TSTP Solution File: NUM532+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 10:19:24 EDT 2022
% Result : Theorem 113.49s 19.54s
% Output : Proof 113.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 11:35:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000048s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 15
% 0.12/0.35 Launch Gotab with destructive = true
% 113.49/19.53 % SZS output start Proof for theBenchmark.p
% 113.49/19.54 [0] ALPHA_AND : (! [W03_3] : ((aSet0(W03_3) => $true)) & ! [W04_4] : ((aElement0(W04_4) => $true)) & ! [W05_5] : ((aSet0(W05_5) => ! [W16_6] : ((aElementOf0(W16_6, W05_5) => aElement0(W16_6))))) & ! [W07_7] : ((aSet0(W07_7) => (isFinite0(W07_7) => $true))) & ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8))))) & isFinite0(slcrc0) & ! [W010_10] : ((aSet0(W010_10) => (isCountable0(W010_10) => $true))) & ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11))) & ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0))) & ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13)))))))) & ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17))))) & aSet0(xA) & ~aSubsetOf0(xA, xA))
% 113.49/19.54 -> [1] ! [W03_3] : ((aSet0(W03_3) => $true)), ! [W04_4] : ((aElement0(W04_4) => $true)), ! [W05_5] : ((aSet0(W05_5) => ! [W16_6] : ((aElementOf0(W16_6, W05_5) => aElement0(W16_6))))), ! [W07_7] : ((aSet0(W07_7) => (isFinite0(W07_7) => $true))), ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8))))), isFinite0(slcrc0), ! [W010_10] : ((aSet0(W010_10) => (isCountable0(W010_10) => $true))), ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11))), ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0))), ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13)))))))), ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17))))), aSet0(xA), ~aSubsetOf0(xA, xA)
% 113.49/19.54
% 113.49/19.54 [1] GAMMA_FORALL : ! [W03_3] : ((aSet0(W03_3) => $true))
% 113.49/19.54 -> [2] (aSet0(xA) => $true)
% 113.49/19.54
% 113.49/19.54 [2] BETA_IMPLY : (aSet0(xA) => $true)
% 113.49/19.54 -> [3] ~aSet0(xA)
% 113.49/19.54 -> [4] $true
% 113.49/19.54
% 113.49/19.54 [3] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [4] GAMMA_FORALL : ! [W04_4] : ((aElement0(W04_4) => $true))
% 113.49/19.54 -> [5] (aElement0(W04_0_1) => $true)
% 113.49/19.54
% 113.49/19.54 [5] BETA_IMPLY : (aElement0(W04_0_1) => $true)
% 113.49/19.54 -> [6] ~aElement0(W04_0_1)
% 113.49/19.54 -> [7] $true
% 113.49/19.54
% 113.49/19.54 [7] GAMMA_FORALL : ! [W05_5] : ((aSet0(W05_5) => ! [W16_6] : ((aElementOf0(W16_6, W05_5) => aElement0(W16_6)))))
% 113.49/19.54 -> [8] (aSet0(xA) => ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6))))
% 113.49/19.54
% 113.49/19.54 [8] BETA_IMPLY : (aSet0(xA) => ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6))))
% 113.49/19.54 -> [10] ~aSet0(xA)
% 113.49/19.54 -> [11] ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6)))
% 113.49/19.54
% 113.49/19.54 [10] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [11] GAMMA_FORALL : ! [W07_7] : ((aSet0(W07_7) => (isFinite0(W07_7) => $true)))
% 113.49/19.54 -> [14] (aSet0(xA) => (isFinite0(xA) => $true))
% 113.49/19.54
% 113.49/19.54 [14] BETA_IMPLY : (aSet0(xA) => (isFinite0(xA) => $true))
% 113.49/19.54 -> [15] ~aSet0(xA)
% 113.49/19.54 -> [16] (isFinite0(xA) => $true)
% 113.49/19.54
% 113.49/19.54 [15] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [16] BETA_IMPLY : (isFinite0(xA) => $true)
% 113.49/19.54 -> [3777] ~isFinite0(xA)
% 113.49/19.54 -> [3778] $true
% 113.49/19.54
% 113.49/19.54 [3777] GAMMA_FORALL : ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8)))))
% 113.49/19.54 -> [3783] (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54
% 113.49/19.54 [3783] BETA_EQUIV : (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54 -> [3784] ~=(slcrc0, slcrc0), ~(aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54 -> [3785] =(slcrc0, slcrc0), (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [3784] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3787] GAMMA_FORALL : ! [W010_10] : ((aSet0(W010_10) => (isCountable0(W010_10) => $true)))
% 113.49/19.54 -> [3801] (aSet0(slcrc0) => (isCountable0(slcrc0) => $true))
% 113.49/19.54
% 113.49/19.54 [3801] BETA_IMPLY : (aSet0(slcrc0) => (isCountable0(slcrc0) => $true))
% 113.49/19.54 -> [3802] ~aSet0(slcrc0)
% 113.49/19.54 -> [3803] (isCountable0(slcrc0) => $true)
% 113.49/19.54
% 113.49/19.54 [3802] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3803] BETA_IMPLY : (isCountable0(slcrc0) => $true)
% 113.49/19.54 -> [3807] ~isCountable0(slcrc0)
% 113.49/19.54 -> [3808] $true
% 113.49/19.54
% 113.49/19.54 [3808] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [3811] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [3811] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [3814] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3815] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3815] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3814] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3821] ~aSet0(slcrc0)
% 113.49/19.54 -> [3822] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3821] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3822] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [3825] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [3825] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [3827] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3828] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3828] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3827] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3831] ~aSet0(slcrc0)
% 113.49/19.54 -> [3832] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3831] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3832] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [3849] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [3849] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [3850] ~aSet0(xA)
% 113.49/19.54 -> [3851] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [3850] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3851] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [3857] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [3857] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [3858] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3859] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [3858] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3866] ~aSet0(slcrc0)
% 113.49/19.54 -> [3867] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3867] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3866] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3860] BETA_IMPLY : (aElementOf0(W16_67_10, xA) => aElement0(W16_67_10))
% 113.49/19.54 -> [3983] ~aElementOf0(W16_67_10, xA)
% 113.49/19.54 -> [3984] aElement0(W16_67_10)
% 113.49/19.54
% 113.49/19.54 [3984] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [3996] ~aElementOf0(W19_177_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3996] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [4002] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [4002] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [4003] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4004] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4004] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4012] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4012] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4003] BETA_NOT_AND : ~(aSet0(slcrc0) & ! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0))))
% 113.49/19.54 -> [4016] ~aSet0(slcrc0)
% 113.49/19.54 -> [4017] ~! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [4017] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0)))
% 113.49/19.54 -> [4021] ~(aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0) => aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0))
% 113.49/19.54
% 113.49/19.54 [4021] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0) => aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0))
% 113.49/19.54 -> [4023] aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0), ~aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0)
% 113.49/19.54
% 113.49/19.54 [4023] CLOSURE : ~aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0)
% 113.49/19.54
% 113.49/19.54 [4016] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3983] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [3997] ~aElementOf0(W19_178_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3997] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [4005] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [4005] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [4006] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4007] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4007] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4013] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4013] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4006] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4044] ~aSet0(xA)
% 113.49/19.54 -> [4045] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4045] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [4046] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [4046] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [4047] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4047] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4044] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3807] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [3816] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [3816] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [3817] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3818] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3818] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3817] BETA_NOT_AND : ~(aSet0(xA) & isCountable0(xA))
% 113.49/19.54 -> [3823] ~aSet0(xA)
% 113.49/19.54 -> [3824] ~isCountable0(xA)
% 113.49/19.54
% 113.49/19.54 [3823] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3824] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [3836] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [3836] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [3837] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3838] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3838] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3837] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3841] ~aSet0(slcrc0)
% 113.49/19.54 -> [3842] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3841] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3842] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [3843] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [3843] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [3844] ~aSet0(xA)
% 113.49/19.54 -> [3845] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [3844] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3845] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [3846] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [3846] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [3847] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3848] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [3847] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3855] ~aSet0(slcrc0)
% 113.49/19.54 -> [3856] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3856] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3855] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3852] BETA_IMPLY : (aElementOf0(W16_66_10, xA) => aElement0(W16_66_10))
% 113.49/19.54 -> [4014] ~aElementOf0(W16_66_10, xA)
% 113.49/19.54 -> [4015] aElement0(W16_66_10)
% 113.49/19.54
% 113.49/19.54 [4015] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [4024] ~aElementOf0(W19_179_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [4024] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [4026] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [4026] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [4027] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4028] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4028] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4032] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4032] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4027] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4054] ~aSet0(xA)
% 113.49/19.54 -> [4055] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4054] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [4055] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [4056] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [4056] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [4057] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4057] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4014] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [4025] ~aElementOf0(W19_180_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [4025] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [4029] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [4029] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [4030] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4031] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4031] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4037] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4037] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [4030] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [4105] ~aSet0(xA)
% 113.49/19.54 -> [4106] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [4106] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [4108] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [4108] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [4109] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4109] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [4105] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3778] GAMMA_FORALL : ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8)))))
% 113.49/19.54 -> [3780] (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54
% 113.49/19.54 [3780] BETA_EQUIV : (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54 -> [3781] ~=(slcrc0, slcrc0), ~(aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54 -> [3782] =(slcrc0, slcrc0), (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [3781] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3791] BETA_IMPLY : (aSet0(slcrc0) => (isCountable0(slcrc0) => $true))
% 113.49/19.54 -> [6689] ~aSet0(slcrc0)
% 113.49/19.54 -> [6690] (isCountable0(slcrc0) => $true)
% 113.49/19.54
% 113.49/19.54 [6689] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6690] BETA_IMPLY : (isCountable0(slcrc0) => $true)
% 113.49/19.54 -> [6692] ~isCountable0(slcrc0)
% 113.49/19.54 -> [6693] $true
% 113.49/19.54
% 113.49/19.54 [6692] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [6701] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [6701] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [6702] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6703] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6703] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6702] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6704] ~aSet0(slcrc0)
% 113.49/19.54 -> [6705] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6704] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6705] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [6715] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [6715] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [6716] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6717] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6717] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6716] BETA_NOT_AND : ~(aSet0(xA) & isCountable0(xA))
% 113.49/19.54 -> [6718] ~aSet0(xA)
% 113.49/19.54 -> [6719] ~isCountable0(xA)
% 113.49/19.54
% 113.49/19.54 [6718] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6719] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [6726] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [6726] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [6729] ~aSet0(xA)
% 113.49/19.54 -> [6730] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [6729] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6730] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [6734] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [6734] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [6735] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [6736] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [6735] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [6741] ~aSet0(slcrc0)
% 113.49/19.54 -> [6742] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6741] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6742] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6738] BETA_IMPLY : (aElementOf0(W16_121_10, xA) => aElement0(W16_121_10))
% 113.49/19.54 -> [6783] ~aElementOf0(W16_121_10, xA)
% 113.49/19.54 -> [6784] aElement0(W16_121_10)
% 113.49/19.54
% 113.49/19.54 [6783] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [6796] ~aElementOf0(W19_304_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6796] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [6815] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [6815] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [6816] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6817] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6817] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6821] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6821] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6816] BETA_NOT_AND : ~(aSet0(slcrc0) & ! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0))))
% 113.49/19.54 -> [6822] ~aSet0(slcrc0)
% 113.49/19.54 -> [6823] ~! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [6823] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, slcrc0) => aElementOf0(W215_15, slcrc0)))
% 113.49/19.54 -> [6824] ~(aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0) => aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0))
% 113.49/19.54
% 113.49/19.54 [6824] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0) => aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0))
% 113.49/19.54 -> [6825] aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0), ~aElementOf0(skolem_W21515(slcrc0, slcrc0), slcrc0)
% 113.49/19.54
% 113.49/19.54 [6825] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6822] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6784] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [6795] ~aElementOf0(W19_303_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6795] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [6800] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [6800] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [6801] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6802] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6802] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6804] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6804] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6801] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6849] ~aSet0(xA)
% 113.49/19.54 -> [6850] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6849] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [6850] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [6851] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [6851] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [6852] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [6852] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [6693] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [6696] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [6696] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [6697] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6698] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6698] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6697] BETA_NOT_AND : ~(aSet0(xA) & isCountable0(xA))
% 113.49/19.54 -> [6699] ~aSet0(xA)
% 113.49/19.54 -> [6700] ~isCountable0(xA)
% 113.49/19.54
% 113.49/19.54 [6699] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6700] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [6710] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [6710] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [6711] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6712] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6712] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6711] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6713] ~aSet0(slcrc0)
% 113.49/19.54 -> [6714] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6713] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6714] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [6720] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [6720] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [6721] ~aSet0(xA)
% 113.49/19.54 -> [6722] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [6721] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6722] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [6723] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [6723] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [6724] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [6725] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [6724] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [6727] ~aSet0(slcrc0)
% 113.49/19.54 -> [6728] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6728] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6727] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6731] BETA_IMPLY : (aElementOf0(W16_120_10, xA) => aElement0(W16_120_10))
% 113.49/19.54 -> [6857] ~aElementOf0(W16_120_10, xA)
% 113.49/19.54 -> [6858] aElement0(W16_120_10)
% 113.49/19.54
% 113.49/19.54 [6858] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [6859] ~aElementOf0(W19_306_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6859] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [6868] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [6868] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [6869] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6870] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6870] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6872] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6872] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6869] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6877] ~aSet0(xA)
% 113.49/19.54 -> [6878] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6877] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6880] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6857] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [6860] ~aElementOf0(W19_307_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6860] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [6865] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [6865] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [6866] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6867] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6867] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6871] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6871] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6866] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6887] ~aSet0(xA)
% 113.49/19.54 -> [6888] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6887] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [6888] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [6889] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [6889] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [6890] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [6890] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [6] GAMMA_FORALL : ! [W05_5] : ((aSet0(W05_5) => ! [W16_6] : ((aElementOf0(W16_6, W05_5) => aElement0(W16_6)))))
% 113.49/19.54 -> [9] (aSet0(xA) => ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6))))
% 113.49/19.54
% 113.49/19.54 [9] BETA_IMPLY : (aSet0(xA) => ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6))))
% 113.49/19.54 -> [12] ~aSet0(xA)
% 113.49/19.54 -> [13] ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6)))
% 113.49/19.54
% 113.49/19.54 [12] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [13] GAMMA_FORALL : ! [W07_7] : ((aSet0(W07_7) => (isFinite0(W07_7) => $true)))
% 113.49/19.54 -> [17] (aSet0(xA) => (isFinite0(xA) => $true))
% 113.49/19.54
% 113.49/19.54 [17] BETA_IMPLY : (aSet0(xA) => (isFinite0(xA) => $true))
% 113.49/19.54 -> [20] ~aSet0(xA)
% 113.49/19.54 -> [21] (isFinite0(xA) => $true)
% 113.49/19.54
% 113.49/19.54 [20] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [21] BETA_IMPLY : (isFinite0(xA) => $true)
% 113.49/19.54 -> [3224] ~isFinite0(xA)
% 113.49/19.54 -> [3225] $true
% 113.49/19.54
% 113.49/19.54 [3224] GAMMA_FORALL : ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8)))))
% 113.49/19.54 -> [3226] (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54
% 113.49/19.54 [3226] BETA_EQUIV : (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54 -> [3228] ~=(slcrc0, slcrc0), ~(aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54 -> [3229] =(slcrc0, slcrc0), (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [3228] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3232] GAMMA_FORALL : ! [W010_10] : ((aSet0(W010_10) => (isCountable0(W010_10) => $true)))
% 113.49/19.54 -> [3239] (aSet0(xA) => (isCountable0(xA) => $true))
% 113.49/19.54
% 113.49/19.54 [3239] BETA_IMPLY : (aSet0(xA) => (isCountable0(xA) => $true))
% 113.49/19.54 -> [3240] ~aSet0(xA)
% 113.49/19.54 -> [3241] (isCountable0(xA) => $true)
% 113.49/19.54
% 113.49/19.54 [3240] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3241] BETA_IMPLY : (isCountable0(xA) => $true)
% 113.49/19.54 -> [3242] ~isCountable0(xA)
% 113.49/19.54 -> [3243] $true
% 113.49/19.54
% 113.49/19.54 [3243] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [3244] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [3244] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [3245] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3246] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3246] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3245] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3247] ~aSet0(slcrc0)
% 113.49/19.54 -> [3248] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3247] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3248] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [3254] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [3254] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [3255] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3256] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3256] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3255] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3260] ~aSet0(slcrc0)
% 113.49/19.54 -> [3261] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3260] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3261] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [3267] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [3267] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [3268] ~aSet0(xA)
% 113.49/19.54 -> [3269] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [3268] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3269] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [3273] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [3273] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [3277] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3278] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [3277] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3281] ~aSet0(slcrc0)
% 113.49/19.54 -> [3282] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3282] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3281] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3283] BETA_IMPLY : (aElementOf0(W16_58_10, xA) => aElement0(W16_58_10))
% 113.49/19.54 -> [3360] ~aElementOf0(W16_58_10, xA)
% 113.49/19.54 -> [3361] aElement0(W16_58_10)
% 113.49/19.54
% 113.49/19.54 [3360] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54 -> [3362] ~aElementOf0(W19_153_11, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3362] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [3363] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [3363] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [3364] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3365] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [3365] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3368] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [3368] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [3364] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3420] ~aSet0(xA)
% 113.49/19.54 -> [3421] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [3420] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3421] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [3422] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [3422] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [3423] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [3423] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [3361] CLOSURE : aElement0(W16_58_10)
% 113.49/19.54
% 113.49/19.54 [3242] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [3249] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [3249] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [3250] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3251] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3251] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3250] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3252] ~aSet0(slcrc0)
% 113.49/19.54 -> [3253] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3252] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3253] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [3262] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [3262] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [3263] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3264] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3264] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3263] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [3270] ~aSet0(slcrc0)
% 113.49/19.54 -> [3271] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3270] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3271] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [3274] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [3274] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [3279] ~aSet0(xA)
% 113.49/19.54 -> [3280] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [3279] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3280] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [3288] ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [3288] BETA_IMPLY : ((aSet0(slcrc0) & isFinite0(slcrc0)) => ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17))))
% 113.49/19.54 -> [3289] ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3290] ! [W117_17] : ((aSubsetOf0(W117_17, slcrc0) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [3289] BETA_NOT_AND : ~(aSet0(slcrc0) & isFinite0(slcrc0))
% 113.49/19.54 -> [3292] ~aSet0(slcrc0)
% 113.49/19.54 -> [3293] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3292] CLOSURE : ~aSet0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3293] CLOSURE : ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [3291] BETA_IMPLY : (aElementOf0(W16_59_10, xA) => aElement0(W16_59_10))
% 113.49/19.54 -> [3432] ~aElementOf0(W16_59_10, xA)
% 113.49/19.54 -> [3433] aElement0(W16_59_10)
% 113.49/19.54
% 113.49/19.54 [3433] CLOSURE : aElement0(W16_59_10)
% 113.49/19.54
% 113.49/19.54 [3437] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [3463] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3464] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [3464] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3467] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [3467] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [3463] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [3504] ~aSet0(xA)
% 113.49/19.54 -> [3505] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [3504] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [3505] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [3510] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [3510] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [3511] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [3511] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [3225] GAMMA_FORALL : ! [W08_8] : ((=(W08_8, slcrc0) <=> (aSet0(W08_8) & ~? [W19_9] : (aElementOf0(W19_9, W08_8)))))
% 113.49/19.54 -> [3227] (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54
% 113.49/19.54 [3227] BETA_EQUIV : (=(slcrc0, slcrc0) <=> (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0))))
% 113.49/19.54 -> [3230] ~=(slcrc0, slcrc0), ~(aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54 -> [3231] =(slcrc0, slcrc0), (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54
% 113.49/19.54 [3230] CLOSURE : ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [3231] ALPHA_AND : (aSet0(slcrc0) & ~? [W19_9] : (aElementOf0(W19_9, slcrc0)))
% 113.49/19.54 -> [3233] aSet0(slcrc0), ~? [W19_9] : (aElementOf0(W19_9, slcrc0))
% 113.49/19.54
% 113.49/19.54 [3233] GAMMA_FORALL : ! [W010_10] : ((aSet0(W010_10) => (isCountable0(W010_10) => $true)))
% 113.49/19.54 -> [3234] (aSet0(xA) => (isCountable0(xA) => $true))
% 113.49/19.54
% 113.49/19.54 [3234] BETA_IMPLY : (aSet0(xA) => (isCountable0(xA) => $true))
% 113.49/19.54 -> [3235] ~aSet0(xA)
% 113.49/19.54 -> [3236] (isCountable0(xA) => $true)
% 113.49/19.54
% 113.49/19.54 [3235] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [3236] BETA_IMPLY : (isCountable0(xA) => $true)
% 113.49/19.54 -> [5737] ~isCountable0(xA)
% 113.49/19.54 -> [5738] $true
% 113.49/19.54
% 113.49/19.54 [5738] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [5755] ((aSet0(W011_22_6) & isCountable0(W011_22_6)) => ~isFinite0(W011_22_6))
% 113.49/19.54
% 113.49/19.54 [5755] BETA_IMPLY : ((aSet0(W011_22_6) & isCountable0(W011_22_6)) => ~isFinite0(W011_22_6))
% 113.49/19.54 -> [5756] ~(aSet0(W011_22_6) & isCountable0(W011_22_6))
% 113.49/19.54 -> [5757] ~isFinite0(W011_22_6)
% 113.49/19.54
% 113.49/19.54 [5757] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5756] BETA_NOT_AND : ~(aSet0(W011_22_6) & isCountable0(W011_22_6))
% 113.49/19.54 -> [5758] ~aSet0(W011_22_6)
% 113.49/19.54 -> [5759] ~isCountable0(W011_22_6)
% 113.49/19.54
% 113.49/19.54 [5758] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5759] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [5765] ((aSet0(W012_34_7) & isCountable0(W012_34_7)) => ~=(W012_34_7, slcrc0))
% 113.49/19.54
% 113.49/19.54 [5765] BETA_IMPLY : ((aSet0(W012_34_7) & isCountable0(W012_34_7)) => ~=(W012_34_7, slcrc0))
% 113.49/19.54 -> [5766] ~(aSet0(W012_34_7) & isCountable0(W012_34_7))
% 113.49/19.54 -> [5767] ~=(W012_34_7, slcrc0)
% 113.49/19.54
% 113.49/19.54 [5767] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5766] BETA_NOT_AND : ~(aSet0(W012_34_7) & isCountable0(W012_34_7))
% 113.49/19.54 -> [5768] ~aSet0(W012_34_7)
% 113.49/19.54 -> [5769] ~isCountable0(W012_34_7)
% 113.49/19.54
% 113.49/19.54 [5768] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5769] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [5770] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [5770] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [5771] ~aSet0(xA)
% 113.49/19.54 -> [5772] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [5771] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5772] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [5773] ((aSet0(W016_90_9) & isFinite0(W016_90_9)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_90_9) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [5773] BETA_IMPLY : ((aSet0(W016_90_9) & isFinite0(W016_90_9)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_90_9) => isFinite0(W117_17))))
% 113.49/19.54 -> [5775] ~(aSet0(W016_90_9) & isFinite0(W016_90_9))
% 113.49/19.54 -> [5776] ! [W117_17] : ((aSubsetOf0(W117_17, W016_90_9) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [5776] GAMMA_FORALL : ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6)))
% 113.49/19.54 -> [5779] (aElementOf0(W04_0_1, xA) => aElement0(W04_0_1))
% 113.49/19.54
% 113.49/19.54 [5779] BETA_IMPLY : (aElementOf0(W04_0_1, xA) => aElement0(W04_0_1))
% 113.49/19.54 -> [5780] ~aElementOf0(W04_0_1, xA)
% 113.49/19.54 -> [5781] aElement0(W04_0_1)
% 113.49/19.54
% 113.49/19.54 [5781] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5802] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [5864] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [5865] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [5865] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [5875] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [5875] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [5864] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [5900] ~aSet0(xA)
% 113.49/19.54 -> [5901] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [5900] CLOSURE : ~aSet0(xA)
% 113.49/19.54
% 113.49/19.54 [5901] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [5902] ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54
% 113.49/19.54 [5902] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515, xA) => aElementOf0(skolem_W21515, xA))
% 113.49/19.54 -> [5903] aElementOf0(skolem_W21515, xA), ~aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [5903] CLOSURE : aElementOf0(skolem_W21515, xA)
% 113.49/19.54
% 113.49/19.54 [5775] BETA_NOT_AND : ~(aSet0(W016_90_9) & isFinite0(W016_90_9))
% 113.49/19.54 -> [5917] ~aSet0(W016_90_9)
% 113.49/19.54 -> [5918] ~isFinite0(W016_90_9)
% 113.49/19.54
% 113.49/19.54 [5918] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5917] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5737] GAMMA_FORALL : ! [W011_11] : (((aSet0(W011_11) & isCountable0(W011_11)) => ~isFinite0(W011_11)))
% 113.49/19.54 -> [5760] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54
% 113.49/19.54 [5760] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~isFinite0(slcrc0))
% 113.49/19.54 -> [5761] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [5762] ~isFinite0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [5762] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [5761] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6589] ~aSet0(slcrc0)
% 113.49/19.54 -> [6590] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6589] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6590] GAMMA_FORALL : ! [W012_12] : (((aSet0(W012_12) & isCountable0(W012_12)) => ~=(W012_12, slcrc0)))
% 113.49/19.54 -> [6595] ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54
% 113.49/19.54 [6595] BETA_IMPLY : ((aSet0(slcrc0) & isCountable0(slcrc0)) => ~=(slcrc0, slcrc0))
% 113.49/19.54 -> [6596] ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6597] ~=(slcrc0, slcrc0)
% 113.49/19.54
% 113.49/19.54 [6597] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6596] BETA_NOT_AND : ~(aSet0(slcrc0) & isCountable0(slcrc0))
% 113.49/19.54 -> [6916] ~aSet0(slcrc0)
% 113.49/19.54 -> [6917] ~isCountable0(slcrc0)
% 113.49/19.54
% 113.49/19.54 [6916] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6917] GAMMA_FORALL : ! [W013_13] : ((aSet0(W013_13) => ! [W114_14] : ((aSubsetOf0(W114_14, W013_13) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, W013_13))))))))
% 113.49/19.54 -> [6918] (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54
% 113.49/19.54 [6918] BETA_IMPLY : (aSet0(xA) => ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA)))))))
% 113.49/19.54 -> [6919] ~aSet0(xA)
% 113.49/19.54 -> [6920] ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54
% 113.49/19.54 [6919] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6920] GAMMA_FORALL : ! [W016_16] : (((aSet0(W016_16) & isFinite0(W016_16)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) => isFinite0(W117_17)))))
% 113.49/19.54 -> [6921] ((aSet0(W016_108_9) & isFinite0(W016_108_9)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_108_9) => isFinite0(W117_17))))
% 113.49/19.54
% 113.49/19.54 [6921] BETA_IMPLY : ((aSet0(W016_108_9) & isFinite0(W016_108_9)) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_108_9) => isFinite0(W117_17))))
% 113.49/19.54 -> [6922] ~(aSet0(W016_108_9) & isFinite0(W016_108_9))
% 113.49/19.54 -> [6923] ! [W117_17] : ((aSubsetOf0(W117_17, W016_108_9) => isFinite0(W117_17)))
% 113.49/19.54
% 113.49/19.54 [6923] GAMMA_FORALL : ! [W16_6] : ((aElementOf0(W16_6, xA) => aElement0(W16_6)))
% 113.49/19.54 -> [6926] (aElementOf0(W16_123_10, xA) => aElement0(W16_123_10))
% 113.49/19.54
% 113.49/19.54 [6926] BETA_IMPLY : (aElementOf0(W16_123_10, xA) => aElement0(W16_123_10))
% 113.49/19.54 -> [6927] ~aElementOf0(W16_123_10, xA)
% 113.49/19.54 -> [6928] aElement0(W16_123_10)
% 113.49/19.54
% 113.49/19.54 [6927] GAMMA_NOT_EXISTS : ~? [W19_9] : (aElementOf0(W19_9, W016_108_9))
% 113.49/19.54 -> [6929] ~aElementOf0(W19_309_11, W016_108_9)
% 113.49/19.54
% 113.49/19.54 [6929] GAMMA_FORALL : ! [W114_14] : ((aSubsetOf0(W114_14, xA) <=> (aSet0(W114_14) & ! [W215_15] : ((aElementOf0(W215_15, W114_14) => aElementOf0(W215_15, xA))))))
% 113.49/19.54 -> [6930] (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54
% 113.49/19.54 [6930] BETA_EQUIV : (aSubsetOf0(xA, xA) <=> (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))))
% 113.49/19.54 -> [6931] ~aSubsetOf0(xA, xA), ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6932] aSubsetOf0(xA, xA), (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6932] ALPHA_AND : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6937] aSet0(xA), ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6937] CLOSURE : (aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54
% 113.49/19.54 [6931] BETA_NOT_AND : ~(aSet0(xA) & ! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA))))
% 113.49/19.54 -> [6933] ~aSet0(xA)
% 113.49/19.54 -> [6934] ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54
% 113.49/19.54 [6934] DELTA_NOT_FORALL : ~! [W215_15] : ((aElementOf0(W215_15, xA) => aElementOf0(W215_15, xA)))
% 113.49/19.54 -> [6935] ~(aElementOf0(skolem_W21515(xA, xA), xA) => aElementOf0(skolem_W21515(xA, xA), xA))
% 113.49/19.54
% 113.49/19.54 [6935] ALPHA_NOT_IMPLY : ~(aElementOf0(skolem_W21515(xA, xA), xA) => aElementOf0(skolem_W21515(xA, xA), xA))
% 113.49/19.54 -> [6936] aElementOf0(skolem_W21515(xA, xA), xA), ~aElementOf0(skolem_W21515(xA, xA), xA)
% 113.49/19.54
% 113.49/19.54 [6936] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6933] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6928] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6922] BETA_NOT_AND : ~(aSet0(W016_108_9) & isFinite0(W016_108_9))
% 113.49/19.54 -> [6938] ~aSet0(W016_108_9)
% 113.49/19.54 -> [6939] ~isFinite0(W016_108_9)
% 113.49/19.54
% 113.49/19.54 [6939] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 [6938] CLOSURE : =
% 113.49/19.54
% 113.49/19.54 % SZS output end Proof for theBenchmark.p
% 113.49/19.54 [19.188059s][1][Res] 197985 goroutines created
% 113.49/19.54 ==== Result ====
% 113.49/19.54 [19.188104s][1][Res] VALID
% 113.49/19.54 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------