3.91 (bCOMB @ (bCOMB @ (cCOMB @ subset)) @ cartprod @ sK0 @ sK1 @ sK2 = $true)), 28.17/3.91 inference(definition_unfolding,[],[f818,f1021])). 28.17/3.91 tff(f1162,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))))) = $true)), 28.17/3.91 inference(definition_unfolding,[],[f954,f703])). 28.17/3.91 tff(f1196,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB)))) = $true)), 28.17/3.91 inference(definition_unfolding,[],[f988,f801])). 28.17/3.91 tff(f1199,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd)))) = $true)), 28.17/3.91 inference(definition_unfolding,[],[f991,f795])). 28.17/3.91 tff(f1200,plain,( 28.17/3.91 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst)))) = $true)), 28.17/3.91 inference(definition_unfolding,[],[f992,f783])). 28.17/3.91 tff(f1496,plain,( 28.17/3.91 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ kfst))) @ X1 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1200])). 28.17/3.91 tff(f1497,plain,( 28.17/3.91 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (kfst @ X1)))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1496])). 28.17/3.91 tff(f1498,plain,( 28.17/3.91 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (kfst @ X1))) @ X2 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1497])). 28.17/3.91 tff(f1499,plain,( 28.17/3.91 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (kfst @ X1))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1498])). 28.17/3.91 tff(f1500,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (kfst @ X1)) @ X3 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1499])). 28.17/3.91 tff(f1501,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (in @ (kfst @ X1) @ X3) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1500])). 28.17/3.91 tff(f1502,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (in @ (kfst @ X1) @ X3 = $true)) )), 28.17/3.91 inference(binary_proxy_clausification,[],[f1501])). 28.17/3.91 tff(f1503,plain,( 28.17/3.91 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (bCOMB @ in @ ksnd))) @ X1 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1199])). 28.17/3.91 tff(f1504,plain,( 28.17/3.91 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (ksnd @ X1)))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1503])). 28.17/3.91 tff(f1505,plain,( 28.17/3.91 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (in @ (ksnd @ X1))) @ X2 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1504])). 28.17/3.91 tff(f1506,plain,( 28.17/3.91 ( ! [X2,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (ksnd @ X1) @ X2)) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1505])). 28.17/3.91 tff(f1507,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (in @ (ksnd @ X1) @ X2) @ X3 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1506])). 28.17/3.91 tff(f1508,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (in @ (ksnd @ X1) @ X2) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1507])). 28.17/3.91 tff(f1509,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (in @ (ksnd @ X1) @ X2 = $true)) )), 28.17/3.91 inference(binary_proxy_clausification,[],[f1508])). 28.17/3.91 tff(f1533,plain,( 28.17/3.91 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ cartprod))))) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (sCOMB @ (bCOMB @ kpair @ kfst) @ ksnd)) @ iCOMB))) @ X1 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1196])). 28.17/3.91 tff(f1534,plain,( 28.17/3.91 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1533])). 28.17/3.91 tff(f1535,plain,( 28.17/3.91 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ cartprod)))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1)) @ X2 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1534])). 28.17/3.91 tff(f1536,plain,( 28.17/3.91 ( ! [X2,X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1)) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1535])). 28.17/3.91 tff(f1537,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((cCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ cartprod @ X2))) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1) @ X3 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1536])). 28.17/3.91 tff(f1538,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (cartprod @ X3 @ X2)) @ (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1537])). 28.17/3.91 tff(f1539,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | (vEQ('$i') @ (kpair @ (kfst @ X1) @ (ksnd @ X1)) @ X1 = $true)) )), 28.17/3.91 inference(binary_proxy_clausification,[],[f1538])). 28.17/3.91 tff(f1540,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ (cartprod @ X3 @ X2) = $false) | kpair @ (kfst @ X1) @ (ksnd @ X1) = X1) )), 28.17/3.91 inference(equality_proxy_clausification,[],[f1539])). 28.17/3.91 tff(f1943,plain,( 28.17/3.91 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vNOT) @ in)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset))))) @ X1 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1162])). 28.17/3.91 tff(f1944,plain,( 28.17/3.91 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (bCOMB @ vNOT @ (in @ X1)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset))))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1943])). 28.17/3.91 tff(f1945,plain,( 28.17/3.91 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ vIMP @ (bCOMB @ vNOT @ (in @ X1)))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ subset)))) @ X2 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1944])). 28.17/3.91 tff(f1946,plain,( 28.17/3.91 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (vNOT @ (in @ X1 @ X2))) @ (bCOMB @ vNOT @ (cCOMB @ subset @ X2)))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1945])). 28.17/3.91 tff(f1947,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (in @ X1)) @ (bCOMB @ (vIMP @ (vNOT @ (in @ X1 @ X2))) @ (bCOMB @ vNOT @ (cCOMB @ subset @ X2))) @ X3 = $true)) )), 28.17/3.91 inference(pi_clausification,[],[f1946])). 28.17/3.91 tff(f1948,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ X3) @ (vIMP @ (vNOT @ (in @ X1 @ X2)) @ (vNOT @ (subset @ X3 @ X2))) = $true)) )), 28.17/3.91 inference(combinator_demodulation,[],[f1947])). 28.17/3.91 tff(f1949,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vIMP @ (vNOT @ (in @ X1 @ X2)) @ (vNOT @ (subset @ X3 @ X2)) = $true)) )), 28.17/3.91 inference(binary_proxy_clausification,[],[f1948])). 28.17/3.91 tff(f1950,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vNOT @ (in @ X1 @ X2) = $false) | (vNOT @ (subset @ X3 @ X2) = $true)) )), 28.17/3.91 inference(binary_proxy_clausification,[],[f1949])). 28.17/3.91 tff(f1951,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (vNOT @ (in @ X1 @ X2) = $false) | (subset @ X3 @ X2 = $false)) )), 28.17/3.91 inference(not_proxy_clausification,[],[f1950])). 28.17/3.91 tff(f1952,plain,( 28.17/3.91 ( ! [X2,X3,X1] : ((in @ X1 @ X3 = $false) | (in @ X1 @ X2 = $true) | (subset @ X3 @ X2 = $false)) )), 28.17/3.91 inference(not_proxy_clausification,[],[f1951])). 28.17/3.91 tff(f3327,plain,( 28.17/3.91 (subset @ sK2 @ (cartprod @ sK0 @ sK1) = $true)), 28.17/3.91 inference(combinator_demodulation,[],[f1029])). 28.17/3.91 tff(f3329,plain,( 28.17/3.91 ($true != $true) | (sK3 @ sK4 = $false)), 28.17/3.91 inference(fool_paramodulation,[],[f821])). 28.17/3.91 tff(f3330,plain,( 28.17/3.91 (sK3 @ sK4 = $false)), 28.17/3.91 inference(trivial_inequality_removal,[],[f3329])). 28.17/3.91 tff(f4528,plain,( 28.17/3.91 ( ! [X95] : (($false = $true) | (in @ sK4 @ X95 = $true) | (subset @ sK2 @ X95 = $false)) )), 28.17/3.91 inference(superposition,[],[f820,f1952])). 28.17/3.91 tff(f4611,plain,( 28.17/3.91 ( ! [X95] : ((subset @ sK2 @ X95 = $false) | (in @ sK4 @ X95 = $true)) )), 28.17/3.91 inference(trivial_inequality_removal,[],[f4528])). 28.17/3.91 tff(f5574,plain,( 28.17/3.91 ($false = $true) | (in @ sK4 @ (cartprod @ sK0 @ sK1) = $true)), 28.17/3.91 inference(superposition,[],[f3327,f4611])). 28.17/3.91 tff(f5587,plain,( 28.17/3.91 (in @ sK4 @ (cartprod @ sK0 @ sK1) = $true)), 28.17/3.91 inference(trivial_inequality_removal,[],[f5574])). 28.17/3.91 tff(f5663,plain,( 28.17/3.91 ($false = $true) | (in @ (ksnd @ sK4) @ sK1 = $true)), 28.17/3.91 inference(superposition,[],[f1509,f5587])). 28.17/3.91 tff(f5664,plain,( 28.17/3.91 ($false = $true) | (in @ (kfst @ sK4) @ sK0 = $true)), 28.17/3.91 inference(superposition,[],[f1502,f5587])). 28.17/3.91 tff(f5675,plain,( 28.17/3.91 (in @ (kfst @ sK4) @ sK0 = $true)), 28.17/3.91 inference(trivial_inequality_removal,[],[f5664])). 28.17/3.91 tff(f5676,plain,( 28.17/3.91 (in @ (ksnd @ sK4) @ sK1 = $true)), 28.17/3.91 inference(trivial_inequality_removal,[],[f5663])). 28.17/3.91 tff(f6070,plain,( 28.17/3.91 ($false = $true) | kpair @ (kfst @ sK4) @ (ksnd @ sK4) = sK4), 28.17/3.91 inference(superposition,[],[f5587,f1540])). 28.17/3.91 tff(f6096,plain,( 28.17/3.91 kpair @ (kfst @ sK4) @ (ksnd @ sK4) = sK4), 28.17/3.91 inference(trivial_inequality_removal,[],[f6070])). 28.17/3.91 tff(f8131,plain,( 28.17/3.91 (in @ sK4 @ sK2 != $true) | (sK3 @ (kpair @ (kfst @ sK4) @ (ksnd @ sK4)) = $true) | (in @ (ksnd @ sK4) @ sK1 != $true) | (in @ (kfst @ sK4) @ sK0 != $true)), 28.17/3.91 inference(superposition,[],[f819,f6096])). 28.17/3.91 tff(f8148,plain,( 28.17/3.91 (sK3 @ (kpair @ (kfst @ sK4) @ (ksnd @ sK4)) = $true) | (in @ (ksnd @ sK4) @ sK1 != $true) | (in @ (kfst @ sK4) @ sK0 != $true)), 28.17/3.91 inference(subsumption_resolution,[],[f8131,f820])). 28.17/3.91 tff(f8149,plain,( 28.17/3.91 (sK3 @ (kpair @ (kfst @ sK4) @ (ksnd @ sK4)) = $true) | (in @ (kfst @ sK4) @ sK0 != $true)), 28.17/3.91 inference(subsumption_resolution,[],[f8148,f5676])). 28.17/3.91 tff(f8150,plain,( 28.17/3.91 (sK3 @ (kpair @ (kfst @ sK4) @ (ksnd @ sK4)) = $true)), 28.17/3.91 inference(subsumption_resolution,[],[f8149,f5675])). 28.17/3.91 tff(f8151,plain,( 28.17/3.91 (sK3 @ sK4 = $true)), 28.17/3.91 inference(forward_demodulation,[],[f8150,f6096])). 28.17/3.91 tff(f8152,plain,( 28.17/3.91 ($false = $true)), 28.17/3.91 inference(forward_demodulation,[],[f8151,f3330])). 28.17/3.91 tff(f8153,plain,( 28.17/3.91 $false), 28.17/3.91 inference(trivial_inequality_removal,[],[f8152])). 28.17/3.91 % SZS output end Proof for theBenchmark 28.17/3.91 % (22338)------------------------------ 28.17/3.91 % (22338)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 28.17/3.91 % (22338)Termination reason: Refutation 28.17/3.91 28.17/3.91 % (22338)Memory used [KB]: 18293 28.17/3.91 % (22338)Time elapsed: 2.230 s 28.17/3.91 % (22338)------------------------------ 28.17/3.91 % (22338)------------------------------ 28.17/3.94 % (22302)Success in time 3.596 s 28.17/3.95 EOF