0.04/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.10 % Command : run_vampire %s %d 0.10/0.30 % Computer : n031.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Thu Jul 2 08:02:17 EDT 2020 0.10/0.30 % CPUTime : 0.16/0.34 % (24560)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 0.16/0.34 % (24580)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 0.16/0.34 % (24558)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 0.16/0.35 % (24561)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 0.16/0.35 % (24559)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 0.16/0.35 % (24584)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 0.16/0.35 % (24586)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 0.16/0.35 % (24562)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 0.16/0.35 % (24563)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 0.16/0.35 % (24564)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 0.16/0.35 % (24566)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 0.16/0.36 % (24574)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 0.16/0.36 % (24587)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 0.16/0.36 % (24583)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 0.16/0.36 % (24579)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 0.16/0.37 % (24572)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.16/0.37 % (24575)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 0.16/0.37 % (24578)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 0.16/0.37 % (24577)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 0.16/0.37 % (24581)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 0.16/0.37 % (24568)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 0.16/0.37 % (24582)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 0.16/0.37 % (24571)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 0.16/0.37 % (24573)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 0.16/0.37 % (24570)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 % (24585)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 0.16/0.38 % (24565)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 % (24576)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 0.16/0.39 % (24569)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 0.16/0.39 % (24567)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 1.63/0.54 % (24581)Refutation not found, incomplete strategy 1.63/0.54 % (24581)------------------------------ 1.63/0.54 % (24581)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.63/0.54 % (24581)Termination reason: Refutation not found, incomplete strategy 1.63/0.54 1.63/0.54 % (24581)Memory used [KB]: 10362 1.63/0.54 % (24581)Time elapsed: 0.206 s 1.63/0.54 % (24581)------------------------------ 1.63/0.54 % (24581)------------------------------ 1.85/0.64 % (24588)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 2.54/0.65 % (24568)Refutation not found, incomplete strategy 2.54/0.65 % (24568)------------------------------ 2.54/0.65 % (24568)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.54/0.65 % (24568)Termination reason: Refutation not found, incomplete strategy 2.54/0.65 2.54/0.65 % (24568)Memory used [KB]: 11641 2.54/0.65 % (24568)Time elapsed: 0.328 s 2.54/0.65 % (24568)------------------------------ 2.54/0.65 % (24568)------------------------------ 2.86/0.73 % (24589)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 3.27/0.75 % (24572)Time limit reached! 3.27/0.75 % (24572)------------------------------ 3.27/0.75 % (24572)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.27/0.75 % (24572)Termination reason: Time limit 3.27/0.75 % (24572)Termination phase: Saturation 3.27/0.75 3.27/0.75 % (24572)Memory used [KB]: 7164 3.27/0.75 % (24572)Time elapsed: 0.400 s 3.27/0.75 % (24572)------------------------------ 3.27/0.75 % (24572)------------------------------ 3.27/0.81 % (24590)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 3.83/0.82 % (24561)Time limit reached! 3.83/0.82 % (24561)------------------------------ 3.83/0.82 % (24561)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.83/0.82 % (24561)Termination reason: Time limit 3.83/0.82 % (24561)Termination phase: Saturation 3.83/0.82 3.83/0.82 % (24561)Memory used [KB]: 13688 3.83/0.82 % (24561)Time elapsed: 0.500 s 3.83/0.82 % (24561)------------------------------ 3.83/0.82 % (24561)------------------------------ 3.83/0.83 % (24570)Time limit reached! 3.83/0.83 % (24570)------------------------------ 3.83/0.83 % (24570)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.83/0.83 % (24570)Termination reason: Time limit 3.83/0.83 3.83/0.83 % (24570)Memory used [KB]: 6524 3.83/0.83 % (24570)Time elapsed: 0.505 s 3.83/0.83 % (24570)------------------------------ 3.83/0.83 % (24570)------------------------------ 3.83/0.84 % (24559)Time limit reached! 3.83/0.84 % (24559)------------------------------ 3.83/0.84 % (24559)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.83/0.84 % (24559)Termination reason: Time limit 3.83/0.84 3.83/0.84 % (24559)Memory used [KB]: 11385 3.83/0.84 % (24559)Time elapsed: 0.514 s 3.83/0.84 % (24559)------------------------------ 3.83/0.84 % (24559)------------------------------ 3.83/0.84 % (24569)Time limit reached! 3.83/0.84 % (24569)------------------------------ 3.83/0.84 % (24569)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.83/0.84 % (24569)Termination reason: Time limit 3.83/0.84 3.83/0.84 % (24569)Memory used [KB]: 11385 3.83/0.84 % (24569)Time elapsed: 0.514 s 3.83/0.84 % (24569)------------------------------ 3.83/0.84 % (24569)------------------------------ 3.83/0.85 % (24558)Time limit reached! 3.83/0.85 % (24558)------------------------------ 3.83/0.85 % (24558)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.18/0.87 % (24558)Termination reason: Time limit 4.18/0.87 4.18/0.87 % (24558)Memory used [KB]: 3582 4.18/0.87 % (24558)Time elapsed: 0.528 s 4.18/0.87 % (24558)------------------------------ 4.18/0.87 % (24558)------------------------------ 4.18/0.89 % (24591)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 4.18/0.89 % (24595)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark 4.18/0.90 % (24592)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 4.18/0.92 % (24593)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark 4.18/0.92 % (24594)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark 4.69/0.94 % (24564)Time limit reached! 4.69/0.94 % (24564)------------------------------ 4.69/0.94 % (24564)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.69/0.94 % (24564)Termination reason: Time limit 4.69/0.94 % (24564)Termination phase: Saturation 4.69/0.94 4.69/0.94 % (24564)Memory used [KB]: 14328 4.69/0.94 % (24564)Time elapsed: 0.600 s 4.69/0.94 % (24564)------------------------------ 4.69/0.94 % (24564)------------------------------ 4.69/0.94 % (24567)Time limit reached! 4.69/0.94 % (24567)------------------------------ 4.69/0.94 % (24567)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.69/0.94 % (24567)Termination reason: Time limit 4.69/0.94 4.69/0.94 % (24567)Memory used [KB]: 11897 4.69/0.94 % (24567)Time elapsed: 0.616 s 4.69/0.94 % (24567)------------------------------ 4.69/0.94 % (24567)------------------------------ 4.69/0.95 % (24560)Time limit reached! 4.69/0.95 % (24560)------------------------------ 4.69/0.95 % (24560)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.69/0.95 % (24560)Termination reason: Time limit 4.69/0.95 % (24560)Termination phase: Saturation 4.69/0.95 4.69/0.95 % (24560)Memory used [KB]: 12025 4.69/0.95 % (24560)Time elapsed: 0.600 s 4.69/0.95 % (24560)------------------------------ 4.69/0.95 % (24560)------------------------------ 4.95/0.99 % (24597)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 4.95/1.00 % (24598)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 4.95/1.01 % (24596)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 6.64/1.19 % (24596)Refutation not found, incomplete strategy 6.64/1.19 % (24596)------------------------------ 6.64/1.19 % (24596)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.64/1.19 % (24596)Termination reason: Refutation not found, incomplete strategy 6.64/1.19 6.64/1.19 % (24596)Memory used [KB]: 10362 6.64/1.19 % (24596)Time elapsed: 0.235 s 6.64/1.19 % (24596)------------------------------ 6.64/1.19 % (24596)------------------------------ 7.35/1.26 % (24599)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 7.35/1.27 % (24576)Time limit reached! 7.35/1.27 % (24576)------------------------------ 7.35/1.27 % (24576)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.35/1.27 % (24576)Termination reason: Time limit 7.35/1.27 7.35/1.27 % (24576)Memory used [KB]: 9083 7.35/1.27 % (24576)Time elapsed: 0.937 s 7.35/1.27 % (24576)------------------------------ 7.35/1.27 % (24576)------------------------------ 7.35/1.32 % (24600)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 8.12/1.39 % (24573)Time limit reached! 8.12/1.39 % (24573)------------------------------ 8.12/1.39 % (24573)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.50/1.40 % (24573)Termination reason: Time limit 8.50/1.40 8.50/1.40 % (24573)Memory used [KB]: 13304 8.50/1.40 % (24573)Time elapsed: 1.068 s 8.50/1.40 % (24573)------------------------------ 8.50/1.40 % (24573)------------------------------ 8.50/1.43 % (24577)Time limit reached! 8.50/1.43 % (24577)------------------------------ 8.50/1.43 % (24577)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.50/1.44 % (24577)Termination reason: Time limit 8.50/1.44 8.50/1.44 % (24577)Memory used [KB]: 9594 8.50/1.44 % (24577)Time elapsed: 1.108 s 8.50/1.44 % (24577)------------------------------ 8.50/1.44 % (24577)------------------------------ 8.50/1.45 % (24580)Time limit reached! 8.50/1.45 % (24580)------------------------------ 8.50/1.45 % (24580)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.50/1.45 % (24580)Termination reason: Time limit 8.50/1.45 8.50/1.45 % (24580)Memory used [KB]: 11769 8.50/1.45 % (24580)Time elapsed: 1.110 s 8.50/1.45 % (24580)------------------------------ 8.50/1.45 % (24580)------------------------------ 8.93/1.46 % (24599)Refutation not found, incomplete strategy 8.93/1.46 % (24599)------------------------------ 8.93/1.46 % (24599)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.93/1.46 % (24599)Termination reason: Refutation not found, incomplete strategy 8.93/1.46 8.93/1.46 % (24599)Memory used [KB]: 11769 8.93/1.46 % (24599)Time elapsed: 0.255 s 8.93/1.46 % (24599)------------------------------ 8.93/1.46 % (24599)------------------------------ 8.93/1.48 % (24571)Time limit reached! 8.93/1.48 % (24571)------------------------------ 8.93/1.48 % (24571)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.93/1.48 % (24571)Termination reason: Time limit 8.93/1.48 8.93/1.48 % (24571)Memory used [KB]: 8187 8.93/1.48 % (24571)Time elapsed: 1.156 s 8.93/1.48 % (24571)------------------------------ 8.93/1.48 % (24571)------------------------------ 8.93/1.48 % (24601)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 8.93/1.50 % (24603)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 8.93/1.52 % (24602)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 8.93/1.53 % (24604)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 8.93/1.55 % (24605)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 8.93/1.55 % (24588)Refutation found. Thanks to Tanya! 8.93/1.55 % SZS status Theorem for theBenchmark 8.93/1.55 % SZS output start Proof for theBenchmark 8.93/1.55 tff(func_def_0, type, mu: '$tType'). 8.93/1.55 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 8.93/1.55 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 8.93/1.55 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 8.93/1.55 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_19, type, mtrue: '$i' -> '$o'). 8.93/1.55 tff(func_def_20, type, mfalse: '$i' -> '$o'). 8.93/1.55 tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 8.93/1.55 tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_37, type, i: '$i' -> '$i' -> '$o'). 8.93/1.55 tff(func_def_38, type, j: '$i' -> '$i' -> '$o'). 8.93/1.55 tff(func_def_39, type, k: '$i' -> '$i' -> '$o'). 8.93/1.55 tff(func_def_40, type, l: '$i' -> '$i' -> '$o'). 8.93/1.55 tff(func_def_41, type, confluence: ('$i' -> '$i' -> '$o') -> ('$i' -> '$i' -> '$o') -> ('$i' -> '$i' -> '$o') -> ('$i' -> '$i' -> '$o') -> '$o'). 8.93/1.55 tff(func_def_42, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 8.93/1.55 tff(func_def_43, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 8.93/1.55 tff(func_def_44, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 8.93/1.55 tff(func_def_45, type, vNOT: '$o' -> '$o'). 8.93/1.55 tff(func_def_46, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 8.93/1.55 tff(func_def_47, type, vAND: '$o' -> '$o' -> '$o'). 8.93/1.55 tff(func_def_48, type, vIMP: '$o' -> '$o' -> '$o'). 8.93/1.55 tff(func_def_49, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 8.93/1.55 tff(func_def_50, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 8.93/1.55 tff(func_def_51, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 8.93/1.55 tff(func_def_52, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 8.93/1.55 tff(func_def_53, type, vOR: '$o' -> '$o' -> '$o'). 8.93/1.55 tff(func_def_54, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 8.93/1.55 tff(func_def_60, type, sK3: '$i' -> '$o'). 8.93/1.55 tff(func_def_69, type, sK12: '$i' -> ('$i' -> '$o') -> '$i'). 8.93/1.55 tff(func_def_70, type, sK13: ('$i' -> '$o') -> '$i' -> '$i'). 8.93/1.55 tff(func_def_71, type, sK14: '$i' -> '$i' -> '$i'). 8.93/1.55 tff(f3,axiom,( 8.93/1.55 mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 8.93/1.55 tff(f4,axiom,( 8.93/1.55 mor = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 | X3 @ X2)), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 8.93/1.55 tff(f6,axiom,( 8.93/1.55 mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mor @ (mnot @ X3) @ X4)), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 8.93/1.55 tff(f11,axiom,( 8.93/1.55 mforall_prop = (^[X3 : ('$i' -> '$o') -> '$i' -> '$o', X2 : '$i'] : ! [X5 : '$i' -> '$o'] : X3 @ X5 @ X2)), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 8.93/1.55 tff(f16,axiom,( 8.93/1.55 mbox = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 8.93/1.55 tff(f17,axiom,( 8.93/1.55 mdia = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o'] : mnot @ (mbox @ X6 @ (mnot @ X3)))), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)). 8.93/1.55 tff(f28,axiom,( 8.93/1.55 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 8.93/1.55 tff(f32,axiom,( 8.93/1.55 confluence = (^[X11 : '$i' -> '$i' -> '$o', X12 : '$i' -> '$i' -> '$o', X13 : '$i' -> '$i' -> '$o', X14 : '$i' -> '$i' -> '$o'] : ! [X15,X16,X17] : ((X13 @ X15 @ X17 & X11 @ X15 @ X16) => ? [X18] : (X14 @ X17 @ X18 & X12 @ X16 @ X18)))), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',confluence)). 8.93/1.55 tff(f33,conjecture,( 8.93/1.55 mvalid @ (mforall_prop @ (^[X5 : '$i' -> '$o'] : mimplies @ (mdia @ i @ (mbox @ j @ X5)) @ (mbox @ k @ (mdia @ l @ X5)))) <=> confluence @ i @ j @ k @ l), 8.93/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 8.93/1.55 tff(f34,negated_conjecture,( 8.93/1.55 ~(mvalid @ (mforall_prop @ (^[X5 : '$i' -> '$o'] : mimplies @ (mdia @ i @ (mbox @ j @ X5)) @ (mbox @ k @ (mdia @ l @ X5)))) <=> confluence @ i @ j @ k @ l)), 8.93/1.55 inference(negated_conjecture,[],[f33])). 8.93/1.55 tff(f35,plain,( 8.93/1.55 ~(mvalid @ (mforall_prop @ (^[X0 : '$i' -> '$o'] : mimplies @ (mdia @ i @ (mbox @ j @ X0)) @ (mbox @ k @ (mdia @ l @ X0)))) <=> confluence @ i @ j @ k @ l)), 8.93/1.55 inference(rectify,[],[f34])). 8.93/1.55 tff(f36,plain,( 8.93/1.55 ~(confluence @ i @ j @ k @ l = mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (bCOMB @ (mdia @ i) @ (mbox @ j))) @ (bCOMB @ (mbox @ k) @ (mdia @ l)))))), 8.93/1.55 inference(fool_elimination,[],[f35])). 8.93/1.55 tff(f73,plain,( 8.93/1.55 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 8.93/1.55 inference(rectify,[],[f28])). 8.93/1.55 tff(f74,plain,( 8.93/1.55 mvalid = vPI('$i')), 8.93/1.55 inference(fool_elimination,[],[f73])). 8.93/1.55 tff(f81,plain,( 8.93/1.55 confluence = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$i' -> '$o', X2 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$i' -> '$o'] : ! [X4,X5,X6] : ((X2 @ X4 @ X6 & X0 @ X4 @ X5) => ? [X7] : (X3 @ X6 @ X7 & X1 @ X5 @ X7)))), 8.93/1.55 inference(rectify,[],[f32])). 9.62/1.55 tff(f82,plain,( 9.62/1.55 bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))))) @ cCOMB)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ vAND))))))))) = confluence), 9.62/1.55 inference(fool_elimination,[],[f81])). 9.62/1.55 tff(f85,plain,( 9.62/1.55 mor = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 | X0 @ X2)), 9.62/1.55 inference(rectify,[],[f4])). 9.62/1.55 tff(f86,plain,( 9.62/1.55 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 9.62/1.55 inference(fool_elimination,[],[f85])). 9.62/1.55 tff(f87,plain,( 9.62/1.55 mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mor @ (mnot @ X0) @ X1)), 9.62/1.55 inference(rectify,[],[f6])). 9.62/1.55 tff(f88,plain,( 9.62/1.55 bCOMB @ mor @ mnot = mimplies), 9.62/1.55 inference(fool_elimination,[],[f87])). 9.62/1.55 tff(f89,plain,( 9.62/1.55 mdia = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o'] : mnot @ (mbox @ X0 @ (mnot @ X1)))), 9.62/1.55 inference(rectify,[],[f17])). 9.62/1.55 tff(f90,plain,( 9.62/1.55 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ mbox) @ mnot) = mdia), 9.62/1.55 inference(fool_elimination,[],[f89])). 9.62/1.55 tff(f91,plain,( 9.62/1.55 mforall_prop = (^[X0 : ('$i' -> '$o') -> '$i' -> '$o', X1 : '$i'] : ! [X2 : '$i' -> '$o'] : X0 @ X2 @ X1)), 9.62/1.55 inference(rectify,[],[f11])). 9.62/1.55 tff(f92,plain,( 9.62/1.55 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 9.62/1.55 inference(fool_elimination,[],[f91])). 9.62/1.55 tff(f93,plain,( 9.62/1.55 mbox = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 9.62/1.55 inference(rectify,[],[f16])). 9.62/1.55 tff(f94,plain,( 9.62/1.55 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 9.62/1.55 inference(fool_elimination,[],[f93])). 9.62/1.55 tff(f95,plain,( 9.62/1.55 mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)), 9.62/1.55 inference(rectify,[],[f3])). 9.62/1.55 tff(f96,plain,( 9.62/1.55 bCOMB @ vNOT = mnot), 9.62/1.55 inference(fool_elimination,[],[f95])). 9.62/1.55 tff(f97,plain,( 9.62/1.55 (confluence @ i @ j @ k @ l != mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (bCOMB @ (mdia @ i) @ (mbox @ j))) @ (bCOMB @ (mbox @ k) @ (mdia @ l)))))), 9.62/1.55 inference(flattening,[],[f36])). 9.62/1.55 tff(f98,plain,( 9.62/1.55 (confluence @ i @ j @ k @ l != mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (bCOMB @ (mdia @ i) @ (mbox @ j))) @ (bCOMB @ (mbox @ k) @ (mdia @ l)))))), 9.62/1.55 inference(cnf_transformation,[],[f97])). 9.62/1.55 tff(f119,plain,( 9.62/1.55 mvalid = vPI('$i')), 9.62/1.55 inference(cnf_transformation,[],[f74])). 9.62/1.58 tff(f123,plain,( 9.62/1.58 bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))))) @ cCOMB)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ vAND))))))))) = confluence), 9.62/1.58 inference(cnf_transformation,[],[f82])). 9.62/1.58 tff(f125,plain,( 9.62/1.58 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 9.62/1.58 inference(cnf_transformation,[],[f86])). 9.62/1.58 tff(f126,plain,( 9.62/1.58 bCOMB @ mor @ mnot = mimplies), 9.62/1.58 inference(cnf_transformation,[],[f88])). 9.62/1.58 tff(f127,plain,( 9.62/1.58 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ mbox) @ mnot) = mdia), 9.62/1.58 inference(cnf_transformation,[],[f90])). 9.62/1.58 tff(f128,plain,( 9.62/1.58 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 9.62/1.58 inference(cnf_transformation,[],[f92])). 9.62/1.58 tff(f129,plain,( 9.62/1.58 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 9.62/1.58 inference(cnf_transformation,[],[f94])). 9.62/1.58 tff(f130,plain,( 9.62/1.58 bCOMB @ vNOT = mnot), 9.62/1.58 inference(cnf_transformation,[],[f96])). 9.62/1.58 tff(f132,plain,( 9.62/1.58 bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) = mimplies), 9.62/1.58 inference(definition_unfolding,[],[f126,f125,f130])). 9.62/1.58 tff(f139,plain,( 9.62/1.58 bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) = mdia), 9.62/1.58 inference(definition_unfolding,[],[f127,f130,f129,f130])). 9.62/1.58 tff(f140,plain,( 9.62/1.58 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ i) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ j))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ k) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))))) @ (bCOMB @ vNOT)) @ l)))) != bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB))))) @ cCOMB)))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vSIGMA('$i')))) @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ vAND))))))))) @ i @ j @ k @ l)), 9.62/1.58 inference(definition_unfolding,[],[f98,f123,f119,f128,f132,f139,f129,f129,f139])). 9.62/1.58 tff(f141,plain,( 9.62/1.58 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l))))) != vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))))))), 9.62/1.58 inference(combinator_demodulation,[],[f140])). 9.62/1.58 tff(f142,plain,( 9.62/1.58 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l))))) = $true) | (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))))) = $true)), 9.62/1.58 inference(binary_proxy_clausification,[],[f141])). 9.62/1.58 tff(f143,plain,( 9.62/1.58 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l))))) = $false) | (vPI('$i') @ (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))))) = $false)), 9.62/1.58 inference(binary_proxy_clausification,[],[f141])). 9.62/1.58 tff(f144,plain,( 9.62/1.58 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l))))) = $false) | (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT)))))) @ sK1 = $false)), 9.62/1.58 inference(sigma_clausification,[],[f143])). 9.62/1.58 tff(f145,plain,( 9.62/1.58 (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l)))) @ sK2 = $false) | (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT)))))) @ sK1 = $false)), 9.62/1.58 inference(sigma_clausification,[],[f144])). 9.93/1.60 tff(f146,plain,( 9.93/1.60 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ sK2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ sK2))))) = $false) | (vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ sK1) = $false)), 9.93/1.60 inference(combinator_demodulation,[],[f145])). 9.93/1.60 tff(f147,plain,( 9.93/1.60 (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ sK2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ sK2))))) = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ sK1 @ sK3 = $false)), 9.93/1.60 inference(sigma_clausification,[],[f146])). 9.93/1.61 tff(f148,plain,( 9.93/1.61 (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ sK2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ sK2)))) @ sK4 = $false) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ sK1 @ sK3 = $false)), 9.93/1.61 inference(sigma_clausification,[],[f147])). 9.93/1.61 tff(f149,plain,( 9.93/1.61 (vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ sK4)) @ (cCOMB @ k @ sK2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2)))) = $false) | (vOR @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f148])). 9.93/1.61 tff(f150,plain,( 9.93/1.61 (vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ sK4)) @ (cCOMB @ k @ sK2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2)))) = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(boolean_simplification,[],[f149])). 9.93/1.61 tff(f151,plain,( 9.93/1.61 (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ sK4)) @ (cCOMB @ k @ sK2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2))) @ sK5 = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(sigma_clausification,[],[f150])). 9.93/1.61 tff(f152,plain,( 9.93/1.61 (vIMP @ (vAND @ (i @ sK5 @ sK4) @ (k @ sK5 @ sK2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2))) = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f151])). 9.93/1.61 tff(f153,plain,( 9.93/1.61 (vAND @ (i @ sK5 @ sK4) @ (k @ sK5 @ sK2) = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f152])). 9.93/1.61 tff(f154,plain,( 9.93/1.61 (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2)) = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f152])). 9.93/1.61 tff(f155,plain,( 9.93/1.61 ( ! [X1] : ((sCOMB @ (bCOMB @ vAND @ (j @ sK4)) @ (l @ sK2) @ X1 = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)) )), 9.93/1.61 inference(pi_clausification,[],[f154])). 9.93/1.61 tff(f156,plain,( 9.93/1.61 ( ! [X1] : ((vAND @ (j @ sK4 @ X1) @ (l @ sK2 @ X1) = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)) )), 9.93/1.61 inference(combinator_demodulation,[],[f155])). 9.93/1.61 tff(f157,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f156])). 9.93/1.61 tff(f158,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3)))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f157])). 9.93/1.61 tff(f159,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3))))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f157])). 9.93/1.61 tff(f160,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))) @ sK6 = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(sigma_clausification,[],[f159])). 9.93/1.61 tff(f161,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (k @ sK1 @ sK6)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK6))) @ (bCOMB @ vNOT @ sK3)))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(combinator_demodulation,[],[f160])). 9.93/1.61 tff(f162,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (k @ sK1 @ sK6) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f161])). 9.93/1.61 tff(f163,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK6))) @ (bCOMB @ vNOT @ sK3))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f161])). 9.93/1.61 tff(f164,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK6))) @ (bCOMB @ vNOT @ sK3)) = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f163])). 9.93/1.61 tff(f165,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK6))) @ (bCOMB @ vNOT @ sK3) @ X2 = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(pi_clausification,[],[f164])). 9.93/1.61 tff(f166,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (l @ sK6 @ X2)) @ (vNOT @ (sK3 @ X2)) = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(combinator_demodulation,[],[f165])). 9.93/1.61 tff(f167,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (l @ sK6 @ X2) = $true) | (l @ sK2 @ X1 = $false) | (vNOT @ (sK3 @ X2) = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f166])). 9.93/1.61 tff(f168,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (l @ sK6 @ X2) = $true) | (l @ sK2 @ X1 = $false) | (sK3 @ X2 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f167])). 9.93/1.61 tff(f169,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (l @ sK6 @ X2 = $false) | (l @ sK2 @ X1 = $false) | (sK3 @ X2 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f168])). 9.93/1.61 tff(f170,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (k @ sK1 @ sK6 = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f162])). 9.93/1.61 tff(f171,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))) @ sK7 = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(sigma_clausification,[],[f158])). 9.93/1.61 tff(f172,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (i @ sK1 @ sK7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK7))) @ sK3))) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(combinator_demodulation,[],[f171])). 9.93/1.61 tff(f173,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (i @ sK1 @ sK7) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f172])). 9.93/1.61 tff(f174,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK7))) @ sK3)) = $false) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f172])). 9.93/1.61 tff(f175,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK7))) @ sK3) = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f174])). 9.93/1.61 tff(f176,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK7))) @ sK3 @ X2 = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(pi_clausification,[],[f175])). 9.93/1.61 tff(f177,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (j @ sK7 @ X2)) @ (sK3 @ X2) = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(combinator_demodulation,[],[f176])). 9.93/1.61 tff(f178,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (vNOT @ (j @ sK7 @ X2) = $true) | (l @ sK2 @ X1 = $false) | (sK3 @ X2 = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f177])). 9.93/1.61 tff(f179,plain,( 9.93/1.61 ( ! [X2,X1] : ((j @ sK4 @ X1 = $false) | (j @ sK7 @ X2 = $false) | (l @ sK2 @ X1 = $false) | (sK3 @ X2 = $true)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f178])). 9.93/1.61 tff(f180,plain,( 9.93/1.61 ( ! [X1] : ((j @ sK4 @ X1 = $false) | (i @ sK1 @ sK7 = $true) | (l @ sK2 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f173])). 9.93/1.61 tff(f181,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f153])). 9.93/1.61 tff(f182,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f153])). 9.93/1.61 tff(f183,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3)))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f182])). 9.93/1.61 tff(f184,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f182])). 9.93/1.61 tff(f185,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))) @ sK8 = $false)), 9.93/1.61 inference(sigma_clausification,[],[f184])). 9.93/1.61 tff(f186,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vOR @ (vNOT @ (k @ sK1 @ sK8)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK8))) @ (bCOMB @ vNOT @ sK3)))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f185])). 9.93/1.61 tff(f187,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vNOT @ (k @ sK1 @ sK8) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f186])). 9.93/1.61 tff(f188,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK8))) @ (bCOMB @ vNOT @ sK3))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f186])). 9.93/1.61 tff(f189,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK8))) @ (bCOMB @ vNOT @ sK3)) = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f188])). 9.93/1.61 tff(f190,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK8))) @ (bCOMB @ vNOT @ sK3) @ X1 = $true)) )), 9.93/1.61 inference(pi_clausification,[],[f189])). 9.93/1.61 tff(f191,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (vOR @ (vNOT @ (l @ sK8 @ X1)) @ (vNOT @ (sK3 @ X1)) = $true)) )), 9.93/1.61 inference(combinator_demodulation,[],[f190])). 9.93/1.61 tff(f192,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (vNOT @ (l @ sK8 @ X1) = $true) | (vNOT @ (sK3 @ X1) = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f191])). 9.93/1.61 tff(f193,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (vNOT @ (l @ sK8 @ X1) = $true) | (sK3 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f192])). 9.93/1.61 tff(f194,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (l @ sK8 @ X1 = $false) | (sK3 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f193])). 9.93/1.61 tff(f195,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (k @ sK1 @ sK8 = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f187])). 9.93/1.61 tff(f196,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))) @ sK9 = $false)), 9.93/1.61 inference(sigma_clausification,[],[f183])). 9.93/1.61 tff(f197,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vOR @ (vNOT @ (i @ sK1 @ sK9)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK9))) @ sK3))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f196])). 9.93/1.61 tff(f198,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vNOT @ (i @ sK1 @ sK9) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f197])). 9.93/1.61 tff(f199,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK9))) @ sK3)) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f197])). 9.93/1.61 tff(f200,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK9))) @ sK3) = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f199])). 9.93/1.61 tff(f201,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK9))) @ sK3 @ X1 = $true)) )), 9.93/1.61 inference(pi_clausification,[],[f200])). 9.93/1.61 tff(f202,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (vOR @ (vNOT @ (j @ sK9 @ X1)) @ (sK3 @ X1) = $true)) )), 9.93/1.61 inference(combinator_demodulation,[],[f201])). 9.93/1.61 tff(f203,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (vNOT @ (j @ sK9 @ X1) = $true) | (sK3 @ X1 = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f202])). 9.93/1.61 tff(f204,plain,( 9.93/1.61 ( ! [X1] : ((k @ sK5 @ sK2 = $true) | (j @ sK9 @ X1 = $false) | (sK3 @ X1 = $true)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f203])). 9.93/1.61 tff(f205,plain,( 9.93/1.61 (k @ sK5 @ sK2 = $true) | (i @ sK1 @ sK9 = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f198])). 9.93/1.61 tff(f206,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3)))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f181])). 9.93/1.61 tff(f207,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3))))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f181])). 9.93/1.61 tff(f208,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ sK3)))) @ sK10 = $false)), 9.93/1.61 inference(sigma_clausification,[],[f207])). 9.93/1.61 tff(f209,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vOR @ (vNOT @ (k @ sK1 @ sK10)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK10))) @ (bCOMB @ vNOT @ sK3)))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f208])). 9.93/1.61 tff(f210,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vNOT @ (k @ sK1 @ sK10) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f209])). 9.93/1.61 tff(f211,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK10))) @ (bCOMB @ vNOT @ sK3))) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f209])). 9.93/1.61 tff(f212,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK10))) @ (bCOMB @ vNOT @ sK3)) = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f211])). 9.93/1.61 tff(f213,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ sK10))) @ (bCOMB @ vNOT @ sK3) @ X1 = $true)) )), 9.93/1.61 inference(pi_clausification,[],[f212])). 9.93/1.61 tff(f214,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (vOR @ (vNOT @ (l @ sK10 @ X1)) @ (vNOT @ (sK3 @ X1)) = $true)) )), 9.93/1.61 inference(combinator_demodulation,[],[f213])). 9.93/1.61 tff(f215,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (vNOT @ (l @ sK10 @ X1) = $true) | (vNOT @ (sK3 @ X1) = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f214])). 9.93/1.61 tff(f216,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (vNOT @ (l @ sK10 @ X1) = $true) | (sK3 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f215])). 9.93/1.61 tff(f217,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (l @ sK10 @ X1 = $false) | (sK3 @ X1 = $false)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f216])). 9.93/1.61 tff(f218,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (k @ sK1 @ sK10 = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f210])). 9.93/1.61 tff(f219,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ sK1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ sK3))) @ sK11 = $false)), 9.93/1.61 inference(sigma_clausification,[],[f206])). 9.93/1.61 tff(f220,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vOR @ (vNOT @ (i @ sK1 @ sK11)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK11))) @ sK3))) = $false)), 9.93/1.61 inference(combinator_demodulation,[],[f219])). 9.93/1.61 tff(f221,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vNOT @ (i @ sK1 @ sK11) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f220])). 9.93/1.61 tff(f222,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK11))) @ sK3)) = $false)), 9.93/1.61 inference(binary_proxy_clausification,[],[f220])). 9.93/1.61 tff(f223,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK11))) @ sK3) = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f222])). 9.93/1.61 tff(f224,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ sK11))) @ sK3 @ X1 = $true)) )), 9.93/1.61 inference(pi_clausification,[],[f223])). 9.93/1.61 tff(f225,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (vOR @ (vNOT @ (j @ sK11 @ X1)) @ (sK3 @ X1) = $true)) )), 9.93/1.61 inference(combinator_demodulation,[],[f224])). 9.93/1.61 tff(f226,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (vNOT @ (j @ sK11 @ X1) = $true) | (sK3 @ X1 = $true)) )), 9.93/1.61 inference(binary_proxy_clausification,[],[f225])). 9.93/1.61 tff(f227,plain,( 9.93/1.61 ( ! [X1] : ((i @ sK5 @ sK4 = $true) | (j @ sK11 @ X1 = $false) | (sK3 @ X1 = $true)) )), 9.93/1.61 inference(not_proxy_clausification,[],[f226])). 9.93/1.61 tff(f228,plain,( 9.93/1.61 (i @ sK5 @ sK4 = $true) | (i @ sK1 @ sK11 = $true)), 9.93/1.61 inference(not_proxy_clausification,[],[f221])). 9.93/1.61 tff(f229,plain,( 9.93/1.61 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l))))) = $true) | (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT)))))) @ X1 = $true)) )), 9.93/1.61 inference(pi_clausification,[],[f142])). 9.93/1.63 tff(f230,plain,( 9.93/1.63 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i)))) @ (cCOMB @ k))))) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j))) @ l)))) @ X2 = $true) | (bCOMB @ vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT)))))) @ X1 = $true)) )), 9.93/1.63 inference(pi_clausification,[],[f229])). 9.93/1.63 tff(f231,plain,( 9.93/1.63 ( ! [X2,X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ X2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ X2))))) = $true) | (vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ X1) = $true)) )), 9.93/1.63 inference(combinator_demodulation,[],[f230])). 9.93/1.63 tff(f232,plain,( 9.93/1.63 ( ! [X2,X3:'$i' -> '$o',X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ X2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ X2))))) = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ X1 @ X3 = $true)) )), 9.93/1.63 inference(pi_clausification,[],[f231])). 9.93/1.63 tff(f233,plain,( 9.93/1.63 ( ! [X4,X2,X3:'$i' -> '$o',X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ i))) @ (cCOMB @ k @ X2)))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ j)) @ (l @ X2)))) @ X4 = $true) | (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ i))))) @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ k))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))))) @ (bCOMB @ vNOT))))) @ X1 @ X3 = $true)) )), 9.93/1.63 inference(pi_clausification,[],[f232])). 9.93/1.63 tff(f234,plain,( 9.93/1.63 ( ! [X4,X2,X3:'$i' -> '$o',X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2)))) = $true) | (vOR @ (vNOT @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3)))))) = $true)) )), 9.93/1.63 inference(combinator_demodulation,[],[f233])). 9.93/1.63 tff(f235,plain,( 9.93/1.63 ( ! [X4,X2,X3:'$i' -> '$o',X1] : ((vPI('$i') @ (cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2)))) = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3)))))) = $true)) )), 9.93/1.63 inference(boolean_simplification,[],[f234])). 9.93/1.63 tff(f236,plain,( 9.93/1.63 ( ! [X4,X2,X5,X3:'$i' -> '$o',X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) @ X5 = $true) | (vOR @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3)))))) = $true)) )), 9.93/1.63 inference(pi_clausification,[],[f235])). 9.93/1.64 tff(f237,plain,( 9.93/1.64 ( ! [X4,X2,X5,X3:'$i' -> '$o',X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) @ X5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3)))) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3))))) = $true)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f236])). 9.93/1.64 tff(f238,plain,( 9.93/1.64 ( ! [X6,X4,X2,X5,X3:'$i' -> '$o',X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) @ X5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3)))) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3)))) @ X6 = $true)) )), 9.93/1.64 inference(pi_clausification,[],[f237])). 9.93/1.64 tff(f239,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((cCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ i @ X4)) @ (cCOMB @ k @ X2))) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) @ X5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (i @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ j))) @ X3))) @ X7 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (k @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ l))) @ (bCOMB @ vNOT @ X3)))) @ X6 = $true)) )), 9.93/1.64 inference(pi_clausification,[],[f238])). 9.93/1.64 tff(f240,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vOR @ (vNOT @ (i @ X1 @ X7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3))) = $true) | (vOR @ (vNOT @ (k @ X1 @ X6)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3)))) = $true)) )), 9.93/1.64 inference(combinator_demodulation,[],[f239])). 9.93/1.64 tff(f241,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vOR @ (vNOT @ (i @ X1 @ X7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3))) = $true) | (vNOT @ (k @ X1 @ X6) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3))) = $true)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f240])). 9.93/1.64 tff(f242,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vOR @ (vNOT @ (i @ X1 @ X7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3))) = $true) | (vNOT @ (k @ X1 @ X6) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3)) = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f241])). 9.93/1.64 tff(f243,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vOR @ (vNOT @ (i @ X1 @ X7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3))) = $true) | (vNOT @ (k @ X1 @ X6) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false)) )), 9.93/1.64 inference(sigma_clausification,[],[f242])). 9.93/1.64 tff(f244,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vOR @ (vNOT @ (i @ X1 @ X7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3))) = $true) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f243])). 9.93/1.64 tff(f245,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vNOT @ (i @ X1 @ X7) = $true) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3)) = $true)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f244])). 9.93/1.64 tff(f246,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vNOT @ (i @ X1 @ X7) = $true) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3) = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f245])). 9.93/1.64 tff(f247,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (vNOT @ (i @ X1 @ X7) = $true) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3 @ (sK13 @ X3 @ X7) = $false)) )), 9.93/1.64 inference(sigma_clausification,[],[f246])). 9.93/1.64 tff(f248,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vIMP @ (vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2)) @ (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2))) = $true) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3 @ (sK13 @ X3 @ X7) = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f247])). 9.93/1.64 tff(f249,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2) = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3 @ (sK13 @ X3 @ X7) = $false) | (vSIGMA('$i') @ (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2)) = $true)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f248])). 9.93/1.64 tff(f250,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((vAND @ (i @ X5 @ X4) @ (k @ X5 @ X2) = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3 @ (sK13 @ X3 @ X7) = $false) | (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2) @ (sK14 @ X4 @ X2) = $true)) )), 9.93/1.64 inference(sigma_clausification,[],[f249])). 9.93/1.64 tff(f251,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (l @ X6))) @ (bCOMB @ vNOT @ X3) @ (sK12 @ X6 @ X3) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (j @ X7))) @ X3 @ (sK13 @ X3 @ X7) = $false) | (sCOMB @ (bCOMB @ vAND @ (j @ X4)) @ (l @ X2) @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f250])). 9.93/1.64 tff(f252,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (vOR @ (vNOT @ (l @ X6 @ (sK12 @ X6 @ X3))) @ (vNOT @ (X3 @ (sK12 @ X6 @ X3))) = $false) | (vOR @ (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7))) @ (X3 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(combinator_demodulation,[],[f251])). 9.93/1.64 tff(f253,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (vNOT @ (l @ X6 @ (sK12 @ X6 @ X3)) = $false) | (vOR @ (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7))) @ (X3 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f252])). 9.93/1.64 tff(f254,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (vNOT @ (X3 @ (sK12 @ X6 @ X3)) = $false) | (vOR @ (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7))) @ (X3 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f252])). 9.93/1.64 tff(f255,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (vOR @ (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7))) @ (X3 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f254])). 9.93/1.64 tff(f256,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f255])). 9.93/1.64 tff(f257,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (X3 @ (sK13 @ X3 @ X7) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f255])). 9.93/1.64 tff(f258,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (X3 @ (sK13 @ X3 @ X7) = $false) | (j @ X4 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f257])). 9.93/1.64 tff(f259,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (X3 @ (sK13 @ X3 @ X7) = $false) | (l @ X2 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f257])). 9.93/1.64 tff(f260,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f256])). 9.93/1.64 tff(f261,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (j @ X4 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f260])). 9.93/1.64 tff(f262,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (l @ X2 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(binary_proxy_clausification,[],[f260])). 9.93/1.64 tff(f263,plain,( 9.93/1.64 ( ! [X6,X4,X2,X7,X5,X3:'$i' -> '$o',X1] : ((i @ X5 @ X4 = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false) | (l @ X6 @ (sK12 @ X6 @ X3) = $true) | (vOR @ (vNOT @ (j @ X7 @ (sK13 @ X3 @ X7))) @ (X3 @ (sK13 @ X3 @ X7)) = $false) | (vAND @ (j @ X4 @ (sK14 @ X4 @ X2)) @ (l @ X2 @ (sK14 @ X4 @ X2)) = $true) | (k @ X5 @ X2 = $false)) )), 9.93/1.64 inference(not_proxy_clausification,[],[f253])). 9.93/1.64 tff(f264,plain,( 9.93/1.64 ( ! 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[X1] : ((l @ sK2 @ X1 = $false) | (j @ sK4 @ X1 = $false)) ) | ~spl0_6), 9.93/1.64 inference(avatar_component_clause,[],[f291])). 9.93/1.64 tff(f293,plain,( 9.93/1.64 spl0_4 | spl0_6), 9.93/1.64 inference(avatar_split_clause,[],[f170,f291,f288])). 9.93/1.64 tff(f303,plain,( 9.93/1.64 spl0_8 <=> (k @ sK1 @ sK10 = $true)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 9.93/1.64 tff(f304,plain,( 9.93/1.64 (k @ sK1 @ sK10 = $true) | ~spl0_8), 9.93/1.64 inference(avatar_component_clause,[],[f303])). 9.93/1.64 tff(f306,plain,( 9.93/1.64 spl0_11 <=> (i @ sK5 @ sK4 != $true)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 9.93/1.64 tff(f307,plain,( 9.93/1.64 (i @ sK5 @ sK4 != $true) | ~spl0_11), 9.93/1.64 inference(avatar_component_clause,[],[f306])). 9.93/1.64 tff(f309,plain,( 9.93/1.64 spl0_10 <=> (i @ sK5 @ sK4 = $true)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 9.93/1.64 tff(f310,plain,( 9.93/1.64 (i @ sK5 @ sK4 = $true) | ~spl0_10), 9.93/1.64 inference(avatar_component_clause,[],[f309])). 9.93/1.64 tff(f311,plain,( 9.93/1.64 spl0_8 | spl0_10), 9.93/1.64 inference(avatar_split_clause,[],[f218,f309,f303])). 9.93/1.64 tff(f313,plain,( 9.93/1.64 ($true != $true) | (i @ sK5 @ sK4 = $false) | ~spl0_11), 9.93/1.64 inference(fool_paramodulation,[],[f307])). 9.93/1.64 tff(f314,plain,( 9.93/1.64 (i @ sK5 @ sK4 = $false) | ~spl0_11), 9.93/1.64 inference(trivial_inequality_removal,[],[f313])). 9.93/1.64 tff(f320,plain,( 9.93/1.64 spl0_12 <=> (i @ sK1 @ sK7 = $true)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 9.93/1.64 tff(f321,plain,( 9.93/1.64 (i @ sK1 @ sK7 = $true) | ~spl0_12), 9.93/1.64 inference(avatar_component_clause,[],[f320])). 9.93/1.64 tff(f322,plain,( 9.93/1.64 spl0_12 | spl0_6), 9.93/1.64 inference(avatar_split_clause,[],[f180,f291,f320])). 9.93/1.64 tff(f326,plain,( 9.93/1.64 ($false = $true) | (i @ sK1 @ sK11 = $true) | ~spl0_11), 9.93/1.64 inference(forward_demodulation,[],[f228,f314])). 9.93/1.64 tff(f327,plain,( 9.93/1.64 (i @ sK1 @ sK11 = $true) | ~spl0_11), 9.93/1.64 inference(trivial_inequality_removal,[],[f326])). 9.93/1.64 tff(f329,plain,( 9.93/1.64 ( ! [X1] : (($false = $true) | (l @ sK10 @ X1 = $false) | (sK3 @ X1 = $false)) ) | ~spl0_11), 9.93/1.64 inference(forward_demodulation,[],[f217,f314])). 9.93/1.64 tff(f330,plain,( 9.93/1.64 ( ! [X1] : ((sK3 @ X1 = $false) | (l @ sK10 @ X1 = $false)) ) | ~spl0_11), 9.93/1.64 inference(trivial_inequality_removal,[],[f329])). 9.93/1.64 tff(f331,plain,( 9.93/1.64 ( ! [X1] : (($false = $true) | (j @ sK11 @ X1 = $false) | (sK3 @ X1 = $true)) ) | ~spl0_11), 9.93/1.64 inference(forward_demodulation,[],[f227,f314])). 9.93/1.64 tff(f332,plain,( 9.93/1.64 ( ! [X1] : ((j @ sK11 @ X1 = $false) | (sK3 @ X1 = $true)) ) | ~spl0_11), 9.93/1.64 inference(trivial_inequality_removal,[],[f331])). 9.93/1.64 tff(f334,plain,( 9.93/1.64 spl0_14 <=> ! [X1,X3 : '$i' -> '$o',X7,X6] : ((i @ X1 @ X7 = $false) | (X3 @ (sK13 @ X3 @ X7) = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false))), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 9.93/1.64 tff(f335,plain,( 9.93/1.64 ( ! [X6,X7,X3:'$i' -> '$o',X1] : ((i @ X1 @ X7 = $false) | (X3 @ (sK13 @ X3 @ X7) = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false)) ) | ~spl0_14), 9.93/1.64 inference(avatar_component_clause,[],[f334])). 9.93/1.64 tff(f337,plain,( 9.93/1.64 spl0_16 <=> ! [X5,X2,X4] : ((i @ X5 @ X4 = $false) | (k @ X5 @ X2 = $false) | (j @ X4 @ (sK14 @ X4 @ X2) = $true))), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 9.93/1.64 tff(f338,plain,( 9.93/1.64 ( ! [X4,X2,X5] : ((j @ X4 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false) | (i @ X5 @ X4 = $false)) ) | ~spl0_16), 9.93/1.64 inference(avatar_component_clause,[],[f337])). 9.93/1.64 tff(f339,plain,( 9.93/1.64 spl0_14 | spl0_16), 9.93/1.64 inference(avatar_split_clause,[],[f258,f337,f334])). 9.93/1.64 tff(f341,plain,( 9.93/1.64 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK13 @ X0 @ sK11) = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (k @ sK1 @ X1 = $false)) ) | (~spl0_11 | ~spl0_14)), 9.93/1.64 inference(superposition,[],[f327,f335])). 9.93/1.64 tff(f343,plain,( 9.93/1.64 ( ! [X0:'$i' -> '$o',X1] : ((k @ sK1 @ X1 = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK11) = $false)) ) | (~spl0_11 | ~spl0_14)), 9.93/1.64 inference(trivial_inequality_removal,[],[f341])). 9.93/1.64 tff(f348,plain,( 9.93/1.64 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ (sK12 @ sK10 @ X1) = $true) | (X1 @ (sK13 @ X1 @ sK11) = $false)) ) | (~spl0_8 | ~spl0_11 | ~spl0_14)), 9.93/1.64 inference(superposition,[],[f304,f343])). 9.93/1.64 tff(f351,plain,( 9.93/1.64 ( ! [X1:'$i' -> '$o'] : ((X1 @ (sK12 @ sK10 @ X1) = $true) | (X1 @ (sK13 @ X1 @ sK11) = $false)) ) | (~spl0_8 | ~spl0_11 | ~spl0_14)), 9.93/1.64 inference(trivial_inequality_removal,[],[f348])). 9.93/1.64 tff(f372,plain,( 9.93/1.64 ($false = $true) | (l @ sK10 @ (sK12 @ sK10 @ sK3) = $false) | (sK3 @ (sK13 @ sK3 @ sK11) = $false) | (~spl0_8 | ~spl0_11 | ~spl0_14)), 9.93/1.64 inference(superposition,[],[f330,f351])). 9.93/1.64 tff(f373,plain,( 9.93/1.64 (l @ sK10 @ (sK12 @ sK10 @ sK3) = $false) | (sK3 @ (sK13 @ sK3 @ sK11) = $false) | (~spl0_8 | ~spl0_11 | ~spl0_14)), 9.93/1.64 inference(trivial_inequality_removal,[],[f372])). 9.93/1.64 tff(f469,plain,( 9.93/1.64 spl0_19 <=> (sK3 @ (sK13 @ sK3 @ sK11) != $false)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 9.93/1.64 tff(f470,plain,( 9.93/1.64 (sK3 @ (sK13 @ sK3 @ sK11) != $false) | ~spl0_19), 9.93/1.64 inference(avatar_component_clause,[],[f469])). 9.93/1.64 tff(f472,plain,( 9.93/1.64 spl0_18 <=> (sK3 @ (sK13 @ sK3 @ sK11) = $false)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 9.93/1.64 tff(f473,plain,( 9.93/1.64 (sK3 @ (sK13 @ sK3 @ sK11) = $false) | ~spl0_18), 9.93/1.64 inference(avatar_component_clause,[],[f472])). 9.93/1.64 tff(f475,plain,( 9.93/1.64 spl0_21 <=> (l @ sK10 @ (sK12 @ sK10 @ sK3) != $false)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 9.93/1.64 tff(f476,plain,( 9.93/1.64 (l @ sK10 @ (sK12 @ sK10 @ sK3) != $false) | ~spl0_21), 9.93/1.64 inference(avatar_component_clause,[],[f475])). 9.93/1.64 tff(f478,plain,( 9.93/1.64 spl0_20 <=> (l @ sK10 @ (sK12 @ sK10 @ sK3) = $false)), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 9.93/1.64 tff(f479,plain,( 9.93/1.64 (l @ sK10 @ (sK12 @ sK10 @ sK3) = $false) | ~spl0_20), 9.93/1.64 inference(avatar_component_clause,[],[f478])). 9.93/1.64 tff(f480,plain,( 9.93/1.64 spl0_18 | spl0_20 | ~spl0_8 | spl0_11 | ~spl0_14), 9.93/1.64 inference(avatar_split_clause,[],[f373,f334,f306,f303,f478,f472])). 9.93/1.64 tff(f487,plain,( 9.93/1.64 ( ! [X0,X1] : (($false = $true) | (sK3 @ (sK14 @ sK11 @ X0) = $true) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16)), 9.93/1.64 inference(superposition,[],[f332,f338])). 9.93/1.64 tff(f488,plain,( 9.93/1.64 ( ! [X0,X1] : ((sK3 @ (sK14 @ sK11 @ X0) = $true) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16)), 9.93/1.64 inference(trivial_inequality_removal,[],[f487])). 9.93/1.64 tff(f492,plain,( 9.93/1.64 ( ! [X0,X1] : (($false = $true) | (l @ sK10 @ (sK14 @ sK11 @ X0) = $false) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16)), 9.93/1.64 inference(superposition,[],[f330,f488])). 9.93/1.64 tff(f493,plain,( 9.93/1.64 ( ! [X0,X1] : ((l @ sK10 @ (sK14 @ sK11 @ X0) = $false) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16)), 9.93/1.64 inference(trivial_inequality_removal,[],[f492])). 9.93/1.64 tff(f496,plain,( 9.93/1.64 spl0_22 <=> ! [X5,X2,X4] : ((i @ X5 @ X4 = $false) | (k @ X5 @ X2 = $false) | (l @ X2 @ (sK14 @ X4 @ X2) = $true))), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])). 9.93/1.64 tff(f497,plain,( 9.93/1.64 ( ! [X4,X2,X5] : ((l @ X2 @ (sK14 @ X4 @ X2) = $true) | (k @ X5 @ X2 = $false) | (i @ X5 @ X4 = $false)) ) | ~spl0_22), 9.93/1.64 inference(avatar_component_clause,[],[f496])). 9.93/1.64 tff(f498,plain,( 9.93/1.64 spl0_14 | spl0_22), 9.93/1.64 inference(avatar_split_clause,[],[f259,f496,f334])). 9.93/1.64 tff(f605,plain,( 9.93/1.64 spl0_24 <=> ! [X1,X3 : '$i' -> '$o',X7,X6] : ((i @ X1 @ X7 = $false) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (X3 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false))), 9.93/1.64 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 9.93/1.64 tff(f606,plain,( 9.93/1.64 ( ! [X6,X7,X3:'$i' -> '$o',X1] : ((j @ X7 @ (sK13 @ X3 @ X7) = $true) | (i @ X1 @ X7 = $false) | (X3 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false)) ) | ~spl0_24), 9.93/1.64 inference(avatar_component_clause,[],[f605])). 9.93/1.64 tff(f607,plain,( 9.93/1.64 spl0_24 | spl0_22), 9.93/1.64 inference(avatar_split_clause,[],[f262,f496,f605])). 9.93/1.64 tff(f684,plain,( 9.93/1.64 ( ! [X0,X1] : (($false = $true) | (k @ X0 @ sK10 = $false) | (i @ X0 @ sK11 = $false) | (k @ X1 @ sK10 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16 | ~spl0_22)), 9.93/1.64 inference(superposition,[],[f493,f497])). 9.93/1.64 tff(f685,plain,( 9.93/1.64 ( ! [X2,X3] : (($false = $true) | (j @ sK4 @ (sK14 @ X2 @ sK2) = $false) | (k @ X3 @ sK2 = $false) | (i @ X3 @ X2 = $false)) ) | (~spl0_6 | ~spl0_22)), 9.93/1.64 inference(superposition,[],[f292,f497])). 9.93/1.64 tff(f686,plain,( 9.93/1.64 ( ! [X2,X3] : ((k @ X3 @ sK2 = $false) | (j @ sK4 @ (sK14 @ X2 @ sK2) = $false) | (i @ X3 @ X2 = $false)) ) | (~spl0_6 | ~spl0_22)), 9.93/1.64 inference(trivial_inequality_removal,[],[f685])). 9.93/1.64 tff(f687,plain,( 9.93/1.64 ( ! [X0,X1] : ((k @ X0 @ sK10 = $false) | (i @ X0 @ sK11 = $false) | (k @ X1 @ sK10 = $false) | (i @ X1 @ sK11 = $false)) ) | (~spl0_11 | ~spl0_16 | ~spl0_22)), 9.93/1.64 inference(trivial_inequality_removal,[],[f684])). 10.20/1.66 tff(f692,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (j @ sK4 @ (sK14 @ X0 @ sK2) = $false) | (i @ sK5 @ X0 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_22)), 10.20/1.66 inference(superposition,[],[f282,f686])). 10.20/1.66 tff(f693,plain,( 10.20/1.66 ( ! [X0] : ((j @ sK4 @ (sK14 @ X0 @ sK2) = $false) | (i @ sK5 @ X0 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f692])). 10.20/1.66 tff(f696,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (k @ X0 @ sK2 = $false) | (i @ X0 @ sK4 = $false) | (i @ sK5 @ sK4 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(superposition,[],[f338,f693])). 10.20/1.66 tff(f700,plain,( 10.20/1.66 spl0_26 <=> ! [X1] : ((k @ X1 @ sK10 = $false) | (i @ X1 @ sK11 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])). 10.20/1.66 tff(f701,plain,( 10.20/1.66 ( ! [X1] : ((k @ X1 @ sK10 = $false) | (i @ X1 @ sK11 = $false)) ) | ~spl0_26), 10.20/1.66 inference(avatar_component_clause,[],[f700])). 10.20/1.66 tff(f702,plain,( 10.20/1.66 spl0_26 | spl0_26 | spl0_11 | ~spl0_16 | ~spl0_22), 10.20/1.66 inference(avatar_split_clause,[],[f687,f496,f337,f306,f700,f700])). 10.20/1.66 tff(f736,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK13 @ X0 @ sK4) = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (k @ sK5 @ X1 = $false)) ) | (~spl0_10 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f335,f310])). 10.20/1.66 tff(f737,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : ((k @ sK5 @ X1 = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK4) = $false)) ) | (~spl0_10 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f736])). 10.20/1.66 tff(f739,plain,( 10.20/1.66 spl0_24 | spl0_16), 10.20/1.66 inference(avatar_split_clause,[],[f261,f337,f605])). 10.20/1.66 tff(f741,plain,( 10.20/1.66 ( ! [X0] : ((k @ X0 @ sK2 = $false) | (i @ X0 @ sK4 = $false) | (i @ sK5 @ sK4 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f696])). 10.20/1.66 tff(f742,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (k @ X0 @ sK2 = $false) | (i @ X0 @ sK4 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(forward_demodulation,[],[f741,f310])). 10.20/1.66 tff(f743,plain,( 10.20/1.66 ( ! [X0] : ((k @ X0 @ sK2 = $false) | (i @ X0 @ sK4 = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f742])). 10.20/1.66 tff(f751,plain,( 10.20/1.66 ($false = $true) | (i @ sK5 @ sK4 = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(superposition,[],[f282,f743])). 10.20/1.66 tff(f752,plain,( 10.20/1.66 (i @ sK5 @ sK4 = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f751])). 10.20/1.66 tff(f754,plain,( 10.20/1.66 ($false = $true) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(backward_demodulation,[],[f752,f310])). 10.20/1.66 tff(f755,plain,( 10.20/1.66 $false | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f754])). 10.20/1.66 tff(f756,plain,( 10.20/1.66 ~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_16 | ~spl0_22), 10.20/1.66 inference(avatar_contradiction_clause,[],[f755])). 10.20/1.66 tff(f768,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o'] : (($false = $true) | (X0 @ (sK12 @ sK2 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK4) = $false)) ) | (~spl0_2 | ~spl0_10 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f282,f737])). 10.20/1.66 tff(f771,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o'] : ((X0 @ (sK12 @ sK2 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK4) = $false)) ) | (~spl0_2 | ~spl0_10 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f768])). 10.20/1.66 tff(f910,plain,( 10.20/1.66 spl0_40 <=> ! [X1,X3 : '$i' -> '$o',X7,X6] : ((i @ X1 @ X7 = $false) | (X3 @ (sK13 @ X3 @ X7) = $false) | (l @ X6 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_40])])). 10.20/1.66 tff(f911,plain,( 10.20/1.66 ( ! [X6,X7,X3:'$i' -> '$o',X1] : ((l @ X6 @ (sK12 @ X6 @ X3) = $true) | (X3 @ (sK13 @ X3 @ X7) = $false) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false)) ) | ~spl0_40), 10.20/1.66 inference(avatar_component_clause,[],[f910])). 10.20/1.66 tff(f912,plain,( 10.20/1.66 spl0_40 | spl0_22), 10.20/1.66 inference(avatar_split_clause,[],[f267,f496,f910])). 10.20/1.66 tff(f925,plain,( 10.20/1.66 ( ! [X4,X2:'$i' -> '$o',X3] : (($false = $true) | (j @ sK4 @ (sK12 @ sK2 @ X2) = $false) | (X2 @ (sK13 @ X2 @ X3) = $false) | (i @ X4 @ X3 = $false) | (k @ X4 @ sK2 = $false)) ) | (~spl0_6 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f292,f911])). 10.20/1.66 tff(f926,plain,( 10.20/1.66 ( ! [X4,X2:'$i' -> '$o',X3] : ((k @ X4 @ sK2 = $false) | (X2 @ (sK13 @ X2 @ X3) = $false) | (i @ X4 @ X3 = $false) | (j @ sK4 @ (sK12 @ sK2 @ X2) = $false)) ) | (~spl0_6 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f925])). 10.20/1.66 tff(f930,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK13 @ X0 @ X1) = $false) | (i @ sK5 @ X1 = $false) | (j @ sK4 @ (sK12 @ sK2 @ X0) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f282,f926])). 10.20/1.66 tff(f931,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : ((j @ sK4 @ (sK12 @ sK2 @ X0) = $false) | (i @ sK5 @ X1 = $false) | (X0 @ (sK13 @ X0 @ X1) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f930])). 10.20/1.66 tff(f936,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false) | (i @ sK5 @ X0 = $false) | (j @ sK4 @ (sK13 @ (j @ sK4) @ X0) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_14 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f771,f931])). 10.20/1.66 tff(f937,plain,( 10.20/1.66 ( ! [X0] : ((j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false) | (i @ sK5 @ X0 = $false) | (j @ sK4 @ (sK13 @ (j @ sK4) @ X0) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_14 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f936])). 10.20/1.66 tff(f941,plain,( 10.20/1.66 spl0_42 <=> ! [X0] : ((i @ sK5 @ X0 = $false) | (j @ sK4 @ (sK13 @ (j @ sK4) @ X0) = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_42])])). 10.20/1.66 tff(f942,plain,( 10.20/1.66 ( ! [X0] : ((i @ sK5 @ X0 = $false) | (j @ sK4 @ (sK13 @ (j @ sK4) @ X0) = $false)) ) | ~spl0_42), 10.20/1.66 inference(avatar_component_clause,[],[f941])). 10.20/1.66 tff(f944,plain,( 10.20/1.66 spl0_45 <=> (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_45])])). 10.20/1.66 tff(f945,plain,( 10.20/1.66 (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) != $false) | ~spl0_45), 10.20/1.66 inference(avatar_component_clause,[],[f944])). 10.20/1.66 tff(f947,plain,( 10.20/1.66 spl0_44 <=> (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_44])])). 10.20/1.66 tff(f948,plain,( 10.20/1.66 (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false) | ~spl0_44), 10.20/1.66 inference(avatar_component_clause,[],[f947])). 10.20/1.66 tff(f949,plain,( 10.20/1.66 spl0_42 | spl0_44 | ~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_14 | ~spl0_40), 10.20/1.66 inference(avatar_split_clause,[],[f937,f910,f334,f309,f291,f281,f947,f941])). 10.20/1.66 tff(f952,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (i @ X0 @ sK4 = $false) | (j @ sK4 @ (sK12 @ X1 @ (j @ sK4)) = $true) | (k @ X0 @ X1 = $false)) ) | (~spl0_24 | ~spl0_44)), 10.20/1.66 inference(superposition,[],[f606,f948])). 10.20/1.66 tff(f953,plain,( 10.20/1.66 ( ! [X0,X1] : ((i @ X0 @ sK4 = $false) | (j @ sK4 @ (sK12 @ X1 @ (j @ sK4)) = $true) | (k @ X0 @ X1 = $false)) ) | (~spl0_24 | ~spl0_44)), 10.20/1.66 inference(trivial_inequality_removal,[],[f952])). 10.20/1.66 tff(f958,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (j @ sK4 @ (sK12 @ X0 @ (j @ sK4)) = $true) | (k @ sK5 @ X0 = $false)) ) | (~spl0_10 | ~spl0_24 | ~spl0_44)), 10.20/1.66 inference(superposition,[],[f310,f953])). 10.20/1.66 tff(f959,plain,( 10.20/1.66 ( ! [X0] : ((j @ sK4 @ (sK12 @ X0 @ (j @ sK4)) = $true) | (k @ sK5 @ X0 = $false)) ) | (~spl0_10 | ~spl0_24 | ~spl0_44)), 10.20/1.66 inference(trivial_inequality_removal,[],[f958])). 10.20/1.66 tff(f982,plain,( 10.20/1.66 spl0_49 <=> (k @ sK5 @ sK2 != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_49])])). 10.20/1.66 tff(f983,plain,( 10.20/1.66 (k @ sK5 @ sK2 != $false) | ~spl0_49), 10.20/1.66 inference(avatar_component_clause,[],[f982])). 10.20/1.66 tff(f985,plain,( 10.20/1.66 spl0_48 <=> (k @ sK5 @ sK2 = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_48])])). 10.20/1.66 tff(f986,plain,( 10.20/1.66 (k @ sK5 @ sK2 = $false) | ~spl0_48), 10.20/1.66 inference(avatar_component_clause,[],[f985])). 10.20/1.66 tff(f1026,plain,( 10.20/1.66 spl0_54 <=> ! [X1,X3 : '$i' -> '$o',X7,X6] : ((i @ X1 @ X7 = $false) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (l @ X6 @ (sK12 @ X6 @ X3) = $true) | (k @ X1 @ X6 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_54])])). 10.20/1.66 tff(f1027,plain,( 10.20/1.66 ( ! [X6,X7,X3:'$i' -> '$o',X1] : ((l @ X6 @ (sK12 @ X6 @ X3) = $true) | (j @ X7 @ (sK13 @ X3 @ X7) = $true) | (i @ X1 @ X7 = $false) | (k @ X1 @ X6 = $false)) ) | ~spl0_54), 10.20/1.66 inference(avatar_component_clause,[],[f1026])). 10.20/1.66 tff(f1028,plain,( 10.20/1.66 spl0_54 | spl0_22), 10.20/1.66 inference(avatar_split_clause,[],[f270,f496,f1026])). 10.20/1.66 tff(f1044,plain,( 10.20/1.66 spl0_54 | spl0_16), 10.20/1.66 inference(avatar_split_clause,[],[f269,f337,f1026])). 10.20/1.66 tff(f1049,plain,( 10.20/1.66 ( ! [X6,X4:'$i' -> '$o',X5] : (($false = $true) | (j @ sK4 @ (sK12 @ sK2 @ X4) = $false) | (j @ X5 @ (sK13 @ X4 @ X5) = $true) | (i @ X6 @ X5 = $false) | (k @ X6 @ sK2 = $false)) ) | (~spl0_6 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f292,f1027])). 10.20/1.66 tff(f1050,plain,( 10.20/1.66 ( ! [X6,X4:'$i' -> '$o',X5] : ((k @ X6 @ sK2 = $false) | (j @ X5 @ (sK13 @ X4 @ X5) = $true) | (i @ X6 @ X5 = $false) | (j @ sK4 @ (sK12 @ sK2 @ X4) = $false)) ) | (~spl0_6 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1049])). 10.20/1.66 tff(f1055,plain,( 10.20/1.66 ( ! [X2,X3:'$i' -> '$o'] : (($false = $true) | (j @ X2 @ (sK13 @ X3 @ X2) = $true) | (i @ sK5 @ X2 = $false) | (j @ sK4 @ (sK12 @ sK2 @ X3) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f282,f1050])). 10.20/1.66 tff(f1056,plain,( 10.20/1.66 ( ! [X2,X3:'$i' -> '$o'] : ((i @ sK5 @ X2 = $false) | (j @ X2 @ (sK13 @ X3 @ X2) = $true) | (j @ sK4 @ (sK12 @ sK2 @ X3) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1055])). 10.20/1.66 tff(f1063,plain,( 10.20/1.66 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (j @ sK4 @ (sK13 @ X1 @ sK4) = $true) | (j @ sK4 @ (sK12 @ sK2 @ X1) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f310,f1056])). 10.20/1.66 tff(f1066,plain,( 10.20/1.66 ( ! [X1:'$i' -> '$o'] : ((j @ sK4 @ (sK13 @ X1 @ sK4) = $true) | (j @ sK4 @ (sK12 @ sK2 @ X1) = $false)) ) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1063])). 10.20/1.66 tff(f1075,plain,( 10.20/1.66 ($false = $true) | (j @ sK4 @ (sK12 @ sK2 @ (j @ sK4)) = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_44 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f948,f1066])). 10.20/1.66 tff(f1078,plain,( 10.20/1.66 (j @ sK4 @ (sK12 @ sK2 @ (j @ sK4)) = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_44 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1075])). 10.20/1.66 tff(f1090,plain,( 10.20/1.66 ($false = $true) | (k @ sK5 @ sK2 = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_44 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f959,f1078])). 10.20/1.66 tff(f1093,plain,( 10.20/1.66 (k @ sK5 @ sK2 = $false) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_44 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1090])). 10.20/1.66 tff(f1099,plain,( 10.20/1.66 $false | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_44 | ~spl0_49 | ~spl0_54)), 10.20/1.66 inference(subsumption_resolution,[],[f1093,f983])). 10.20/1.66 tff(f1100,plain,( 10.20/1.66 ~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_44 | spl0_49 | ~spl0_54), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1099])). 10.20/1.66 tff(f1101,plain,( 10.20/1.66 ($false = $true) | (~spl0_2 | ~spl0_48)), 10.20/1.66 inference(backward_demodulation,[],[f986,f282])). 10.20/1.66 tff(f1104,plain,( 10.20/1.66 $false | (~spl0_2 | ~spl0_48)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1101])). 10.20/1.66 tff(f1105,plain,( 10.20/1.66 ~spl0_2 | ~spl0_48), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1104])). 10.20/1.66 tff(f1147,plain,( 10.20/1.66 ($false = $true) | (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false) | (~spl0_10 | ~spl0_42)), 10.20/1.66 inference(superposition,[],[f310,f942])). 10.20/1.66 tff(f1150,plain,( 10.20/1.66 (j @ sK4 @ (sK13 @ (j @ sK4) @ sK4) = $false) | (~spl0_10 | ~spl0_42)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1147])). 10.20/1.66 tff(f1156,plain,( 10.20/1.66 $false | (~spl0_10 | ~spl0_42 | ~spl0_45)), 10.20/1.66 inference(subsumption_resolution,[],[f1150,f945])). 10.20/1.66 tff(f1157,plain,( 10.20/1.66 ~spl0_10 | ~spl0_42 | spl0_45), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1156])). 10.20/1.66 tff(f1169,plain,( 10.20/1.66 ($true != $true) | (k @ sK5 @ sK2 = $false) | ~spl0_3), 10.20/1.66 inference(fool_paramodulation,[],[f279])). 10.20/1.66 tff(f1174,plain,( 10.20/1.66 (k @ sK5 @ sK2 = $false) | ~spl0_3), 10.20/1.66 inference(trivial_inequality_removal,[],[f1169])). 10.20/1.66 tff(f1178,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK9 = $true) | ~spl0_3), 10.20/1.66 inference(forward_demodulation,[],[f205,f1174])). 10.20/1.66 tff(f1179,plain,( 10.20/1.66 (i @ sK1 @ sK9 = $true) | ~spl0_3), 10.20/1.66 inference(trivial_inequality_removal,[],[f1178])). 10.20/1.66 tff(f1182,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK13 @ X0 @ sK9) = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (k @ sK1 @ X1 = $false)) ) | (~spl0_3 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f335,f1179])). 10.20/1.66 tff(f1183,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : ((k @ sK1 @ X1 = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK9) = $false)) ) | (~spl0_3 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1182])). 10.20/1.66 tff(f1189,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (l @ sK8 @ X1 = $false) | (sK3 @ X1 = $false)) ) | ~spl0_3), 10.20/1.66 inference(forward_demodulation,[],[f194,f1174])). 10.20/1.66 tff(f1190,plain,( 10.20/1.66 ( ! [X1] : ((sK3 @ X1 = $false) | (l @ sK8 @ X1 = $false)) ) | ~spl0_3), 10.20/1.66 inference(trivial_inequality_removal,[],[f1189])). 10.20/1.66 tff(f1191,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (j @ sK9 @ X1 = $false) | (sK3 @ X1 = $true)) ) | ~spl0_3), 10.20/1.66 inference(forward_demodulation,[],[f204,f1174])). 10.20/1.66 tff(f1192,plain,( 10.20/1.66 ( ! [X1] : ((j @ sK9 @ X1 = $false) | (sK3 @ X1 = $true)) ) | ~spl0_3), 10.20/1.66 inference(trivial_inequality_removal,[],[f1191])). 10.20/1.66 tff(f1195,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : (($false = $true) | (i @ X1 @ sK9 = $false) | (X0 @ (sK12 @ X2 @ X0) = $true) | (k @ X1 @ X2 = $false) | (sK3 @ (sK13 @ X0 @ sK9) = $true)) ) | (~spl0_3 | ~spl0_24)), 10.20/1.66 inference(superposition,[],[f606,f1192])). 10.20/1.66 tff(f1196,plain,( 10.20/1.66 ( ! [X4,X3] : (($false = $true) | (k @ X4 @ X3 = $false) | (i @ X4 @ sK9 = $false) | (sK3 @ (sK14 @ sK9 @ X3) = $true)) ) | (~spl0_3 | ~spl0_16)), 10.20/1.66 inference(superposition,[],[f338,f1192])). 10.20/1.66 tff(f1197,plain,( 10.20/1.66 ( ! [X4,X3] : ((sK3 @ (sK14 @ sK9 @ X3) = $true) | (i @ X4 @ sK9 = $false) | (k @ X4 @ X3 = $false)) ) | (~spl0_3 | ~spl0_16)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1196])). 10.20/1.66 tff(f1198,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : ((i @ X1 @ sK9 = $false) | (X0 @ (sK12 @ X2 @ X0) = $true) | (k @ X1 @ X2 = $false) | (sK3 @ (sK13 @ X0 @ sK9) = $true)) ) | (~spl0_3 | ~spl0_24)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1195])). 10.20/1.66 tff(f1203,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (l @ sK8 @ (sK14 @ sK9 @ X0) = $false) | (i @ X1 @ sK9 = $false) | (k @ X1 @ X0 = $false)) ) | (~spl0_3 | ~spl0_16)), 10.20/1.66 inference(superposition,[],[f1190,f1197])). 10.20/1.66 tff(f1204,plain,( 10.20/1.66 ( ! [X0,X1] : ((l @ sK8 @ (sK14 @ sK9 @ X0) = $false) | (i @ X1 @ sK9 = $false) | (k @ X1 @ X0 = $false)) ) | (~spl0_3 | ~spl0_16)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1203])). 10.20/1.66 tff(f1215,plain,( 10.20/1.66 ( ! [X1:'$i' -> '$o'] : (($false = $true) | (X1 @ (sK12 @ sK8 @ X1) = $true) | (X1 @ (sK13 @ X1 @ sK9) = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f276,f1183])). 10.20/1.66 tff(f1220,plain,( 10.20/1.66 ( ! [X1:'$i' -> '$o'] : ((X1 @ (sK13 @ X1 @ sK9) = $false) | (X1 @ (sK12 @ sK8 @ X1) = $true)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1215])). 10.20/1.66 tff(f1392,plain,( 10.20/1.66 spl0_57 <=> (sK3 @ (sK13 @ sK3 @ sK9) != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_57])])). 10.20/1.66 tff(f1393,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK9) != $false) | ~spl0_57), 10.20/1.66 inference(avatar_component_clause,[],[f1392])). 10.20/1.66 tff(f1395,plain,( 10.20/1.66 spl0_56 <=> (sK3 @ (sK13 @ sK3 @ sK9) = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_56])])). 10.20/1.66 tff(f1396,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK9) = $false) | ~spl0_56), 10.20/1.66 inference(avatar_component_clause,[],[f1395])). 10.20/1.66 tff(f1407,plain,( 10.20/1.66 ($false != $false) | (sK3 @ (sK12 @ sK8 @ sK3) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_57)), 10.20/1.66 inference(superposition,[],[f1393,f1220])). 10.20/1.66 tff(f1410,plain,( 10.20/1.66 (sK3 @ (sK12 @ sK8 @ sK3) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1407])). 10.20/1.66 tff(f1451,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK12 @ X1 @ X0) = $true) | (k @ sK1 @ X1 = $false) | (sK3 @ (sK13 @ X0 @ sK9) = $true)) ) | (~spl0_3 | ~spl0_24)), 10.20/1.66 inference(superposition,[],[f1179,f1198])). 10.20/1.66 tff(f1452,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : ((sK3 @ (sK13 @ X0 @ sK9) = $true) | (k @ sK1 @ X1 = $false) | (X0 @ (sK12 @ X1 @ X0) = $true)) ) | (~spl0_3 | ~spl0_24)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1451])). 10.20/1.66 tff(f1467,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (k @ sK1 @ X0 = $false) | (sK3 @ (sK12 @ X0 @ sK3) = $true)) ) | (~spl0_3 | ~spl0_24 | ~spl0_56)), 10.20/1.66 inference(superposition,[],[f1396,f1452])). 10.20/1.66 tff(f1474,plain,( 10.20/1.66 ( ! [X0] : ((sK3 @ (sK12 @ X0 @ sK3) = $true) | (k @ sK1 @ X0 = $false)) ) | (~spl0_3 | ~spl0_24 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1467])). 10.20/1.66 tff(f1483,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (l @ sK8 @ (sK12 @ X0 @ sK3) = $false) | (k @ sK1 @ X0 = $false)) ) | (~spl0_3 | ~spl0_24 | ~spl0_56)), 10.20/1.66 inference(superposition,[],[f1190,f1474])). 10.20/1.66 tff(f1484,plain,( 10.20/1.66 ( ! [X0] : ((l @ sK8 @ (sK12 @ X0 @ sK3) = $false) | (k @ sK1 @ X0 = $false)) ) | (~spl0_3 | ~spl0_24 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1483])). 10.20/1.66 tff(f1495,plain,( 10.20/1.66 spl0_67 <=> (k @ sK1 @ sK10 != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_67])])). 10.20/1.66 tff(f1496,plain,( 10.20/1.66 (k @ sK1 @ sK10 != $false) | ~spl0_67), 10.20/1.66 inference(avatar_component_clause,[],[f1495])). 10.20/1.66 tff(f1498,plain,( 10.20/1.66 spl0_66 <=> (k @ sK1 @ sK10 = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_66])])). 10.20/1.66 tff(f1499,plain,( 10.20/1.66 (k @ sK1 @ sK10 = $false) | ~spl0_66), 10.20/1.66 inference(avatar_component_clause,[],[f1498])). 10.20/1.66 tff(f1532,plain,( 10.20/1.66 ( ! [X2,X1] : (($false = $true) | (k @ sK1 @ sK8 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ X2 @ X1 = $false) | (k @ X2 @ sK8 = $false)) ) | (~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(superposition,[],[f1484,f1027])). 10.20/1.66 tff(f1539,plain,( 10.20/1.66 ( ! [X2,X1] : ((k @ sK1 @ sK8 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ X2 @ X1 = $false) | (k @ X2 @ sK8 = $false)) ) | (~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1532])). 10.20/1.66 tff(f1541,plain,( 10.20/1.66 ( ! [X2,X1] : (($false = $true) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ X2 @ X1 = $false) | (k @ X2 @ sK8 = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(forward_demodulation,[],[f1539,f276])). 10.20/1.66 tff(f1542,plain,( 10.20/1.66 ( ! [X2,X1] : ((k @ X2 @ sK8 = $false) | (i @ X2 @ X1 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true)) ) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1541])). 10.20/1.66 tff(f1563,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (i @ sK1 @ X0 = $false) | (j @ X0 @ (sK13 @ sK3 @ X0) = $true)) ) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(superposition,[],[f276,f1542])). 10.20/1.66 tff(f1564,plain,( 10.20/1.66 ( ! [X0] : ((j @ X0 @ (sK13 @ sK3 @ X0) = $true) | (i @ sK1 @ X0 = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1563])). 10.20/1.66 tff(f1570,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK9 = $false) | (sK3 @ (sK13 @ sK3 @ sK9) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(superposition,[],[f1564,f1192])). 10.20/1.66 tff(f1578,plain,( 10.20/1.66 (i @ sK1 @ sK9 = $false) | (sK3 @ (sK13 @ sK3 @ sK9) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1570])). 10.20/1.66 tff(f1581,plain,( 10.20/1.66 ($false = $true) | (sK3 @ (sK13 @ sK3 @ sK9) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(forward_demodulation,[],[f1578,f1179])). 10.20/1.66 tff(f1582,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK9) = $true) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1581])). 10.20/1.66 tff(f1583,plain,( 10.20/1.66 ($false = $true) | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(forward_demodulation,[],[f1582,f1396])). 10.20/1.66 tff(f1584,plain,( 10.20/1.66 $false | (~spl0_0 | ~spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1583])). 10.20/1.66 tff(f1585,plain,( 10.20/1.66 ~spl0_0 | spl0_3 | ~spl0_24 | ~spl0_54 | ~spl0_56), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1584])). 10.20/1.66 tff(f1640,plain,( 10.20/1.66 ($false = $true) | (l @ sK8 @ (sK12 @ sK8 @ sK3) = $false) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_57)), 10.20/1.66 inference(superposition,[],[f1190,f1410])). 10.20/1.66 tff(f1641,plain,( 10.20/1.66 (l @ sK8 @ (sK12 @ sK8 @ sK3) = $false) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1640])). 10.20/1.66 tff(f1659,plain,( 10.20/1.66 ( ! [X2,X3] : (($false = $true) | (sK3 @ (sK13 @ sK3 @ X2) = $false) | (i @ X3 @ X2 = $false) | (k @ X3 @ sK8 = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(superposition,[],[f911,f1641])). 10.20/1.66 tff(f1660,plain,( 10.20/1.66 ( ! [X2,X3] : ((k @ X3 @ sK8 = $false) | (i @ X3 @ X2 = $false) | (sK3 @ (sK13 @ sK3 @ X2) = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1659])). 10.20/1.66 tff(f1682,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (i @ sK1 @ X0 = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(superposition,[],[f276,f1660])). 10.20/1.66 tff(f1683,plain,( 10.20/1.66 ( ! [X0] : ((sK3 @ (sK13 @ sK3 @ X0) = $false) | (i @ sK1 @ X0 = $false)) ) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1682])). 10.20/1.66 tff(f1688,plain,( 10.20/1.66 ($false != $false) | (i @ sK1 @ sK9 = $false) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(superposition,[],[f1393,f1683])). 10.20/1.66 tff(f1691,plain,( 10.20/1.66 (i @ sK1 @ sK9 = $false) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1688])). 10.20/1.66 tff(f1698,plain,( 10.20/1.66 ($false = $true) | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(backward_demodulation,[],[f1691,f1179])). 10.20/1.66 tff(f1701,plain,( 10.20/1.66 $false | (~spl0_0 | ~spl0_3 | ~spl0_14 | ~spl0_40 | ~spl0_57)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1698])). 10.20/1.66 tff(f1702,plain,( 10.20/1.66 ~spl0_0 | spl0_3 | ~spl0_14 | ~spl0_40 | spl0_57), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1701])). 10.20/1.66 tff(f1715,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (i @ X0 @ sK9 = $false) | (k @ X0 @ sK8 = $false) | (k @ X1 @ sK8 = $false) | (i @ X1 @ sK9 = $false)) ) | (~spl0_3 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(superposition,[],[f1204,f497])). 10.20/1.66 tff(f1718,plain,( 10.20/1.66 ( ! [X0,X1] : ((i @ X0 @ sK9 = $false) | (k @ X0 @ sK8 = $false) | (k @ X1 @ sK8 = $false) | (i @ X1 @ sK9 = $false)) ) | (~spl0_3 | ~spl0_16 | ~spl0_22)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1715])). 10.20/1.66 tff(f1724,plain,( 10.20/1.66 spl0_76 <=> ! [X1] : ((k @ X1 @ sK8 = $false) | (i @ X1 @ sK9 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_76])])). 10.20/1.66 tff(f1725,plain,( 10.20/1.66 ( ! [X1] : ((k @ X1 @ sK8 = $false) | (i @ X1 @ sK9 = $false)) ) | ~spl0_76), 10.20/1.66 inference(avatar_component_clause,[],[f1724])). 10.20/1.66 tff(f1726,plain,( 10.20/1.66 spl0_76 | spl0_76 | spl0_3 | ~spl0_16 | ~spl0_22), 10.20/1.66 inference(avatar_split_clause,[],[f1718,f496,f337,f278,f1724,f1724])). 10.20/1.66 tff(f1729,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK9 = $false) | (~spl0_0 | ~spl0_76)), 10.20/1.66 inference(superposition,[],[f276,f1725])). 10.20/1.66 tff(f1730,plain,( 10.20/1.66 (i @ sK1 @ sK9 = $false) | (~spl0_0 | ~spl0_76)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1729])). 10.20/1.66 tff(f1733,plain,( 10.20/1.66 ($false = $true) | (~spl0_0 | ~spl0_3 | ~spl0_76)), 10.20/1.66 inference(backward_demodulation,[],[f1730,f1179])). 10.20/1.66 tff(f1736,plain,( 10.20/1.66 $false | (~spl0_0 | ~spl0_3 | ~spl0_76)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1733])). 10.20/1.66 tff(f1737,plain,( 10.20/1.66 ~spl0_0 | spl0_3 | ~spl0_76), 10.20/1.66 inference(avatar_contradiction_clause,[],[f1736])). 10.20/1.66 tff(f1807,plain,( 10.20/1.66 spl0_40 | spl0_16), 10.20/1.66 inference(avatar_split_clause,[],[f266,f337,f910])). 10.20/1.66 tff(f1864,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : (($false = $true) | (X0 @ (sK13 @ X0 @ sK7) = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (k @ sK1 @ X1 = $false)) ) | (~spl0_12 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f335,f321])). 10.20/1.66 tff(f1865,plain,( 10.20/1.66 ( ! [X0:'$i' -> '$o',X1] : ((k @ sK1 @ X1 = $false) | (X0 @ (sK12 @ X1 @ X0) = $true) | (X0 @ (sK13 @ X0 @ sK7) = $false)) ) | (~spl0_12 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1864])). 10.20/1.66 tff(f1923,plain,( 10.20/1.66 spl0_82 <=> ! [X2] : ((l @ sK6 @ X2 = $false) | (sK3 @ X2 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_82])])). 10.20/1.66 tff(f1924,plain,( 10.20/1.66 ( ! [X2] : ((l @ sK6 @ X2 = $false) | (sK3 @ X2 = $false)) ) | ~spl0_82), 10.20/1.66 inference(avatar_component_clause,[],[f1923])). 10.20/1.66 tff(f1925,plain,( 10.20/1.66 spl0_82 | spl0_6), 10.20/1.66 inference(avatar_split_clause,[],[f169,f291,f1923])). 10.20/1.66 tff(f1935,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (k @ X1 @ sK6 = $false) | (i @ X1 @ X0 = $false) | (sK3 @ (sK14 @ X0 @ sK6) = $false)) ) | (~spl0_22 | ~spl0_82)), 10.20/1.66 inference(superposition,[],[f497,f1924])). 10.20/1.66 tff(f1936,plain,( 10.20/1.66 ( ! [X0,X1] : ((sK3 @ (sK14 @ X0 @ sK6) = $false) | (i @ X1 @ X0 = $false) | (k @ X1 @ sK6 = $false)) ) | (~spl0_22 | ~spl0_82)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1935])). 10.20/1.66 tff(f1940,plain,( 10.20/1.66 spl0_84 <=> ! [X2] : ((j @ sK7 @ X2 = $false) | (sK3 @ X2 = $true))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_84])])). 10.20/1.66 tff(f1941,plain,( 10.20/1.66 ( ! [X2] : ((j @ sK7 @ X2 = $false) | (sK3 @ X2 = $true)) ) | ~spl0_84), 10.20/1.66 inference(avatar_component_clause,[],[f1940])). 10.20/1.66 tff(f1942,plain,( 10.20/1.66 spl0_84 | spl0_6), 10.20/1.66 inference(avatar_split_clause,[],[f179,f291,f1940])). 10.20/1.66 tff(f1969,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : (($false = $true) | (i @ X1 @ sK7 = $false) | (X0 @ (sK12 @ X2 @ X0) = $true) | (k @ X1 @ X2 = $false) | (sK3 @ (sK13 @ X0 @ sK7) = $true)) ) | (~spl0_24 | ~spl0_84)), 10.20/1.66 inference(superposition,[],[f606,f1941])). 10.20/1.66 tff(f1970,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : ((sK3 @ (sK13 @ X0 @ sK7) = $true) | (X0 @ (sK12 @ X2 @ X0) = $true) | (k @ X1 @ X2 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_24 | ~spl0_84)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1969])). 10.20/1.66 tff(f1997,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (sK3 @ (sK14 @ sK7 @ X0) = $true) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_16 | ~spl0_84)), 10.20/1.66 inference(superposition,[],[f1941,f338])). 10.20/1.66 tff(f1998,plain,( 10.20/1.66 ( ! [X0,X1] : ((sK3 @ (sK14 @ sK7 @ X0) = $true) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_16 | ~spl0_84)), 10.20/1.66 inference(trivial_inequality_removal,[],[f1997])). 10.20/1.66 tff(f2040,plain,( 10.20/1.66 ( ! [X4,X2:'$i' -> '$o',X3] : (($false = $true) | (sK3 @ (sK12 @ sK6 @ X2) = $false) | (X2 @ (sK13 @ X2 @ X3) = $false) | (i @ X4 @ X3 = $false) | (k @ X4 @ sK6 = $false)) ) | (~spl0_40 | ~spl0_82)), 10.20/1.66 inference(superposition,[],[f1924,f911])). 10.20/1.66 tff(f2041,plain,( 10.20/1.66 ( ! [X4,X2:'$i' -> '$o',X3] : ((sK3 @ (sK12 @ sK6 @ X2) = $false) | (X2 @ (sK13 @ X2 @ X3) = $false) | (i @ X4 @ X3 = $false) | (k @ X4 @ sK6 = $false)) ) | (~spl0_40 | ~spl0_82)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2040])). 10.20/1.66 tff(f2047,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (i @ X0 @ sK7 = $false) | (k @ X0 @ sK6 = $false) | (k @ X1 @ sK6 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_16 | ~spl0_22 | ~spl0_82 | ~spl0_84)), 10.20/1.66 inference(superposition,[],[f1936,f1998])). 10.20/1.66 tff(f2048,plain,( 10.20/1.66 ( ! [X0,X1] : ((i @ X0 @ sK7 = $false) | (k @ X0 @ sK6 = $false) | (k @ X1 @ sK6 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_16 | ~spl0_22 | ~spl0_82 | ~spl0_84)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2047])). 10.20/1.66 tff(f2051,plain,( 10.20/1.66 spl0_90 <=> ! [X1] : ((k @ X1 @ sK6 = $false) | (i @ X1 @ sK7 = $false))), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_90])])). 10.20/1.66 tff(f2052,plain,( 10.20/1.66 ( ! [X1] : ((k @ X1 @ sK6 = $false) | (i @ X1 @ sK7 = $false)) ) | ~spl0_90), 10.20/1.66 inference(avatar_component_clause,[],[f2051])). 10.20/1.66 tff(f2053,plain,( 10.20/1.66 spl0_90 | spl0_90 | ~spl0_16 | ~spl0_22 | ~spl0_82 | ~spl0_84), 10.20/1.66 inference(avatar_split_clause,[],[f2048,f1940,f1923,f496,f337,f2051,f2051])). 10.20/1.66 tff(f2056,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_90)), 10.20/1.66 inference(superposition,[],[f289,f2052])). 10.20/1.66 tff(f2057,plain,( 10.20/1.66 (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_90)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2056])). 10.20/1.66 tff(f2060,plain,( 10.20/1.66 ($false = $true) | (~spl0_4 | ~spl0_12 | ~spl0_90)), 10.20/1.66 inference(backward_demodulation,[],[f2057,f321])). 10.20/1.66 tff(f2063,plain,( 10.20/1.66 $false | (~spl0_4 | ~spl0_12 | ~spl0_90)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2060])). 10.20/1.66 tff(f2064,plain,( 10.20/1.66 ~spl0_4 | ~spl0_12 | ~spl0_90), 10.20/1.66 inference(avatar_contradiction_clause,[],[f2063])). 10.20/1.66 tff(f2331,plain,( 10.20/1.66 ( ! [X1] : ((l @ sK10 @ X1 = $false) | (sK3 @ X1 = $false)) ) | ~spl0_11), 10.20/1.66 inference(subsumption_resolution,[],[f217,f307])). 10.20/1.66 tff(f2338,plain,( 10.20/1.66 ($false != $false) | (sK3 @ (sK12 @ sK10 @ sK3) = $false) | (~spl0_11 | ~spl0_21)), 10.20/1.66 inference(superposition,[],[f476,f2331])). 10.20/1.66 tff(f2343,plain,( 10.20/1.66 (sK3 @ (sK12 @ sK10 @ sK3) = $false) | (~spl0_11 | ~spl0_21)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2338])). 10.20/1.66 tff(f2355,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (j @ sK11 @ X1 = $false) | (sK3 @ X1 = $true)) ) | ~spl0_11), 10.20/1.66 inference(forward_demodulation,[],[f227,f314])). 10.20/1.66 tff(f2356,plain,( 10.20/1.66 ( ! [X1] : ((sK3 @ X1 = $true) | (j @ sK11 @ X1 = $false)) ) | ~spl0_11), 10.20/1.66 inference(trivial_inequality_removal,[],[f2355])). 10.20/1.66 tff(f2573,plain,( 10.20/1.66 ( ! [X2:'$i' -> '$o'] : (($false = $true) | (X2 @ (sK12 @ sK6 @ X2) = $true) | (X2 @ (sK13 @ X2 @ sK7) = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14)), 10.20/1.66 inference(superposition,[],[f289,f1865])). 10.20/1.66 tff(f2582,plain,( 10.20/1.66 ( ! [X2:'$i' -> '$o'] : ((X2 @ (sK12 @ sK6 @ X2) = $true) | (X2 @ (sK13 @ X2 @ sK7) = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2573])). 10.20/1.66 tff(f2591,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_26)), 10.20/1.66 inference(superposition,[],[f304,f701])). 10.20/1.66 tff(f2592,plain,( 10.20/1.66 (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_26)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2591])). 10.20/1.66 tff(f2595,plain,( 10.20/1.66 ($false = $true) | (~spl0_8 | ~spl0_11 | ~spl0_26)), 10.20/1.66 inference(backward_demodulation,[],[f2592,f327])). 10.20/1.66 tff(f2596,plain,( 10.20/1.66 $false | (~spl0_8 | ~spl0_11 | ~spl0_26)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2595])). 10.20/1.66 tff(f2597,plain,( 10.20/1.66 ~spl0_8 | spl0_11 | ~spl0_26), 10.20/1.66 inference(avatar_contradiction_clause,[],[f2596])). 10.20/1.66 tff(f2612,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (sK3 @ (sK13 @ sK3 @ X0) = $false) | (i @ X1 @ X0 = $false) | (k @ X1 @ sK10 = $false)) ) | (~spl0_20 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f911,f479])). 10.20/1.66 tff(f2613,plain,( 10.20/1.66 ( ! [X0,X1] : ((k @ X1 @ sK10 = $false) | (i @ X1 @ X0 = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false)) ) | (~spl0_20 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2612])). 10.20/1.66 tff(f2626,plain,( 10.20/1.66 ( ! [X2,X3] : (($false = $true) | (j @ X2 @ (sK13 @ sK3 @ X2) = $true) | (i @ X3 @ X2 = $false) | (k @ X3 @ sK10 = $false)) ) | (~spl0_20 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f479,f1027])). 10.20/1.66 tff(f2631,plain,( 10.20/1.66 ( ! [X2,X3] : ((k @ X3 @ sK10 = $false) | (i @ X3 @ X2 = $false) | (j @ X2 @ (sK13 @ sK3 @ X2) = $true)) ) | (~spl0_20 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2626])). 10.20/1.66 tff(f2867,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (i @ sK1 @ X1 = $false) | (sK3 @ (sK13 @ sK3 @ X1) = $false)) ) | (~spl0_8 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f304,f2613])). 10.20/1.66 tff(f2868,plain,( 10.20/1.66 ( ! [X1] : ((sK3 @ (sK13 @ sK3 @ X1) = $false) | (i @ sK1 @ X1 = $false)) ) | (~spl0_8 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2867])). 10.20/1.66 tff(f2875,plain,( 10.20/1.66 ($false != $false) | (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_19 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(superposition,[],[f470,f2868])). 10.20/1.66 tff(f2880,plain,( 10.20/1.66 (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_19 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2875])). 10.20/1.66 tff(f2889,plain,( 10.20/1.66 ($false = $true) | (~spl0_8 | ~spl0_11 | ~spl0_19 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(backward_demodulation,[],[f2880,f327])). 10.20/1.66 tff(f2890,plain,( 10.20/1.66 $false | (~spl0_8 | ~spl0_11 | ~spl0_19 | ~spl0_20 | ~spl0_40)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2889])). 10.20/1.66 tff(f2891,plain,( 10.20/1.66 ~spl0_8 | spl0_11 | spl0_19 | ~spl0_20 | ~spl0_40), 10.20/1.66 inference(avatar_contradiction_clause,[],[f2890])). 10.20/1.66 tff(f2900,plain,( 10.20/1.66 ($false = $true) | (j @ sK11 @ (sK13 @ sK3 @ sK11) = $false) | (~spl0_11 | ~spl0_18)), 10.20/1.66 inference(superposition,[],[f2356,f473])). 10.20/1.66 tff(f2901,plain,( 10.20/1.66 (j @ sK11 @ (sK13 @ sK3 @ sK11) = $false) | (~spl0_11 | ~spl0_18)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2900])). 10.20/1.66 tff(f2907,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (i @ X0 @ sK11 = $false) | (sK3 @ (sK12 @ X1 @ sK3) = $true) | (k @ X0 @ X1 = $false)) ) | (~spl0_11 | ~spl0_18 | ~spl0_24)), 10.20/1.66 inference(superposition,[],[f606,f2901])). 10.20/1.66 tff(f2908,plain,( 10.20/1.66 ( ! [X0,X1] : ((i @ X0 @ sK11 = $false) | (sK3 @ (sK12 @ X1 @ sK3) = $true) | (k @ X0 @ X1 = $false)) ) | (~spl0_11 | ~spl0_18 | ~spl0_24)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2907])). 10.20/1.66 tff(f2934,plain,( 10.20/1.66 spl0_101 <=> (sK3 @ (sK12 @ sK10 @ sK3) != $true)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_101])])). 10.20/1.66 tff(f2935,plain,( 10.20/1.66 (sK3 @ (sK12 @ sK10 @ sK3) != $true) | ~spl0_101), 10.20/1.66 inference(avatar_component_clause,[],[f2934])). 10.20/1.66 tff(f2937,plain,( 10.20/1.66 spl0_100 <=> (sK3 @ (sK12 @ sK10 @ sK3) = $true)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_100])])). 10.20/1.66 tff(f2938,plain,( 10.20/1.66 (sK3 @ (sK12 @ sK10 @ sK3) = $true) | ~spl0_100), 10.20/1.66 inference(avatar_component_clause,[],[f2937])). 10.20/1.66 tff(f2946,plain,( 10.20/1.66 ($true != $true) | (sK3 @ (sK12 @ sK10 @ sK3) = $false) | ~spl0_101), 10.20/1.66 inference(fool_paramodulation,[],[f2935])). 10.20/1.66 tff(f2954,plain,( 10.20/1.66 (sK3 @ (sK12 @ sK10 @ sK3) = $false) | ~spl0_101), 10.20/1.66 inference(trivial_inequality_removal,[],[f2946])). 10.20/1.66 tff(f2982,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (sK3 @ (sK12 @ X0 @ sK3) = $true) | (k @ sK1 @ X0 = $false)) ) | (~spl0_11 | ~spl0_18 | ~spl0_24)), 10.20/1.66 inference(superposition,[],[f327,f2908])). 10.20/1.66 tff(f2983,plain,( 10.20/1.66 ( ! [X0] : ((sK3 @ (sK12 @ X0 @ sK3) = $true) | (k @ sK1 @ X0 = $false)) ) | (~spl0_11 | ~spl0_18 | ~spl0_24)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2982])). 10.20/1.66 tff(f2988,plain,( 10.20/1.66 ($false = $true) | (k @ sK1 @ sK10 = $false) | (~spl0_11 | ~spl0_18 | ~spl0_24 | ~spl0_101)), 10.20/1.66 inference(superposition,[],[f2954,f2983])). 10.20/1.66 tff(f2989,plain,( 10.20/1.66 (k @ sK1 @ sK10 = $false) | (~spl0_11 | ~spl0_18 | ~spl0_24 | ~spl0_101)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2988])). 10.20/1.66 tff(f2994,plain,( 10.20/1.66 $false | (~spl0_11 | ~spl0_18 | ~spl0_24 | ~spl0_67 | ~spl0_101)), 10.20/1.66 inference(subsumption_resolution,[],[f2989,f1496])). 10.20/1.66 tff(f2995,plain,( 10.20/1.66 spl0_11 | ~spl0_18 | ~spl0_24 | spl0_67 | spl0_101), 10.20/1.66 inference(avatar_contradiction_clause,[],[f2994])). 10.20/1.66 tff(f2996,plain,( 10.20/1.66 ($false = $true) | (~spl0_8 | ~spl0_66)), 10.20/1.66 inference(backward_demodulation,[],[f1499,f304])). 10.20/1.66 tff(f2997,plain,( 10.20/1.66 $false | (~spl0_8 | ~spl0_66)), 10.20/1.66 inference(trivial_inequality_removal,[],[f2996])). 10.20/1.66 tff(f2998,plain,( 10.20/1.66 ~spl0_8 | ~spl0_66), 10.20/1.66 inference(avatar_contradiction_clause,[],[f2997])). 10.20/1.66 tff(f3030,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (i @ sK1 @ X1 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true)) ) | (~spl0_8 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f304,f2631])). 10.20/1.66 tff(f3031,plain,( 10.20/1.66 ( ! [X1] : ((j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ sK1 @ X1 = $false)) ) | (~spl0_8 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3030])). 10.20/1.66 tff(f3043,plain,( 10.20/1.66 ($false = $true) | (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_11 | ~spl0_18 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(superposition,[],[f2901,f3031])). 10.20/1.66 tff(f3050,plain,( 10.20/1.66 (i @ sK1 @ sK11 = $false) | (~spl0_8 | ~spl0_11 | ~spl0_18 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3043])). 10.20/1.66 tff(f3069,plain,( 10.20/1.66 ($false = $true) | (~spl0_8 | ~spl0_11 | ~spl0_18 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(backward_demodulation,[],[f3050,f327])). 10.20/1.66 tff(f3070,plain,( 10.20/1.66 $false | (~spl0_8 | ~spl0_11 | ~spl0_18 | ~spl0_20 | ~spl0_54)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3069])). 10.20/1.66 tff(f3071,plain,( 10.20/1.66 ~spl0_8 | spl0_11 | ~spl0_18 | ~spl0_20 | ~spl0_54), 10.20/1.66 inference(avatar_contradiction_clause,[],[f3070])). 10.20/1.66 tff(f3087,plain,( 10.20/1.66 ($false = $true) | (~spl0_11 | ~spl0_21 | ~spl0_100)), 10.20/1.66 inference(backward_demodulation,[],[f2343,f2938])). 10.20/1.66 tff(f3104,plain,( 10.20/1.66 $false | (~spl0_11 | ~spl0_21 | ~spl0_100)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3087])). 10.20/1.66 tff(f3105,plain,( 10.20/1.66 spl0_11 | spl0_21 | ~spl0_100), 10.20/1.66 inference(avatar_contradiction_clause,[],[f3104])). 10.20/1.66 tff(f3318,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : (($false = $true) | (j @ X1 @ (sK13 @ X0 @ X1) = $true) | (i @ X2 @ X1 = $false) | (k @ X2 @ sK6 = $false) | (sK3 @ (sK12 @ sK6 @ X0) = $false)) ) | (~spl0_54 | ~spl0_82)), 10.20/1.66 inference(superposition,[],[f1027,f1924])). 10.20/1.66 tff(f3325,plain,( 10.20/1.66 ( ! [X2,X0:'$i' -> '$o',X1] : ((k @ X2 @ sK6 = $false) | (i @ X2 @ X1 = $false) | (j @ X1 @ (sK13 @ X0 @ X1) = $true) | (sK3 @ (sK12 @ sK6 @ X0) = $false)) ) | (~spl0_54 | ~spl0_82)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3318])). 10.20/1.66 tff(f3436,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (sK3 @ (sK13 @ sK3 @ sK7) = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false) | (i @ X1 @ X0 = $false) | (k @ X1 @ sK6 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82)), 10.20/1.66 inference(superposition,[],[f2582,f2041])). 10.20/1.66 tff(f3437,plain,( 10.20/1.66 ( ! [X0,X1] : ((sK3 @ (sK13 @ sK3 @ sK7) = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false) | (i @ X1 @ X0 = $false) | (k @ X1 @ sK6 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3436])). 10.20/1.66 tff(f3681,plain,( 10.20/1.66 ( ! [X0,X1:'$i' -> '$o'] : (($false = $true) | (i @ sK1 @ X0 = $false) | (j @ X0 @ (sK13 @ X1 @ X0) = $true) | (sK3 @ (sK12 @ sK6 @ X1) = $false)) ) | (~spl0_4 | ~spl0_54 | ~spl0_82)), 10.20/1.66 inference(superposition,[],[f289,f3325])). 10.20/1.66 tff(f3682,plain,( 10.20/1.66 ( ! [X0,X1:'$i' -> '$o'] : ((sK3 @ (sK12 @ sK6 @ X1) = $false) | (j @ X0 @ (sK13 @ X1 @ X0) = $true) | (i @ sK1 @ X0 = $false)) ) | (~spl0_4 | ~spl0_54 | ~spl0_82)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3681])). 10.20/1.66 tff(f3733,plain,( 10.20/1.66 spl0_135 <=> (sK3 @ (sK13 @ sK3 @ sK7) != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_135])])). 10.20/1.66 tff(f3734,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK7) != $false) | ~spl0_135), 10.20/1.66 inference(avatar_component_clause,[],[f3733])). 10.20/1.66 tff(f3736,plain,( 10.20/1.66 spl0_134 <=> (sK3 @ (sK13 @ sK3 @ sK7) = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_134])])). 10.20/1.66 tff(f3737,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK7) = $false) | ~spl0_134), 10.20/1.66 inference(avatar_component_clause,[],[f3736])). 10.20/1.66 tff(f3741,plain,( 10.20/1.66 ( ! [X0,X1] : (($false = $true) | (sK3 @ (sK12 @ X0 @ sK3) = $true) | (k @ X1 @ X0 = $false) | (i @ X1 @ sK7 = $false)) ) | (~spl0_24 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(superposition,[],[f1970,f3737])). 10.20/1.66 tff(f3742,plain,( 10.20/1.66 ( ! [X0,X1] : ((i @ X1 @ sK7 = $false) | (k @ X1 @ X0 = $false) | (sK3 @ (sK12 @ X0 @ sK3) = $true)) ) | (~spl0_24 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3741])). 10.20/1.66 tff(f3747,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (k @ sK1 @ X0 = $false) | (sK3 @ (sK12 @ X0 @ sK3) = $true)) ) | (~spl0_12 | ~spl0_24 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(superposition,[],[f321,f3742])). 10.20/1.66 tff(f3748,plain,( 10.20/1.66 ( ! [X0] : ((sK3 @ (sK12 @ X0 @ sK3) = $true) | (k @ sK1 @ X0 = $false)) ) | (~spl0_12 | ~spl0_24 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3747])). 10.20/1.66 tff(f3752,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (k @ sK1 @ sK6 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ sK1 @ X1 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(superposition,[],[f3748,f3682])). 10.20/1.66 tff(f3772,plain,( 10.20/1.66 ( ! [X1] : ((k @ sK1 @ sK6 = $false) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ sK1 @ X1 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3752])). 10.20/1.66 tff(f3773,plain,( 10.20/1.66 ( ! [X1] : (($false = $true) | (j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ sK1 @ X1 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(forward_demodulation,[],[f3772,f289])). 10.20/1.66 tff(f3774,plain,( 10.20/1.66 ( ! [X1] : ((j @ X1 @ (sK13 @ sK3 @ X1) = $true) | (i @ sK1 @ X1 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3773])). 10.20/1.66 tff(f3831,plain,( 10.20/1.66 spl0_139 <=> (i @ sK1 @ sK7 != $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_139])])). 10.20/1.66 tff(f3832,plain,( 10.20/1.66 (i @ sK1 @ sK7 != $false) | ~spl0_139), 10.20/1.66 inference(avatar_component_clause,[],[f3831])). 10.20/1.66 tff(f3834,plain,( 10.20/1.66 spl0_138 <=> (i @ sK1 @ sK7 = $false)), 10.20/1.66 introduced(avatar_definition,[new_symbols(naming,[spl0_138])])). 10.20/1.66 tff(f3835,plain,( 10.20/1.66 (i @ sK1 @ sK7 = $false) | ~spl0_138), 10.20/1.66 inference(avatar_component_clause,[],[f3834])). 10.20/1.66 tff(f3909,plain,( 10.20/1.66 ( ! [X0,X1] : ((k @ X1 @ sK6 = $false) | (i @ X1 @ X0 = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135)), 10.20/1.66 inference(subsumption_resolution,[],[f3437,f3734])). 10.20/1.66 tff(f3912,plain,( 10.20/1.66 ( ! [X0] : (($false = $true) | (i @ sK1 @ X0 = $false) | (sK3 @ (sK13 @ sK3 @ X0) = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135)), 10.20/1.66 inference(superposition,[],[f289,f3909])). 10.20/1.66 tff(f3913,plain,( 10.20/1.66 ( ! [X0] : ((sK3 @ (sK13 @ sK3 @ X0) = $false) | (i @ sK1 @ X0 = $false)) ) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3912])). 10.20/1.66 tff(f3921,plain,( 10.20/1.66 ($false != $false) | (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135)), 10.20/1.66 inference(superposition,[],[f3734,f3913])). 10.20/1.66 tff(f3926,plain,( 10.20/1.66 (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3921])). 10.20/1.66 tff(f3937,plain,( 10.20/1.66 $false | (~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | ~spl0_135 | ~spl0_139)), 10.20/1.66 inference(subsumption_resolution,[],[f3926,f3832])). 10.20/1.66 tff(f3938,plain,( 10.20/1.66 ~spl0_4 | ~spl0_12 | ~spl0_14 | ~spl0_40 | ~spl0_82 | spl0_135 | spl0_139), 10.20/1.66 inference(avatar_contradiction_clause,[],[f3937])). 10.20/1.66 tff(f3944,plain,( 10.20/1.66 ($false = $true) | (~spl0_12 | ~spl0_138)), 10.20/1.66 inference(backward_demodulation,[],[f3835,f321])). 10.20/1.66 tff(f3947,plain,( 10.20/1.66 $false | (~spl0_12 | ~spl0_138)), 10.20/1.66 inference(trivial_inequality_removal,[],[f3944])). 10.20/1.66 tff(f3948,plain,( 10.20/1.66 ~spl0_12 | ~spl0_138), 10.20/1.66 inference(avatar_contradiction_clause,[],[f3947])). 10.20/1.66 tff(f4076,plain,( 10.20/1.66 ($false = $true) | (sK3 @ (sK13 @ sK3 @ sK7) = $true) | (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(superposition,[],[f1941,f3774])). 10.20/1.66 tff(f4077,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK7) = $true) | (i @ sK1 @ sK7 = $false) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134)), 10.20/1.66 inference(trivial_inequality_removal,[],[f4076])). 10.20/1.66 tff(f4087,plain,( 10.20/1.66 (sK3 @ (sK13 @ sK3 @ sK7) = $true) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134 | ~spl0_139)), 10.20/1.66 inference(subsumption_resolution,[],[f4077,f3832])). 10.20/1.66 tff(f4088,plain,( 10.20/1.66 ($false = $true) | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134 | ~spl0_139)), 10.20/1.66 inference(forward_demodulation,[],[f4087,f3737])). 10.20/1.66 tff(f4089,plain,( 10.20/1.66 $false | (~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134 | ~spl0_139)), 10.20/1.66 inference(trivial_inequality_removal,[],[f4088])). 10.20/1.66 tff(f4090,plain,( 10.20/1.66 ~spl0_4 | ~spl0_12 | ~spl0_24 | ~spl0_54 | ~spl0_82 | ~spl0_84 | ~spl0_134 | spl0_139), 10.20/1.66 inference(avatar_contradiction_clause,[],[f4089])). 10.20/1.66 tff(f4091,plain,( 10.20/1.66 $false), 10.20/1.66 inference(avatar_sat_refutation,[],[f283,f293,f311,f322,f339,f480,f498,f607,f702,f739,f756,f912,f949,f1028,f1044,f1100,f1105,f1157,f1585,f1702,f1726,f1737,f1807,f1925,f1942,f2053,f2064,f2597,f2891,f2995,f2998,f3071,f3105,f3938,f3948,f4090])). 10.20/1.66 % SZS output end Proof for theBenchmark 10.20/1.66 % (24588)------------------------------ 10.20/1.66 % (24588)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.20/1.66 % (24588)Termination reason: Refutation 10.20/1.66 10.20/1.66 % (24588)Memory used [KB]: 8187 10.20/1.66 % (24588)Time elapsed: 1.013 s 10.20/1.66 % (24588)------------------------------ 10.20/1.66 % (24588)------------------------------ 10.20/1.67 % (24557)Success in time 1.34 s 10.20/1.67 EOF