0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d 0.11/0.33 % Computer : n022.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Thu Jul 2 08:01:48 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.36 % (9545)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 0.11/0.36 % (9544)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 0.18/0.37 % (9551)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 0.18/0.37 % (9547)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 0.18/0.37 % (9564)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 0.18/0.38 % (9542)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 0.18/0.38 % (9541)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 0.18/0.38 % (9561)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 0.18/0.38 % (9570)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 0.18/0.38 % (9556)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 0.18/0.38 % (9546)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 0.18/0.38 % (9549)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 0.18/0.38 % (9550)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.18/0.38 % (9560)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 0.18/0.38 % (9563)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 0.18/0.39 % (9555)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 0.18/0.39 % (9548)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 0.18/0.39 % (9565)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 0.18/0.39 % (9562)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 0.18/0.39 % (9566)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 0.18/0.39 % (9552)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 0.18/0.40 % (9543)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 0.18/0.40 % (9554)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 0.18/0.40 % (9557)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 0.18/0.40 % (9558)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 0.18/0.40 % (9569)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 0.18/0.40 % (9568)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 0.18/0.41 % (9559)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 0.18/0.41 % (9553)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 0.18/0.42 % (9567)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 0.18/0.46 % (9564)Refutation not found, incomplete strategy 0.18/0.46 % (9564)------------------------------ 0.18/0.46 % (9564)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.18/0.46 % (9564)Termination reason: Refutation not found, incomplete strategy 0.18/0.46 0.18/0.46 % (9564)Memory used [KB]: 10618 0.18/0.46 % (9564)Time elapsed: 0.108 s 0.18/0.46 % (9564)------------------------------ 0.18/0.46 % (9564)------------------------------ 0.18/0.52 % (9571)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 1.84/0.61 % (9543)Refutation not found, incomplete strategy 1.84/0.61 % (9543)------------------------------ 1.84/0.61 % (9543)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.84/0.63 % (9543)Termination reason: Refutation not found, incomplete strategy 1.84/0.63 1.84/0.63 % (9543)Memory used [KB]: 10490 1.84/0.63 % (9543)Time elapsed: 0.264 s 1.84/0.63 % (9543)------------------------------ 1.84/0.63 % (9543)------------------------------ 2.56/0.70 % (9551)Refutation not found, incomplete strategy 2.56/0.70 % (9551)------------------------------ 2.56/0.70 % (9551)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.56/0.70 % (9551)Termination reason: Refutation not found, incomplete strategy 2.56/0.70 2.56/0.70 % (9551)Memory used [KB]: 11385 2.56/0.70 % (9551)Time elapsed: 0.339 s 2.56/0.70 % (9551)------------------------------ 2.56/0.70 % (9551)------------------------------ 2.56/0.71 % (9572)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 2.94/0.74 % (9573)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 3.14/0.78 % (9555)Time limit reached! 3.14/0.78 % (9555)------------------------------ 3.14/0.78 % (9555)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.14/0.78 % (9555)Termination reason: Time limit 3.14/0.78 % (9555)Termination phase: Saturation 3.14/0.78 3.14/0.78 % (9555)Memory used [KB]: 6780 3.14/0.78 % (9555)Time elapsed: 0.400 s 3.14/0.78 % (9555)------------------------------ 3.14/0.78 % (9555)------------------------------ 3.72/0.84 % (9574)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 3.72/0.85 % (9552)Time limit reached! 3.72/0.85 % (9552)------------------------------ 3.72/0.85 % (9552)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.85 % (9552)Termination reason: Time limit 3.72/0.85 3.72/0.85 % (9552)Memory used [KB]: 11001 3.72/0.85 % (9552)Time elapsed: 0.504 s 3.72/0.85 % (9552)------------------------------ 3.72/0.85 % (9552)------------------------------ 3.72/0.86 % (9553)Time limit reached! 3.72/0.86 % (9553)------------------------------ 3.72/0.86 % (9553)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.86 % (9553)Termination reason: Time limit 3.72/0.86 3.72/0.86 % (9553)Memory used [KB]: 6908 3.72/0.86 % (9553)Time elapsed: 0.514 s 3.72/0.86 % (9553)------------------------------ 3.72/0.86 % (9553)------------------------------ 3.72/0.86 % (9542)Time limit reached! 3.72/0.86 % (9542)------------------------------ 3.72/0.86 % (9542)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.86 % (9542)Termination reason: Time limit 3.72/0.86 3.72/0.86 % (9542)Memory used [KB]: 10874 3.72/0.86 % (9542)Time elapsed: 0.513 s 3.72/0.86 % (9542)------------------------------ 3.72/0.86 % (9542)------------------------------ 3.72/0.87 % (9544)Time limit reached! 3.72/0.87 % (9544)------------------------------ 3.72/0.87 % (9544)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.87 % (9544)Termination reason: Time limit 3.72/0.87 3.72/0.87 % (9544)Memory used [KB]: 12281 3.72/0.87 % (9544)Time elapsed: 0.525 s 3.72/0.87 % (9544)------------------------------ 3.72/0.87 % (9544)------------------------------ 3.72/0.87 % (9541)Time limit reached! 3.72/0.87 % (9541)------------------------------ 3.72/0.87 % (9541)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.72/0.87 % (9541)Termination reason: Time limit 3.72/0.87 3.72/0.87 % (9541)Memory used [KB]: 2174 3.72/0.87 % (9541)Time elapsed: 0.524 s 3.72/0.87 % (9541)------------------------------ 3.72/0.87 % (9541)------------------------------ 4.10/0.89 % (9573)Refutation not found, incomplete strategy 4.10/0.89 % (9573)------------------------------ 4.10/0.89 % (9573)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.10/0.91 % (9577)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 4.10/0.91 % (9573)Termination reason: Refutation not found, incomplete strategy 4.10/0.91 4.10/0.91 % (9573)Memory used [KB]: 10490 4.10/0.91 % (9573)Time elapsed: 0.183 s 4.10/0.91 % (9573)------------------------------ 4.10/0.91 % (9573)------------------------------ 4.10/0.91 % (9576)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 4.10/0.92 % (9575)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 4.10/0.93 % (9579)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 4.10/0.94 % (9578)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 4.10/0.95 % (9550)Time limit reached! 4.10/0.95 % (9550)------------------------------ 4.10/0.95 % (9550)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.57/0.96 % (9580)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 4.57/0.96 % (9550)Termination reason: Time limit 4.57/0.96 4.57/0.96 % (9550)Memory used [KB]: 11769 4.57/0.96 % (9550)Time elapsed: 0.606 s 4.57/0.96 % (9550)------------------------------ 4.57/0.96 % (9550)------------------------------ 4.71/0.98 % (9547)Time limit reached! 4.71/0.98 % (9547)------------------------------ 4.71/0.98 % (9547)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.71/0.98 % (9547)Termination reason: Time limit 4.71/0.98 % (9547)Termination phase: Saturation 4.71/0.98 4.71/0.98 % (9547)Memory used [KB]: 13944 4.71/0.98 % (9547)Time elapsed: 0.600 s 4.71/0.98 % (9547)------------------------------ 4.71/0.98 % (9547)------------------------------ 4.71/1.01 % (9581)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 4.98/1.02 % (9579)Refutation not found, incomplete strategy 4.98/1.02 % (9579)------------------------------ 4.98/1.02 % (9579)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.98/1.02 % (9579)Termination reason: Refutation not found, incomplete strategy 4.98/1.02 4.98/1.02 % (9579)Memory used [KB]: 10618 4.98/1.02 % (9579)Time elapsed: 0.126 s 4.98/1.02 % (9579)------------------------------ 4.98/1.02 % (9579)------------------------------ 4.98/1.04 % (9574)Refutation not found, incomplete strategy 4.98/1.04 % (9574)------------------------------ 4.98/1.04 % (9574)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.98/1.04 % (9574)Termination reason: Refutation not found, incomplete strategy 4.98/1.04 4.98/1.04 % (9574)Memory used [KB]: 10490 4.98/1.04 % (9574)Time elapsed: 0.247 s 4.98/1.04 % (9574)------------------------------ 4.98/1.04 % (9574)------------------------------ 4.98/1.06 % (9582)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 4.98/1.07 % (9583)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark 5.75/1.11 % (9578)Refutation not found, incomplete strategy 5.75/1.11 % (9578)------------------------------ 5.75/1.11 % (9578)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.75/1.11 % (9578)Termination reason: Refutation not found, incomplete strategy 5.75/1.11 5.75/1.11 % (9578)Memory used [KB]: 10618 5.75/1.11 % (9578)Time elapsed: 0.232 s 5.75/1.11 % (9578)------------------------------ 5.75/1.11 % (9578)------------------------------ 5.75/1.12 % (9584)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 5.75/1.15 % (9582)Refutation not found, incomplete strategy 5.75/1.15 % (9582)------------------------------ 5.75/1.15 % (9582)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.75/1.15 % (9582)Termination reason: Refutation not found, incomplete strategy 5.75/1.15 5.75/1.15 % (9582)Memory used [KB]: 11257 5.75/1.15 % (9582)Time elapsed: 0.169 s 5.75/1.15 % (9582)------------------------------ 5.75/1.15 % (9582)------------------------------ 6.45/1.17 % (9585)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 6.83/1.25 % (9586)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 7.08/1.27 % (9559)Time limit reached! 7.08/1.27 % (9559)------------------------------ 7.08/1.27 % (9559)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.08/1.27 % (9559)Termination reason: Time limit 7.08/1.27 7.08/1.27 % (9559)Memory used [KB]: 8443 7.08/1.27 % (9559)Time elapsed: 0.924 s 7.08/1.27 % (9559)------------------------------ 7.08/1.27 % (9559)------------------------------ 7.08/1.33 % (9587)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 7.71/1.38 % (9556)Time limit reached! 7.71/1.38 % (9556)------------------------------ 7.71/1.38 % (9556)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.71/1.38 % (9556)Termination reason: Time limit 7.71/1.38 % (9556)Termination phase: Saturation 7.71/1.38 7.71/1.38 % (9556)Memory used [KB]: 12665 7.71/1.38 % (9556)Time elapsed: 1.0000 s 7.71/1.38 % (9556)------------------------------ 7.71/1.38 % (9556)------------------------------ 8.49/1.45 % (9563)Time limit reached! 8.49/1.45 % (9563)------------------------------ 8.49/1.45 % (9563)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.49/1.45 % (9563)Termination reason: Time limit 8.49/1.45 8.49/1.45 % (9563)Memory used [KB]: 8827 8.49/1.45 % (9563)Time elapsed: 1.105 s 8.49/1.45 % (9563)------------------------------ 8.49/1.45 % (9563)------------------------------ 8.49/1.45 % (9588)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 8.57/1.47 % (9560)Time limit reached! 8.57/1.47 % (9560)------------------------------ 8.57/1.47 % (9560)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.57/1.47 % (9560)Termination reason: Time limit 8.57/1.47 8.57/1.47 % (9560)Memory used [KB]: 8827 8.57/1.47 % (9560)Time elapsed: 1.125 s 8.57/1.47 % (9560)------------------------------ 8.57/1.47 % (9560)------------------------------ 8.57/1.47 % (9554)Time limit reached! 8.57/1.47 % (9554)------------------------------ 8.57/1.47 % (9554)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.57/1.47 % (9554)Termination reason: Time limit 8.57/1.47 8.57/1.47 % (9554)Memory used [KB]: 7931 8.57/1.47 % (9554)Time elapsed: 1.125 s 8.57/1.47 % (9554)------------------------------ 8.57/1.47 % (9554)------------------------------ 8.57/1.51 % (9589)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 8.90/1.54 % (9590)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark 9.15/1.55 % (9591)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark 9.65/1.64 % (9591)Refutation not found, incomplete strategy 9.65/1.64 % (9591)------------------------------ 9.65/1.64 % (9591)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.65/1.64 % (9591)Termination reason: Refutation not found, incomplete strategy 9.65/1.64 9.65/1.64 % (9591)Memory used [KB]: 10362 9.65/1.64 % (9591)Time elapsed: 0.151 s 9.65/1.64 % (9591)------------------------------ 9.65/1.64 % (9591)------------------------------ 9.65/1.69 % (9592)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 11.71/1.84 % (9545)Time limit reached! 11.71/1.84 % (9545)------------------------------ 11.71/1.84 % (9545)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.71/1.84 % (9545)Termination reason: Time limit 11.71/1.84 % (9545)Termination phase: Saturation 11.71/1.84 11.71/1.84 % (9545)Memory used [KB]: 9466 11.71/1.84 % (9545)Time elapsed: 1.500 s 11.71/1.84 % (9545)------------------------------ 11.71/1.84 % (9545)------------------------------ 11.71/1.85 % (9584)Time limit reached! 11.71/1.85 % (9584)------------------------------ 11.71/1.85 % (9584)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.71/1.85 % (9584)Termination reason: Time limit 11.71/1.85 % (9584)Termination phase: Saturation 11.71/1.85 11.71/1.85 % (9584)Memory used [KB]: 2302 11.71/1.85 % (9584)Time elapsed: 0.800 s 11.71/1.85 % (9584)------------------------------ 11.71/1.85 % (9584)------------------------------ 11.71/1.86 % (9566)Time limit reached! 11.71/1.86 % (9566)------------------------------ 11.71/1.86 % (9566)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.71/1.86 % (9566)Termination reason: Time limit 11.71/1.86 11.71/1.86 % (9566)Memory used [KB]: 9978 11.71/1.86 % (9566)Time elapsed: 1.515 s 11.71/1.86 % (9566)------------------------------ 11.71/1.86 % (9566)------------------------------ 11.71/1.90 % (9594)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 12.39/1.92 % (9593)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 12.39/1.94 % (9595)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 12.39/1.96 % (9546)Time limit reached! 12.39/1.96 % (9546)------------------------------ 12.39/1.96 % (9546)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 12.39/1.96 % (9546)Termination reason: Time limit 12.39/1.96 % (9546)Termination phase: Saturation 12.39/1.96 12.39/1.96 % (9546)Memory used [KB]: 16247 12.39/1.96 % (9546)Time elapsed: 1.600 s 12.39/1.96 % (9546)------------------------------ 12.39/1.96 % (9546)------------------------------ 12.85/2.02 % (9596)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 13.79/2.11 % (9581)Time limit reached! 13.79/2.11 % (9581)------------------------------ 13.79/2.11 % (9581)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.79/2.11 % (9581)Termination reason: Time limit 13.79/2.11 13.79/2.11 % (9581)Memory used [KB]: 9083 13.79/2.11 % (9581)Time elapsed: 1.117 s 13.79/2.11 % (9581)------------------------------ 13.79/2.11 % (9581)------------------------------ 13.92/2.19 % (9597)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_12 on theBenchmark 14.94/2.27 % (9580)Time limit reached! 14.94/2.27 % (9580)------------------------------ 14.94/2.27 % (9580)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.94/2.27 % (9580)Termination reason: Time limit 14.94/2.27 14.94/2.27 % (9580)Memory used [KB]: 14200 14.94/2.27 % (9580)Time elapsed: 1.350 s 14.94/2.27 % (9580)------------------------------ 14.94/2.27 % (9580)------------------------------ 15.54/2.35 % (9598)lrs+1011_8_add=large:csup=on:narr=off:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_10 on theBenchmark 15.54/2.37 % (9597)Refutation not found, incomplete strategy 15.54/2.37 % (9597)------------------------------ 15.54/2.37 % (9597)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.54/2.37 % (9597)Termination reason: Refutation not found, incomplete strategy 15.54/2.37 15.54/2.37 % (9597)Memory used [KB]: 10618 15.54/2.37 % (9597)Time elapsed: 0.247 s 15.54/2.37 % (9597)------------------------------ 15.54/2.37 % (9597)------------------------------ 16.21/2.47 % (9592)Time limit reached! 16.21/2.47 % (9592)------------------------------ 16.21/2.47 % (9592)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 16.21/2.47 % (9592)Termination reason: Time limit 16.21/2.47 16.21/2.47 % (9592)Memory used [KB]: 2686 16.21/2.47 % (9592)Time elapsed: 0.807 s 16.21/2.47 % (9592)------------------------------ 16.21/2.47 % (9592)------------------------------ 16.21/2.47 % (9599)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 17.07/2.52 % (9600)lrs+1011_8_add=large:csup=on:piset=all:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_31 on theBenchmark 17.07/2.57 % (9598)Refutation not found, incomplete strategy 17.07/2.57 % (9598)------------------------------ 17.07/2.57 % (9598)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.07/2.57 % (9598)Termination reason: Refutation not found, incomplete strategy 17.07/2.57 17.07/2.57 % (9598)Memory used [KB]: 10490 17.07/2.57 % (9598)Time elapsed: 0.294 s 17.07/2.57 % (9598)------------------------------ 17.07/2.57 % (9598)------------------------------ 17.86/2.62 % (9586)Time limit reached! 17.86/2.62 % (9586)------------------------------ 17.86/2.62 % (9586)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 17.86/2.62 % (9586)Termination reason: Time limit 17.86/2.62 17.86/2.62 % (9586)Memory used [KB]: 13304 17.86/2.62 % (9586)Time elapsed: 1.435 s 17.86/2.62 % (9586)------------------------------ 17.86/2.62 % (9586)------------------------------ 17.86/2.64 % (9601)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark 18.45/2.71 % (9600)Refutation not found, incomplete strategy 18.45/2.71 % (9600)------------------------------ 18.45/2.71 % (9600)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.45/2.71 % (9600)Termination reason: Refutation not found, incomplete strategy 18.45/2.71 18.45/2.71 % (9600)Memory used [KB]: 10490 18.45/2.71 % (9600)Time elapsed: 0.224 s 18.45/2.71 % (9600)------------------------------ 18.45/2.71 % (9600)------------------------------ 18.45/2.72 % (9602)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark 19.16/2.79 % (9603)lrs-11_4:1_afp=0:narr=sk:prag=on:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 22.20/3.17 % (9602)Time limit reached! 22.20/3.17 % (9602)------------------------------ 22.20/3.17 % (9602)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.20/3.18 % (9602)Termination reason: Time limit 22.20/3.18 22.20/3.18 % (9602)Memory used [KB]: 6652 22.20/3.18 % (9602)Time elapsed: 0.509 s 22.20/3.18 % (9602)------------------------------ 22.20/3.18 % (9602)------------------------------ 22.98/3.25 % (9604)dis+1002_6_add=large:csup=on:narr=sk:prag=on:mXXn=4:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_22 on theBenchmark 24.06/3.40 % (9595)Time limit reached! 24.06/3.40 % (9595)------------------------------ 24.06/3.40 % (9595)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.06/3.42 % (9595)Termination reason: Time limit 24.06/3.42 24.06/3.42 % (9595)Memory used [KB]: 7675 24.06/3.42 % (9595)Time elapsed: 1.524 s 24.06/3.42 % (9595)------------------------------ 24.06/3.42 % (9595)------------------------------ 24.48/3.47 % (9605)lrs-11_4:1_afp=0:fe=axiom:narr=sk:prag=on:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 24.86/3.49 % (9549)Time limit reached! 24.86/3.49 % (9549)------------------------------ 24.86/3.49 % (9549)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.86/3.49 % (9549)Termination reason: Time limit 24.86/3.49 24.86/3.49 % (9549)Memory used [KB]: 6908 24.86/3.49 % (9549)Time elapsed: 3.127 s 24.86/3.49 % (9549)------------------------------ 24.86/3.49 % (9549)------------------------------ 25.47/3.57 % (9606)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_300 on theBenchmark 25.47/3.58 % (9558)Time limit reached! 25.47/3.58 % (9558)------------------------------ 25.47/3.58 % (9558)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.47/3.59 % (9558)Termination reason: Time limit 25.47/3.59 25.47/3.59 % (9558)Memory used [KB]: 21236 25.47/3.59 % (9558)Time elapsed: 3.240 s 25.47/3.59 % (9558)------------------------------ 25.47/3.59 % (9558)------------------------------ 25.47/3.60 % (9562)Time limit reached! 25.47/3.60 % (9562)------------------------------ 25.47/3.60 % (9562)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.47/3.60 % (9562)Termination reason: Time limit 25.47/3.60 % (9562)Termination phase: Saturation 25.47/3.60 25.47/3.60 % (9562)Memory used [KB]: 26353 25.47/3.60 % (9562)Time elapsed: 3.200 s 25.47/3.60 % (9562)------------------------------ 25.47/3.60 % (9562)------------------------------ 25.85/3.65 % (9599)Time limit reached! 25.85/3.65 % (9599)------------------------------ 25.85/3.65 % (9599)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.85/3.65 % (9607)lrs+1011_10_aac=none:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 26.10/3.66 % (9599)Termination reason: Time limit 26.10/3.66 26.10/3.66 % (9599)Memory used [KB]: 6908 26.10/3.66 % (9599)Time elapsed: 1.252 s 26.10/3.66 % (9599)------------------------------ 26.10/3.66 % (9599)------------------------------ 26.10/3.67 % (9608)lrs+10_1:1_av=off:bsr=on:csup=on:fe=axiom:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_67 on theBenchmark 26.10/3.70 % (9596)Time limit reached! 26.10/3.70 % (9596)------------------------------ 26.10/3.70 % (9596)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.10/3.70 % (9596)Termination reason: Time limit 26.10/3.70 26.10/3.70 % (9596)Memory used [KB]: 9083 26.10/3.70 % (9596)Time elapsed: 1.714 s 26.10/3.70 % (9596)------------------------------ 26.10/3.70 % (9596)------------------------------ 26.10/3.71 % (9609)ott+11_2:1_add=large:narr=ski:prag=on:mXXn=4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 26.65/3.75 % (9572)Time limit reached! 26.65/3.75 % (9572)------------------------------ 26.65/3.75 % (9572)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.65/3.77 % (9575)Time limit reached! 26.65/3.77 % (9575)------------------------------ 26.65/3.77 % (9575)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.65/3.77 % (9572)Termination reason: Time limit 26.65/3.77 % (9572)Termination phase: Saturation 26.65/3.77 26.65/3.77 % (9572)Memory used [KB]: 12153 26.65/3.77 % (9572)Time elapsed: 3.100 s 26.65/3.77 % (9572)------------------------------ 26.65/3.77 % (9572)------------------------------ 26.96/3.79 % (9575)Termination reason: Time limit 26.96/3.79 26.96/3.79 % (9575)Memory used [KB]: 23411 26.96/3.79 % (9575)Time elapsed: 2.910 s 26.96/3.79 % (9575)------------------------------ 26.96/3.79 % (9575)------------------------------ 26.96/3.79 % (9610)ott+1002_8:1_add=off:csup=on:fe=axiom:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_15 on theBenchmark 26.96/3.84 % Exception at run slice level 26.96/3.84 User error: bad test id rs-11_4:1_afp=0:fe=axiom:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 27.38/3.85 % (9611)dis+1011_10_add=large:csup=on:narr=off:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_20 on theBenchmark 27.46/3.92 % (9613)lrs+1011_5_add=large:csup=on:fe=axiom:ntd=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_40 on theBenchmark 29.61/4.08 % (9548)Time limit reached! 29.61/4.08 % (9548)------------------------------ 29.61/4.08 % (9548)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.61/4.08 % (9548)Termination reason: Time limit 29.61/4.08 % (9548)Termination phase: Saturation 29.61/4.08 29.61/4.08 % (9548)Memory used [KB]: 4349 29.61/4.08 % (9548)Time elapsed: 3.724 s 29.61/4.08 % (9548)------------------------------ 29.61/4.08 % (9548)------------------------------ 29.93/4.16 % (9614)lrs+1002_1_av=off:csup=on:e2e=on:cs=on:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_150 on theBenchmark 35.57/4.84 % (9609)Time limit reached! 35.57/4.84 % (9609)------------------------------ 35.57/4.84 % (9609)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 35.57/4.84 % (9609)Termination reason: Time limit 35.57/4.84 35.57/4.84 % (9609)Memory used [KB]: 8699 35.57/4.84 % (9609)Time elapsed: 1.140 s 35.57/4.84 % (9609)------------------------------ 35.57/4.84 % (9609)------------------------------ 36.15/4.92 % (9615)ott+2_1:1_csup=on:afp=0:fe=axiom:narr=off:prag=on:cs=on_50 on theBenchmark 37.31/5.13 % (9593)Refutation found. Thanks to Tanya! 37.31/5.13 % SZS status Theorem for theBenchmark 37.67/5.13 % SZS output start Proof for theBenchmark 37.67/5.13 tff(func_def_0, type, mu: '$tType'). 37.67/5.13 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 37.67/5.13 tff(func_def_5, type, qmltpeq: mu -> mu -> '$i' -> '$o'). 37.67/5.13 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 37.67/5.13 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_10, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_11, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_12, type, mtrue: '$i' -> '$o'). 37.67/5.13 tff(func_def_13, type, mfalse: '$i' -> '$o'). 37.67/5.13 tff(func_def_14, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_15, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_16, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_17, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_18, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_19, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_20, type, exists_in_world: mu -> '$i' -> '$o'). 37.67/5.13 tff(func_def_21, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_22, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_23, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_24, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_25, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_26, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_27, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_28, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_29, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_30, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_31, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_32, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_33, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_34, type, mvalid: ('$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_37, type, minvalid: ('$i' -> '$o') -> '$o'). 37.67/5.13 tff(func_def_38, type, rel_s4: '$i' -> '$i' -> '$o'). 37.67/5.13 tff(func_def_39, type, mbox_s4: ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_40, type, mdia_s4: ('$i' -> '$o') -> '$i' -> '$o'). 37.67/5.13 tff(func_def_41, type, f: mu -> '$i' -> '$o'). 37.67/5.13 tff(func_def_42, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 37.67/5.13 tff(func_def_43, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 37.67/5.13 tff(func_def_46, type, vNOT: '$o' -> '$o'). 37.67/5.13 tff(func_def_47, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 37.67/5.13 tff(func_def_48, type, vAND: '$o' -> '$o' -> '$o'). 37.67/5.13 tff(func_def_49, type, vIMP: '$o' -> '$o' -> '$o'). 37.67/5.13 tff(func_def_50, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 37.67/5.13 tff(func_def_51, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 37.67/5.13 tff(func_def_52, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 37.67/5.13 tff(func_def_53, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 37.67/5.13 tff(func_def_54, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 37.67/5.13 tff(func_def_55, type, vOR: '$o' -> '$o' -> '$o'). 37.67/5.13 tff(func_def_56, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 37.67/5.13 tff(func_def_57, type, sK0: '$i' -> mu). 37.67/5.13 tff(func_def_63, type, sK6: mu). 37.67/5.13 tff(func_def_66, type, sK9: mu). 37.67/5.13 tff(func_def_67, type, sK10: '$i' -> mu -> '$i'). 37.67/5.13 tff(func_def_69, type, sK12: mu). 37.67/5.13 tff(func_def_70, type, sK13: '$i' -> mu -> '$i'). 37.67/5.13 tff(func_def_72, type, sK15: mu). 37.67/5.13 tff(func_def_73, type, sK16: '$i' -> mu -> '$i'). 37.67/5.13 tff(func_def_75, type, sK18: mu). 37.67/5.13 tff(func_def_76, type, sK19: '$i' -> mu -> '$i'). 37.67/5.13 tff(func_def_77, type, sK20: mu -> '$i' -> '$i'). 37.67/5.13 tff(func_def_79, type, sK22: mu). 37.67/5.13 tff(func_def_80, type, sK23: '$i' -> mu -> '$i'). 37.67/5.13 tff(func_def_82, type, sK25: mu). 37.67/5.13 tff(func_def_83, type, sK26: '$i' -> mu -> '$i'). 37.67/5.13 tff(f2,axiom,( 37.67/5.13 mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 37.67/5.13 tff(f3,axiom,( 37.67/5.13 mor = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 | X3 @ X2)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 37.67/5.13 tff(f8,axiom,( 37.67/5.13 mand = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)). 37.67/5.13 tff(f9,axiom,( 37.67/5.13 mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mor @ (mnot @ X3) @ X4)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 37.67/5.13 tff(f14,axiom,( 37.67/5.13 mforall_ind = (^[X3 : mu -> '$i' -> '$o', X2 : '$i'] : ! [X0 : mu] : (exists_in_world @ X0 @ X2 => X3 @ X0 @ X2))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)). 37.67/5.13 tff(f15,axiom,( 37.67/5.13 mexists_ind = (^[X3 : mu -> '$i' -> '$o'] : mnot @ (mforall_ind @ (^[X0 : mu] : mnot @ (X3 @ X0))))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)). 37.67/5.13 tff(f17,axiom,( 37.67/5.13 mreflexive = (^[X5 : '$i' -> '$i' -> '$o'] : ! [X8] : X5 @ X8 @ X8)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive)). 37.67/5.13 tff(f20,axiom,( 37.67/5.13 mtransitive = (^[X5 : '$i' -> '$i' -> '$o'] : ! [X8,X9,X10] : ((X5 @ X9 @ X10 & X5 @ X8 @ X9) => X5 @ X8 @ X10))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)). 37.67/5.13 tff(f27,axiom,( 37.67/5.13 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 37.67/5.13 tff(f32,axiom,( 37.67/5.13 mbox_s4 = (^[X3 : '$i' -> '$o', X2 : '$i'] : ! [X6] : (X3 @ X6 | ~rel_s4 @ X2 @ X6))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)). 37.67/5.13 tff(f34,axiom,( 37.67/5.13 mtransitive @ rel_s4), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2)). 37.67/5.13 tff(f35,axiom,( 37.67/5.13 mreflexive @ rel_s4), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1)). 37.67/5.13 tff(f36,axiom,( 37.67/5.13 ! [X0 : mu,X6,X2] : ((exists_in_world @ X0 @ X6 & rel_s4 @ X6 @ X2) => exists_in_world @ X0 @ X2)), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cumulative_ax)). 37.67/5.13 tff(f37,conjecture,( 37.67/5.13 mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : mbox_s4 @ (f @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X1)))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : mbox_s4 @ (f @ X0))))))))), 37.67/5.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish204)). 37.67/5.13 tff(f38,negated_conjecture,( 37.67/5.13 ~mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : mbox_s4 @ (f @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X1)))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : mbox_s4 @ (f @ X0))))))))), 37.67/5.13 inference(negated_conjecture,[],[f37])). 37.67/5.13 tff(f39,plain,( 37.67/5.13 ~mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : mbox_s4 @ (f @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X2)))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X3 : mu] : mbox_s4 @ (f @ X3))))))))), 37.67/5.13 inference(rectify,[],[f38])). 37.67/5.13 tff(f40,plain,( 37.67/5.13 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f)))) @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f))))))) = $true)), 37.67/5.13 inference(fool_elimination,[],[f39])). 37.67/5.14 tff(f74,plain,( 37.67/5.14 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 37.67/5.14 inference(rectify,[],[f27])). 37.67/5.14 tff(f75,plain,( 37.67/5.14 mvalid = vPI('$i')), 37.67/5.14 inference(fool_elimination,[],[f74])). 37.67/5.14 tff(f76,plain,( 37.67/5.14 mreflexive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1] : X0 @ X1 @ X1)), 37.67/5.14 inference(rectify,[],[f17])). 37.67/5.14 tff(f77,plain,( 37.67/5.14 bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive), 37.67/5.14 inference(fool_elimination,[],[f76])). 37.67/5.14 tff(f78,plain,( 37.67/5.14 mtransitive = (^[X0 : '$i' -> '$i' -> '$o'] : ! [X1,X2,X3] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3))), 37.67/5.14 inference(rectify,[],[f20])). 37.67/5.14 tff(f79,plain,( 37.67/5.14 bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = mtransitive), 37.67/5.14 inference(fool_elimination,[],[f78])). 37.67/5.14 tff(f88,plain,( 37.67/5.14 mor = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 | X0 @ X2)), 37.67/5.14 inference(rectify,[],[f3])). 37.67/5.14 tff(f89,plain,( 37.67/5.14 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 37.67/5.14 inference(fool_elimination,[],[f88])). 37.67/5.14 tff(f90,plain,( 37.67/5.14 mand = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))), 37.67/5.14 inference(rectify,[],[f8])). 37.67/5.14 tff(f91,plain,( 37.67/5.14 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand), 37.67/5.14 inference(fool_elimination,[],[f90])). 37.67/5.14 tff(f92,plain,( 37.67/5.14 mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mor @ (mnot @ X0) @ X1)), 37.67/5.14 inference(rectify,[],[f9])). 37.67/5.14 tff(f93,plain,( 37.67/5.14 bCOMB @ mor @ mnot = mimplies), 37.67/5.14 inference(fool_elimination,[],[f92])). 37.67/5.14 tff(f94,plain,( 37.67/5.14 mforall_ind = (^[X0 : mu -> '$i' -> '$o', X1 : '$i'] : ! [X2 : mu] : (exists_in_world @ X2 @ X1 => X0 @ X2 @ X1))), 37.67/5.14 inference(rectify,[],[f14])). 37.67/5.14 tff(f95,plain,( 37.67/5.14 bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) = mforall_ind), 37.67/5.14 inference(fool_elimination,[],[f94])). 37.67/5.14 tff(f96,plain,( 37.67/5.14 mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)), 37.67/5.14 inference(rectify,[],[f2])). 37.67/5.14 tff(f97,plain,( 37.67/5.14 bCOMB @ vNOT = mnot), 37.67/5.14 inference(fool_elimination,[],[f96])). 37.67/5.14 tff(f98,plain,( 37.67/5.14 mexists_ind = (^[X0 : mu -> '$i' -> '$o'] : mnot @ (mforall_ind @ (^[X1 : mu] : mnot @ (X0 @ X1))))), 37.67/5.14 inference(rectify,[],[f15])). 37.67/5.14 tff(f99,plain,( 37.67/5.14 bCOMB @ mnot @ (bCOMB @ mforall_ind @ (bCOMB @ mnot)) = mexists_ind), 37.67/5.14 inference(fool_elimination,[],[f98])). 37.67/5.14 tff(f100,plain,( 37.67/5.14 mbox_s4 = (^[X0 : '$i' -> '$o', X1 : '$i'] : ! [X2] : (X0 @ X2 | ~rel_s4 @ X1 @ X2))), 37.67/5.14 inference(rectify,[],[f32])). 37.67/5.14 tff(f101,plain,( 37.67/5.14 bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) = mbox_s4), 37.67/5.14 inference(fool_elimination,[],[f100])). 37.67/5.14 tff(f104,plain,( 37.67/5.14 ! [X0 : mu,X1,X2] : ((exists_in_world @ X0 @ X1 & rel_s4 @ X1 @ X2) => exists_in_world @ X0 @ X2)), 37.67/5.14 inference(rectify,[],[f36])). 37.67/5.14 tff(f105,plain,( 37.67/5.14 ! [X0 : mu,X1,X2] : (((exists_in_world @ X0 @ X1 = $true) & (rel_s4 @ X1 @ X2 = $true)) => (exists_in_world @ X0 @ X2 = $true))), 37.67/5.14 inference(fool_elimination,[],[f104])). 37.67/5.14 tff(f106,plain,( 37.67/5.14 mtransitive @ rel_s4), 37.67/5.14 inference(rectify,[],[f34])). 37.67/5.14 tff(f107,plain,( 37.67/5.14 (mtransitive @ rel_s4 = $true)), 37.67/5.14 inference(fool_elimination,[],[f106])). 37.67/5.14 tff(f108,plain,( 37.67/5.14 mreflexive @ rel_s4), 37.67/5.14 inference(rectify,[],[f35])). 37.67/5.14 tff(f109,plain,( 37.67/5.14 (mreflexive @ rel_s4 = $true)), 37.67/5.14 inference(fool_elimination,[],[f108])). 37.67/5.14 tff(f110,plain,( 37.67/5.14 (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f)))) @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f))))))) != $true)), 37.67/5.14 inference(flattening,[],[f40])). 37.67/5.14 tff(f111,plain,( 37.67/5.14 ! [X0 : mu,X1,X2] : ((exists_in_world @ X0 @ X2 = $true) | ((exists_in_world @ X0 @ X1 != $true) | (rel_s4 @ X1 @ X2 != $true)))), 37.67/5.14 inference(ennf_transformation,[],[f105])). 37.67/5.14 tff(f112,plain,( 37.67/5.14 ! [X0 : mu,X1,X2] : ((exists_in_world @ X0 @ X2 = $true) | (exists_in_world @ X0 @ X1 != $true) | (rel_s4 @ X1 @ X2 != $true))), 37.67/5.14 inference(flattening,[],[f111])). 37.67/5.14 tff(f115,plain,( 37.67/5.14 (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f)))) @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (bCOMB @ mbox_s4 @ (bCOMB @ mnot @ (bCOMB @ mbox_s4 @ f))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (bCOMB @ mbox_s4 @ f))))))) != $true)), 37.67/5.14 inference(cnf_transformation,[],[f110])). 37.67/5.14 tff(f134,plain,( 37.67/5.14 mvalid = vPI('$i')), 37.67/5.14 inference(cnf_transformation,[],[f75])). 37.67/5.14 tff(f135,plain,( 37.67/5.14 bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) = mreflexive), 37.67/5.14 inference(cnf_transformation,[],[f77])). 37.67/5.14 tff(f136,plain,( 37.67/5.14 bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) = mtransitive), 37.67/5.14 inference(cnf_transformation,[],[f79])). 37.67/5.14 tff(f141,plain,( 37.67/5.14 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 37.67/5.14 inference(cnf_transformation,[],[f89])). 37.67/5.14 tff(f142,plain,( 37.67/5.14 bCOMB @ (bCOMB @ mnot) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ mor @ mnot)) @ mnot) = mand), 37.67/5.14 inference(cnf_transformation,[],[f91])). 37.67/5.14 tff(f143,plain,( 37.67/5.14 bCOMB @ mor @ mnot = mimplies), 37.67/5.14 inference(cnf_transformation,[],[f93])). 37.67/5.14 tff(f144,plain,( 37.67/5.14 bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) = mforall_ind), 37.67/5.14 inference(cnf_transformation,[],[f95])). 37.67/5.14 tff(f145,plain,( 37.67/5.14 bCOMB @ vNOT = mnot), 37.67/5.14 inference(cnf_transformation,[],[f97])). 37.67/5.14 tff(f146,plain,( 37.67/5.14 bCOMB @ mnot @ (bCOMB @ mforall_ind @ (bCOMB @ mnot)) = mexists_ind), 37.67/5.14 inference(cnf_transformation,[],[f99])). 37.67/5.14 tff(f147,plain,( 37.67/5.14 bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) = mbox_s4), 37.67/5.14 inference(cnf_transformation,[],[f101])). 37.67/5.14 tff(f149,plain,( 37.67/5.14 ( ! [X2,X0:mu,X1] : ((exists_in_world @ X0 @ X2 = $true) | (exists_in_world @ X0 @ X1 != $true) | (rel_s4 @ X1 @ X2 != $true)) )), 37.67/5.14 inference(cnf_transformation,[],[f112])). 37.67/5.14 tff(f150,plain,( 37.67/5.14 (mtransitive @ rel_s4 = $true)), 37.67/5.14 inference(cnf_transformation,[],[f107])). 37.67/5.14 tff(f151,plain,( 37.67/5.14 (mreflexive @ rel_s4 = $true)), 37.67/5.14 inference(cnf_transformation,[],[f109])). 37.67/5.14 tff(f153,plain,( 37.67/5.14 bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)) = mand), 37.67/5.14 inference(definition_unfolding,[],[f142,f145,f141,f145,f145])). 37.67/5.14 tff(f154,plain,( 37.67/5.14 bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) = mimplies), 37.67/5.14 inference(definition_unfolding,[],[f143,f141,f145])). 37.67/5.14 tff(f159,plain,( 37.67/5.14 bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB)) @ (bCOMB @ (bCOMB @ vNOT))) = mexists_ind), 37.67/5.14 inference(definition_unfolding,[],[f146,f145,f144,f145])). 37.67/5.15 tff(f162,plain,( 37.67/5.15 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ vNOT @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB)) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ vNOT @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB)) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) != $true)), 37.67/5.15 inference(definition_unfolding,[],[f115,f134,f153,f147,f154,f147,f145,f159,f147,f147,f144,f147,f145,f147,f147,f154,f147,f144,f147,f145,f147,f147,f145,f159,f147])). 37.67/5.15 tff(f163,plain,( 37.67/5.15 (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ cCOMB)))) @ cCOMB))))) @ cCOMB))) @ rel_s4 = $true)), 37.67/5.15 inference(definition_unfolding,[],[f150,f136])). 37.67/5.15 tff(f164,plain,( 37.67/5.15 (bCOMB @ vPI('$i') @ (cCOMB @ sCOMB @ iCOMB) @ rel_s4 = $true)), 37.67/5.15 inference(definition_unfolding,[],[f151,f135])). 37.67/5.15 tff(f165,plain,( 37.67/5.15 (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s4)))) @ (cCOMB @ rel_s4))))) @ (cCOMB @ rel_s4)))) = $true)), 37.67/5.15 inference(combinator_demodulation,[],[f163])). 37.67/5.15 tff(f166,plain,( 37.67/5.15 ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s4)))) @ (cCOMB @ rel_s4))))) @ (cCOMB @ rel_s4))) @ X1 = $true)) )), 37.67/5.15 inference(pi_clausification,[],[f165])). 37.67/5.15 tff(f167,plain,( 37.67/5.15 ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s4))) @ (cCOMB @ rel_s4 @ X1)))) @ (cCOMB @ rel_s4 @ X1))) = $true)) )), 37.67/5.15 inference(combinator_demodulation,[],[f166])). 37.67/5.15 tff(f168,plain,( 37.67/5.15 ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ rel_s4))) @ (cCOMB @ rel_s4 @ X1)))) @ (cCOMB @ rel_s4 @ X1)) @ X2 = $true)) )), 37.67/5.15 inference(pi_clausification,[],[f167])). 37.67/5.15 tff(f169,plain,( 37.67/5.15 ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ rel_s4 @ X2)) @ (rel_s4 @ X2 @ X1))) @ (cCOMB @ rel_s4 @ X1)) = $true)) )), 37.67/5.15 inference(combinator_demodulation,[],[f168])). 37.67/5.15 tff(f170,plain,( 37.67/5.15 ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ vAND @ (cCOMB @ rel_s4 @ X2)) @ (rel_s4 @ X2 @ X1))) @ (cCOMB @ rel_s4 @ X1) @ X3 = $true)) )), 37.67/5.15 inference(pi_clausification,[],[f169])). 37.67/5.15 tff(f171,plain,( 37.67/5.15 ( ! [X2,X3,X1] : ((vIMP @ (vAND @ (rel_s4 @ X3 @ X2) @ (rel_s4 @ X2 @ X1)) @ (rel_s4 @ X3 @ X1) = $true)) )), 37.67/5.15 inference(combinator_demodulation,[],[f170])). 37.67/5.15 tff(f172,plain,( 37.67/5.15 ( ! [X2,X3,X1] : ((vAND @ (rel_s4 @ X3 @ X2) @ (rel_s4 @ X2 @ X1) = $false) | (rel_s4 @ X3 @ X1 = $true)) )), 37.67/5.15 inference(binary_proxy_clausification,[],[f171])). 37.67/5.15 tff(f173,plain,( 37.67/5.15 ( ! [X2,X3,X1] : ((rel_s4 @ X3 @ X2 = $false) | (rel_s4 @ X3 @ X1 = $true) | (rel_s4 @ X2 @ X1 = $false)) )), 37.67/5.15 inference(binary_proxy_clausification,[],[f172])). 37.67/5.15 tff(f174,plain,( 37.67/5.15 (vPI('$i') @ (sCOMB @ rel_s4 @ iCOMB) = $true)), 37.67/5.15 inference(combinator_demodulation,[],[f164])). 37.67/5.15 tff(f175,plain,( 37.67/5.15 ( ! [X1] : ((sCOMB @ rel_s4 @ iCOMB @ X1 = $true)) )), 37.67/5.15 inference(pi_clausification,[],[f174])). 37.67/5.15 tff(f176,plain,( 37.67/5.15 ( ! [X1] : ((rel_s4 @ X1 @ X1 = $true)) )), 37.67/5.15 inference(combinator_demodulation,[],[f175])). 37.67/5.16 tff(f177,plain,( 37.67/5.16 (bCOMB @ (bCOMB @ (bCOMB @ vNOT)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT))) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ vNOT @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB)) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4)))) @ (bCOMB @ vNOT @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI(mu)) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world)))) @ cCOMB)) @ (bCOMB @ (bCOMB @ vNOT))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ sK2 = $false)), 37.67/5.16 inference(sigma_clausification,[],[f162])). 37.67/5.16 tff(f178,plain,( 37.67/5.16 (vNOT @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))))))) = $false)), 37.67/5.16 inference(combinator_demodulation,[],[f177])). 37.67/5.16 tff(f179,plain,( 37.67/5.16 (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))))) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))))) = $true)), 37.67/5.16 inference(not_proxy_clausification,[],[f178])). 37.67/5.17 tff(f180,plain,( 37.67/5.17 (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))))) = $true)), 37.67/5.17 inference(binary_proxy_clausification,[],[f179])). 38.19/5.17 tff(f181,plain,( 38.19/5.17 (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) = $false)), 38.19/5.17 inference(not_proxy_clausification,[],[f180])). 38.19/5.17 tff(f182,plain,( 38.19/5.17 (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ sK3 = $false)), 38.19/5.17 inference(sigma_clausification,[],[f181])). 38.19/5.18 tff(f183,plain,( 38.19/5.18 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ sK3 = $false)), 38.19/5.18 inference(not_proxy_clausification,[],[f182])). 38.19/5.18 tff(f184,plain,( 38.19/5.18 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ sK4 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK2))) @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ sK3 = $false)), 38.19/5.18 inference(sigma_clausification,[],[f183])). 38.19/5.18 tff(f185,plain,( 38.19/5.18 (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK4)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.19/5.18 inference(combinator_demodulation,[],[f184])). 38.19/5.18 tff(f187,plain,( 38.19/5.18 (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.19/5.18 inference(binary_proxy_clausification,[],[f185])). 38.31/5.18 tff(f188,plain,( 38.31/5.18 (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.18 inference(binary_proxy_clausification,[],[f187])). 38.31/5.19 tff(f189,plain,( 38.31/5.19 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(binary_proxy_clausification,[],[f187])). 38.31/5.19 tff(f190,plain,( 38.31/5.19 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ sK5 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(sigma_clausification,[],[f189])). 38.31/5.19 tff(f191,plain,( 38.31/5.19 (vOR @ (vNOT @ (rel_s4 @ sK4 @ sK5)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK5)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ sK5))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(combinator_demodulation,[],[f190])). 38.31/5.19 tff(f192,plain,( 38.31/5.19 (vNOT @ (rel_s4 @ sK4 @ sK5) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(binary_proxy_clausification,[],[f191])). 38.31/5.19 tff(f193,plain,( 38.31/5.19 (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK5)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ sK5)) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(binary_proxy_clausification,[],[f191])). 38.31/5.19 tff(f194,plain,( 38.31/5.19 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK5)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ sK5) @ sK6 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.19 inference(sigma_clausification,[],[f193])). 38.31/5.20 tff(f195,plain,( 38.31/5.20 (vIMP @ (exists_in_world @ sK6 @ sK5) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ sK6)))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(combinator_demodulation,[],[f194])). 38.31/5.20 tff(f196,plain,( 38.31/5.20 (exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(binary_proxy_clausification,[],[f195])). 38.31/5.20 tff(f197,plain,( 38.31/5.20 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ sK6))))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(binary_proxy_clausification,[],[f195])). 38.31/5.20 tff(f198,plain,( 38.31/5.20 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK5))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ sK6)))) @ sK7 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(sigma_clausification,[],[f197])). 38.31/5.20 tff(f199,plain,( 38.31/5.20 (vOR @ (vNOT @ (rel_s4 @ sK5 @ sK7)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK7))) @ (f @ sK6)))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(combinator_demodulation,[],[f198])). 38.31/5.20 tff(f200,plain,( 38.31/5.20 (vNOT @ (rel_s4 @ sK5 @ sK7) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.20 inference(binary_proxy_clausification,[],[f199])). 38.31/5.21 tff(f201,plain,( 38.31/5.21 (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK7))) @ (f @ sK6))) = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.21 inference(binary_proxy_clausification,[],[f199])). 38.31/5.21 tff(f202,plain,( 38.31/5.21 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK7))) @ (f @ sK6)) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.31/5.21 inference(not_proxy_clausification,[],[f201])). 38.31/5.21 tff(f203,plain,( 38.31/5.21 ( ! [X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK7))) @ (f @ sK6) @ X1 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)) )), 38.31/5.21 inference(pi_clausification,[],[f202])). 38.31/5.21 % (9561)Time limit reached! 38.31/5.21 % (9561)------------------------------ 38.31/5.21 % (9561)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 38.31/5.21 % (9561)Termination reason: Time limit 38.31/5.21 % (9561)Termination phase: Saturation 38.31/5.21 38.31/5.21 % (9561)Memory used [KB]: 11769 38.31/5.21 % (9561)Time elapsed: 4.300 s 38.31/5.21 % (9561)------------------------------ 38.31/5.21 % (9561)------------------------------ 38.31/5.21 tff(f204,plain,( 38.31/5.21 ( ! [X1] : ((vOR @ (vNOT @ (rel_s4 @ sK7 @ X1)) @ (f @ sK6 @ X1) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)) )), 38.31/5.21 inference(combinator_demodulation,[],[f203])). 38.31/5.21 tff(f205,plain,( 38.31/5.21 ( ! [X1] : ((vNOT @ (rel_s4 @ sK7 @ X1) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.31/5.21 inference(binary_proxy_clausification,[],[f204])). 38.67/5.23 tff(f206,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f205])). 38.67/5.23 tff(f208,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f206])). 38.67/5.23 tff(f209,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f208])). 38.67/5.23 tff(f210,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f208])). 38.67/5.23 tff(f211,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ sK8 = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(sigma_clausification,[],[f210])). 38.67/5.23 tff(f212,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK8)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK8)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK8))))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f211])). 38.67/5.23 tff(f213,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK8)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK8)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK8))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(boolean_simplification,[],[f212])). 38.67/5.23 tff(f214,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ sK8) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f213])). 38.67/5.23 tff(f215,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK8)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK8)) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f213])). 38.67/5.23 tff(f216,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK8)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK8) @ sK9 = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(sigma_clausification,[],[f215])). 38.67/5.23 tff(f217,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vIMP @ (exists_in_world @ sK9 @ sK8) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK8))) @ (f @ sK9)))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f216])). 38.67/5.23 tff(f218,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (exists_in_world @ sK9 @ sK8 = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f217])). 38.67/5.23 tff(f219,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK8))) @ (f @ sK9))) = $false) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f217])). 38.67/5.23 tff(f220,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK8))) @ (f @ sK9)) = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f219])). 38.67/5.23 tff(f221,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK8))) @ (f @ sK9) @ X2 = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(pi_clausification,[],[f220])). 38.67/5.23 tff(f222,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK8 @ X2)) @ (f @ sK9 @ X2) = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f221])). 38.67/5.23 tff(f223,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (rel_s4 @ sK8 @ X2) = $true) | (f @ sK6 @ X1 = $true) | (f @ sK9 @ X2 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f222])). 38.67/5.23 tff(f224,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK8 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (f @ sK9 @ X2 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f223])). 38.67/5.23 tff(f225,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ sK8 = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f214])). 38.67/5.23 tff(f226,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f209])). 38.67/5.23 tff(f227,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ X2 = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(pi_clausification,[],[f226])). 38.67/5.23 tff(f228,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ X2)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X2)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X2))) = $true) | (f @ sK6 @ X1 = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f227])). 38.67/5.23 tff(f229,plain,( 38.67/5.23 ( ! [X2,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ X2) = $true) | (f @ sK6 @ X1 = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X2)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X2)) = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f228])). 38.67/5.23 tff(f230,plain,( 38.67/5.23 ( ! [X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ X2) = $true) | (f @ sK6 @ X1 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X2)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X2) @ X3 = $true)) )), 38.67/5.23 inference(pi_clausification,[],[f229])). 38.67/5.23 tff(f231,plain,( 38.67/5.23 ( ! [X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X2)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X2) @ X3 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f230])). 38.67/5.23 tff(f232,plain,( 38.67/5.23 ( ! [X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (vIMP @ (exists_in_world @ X3 @ X2) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X3)))))) = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f231])). 38.67/5.23 tff(f233,plain,( 38.67/5.23 ( ! [X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X3))))) = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f232])). 38.67/5.23 tff(f234,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X2))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X3)))) @ X4 = $true)) )), 38.67/5.23 inference(pi_clausification,[],[f233])). 38.67/5.23 tff(f235,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (vOR @ (vNOT @ (rel_s4 @ X2 @ X4)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X4))) @ (f @ X3)))) = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f234])). 38.67/5.23 tff(f236,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (vNOT @ (rel_s4 @ X2 @ X4) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X4))) @ (f @ X3))) = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f235])). 38.67/5.23 tff(f237,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (vNOT @ (rel_s4 @ X2 @ X4) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X4))) @ (f @ X3)) = $false)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f236])). 38.67/5.23 tff(f238,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (vNOT @ (rel_s4 @ X2 @ X4) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X4))) @ (f @ X3) @ (sK10 @ X4 @ X3) = $false)) )), 38.67/5.23 inference(sigma_clausification,[],[f237])). 38.67/5.23 tff(f239,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X4))) @ (f @ X3) @ (sK10 @ X4 @ X3) = $false)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f238])). 38.67/5.23 tff(f240,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (vOR @ (vNOT @ (rel_s4 @ X4 @ (sK10 @ X4 @ X3))) @ (f @ X3 @ (sK10 @ X4 @ X3)) = $false)) )), 38.67/5.23 inference(combinator_demodulation,[],[f239])). 38.67/5.23 tff(f241,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (vNOT @ (rel_s4 @ X4 @ (sK10 @ X4 @ X3)) = $false)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f240])). 38.67/5.23 tff(f242,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (f @ X3 @ (sK10 @ X4 @ X3) = $false)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f240])). 38.67/5.23 tff(f243,plain,( 38.67/5.23 ( ! [X4,X2,X3:mu,X1] : ((rel_s4 @ sK7 @ X1 = $false) | (rel_s4 @ sK3 @ X2 = $false) | (f @ sK6 @ X1 = $true) | (exists_in_world @ X3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (rel_s4 @ X4 @ (sK10 @ X4 @ X3) = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f241])). 38.67/5.23 tff(f245,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.67/5.23 inference(not_proxy_clausification,[],[f200])). 38.67/5.23 tff(f247,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f245])). 38.67/5.23 tff(f248,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f247])). 38.67/5.23 tff(f249,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f247])). 38.67/5.23 tff(f250,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ sK11 = $false)), 38.67/5.23 inference(sigma_clausification,[],[f249])). 38.67/5.23 tff(f251,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK11)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK11)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK11))))) = $false)), 38.67/5.23 inference(combinator_demodulation,[],[f250])). 38.67/5.23 tff(f252,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK11)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK11)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK11))) = $false)), 38.67/5.23 inference(boolean_simplification,[],[f251])). 38.67/5.23 tff(f253,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (rel_s4 @ sK3 @ sK11) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f252])). 38.67/5.23 tff(f254,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK11)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK11)) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f252])). 38.67/5.23 tff(f255,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK11)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK11) @ sK12 = $false)), 38.67/5.23 inference(sigma_clausification,[],[f254])). 38.67/5.23 tff(f256,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vIMP @ (exists_in_world @ sK12 @ sK11) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK11))) @ (f @ sK12)))) = $false)), 38.67/5.23 inference(combinator_demodulation,[],[f255])). 38.67/5.23 tff(f257,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (exists_in_world @ sK12 @ sK11 = $true)), 38.67/5.23 inference(binary_proxy_clausification,[],[f256])). 38.67/5.23 tff(f258,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK11))) @ (f @ sK12))) = $false)), 38.67/5.23 inference(binary_proxy_clausification,[],[f256])). 38.67/5.23 tff(f259,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK11))) @ (f @ sK12)) = $true)), 38.67/5.23 inference(not_proxy_clausification,[],[f258])). 38.67/5.23 tff(f260,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK11))) @ (f @ sK12) @ X1 = $true)) )), 38.67/5.23 inference(pi_clausification,[],[f259])). 38.67/5.23 tff(f261,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK11 @ X1)) @ (f @ sK12 @ X1) = $true)) )), 38.67/5.23 inference(combinator_demodulation,[],[f260])). 38.67/5.23 tff(f262,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (rel_s4 @ sK11 @ X1) = $true) | (f @ sK12 @ X1 = $true)) )), 38.67/5.23 inference(binary_proxy_clausification,[],[f261])). 38.67/5.23 tff(f263,plain,( 38.67/5.23 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK11 @ X1 = $false) | (f @ sK12 @ X1 = $true)) )), 38.67/5.23 inference(not_proxy_clausification,[],[f262])). 38.67/5.23 tff(f264,plain,( 38.67/5.23 (rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ sK11 = $true)), 38.67/5.23 inference(not_proxy_clausification,[],[f253])). 38.67/5.24 tff(f265,plain,( 38.67/5.24 (rel_s4 @ sK5 @ sK7 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $true)), 38.67/5.24 inference(not_proxy_clausification,[],[f248])). 38.67/5.24 tff(f266,plain,( 38.67/5.24 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ X1 = $true)) )), 38.67/5.24 inference(pi_clausification,[],[f265])). 38.67/5.24 tff(f267,plain,( 38.67/5.24 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ X1)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1))) = $true)) )), 38.67/5.24 inference(combinator_demodulation,[],[f266])). 38.67/5.24 tff(f268,plain,( 38.67/5.24 ( ! [X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1)) = $true)) )), 38.67/5.24 inference(binary_proxy_clausification,[],[f267])). 38.67/5.24 tff(f269,plain,( 38.67/5.24 ( ! [X2:mu,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.24 inference(pi_clausification,[],[f268])). 38.67/5.24 tff(f270,plain,( 38.67/5.24 ( ! [X2:mu,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.24 inference(not_proxy_clausification,[],[f269])). 38.67/5.24 tff(f271,plain,( 38.67/5.24 ( ! [X2:mu,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (vIMP @ (exists_in_world @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))))) = $true)) )), 38.67/5.24 inference(combinator_demodulation,[],[f270])). 38.67/5.24 tff(f272,plain,( 38.67/5.24 ( ! [X2:mu,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2))))) = $true)) )), 38.67/5.24 inference(binary_proxy_clausification,[],[f271])). 38.67/5.24 tff(f273,plain,( 38.67/5.24 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))) @ X3 = $true)) )), 38.67/5.24 inference(pi_clausification,[],[f272])). 38.67/5.25 tff(f274,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ X3)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)))) = $true)) )), 38.67/5.25 inference(combinator_demodulation,[],[f273])). 38.67/5.25 tff(f275,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2))) = $true)) )), 38.67/5.25 inference(binary_proxy_clausification,[],[f274])). 38.67/5.25 tff(f276,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)) = $false)) )), 38.67/5.25 inference(not_proxy_clausification,[],[f275])). 38.67/5.25 tff(f277,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK13 @ X3 @ X2) = $false)) )), 38.67/5.25 inference(sigma_clausification,[],[f276])). 38.67/5.25 tff(f278,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK13 @ X3 @ X2) = $false)) )), 38.67/5.25 inference(not_proxy_clausification,[],[f277])). 38.67/5.25 tff(f279,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (rel_s4 @ X3 @ (sK13 @ X3 @ X2))) @ (f @ X2 @ (sK13 @ X3 @ X2)) = $false)) )), 38.67/5.25 inference(combinator_demodulation,[],[f278])). 38.67/5.25 tff(f280,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ (sK13 @ X3 @ X2)) = $false)) )), 38.67/5.25 inference(binary_proxy_clausification,[],[f279])). 38.67/5.25 tff(f281,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (f @ X2 @ (sK13 @ X3 @ X2) = $false)) )), 38.67/5.25 inference(binary_proxy_clausification,[],[f279])). 38.67/5.25 tff(f282,plain,( 38.67/5.25 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK5 @ sK7 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK13 @ X3 @ X2) = $true)) )), 38.67/5.25 inference(not_proxy_clausification,[],[f280])). 38.67/5.25 tff(f285,plain,( 38.67/5.25 (exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false)), 38.67/5.25 inference(binary_proxy_clausification,[],[f196])). 38.67/5.26 tff(f286,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f285])). 38.67/5.26 tff(f287,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f285])). 38.67/5.26 tff(f288,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ sK14 = $false)), 38.67/5.26 inference(sigma_clausification,[],[f287])). 38.67/5.26 tff(f289,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK14)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK14)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK14))))) = $false)), 38.67/5.26 inference(combinator_demodulation,[],[f288])). 38.67/5.26 tff(f290,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK14)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK14)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK14))) = $false)), 38.67/5.26 inference(boolean_simplification,[],[f289])). 38.67/5.26 tff(f291,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ sK14) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f290])). 38.67/5.26 tff(f292,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK14)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK14)) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f290])). 38.67/5.26 tff(f293,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK14)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK14) @ sK15 = $false)), 38.67/5.26 inference(sigma_clausification,[],[f292])). 38.67/5.26 tff(f294,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vIMP @ (exists_in_world @ sK15 @ sK14) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK14))) @ (f @ sK15)))) = $false)), 38.67/5.26 inference(combinator_demodulation,[],[f293])). 38.67/5.26 tff(f295,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (exists_in_world @ sK15 @ sK14 = $true)), 38.67/5.26 inference(binary_proxy_clausification,[],[f294])). 38.67/5.26 tff(f296,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK14))) @ (f @ sK15))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f294])). 38.67/5.26 tff(f297,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK14))) @ (f @ sK15)) = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f296])). 38.67/5.26 tff(f298,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK14))) @ (f @ sK15) @ X1 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f297])). 38.67/5.26 tff(f299,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK14 @ X1)) @ (f @ sK15 @ X1) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f298])). 38.67/5.26 tff(f300,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK14 @ X1) = $true) | (f @ sK15 @ X1 = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f299])). 38.67/5.26 tff(f301,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK14 @ X1 = $false) | (f @ sK15 @ X1 = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f300])). 38.67/5.26 tff(f302,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ sK14 = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f291])). 38.67/5.26 tff(f303,plain,( 38.67/5.26 (exists_in_world @ sK6 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f286])). 38.67/5.26 tff(f304,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ X1 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f303])). 38.67/5.26 tff(f305,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ X1)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f304])). 38.67/5.26 tff(f306,plain,( 38.67/5.26 ( ! [X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1)) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f305])). 38.67/5.26 tff(f307,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f306])). 38.67/5.26 tff(f308,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f307])). 38.67/5.26 tff(f309,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (vIMP @ (exists_in_world @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f308])). 38.67/5.26 tff(f310,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2))))) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f309])). 38.67/5.26 tff(f311,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))) @ X3 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f310])). 38.67/5.26 tff(f312,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ X3)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f311])). 38.67/5.26 tff(f313,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2))) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f312])). 38.67/5.26 tff(f314,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)) = $false)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f313])). 38.67/5.26 tff(f315,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK16 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(sigma_clausification,[],[f314])). 38.67/5.26 tff(f316,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK16 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f315])). 38.67/5.26 tff(f317,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (rel_s4 @ X3 @ (sK16 @ X3 @ X2))) @ (f @ X2 @ (sK16 @ X3 @ X2)) = $false)) )), 38.67/5.26 inference(combinator_demodulation,[],[f316])). 38.67/5.26 tff(f318,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ (sK16 @ X3 @ X2)) = $false)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f317])). 38.67/5.26 tff(f319,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (f @ X2 @ (sK16 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f317])). 38.67/5.26 tff(f320,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((exists_in_world @ sK6 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK16 @ X3 @ X2) = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f318])). 38.67/5.26 tff(f322,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.67/5.26 inference(not_proxy_clausification,[],[f192])). 38.67/5.26 tff(f324,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f322])). 38.67/5.26 tff(f325,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f324])). 38.67/5.26 tff(f326,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f324])). 38.67/5.26 tff(f327,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ sK17 = $false)), 38.67/5.26 inference(sigma_clausification,[],[f326])). 38.67/5.26 tff(f328,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK17)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK17))))) = $false)), 38.67/5.26 inference(combinator_demodulation,[],[f327])). 38.67/5.26 tff(f329,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK17)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK17))) = $false)), 38.67/5.26 inference(boolean_simplification,[],[f328])). 38.67/5.26 tff(f330,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ sK17) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f329])). 38.67/5.26 tff(f331,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK17)) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f329])). 38.67/5.26 tff(f332,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK17)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK17) @ sK18 = $false)), 38.67/5.26 inference(sigma_clausification,[],[f331])). 38.67/5.26 tff(f333,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vIMP @ (exists_in_world @ sK18 @ sK17) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK17))) @ (f @ sK18)))) = $false)), 38.67/5.26 inference(combinator_demodulation,[],[f332])). 38.67/5.26 tff(f334,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (exists_in_world @ sK18 @ sK17 = $true)), 38.67/5.26 inference(binary_proxy_clausification,[],[f333])). 38.67/5.26 tff(f335,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK17))) @ (f @ sK18))) = $false)), 38.67/5.26 inference(binary_proxy_clausification,[],[f333])). 38.67/5.26 tff(f336,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK17))) @ (f @ sK18)) = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f335])). 38.67/5.26 tff(f337,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK17))) @ (f @ sK18) @ X1 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f336])). 38.67/5.26 % (9616)lrs+1011_2:1_av=off:fe=axiom:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_100 on theBenchmark 38.67/5.26 tff(f338,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK17 @ X1)) @ (f @ sK18 @ X1) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f337])). 38.67/5.26 tff(f339,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK17 @ X1) = $true) | (f @ sK18 @ X1 = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f338])). 38.67/5.26 tff(f340,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK17 @ X1 = $false) | (f @ sK18 @ X1 = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f339])). 38.67/5.26 tff(f341,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ sK17 = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f330])). 38.67/5.26 tff(f342,plain,( 38.67/5.26 (rel_s4 @ sK4 @ sK5 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $true)), 38.67/5.26 inference(not_proxy_clausification,[],[f325])). 38.67/5.26 tff(f343,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ X1 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f342])). 38.67/5.26 tff(f344,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ X1)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f343])). 38.67/5.26 tff(f345,plain,( 38.67/5.26 ( ! [X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1)) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f344])). 38.67/5.26 tff(f346,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (vNOT @ (rel_s4 @ sK3 @ X1) = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f345])). 38.67/5.26 tff(f347,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X1) @ X2 = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f346])). 38.67/5.26 tff(f348,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (vIMP @ (exists_in_world @ X2 @ X1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f347])). 38.67/5.26 tff(f349,plain,( 38.67/5.26 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2))))) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f348])). 38.67/5.26 tff(f350,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X2)))) @ X3 = $true)) )), 38.67/5.26 inference(pi_clausification,[],[f349])). 38.67/5.26 tff(f351,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ X3)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)))) = $true)) )), 38.67/5.26 inference(combinator_demodulation,[],[f350])). 38.67/5.26 tff(f352,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2))) = $true)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f351])). 38.67/5.26 tff(f353,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2)) = $false)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f352])). 38.67/5.26 tff(f354,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ X3) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK19 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(sigma_clausification,[],[f353])). 38.67/5.26 tff(f355,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (f @ X2) @ (sK19 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f354])). 38.67/5.26 tff(f356,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vOR @ (vNOT @ (rel_s4 @ X3 @ (sK19 @ X3 @ X2))) @ (f @ X2 @ (sK19 @ X3 @ X2)) = $false)) )), 38.67/5.26 inference(combinator_demodulation,[],[f355])). 38.67/5.26 tff(f357,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ (sK19 @ X3 @ X2)) = $false)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f356])). 38.67/5.26 tff(f358,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (f @ X2 @ (sK19 @ X3 @ X2) = $false)) )), 38.67/5.26 inference(binary_proxy_clausification,[],[f356])). 38.67/5.26 tff(f359,plain,( 38.67/5.26 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ sK5 = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK19 @ X3 @ X2) = $true)) )), 38.67/5.26 inference(not_proxy_clausification,[],[f357])). 38.67/5.27 tff(f361,plain,( 38.67/5.27 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)), 38.67/5.27 inference(not_proxy_clausification,[],[f188])). 38.67/5.27 tff(f362,plain,( 38.67/5.27 ( ! [X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK4))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ X1 = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)) )), 38.67/5.27 inference(pi_clausification,[],[f361])). 38.67/5.28 tff(f363,plain,( 38.67/5.28 ( ! [X1] : ((vOR @ (vNOT @ (rel_s4 @ sK4 @ X1)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ X1))))) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)) )), 38.67/5.28 inference(combinator_demodulation,[],[f362])). 38.67/5.28 tff(f364,plain,( 38.67/5.28 ( ! [X1] : ((vOR @ (vNOT @ (rel_s4 @ sK4 @ X1)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ X1))) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false)) )), 38.67/5.28 inference(boolean_simplification,[],[f363])). 38.67/5.28 tff(f365,plain,( 38.67/5.28 ( ! [X1] : ((vNOT @ (rel_s4 @ sK4 @ X1) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ X1)) = $true)) )), 38.67/5.28 inference(binary_proxy_clausification,[],[f364])). 38.67/5.28 tff(f366,plain,( 38.67/5.28 ( ! [X2:mu,X1] : ((vNOT @ (rel_s4 @ sK4 @ X1) = $true) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ X1) @ X2 = $true)) )), 38.67/5.28 inference(pi_clausification,[],[f365])). 38.67/5.29 tff(f367,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X1)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ X1) @ X2 = $true)) )), 38.67/5.29 inference(not_proxy_clausification,[],[f366])). 38.67/5.29 tff(f368,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (vIMP @ (exists_in_world @ X2 @ X1) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (f @ X2)))) = $true)) )), 38.67/5.29 inference(combinator_demodulation,[],[f367])). 38.67/5.29 tff(f369,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (f @ X2))) = $true)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f368])). 38.67/5.29 tff(f370,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (f @ X2)) = $false)) )), 38.67/5.29 inference(not_proxy_clausification,[],[f369])). 38.67/5.29 tff(f371,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X1))) @ (f @ X2) @ (sK20 @ X2 @ X1) = $false)) )), 38.67/5.29 inference(sigma_clausification,[],[f370])). 38.67/5.29 tff(f372,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK2 @ sK3)) @ (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(combinator_demodulation,[],[f371])). 38.67/5.29 tff(f374,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f372])). 38.67/5.29 tff(f375,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f374])). 38.67/5.29 tff(f376,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f374])). 38.67/5.29 tff(f377,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vNOT @ (bCOMB @ vNOT @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) @ sK21 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(sigma_clausification,[],[f376])). 38.67/5.29 tff(f378,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK21)) @ (vNOT @ (vNOT @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK21)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK21))))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(combinator_demodulation,[],[f377])). 38.67/5.29 tff(f379,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ sK21)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK21)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK21))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(boolean_simplification,[],[f378])). 38.67/5.29 tff(f380,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ sK21) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f379])). 38.67/5.29 tff(f381,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK21)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK21)) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f379])). 38.67/5.29 tff(f382,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ sK21)) @ (cCOMB @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)) @ sK21) @ sK22 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(sigma_clausification,[],[f381])). 38.67/5.29 tff(f383,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vIMP @ (exists_in_world @ sK22 @ sK21) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK21))) @ (f @ sK22)))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(combinator_demodulation,[],[f382])). 38.67/5.29 tff(f384,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ sK22 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f383])). 38.67/5.29 tff(f385,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK21))) @ (f @ sK22))) = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f383])). 38.67/5.29 tff(f386,plain,( 38.67/5.29 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK21))) @ (f @ sK22)) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(not_proxy_clausification,[],[f385])). 38.67/5.29 tff(f387,plain,( 38.67/5.29 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK21))) @ (f @ sK22) @ X3 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(pi_clausification,[],[f386])). 38.67/5.29 tff(f388,plain,( 38.67/5.29 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK21 @ X3)) @ (f @ sK22 @ X3) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.29 inference(combinator_demodulation,[],[f387])). 38.67/5.29 tff(f389,plain,( 38.67/5.29 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (rel_s4 @ sK21 @ X3) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (f @ sK22 @ X3 = $true)) )), 38.67/5.29 inference(binary_proxy_clausification,[],[f388])). 38.67/5.30 tff(f390,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK21 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (f @ sK22 @ X3 = $true)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f389])). 38.67/5.30 tff(f391,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK21 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1)) = $false) | (f @ sK22 @ X3 = $true)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f390])). 38.67/5.30 tff(f392,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK21 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (f @ sK22 @ X3 = $true)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f390])). 38.67/5.30 tff(f393,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK21 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (f @ sK22 @ X3 = $true)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f391])). 38.67/5.30 tff(f394,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ sK22 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f384])). 38.67/5.30 tff(f395,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ sK22 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f384])). 38.67/5.30 tff(f396,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ sK22 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f394])). 38.67/5.30 tff(f397,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f380])). 38.67/5.30 tff(f398,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f397])). 38.67/5.30 tff(f399,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f397])). 38.67/5.30 tff(f400,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ sK21 = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f398])). 38.67/5.30 tff(f401,plain,( 38.67/5.30 ( ! [X2:mu,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))))))) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(not_proxy_clausification,[],[f375])). 38.67/5.30 tff(f402,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ sK3))) @ (bCOMB @ vPI(mu) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ exists_in_world))) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f)))))) @ X3 = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(pi_clausification,[],[f401])). 38.67/5.30 tff(f403,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ sK3 @ X3)) @ (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X3)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X3))) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false)) )), 38.67/5.30 inference(combinator_demodulation,[],[f402])). 38.67/5.30 tff(f404,plain,( 38.67/5.30 ( ! [X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ X3) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (vPI(mu) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X3)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X3)) = $true)) )), 38.67/5.30 inference(binary_proxy_clausification,[],[f403])). 38.67/5.30 tff(f405,plain,( 38.67/5.30 ( ! [X4:mu,X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (vNOT @ (rel_s4 @ sK3 @ X3) = $true) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X3)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X3) @ X4 = $true)) )), 38.67/5.30 inference(pi_clausification,[],[f404])). 38.67/5.31 tff(f406,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ exists_in_world @ X3)) @ (cCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))))) @ f))) @ X3) @ X4 = $true)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f405])). 38.67/5.31 tff(f407,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (vIMP @ (exists_in_world @ X4 @ X3) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X4)))))) = $true)) )), 38.67/5.31 inference(combinator_demodulation,[],[f406])). 38.67/5.31 tff(f408,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X4))))) = $true)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f407])). 38.67/5.31 tff(f409,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X3))) @ (bCOMB @ vNOT @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ rel_s4))) @ (f @ X4)))) @ X5 = $true)) )), 38.67/5.31 inference(pi_clausification,[],[f408])). 38.67/5.31 tff(f410,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (vOR @ (vNOT @ (rel_s4 @ X3 @ X5)) @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X5))) @ (f @ X4)))) = $true)) )), 38.67/5.31 inference(combinator_demodulation,[],[f409])). 38.67/5.31 tff(f411,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ X5) = $true) | (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X5))) @ (f @ X4))) = $true)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f410])). 38.67/5.31 tff(f412,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ X5) = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X5))) @ (f @ X4)) = $false)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f411])). 38.67/5.31 tff(f413,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (vNOT @ (rel_s4 @ X3 @ X5) = $true) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X5))) @ (f @ X4) @ (sK23 @ X5 @ X4) = $false)) )), 38.67/5.31 inference(sigma_clausification,[],[f412])). 38.67/5.31 tff(f414,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (rel_s4 @ X5))) @ (f @ X4) @ (sK23 @ X5 @ X4) = $false)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f413])). 38.67/5.31 tff(f415,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vOR @ (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1))) @ (f @ X2 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vOR @ (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4))) @ (f @ X4 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(combinator_demodulation,[],[f414])). 38.67/5.31 tff(f416,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (vNOT @ (rel_s4 @ X1 @ (sK20 @ X2 @ X1)) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vOR @ (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4))) @ (f @ X4 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f415])). 38.67/5.31 tff(f417,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vOR @ (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4))) @ (f @ X4 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f415])). 38.67/5.31 tff(f418,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f417])). 38.67/5.31 tff(f419,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (f @ X4 @ (sK23 @ X5 @ X4) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f417])). 38.67/5.31 tff(f420,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (rel_s4 @ X5 @ (sK23 @ X5 @ X4) = $true)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f418])). 38.67/5.31 tff(f421,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vOR @ (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4))) @ (f @ X4 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f416])). 38.67/5.31 tff(f422,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (vNOT @ (rel_s4 @ X5 @ (sK23 @ X5 @ X4)) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f421])). 38.67/5.31 tff(f423,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (f @ X4 @ (sK23 @ X5 @ X4) = $false)) )), 38.67/5.31 inference(binary_proxy_clausification,[],[f421])). 38.67/5.31 tff(f424,plain,( 38.67/5.31 ( ! [X4:mu,X2:mu,X5,X3,X1] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ sK3 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X4 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (rel_s4 @ X5 @ (sK23 @ X5 @ X4) = $true)) )), 38.67/5.31 inference(not_proxy_clausification,[],[f422])). 38.67/5.31 tff(f487,plain,( 38.67/5.31 spl1_5 <=> (rel_s4 @ sK4 @ sK5 != $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 38.67/5.31 tff(f488,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK5 != $true) | ~spl1_5), 38.67/5.31 inference(avatar_component_clause,[],[f487])). 38.67/5.31 tff(f490,plain,( 38.67/5.31 spl1_4 <=> (rel_s4 @ sK4 @ sK5 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 38.67/5.31 tff(f491,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK5 = $true) | ~spl1_4), 38.67/5.31 inference(avatar_component_clause,[],[f490])). 38.67/5.31 tff(f502,plain,( 38.67/5.31 spl1_6 <=> (rel_s4 @ sK3 @ sK17 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 38.67/5.31 tff(f503,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK17 = $true) | ~spl1_6), 38.67/5.31 inference(avatar_component_clause,[],[f502])). 38.67/5.31 tff(f504,plain,( 38.67/5.31 spl1_6 | spl1_4), 38.67/5.31 inference(avatar_split_clause,[],[f341,f490,f502])). 38.67/5.31 tff(f525,plain,( 38.67/5.31 ($true != $true) | (rel_s4 @ sK4 @ sK5 = $false) | ~spl1_5), 38.67/5.31 inference(fool_paramodulation,[],[f488])). 38.67/5.31 tff(f528,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK5 = $false) | ~spl1_5), 38.67/5.31 inference(trivial_inequality_removal,[],[f525])). 38.67/5.31 tff(f534,plain,( 38.67/5.31 spl1_10 <=> (rel_s4 @ sK4 @ sK5 = $false)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 38.67/5.31 tff(f535,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK5 = $false) | ~spl1_10), 38.67/5.31 inference(avatar_component_clause,[],[f534])). 38.67/5.31 tff(f536,plain,( 38.67/5.31 spl1_10 | spl1_5), 38.67/5.31 inference(avatar_split_clause,[],[f528,f487,f534])). 38.67/5.31 tff(f541,plain,( 38.67/5.31 ( ! [X0] : (($false = $true) | (rel_s4 @ sK4 @ X0 = $true) | (rel_s4 @ sK5 @ X0 = $false)) ) | ~spl1_4), 38.67/5.31 inference(superposition,[],[f173,f491])). 38.67/5.31 tff(f542,plain,( 38.67/5.31 ( ! [X0] : ((rel_s4 @ sK5 @ X0 = $false) | (rel_s4 @ sK4 @ X0 = $true)) ) | ~spl1_4), 38.67/5.31 inference(trivial_inequality_removal,[],[f541])). 38.67/5.31 tff(f560,plain,( 38.67/5.31 spl1_12 <=> (rel_s4 @ sK3 @ sK14 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 38.67/5.31 tff(f561,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK14 = $true) | ~spl1_12), 38.67/5.31 inference(avatar_component_clause,[],[f560])). 38.67/5.31 tff(f563,plain,( 38.67/5.31 spl1_15 <=> (exists_in_world @ sK6 @ sK5 != $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])). 38.67/5.31 tff(f564,plain,( 38.67/5.31 (exists_in_world @ sK6 @ sK5 != $true) | ~spl1_15), 38.67/5.31 inference(avatar_component_clause,[],[f563])). 38.67/5.31 tff(f566,plain,( 38.67/5.31 spl1_14 <=> (exists_in_world @ sK6 @ sK5 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 38.67/5.31 tff(f568,plain,( 38.67/5.31 spl1_12 | spl1_14), 38.67/5.31 inference(avatar_split_clause,[],[f302,f566,f560])). 38.67/5.31 tff(f578,plain,( 38.67/5.31 spl1_16 <=> (rel_s4 @ sK3 @ sK11 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 38.67/5.31 tff(f579,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK11 = $true) | ~spl1_16), 38.67/5.31 inference(avatar_component_clause,[],[f578])). 38.67/5.31 tff(f581,plain,( 38.67/5.31 spl1_19 <=> (rel_s4 @ sK5 @ sK7 != $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])). 38.67/5.31 tff(f582,plain,( 38.67/5.31 (rel_s4 @ sK5 @ sK7 != $true) | ~spl1_19), 38.67/5.31 inference(avatar_component_clause,[],[f581])). 38.67/5.31 tff(f584,plain,( 38.67/5.31 spl1_18 <=> (rel_s4 @ sK5 @ sK7 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 38.67/5.31 tff(f585,plain,( 38.67/5.31 (rel_s4 @ sK5 @ sK7 = $true) | ~spl1_18), 38.67/5.31 inference(avatar_component_clause,[],[f584])). 38.67/5.31 tff(f586,plain,( 38.67/5.31 spl1_16 | spl1_18), 38.67/5.31 inference(avatar_split_clause,[],[f264,f584,f578])). 38.67/5.31 tff(f743,plain,( 38.67/5.31 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $true) | (~spl1_4 | ~spl1_18)), 38.67/5.31 inference(superposition,[],[f585,f542])). 38.67/5.31 tff(f744,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK7 = $true) | (~spl1_4 | ~spl1_18)), 38.67/5.31 inference(trivial_inequality_removal,[],[f743])). 38.67/5.31 tff(f752,plain,( 38.67/5.31 spl1_32 <=> (rel_s4 @ sK4 @ sK7 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_32])])). 38.67/5.31 tff(f753,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK7 = $true) | ~spl1_32), 38.67/5.31 inference(avatar_component_clause,[],[f752])). 38.67/5.31 tff(f754,plain,( 38.67/5.31 spl1_32 | ~spl1_4 | ~spl1_18), 38.67/5.31 inference(avatar_split_clause,[],[f744,f584,f490,f752])). 38.67/5.31 tff(f941,plain,( 38.67/5.31 spl1_38 <=> (rel_s4 @ sK4 @ sK7 = $false)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_38])])). 38.67/5.31 tff(f942,plain,( 38.67/5.31 (rel_s4 @ sK4 @ sK7 = $false) | ~spl1_38), 38.67/5.31 inference(avatar_component_clause,[],[f941])). 38.67/5.31 tff(f947,plain,( 38.67/5.31 spl1_40 <=> (exists_in_world @ sK6 @ sK7 = $false)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_40])])). 38.67/5.31 tff(f948,plain,( 38.67/5.31 (exists_in_world @ sK6 @ sK7 = $false) | ~spl1_40), 38.67/5.31 inference(avatar_component_clause,[],[f947])). 38.67/5.31 tff(f990,plain,( 38.67/5.31 ($false = $true) | (~spl1_32 | ~spl1_38)), 38.67/5.31 inference(backward_demodulation,[],[f942,f753])). 38.67/5.31 tff(f991,plain,( 38.67/5.31 $false | (~spl1_32 | ~spl1_38)), 38.67/5.31 inference(trivial_inequality_removal,[],[f990])). 38.67/5.31 tff(f992,plain,( 38.67/5.31 ~spl1_32 | ~spl1_38), 38.67/5.31 inference(avatar_contradiction_clause,[],[f991])). 38.67/5.31 tff(f1023,plain,( 38.67/5.31 ($false = $true) | (exists_in_world @ sK18 @ sK17 = $true) | ~spl1_10), 38.67/5.31 inference(forward_demodulation,[],[f334,f535])). 38.67/5.31 tff(f1024,plain,( 38.67/5.31 (exists_in_world @ sK18 @ sK17 = $true) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1023])). 38.67/5.31 tff(f1029,plain,( 38.67/5.31 spl1_44 <=> (exists_in_world @ sK18 @ sK17 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])). 38.67/5.31 tff(f1030,plain,( 38.67/5.31 (exists_in_world @ sK18 @ sK17 = $true) | ~spl1_44), 38.67/5.31 inference(avatar_component_clause,[],[f1029])). 38.67/5.31 tff(f1031,plain,( 38.67/5.31 spl1_44 | ~spl1_10), 38.67/5.31 inference(avatar_split_clause,[],[f1024,f534,f1029])). 38.67/5.31 tff(f1033,plain,( 38.67/5.31 ( ! [X1] : (($false = $true) | (rel_s4 @ sK17 @ X1 = $false) | (f @ sK18 @ X1 = $true)) ) | ~spl1_10), 38.67/5.31 inference(forward_demodulation,[],[f340,f535])). 38.67/5.31 tff(f1034,plain,( 38.67/5.31 ( ! [X1] : ((rel_s4 @ sK17 @ X1 = $false) | (f @ sK18 @ X1 = $true)) ) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1033])). 38.67/5.31 tff(f1052,plain,( 38.67/5.31 spl1_48 <=> (rel_s4 @ sK3 @ sK8 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_48])])). 38.67/5.31 tff(f1053,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK8 = $true) | ~spl1_48), 38.67/5.31 inference(avatar_component_clause,[],[f1052])). 38.67/5.31 tff(f1055,plain,( 38.67/5.31 spl1_50 <=> ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (f @ sK6 @ X1 = $true))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_50])])). 38.67/5.31 tff(f1056,plain,( 38.67/5.31 ( ! [X1] : ((rel_s4 @ sK7 @ X1 = $false) | (f @ sK6 @ X1 = $true)) ) | ~spl1_50), 38.67/5.31 inference(avatar_component_clause,[],[f1055])). 38.67/5.31 tff(f1057,plain,( 38.67/5.31 spl1_48 | spl1_50), 38.67/5.31 inference(avatar_split_clause,[],[f225,f1055,f1052])). 38.67/5.31 tff(f1062,plain,( 38.67/5.31 ( ! [X2:mu,X3,X1] : (($false = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (f @ X2 @ (sK19 @ X3 @ X2) = $false)) ) | ~spl1_10), 38.67/5.31 inference(forward_demodulation,[],[f358,f535])). 38.67/5.31 tff(f1063,plain,( 38.67/5.31 ( ! [X2:mu,X3,X1] : ((f @ X2 @ (sK19 @ X3 @ X2) = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1062])). 38.67/5.31 tff(f1065,plain,( 38.67/5.31 spl1_53 <=> (rel_s4 @ sK3 @ sK21 != $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_53])])). 38.67/5.31 tff(f1066,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK21 != $true) | ~spl1_53), 38.67/5.31 inference(avatar_component_clause,[],[f1065])). 38.67/5.31 tff(f1068,plain,( 38.67/5.31 spl1_52 <=> (rel_s4 @ sK3 @ sK21 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_52])])). 38.67/5.31 tff(f1069,plain,( 38.67/5.31 (rel_s4 @ sK3 @ sK21 = $true) | ~spl1_52), 38.67/5.31 inference(avatar_component_clause,[],[f1068])). 38.67/5.31 tff(f1071,plain,( 38.67/5.31 spl1_54 <=> ! [X1,X2 : mu] : ((rel_s4 @ sK4 @ X1 = $false) | (f @ X2 @ (sK20 @ X2 @ X1) = $false) | (exists_in_world @ X2 @ X1 = $false))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_54])])). 38.67/5.31 tff(f1072,plain,( 38.67/5.31 ( ! [X2:mu,X1] : ((f @ X2 @ (sK20 @ X2 @ X1) = $false) | (rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false)) ) | ~spl1_54), 38.67/5.31 inference(avatar_component_clause,[],[f1071])). 38.67/5.31 tff(f1073,plain,( 38.67/5.31 spl1_52 | spl1_54), 38.67/5.31 inference(avatar_split_clause,[],[f399,f1071,f1068])). 38.67/5.31 tff(f1104,plain,( 38.67/5.31 spl1_59 <=> (exists_in_world @ sK22 @ sK21 != $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_59])])). 38.67/5.31 tff(f1105,plain,( 38.67/5.31 (exists_in_world @ sK22 @ sK21 != $true) | ~spl1_59), 38.67/5.31 inference(avatar_component_clause,[],[f1104])). 38.67/5.31 tff(f1107,plain,( 38.67/5.31 spl1_58 <=> (exists_in_world @ sK22 @ sK21 = $true)), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_58])])). 38.67/5.31 tff(f1108,plain,( 38.67/5.31 (exists_in_world @ sK22 @ sK21 = $true) | ~spl1_58), 38.67/5.31 inference(avatar_component_clause,[],[f1107])). 38.67/5.31 tff(f1109,plain,( 38.67/5.31 spl1_58 | spl1_54), 38.67/5.31 inference(avatar_split_clause,[],[f395,f1071,f1107])). 38.67/5.31 tff(f1111,plain,( 38.67/5.31 ( ! [X2:mu,X3,X1] : (($false = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK19 @ X3 @ X2) = $true)) ) | ~spl1_10), 38.67/5.31 inference(forward_demodulation,[],[f359,f535])). 38.67/5.31 tff(f1112,plain,( 38.67/5.31 ( ! [X2:mu,X3,X1] : ((rel_s4 @ X3 @ (sK19 @ X3 @ X2) = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1111])). 38.67/5.31 tff(f1136,plain,( 38.67/5.31 ( ! [X17,X16:mu] : (($false = $true) | (f @ sK18 @ (sK19 @ sK17 @ X16) = $true) | (exists_in_world @ X16 @ X17 = $false) | (rel_s4 @ X17 @ sK17 = $false) | (rel_s4 @ sK3 @ X17 = $false)) ) | ~spl1_10), 38.67/5.31 inference(superposition,[],[f1034,f1112])). 38.67/5.31 tff(f1148,plain,( 38.67/5.31 ( ! [X17,X16:mu] : ((f @ sK18 @ (sK19 @ sK17 @ X16) = $true) | (exists_in_world @ X16 @ X17 = $false) | (rel_s4 @ X17 @ sK17 = $false) | (rel_s4 @ sK3 @ X17 = $false)) ) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1136])). 38.67/5.31 tff(f1173,plain,( 38.67/5.31 ( ! [X0,X1] : (($false = $true) | (exists_in_world @ sK18 @ X0 = $false) | (rel_s4 @ X0 @ sK17 = $false) | (rel_s4 @ sK3 @ X0 = $false) | (exists_in_world @ sK18 @ X1 = $false) | (rel_s4 @ X1 @ sK17 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_10), 38.67/5.31 inference(superposition,[],[f1063,f1148])). 38.67/5.31 tff(f1174,plain,( 38.67/5.31 ( ! [X0,X1] : ((exists_in_world @ sK18 @ X0 = $false) | (rel_s4 @ X0 @ sK17 = $false) | (rel_s4 @ sK3 @ X0 = $false) | (exists_in_world @ sK18 @ X1 = $false) | (rel_s4 @ X1 @ sK17 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_10), 38.67/5.31 inference(trivial_inequality_removal,[],[f1173])). 38.67/5.31 tff(f1266,plain,( 38.67/5.31 spl1_60 <=> ! [X3] : ((rel_s4 @ sK21 @ X3 = $false) | (f @ sK22 @ X3 = $true))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_60])])). 38.67/5.31 tff(f1267,plain,( 38.67/5.31 ( ! [X3] : ((rel_s4 @ sK21 @ X3 = $false) | (f @ sK22 @ X3 = $true)) ) | ~spl1_60), 38.67/5.31 inference(avatar_component_clause,[],[f1266])). 38.67/5.31 tff(f1268,plain,( 38.67/5.31 spl1_60 | spl1_54), 38.67/5.31 inference(avatar_split_clause,[],[f392,f1071,f1266])). 38.67/5.31 tff(f1270,plain,( 38.67/5.31 spl1_62 <=> ! [X1,X2 : mu] : ((rel_s4 @ sK4 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X2 @ X1 = $false))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_62])])). 38.67/5.31 tff(f1271,plain,( 38.67/5.31 ( ! [X2:mu,X1] : ((rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false)) ) | ~spl1_62), 38.67/5.31 inference(avatar_component_clause,[],[f1270])). 38.67/5.31 tff(f1272,plain,( 38.67/5.31 spl1_60 | spl1_62), 38.67/5.31 inference(avatar_split_clause,[],[f393,f1270,f1266])). 38.67/5.31 tff(f1356,plain,( 38.67/5.31 spl1_66 <=> ! [X3,X5,X4 : mu] : ((rel_s4 @ sK3 @ X3 = $false) | (f @ X4 @ (sK23 @ X5 @ X4) = $false) | (rel_s4 @ X3 @ X5 = $false) | (exists_in_world @ X4 @ X3 = $false))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_66])])). 38.67/5.31 tff(f1357,plain,( 38.67/5.31 ( ! [X4:mu,X5,X3] : ((f @ X4 @ (sK23 @ X5 @ X4) = $false) | (rel_s4 @ sK3 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (exists_in_world @ X4 @ X3 = $false)) ) | ~spl1_66), 38.67/5.31 inference(avatar_component_clause,[],[f1356])). 38.67/5.31 tff(f1358,plain,( 38.67/5.31 spl1_66 | spl1_62), 38.67/5.31 inference(avatar_split_clause,[],[f423,f1270,f1356])). 38.67/5.31 tff(f1390,plain,( 38.67/5.31 spl1_68 <=> ! [X3,X5,X4 : mu] : ((rel_s4 @ sK3 @ X3 = $false) | (rel_s4 @ X5 @ (sK23 @ X5 @ X4) = $true) | (rel_s4 @ X3 @ X5 = $false) | (exists_in_world @ X4 @ X3 = $false))), 38.67/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_68])])). 38.67/5.31 tff(f1391,plain,( 38.67/5.31 ( ! [X4:mu,X5,X3] : ((rel_s4 @ X5 @ (sK23 @ X5 @ X4) = $true) | (rel_s4 @ sK3 @ X3 = $false) | (rel_s4 @ X3 @ X5 = $false) | (exists_in_world @ X4 @ X3 = $false)) ) | ~spl1_68), 38.67/5.31 inference(avatar_component_clause,[],[f1390])). 38.67/5.31 tff(f1392,plain,( 38.67/5.31 spl1_68 | spl1_62), 38.67/5.31 inference(avatar_split_clause,[],[f424,f1270,f1390])). 38.67/5.31 tff(f1608,plain,( 38.67/5.31 ( ! [X23,X22:mu] : (($false = $true) | (f @ sK22 @ (sK23 @ sK21 @ X22) = $true) | (rel_s4 @ sK3 @ X23 = $false) | (rel_s4 @ X23 @ sK21 = $false) | (exists_in_world @ X22 @ X23 = $false)) ) | (~spl1_60 | ~spl1_68)), 38.67/5.31 inference(superposition,[],[f1267,f1391])). 38.67/5.31 tff(f1640,plain,( 38.67/5.31 ( ! [X23,X22:mu] : ((f @ sK22 @ (sK23 @ sK21 @ X22) = $true) | (rel_s4 @ sK3 @ X23 = $false) | (rel_s4 @ X23 @ sK21 = $false) | (exists_in_world @ X22 @ X23 = $false)) ) | (~spl1_60 | ~spl1_68)), 38.67/5.31 inference(trivial_inequality_removal,[],[f1608])). 38.67/5.31 tff(f1740,plain,( 38.67/5.31 ( ! [X0,X1] : (($false = $true) | (rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK21 = $false) | (exists_in_world @ sK22 @ X0 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ sK21 = $false) | (exists_in_world @ sK22 @ X1 = $false)) ) | (~spl1_60 | ~spl1_66 | ~spl1_68)), 38.67/5.31 inference(superposition,[],[f1357,f1640])). 38.67/5.31 tff(f1741,plain,( 38.67/5.31 ( ! [X0,X1] : ((rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK21 = $false) | (exists_in_world @ sK22 @ X0 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ sK21 = $false) | (exists_in_world @ sK22 @ X1 = $false)) ) | (~spl1_60 | ~spl1_66 | ~spl1_68)), 38.67/5.31 inference(trivial_inequality_removal,[],[f1740])). 39.35/5.31 tff(f2471,plain,( 39.35/5.31 spl1_80 <=> ! [X1] : ((exists_in_world @ sK18 @ X1 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ sK17 = $false))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_80])])). 39.35/5.31 tff(f2472,plain,( 39.35/5.31 ( ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK18 @ X1 = $false) | (rel_s4 @ X1 @ sK17 = $false)) ) | ~spl1_80), 39.35/5.31 inference(avatar_component_clause,[],[f2471])). 39.35/5.31 tff(f2473,plain,( 39.35/5.31 spl1_80 | spl1_80 | ~spl1_10), 39.35/5.31 inference(avatar_split_clause,[],[f1174,f534,f2471,f2471])). 39.35/5.31 tff(f2482,plain,( 39.35/5.31 ($false = $true) | (exists_in_world @ sK18 @ sK17 = $false) | (rel_s4 @ sK17 @ sK17 = $false) | (~spl1_6 | ~spl1_80)), 39.35/5.31 inference(superposition,[],[f2472,f503])). 39.35/5.31 tff(f2529,plain,( 39.35/5.31 (exists_in_world @ sK18 @ sK17 = $false) | (rel_s4 @ sK17 @ sK17 = $false) | (~spl1_6 | ~spl1_80)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2482])). 39.35/5.31 tff(f2538,plain,( 39.35/5.31 ($false = $true) | (rel_s4 @ sK17 @ sK17 = $false) | (~spl1_6 | ~spl1_44 | ~spl1_80)), 39.35/5.31 inference(forward_demodulation,[],[f2529,f1030])). 39.35/5.31 tff(f2539,plain,( 39.35/5.31 (rel_s4 @ sK17 @ sK17 = $false) | (~spl1_6 | ~spl1_44 | ~spl1_80)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2538])). 39.35/5.31 tff(f2546,plain,( 39.35/5.31 spl1_82 <=> (rel_s4 @ sK17 @ sK17 = $false)), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_82])])). 39.35/5.31 tff(f2547,plain,( 39.35/5.31 (rel_s4 @ sK17 @ sK17 = $false) | ~spl1_82), 39.35/5.31 inference(avatar_component_clause,[],[f2546])). 39.35/5.31 tff(f2548,plain,( 39.35/5.31 spl1_82 | ~spl1_6 | ~spl1_44 | ~spl1_80), 39.35/5.31 inference(avatar_split_clause,[],[f2539,f2471,f1029,f502,f2546])). 39.35/5.31 tff(f2549,plain,( 39.35/5.31 ($false = $true) | ~spl1_82), 39.35/5.31 inference(superposition,[],[f2547,f176])). 39.35/5.31 tff(f2553,plain,( 39.35/5.31 $false | ~spl1_82), 39.35/5.31 inference(trivial_inequality_removal,[],[f2549])). 39.35/5.31 tff(f2554,plain,( 39.35/5.31 ~spl1_82), 39.35/5.31 inference(avatar_contradiction_clause,[],[f2553])). 39.35/5.31 tff(f2686,plain,( 39.35/5.31 spl1_84 <=> ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK22 @ X1 = $false) | (rel_s4 @ X1 @ sK21 = $false))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_84])])). 39.35/5.31 tff(f2687,plain,( 39.35/5.31 ( ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK22 @ X1 = $false) | (rel_s4 @ X1 @ sK21 = $false)) ) | ~spl1_84), 39.35/5.31 inference(avatar_component_clause,[],[f2686])). 39.35/5.31 tff(f2688,plain,( 39.35/5.31 spl1_84 | spl1_84 | ~spl1_60 | ~spl1_66 | ~spl1_68), 39.35/5.31 inference(avatar_split_clause,[],[f1741,f1390,f1356,f1266,f2686,f2686])). 39.35/5.31 tff(f2695,plain,( 39.35/5.31 ($false = $true) | (exists_in_world @ sK22 @ sK21 = $false) | (rel_s4 @ sK21 @ sK21 = $false) | (~spl1_52 | ~spl1_84)), 39.35/5.31 inference(superposition,[],[f2687,f1069])). 39.35/5.31 tff(f2722,plain,( 39.35/5.31 (exists_in_world @ sK22 @ sK21 = $false) | (rel_s4 @ sK21 @ sK21 = $false) | (~spl1_52 | ~spl1_84)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2695])). 39.35/5.31 tff(f2729,plain,( 39.35/5.31 ($false = $true) | (rel_s4 @ sK21 @ sK21 = $false) | (~spl1_52 | ~spl1_58 | ~spl1_84)), 39.35/5.31 inference(forward_demodulation,[],[f2722,f1108])). 39.35/5.31 tff(f2730,plain,( 39.35/5.31 (rel_s4 @ sK21 @ sK21 = $false) | (~spl1_52 | ~spl1_58 | ~spl1_84)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2729])). 39.35/5.31 tff(f2742,plain,( 39.35/5.31 spl1_86 <=> (rel_s4 @ sK21 @ sK21 = $false)), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_86])])). 39.35/5.31 tff(f2743,plain,( 39.35/5.31 (rel_s4 @ sK21 @ sK21 = $false) | ~spl1_86), 39.35/5.31 inference(avatar_component_clause,[],[f2742])). 39.35/5.31 tff(f2744,plain,( 39.35/5.31 spl1_86 | ~spl1_52 | ~spl1_58 | ~spl1_84), 39.35/5.31 inference(avatar_split_clause,[],[f2730,f2686,f1107,f1068,f2742])). 39.35/5.31 tff(f2745,plain,( 39.35/5.31 ($false = $true) | ~spl1_86), 39.35/5.31 inference(superposition,[],[f2743,f176])). 39.35/5.31 tff(f2749,plain,( 39.35/5.31 $false | ~spl1_86), 39.35/5.31 inference(trivial_inequality_removal,[],[f2745])). 39.35/5.31 tff(f2750,plain,( 39.35/5.31 ~spl1_86), 39.35/5.31 inference(avatar_contradiction_clause,[],[f2749])). 39.35/5.31 tff(f2798,plain,( 39.35/5.31 ( ! [X57:mu] : (($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ X57 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X57 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_62)), 39.35/5.31 inference(superposition,[],[f1271,f1056])). 39.35/5.31 tff(f2877,plain,( 39.35/5.31 ( ! [X57:mu] : ((rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ X57 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X57 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_62)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2798])). 39.35/5.31 tff(f2908,plain,( 39.35/5.31 ( ! [X57:mu] : (($false = $true) | (exists_in_world @ X57 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X57 @ sK7) = $true)) ) | (~spl1_32 | ~spl1_50 | ~spl1_62)), 39.35/5.31 inference(forward_demodulation,[],[f2877,f753])). 39.35/5.31 tff(f2909,plain,( 39.35/5.31 ( ! [X57:mu] : ((f @ sK6 @ (sK20 @ X57 @ sK7) = $true) | (exists_in_world @ X57 @ sK7 = $false)) ) | (~spl1_32 | ~spl1_50 | ~spl1_62)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2908])). 39.35/5.31 tff(f2958,plain,( 39.35/5.31 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_62)), 39.35/5.31 inference(superposition,[],[f1072,f2909])). 39.35/5.31 tff(f2959,plain,( 39.35/5.31 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_62)), 39.35/5.31 inference(duplicate_literal_removal,[],[f2958])). 39.35/5.31 tff(f2960,plain,( 39.35/5.31 (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_62)), 39.35/5.31 inference(trivial_inequality_removal,[],[f2959])). 39.35/5.31 tff(f2963,plain,( 39.35/5.31 spl1_40 | spl1_38 | ~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_62), 39.35/5.31 inference(avatar_split_clause,[],[f2960,f1270,f1071,f1055,f752,f941,f947])). 39.35/5.31 tff(f2965,plain,( 39.35/5.31 spl1_88 <=> ! [X3 : mu,X2,X4] : ((rel_s4 @ sK3 @ X2 = $false) | (f @ X3 @ (sK10 @ X4 @ X3) = $false) | (rel_s4 @ X2 @ X4 = $false) | (exists_in_world @ X3 @ X2 = $false))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_88])])). 39.35/5.31 tff(f2966,plain,( 39.35/5.31 ( ! [X4,X2,X3:mu] : ((f @ X3 @ (sK10 @ X4 @ X3) = $false) | (rel_s4 @ sK3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (exists_in_world @ X3 @ X2 = $false)) ) | ~spl1_88), 39.35/5.31 inference(avatar_component_clause,[],[f2965])). 39.35/5.31 tff(f2967,plain,( 39.35/5.31 spl1_88 | spl1_50), 39.35/5.31 inference(avatar_split_clause,[],[f242,f1055,f2965])). 39.35/5.31 tff(f3025,plain,( 39.35/5.31 spl1_92 <=> (exists_in_world @ sK9 @ sK8 = $true)), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_92])])). 39.35/5.31 tff(f3026,plain,( 39.35/5.31 (exists_in_world @ sK9 @ sK8 = $true) | ~spl1_92), 39.35/5.31 inference(avatar_component_clause,[],[f3025])). 39.35/5.31 tff(f3027,plain,( 39.35/5.31 spl1_92 | spl1_50), 39.35/5.31 inference(avatar_split_clause,[],[f218,f1055,f3025])). 39.35/5.31 tff(f3043,plain,( 39.35/5.31 spl1_94 <=> ! [X3 : mu,X2,X4] : ((rel_s4 @ sK3 @ X2 = $false) | (rel_s4 @ X4 @ (sK10 @ X4 @ X3) = $true) | (rel_s4 @ X2 @ X4 = $false) | (exists_in_world @ X3 @ X2 = $false))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_94])])). 39.35/5.31 tff(f3044,plain,( 39.35/5.31 ( ! [X4,X2,X3:mu] : ((rel_s4 @ X4 @ (sK10 @ X4 @ X3) = $true) | (rel_s4 @ sK3 @ X2 = $false) | (rel_s4 @ X2 @ X4 = $false) | (exists_in_world @ X3 @ X2 = $false)) ) | ~spl1_94), 39.35/5.31 inference(avatar_component_clause,[],[f3043])). 39.35/5.31 tff(f3045,plain,( 39.35/5.31 spl1_94 | spl1_50), 39.35/5.31 inference(avatar_split_clause,[],[f243,f1055,f3043])). 39.35/5.31 tff(f3455,plain,( 39.35/5.31 spl1_110 <=> ! [X2] : ((rel_s4 @ sK8 @ X2 = $false) | (f @ sK9 @ X2 = $true))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_110])])). 39.35/5.31 tff(f3456,plain,( 39.35/5.31 ( ! [X2] : ((rel_s4 @ sK8 @ X2 = $false) | (f @ sK9 @ X2 = $true)) ) | ~spl1_110), 39.35/5.31 inference(avatar_component_clause,[],[f3455])). 39.35/5.31 tff(f3457,plain,( 39.35/5.31 spl1_110 | spl1_50), 39.35/5.31 inference(avatar_split_clause,[],[f224,f1055,f3455])). 39.35/5.31 tff(f3466,plain,( 39.35/5.31 ( ! [X10,X9:mu] : (($false = $true) | (rel_s4 @ sK3 @ X10 = $false) | (rel_s4 @ X10 @ sK8 = $false) | (exists_in_world @ X9 @ X10 = $false) | (f @ sK9 @ (sK10 @ sK8 @ X9) = $true)) ) | (~spl1_94 | ~spl1_110)), 39.35/5.31 inference(superposition,[],[f3044,f3456])). 39.35/5.31 tff(f3469,plain,( 39.35/5.31 ( ! [X10,X9:mu] : ((f @ sK9 @ (sK10 @ sK8 @ X9) = $true) | (rel_s4 @ X10 @ sK8 = $false) | (exists_in_world @ X9 @ X10 = $false) | (rel_s4 @ sK3 @ X10 = $false)) ) | (~spl1_94 | ~spl1_110)), 39.35/5.31 inference(trivial_inequality_removal,[],[f3466])). 39.35/5.31 tff(f3852,plain,( 39.35/5.31 ( ! [X0,X1] : (($false = $true) | (rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK8 = $false) | (exists_in_world @ sK9 @ X0 = $false) | (rel_s4 @ X1 @ sK8 = $false) | (exists_in_world @ sK9 @ X1 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | (~spl1_88 | ~spl1_94 | ~spl1_110)), 39.35/5.31 inference(superposition,[],[f2966,f3469])). 39.35/5.31 tff(f3853,plain,( 39.35/5.31 ( ! [X0,X1] : ((rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK8 = $false) | (exists_in_world @ sK9 @ X0 = $false) | (rel_s4 @ X1 @ sK8 = $false) | (exists_in_world @ sK9 @ X1 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | (~spl1_88 | ~spl1_94 | ~spl1_110)), 39.35/5.31 inference(trivial_inequality_removal,[],[f3852])). 39.35/5.31 tff(f4853,plain,( 39.35/5.31 spl1_116 <=> ! [X1] : ((rel_s4 @ X1 @ sK8 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK9 @ X1 = $false))), 39.35/5.31 introduced(avatar_definition,[new_symbols(naming,[spl1_116])])). 39.35/5.31 tff(f4854,plain,( 39.35/5.31 ( ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ sK8 = $false) | (exists_in_world @ sK9 @ X1 = $false)) ) | ~spl1_116), 39.35/5.31 inference(avatar_component_clause,[],[f4853])). 39.35/5.31 tff(f4855,plain,( 39.35/5.31 spl1_116 | spl1_116 | ~spl1_88 | ~spl1_94 | ~spl1_110), 39.35/5.31 inference(avatar_split_clause,[],[f3853,f3455,f3043,f2965,f4853,f4853])). 39.35/5.31 tff(f4867,plain,( 39.35/5.31 ($false = $true) | (rel_s4 @ sK8 @ sK8 = $false) | (exists_in_world @ sK9 @ sK8 = $false) | (~spl1_48 | ~spl1_116)), 39.35/5.31 inference(superposition,[],[f4854,f1053])). 39.35/5.31 tff(f4936,plain,( 39.35/5.31 (rel_s4 @ sK8 @ sK8 = $false) | (exists_in_world @ sK9 @ sK8 = $false) | (~spl1_48 | ~spl1_116)), 39.35/5.31 inference(trivial_inequality_removal,[],[f4867])). 39.35/5.32 tff(f4948,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK8 @ sK8 = $false) | (~spl1_48 | ~spl1_92 | ~spl1_116)), 39.35/5.32 inference(forward_demodulation,[],[f4936,f3026])). 39.35/5.32 tff(f4949,plain,( 39.35/5.32 (rel_s4 @ sK8 @ sK8 = $false) | (~spl1_48 | ~spl1_92 | ~spl1_116)), 39.35/5.32 inference(trivial_inequality_removal,[],[f4948])). 39.35/5.32 tff(f4956,plain,( 39.35/5.32 spl1_118 <=> (rel_s4 @ sK8 @ sK8 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_118])])). 39.35/5.32 tff(f4957,plain,( 39.35/5.32 (rel_s4 @ sK8 @ sK8 = $false) | ~spl1_118), 39.35/5.32 inference(avatar_component_clause,[],[f4956])). 39.35/5.32 tff(f4958,plain,( 39.35/5.32 spl1_118 | ~spl1_48 | ~spl1_92 | ~spl1_116), 39.35/5.32 inference(avatar_split_clause,[],[f4949,f4853,f3025,f1052,f4956])). 39.35/5.32 tff(f4959,plain,( 39.35/5.32 ($false = $true) | ~spl1_118), 39.35/5.32 inference(superposition,[],[f4957,f176])). 39.35/5.32 tff(f4963,plain,( 39.35/5.32 $false | ~spl1_118), 39.35/5.32 inference(trivial_inequality_removal,[],[f4959])). 39.35/5.32 tff(f4964,plain,( 39.35/5.32 ~spl1_118), 39.35/5.32 inference(avatar_contradiction_clause,[],[f4963])). 39.35/5.32 tff(f4966,plain,( 39.35/5.32 ( ! [X0] : (($false = $true) | (exists_in_world @ sK6 @ X0 != $true) | (rel_s4 @ X0 @ sK7 != $true)) ) | ~spl1_40), 39.35/5.32 inference(superposition,[],[f149,f948])). 39.35/5.32 tff(f4967,plain,( 39.35/5.32 ( ! [X0] : ((rel_s4 @ X0 @ sK7 != $true) | (exists_in_world @ sK6 @ X0 != $true)) ) | ~spl1_40), 39.35/5.32 inference(trivial_inequality_removal,[],[f4966])). 39.35/5.32 tff(f4980,plain,( 39.35/5.32 spl1_120 <=> ! [X1,X3,X2 : mu] : ((rel_s4 @ sK3 @ X1 = $false) | (f @ X2 @ (sK16 @ X3 @ X2) = $false) | (rel_s4 @ X1 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false))), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_120])])). 39.35/5.32 tff(f4981,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : ((f @ X2 @ (sK16 @ X3 @ X2) = $false) | (rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (exists_in_world @ X2 @ X1 = $false)) ) | ~spl1_120), 39.35/5.32 inference(avatar_component_clause,[],[f4980])). 39.35/5.32 tff(f4982,plain,( 39.35/5.32 spl1_120 | spl1_14), 39.35/5.32 inference(avatar_split_clause,[],[f319,f566,f4980])). 39.35/5.32 tff(f4987,plain,( 39.35/5.32 spl1_122 <=> (exists_in_world @ sK15 @ sK14 = $true)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_122])])). 39.35/5.32 tff(f4988,plain,( 39.35/5.32 (exists_in_world @ sK15 @ sK14 = $true) | ~spl1_122), 39.35/5.32 inference(avatar_component_clause,[],[f4987])). 39.35/5.32 tff(f4989,plain,( 39.35/5.32 spl1_122 | spl1_14), 39.35/5.32 inference(avatar_split_clause,[],[f295,f566,f4987])). 39.35/5.32 tff(f5079,plain,( 39.35/5.32 ($true != $true) | (exists_in_world @ sK6 @ sK5 != $true) | (~spl1_18 | ~spl1_40)), 39.35/5.32 inference(superposition,[],[f4967,f585])). 39.35/5.32 tff(f5099,plain,( 39.35/5.32 (exists_in_world @ sK6 @ sK5 != $true) | (~spl1_18 | ~spl1_40)), 39.35/5.32 inference(trivial_inequality_removal,[],[f5079])). 39.35/5.32 tff(f5105,plain,( 39.35/5.32 ~spl1_15 | ~spl1_18 | ~spl1_40), 39.35/5.32 inference(avatar_split_clause,[],[f5099,f947,f584,f563])). 39.35/5.32 tff(f5106,plain,( 39.35/5.32 ($true != $true) | (exists_in_world @ sK6 @ sK5 = $false) | ~spl1_15), 39.35/5.32 inference(fool_paramodulation,[],[f564])). 39.35/5.32 tff(f5109,plain,( 39.35/5.32 (exists_in_world @ sK6 @ sK5 = $false) | ~spl1_15), 39.35/5.32 inference(trivial_inequality_removal,[],[f5106])). 39.35/5.32 tff(f5115,plain,( 39.35/5.32 spl1_124 <=> (exists_in_world @ sK6 @ sK5 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_124])])). 39.35/5.32 tff(f5116,plain,( 39.35/5.32 (exists_in_world @ sK6 @ sK5 = $false) | ~spl1_124), 39.35/5.32 inference(avatar_component_clause,[],[f5115])). 39.35/5.32 tff(f5117,plain,( 39.35/5.32 spl1_124 | spl1_15), 39.35/5.32 inference(avatar_split_clause,[],[f5109,f563,f5115])). 39.35/5.32 tff(f5156,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : (($false = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK16 @ X3 @ X2) = $true)) ) | ~spl1_124), 39.35/5.32 inference(forward_demodulation,[],[f320,f5116])). 39.35/5.32 tff(f5157,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : ((rel_s4 @ X3 @ (sK16 @ X3 @ X2) = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_124), 39.35/5.32 inference(trivial_inequality_removal,[],[f5156])). 39.35/5.32 tff(f5810,plain,( 39.35/5.32 ( ! [X1] : (($false = $true) | (rel_s4 @ sK14 @ X1 = $false) | (f @ sK15 @ X1 = $true)) ) | ~spl1_124), 39.35/5.32 inference(forward_demodulation,[],[f301,f5116])). 39.35/5.32 tff(f5811,plain,( 39.35/5.32 ( ! [X1] : ((rel_s4 @ sK14 @ X1 = $false) | (f @ sK15 @ X1 = $true)) ) | ~spl1_124), 39.35/5.32 inference(trivial_inequality_removal,[],[f5810])). 39.35/5.32 tff(f5826,plain,( 39.35/5.32 ( ! [X15:mu,X16] : (($false = $true) | (exists_in_world @ X15 @ X16 = $false) | (rel_s4 @ X16 @ sK14 = $false) | (rel_s4 @ sK3 @ X16 = $false) | (f @ sK15 @ (sK16 @ sK14 @ X15) = $true)) ) | ~spl1_124), 39.35/5.32 inference(superposition,[],[f5157,f5811])). 39.35/5.32 tff(f5837,plain,( 39.35/5.32 ( ! [X15:mu,X16] : ((f @ sK15 @ (sK16 @ sK14 @ X15) = $true) | (rel_s4 @ X16 @ sK14 = $false) | (rel_s4 @ sK3 @ X16 = $false) | (exists_in_world @ X15 @ X16 = $false)) ) | ~spl1_124), 39.35/5.32 inference(trivial_inequality_removal,[],[f5826])). 39.35/5.32 tff(f5884,plain,( 39.35/5.32 ( ! [X0,X1] : (($false = $true) | (rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK14 = $false) | (exists_in_world @ sK15 @ X0 = $false) | (rel_s4 @ X1 @ sK14 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK15 @ X1 = $false)) ) | (~spl1_120 | ~spl1_124)), 39.35/5.32 inference(superposition,[],[f4981,f5837])). 39.35/5.32 tff(f5885,plain,( 39.35/5.32 ( ! [X0,X1] : ((rel_s4 @ sK3 @ X0 = $false) | (rel_s4 @ X0 @ sK14 = $false) | (exists_in_world @ sK15 @ X0 = $false) | (rel_s4 @ X1 @ sK14 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK15 @ X1 = $false)) ) | (~spl1_120 | ~spl1_124)), 39.35/5.32 inference(trivial_inequality_removal,[],[f5884])). 39.35/5.32 tff(f7315,plain,( 39.35/5.32 spl1_138 <=> ! [X1] : ((rel_s4 @ X1 @ sK14 = $false) | (exists_in_world @ sK15 @ X1 = $false) | (rel_s4 @ sK3 @ X1 = $false))), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_138])])). 39.35/5.32 tff(f7316,plain,( 39.35/5.32 ( ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK15 @ X1 = $false) | (rel_s4 @ X1 @ sK14 = $false)) ) | ~spl1_138), 39.35/5.32 inference(avatar_component_clause,[],[f7315])). 39.35/5.32 tff(f7317,plain,( 39.35/5.32 spl1_138 | spl1_138 | ~spl1_120 | ~spl1_124), 39.35/5.32 inference(avatar_split_clause,[],[f5885,f5115,f4980,f7315,f7315])). 39.35/5.32 tff(f7334,plain,( 39.35/5.32 ($false = $true) | (exists_in_world @ sK15 @ sK14 = $false) | (rel_s4 @ sK14 @ sK14 = $false) | (~spl1_12 | ~spl1_138)), 39.35/5.32 inference(superposition,[],[f7316,f561])). 39.35/5.32 tff(f7425,plain,( 39.35/5.32 (exists_in_world @ sK15 @ sK14 = $false) | (rel_s4 @ sK14 @ sK14 = $false) | (~spl1_12 | ~spl1_138)), 39.35/5.32 inference(trivial_inequality_removal,[],[f7334])). 39.35/5.32 tff(f7442,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK14 @ sK14 = $false) | (~spl1_12 | ~spl1_122 | ~spl1_138)), 39.35/5.32 inference(forward_demodulation,[],[f7425,f4988])). 39.35/5.32 tff(f7443,plain,( 39.35/5.32 (rel_s4 @ sK14 @ sK14 = $false) | (~spl1_12 | ~spl1_122 | ~spl1_138)), 39.35/5.32 inference(trivial_inequality_removal,[],[f7442])). 39.35/5.32 tff(f7450,plain,( 39.35/5.32 spl1_140 <=> (rel_s4 @ sK14 @ sK14 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_140])])). 39.35/5.32 tff(f7451,plain,( 39.35/5.32 (rel_s4 @ sK14 @ sK14 = $false) | ~spl1_140), 39.35/5.32 inference(avatar_component_clause,[],[f7450])). 39.35/5.32 tff(f7452,plain,( 39.35/5.32 spl1_140 | ~spl1_12 | ~spl1_122 | ~spl1_138), 39.35/5.32 inference(avatar_split_clause,[],[f7443,f7315,f4987,f560,f7450])). 39.35/5.32 tff(f7453,plain,( 39.35/5.32 ($false = $true) | ~spl1_140), 39.35/5.32 inference(superposition,[],[f7451,f176])). 39.35/5.32 tff(f7457,plain,( 39.35/5.32 $false | ~spl1_140), 39.35/5.32 inference(trivial_inequality_removal,[],[f7453])). 39.35/5.32 tff(f7458,plain,( 39.35/5.32 ~spl1_140), 39.35/5.32 inference(avatar_contradiction_clause,[],[f7457])). 39.35/5.32 tff(f7526,plain,( 39.35/5.32 spl1_68 | spl1_54), 39.35/5.32 inference(avatar_split_clause,[],[f420,f1071,f1390])). 39.35/5.32 tff(f7745,plain,( 39.35/5.32 spl1_66 | spl1_54), 39.35/5.32 inference(avatar_split_clause,[],[f419,f1071,f1356])). 39.35/5.32 tff(f7765,plain,( 39.35/5.32 ($true != $true) | (rel_s4 @ sK5 @ sK7 = $false) | ~spl1_19), 39.35/5.32 inference(fool_paramodulation,[],[f582])). 39.35/5.32 tff(f7769,plain,( 39.35/5.32 (rel_s4 @ sK5 @ sK7 = $false) | ~spl1_19), 39.35/5.32 inference(trivial_inequality_removal,[],[f7765])). 39.35/5.32 tff(f7780,plain,( 39.35/5.32 spl1_142 <=> (rel_s4 @ sK5 @ sK7 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_142])])). 39.35/5.32 tff(f7781,plain,( 39.35/5.32 (rel_s4 @ sK5 @ sK7 = $false) | ~spl1_142), 39.35/5.32 inference(avatar_component_clause,[],[f7780])). 39.35/5.32 tff(f7782,plain,( 39.35/5.32 spl1_142 | spl1_19), 39.35/5.32 inference(avatar_split_clause,[],[f7769,f581,f7780])). 39.35/5.32 tff(f7800,plain,( 39.35/5.32 ($false = $true) | (exists_in_world @ sK12 @ sK11 = $true) | ~spl1_142), 39.35/5.32 inference(forward_demodulation,[],[f257,f7781])). 39.35/5.32 tff(f7801,plain,( 39.35/5.32 (exists_in_world @ sK12 @ sK11 = $true) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f7800])). 39.35/5.32 tff(f7806,plain,( 39.35/5.32 spl1_144 <=> (exists_in_world @ sK12 @ sK11 = $true)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_144])])). 39.35/5.32 tff(f7807,plain,( 39.35/5.32 (exists_in_world @ sK12 @ sK11 = $true) | ~spl1_144), 39.35/5.32 inference(avatar_component_clause,[],[f7806])). 39.35/5.32 tff(f7808,plain,( 39.35/5.32 spl1_144 | ~spl1_142), 39.35/5.32 inference(avatar_split_clause,[],[f7801,f7780,f7806])). 39.35/5.32 tff(f7810,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : (($false = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (f @ X2 @ (sK13 @ X3 @ X2) = $false)) ) | ~spl1_142), 39.35/5.32 inference(forward_demodulation,[],[f281,f7781])). 39.35/5.32 tff(f7811,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : ((f @ X2 @ (sK13 @ X3 @ X2) = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f7810])). 39.35/5.32 tff(f7951,plain,( 39.35/5.32 ( ! [X1] : (($false = $true) | (rel_s4 @ sK11 @ X1 = $false) | (f @ sK12 @ X1 = $true)) ) | ~spl1_142), 39.35/5.32 inference(forward_demodulation,[],[f263,f7781])). 39.35/5.32 tff(f7952,plain,( 39.35/5.32 ( ! [X1] : ((rel_s4 @ sK11 @ X1 = $false) | (f @ sK12 @ X1 = $true)) ) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f7951])). 39.35/5.32 tff(f7979,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : (($false = $true) | (rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ X3 @ (sK13 @ X3 @ X2) = $true)) ) | ~spl1_142), 39.35/5.32 inference(forward_demodulation,[],[f282,f7781])). 39.35/5.32 tff(f7980,plain,( 39.35/5.32 ( ! [X2:mu,X3,X1] : ((rel_s4 @ X3 @ (sK13 @ X3 @ X2) = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ X3 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f7979])). 39.35/5.32 tff(f8052,plain,( 39.35/5.32 ( ! [X21:mu,X22] : (($false = $true) | (f @ sK12 @ (sK13 @ sK11 @ X21) = $true) | (exists_in_world @ X21 @ X22 = $false) | (rel_s4 @ X22 @ sK11 = $false) | (rel_s4 @ sK3 @ X22 = $false)) ) | ~spl1_142), 39.35/5.32 inference(superposition,[],[f7952,f7980])). 39.35/5.32 tff(f8128,plain,( 39.35/5.32 ( ! [X21:mu,X22] : ((f @ sK12 @ (sK13 @ sK11 @ X21) = $true) | (exists_in_world @ X21 @ X22 = $false) | (rel_s4 @ X22 @ sK11 = $false) | (rel_s4 @ sK3 @ X22 = $false)) ) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f8052])). 39.35/5.32 tff(f8189,plain,( 39.35/5.32 ( ! [X0,X1] : (($false = $true) | (exists_in_world @ sK12 @ X0 = $false) | (rel_s4 @ X0 @ sK11 = $false) | (rel_s4 @ sK3 @ X0 = $false) | (exists_in_world @ sK12 @ X1 = $false) | (rel_s4 @ X1 @ sK11 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_142), 39.35/5.32 inference(superposition,[],[f7811,f8128])). 39.35/5.32 tff(f8190,plain,( 39.35/5.32 ( ! [X0,X1] : ((exists_in_world @ sK12 @ X0 = $false) | (rel_s4 @ X0 @ sK11 = $false) | (rel_s4 @ sK3 @ X0 = $false) | (exists_in_world @ sK12 @ X1 = $false) | (rel_s4 @ X1 @ sK11 = $false) | (rel_s4 @ sK3 @ X1 = $false)) ) | ~spl1_142), 39.35/5.32 inference(trivial_inequality_removal,[],[f8189])). 39.35/5.32 tff(f9354,plain,( 39.35/5.32 spl1_152 <=> ! [X1] : ((exists_in_world @ sK12 @ X1 = $false) | (rel_s4 @ sK3 @ X1 = $false) | (rel_s4 @ X1 @ sK11 = $false))), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_152])])). 39.35/5.32 tff(f9355,plain,( 39.35/5.32 ( ! [X1] : ((rel_s4 @ sK3 @ X1 = $false) | (exists_in_world @ sK12 @ X1 = $false) | (rel_s4 @ X1 @ sK11 = $false)) ) | ~spl1_152), 39.35/5.32 inference(avatar_component_clause,[],[f9354])). 39.35/5.32 tff(f9356,plain,( 39.35/5.32 spl1_152 | spl1_152 | ~spl1_142), 39.35/5.32 inference(avatar_split_clause,[],[f8190,f7780,f9354,f9354])). 39.35/5.32 tff(f9371,plain,( 39.35/5.32 ($false = $true) | (exists_in_world @ sK12 @ sK11 = $false) | (rel_s4 @ sK11 @ sK11 = $false) | (~spl1_16 | ~spl1_152)), 39.35/5.32 inference(superposition,[],[f9355,f579])). 39.35/5.32 tff(f9445,plain,( 39.35/5.32 (exists_in_world @ sK12 @ sK11 = $false) | (rel_s4 @ sK11 @ sK11 = $false) | (~spl1_16 | ~spl1_152)), 39.35/5.32 inference(trivial_inequality_removal,[],[f9371])). 39.35/5.32 tff(f9460,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK11 @ sK11 = $false) | (~spl1_16 | ~spl1_144 | ~spl1_152)), 39.35/5.32 inference(forward_demodulation,[],[f9445,f7807])). 39.35/5.32 tff(f9461,plain,( 39.35/5.32 (rel_s4 @ sK11 @ sK11 = $false) | (~spl1_16 | ~spl1_144 | ~spl1_152)), 39.35/5.32 inference(trivial_inequality_removal,[],[f9460])). 39.35/5.32 tff(f9468,plain,( 39.35/5.32 spl1_154 <=> (rel_s4 @ sK11 @ sK11 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_154])])). 39.35/5.32 tff(f9469,plain,( 39.35/5.32 (rel_s4 @ sK11 @ sK11 = $false) | ~spl1_154), 39.35/5.32 inference(avatar_component_clause,[],[f9468])). 39.35/5.32 tff(f9470,plain,( 39.35/5.32 spl1_154 | ~spl1_16 | ~spl1_144 | ~spl1_152), 39.35/5.32 inference(avatar_split_clause,[],[f9461,f9354,f7806,f578,f9468])). 39.35/5.32 tff(f9471,plain,( 39.35/5.32 ($false = $true) | ~spl1_154), 39.35/5.32 inference(superposition,[],[f9469,f176])). 39.35/5.32 tff(f9475,plain,( 39.35/5.32 $false | ~spl1_154), 39.35/5.32 inference(trivial_inequality_removal,[],[f9471])). 39.35/5.32 tff(f9476,plain,( 39.35/5.32 ~spl1_154), 39.35/5.32 inference(avatar_contradiction_clause,[],[f9475])). 39.35/5.32 tff(f9498,plain,( 39.35/5.32 ($true != $true) | (exists_in_world @ sK22 @ sK21 = $false) | ~spl1_59), 39.35/5.32 inference(fool_paramodulation,[],[f1105])). 39.35/5.32 tff(f9501,plain,( 39.35/5.32 (exists_in_world @ sK22 @ sK21 = $false) | ~spl1_59), 39.35/5.32 inference(trivial_inequality_removal,[],[f9498])). 39.35/5.32 tff(f9519,plain,( 39.35/5.32 spl1_156 <=> (exists_in_world @ sK22 @ sK21 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_156])])). 39.35/5.32 tff(f9520,plain,( 39.35/5.32 (exists_in_world @ sK22 @ sK21 = $false) | ~spl1_156), 39.35/5.32 inference(avatar_component_clause,[],[f9519])). 39.35/5.32 tff(f9521,plain,( 39.35/5.32 spl1_156 | spl1_59), 39.35/5.32 inference(avatar_split_clause,[],[f9501,f1104,f9519])). 39.35/5.32 tff(f10818,plain,( 39.35/5.32 ( ! [X2:mu,X1] : (($false = $true) | (rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true)) ) | ~spl1_156), 39.35/5.32 inference(forward_demodulation,[],[f396,f9520])). 39.35/5.32 tff(f10819,plain,( 39.35/5.32 ( ! [X2:mu,X1] : ((rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ sK4 @ X1 = $false)) ) | ~spl1_156), 39.35/5.32 inference(trivial_inequality_removal,[],[f10818])). 39.35/5.32 tff(f10931,plain,( 39.35/5.32 ( ! [X80:mu] : (($false = $true) | (exists_in_world @ X80 @ sK7 = $false) | (rel_s4 @ sK4 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_156)), 39.35/5.32 inference(superposition,[],[f10819,f1056])). 39.35/5.32 tff(f11054,plain,( 39.35/5.32 ( ! [X80:mu] : ((exists_in_world @ X80 @ sK7 = $false) | (rel_s4 @ sK4 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_156)), 39.35/5.32 inference(trivial_inequality_removal,[],[f10931])). 39.35/5.32 tff(f11095,plain,( 39.35/5.32 ( ! [X80:mu] : (($false = $true) | (exists_in_world @ X80 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_32 | ~spl1_50 | ~spl1_156)), 39.35/5.32 inference(forward_demodulation,[],[f11054,f753])). 39.35/5.32 tff(f11096,plain,( 39.35/5.32 ( ! [X80:mu] : ((f @ sK6 @ (sK20 @ X80 @ sK7) = $true) | (exists_in_world @ X80 @ sK7 = $false)) ) | (~spl1_32 | ~spl1_50 | ~spl1_156)), 39.35/5.32 inference(trivial_inequality_removal,[],[f11095])). 39.35/5.32 tff(f11504,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_156)), 39.35/5.32 inference(superposition,[],[f1072,f11096])). 39.35/5.32 tff(f11505,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_156)), 39.35/5.32 inference(duplicate_literal_removal,[],[f11504])). 39.35/5.32 tff(f11506,plain,( 39.35/5.32 (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_156)), 39.35/5.32 inference(trivial_inequality_removal,[],[f11505])). 39.35/5.32 tff(f11509,plain,( 39.35/5.32 spl1_40 | spl1_38 | ~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_156), 39.35/5.32 inference(avatar_split_clause,[],[f11506,f9519,f1071,f1055,f752,f941,f947])). 39.35/5.32 tff(f11510,plain,( 39.35/5.32 ($true != $true) | (rel_s4 @ sK3 @ sK21 = $false) | ~spl1_53), 39.35/5.32 inference(fool_paramodulation,[],[f1066])). 39.35/5.32 tff(f11516,plain,( 39.35/5.32 (rel_s4 @ sK3 @ sK21 = $false) | ~spl1_53), 39.35/5.32 inference(trivial_inequality_removal,[],[f11510])). 39.35/5.32 tff(f11523,plain,( 39.35/5.32 spl1_208 <=> (rel_s4 @ sK3 @ sK21 = $false)), 39.35/5.32 introduced(avatar_definition,[new_symbols(naming,[spl1_208])])). 39.35/5.32 tff(f11524,plain,( 39.35/5.32 (rel_s4 @ sK3 @ sK21 = $false) | ~spl1_208), 39.35/5.32 inference(avatar_component_clause,[],[f11523])). 39.35/5.32 tff(f11525,plain,( 39.35/5.32 spl1_208 | spl1_53), 39.35/5.32 inference(avatar_split_clause,[],[f11516,f1065,f11523])). 39.35/5.32 tff(f11530,plain,( 39.35/5.32 ( ! [X2:mu,X1] : (($false = $true) | (rel_s4 @ sK4 @ X1 = $false) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true)) ) | ~spl1_208), 39.35/5.32 inference(forward_demodulation,[],[f400,f11524])). 39.35/5.32 tff(f11531,plain,( 39.35/5.32 ( ! [X2:mu,X1] : ((rel_s4 @ X1 @ (sK20 @ X2 @ X1) = $true) | (exists_in_world @ X2 @ X1 = $false) | (rel_s4 @ sK4 @ X1 = $false)) ) | ~spl1_208), 39.35/5.32 inference(trivial_inequality_removal,[],[f11530])). 39.35/5.32 tff(f11565,plain,( 39.35/5.32 ( ! [X80:mu] : (($false = $true) | (exists_in_world @ X80 @ sK7 = $false) | (rel_s4 @ sK4 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_208)), 39.35/5.32 inference(superposition,[],[f11531,f1056])). 39.35/5.32 tff(f11684,plain,( 39.35/5.32 ( ! [X80:mu] : ((exists_in_world @ X80 @ sK7 = $false) | (rel_s4 @ sK4 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_50 | ~spl1_208)), 39.35/5.32 inference(trivial_inequality_removal,[],[f11565])). 39.35/5.32 tff(f11725,plain,( 39.35/5.32 ( ! [X80:mu] : (($false = $true) | (exists_in_world @ X80 @ sK7 = $false) | (f @ sK6 @ (sK20 @ X80 @ sK7) = $true)) ) | (~spl1_32 | ~spl1_50 | ~spl1_208)), 39.35/5.32 inference(forward_demodulation,[],[f11684,f753])). 39.35/5.32 tff(f11726,plain,( 39.35/5.32 ( ! [X80:mu] : ((f @ sK6 @ (sK20 @ X80 @ sK7) = $true) | (exists_in_world @ X80 @ sK7 = $false)) ) | (~spl1_32 | ~spl1_50 | ~spl1_208)), 39.35/5.32 inference(trivial_inequality_removal,[],[f11725])). 39.35/5.32 tff(f11775,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_208)), 39.35/5.32 inference(superposition,[],[f1072,f11726])). 39.35/5.32 tff(f11776,plain,( 39.35/5.32 ($false = $true) | (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_208)), 39.35/5.32 inference(duplicate_literal_removal,[],[f11775])). 39.35/5.32 tff(f11777,plain,( 39.35/5.32 (rel_s4 @ sK4 @ sK7 = $false) | (exists_in_world @ sK6 @ sK7 = $false) | (~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_208)), 39.35/5.32 inference(trivial_inequality_removal,[],[f11776])). 39.35/5.32 tff(f11780,plain,( 39.35/5.32 spl1_40 | spl1_38 | ~spl1_32 | ~spl1_50 | ~spl1_54 | ~spl1_208), 39.35/5.32 inference(avatar_split_clause,[],[f11777,f11523,f1071,f1055,f752,f941,f947])). 39.35/5.32 tff(f11781,plain,( 39.35/5.32 $false), 39.35/5.32 inference(avatar_sat_refutation,[],[f504,f536,f568,f586,f754,f992,f1031,f1057,f1073,f1109,f1268,f1272,f1358,f1392,f2473,f2548,f2554,f2688,f2744,f2750,f2963,f2967,f3027,f3045,f3457,f4855,f4958,f4964,f4982,f4989,f5105,f5117,f7317,f7452,f7458,f7526,f7745,f7782,f7808,f9356,f9470,f9476,f9521,f11509,f11525,f11780])). 39.35/5.32 % SZS output end Proof for theBenchmark 39.35/5.32 % (9593)------------------------------ 39.35/5.32 % (9593)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 39.35/5.32 % (9593)Termination reason: Refutation 39.35/5.32 39.35/5.32 % (9593)Memory used [KB]: 24178 39.35/5.32 % (9593)Time elapsed: 3.377 s 39.35/5.32 % (9593)------------------------------ 39.35/5.32 % (9593)------------------------------ 39.35/5.32 % (9540)Success in time 4.98 s 39.35/5.33 EOF