%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, a: $tType).
thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_3, type, sP0: (a > a > (a > a > $o) > (a > a > $o) > $o)).
thf(func_def_4, type, sP1: (a > (a > a > $o) > (a > a > $o) > a > $o)).
thf(func_def_5, type, sP2: (a > a > (a > a > $o) > $o)).
thf(func_def_6, type, sP3: ((a > a > $o) > a > (a > a > $o) > a > $o)).
thf(func_def_7, type, sP4: ((a > a > $o) > (a > a > $o) > $o)).
thf(func_def_8, type, sP5: (a > a > (a > a > $o) > (a > a > $o) > $o)).
thf(func_def_9, type, sK6: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_10, type, sK7: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_11, type, sK8: ((a > $o) > a > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_12, type, sK9: ((a > a > $o) > (a > a > $o) > a)).
thf(func_def_13, type, sK10: ((a > a > $o) > (a > a > $o) > a)).
thf(func_def_14, type, sK11: ((a > a > $o) > (a > a > $o) > a)).
thf(func_def_15, type, sK12: ((a > a > $o) > (a > a > $o) > a > $o)).
thf(func_def_16, type, sK13: ((a > $o) > (a > a > $o) > a > a)).
thf(func_def_17, type, sK14: ((a > $o) > (a > a > $o) > a)).
thf(func_def_18, type, sK15: ((a > $o) > (a > a > $o) > a)).
thf(func_def_19, type, sK16: ((a > $o) > (a > a > $o) > a)).
thf(func_def_20, type, sK17: ((a > $o) > (a > a > $o) > a)).
thf(func_def_21, type, sK18: ((a > $o) > a > (a > a > $o) > a)).
thf(func_def_22, type, sK19: ((a > $o) > (a > a > $o) > (a > a > $o) > a > a)).
thf(func_def_23, type, sK20: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_24, type, sK21: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_25, type, sK22: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_26, type, sK23: ((a > $o) > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_27, type, sK24: ((a > $o) > a > (a > a > $o) > (a > a > $o) > a)).
thf(func_def_28, type, sK25: (a > a > $o)).
thf(func_def_29, type, sK26: (a > a > $o)).
thf(func_def_30, type, sK27: a).
thf(func_def_31, type, sK28: a).
thf(func_def_32, type, sK29: a).
thf(func_def_33, type, sK30: a).
thf(func_def_34, type, sK31: (a > $o)).
thf(func_def_35, type, sK32: (a > $o)).
thf(func_def_36, type, sF33: $o).
thf(func_def_37, type, sF34: $o).
thf(func_def_38, type, sF35: $o).
thf(func_def_39, type, sF36: $o).
thf(func_def_40, type, sF37: $o).
thf(func_def_42, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_43, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_44, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(f1,conjecture,(
  ! [X3 : a,X2 : a,X1 : (a > a > $o),X0 : (a > a > $o)] : ((~ ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)) & ! [X9 : a,X8 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) & ! [X10 : a,X8 : a,X9 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a] : (((X1 @ X9 @ X5) | (X0 @ X9 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)))) | ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251H_pme)).
thf(f2,negated_conjecture,(
  ~ ! [X3 : a,X2 : a,X1 : (a > a > $o),X0 : (a > a > $o)] : ((~ ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)) & ! [X9 : a,X8 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : (((X1 @ X6 @ X7) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7)) & ! [X5 : a] : (((X1 @ X8 @ X5) | (X0 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) & ! [X10 : a,X8 : a,X9 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a] : (((X1 @ X9 @ X5) | (X0 @ X9 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)))) | ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X3)))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~ ! [X0 : a,X1 : a,X2 : (a > a > $o),X3 : (a > a > $o)] : ((~ ! [X4 : (a > $o)] : ((! [X5 : a] : (((X3 @ X1 @ X5) | (X2 @ X1 @ X5)) => (X4 @ X5)) & ! [X6 : a,X7 : a] : (((X4 @ X6) & ((X3 @ X6 @ X7) | (X2 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X0)) & ! [X8 : a,X9 : a] : ((! [X10 : (a > $o)] : ((! [X11 : a] : ((X3 @ X9 @ X11) => (X10 @ X11)) & ! [X12 : a,X13 : a] : (((X10 @ X12) & (X3 @ X12 @ X13)) => (X10 @ X13))) => (X10 @ X8)) | ! [X14 : (a > $o)] : ((! [X15 : a,X16 : a] : (((X2 @ X15 @ X16) & (X14 @ X15)) => (X14 @ X16)) & ! [X17 : a] : ((X2 @ X9 @ X17) => (X14 @ X17))) => (X14 @ X8))) => ! [X18 : (a > $o)] : ((! [X19 : a,X20 : a] : (((X18 @ X19) & ((X3 @ X19 @ X20) | (X2 @ X19 @ X20))) => (X18 @ X20)) & ! [X21 : a] : (((X2 @ X9 @ X21) | (X3 @ X9 @ X21)) => (X18 @ X21))) => (X18 @ X8))) & ! [X22 : a,X23 : a,X24 : a] : ((! [X25 : (a > $o)] : ((! [X26 : a] : (((X2 @ X24 @ X26) | (X3 @ X24 @ X26)) => (X25 @ X26)) & ! [X27 : a,X28 : a] : (((X25 @ X28) & ((X2 @ X28 @ X27) | (X3 @ X28 @ X27))) => (X25 @ X27))) => (X25 @ X22)) & ! [X29 : (a > $o)] : ((! [X30 : a,X31 : a] : ((((X2 @ X30 @ X31) | (X3 @ X30 @ X31)) & (X29 @ X30)) => (X29 @ X31)) & ! [X32 : a] : (((X3 @ X23 @ X32) | (X2 @ X23 @ X32)) => (X29 @ X32))) => (X29 @ X24))) => ! [X33 : (a > $o)] : ((! [X34 : a] : (((X3 @ X23 @ X34) | (X2 @ X23 @ X34)) => (X33 @ X34)) & ! [X35 : a,X36 : a] : (((X33 @ X36) & ((X2 @ X36 @ X35) | (X3 @ X36 @ X35))) => (X33 @ X35))) => (X33 @ X22)))) | ! [X37 : (a > $o)] : ((! [X38 : a] : (((X3 @ X1 @ X38) | (X2 @ X1 @ X38)) => (X37 @ X38)) & ! [X39 : a,X40 : a] : (((X37 @ X39) & ((X3 @ X39 @ X40) | (X2 @ X39 @ X40))) => (X37 @ X40))) => (X37 @ X0)))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~ ! [X3 : (a > a > $o),X1 : a,X0 : a,X2 : (a > a > $o)] : (! [X37 : (a > $o)] : ((! [X38 : a] : (((((X2 @ X1 @ X38)) = $true) | (((X3 @ X1 @ X38)) = $true)) => (((X37 @ X38)) = $true)) & ! [X40 : a,X39 : a] : (((((X37 @ X39)) = $true) & ((((X3 @ X39 @ X40)) = $true) | ($true = ((X2 @ X39 @ X40))))) => (((X37 @ X40)) = $true))) => (((X37 @ X0)) = $true)) | (! [X24 : a,X22 : a,X23 : a] : ((! [X29 : (a > $o)] : ((! [X32 : a] : (((((X3 @ X23 @ X32)) = $true) | ($true = ((X2 @ X23 @ X32)))) => (((X29 @ X32)) = $true)) & ! [X31 : a,X30 : a] : ((((((X3 @ X30 @ X31)) = $true) | ($true = ((X2 @ X30 @ X31)))) & ($true = ((X29 @ X30)))) => (((X29 @ X31)) = $true))) => (((X29 @ X24)) = $true)) & ! [X25 : (a > $o)] : ((! [X27 : a,X28 : a] : ((($true = ((X25 @ X28))) & (($true = ((X2 @ X28 @ X27))) | (((X3 @ X28 @ X27)) = $true))) => (((X25 @ X27)) = $true)) & ! [X26 : a] : ((($true = ((X3 @ X24 @ X26))) | (((X2 @ X24 @ X26)) = $true)) => (((X25 @ X26)) = $true))) => ($true = ((X25 @ X22))))) => ! [X33 : (a > $o)] : ((! [X34 : a] : ((($true = ((X3 @ X23 @ X34))) | (((X2 @ X23 @ X34)) = $true)) => ($true = ((X33 @ X34)))) & ! [X35 : a,X36 : a] : ((((((X2 @ X36 @ X35)) = $true) | (((X3 @ X36 @ X35)) = $true)) & (((X33 @ X36)) = $true)) => (((X33 @ X35)) = $true))) => ($true = ((X33 @ X22))))) & ! [X9 : a,X8 : a] : ((! [X14 : (a > $o)] : ((! [X15 : a,X16 : a] : (((((X2 @ X15 @ X16)) = $true) & (((X14 @ X15)) = $true)) => (((X14 @ X16)) = $true)) & ! [X17 : a] : ((((X2 @ X9 @ X17)) = $true) => (((X14 @ X17)) = $true))) => ($true = ((X14 @ X8)))) | ! [X10 : (a > $o)] : ((! [X13 : a,X12 : a] : ((($true = ((X10 @ X12))) & (((X3 @ X12 @ X13)) = $true)) => ($true = ((X10 @ X13)))) & ! [X11 : a] : (($true = ((X3 @ X9 @ X11))) => (((X10 @ X11)) = $true))) => (((X10 @ X8)) = $true))) => ! [X18 : (a > $o)] : ((! [X19 : a,X20 : a] : ((((((X3 @ X19 @ X20)) = $true) | ($true = ((X2 @ X19 @ X20)))) & (((X18 @ X19)) = $true)) => (((X18 @ X20)) = $true)) & ! [X21 : a] : (((((X3 @ X9 @ X21)) = $true) | (((X2 @ X9 @ X21)) = $true)) => (((X18 @ X21)) = $true))) => ($true = ((X18 @ X8))))) & ~ ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : (((($true = ((X3 @ X6 @ X7))) | (((X2 @ X6 @ X7)) = $true)) & (((X4 @ X6)) = $true)) => (((X4 @ X7)) = $true)) & ! [X5 : a] : (((((X2 @ X1 @ X5)) = $true) | ($true = ((X3 @ X1 @ X5)))) => (((X4 @ X5)) = $true))) => ($true = ((X4 @ X0))))))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ? [X3 : (a > a > $o),X1 : a,X0 : a,X2 : (a > a > $o)] : (? [X37 : (a > $o)] : ((((X37 @ X0)) != $true) & (! [X38 : a] : (((((X3 @ X1 @ X38)) != $true) & (((X2 @ X1 @ X38)) != $true)) | (((X37 @ X38)) = $true)) & ! [X40 : a,X39 : a] : ((((X37 @ X40)) = $true) | ((((X37 @ X39)) != $true) | ((((X3 @ X39 @ X40)) != $true) & ($true != ((X2 @ X39 @ X40)))))))) & (? [X24 : a,X22 : a,X23 : a] : (? [X33 : (a > $o)] : (($true != ((X33 @ X22))) & (! [X34 : a] : (($true = ((X33 @ X34))) | (($true != ((X3 @ X23 @ X34))) & (((X2 @ X23 @ X34)) != $true))) & ! [X35 : a,X36 : a] : ((((X33 @ X35)) = $true) | (((((X3 @ X36 @ X35)) != $true) & (((X2 @ X36 @ X35)) != $true)) | (((X33 @ X36)) != $true))))) & (! [X29 : (a > $o)] : ((((X29 @ X24)) = $true) | (? [X32 : a] : ((((X29 @ X32)) != $true) & ((((X3 @ X23 @ X32)) = $true) | ($true = ((X2 @ X23 @ X32))))) | ? [X31 : a,X30 : a] : ((((X29 @ X31)) != $true) & (((((X3 @ X30 @ X31)) = $true) | ($true = ((X2 @ X30 @ X31)))) & ($true = ((X29 @ X30))))))) & ! [X25 : (a > $o)] : (($true = ((X25 @ X22))) | (? [X27 : a,X28 : a] : ((((X25 @ X27)) != $true) & (($true = ((X25 @ X28))) & (($true = ((X2 @ X28 @ X27))) | (((X3 @ X28 @ X27)) = $true)))) | ? [X26 : a] : ((((X25 @ X26)) != $true) & (($true = ((X3 @ X24 @ X26))) | (((X2 @ X24 @ X26)) = $true))))))) | ? [X9 : a,X8 : a] : (? [X18 : (a > $o)] : (($true != ((X18 @ X8))) & (! [X19 : a,X20 : a] : ((((X18 @ X20)) = $true) | (((((X3 @ X19 @ X20)) != $true) & ($true != ((X2 @ X19 @ X20)))) | (((X18 @ X19)) != $true))) & ! [X21 : a] : ((((X18 @ X21)) = $true) | ((((X2 @ X9 @ X21)) != $true) & (((X3 @ X9 @ X21)) != $true))))) & (! [X14 : (a > $o)] : (($true = ((X14 @ X8))) | (? [X15 : a,X16 : a] : ((((X14 @ X16)) != $true) & ((((X2 @ X15 @ X16)) = $true) & (((X14 @ X15)) = $true))) | ? [X17 : a] : ((((X14 @ X17)) != $true) & (((X2 @ X9 @ X17)) = $true)))) | ! [X10 : (a > $o)] : ((((X10 @ X8)) = $true) | (? [X13 : a,X12 : a] : (($true != ((X10 @ X13))) & (($true = ((X10 @ X12))) & (((X3 @ X12 @ X13)) = $true))) | ? [X11 : a] : ((((X10 @ X11)) != $true) & ($true = ((X3 @ X9 @ X11)))))))) | ! [X4 : (a > $o)] : (($true = ((X4 @ X0))) | (? [X6 : a,X7 : a] : ((((X4 @ X7)) != $true) & ((($true = ((X3 @ X6 @ X7))) | (((X2 @ X6 @ X7)) = $true)) & (((X4 @ X6)) = $true))) | ? [X5 : a] : (((((X2 @ X1 @ X5)) = $true) | ($true = ((X3 @ X1 @ X5)))) & (((X4 @ X5)) != $true))))))),
  inference(ennf_transformation,[],[f4])).
thf(f6,plain,(
  ? [X3 : (a > a > $o),X2 : (a > a > $o),X0 : a,X1 : a] : ((? [X9 : a,X8 : a] : (? [X18 : (a > $o)] : (($true != ((X18 @ X8))) & ! [X21 : a] : ((((X18 @ X21)) = $true) | ((((X2 @ X9 @ X21)) != $true) & (((X3 @ X9 @ X21)) != $true))) & ! [X19 : a,X20 : a] : (((((X3 @ X19 @ X20)) != $true) & ($true != ((X2 @ X19 @ X20)))) | (((X18 @ X20)) = $true) | (((X18 @ X19)) != $true))) & (! [X10 : (a > $o)] : (? [X11 : a] : ((((X10 @ X11)) != $true) & ($true = ((X3 @ X9 @ X11)))) | (((X10 @ X8)) = $true) | ? [X13 : a,X12 : a] : (($true != ((X10 @ X13))) & ($true = ((X10 @ X12))) & (((X3 @ X12 @ X13)) = $true))) | ! [X14 : (a > $o)] : (? [X15 : a,X16 : a] : ((((X2 @ X15 @ X16)) = $true) & (((X14 @ X15)) = $true) & (((X14 @ X16)) != $true)) | ? [X17 : a] : ((((X14 @ X17)) != $true) & (((X2 @ X9 @ X17)) = $true)) | ($true = ((X14 @ X8)))))) | ! [X4 : (a > $o)] : (? [X7 : a,X6 : a] : ((((X4 @ X7)) != $true) & (($true = ((X3 @ X6 @ X7))) | (((X2 @ X6 @ X7)) = $true)) & (((X4 @ X6)) = $true)) | ? [X5 : a] : (((((X2 @ X1 @ X5)) = $true) | ($true = ((X3 @ X1 @ X5)))) & (((X4 @ X5)) != $true)) | ($true = ((X4 @ X0)))) | ? [X24 : a,X22 : a,X23 : a] : (! [X25 : (a > $o)] : (? [X26 : a] : ((((X25 @ X26)) != $true) & (($true = ((X3 @ X24 @ X26))) | (((X2 @ X24 @ X26)) = $true))) | ($true = ((X25 @ X22))) | ? [X27 : a,X28 : a] : ((($true = ((X2 @ X28 @ X27))) | (((X3 @ X28 @ X27)) = $true)) & ($true = ((X25 @ X28))) & (((X25 @ X27)) != $true))) & ! [X29 : (a > $o)] : (? [X30 : a,X31 : a] : (($true = ((X29 @ X30))) & ((((X3 @ X30 @ X31)) = $true) | ($true = ((X2 @ X30 @ X31)))) & (((X29 @ X31)) != $true)) | ? [X32 : a] : ((((X29 @ X32)) != $true) & ((((X3 @ X23 @ X32)) = $true) | ($true = ((X2 @ X23 @ X32))))) | (((X29 @ X24)) = $true)) & ? [X33 : (a > $o)] : (! [X34 : a] : (($true = ((X33 @ X34))) | (($true != ((X3 @ X23 @ X34))) & (((X2 @ X23 @ X34)) != $true))) & ($true != ((X33 @ X22))) & ! [X36 : a,X35 : a] : ((((X33 @ X36)) != $true) | ((((X3 @ X36 @ X35)) != $true) & (((X2 @ X36 @ X35)) != $true)) | (((X33 @ X35)) = $true))))) & ? [X37 : (a > $o)] : ((((X37 @ X0)) != $true) & ! [X38 : a] : (((((X3 @ X1 @ X38)) != $true) & (((X2 @ X1 @ X38)) != $true)) | (((X37 @ X38)) = $true)) & ! [X39 : a,X40 : a] : ((((X37 @ X40)) = $true) | ((((X3 @ X39 @ X40)) != $true) & ($true != ((X2 @ X39 @ X40)))) | (((X37 @ X39)) != $true))))),
  inference(flattening,[],[f5])).
thf(f7,definition,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o),X23 : a,X24 : a] : (! [X29 : (a > $o)] : (? [X30 : a,X31 : a] : (($true = ((X29 @ X30))) & ((((X3 @ X30 @ X31)) = $true) | ($true = ((X2 @ X30 @ X31)))) & (((X29 @ X31)) != $true)) | ? [X32 : a] : ((((X29 @ X32)) != $true) & ((((X3 @ X23 @ X32)) = $true) | ($true = ((X2 @ X23 @ X32))))) | (((X29 @ X24)) = $true)) | ~ ($true = ((sP0 @ X24 @ X23 @ X2 @ X3))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f8,definition,(
  ! [X24 : a,X3 : (a > a > $o),X2 : (a > a > $o),X22 : a] : (! [X25 : (a > $o)] : (? [X26 : a] : ((((X25 @ X26)) != $true) & (($true = ((X3 @ X24 @ X26))) | (((X2 @ X24 @ X26)) = $true))) | ($true = ((X25 @ X22))) | ? [X27 : a,X28 : a] : ((($true = ((X2 @ X28 @ X27))) | (((X3 @ X28 @ X27)) = $true)) & ($true = ((X25 @ X28))) & (((X25 @ X27)) != $true))) | ~ (((sP1 @ X22 @ X2 @ X3 @ X24)) = $true))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f9,definition,(
  ! [X2 : (a > a > $o),X9 : a,X8 : a] : (! [X14 : (a > $o)] : (? [X15 : a,X16 : a] : ((((X2 @ X15 @ X16)) = $true) & (((X14 @ X15)) = $true) & (((X14 @ X16)) != $true)) | ? [X17 : a] : ((((X14 @ X17)) != $true) & (((X2 @ X9 @ X17)) = $true)) | ($true = ((X14 @ X8)))) | ~ ($true = ((sP2 @ X8 @ X9 @ X2))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f10,definition,(
  ! [X9 : a,X3 : (a > a > $o),X8 : a,X2 : (a > a > $o)] : (! [X10 : (a > $o)] : (? [X11 : a] : ((((X10 @ X11)) != $true) & ($true = ((X3 @ X9 @ X11)))) | (((X10 @ X8)) = $true) | ? [X13 : a,X12 : a] : (($true != ((X10 @ X13))) & ($true = ((X10 @ X12))) & (((X3 @ X12 @ X13)) = $true))) | ($true = ((sP2 @ X8 @ X9 @ X2))) | ~ ($true = ((sP3 @ X2 @ X8 @ X3 @ X9))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f11,definition,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o)] : (? [X24 : a,X22 : a,X23 : a] : ((((sP1 @ X22 @ X2 @ X3 @ X24)) = $true) & ($true = ((sP0 @ X24 @ X23 @ X2 @ X3))) & ? [X33 : (a > $o)] : (! [X34 : a] : (($true = ((X33 @ X34))) | (($true != ((X3 @ X23 @ X34))) & (((X2 @ X23 @ X34)) != $true))) & ($true != ((X33 @ X22))) & ! [X36 : a,X35 : a] : ((((X33 @ X36)) != $true) | ((((X3 @ X36 @ X35)) != $true) & (((X2 @ X36 @ X35)) != $true)) | (((X33 @ X35)) = $true)))) | ~ (((sP4 @ X2 @ X3)) = $true))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f12,definition,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o),X1 : a,X0 : a] : (! [X4 : (a > $o)] : (? [X7 : a,X6 : a] : ((((X4 @ X7)) != $true) & (($true = ((X3 @ X6 @ X7))) | (((X2 @ X6 @ X7)) = $true)) & (((X4 @ X6)) = $true)) | ? [X5 : a] : (((((X2 @ X1 @ X5)) = $true) | ($true = ((X3 @ X1 @ X5)))) & (((X4 @ X5)) != $true)) | ($true = ((X4 @ X0)))) | ~ ($true = ((sP5 @ X0 @ X1 @ X2 @ X3))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f13,plain,(
  ? [X3 : (a > a > $o),X2 : (a > a > $o),X0 : a,X1 : a] : ((? [X9 : a,X8 : a] : (? [X18 : (a > $o)] : (($true != ((X18 @ X8))) & ! [X21 : a] : ((((X18 @ X21)) = $true) | ((((X2 @ X9 @ X21)) != $true) & (((X3 @ X9 @ X21)) != $true))) & ! [X19 : a,X20 : a] : (((((X3 @ X19 @ X20)) != $true) & ($true != ((X2 @ X19 @ X20)))) | (((X18 @ X20)) = $true) | (((X18 @ X19)) != $true))) & ($true = ((sP3 @ X2 @ X8 @ X3 @ X9)))) | ($true = ((sP5 @ X0 @ X1 @ X2 @ X3))) | (((sP4 @ X2 @ X3)) = $true)) & ? [X37 : (a > $o)] : ((((X37 @ X0)) != $true) & ! [X38 : a] : (((((X3 @ X1 @ X38)) != $true) & (((X2 @ X1 @ X38)) != $true)) | (((X37 @ X38)) = $true)) & ! [X39 : a,X40 : a] : ((((X37 @ X40)) = $true) | ((((X3 @ X39 @ X40)) != $true) & ($true != ((X2 @ X39 @ X40)))) | (((X37 @ X39)) != $true))))),
  inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7])).
thf(f14,plain,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o),X1 : a,X0 : a] : (! [X4 : (a > $o)] : (? [X7 : a,X6 : a] : ((((X4 @ X7)) != $true) & (($true = ((X3 @ X6 @ X7))) | (((X2 @ X6 @ X7)) = $true)) & (((X4 @ X6)) = $true)) | ? [X5 : a] : (((((X2 @ X1 @ X5)) = $true) | ($true = ((X3 @ X1 @ X5)))) & (((X4 @ X5)) != $true)) | ($true = ((X4 @ X0)))) | ($true != ((sP5 @ X0 @ X1 @ X2 @ X3))))),
  inference(nnf_transformation,[],[f12])).
thf(f15,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o),X2 : a,X3 : a] : (! [X4 : (a > $o)] : (? [X5 : a,X6 : a] : ((((X4 @ X5)) != $true) & ((((X0 @ X6 @ X5)) = $true) | ($true = ((X1 @ X6 @ X5)))) & (((X4 @ X6)) = $true)) | ? [X7 : a] : (((((X1 @ X2 @ X7)) = $true) | (((X0 @ X2 @ X7)) = $true)) & (((X4 @ X7)) != $true)) | (((X4 @ X3)) = $true)) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f14])).
thf(f16,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o),X2 : a,X3 : a] : (! [X4 : (a > $o)] : (((((X4 @ (sK6 @ X4 @ X1 @ X0))) != $true) & (($true = ((X0 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0)))) | ($true = ((X1 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0))))) & (((X4 @ (sK7 @ X4 @ X1 @ X0))) = $true)) | (((((X1 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0))) = $true) | ($true = ((X0 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0))))) & (((X4 @ (sK8 @ X4 @ X2 @ X1 @ X0))) != $true)) | (((X4 @ X3)) = $true)) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f15])).
thf(f17,plain,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o)] : (? [X24 : a,X22 : a,X23 : a] : ((((sP1 @ X22 @ X2 @ X3 @ X24)) = $true) & ($true = ((sP0 @ X24 @ X23 @ X2 @ X3))) & ? [X33 : (a > $o)] : (! [X34 : a] : (($true = ((X33 @ X34))) | (($true != ((X3 @ X23 @ X34))) & (((X2 @ X23 @ X34)) != $true))) & ($true != ((X33 @ X22))) & ! [X36 : a,X35 : a] : ((((X33 @ X36)) != $true) | ((((X3 @ X36 @ X35)) != $true) & (((X2 @ X36 @ X35)) != $true)) | (((X33 @ X35)) = $true)))) | (((sP4 @ X2 @ X3)) != $true))),
  inference(nnf_transformation,[],[f11])).
thf(f18,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (? [X2 : a,X3 : a,X4 : a] : ((((sP1 @ X3 @ X1 @ X0 @ X2)) = $true) & ($true = ((sP0 @ X2 @ X4 @ X1 @ X0))) & ? [X5 : (a > $o)] : (! [X6 : a] : (($true = ((X5 @ X6))) | (($true != ((X0 @ X4 @ X6))) & ($true != ((X1 @ X4 @ X6))))) & (((X5 @ X3)) != $true) & ! [X7 : a,X8 : a] : (($true != ((X5 @ X7))) | (($true != ((X0 @ X7 @ X8))) & (((X1 @ X7 @ X8)) != $true)) | (((X5 @ X8)) = $true)))) | (((sP4 @ X1 @ X0)) != $true))),
  inference(rectify,[],[f17])).
thf(f19,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((($true = ((sP1 @ (sK10 @ X1 @ X0) @ X1 @ X0 @ (sK9 @ X1 @ X0)))) & ($true = ((sP0 @ (sK9 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ X1 @ X0))) & (! [X6 : a] : ((((sK12 @ X1 @ X0 @ X6)) = $true) | ((((X0 @ (sK11 @ X1 @ X0) @ X6)) != $true) & (((X1 @ (sK11 @ X1 @ X0) @ X6)) != $true))) & (((sK12 @ X1 @ X0 @ (sK10 @ X1 @ X0))) != $true) & ! [X7 : a,X8 : a] : ((((sK12 @ X1 @ X0 @ X7)) != $true) | (($true != ((X0 @ X7 @ X8))) & (((X1 @ X7 @ X8)) != $true)) | (((sK12 @ X1 @ X0 @ X8)) = $true)))) | (((sP4 @ X1 @ X0)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f18])).
thf(f20,plain,(
  ! [X9 : a,X3 : (a > a > $o),X8 : a,X2 : (a > a > $o)] : (! [X10 : (a > $o)] : (? [X11 : a] : ((((X10 @ X11)) != $true) & ($true = ((X3 @ X9 @ X11)))) | (((X10 @ X8)) = $true) | ? [X13 : a,X12 : a] : (($true != ((X10 @ X13))) & ($true = ((X10 @ X12))) & (((X3 @ X12 @ X13)) = $true))) | ($true = ((sP2 @ X8 @ X9 @ X2))) | ($true != ((sP3 @ X2 @ X8 @ X3 @ X9))))),
  inference(nnf_transformation,[],[f10])).
thf(f21,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : a,X3 : (a > a > $o)] : (! [X4 : (a > $o)] : (? [X5 : a] : ((((X4 @ X5)) != $true) & ($true = ((X1 @ X0 @ X5)))) | (((X4 @ X2)) = $true) | ? [X6 : a,X7 : a] : ((((X4 @ X6)) != $true) & (((X4 @ X7)) = $true) & (((X1 @ X7 @ X6)) = $true))) | ($true = ((sP2 @ X2 @ X0 @ X3))) | ($true != ((sP3 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f20])).
thf(f22,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : a,X3 : (a > a > $o)] : (! [X4 : (a > $o)] : (((((X4 @ (sK13 @ X4 @ X1 @ X0))) != $true) & ($true = ((X1 @ X0 @ (sK13 @ X4 @ X1 @ X0))))) | (((X4 @ X2)) = $true) | ((((X4 @ (sK14 @ X4 @ X1))) != $true) & (((X4 @ (sK15 @ X4 @ X1))) = $true) & ($true = ((X1 @ (sK15 @ X4 @ X1) @ (sK14 @ X4 @ X1)))))) | ($true = ((sP2 @ X2 @ X0 @ X3))) | ($true != ((sP3 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f21])).
thf(f23,plain,(
  ! [X2 : (a > a > $o),X9 : a,X8 : a] : (! [X14 : (a > $o)] : (? [X15 : a,X16 : a] : ((((X2 @ X15 @ X16)) = $true) & (((X14 @ X15)) = $true) & (((X14 @ X16)) != $true)) | ? [X17 : a] : ((((X14 @ X17)) != $true) & (((X2 @ X9 @ X17)) = $true)) | ($true = ((X14 @ X8)))) | ($true != ((sP2 @ X8 @ X9 @ X2))))),
  inference(nnf_transformation,[],[f9])).
thf(f24,plain,(
  ! [X0 : (a > a > $o),X1 : a,X2 : a] : (! [X3 : (a > $o)] : (? [X4 : a,X5 : a] : (($true = ((X0 @ X4 @ X5))) & (((X3 @ X4)) = $true) & (((X3 @ X5)) != $true)) | ? [X6 : a] : ((((X3 @ X6)) != $true) & (((X0 @ X1 @ X6)) = $true)) | ($true = ((X3 @ X2)))) | ($true != ((sP2 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f23])).
thf(f25,plain,(
  ! [X0 : (a > a > $o),X1 : a,X2 : a] : (! [X3 : (a > $o)] : ((($true = ((X0 @ (sK16 @ X3 @ X0) @ (sK17 @ X3 @ X0)))) & (((X3 @ (sK16 @ X3 @ X0))) = $true) & (((X3 @ (sK17 @ X3 @ X0))) != $true)) | (($true != ((X3 @ (sK18 @ X3 @ X1 @ X0)))) & (((X0 @ X1 @ (sK18 @ X3 @ X1 @ X0))) = $true)) | ($true = ((X3 @ X2)))) | ($true != ((sP2 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f24])).
thf(f26,plain,(
  ! [X24 : a,X3 : (a > a > $o),X2 : (a > a > $o),X22 : a] : (! [X25 : (a > $o)] : (? [X26 : a] : ((((X25 @ X26)) != $true) & (($true = ((X3 @ X24 @ X26))) | (((X2 @ X24 @ X26)) = $true))) | ($true = ((X25 @ X22))) | ? [X27 : a,X28 : a] : ((($true = ((X2 @ X28 @ X27))) | (((X3 @ X28 @ X27)) = $true)) & ($true = ((X25 @ X28))) & (((X25 @ X27)) != $true))) | (((sP1 @ X22 @ X2 @ X3 @ X24)) != $true))),
  inference(nnf_transformation,[],[f8])).
thf(f27,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (? [X5 : a] : ((((X4 @ X5)) != $true) & (($true = ((X1 @ X0 @ X5))) | ($true = ((X2 @ X0 @ X5))))) | (((X4 @ X3)) = $true) | ? [X6 : a,X7 : a] : (((((X2 @ X7 @ X6)) = $true) | (((X1 @ X7 @ X6)) = $true)) & (((X4 @ X7)) = $true) & (((X4 @ X6)) != $true))) | (((sP1 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(rectify,[],[f26])).
thf(f28,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) & ((((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))) = $true) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))))) | (((X4 @ X3)) = $true) | (((((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))) = $true) | ($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))))) & (((X4 @ (sK21 @ X4 @ X2 @ X1))) = $true) & (((X4 @ (sK20 @ X4 @ X2 @ X1))) != $true))) | (((sP1 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f27])).
thf(f29,plain,(
  ! [X3 : (a > a > $o),X2 : (a > a > $o),X23 : a,X24 : a] : (! [X29 : (a > $o)] : (? [X30 : a,X31 : a] : (($true = ((X29 @ X30))) & ((((X3 @ X30 @ X31)) = $true) | ($true = ((X2 @ X30 @ X31)))) & (((X29 @ X31)) != $true)) | ? [X32 : a] : ((((X29 @ X32)) != $true) & ((((X3 @ X23 @ X32)) = $true) | ($true = ((X2 @ X23 @ X32))))) | (((X29 @ X24)) = $true)) | ($true != ((sP0 @ X24 @ X23 @ X2 @ X3))))),
  inference(nnf_transformation,[],[f7])).
thf(f30,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o),X2 : a,X3 : a] : (! [X4 : (a > $o)] : (? [X5 : a,X6 : a] : ((((X4 @ X5)) = $true) & ((((X0 @ X5 @ X6)) = $true) | ($true = ((X1 @ X5 @ X6)))) & (((X4 @ X6)) != $true)) | ? [X7 : a] : ((((X4 @ X7)) != $true) & ((((X0 @ X2 @ X7)) = $true) | (((X1 @ X2 @ X7)) = $true))) | (((X4 @ X3)) = $true)) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(rectify,[],[f29])).
thf(f31,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o),X2 : a,X3 : a] : (! [X4 : (a > $o)] : ((($true = ((X4 @ (sK22 @ X4 @ X1 @ X0)))) & ((((X0 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true) | (((X1 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true)) & (((X4 @ (sK23 @ X4 @ X1 @ X0))) != $true)) | ((((X4 @ (sK24 @ X4 @ X2 @ X1 @ X0))) != $true) & ((((X0 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X1 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true))) | (((X4 @ X3)) = $true)) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1 @ X0))],[f30])).
thf(f32,plain,(
  ? [X0 : (a > a > $o),X1 : (a > a > $o),X2 : a,X3 : a] : ((? [X4 : a,X5 : a] : (? [X6 : (a > $o)] : ((((X6 @ X5)) != $true) & ! [X7 : a] : ((((X6 @ X7)) = $true) | ((((X1 @ X4 @ X7)) != $true) & (((X0 @ X4 @ X7)) != $true))) & ! [X8 : a,X9 : a] : (((((X0 @ X8 @ X9)) != $true) & (((X1 @ X8 @ X9)) != $true)) | (((X6 @ X9)) = $true) | (((X6 @ X8)) != $true))) & (((sP3 @ X1 @ X5 @ X0 @ X4)) = $true)) | ($true = ((sP5 @ X2 @ X3 @ X1 @ X0))) | (((sP4 @ X1 @ X0)) = $true)) & ? [X10 : (a > $o)] : ((((X10 @ X2)) != $true) & ! [X11 : a] : ((($true != ((X0 @ X3 @ X11))) & (((X1 @ X3 @ X11)) != $true)) | (((X10 @ X11)) = $true)) & ! [X12 : a,X13 : a] : (($true = ((X10 @ X13))) | ((((X0 @ X12 @ X13)) != $true) & (((X1 @ X12 @ X13)) != $true)) | ($true != ((X10 @ X12))))))),
  inference(rectify,[],[f13])).
thf(f33,plain,(
  (((($true != ((sK31 @ sK30))) & ! [X7 : a] : ((((sK31 @ X7)) = $true) | ((((sK26 @ sK29 @ X7)) != $true) & (((sK25 @ sK29 @ X7)) != $true))) & ! [X8 : a,X9 : a] : ((($true != ((sK25 @ X8 @ X9))) & ($true != ((sK26 @ X8 @ X9)))) | (((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true))) & ($true = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29)))) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))) & ((((sK32 @ sK27)) != $true) & ! [X11 : a] : ((($true != ((sK25 @ sK28 @ X11))) & ($true != ((sK26 @ sK28 @ X11)))) | (((sK32 @ X11)) = $true)) & ! [X12 : a,X13 : a] : ((((sK32 @ X13)) = $true) | ((((sK25 @ X12 @ X13)) != $true) & (((sK26 @ X12 @ X13)) != $true)) | (((sK32 @ X12)) != $true)))),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,$thf(sK25)),skolemize(X1,$thf(sK26)),skolemize(X2,$thf(sK27)),skolemize(X3,$thf(sK28)),skolemize(X4,$thf(sK29)),skolemize(X5,$thf(sK30)),skolemize(X6,$thf(sK31)),skolemize(X10,$thf(sK32))],[f32])).
thf(f34,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK8 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ (sK7 @ X4 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f16])).
thf(f35,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | (((X1 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true) | ($true = ((X0 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ (sK7 @ X4 @ X1 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f36,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK8 @ X4 @ X2 @ X1 @ X0))) != $true) | ($true = ((X0 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0)))) | (((X4 @ X3)) = $true) | ($true = ((X1 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0)))) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f16])).
thf(f37,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | (((X1 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0))) = $true) | ($true = ((X0 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X1 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0)))) | ($true = ((X0 @ (sK7 @ X4 @ X1 @ X0) @ (sK6 @ X4 @ X1 @ X0)))) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f38,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK8 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ X3)) = $true) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ (sK6 @ X4 @ X1 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f39,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X0 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true) | (((X1 @ X2 @ (sK8 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ (sK6 @ X4 @ X1 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f40,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X8 : a,X7 : a] : ((((sK12 @ X1 @ X0 @ X7)) != $true) | (((sP4 @ X1 @ X0)) != $true) | (((X1 @ X7 @ X8)) != $true) | (((sK12 @ X1 @ X0 @ X8)) = $true)) )),
  inference(cnf_transformation,[],[f19])).
thf(f41,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X8 : a,X7 : a] : ((((sK12 @ X1 @ X0 @ X7)) != $true) | (((sP4 @ X1 @ X0)) != $true) | ($true != ((X0 @ X7 @ X8))) | (((sK12 @ X1 @ X0 @ X8)) = $true)) )),
  inference(cnf_transformation,[],[f19])).
thf(f42,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((sK12 @ X1 @ X0 @ (sK10 @ X1 @ X0))) != $true) | (((sP4 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f19])).
thf(f43,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X6 : a] : ((((X1 @ (sK11 @ X1 @ X0) @ X6)) != $true) | (((sP4 @ X1 @ X0)) != $true) | (((sK12 @ X1 @ X0 @ X6)) = $true)) )),
  inference(cnf_transformation,[],[f19])).
thf(f44,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X6 : a] : ((((X0 @ (sK11 @ X1 @ X0) @ X6)) != $true) | (((sK12 @ X1 @ X0 @ X6)) = $true) | (((sP4 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f19])).
thf(f45,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((sP4 @ X1 @ X0)) != $true) | ($true = ((sP0 @ (sK9 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f46,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((sP4 @ X1 @ X0)) != $true) | ($true = ((sP1 @ (sK10 @ X1 @ X0) @ X1 @ X0 @ (sK9 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f19])).
thf(f47,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X1 @ X0 @ (sK13 @ X4 @ X1 @ X0)))) | (((X4 @ X2)) = $true) | ($true = ((sP2 @ X2 @ X0 @ X3))) | ($true = ((X1 @ (sK15 @ X4 @ X1) @ (sK14 @ X4 @ X1))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f48,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ (sK15 @ X4 @ X1))) = $true) | ($true = ((sP2 @ X2 @ X0 @ X3))) | (((X4 @ X2)) = $true) | ($true = ((X1 @ X0 @ (sK13 @ X4 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f49,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X1 @ X0 @ (sK13 @ X4 @ X1 @ X0)))) | (((X4 @ X2)) = $true) | (((X4 @ (sK14 @ X4 @ X1))) != $true) | ($true = ((sP2 @ X2 @ X0 @ X3)))) )),
  inference(cnf_transformation,[],[f22])).
thf(f50,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X1 @ (sK15 @ X4 @ X1) @ (sK14 @ X4 @ X1)))) | ($true = ((sP2 @ X2 @ X0 @ X3))) | (((X4 @ (sK13 @ X4 @ X1 @ X0))) != $true) | (((X4 @ X2)) = $true)) )),
  inference(cnf_transformation,[],[f22])).
thf(f51,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ (sK15 @ X4 @ X1))) = $true) | (((X4 @ (sK13 @ X4 @ X1 @ X0))) != $true) | (((X4 @ X2)) = $true) | ($true = ((sP2 @ X2 @ X0 @ X3)))) )),
  inference(cnf_transformation,[],[f22])).
thf(f52,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ (sK13 @ X4 @ X1 @ X0))) != $true) | (((X4 @ (sK14 @ X4 @ X1))) != $true) | ($true = ((sP2 @ X2 @ X0 @ X3))) | (((X4 @ X2)) = $true)) )),
  inference(cnf_transformation,[],[f22])).
thf(f53,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((sP2 @ X2 @ X1 @ X0))) | (((X0 @ X1 @ (sK18 @ X3 @ X1 @ X0))) = $true) | (((X3 @ (sK17 @ X3 @ X0))) != $true) | ($true = ((X3 @ X2)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f54,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((X3 @ (sK18 @ X3 @ X1 @ X0)))) | ($true = ((X3 @ X2))) | ($true != ((sP2 @ X2 @ X1 @ X0))) | (((X3 @ (sK17 @ X3 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f25])).
thf(f55,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((sP2 @ X2 @ X1 @ X0))) | (((X0 @ X1 @ (sK18 @ X3 @ X1 @ X0))) = $true) | (((X3 @ (sK16 @ X3 @ X0))) = $true) | ($true = ((X3 @ X2)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f56,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((X3 @ (sK18 @ X3 @ X1 @ X0)))) | ($true = ((X3 @ X2))) | (((X3 @ (sK16 @ X3 @ X0))) = $true) | ($true != ((sP2 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f57,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((sP2 @ X2 @ X1 @ X0))) | ($true = ((X0 @ (sK16 @ X3 @ X0) @ (sK17 @ X3 @ X0)))) | (((X0 @ X1 @ (sK18 @ X3 @ X1 @ X0))) = $true) | ($true = ((X3 @ X2)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f58,plain,(
  ( ! [X2 : a,X3 : (a > $o),X0 : (a > a > $o),X1 : a] : (($true != ((X3 @ (sK18 @ X3 @ X1 @ X0)))) | ($true = ((X3 @ X2))) | ($true = ((X0 @ (sK16 @ X3 @ X0) @ (sK17 @ X3 @ X0)))) | ($true != ((sP2 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f59,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP1 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ (sK20 @ X4 @ X2 @ X1))) != $true) | (((X4 @ X3)) = $true) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f60,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP1 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X4 @ (sK21 @ X4 @ X2 @ X1))) = $true) | (((X4 @ X3)) = $true) | (((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))) = $true) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f61,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP1 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))) = $true) | ($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | (((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f62,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ (sK20 @ X4 @ X2 @ X1))) != $true) | (((sP1 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f63,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | (((sP1 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X4 @ (sK21 @ X4 @ X2 @ X1))) = $true) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f64,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))) = $true) | (((X4 @ X3)) = $true) | ($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | (((sP1 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f65,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X4 @ (sK23 @ X4 @ X1 @ X0))) != $true) | (((X0 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true) | (((X1 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f66,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ X3)) = $true) | (((X4 @ (sK23 @ X4 @ X1 @ X0))) != $true) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f67,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X1 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true) | (((X1 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X0 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true) | (((X0 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f68,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X2 @ X1 @ X0))) != $true) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X1 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true) | (((X0 @ (sK22 @ X4 @ X1 @ X0) @ (sK23 @ X4 @ X1 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f69,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X0 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true) | ($true = ((X4 @ (sK22 @ X4 @ X1 @ X0)))) | (((X1 @ X2 @ (sK24 @ X4 @ X2 @ X1 @ X0))) = $true) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f70,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > $o),X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ X3)) = $true) | ($true = ((X4 @ (sK22 @ X4 @ X1 @ X0)))) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f71,plain,(
  ( ! [X12 : a,X13 : a] : ((((sK26 @ X12 @ X13)) != $true) | (((sK32 @ X12)) != $true) | (((sK32 @ X13)) = $true)) )),
  inference(cnf_transformation,[],[f33])).
thf(f72,plain,(
  ( ! [X12 : a,X13 : a] : ((((sK25 @ X12 @ X13)) != $true) | (((sK32 @ X13)) = $true) | (((sK32 @ X12)) != $true)) )),
  inference(cnf_transformation,[],[f33])).
thf(f73,plain,(
  ( ! [X11 : a] : (($true != ((sK26 @ sK28 @ X11))) | (((sK32 @ X11)) = $true)) )),
  inference(cnf_transformation,[],[f33])).
thf(f74,plain,(
  ( ! [X11 : a] : (($true != ((sK25 @ sK28 @ X11))) | (((sK32 @ X11)) = $true)) )),
  inference(cnf_transformation,[],[f33])).
thf(f75,plain,(
  (((sK32 @ sK27)) != $true)),
  inference(cnf_transformation,[],[f33])).
thf(f76,plain,(
  ($true = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29))) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))),
  inference(cnf_transformation,[],[f33])).
thf(f77,plain,(
  ( ! [X8 : a,X9 : a] : (($true != ((sK26 @ X8 @ X9))) | (((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f78,plain,(
  ( ! [X8 : a,X9 : a] : (($true != ((sK25 @ X8 @ X9))) | (((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f79,plain,(
  ( ! [X7 : a] : ((((sK31 @ X7)) = $true) | (((sK25 @ sK29 @ X7)) != $true) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f80,plain,(
  ( ! [X7 : a] : ((((sK31 @ X7)) = $true) | (((sK26 @ sK29 @ X7)) != $true) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f81,plain,(
  ($true != ((sK31 @ sK30))) | ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($true = ((sP4 @ sK26 @ sK25)))),
  inference(cnf_transformation,[],[f33])).
thf(f84,definition,(
  (sF33 = ((sK31 @ sK30)))),
  introduced(definition,[new_symbols(definition,[sF33])],[function_definition])).
thf(f85,definition,(
  (sF34 = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25)))),
  introduced(definition,[new_symbols(definition,[sF34])],[function_definition])).
thf(f86,definition,(
  (sF35 = ((sP4 @ sK26 @ sK25)))),
  introduced(definition,[new_symbols(definition,[sF35])],[function_definition])).
thf(f87,plain,(
  (sF33 != $true) | (sF35 = $true) | (sF34 = $true)),
  inference(definition_folding,[],[f81,f86,f85,f84])).
thf(f88,plain,(
  ( ! [X7 : a] : ((((sK26 @ sK29 @ X7)) != $true) | (sF34 = $true) | (((sK31 @ X7)) = $true) | (sF35 = $true)) )),
  inference(definition_folding,[],[f80,f86,f85])).
thf(f89,plain,(
  ( ! [X7 : a] : ((sF34 = $true) | (sF35 = $true) | (((sK31 @ X7)) = $true) | (((sK25 @ sK29 @ X7)) != $true)) )),
  inference(definition_folding,[],[f79,f86,f85])).
thf(f90,plain,(
  ( ! [X8 : a,X9 : a] : ((sF34 = $true) | (((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true) | (sF35 = $true) | ($true != ((sK25 @ X8 @ X9)))) )),
  inference(definition_folding,[],[f78,f86,f85])).
thf(f91,plain,(
  ( ! [X8 : a,X9 : a] : ((((sK31 @ X8)) != $true) | (sF34 = $true) | ($true != ((sK26 @ X8 @ X9))) | (((sK31 @ X9)) = $true) | (sF35 = $true)) )),
  inference(definition_folding,[],[f77,f86,f85])).
thf(f92,definition,(
  (sF36 = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29)))),
  introduced(definition,[new_symbols(definition,[sF36])],[function_definition])).
thf(f93,plain,(
  (sF34 = $true) | (sF36 = $true) | (sF35 = $true)),
  inference(definition_folding,[],[f76,f86,f85,f92])).
thf(f94,definition,(
  (sF37 = ((sK32 @ sK27)))),
  introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
thf(f95,plain,(
  (((sK32 @ sK27)) = sF37)),
  inference(reorient_equations,[],[f94])).
thf(f96,plain,(
  ($true != sF37)),
  inference(definition_folding,[],[f75,f95])).
thf(f97,plain,(
  ($false = ((sK31 @ sK30))) | (sF33 = $true)),
  inference(iff_proxy_clausification,[],[f84])).
thf(f100,plain,(
  ($true = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29))) | ($false = sF36)),
  inference(iff_proxy_clausification,[],[f92])).
thf(f102,plain,(
  ($true = ((sP4 @ sK26 @ sK25))) | ($false = sF35)),
  inference(iff_proxy_clausification,[],[f86])).
thf(f104,plain,(
  ($true = sF37) | ($false = ((sK32 @ sK27)))),
  inference(iff_proxy_clausification,[],[f95])).
thf(f106,plain,(
  ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ($false = sF34)),
  inference(iff_proxy_clausification,[],[f85])).
thf(f108,definition,(
  spl38_1 <=> ! [X7 : a] : ((((sK31 @ X7)) = $true) | (((sK25 @ sK29 @ X7)) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition])).
thf(f109,plain,(
  ( ! [X7 : a] : ((((sK25 @ sK29 @ X7)) != $true) | (((sK31 @ X7)) = $true)) ) | ~spl38_1),
  inference(avatar_component_clause,[],[f108])).
thf(f111,definition,(
  spl38_2 <=> (sF34 = $true)),
  introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition])).
thf(f113,plain,(
  (sF34 = $true) | ~spl38_2),
  inference(avatar_component_clause,[],[f111])).
thf(f115,definition,(
  spl38_3 <=> (sF35 = $true)),
  introduced(definition,[new_symbols(definition,[spl38_3])],[avatar_definition])).
thf(f117,plain,(
  (sF35 = $true) | ~spl38_3),
  inference(avatar_component_clause,[],[f115])).
thf(f118,plain,(
  spl38_1 | spl38_2 | spl38_3),
  inference(avatar_split_clause,[],[f89,f115,f111,f108])).
thf(f129,definition,(
  spl38_6 <=> ($false = ((sK31 @ sK30)))),
  introduced(definition,[new_symbols(definition,[spl38_6])],[avatar_definition])).
thf(f131,plain,(
  ($false = ((sK31 @ sK30))) | ~spl38_6),
  inference(avatar_component_clause,[],[f129])).
thf(f133,definition,(
  spl38_7 <=> (sF33 = $true)),
  introduced(definition,[new_symbols(definition,[spl38_7])],[avatar_definition])).
thf(f136,plain,(
  spl38_6 | spl38_7),
  inference(avatar_split_clause,[],[f97,f133,f129])).
thf(f138,definition,(
  spl38_8 <=> ! [X9 : a,X8 : a] : ((((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true) | ($true != ((sK25 @ X8 @ X9))))),
  introduced(definition,[new_symbols(definition,[spl38_8])],[avatar_definition])).
thf(f139,plain,(
  ( ! [X8 : a,X9 : a] : (($true != ((sK25 @ X8 @ X9))) | (((sK31 @ X8)) != $true) | (((sK31 @ X9)) = $true)) ) | ~spl38_8),
  inference(avatar_component_clause,[],[f138])).
thf(f140,plain,(
  spl38_2 | spl38_8 | spl38_3),
  inference(avatar_split_clause,[],[f90,f115,f138,f111])).
thf(f142,definition,(
  spl38_9 <=> ($true = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29)))),
  introduced(definition,[new_symbols(definition,[spl38_9])],[avatar_definition])).
thf(f144,plain,(
  ($true = ((sP3 @ sK26 @ sK30 @ sK25 @ sK29))) | ~spl38_9),
  inference(avatar_component_clause,[],[f142])).
thf(f146,definition,(
  spl38_10 <=> ($false = sF36)),
  introduced(definition,[new_symbols(definition,[spl38_10])],[avatar_definition])).
thf(f148,plain,(
  ($false = sF36) | ~spl38_10),
  inference(avatar_component_clause,[],[f146])).
thf(f149,plain,(
  spl38_9 | spl38_10),
  inference(avatar_split_clause,[],[f100,f146,f142])).
thf(f151,definition,(
  spl38_11 <=> (sF36 = $true)),
  introduced(definition,[new_symbols(definition,[spl38_11])],[avatar_definition])).
thf(f153,plain,(
  (sF36 = $true) | ~spl38_11),
  inference(avatar_component_clause,[],[f151])).
thf(f160,definition,(
  spl38_13 <=> ($true = ((sP4 @ sK26 @ sK25)))),
  introduced(definition,[new_symbols(definition,[spl38_13])],[avatar_definition])).
thf(f162,plain,(
  ($true = ((sP4 @ sK26 @ sK25))) | ~spl38_13),
  inference(avatar_component_clause,[],[f160])).
thf(f164,definition,(
  spl38_14 <=> ($false = sF35)),
  introduced(definition,[new_symbols(definition,[spl38_14])],[avatar_definition])).
thf(f166,plain,(
  ($false = sF35) | ~spl38_14),
  inference(avatar_component_clause,[],[f164])).
thf(f167,plain,(
  spl38_13 | spl38_14),
  inference(avatar_split_clause,[],[f102,f164,f160])).
thf(f174,definition,(
  spl38_16 <=> ($true = sF37)),
  introduced(definition,[new_symbols(definition,[spl38_16])],[avatar_definition])).
thf(f178,definition,(
  spl38_17 <=> ($false = ((sK32 @ sK27)))),
  introduced(definition,[new_symbols(definition,[spl38_17])],[avatar_definition])).
thf(f180,plain,(
  ($false = ((sK32 @ sK27))) | ~spl38_17),
  inference(avatar_component_clause,[],[f178])).
thf(f181,plain,(
  spl38_16 | spl38_17),
  inference(avatar_split_clause,[],[f104,f178,f174])).
thf(f191,plain,(
  spl38_3 | spl38_11 | spl38_2),
  inference(avatar_split_clause,[],[f93,f111,f151,f115])).
thf(f193,definition,(
  spl38_20 <=> ($false = sF34)),
  introduced(definition,[new_symbols(definition,[spl38_20])],[avatar_definition])).
thf(f195,plain,(
  ($false = sF34) | ~spl38_20),
  inference(avatar_component_clause,[],[f193])).
thf(f197,definition,(
  spl38_21 <=> ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25)))),
  introduced(definition,[new_symbols(definition,[spl38_21])],[avatar_definition])).
thf(f199,plain,(
  ($true = ((sP5 @ sK27 @ sK28 @ sK26 @ sK25))) | ~spl38_21),
  inference(avatar_component_clause,[],[f197])).
thf(f200,plain,(
  spl38_20 | spl38_21),
  inference(avatar_split_clause,[],[f106,f197,f193])).
thf(f206,plain,(
  spl38_2 | ~spl38_7 | spl38_3),
  inference(avatar_split_clause,[],[f87,f115,f133,f111])).
thf(f208,definition,(
  spl38_23 <=> ! [X7 : a] : ((((sK26 @ sK29 @ X7)) != $true) | (((sK31 @ X7)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_23])],[avatar_definition])).
thf(f209,plain,(
  ( ! [X7 : a] : ((((sK26 @ sK29 @ X7)) != $true) | (((sK31 @ X7)) = $true)) ) | ~spl38_23),
  inference(avatar_component_clause,[],[f208])).
thf(f210,plain,(
  spl38_23 | spl38_3 | spl38_2),
  inference(avatar_split_clause,[],[f88,f111,f115,f208])).
thf(f212,definition,(
  spl38_24 <=> ! [X9 : a,X8 : a] : ((((sK31 @ X8)) != $true) | (((sK31 @ X9)) = $true) | ($true != ((sK26 @ X8 @ X9))))),
  introduced(definition,[new_symbols(definition,[spl38_24])],[avatar_definition])).
thf(f213,plain,(
  ( ! [X8 : a,X9 : a] : (($true != ((sK26 @ X8 @ X9))) | (((sK31 @ X9)) = $true) | (((sK31 @ X8)) != $true)) ) | ~spl38_24),
  inference(avatar_component_clause,[],[f212])).
thf(f214,plain,(
  spl38_2 | spl38_3 | spl38_24),
  inference(avatar_split_clause,[],[f91,f212,f115,f111])).
thf(f215,plain,(
  ~spl38_16),
  inference(avatar_split_clause,[],[f96,f174])).
thf(f217,plain,(
  ($false = $true) | (~spl38_2 | ~spl38_20)),
  inference(superposition,[],[f113,f195])).
thf(f220,plain,(
  $false | (~spl38_2 | ~spl38_20)),
  inference(trivial_inequality_removal,[],[f217])).
thf(f221,plain,(
  ~spl38_2 | ~spl38_20),
  inference(avatar_contradiction_clause,[],[f220])).
thf(f249,definition,(
  spl38_25 <=> ! [X0 : (a > $o)] : (($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ sK30)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_25])],[avatar_definition])).
thf(f250,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ sK30)) = $true)) ) | ~spl38_25),
  inference(avatar_component_clause,[],[f249])).
thf(f252,definition,(
  spl38_26 <=> (((sP2 @ sK30 @ sK29 @ sK26)) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_26])],[avatar_definition])).
thf(f253,plain,(
  (((sP2 @ sK30 @ sK29 @ sK26)) != $true) | spl38_26),
  inference(avatar_component_clause,[],[f252])).
thf(f254,plain,(
  (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | ~spl38_26),
  inference(avatar_component_clause,[],[f252])).
thf(f256,plain,(
  ($false = $true) | (~spl38_10 | ~spl38_11)),
  inference(superposition,[],[f148,f153])).
thf(f260,plain,(
  $false | (~spl38_10 | ~spl38_11)),
  inference(trivial_inequality_removal,[],[f256])).
thf(f261,plain,(
  ~spl38_10 | ~spl38_11),
  inference(avatar_contradiction_clause,[],[f260])).
thf(f331,definition,(
  spl38_33 <=> ! [X0 : (a > $o)] : ((((X0 @ sK27)) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25)))) | (((sK32 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_33])],[avatar_definition])).
thf(f332,plain,(
  ( ! [X0 : (a > $o)] : ((((sK32 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25))))) ) | ~spl38_33),
  inference(avatar_component_clause,[],[f331])).
thf(f382,plain,(
  ($false = $true) | (~spl38_3 | ~spl38_14)),
  inference(superposition,[],[f117,f166])).
thf(f385,plain,(
  $false | (~spl38_3 | ~spl38_14)),
  inference(trivial_inequality_removal,[],[f382])).
thf(f386,plain,(
  ~spl38_3 | ~spl38_14),
  inference(avatar_contradiction_clause,[],[f385])).
thf(f438,definition,(
  spl38_43 <=> ! [X0 : (a > $o)] : ((((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_43])],[avatar_definition])).
thf(f439,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_43),
  inference(avatar_component_clause,[],[f438])).
thf(f442,definition,(
  spl38_44 <=> ! [X0 : (a > $o)] : ((((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true) | (((X0 @ sK30)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_44])],[avatar_definition])).
thf(f443,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_44),
  inference(avatar_component_clause,[],[f442])).
thf(f447,definition,(
  spl38_45 <=> ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_45])],[avatar_definition])).
thf(f448,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_45),
  inference(avatar_component_clause,[],[f447])).
thf(f451,definition,(
  spl38_46 <=> ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_46])],[avatar_definition])).
thf(f452,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ sK30)) = $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true)) ) | ~spl38_46),
  inference(avatar_component_clause,[],[f451])).
thf(f455,definition,(
  spl38_47 <=> ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25)))))),
  introduced(definition,[new_symbols(definition,[spl38_47])],[avatar_definition])).
thf(f456,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25))))) ) | ~spl38_47),
  inference(avatar_component_clause,[],[f455])).
thf(f459,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK16 @ X0 @ sK26))) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ sK30)) = $true) | ($true != $true)) ) | ~spl38_26),
  inference(superposition,[],[f55,f254])).
thf(f463,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ sK30)) = $true) | (((X0 @ (sK16 @ X0 @ sK26))) = $true)) ) | ~spl38_26),
  inference(trivial_inequality_removal,[],[f459])).
thf(f473,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ (sK16 @ X0 @ sK26))) = $true) | (((X0 @ sK30)) = $true) | ($true != $true)) ) | (~spl38_23 | ~spl38_26)),
  inference(superposition,[],[f209,f463])).
thf(f483,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((X0 @ (sK16 @ X0 @ sK26))) = $true) | (((sK31 @ (sK18 @ X0 @ sK29 @ sK26))) = $true)) ) | (~spl38_23 | ~spl38_26)),
  inference(trivial_inequality_removal,[],[f473])).
thf(f503,definition,(
  spl38_52 <=> ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((sK31 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ (sK16 @ X0 @ sK26))) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_52])],[avatar_definition])).
thf(f504,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ sK30)) = $true) | (((X0 @ (sK16 @ X0 @ sK26))) = $true)) ) | ~spl38_52),
  inference(avatar_component_clause,[],[f503])).
thf(f514,plain,(
  spl38_52 | ~spl38_23 | ~spl38_26),
  inference(avatar_split_clause,[],[f483,f252,f208,f503])).
thf(f535,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((X0 @ sK27)) = $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25)))) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(superposition,[],[f35,f199])).
thf(f537,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25)))) | (((X0 @ sK27)) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(trivial_inequality_removal,[],[f535])).
thf(f558,plain,(
  ( ! [X0 : (a > $o)] : ((((sK32 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25)))) | ($true != $true) | (((X0 @ sK27)) = $true)) ) | ~spl38_21),
  inference(superposition,[],[f73,f537])).
thf(f568,plain,(
  ( ! [X0 : (a > $o)] : ((((sK32 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25))))) ) | ~spl38_21),
  inference(trivial_inequality_removal,[],[f558])).
thf(f571,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK7 @ X0 @ sK26 @ sK25)))) | (((sK32 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true)) ) | ~spl38_21),
  inference(forward_subsumption_resolution,[],[f568,f74])).
thf(f572,plain,(
  spl38_33 | ~spl38_21),
  inference(avatar_split_clause,[],[f571,f197,f331])).
thf(f587,definition,(
  spl38_58 <=> ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | (((sK32 @ X0)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_58])],[avatar_definition])).
thf(f588,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | (((sK32 @ X0)) = $true)) ) | ~spl38_58),
  inference(avatar_component_clause,[],[f587])).
thf(f590,definition,(
  spl38_59 <=> ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_59])],[avatar_definition])).
thf(f592,plain,(
  ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ~spl38_59),
  inference(avatar_component_clause,[],[f590])).
thf(f595,definition,(
  spl38_60 <=> ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_60])],[avatar_definition])).
thf(f597,plain,(
  ($true != ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | spl38_60),
  inference(avatar_component_clause,[],[f595])).
thf(f600,definition,(
  spl38_61 <=> (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_61])],[avatar_definition])).
thf(f602,plain,(
  (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true) | ~spl38_61),
  inference(avatar_component_clause,[],[f600])).
thf(f604,definition,(
  spl38_62 <=> ($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_62])],[avatar_definition])).
thf(f606,plain,(
  ($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25)))) | ~spl38_62),
  inference(avatar_component_clause,[],[f604])).
thf(f726,plain,(
  ( ! [X0 : (a > $o)] : ((((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true) | (((X0 @ sK30)) = $true) | ($true != $true)) ) | ~spl38_9),
  inference(superposition,[],[f47,f144])).
thf(f727,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | ($true != $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true)) ) | ~spl38_9),
  inference(superposition,[],[f50,f144])).
thf(f728,plain,(
  ( ! [X0 : (a > $o)] : ((((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ sK30)) = $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | ($true != $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true)) ) | ~spl38_9),
  inference(superposition,[],[f49,f144])).
thf(f730,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | ($true != $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_9),
  inference(superposition,[],[f52,f144])).
thf(f732,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f728])).
thf(f733,plain,(
  ( ! [X0 : (a > $o)] : ((((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ sK30)) = $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f727])).
thf(f734,plain,(
  ( ! [X0 : (a > $o)] : ((((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f730])).
thf(f736,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((sK25 @ (sK15 @ X0 @ sK25) @ (sK14 @ X0 @ sK25))) = $true) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f726])).
thf(f738,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true)) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f732,f253])).
thf(f740,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ sK30)) = $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ (sK14 @ X0 @ sK25))) != $true)) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f734,f253])).
thf(f743,plain,(
  spl38_43 | ~spl38_9 | spl38_26),
  inference(avatar_split_clause,[],[f738,f252,f142,f438])).
thf(f745,plain,(
  spl38_45 | ~spl38_9 | spl38_26),
  inference(avatar_split_clause,[],[f740,f252,f142,f447])).
thf(f754,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | ($true != $true) | (((X0 @ sK30)) = $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25))))) ) | (~spl38_1 | ~spl38_47)),
  inference(superposition,[],[f109,f456])).
thf(f759,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((sK31 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true)) ) | (~spl38_1 | ~spl38_47)),
  inference(trivial_inequality_removal,[],[f754])).
thf(f767,definition,(
  spl38_76 <=> ! [X0 : (a > $o)] : ((((sK31 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ sK30)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_76])],[avatar_definition])).
thf(f768,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ sK30)) = $true)) ) | ~spl38_76),
  inference(avatar_component_clause,[],[f767])).
thf(f788,plain,(
  spl38_26 | spl38_44 | ~spl38_9),
  inference(avatar_split_clause,[],[f736,f142,f442,f252])).
thf(f790,plain,(
  spl38_46 | spl38_26 | ~spl38_9),
  inference(avatar_split_clause,[],[f733,f142,f252,f451])).
thf(f805,definition,(
  spl38_81 <=> (((sK31 @ (sK16 @ sK31 @ sK26))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_81])],[avatar_definition])).
thf(f807,plain,(
  (((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ~spl38_81),
  inference(avatar_component_clause,[],[f805])).
thf(f809,definition,(
  spl38_82 <=> ($true = ((sK31 @ (sK17 @ sK31 @ sK26))))),
  introduced(definition,[new_symbols(definition,[spl38_82])],[avatar_definition])).
thf(f811,plain,(
  ($true != ((sK31 @ (sK17 @ sK31 @ sK26)))) | spl38_82),
  inference(avatar_component_clause,[],[f809])).
thf(f813,definition,(
  spl38_83 <=> ! [X0 : a] : (($true != ((sP2 @ X0 @ sK29 @ sK26))) | (((sK31 @ X0)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_83])],[avatar_definition])).
thf(f814,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ X0 @ sK29 @ sK26))) | (((sK31 @ X0)) = $true)) ) | ~spl38_83),
  inference(avatar_component_clause,[],[f813])).
thf(f818,definition,(
  spl38_84 <=> ($true = ((sK26 @ (sK16 @ sK31 @ sK26) @ (sK17 @ sK31 @ sK26))))),
  introduced(definition,[new_symbols(definition,[spl38_84])],[avatar_definition])).
thf(f820,plain,(
  ($true = ((sK26 @ (sK16 @ sK31 @ sK26) @ (sK17 @ sK31 @ sK26)))) | ~spl38_84),
  inference(avatar_component_clause,[],[f818])).
thf(f829,plain,(
  ( ! [X0 : a] : ((((sK32 @ X0)) = $true) | (((sK32 @ sK27)) = $true) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($true != $true) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25)))) ) | ~spl38_33),
  inference(superposition,[],[f34,f332])).
thf(f831,plain,(
  ( ! [X0 : a] : (($true != $true) | (((sK32 @ sK27)) = $true) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | ~spl38_33),
  inference(duplicate_literal_removal,[],[f829])).
thf(f832,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | (((sK32 @ sK27)) = $true) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | ~spl38_33),
  inference(trivial_inequality_removal,[],[f831])).
thf(f850,plain,(
  ($true != $true) | (((sK32 @ sK27)) = $true) | (~spl38_21 | ~spl38_58)),
  inference(superposition,[],[f588,f199])).
thf(f851,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((sK25 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25)))) | (((X0 @ sK27)) = $true) | ($true != $true) | (((sK26 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(superposition,[],[f37,f199])).
thf(f852,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK6 @ X0 @ sK26 @ sK25)))) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true)) ) | ~spl38_21),
  inference(superposition,[],[f39,f199])).
thf(f854,plain,(
  (((sK32 @ sK27)) = $true) | (~spl38_21 | ~spl38_58)),
  inference(trivial_inequality_removal,[],[f850])).
thf(f856,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK25 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25)))) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true) | (((sK26 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(trivial_inequality_removal,[],[f851])).
thf(f857,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK6 @ X0 @ sK26 @ sK25)))) | (((X0 @ sK27)) = $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(trivial_inequality_removal,[],[f852])).
thf(f858,plain,(
  ($false = $true) | (~spl38_17 | ~spl38_21 | ~spl38_58)),
  inference(forward_demodulation,[],[f854,f180])).
thf(f859,plain,(
  $false | (~spl38_17 | ~spl38_21 | ~spl38_58)),
  inference(trivial_inequality_removal,[],[f858])).
thf(f860,plain,(
  ~spl38_17 | ~spl38_21 | ~spl38_58),
  inference(avatar_contradiction_clause,[],[f859])).
thf(f865,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($false = $true) | (((sK32 @ X0)) = $true)) ) | (~spl38_17 | ~spl38_33)),
  inference(forward_demodulation,[],[f832,f180])).
thf(f866,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true = ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | (~spl38_17 | ~spl38_33)),
  inference(trivial_inequality_removal,[],[f865])).
thf(f869,plain,(
  spl38_58 | spl38_59 | ~spl38_17 | ~spl38_33),
  inference(avatar_split_clause,[],[f866,f331,f178,f590,f587])).
thf(f873,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK15 @ X0 @ sK25))) != $true) | (((sK31 @ (sK14 @ X0 @ sK25))) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true) | ($true != $true)) ) | (~spl38_8 | ~spl38_44)),
  inference(superposition,[],[f139,f443])).
thf(f875,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK15 @ X0 @ sK25))) != $true) | (((X0 @ sK30)) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((sK31 @ (sK14 @ X0 @ sK25))) = $true)) ) | (~spl38_8 | ~spl38_44)),
  inference(trivial_inequality_removal,[],[f873])).
thf(f894,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK32 @ (sK6 @ X0 @ sK26 @ sK25)))) | ($true != $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK32 @ (sK7 @ X0 @ sK26 @ sK25))) != $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true)) ) | ~spl38_21),
  inference(superposition,[],[f72,f856])).
thf(f895,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK7 @ X0 @ sK26 @ sK25) @ (sK6 @ X0 @ sK26 @ sK25))) = $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((X0 @ sK27)) = $true) | ($true = ((sK32 @ (sK6 @ X0 @ sK26 @ sK25)))) | (((sK32 @ (sK7 @ X0 @ sK26 @ sK25))) != $true)) ) | ~spl38_21),
  inference(trivial_inequality_removal,[],[f894])).
thf(f897,plain,(
  ( ! [X0 : (a > $o)] : ((((sK32 @ (sK7 @ X0 @ sK26 @ sK25))) != $true) | ($true = ((sK32 @ (sK6 @ X0 @ sK26 @ sK25)))) | (((X0 @ sK27)) = $true) | (((sK25 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true) | (((sK26 @ sK28 @ (sK8 @ X0 @ sK28 @ sK26 @ sK25))) = $true)) ) | ~spl38_21),
  inference(forward_subsumption_resolution,[],[f895,f71])).
thf(f899,plain,(
  (((sK32 @ sK27)) = $true) | ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ($true != $true) | ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | (~spl38_21 | ~spl38_59)),
  inference(superposition,[],[f897,f592])).
thf(f900,plain,(
  ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | (((sK32 @ sK27)) = $true) | (~spl38_21 | ~spl38_59)),
  inference(trivial_inequality_removal,[],[f899])).
thf(f901,plain,(
  (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | (((sK32 @ sK27)) = $true) | ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | (~spl38_21 | ~spl38_59)),
  inference(forward_subsumption_resolution,[],[f900,f857])).
thf(f902,plain,(
  (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ($false = $true) | (~spl38_17 | ~spl38_21 | ~spl38_59)),
  inference(forward_demodulation,[],[f901,f180])).
thf(f903,plain,(
  (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | (~spl38_17 | ~spl38_21 | ~spl38_59)),
  inference(trivial_inequality_removal,[],[f902])).
thf(f905,definition,(
  spl38_85 <=> ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_85])],[avatar_definition])).
thf(f907,plain,(
  ($true = ((sK25 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ~spl38_85),
  inference(avatar_component_clause,[],[f905])).
thf(f909,definition,(
  spl38_86 <=> (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_86])],[avatar_definition])).
thf(f911,plain,(
  (((sK26 @ sK28 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25))) = $true) | ~spl38_86),
  inference(avatar_component_clause,[],[f909])).
thf(f912,plain,(
  spl38_85 | spl38_86 | ~spl38_17 | ~spl38_21 | ~spl38_59),
  inference(avatar_split_clause,[],[f903,f590,f197,f178,f909,f905])).
thf(f913,plain,(
  ($true = ((sK32 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ($true != $true) | ~spl38_85),
  inference(superposition,[],[f74,f907])).
thf(f918,plain,(
  ($true = ((sK32 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ~spl38_85),
  inference(trivial_inequality_removal,[],[f913])).
thf(f920,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true != $true) | ($true != ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | ~spl38_85),
  inference(superposition,[],[f38,f918])).
thf(f922,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true != ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | ~spl38_85),
  inference(trivial_inequality_removal,[],[f920])).
thf(f925,plain,(
  spl38_58 | ~spl38_60 | ~spl38_85),
  inference(avatar_split_clause,[],[f922,f905,f595,f587])).
thf(f927,plain,(
  ($true = ((sK32 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ($true != $true) | ~spl38_86),
  inference(superposition,[],[f73,f911])).
thf(f930,plain,(
  ($true = ((sK32 @ (sK8 @ sK32 @ sK28 @ sK26 @ sK25)))) | ~spl38_86),
  inference(trivial_inequality_removal,[],[f927])).
thf(f933,plain,(
  ( ! [X0 : a] : ((((sK32 @ X0)) = $true) | ($true != $true) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true) | ($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))))) ) | ~spl38_86),
  inference(superposition,[],[f36,f930])).
thf(f934,plain,(
  ( ! [X0 : a] : (($true != $true) | (((sK32 @ X0)) = $true) | ($true != ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25)))) ) | ~spl38_86),
  inference(superposition,[],[f38,f930])).
thf(f937,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true != ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true)) ) | ~spl38_86),
  inference(trivial_inequality_removal,[],[f934])).
thf(f938,plain,(
  ( ! [X0 : a] : ((((sK32 @ X0)) = $true) | (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))))) ) | ~spl38_86),
  inference(trivial_inequality_removal,[],[f933])).
thf(f939,plain,(
  spl38_58 | ~spl38_60 | ~spl38_86),
  inference(avatar_split_clause,[],[f937,f909,f595,f587])).
thf(f940,plain,(
  spl38_58 | spl38_62 | spl38_61 | ~spl38_86),
  inference(avatar_split_clause,[],[f938,f909,f600,f604,f587])).
thf(f942,plain,(
  ($true != $true) | ($true != ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ~spl38_62),
  inference(superposition,[],[f71,f606])).
thf(f943,plain,(
  ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ($true != ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ~spl38_62),
  inference(trivial_inequality_removal,[],[f942])).
thf(f945,plain,(
  ($true != ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | (spl38_60 | ~spl38_62)),
  inference(forward_subsumption_resolution,[],[f943,f597])).
thf(f955,plain,(
  $false | (~spl38_59 | spl38_60 | ~spl38_62)),
  inference(forward_subsumption_resolution,[],[f945,f592])).
thf(f956,plain,(
  ~spl38_59 | spl38_60 | ~spl38_62),
  inference(avatar_contradiction_clause,[],[f955])).
thf(f958,plain,(
  ( ! [X0 : a] : ((((sK32 @ X0)) = $true) | (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true) | ($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25)))) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25))) | ($true != $true)) ) | ~spl38_85),
  inference(superposition,[],[f36,f918])).
thf(f963,plain,(
  ( ! [X0 : a] : (($true = ((sK26 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25)))) | (((sK32 @ X0)) = $true) | (((sK25 @ (sK7 @ sK32 @ sK26 @ sK25) @ (sK6 @ sK32 @ sK26 @ sK25))) = $true) | ($true != ((sP5 @ X0 @ sK28 @ sK26 @ sK25)))) ) | ~spl38_85),
  inference(trivial_inequality_removal,[],[f958])).
thf(f964,plain,(
  spl38_61 | spl38_58 | spl38_62 | ~spl38_85),
  inference(avatar_split_clause,[],[f963,f905,f604,f587,f600])).
thf(f972,plain,(
  ($true != ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($true != $true) | ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ~spl38_61),
  inference(superposition,[],[f72,f602])).
thf(f973,plain,(
  ($true != ((sK32 @ (sK7 @ sK32 @ sK26 @ sK25)))) | ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | ~spl38_61),
  inference(trivial_inequality_removal,[],[f972])).
thf(f975,plain,(
  ($true = ((sK32 @ (sK6 @ sK32 @ sK26 @ sK25)))) | (~spl38_59 | ~spl38_61)),
  inference(forward_subsumption_resolution,[],[f973,f592])).
thf(f977,plain,(
  $false | (~spl38_59 | spl38_60 | ~spl38_61)),
  inference(forward_subsumption_resolution,[],[f975,f597])).
thf(f978,plain,(
  ~spl38_59 | spl38_60 | ~spl38_61),
  inference(avatar_contradiction_clause,[],[f977])).
thf(f981,plain,(
  ($true != $true) | ($true = ((sP0 @ (sK9 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) | ~spl38_13),
  inference(superposition,[],[f45,f162])).
thf(f982,plain,(
  ($true != $true) | ($true = ((sP1 @ (sK10 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) | ~spl38_13),
  inference(superposition,[],[f46,f162])).
thf(f983,plain,(
  ($true = ((sP1 @ (sK10 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f982])).
thf(f984,plain,(
  ($true = ((sP0 @ (sK9 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f981])).
thf(f990,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))))) | ($true != $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f61,f983])).
thf(f991,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | ($true != $true) | ($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))))) | (((X0 @ (sK21 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f60,f983])).
thf(f992,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))))) | (((X0 @ (sK20 @ X0 @ sK26 @ sK25))) != $true) | ($true != $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f59,f983])).
thf(f993,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))))) | (((sK26 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f990])).
thf(f994,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((X0 @ (sK21 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f991])).
thf(f995,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK20 @ X0 @ sK26 @ sK25))) != $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true = ((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))))) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f992])).
thf(f996,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f67,f984])).
thf(f997,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f69,f984])).
thf(f998,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((X0 @ (sK23 @ X0 @ sK26 @ sK25))) != $true)) ) | ~spl38_13),
  inference(superposition,[],[f65,f984])).
thf(f999,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK23 @ X0 @ sK26 @ sK25))) != $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f998])).
thf(f1000,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f997])).
thf(f1001,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f996])).
thf(f1034,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true)) ) | ~spl38_13),
  inference(superposition,[],[f43,f1000])).
thf(f1045,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1034])).
thf(f1048,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(forward_subsumption_resolution,[],[f1045,f162])).
thf(f1049,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f44,f1048])).
thf(f1055,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(duplicate_literal_removal,[],[f1049])).
thf(f1056,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1055])).
thf(f1063,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK22 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(forward_subsumption_resolution,[],[f1056,f162])).
thf(f1145,plain,(
  ( ! [X0 : a] : ((((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f70,f1063])).
thf(f1149,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true)) ) | ~spl38_13),
  inference(duplicate_literal_removal,[],[f1145])).
thf(f1150,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1149])).
thf(f1154,definition,(
  spl38_96 <=> ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_96])],[avatar_definition])).
thf(f1155,plain,(
  ( ! [X0 : a] : ((((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_96),
  inference(avatar_component_clause,[],[f1154])).
thf(f1157,definition,(
  spl38_97 <=> ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_97])],[avatar_definition])).
thf(f1159,plain,(
  ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | ~spl38_97),
  inference(avatar_component_clause,[],[f1157])).
thf(f1161,definition,(
  spl38_98 <=> (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_98])],[avatar_definition])).
thf(f1162,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | spl38_98),
  inference(avatar_component_clause,[],[f1161])).
thf(f1163,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | ~spl38_98),
  inference(avatar_component_clause,[],[f1161])).
thf(f1165,definition,(
  spl38_99 <=> (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_99])],[avatar_definition])).
thf(f1167,plain,(
  (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_99),
  inference(avatar_component_clause,[],[f1165])).
thf(f1169,definition,(
  spl38_100 <=> (((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_100])],[avatar_definition])).
thf(f1171,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_100),
  inference(avatar_component_clause,[],[f1169])).
thf(f1174,plain,(
  spl38_96 | spl38_100 | spl38_98 | ~spl38_13),
  inference(avatar_split_clause,[],[f1150,f160,f1161,f1169,f1154])).
thf(f1176,definition,(
  spl38_101 <=> (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_101])],[avatar_definition])).
thf(f1177,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_101),
  inference(avatar_component_clause,[],[f1176])).
thf(f1178,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | spl38_101),
  inference(avatar_component_clause,[],[f1176])).
thf(f1181,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_96)),
  inference(superposition,[],[f1155,f984])).
thf(f1182,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_96)),
  inference(trivial_inequality_removal,[],[f1181])).
thf(f1183,plain,(
  spl38_98 | ~spl38_13 | ~spl38_96),
  inference(avatar_split_clause,[],[f1182,f1154,f160,f1161])).
thf(f1184,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true) | (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true) | ($true != ((sP4 @ sK26 @ sK25)))) ) | ~spl38_100),
  inference(superposition,[],[f41,f1171])).
thf(f1185,plain,(
  ( ! [X0 : a] : (($true != ((sP4 @ sK26 @ sK25))) | ($true != $true) | ($true != ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_100),
  inference(superposition,[],[f40,f1171])).
thf(f1186,plain,(
  ( ! [X0 : a] : (($true != ((sP4 @ sK26 @ sK25))) | ($true != ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_100),
  inference(trivial_inequality_removal,[],[f1185])).
thf(f1187,plain,(
  ( ! [X0 : a] : ((((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_100),
  inference(trivial_inequality_removal,[],[f1184])).
thf(f1188,plain,(
  ( ! [X0 : a] : (($true != ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_100)),
  inference(forward_subsumption_resolution,[],[f1186,f162])).
thf(f1189,plain,(
  ( ! [X0 : a] : ((((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_100)),
  inference(forward_subsumption_resolution,[],[f1187,f162])).
thf(f1190,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f43,f1001])).
thf(f1202,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1190])).
thf(f1206,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(forward_subsumption_resolution,[],[f1202,f162])).
thf(f1237,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sP4 @ sK26 @ sK25))) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f44,f1206])).
thf(f1246,plain,(
  ( ! [X0 : (a > $o)] : ((((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25)))) ) | ~spl38_13),
  inference(duplicate_literal_removal,[],[f1237])).
thf(f1247,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != ((sP4 @ sK26 @ sK25)))) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1246])).
thf(f1251,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK24 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((X0 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ X0 @ sK26 @ sK25) @ (sK23 @ X0 @ sK26 @ sK25))) = $true)) ) | ~spl38_13),
  inference(forward_subsumption_resolution,[],[f1247,f162])).
thf(f1254,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_13),
  inference(superposition,[],[f68,f1251])).
thf(f1260,plain,(
  ( ! [X0 : a] : (($true != $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_13),
  inference(duplicate_literal_removal,[],[f1254])).
thf(f1261,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | ($true = ((sK26 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK25 @ (sK22 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_13),
  inference(trivial_inequality_removal,[],[f1260])).
thf(f1265,plain,(
  spl38_97 | spl38_98 | spl38_99 | spl38_96 | ~spl38_13),
  inference(avatar_split_clause,[],[f1261,f160,f1154,f1165,f1161,f1157])).
thf(f1267,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (~spl38_13 | ~spl38_99 | ~spl38_100)),
  inference(superposition,[],[f1189,f1167])).
thf(f1270,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_99 | ~spl38_100)),
  inference(trivial_inequality_removal,[],[f1267])).
thf(f1273,plain,(
  spl38_101 | ~spl38_13 | ~spl38_99 | ~spl38_100),
  inference(avatar_split_clause,[],[f1270,f1169,f1165,f160,f1176])).
thf(f1292,plain,(
  ( ! [X0 : a] : ((((sK25 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | ($true != ((sP4 @ sK26 @ sK25))) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_98),
  inference(superposition,[],[f41,f1163])).
thf(f1293,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK26 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_98),
  inference(superposition,[],[f40,f1163])).
thf(f1294,plain,(
  ( ! [X0 : a] : ((((sK26 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_98),
  inference(trivial_inequality_removal,[],[f1293])).
thf(f1295,plain,(
  ( ! [X0 : a] : ((((sK25 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != ((sP4 @ sK26 @ sK25)))) ) | ~spl38_98),
  inference(trivial_inequality_removal,[],[f1292])).
thf(f1296,plain,(
  ( ! [X0 : a] : ((((sK26 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(forward_subsumption_resolution,[],[f1294,f162])).
thf(f1297,plain,(
  ( ! [X0 : a] : ((((sK25 @ (sK9 @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(forward_subsumption_resolution,[],[f1295,f162])).
thf(f1299,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(superposition,[],[f1296,f993])).
thf(f1300,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((X0 @ (sK21 @ X0 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true != $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(superposition,[],[f1296,f994])).
thf(f1302,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK26 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(trivial_inequality_removal,[],[f1299])).
thf(f1303,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((X0 @ (sK21 @ X0 @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(trivial_inequality_removal,[],[f1300])).
thf(f1370,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((X0 @ (sK21 @ X0 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25))))) ) | (~spl38_13 | ~spl38_98)),
  inference(forward_subsumption_resolution,[],[f1303,f1297])).
thf(f1374,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | ($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(superposition,[],[f63,f1370])).
thf(f1377,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | ($true != $true) | ($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(duplicate_literal_removal,[],[f1374])).
thf(f1378,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | ($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))) ) | (~spl38_13 | ~spl38_98)),
  inference(trivial_inequality_removal,[],[f1377])).
thf(f1383,definition,(
  spl38_116 <=> ($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_116])],[avatar_definition])).
thf(f1385,plain,(
  ($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | ~spl38_116),
  inference(avatar_component_clause,[],[f1383])).
thf(f1387,definition,(
  spl38_117 <=> ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_117])],[avatar_definition])).
thf(f1388,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_117),
  inference(avatar_component_clause,[],[f1387])).
thf(f1390,definition,(
  spl38_118 <=> ($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_118])],[avatar_definition])).
thf(f1392,plain,(
  ($true = ((sK12 @ sK26 @ sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | ~spl38_118),
  inference(avatar_component_clause,[],[f1390])).
thf(f1394,definition,(
  spl38_119 <=> (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_119])],[avatar_definition])).
thf(f1395,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) != $true) | spl38_119),
  inference(avatar_component_clause,[],[f1394])).
thf(f1396,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | ~spl38_119),
  inference(avatar_component_clause,[],[f1394])).
thf(f1398,definition,(
  spl38_120 <=> (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_120])],[avatar_definition])).
thf(f1400,plain,(
  (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_120),
  inference(avatar_component_clause,[],[f1398])).
thf(f1402,plain,(
  spl38_119 | spl38_117 | spl38_118 | ~spl38_13 | ~spl38_98),
  inference(avatar_split_clause,[],[f1378,f1161,f160,f1390,f1387,f1394])).
thf(f1404,definition,(
  spl38_121 <=> (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_121])],[avatar_definition])).
thf(f1405,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_121),
  inference(avatar_component_clause,[],[f1404])).
thf(f1410,plain,(
  ($true != ((sP4 @ sK26 @ sK25))) | ($true != $true) | ~spl38_119),
  inference(superposition,[],[f42,f1396])).
thf(f1414,plain,(
  ($true != ((sP4 @ sK26 @ sK25))) | ~spl38_119),
  inference(trivial_inequality_removal,[],[f1410])).
thf(f1417,plain,(
  $false | (~spl38_13 | ~spl38_119)),
  inference(forward_subsumption_resolution,[],[f1414,f162])).
thf(f1418,plain,(
  ~spl38_13 | ~spl38_119),
  inference(avatar_contradiction_clause,[],[f1417])).
thf(f1420,plain,(
  ( ! [X0 : a] : (($true != ((sP4 @ sK26 @ sK25))) | ($true != ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true)) ) | ~spl38_118),
  inference(superposition,[],[f41,f1392])).
thf(f1421,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != ((sP4 @ sK26 @ sK25))) | ($true != $true) | (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true)) ) | ~spl38_118),
  inference(superposition,[],[f40,f1392])).
thf(f1422,plain,(
  ( ! [X0 : a] : ((((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != ((sP4 @ sK26 @ sK25)))) ) | ~spl38_118),
  inference(trivial_inequality_removal,[],[f1421])).
thf(f1423,plain,(
  ( ! [X0 : a] : (($true != ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | ~spl38_118),
  inference(trivial_inequality_removal,[],[f1420])).
thf(f1424,plain,(
  ( ! [X0 : a] : ((((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_118)),
  inference(forward_subsumption_resolution,[],[f1422,f162])).
thf(f1425,plain,(
  ( ! [X0 : a] : (($true != ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ X0))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_118)),
  inference(forward_subsumption_resolution,[],[f1423,f162])).
thf(f1426,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK26 @ sK25 @ (sK19 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK26 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true) | ($true = ((X0 @ (sK10 @ sK26 @ sK25)))) | (((sK25 @ (sK21 @ X0 @ sK26 @ sK25) @ (sK20 @ X0 @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(forward_subsumption_resolution,[],[f1302,f1297])).
thf(f1429,plain,(
  ( ! [X0 : a] : (($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | ($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))) ) | (~spl38_13 | ~spl38_98)),
  inference(superposition,[],[f64,f1426])).
thf(f1436,plain,(
  ( ! [X0 : a] : ((((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | ($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))))) ) | (~spl38_13 | ~spl38_98)),
  inference(duplicate_literal_removal,[],[f1429])).
thf(f1437,plain,(
  ( ! [X0 : a] : (($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98)),
  inference(trivial_inequality_removal,[],[f1436])).
thf(f1441,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true = ((sK25 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25)))) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK26 @ (sK21 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25) @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)) ) | (~spl38_13 | ~spl38_98 | spl38_119)),
  inference(forward_subsumption_resolution,[],[f1437,f1395])).
thf(f1443,plain,(
  spl38_116 | spl38_120 | spl38_117 | ~spl38_13 | ~spl38_98 | spl38_119),
  inference(avatar_split_clause,[],[f1441,f1394,f1161,f160,f1387,f1398,f1383])).
thf(f1444,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_118 | ~spl38_120)),
  inference(superposition,[],[f1424,f1400])).
thf(f1448,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_118 | ~spl38_120)),
  inference(trivial_inequality_removal,[],[f1444])).
thf(f1459,plain,(
  spl38_121 | ~spl38_13 | ~spl38_118 | ~spl38_120),
  inference(avatar_split_clause,[],[f1448,f1398,f1390,f160,f1404])).
thf(f1469,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (~spl38_13 | ~spl38_116 | ~spl38_118)),
  inference(superposition,[],[f1425,f1385])).
thf(f1473,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_116 | ~spl38_118)),
  inference(trivial_inequality_removal,[],[f1469])).
thf(f1476,plain,(
  spl38_121 | ~spl38_13 | ~spl38_116 | ~spl38_118),
  inference(avatar_split_clause,[],[f1473,f1390,f1383,f160,f1404])).
thf(f1480,plain,(
  (((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_121)),
  inference(superposition,[],[f995,f1405])).
thf(f1482,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | ~spl38_121)),
  inference(trivial_inequality_removal,[],[f1480])).
thf(f1485,plain,(
  (((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | spl38_119 | ~spl38_121)),
  inference(forward_subsumption_resolution,[],[f1482,f1395])).
thf(f1488,definition,(
  spl38_126 <=> (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_126])],[avatar_definition])).
thf(f1490,plain,(
  (((sK25 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ~spl38_126),
  inference(avatar_component_clause,[],[f1488])).
thf(f1492,definition,(
  spl38_127 <=> (((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_127])],[avatar_definition])).
thf(f1494,plain,(
  (((sK26 @ (sK9 @ sK26 @ sK25) @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | ~spl38_127),
  inference(avatar_component_clause,[],[f1492])).
thf(f1495,plain,(
  spl38_126 | spl38_127 | ~spl38_13 | spl38_119 | ~spl38_121),
  inference(avatar_split_clause,[],[f1485,f1404,f1394,f160,f1492,f1488])).
thf(f1496,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | ~spl38_98 | ~spl38_127)),
  inference(superposition,[],[f1296,f1494])).
thf(f1499,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | ~spl38_98 | ~spl38_127)),
  inference(trivial_inequality_removal,[],[f1496])).
thf(f1506,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_127)),
  inference(superposition,[],[f62,f1499])).
thf(f1507,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_127)),
  inference(trivial_inequality_removal,[],[f1506])).
thf(f1512,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_121 | ~spl38_127)),
  inference(forward_subsumption_resolution,[],[f1507,f1405])).
thf(f1515,plain,(
  spl38_117 | ~spl38_13 | ~spl38_98 | ~spl38_121 | ~spl38_127),
  inference(avatar_split_clause,[],[f1512,f1492,f1404,f1161,f160,f1387])).
thf(f1516,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_117)),
  inference(superposition,[],[f1388,f983])).
thf(f1517,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK10 @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_117)),
  inference(trivial_inequality_removal,[],[f1516])).
thf(f1518,plain,(
  $false | (~spl38_13 | ~spl38_117 | spl38_119)),
  inference(forward_subsumption_resolution,[],[f1517,f1395])).
thf(f1519,plain,(
  ~spl38_13 | ~spl38_117 | spl38_119),
  inference(avatar_contradiction_clause,[],[f1518])).
thf(f1520,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | ~spl38_98 | ~spl38_126)),
  inference(superposition,[],[f1297,f1490])).
thf(f1524,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK19 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25)))) = $true) | (~spl38_13 | ~spl38_98 | ~spl38_126)),
  inference(trivial_inequality_removal,[],[f1520])).
thf(f1530,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_126)),
  inference(superposition,[],[f62,f1524])).
thf(f1532,plain,(
  ( ! [X0 : a] : ((((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sK12 @ sK26 @ sK25 @ (sK20 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_126)),
  inference(trivial_inequality_removal,[],[f1530])).
thf(f1536,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP1 @ X0 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) != $true)) ) | (~spl38_13 | ~spl38_98 | ~spl38_121 | ~spl38_126)),
  inference(forward_subsumption_resolution,[],[f1532,f1405])).
thf(f1539,plain,(
  spl38_117 | ~spl38_13 | ~spl38_98 | ~spl38_121 | ~spl38_126),
  inference(avatar_split_clause,[],[f1536,f1488,f1404,f1161,f160,f1387])).
thf(f1543,plain,(
  (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | (~spl38_13 | ~spl38_101)),
  inference(superposition,[],[f999,f1177])).
thf(f1546,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK9 @ sK26 @ sK25))) = $true) | (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_101)),
  inference(trivial_inequality_removal,[],[f1543])).
thf(f1549,plain,(
  (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | spl38_98 | ~spl38_101)),
  inference(forward_subsumption_resolution,[],[f1546,f1162])).
thf(f1551,definition,(
  spl38_128 <=> (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_128])],[avatar_definition])).
thf(f1553,plain,(
  (((sK25 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_128),
  inference(avatar_component_clause,[],[f1551])).
thf(f1555,definition,(
  spl38_129 <=> (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_129])],[avatar_definition])).
thf(f1557,plain,(
  (((sK26 @ (sK11 @ sK26 @ sK25) @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_129),
  inference(avatar_component_clause,[],[f1555])).
thf(f1558,plain,(
  spl38_128 | spl38_129 | ~spl38_13 | spl38_98 | ~spl38_101),
  inference(avatar_split_clause,[],[f1549,f1176,f1161,f160,f1555,f1551])).
thf(f1569,plain,(
  ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ($true != $true) | ~spl38_129),
  inference(superposition,[],[f43,f1557])).
thf(f1574,plain,(
  ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_129),
  inference(trivial_inequality_removal,[],[f1569])).
thf(f1575,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_129)),
  inference(forward_subsumption_resolution,[],[f1574,f162])).
thf(f1586,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true) | ($true != $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true)) ) | (~spl38_13 | ~spl38_129)),
  inference(superposition,[],[f66,f1575])).
thf(f1591,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_129)),
  inference(trivial_inequality_removal,[],[f1586])).
thf(f1594,plain,(
  ( ! [X0 : a] : ((((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ X0)) = $true)) ) | (~spl38_13 | ~spl38_101 | ~spl38_129)),
  inference(forward_subsumption_resolution,[],[f1591,f1177])).
thf(f1595,plain,(
  spl38_96 | ~spl38_13 | ~spl38_101 | ~spl38_129),
  inference(avatar_split_clause,[],[f1594,f1555,f1176,f160,f1154])).
thf(f1596,plain,(
  ($true != $true) | ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_128),
  inference(superposition,[],[f44,f1553])).
thf(f1601,plain,(
  ($true != ((sP4 @ sK26 @ sK25))) | (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | ~spl38_128),
  inference(trivial_inequality_removal,[],[f1596])).
thf(f1602,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK24 @ (sK12 @ sK26 @ sK25) @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_128)),
  inference(forward_subsumption_resolution,[],[f1601,f162])).
thf(f1607,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true) | (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | ($true != $true)) ) | (~spl38_13 | ~spl38_128)),
  inference(superposition,[],[f66,f1602])).
thf(f1608,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) != $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true)) ) | (~spl38_13 | ~spl38_128)),
  inference(trivial_inequality_removal,[],[f1607])).
thf(f1613,plain,(
  ( ! [X0 : a] : ((((sK12 @ sK26 @ sK25 @ X0)) = $true) | (((sP0 @ X0 @ (sK11 @ sK26 @ sK25) @ sK26 @ sK25)) != $true)) ) | (~spl38_13 | ~spl38_101 | ~spl38_128)),
  inference(forward_subsumption_resolution,[],[f1608,f1177])).
thf(f1616,plain,(
  spl38_96 | ~spl38_13 | ~spl38_101 | ~spl38_128),
  inference(avatar_split_clause,[],[f1613,f1551,f1176,f160,f1154])).
thf(f1623,plain,(
  ($true != $true) | (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_97 | ~spl38_100)),
  inference(superposition,[],[f1188,f1159])).
thf(f1627,plain,(
  (((sK12 @ sK26 @ sK25 @ (sK23 @ (sK12 @ sK26 @ sK25) @ sK26 @ sK25))) = $true) | (~spl38_13 | ~spl38_97 | ~spl38_100)),
  inference(trivial_inequality_removal,[],[f1623])).
thf(f1629,plain,(
  $false | (~spl38_13 | ~spl38_97 | ~spl38_100 | spl38_101)),
  inference(forward_subsumption_resolution,[],[f1627,f1178])).
thf(f1630,plain,(
  ~spl38_13 | ~spl38_97 | ~spl38_100 | spl38_101),
  inference(avatar_contradiction_clause,[],[f1629])).
thf(f1643,plain,(
  spl38_76 | ~spl38_1 | ~spl38_47),
  inference(avatar_split_clause,[],[f759,f455,f108,f767])).
thf(f1679,definition,(
  spl38_137 <=> ($true = ((sK31 @ (sK15 @ sK31 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_137])],[avatar_definition])).
thf(f1680,plain,(
  ($true != ((sK31 @ (sK15 @ sK31 @ sK25)))) | spl38_137),
  inference(avatar_component_clause,[],[f1679])).
thf(f1681,plain,(
  ($true = ((sK31 @ (sK15 @ sK31 @ sK25)))) | ~spl38_137),
  inference(avatar_component_clause,[],[f1679])).
thf(f1683,definition,(
  spl38_138 <=> (((sK31 @ (sK14 @ sK31 @ sK25))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_138])],[avatar_definition])).
thf(f1685,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) != $true) | spl38_138),
  inference(avatar_component_clause,[],[f1683])).
thf(f1688,definition,(
  spl38_139 <=> ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_139])],[avatar_definition])).
thf(f1690,plain,(
  ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25)))) | ~spl38_139),
  inference(avatar_component_clause,[],[f1688])).
thf(f1692,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) = $true) | (((sK25 @ sK29 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | ($true = ((sK31 @ sK30))) | ($true != $true) | (~spl38_8 | ~spl38_44 | ~spl38_137)),
  inference(superposition,[],[f875,f1681])).
thf(f1693,plain,(
  ($true = ((sK31 @ sK30))) | (((sK25 @ sK29 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | (((sK31 @ (sK14 @ sK31 @ sK25))) = $true) | (~spl38_8 | ~spl38_44 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1692])).
thf(f1694,plain,(
  (((sK25 @ sK29 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | ($true = ((sK31 @ sK30))) | (~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_137)),
  inference(forward_subsumption_resolution,[],[f1693,f439])).
thf(f1695,plain,(
  ($false = $true) | (((sK25 @ sK29 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | (~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_137)),
  inference(forward_demodulation,[],[f1694,f131])).
thf(f1696,plain,(
  (((sK25 @ sK29 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | (~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1695])).
thf(f1697,plain,(
  ($true != $true) | (((sK31 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_137)),
  inference(superposition,[],[f109,f1696])).
thf(f1701,plain,(
  (((sK31 @ (sK13 @ sK31 @ sK25 @ sK29))) = $true) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1697])).
thf(f1703,plain,(
  ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25)))) | ($true != $true) | ($true = ((sK31 @ sK30))) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137)),
  inference(superposition,[],[f452,f1701])).
thf(f1704,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) != $true) | ($true != $true) | ($true = ((sK31 @ sK30))) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137)),
  inference(superposition,[],[f448,f1701])).
thf(f1705,plain,(
  ($true = ((sK31 @ sK30))) | ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25)))) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1703])).
thf(f1706,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) != $true) | ($true = ((sK31 @ sK30))) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1704])).
thf(f1707,plain,(
  ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25)))) | ($false = $true) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137)),
  inference(forward_demodulation,[],[f1705,f131])).
thf(f1708,plain,(
  ($true = ((sK25 @ (sK15 @ sK31 @ sK25) @ (sK14 @ sK31 @ sK25)))) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1707])).
thf(f1709,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) != $true) | ($false = $true) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137)),
  inference(forward_demodulation,[],[f1706,f131])).
thf(f1710,plain,(
  (((sK31 @ (sK14 @ sK31 @ sK25))) != $true) | (~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137)),
  inference(trivial_inequality_removal,[],[f1709])).
thf(f1711,plain,(
  spl38_139 | ~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137),
  inference(avatar_split_clause,[],[f1708,f1679,f451,f442,f438,f138,f129,f108,f1688])).
thf(f1712,plain,(
  ~spl38_138 | ~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137),
  inference(avatar_split_clause,[],[f1710,f1679,f447,f442,f438,f138,f129,f108,f1683])).
thf(f1713,plain,(
  ($true != $true) | ($true != ((sK31 @ (sK15 @ sK31 @ sK25)))) | (((sK31 @ (sK14 @ sK31 @ sK25))) = $true) | (~spl38_8 | ~spl38_139)),
  inference(superposition,[],[f139,f1690])).
thf(f1715,plain,(
  ($true != ((sK31 @ (sK15 @ sK31 @ sK25)))) | (((sK31 @ (sK14 @ sK31 @ sK25))) = $true) | (~spl38_8 | ~spl38_139)),
  inference(trivial_inequality_removal,[],[f1713])).
thf(f1729,plain,(
  ($true != ((sK31 @ (sK15 @ sK31 @ sK25)))) | (~spl38_8 | spl38_138 | ~spl38_139)),
  inference(forward_subsumption_resolution,[],[f1715,f1685])).
thf(f1730,plain,(
  ~spl38_137 | ~spl38_8 | spl38_138 | ~spl38_139),
  inference(avatar_split_clause,[],[f1729,f1688,f1683,f138,f1679])).
thf(f1764,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ sK30)) = $true) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | ($true != $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true)) ) | ~spl38_9),
  inference(superposition,[],[f48,f144])).
thf(f1766,plain,(
  ( ! [X0 : (a > $o)] : ((((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ sK30)) = $true) | ($true != $true) | ($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true)) ) | ~spl38_9),
  inference(superposition,[],[f51,f144])).
thf(f1767,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((sK25 @ sK29 @ (sK13 @ X0 @ sK25 @ sK29))) = $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f1764])).
thf(f1768,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK15 @ X0 @ sK25)))) | (((sP2 @ sK30 @ sK29 @ sK26)) = $true) | (((X0 @ (sK13 @ X0 @ sK25 @ sK29))) != $true) | (((X0 @ sK30)) = $true)) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f1766])).
thf(f1778,plain,(
  ($true = ((sK31 @ (sK15 @ sK31 @ sK25)))) | ($true != $true) | ($true = ((sK31 @ sK30))) | ($true = ((sK31 @ (sK15 @ sK31 @ sK25)))) | ($true = ((sK31 @ sK30))) | (~spl38_25 | ~spl38_76)),
  inference(superposition,[],[f250,f768])).
thf(f1781,plain,(
  ($true != $true) | ($true = ((sK31 @ (sK15 @ sK31 @ sK25)))) | ($true = ((sK31 @ sK30))) | (~spl38_25 | ~spl38_76)),
  inference(duplicate_literal_removal,[],[f1778])).
thf(f1782,plain,(
  ($true = ((sK31 @ sK30))) | ($true = ((sK31 @ (sK15 @ sK31 @ sK25)))) | (~spl38_25 | ~spl38_76)),
  inference(trivial_inequality_removal,[],[f1781])).
thf(f1783,plain,(
  ($true = ((sK31 @ sK30))) | (~spl38_25 | ~spl38_76 | spl38_137)),
  inference(forward_subsumption_resolution,[],[f1782,f1680])).
thf(f1784,plain,(
  ($false = $true) | (~spl38_6 | ~spl38_25 | ~spl38_76 | spl38_137)),
  inference(forward_demodulation,[],[f1783,f131])).
thf(f1785,plain,(
  $false | (~spl38_6 | ~spl38_25 | ~spl38_76 | spl38_137)),
  inference(trivial_inequality_removal,[],[f1784])).
thf(f1786,plain,(
  ~spl38_6 | ~spl38_25 | ~spl38_76 | spl38_137),
  inference(avatar_contradiction_clause,[],[f1785])).
thf(f1789,plain,(
  spl38_47 | spl38_26 | ~spl38_9),
  inference(avatar_split_clause,[],[f1767,f142,f252,f455])).
thf(f1790,plain,(
  spl38_25 | spl38_26 | ~spl38_9),
  inference(avatar_split_clause,[],[f1768,f142,f252,f249])).
thf(f1793,plain,(
  ( ! [X0 : a] : ((((sK31 @ X0)) = $true) | ($true != $true) | ($true = ((sK31 @ sK30))) | (((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26))) | (((sK31 @ (sK16 @ sK31 @ sK26))) = $true)) ) | ~spl38_52),
  inference(superposition,[],[f56,f504])).
thf(f1796,plain,(
  ( ! [X0 : a] : ((((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ($true = ((sK31 @ sK30))) | (((sK31 @ X0)) = $true) | ($true != $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26)))) ) | ~spl38_52),
  inference(duplicate_literal_removal,[],[f1793])).
thf(f1797,plain,(
  ( ! [X0 : a] : ((((sK31 @ X0)) = $true) | (((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26))) | ($true = ((sK31 @ sK30)))) ) | ~spl38_52),
  inference(trivial_inequality_removal,[],[f1796])).
thf(f1799,plain,(
  ($true = ((sK31 @ sK30))) | ($true != $true) | (~spl38_26 | ~spl38_83)),
  inference(superposition,[],[f814,f254])).
thf(f1800,plain,(
  ( ! [X0 : (a > $o)] : ((((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ sK30)) = $true) | ($true = ((sK26 @ (sK16 @ X0 @ sK26) @ (sK17 @ X0 @ sK26)))) | ($true != $true)) ) | ~spl38_26),
  inference(superposition,[],[f57,f254])).
thf(f1802,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((X0 @ sK30)) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true) | (((X0 @ (sK17 @ X0 @ sK26))) != $true)) ) | ~spl38_26),
  inference(superposition,[],[f53,f254])).
thf(f1803,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK17 @ X0 @ sK26))) != $true) | (((X0 @ sK30)) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true)) ) | ~spl38_26),
  inference(trivial_inequality_removal,[],[f1802])).
thf(f1805,plain,(
  ($true = ((sK31 @ sK30))) | (~spl38_26 | ~spl38_83)),
  inference(trivial_inequality_removal,[],[f1799])).
thf(f1806,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK26 @ (sK16 @ X0 @ sK26) @ (sK17 @ X0 @ sK26)))) | (((X0 @ sK30)) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true)) ) | ~spl38_26),
  inference(trivial_inequality_removal,[],[f1800])).
thf(f1807,plain,(
  ($false = $true) | (~spl38_6 | ~spl38_26 | ~spl38_83)),
  inference(forward_demodulation,[],[f1805,f131])).
thf(f1808,plain,(
  $false | (~spl38_6 | ~spl38_26 | ~spl38_83)),
  inference(trivial_inequality_removal,[],[f1807])).
thf(f1809,plain,(
  ~spl38_6 | ~spl38_26 | ~spl38_83),
  inference(avatar_contradiction_clause,[],[f1808])).
thf(f1810,plain,(
  ( ! [X0 : a] : ((((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ($false = $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26))) | (((sK31 @ X0)) = $true)) ) | (~spl38_6 | ~spl38_52)),
  inference(forward_demodulation,[],[f1797,f131])).
thf(f1811,plain,(
  ( ! [X0 : a] : ((((sK31 @ X0)) = $true) | (((sK31 @ (sK16 @ sK31 @ sK26))) = $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26)))) ) | (~spl38_6 | ~spl38_52)),
  inference(trivial_inequality_removal,[],[f1810])).
thf(f1816,plain,(
  spl38_83 | spl38_81 | ~spl38_6 | ~spl38_52),
  inference(avatar_split_clause,[],[f1811,f503,f129,f805,f813])).
thf(f1852,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((sK31 @ (sK16 @ X0 @ sK26))) != $true) | (((X0 @ sK30)) = $true) | (((sK31 @ (sK17 @ X0 @ sK26))) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true)) ) | (~spl38_24 | ~spl38_26)),
  inference(superposition,[],[f213,f1806])).
thf(f1854,plain,(
  ( ! [X0 : (a > $o)] : ((((sK31 @ (sK16 @ X0 @ sK26))) != $true) | (((X0 @ sK30)) = $true) | (((sK31 @ (sK17 @ X0 @ sK26))) = $true) | (((sK26 @ sK29 @ (sK18 @ X0 @ sK29 @ sK26))) = $true)) ) | (~spl38_24 | ~spl38_26)),
  inference(trivial_inequality_removal,[],[f1852])).
thf(f1856,plain,(
  ($true = ((sK31 @ sK30))) | (((sK26 @ sK29 @ (sK18 @ sK31 @ sK29 @ sK26))) = $true) | ($true = ((sK31 @ (sK17 @ sK31 @ sK26)))) | ($true != $true) | (~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(superposition,[],[f1854,f807])).
thf(f1858,plain,(
  (((sK26 @ sK29 @ (sK18 @ sK31 @ sK29 @ sK26))) = $true) | ($true = ((sK31 @ (sK17 @ sK31 @ sK26)))) | ($true = ((sK31 @ sK30))) | (~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(trivial_inequality_removal,[],[f1856])).
thf(f1860,plain,(
  ($true = ((sK31 @ sK30))) | (((sK26 @ sK29 @ (sK18 @ sK31 @ sK29 @ sK26))) = $true) | (~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(forward_subsumption_resolution,[],[f1858,f1803])).
thf(f1862,plain,(
  ($false = $true) | (((sK26 @ sK29 @ (sK18 @ sK31 @ sK29 @ sK26))) = $true) | (~spl38_6 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(forward_demodulation,[],[f1860,f131])).
thf(f1863,plain,(
  (((sK26 @ sK29 @ (sK18 @ sK31 @ sK29 @ sK26))) = $true) | (~spl38_6 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(trivial_inequality_removal,[],[f1862])).
thf(f1879,plain,(
  ($true != $true) | ($true = ((sK31 @ (sK18 @ sK31 @ sK29 @ sK26)))) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(superposition,[],[f209,f1863])).
thf(f1883,plain,(
  ($true = ((sK31 @ (sK18 @ sK31 @ sK29 @ sK26)))) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(trivial_inequality_removal,[],[f1879])).
thf(f1885,plain,(
  ( ! [X0 : a] : ((((sK31 @ X0)) = $true) | ($true != ((sP2 @ X0 @ sK29 @ sK26))) | ($true != $true) | ($true = ((sK26 @ (sK16 @ sK31 @ sK26) @ (sK17 @ sK31 @ sK26))))) ) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(superposition,[],[f58,f1883])).
thf(f1887,plain,(
  ( ! [X0 : a] : ((((sK31 @ X0)) = $true) | ($true != $true) | ($true != ((sK31 @ (sK17 @ sK31 @ sK26)))) | ($true != ((sP2 @ X0 @ sK29 @ sK26)))) ) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(superposition,[],[f54,f1883])).
thf(f1889,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ X0 @ sK29 @ sK26))) | ($true = ((sK26 @ (sK16 @ sK31 @ sK26) @ (sK17 @ sK31 @ sK26)))) | (((sK31 @ X0)) = $true)) ) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(trivial_inequality_removal,[],[f1885])).
thf(f1890,plain,(
  ( ! [X0 : a] : (($true != ((sK31 @ (sK17 @ sK31 @ sK26)))) | ($true != ((sP2 @ X0 @ sK29 @ sK26))) | (((sK31 @ X0)) = $true)) ) | (~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81)),
  inference(trivial_inequality_removal,[],[f1887])).
thf(f1891,plain,(
  spl38_84 | spl38_83 | ~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81),
  inference(avatar_split_clause,[],[f1889,f805,f252,f212,f208,f129,f813,f818])).
thf(f1892,plain,(
  spl38_83 | ~spl38_82 | ~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81),
  inference(avatar_split_clause,[],[f1890,f805,f252,f212,f208,f129,f809,f813])).
thf(f1893,plain,(
  ($true = ((sK31 @ (sK17 @ sK31 @ sK26)))) | ($true != $true) | (((sK31 @ (sK16 @ sK31 @ sK26))) != $true) | (~spl38_24 | ~spl38_84)),
  inference(superposition,[],[f213,f820])).
thf(f1896,plain,(
  (((sK31 @ (sK16 @ sK31 @ sK26))) != $true) | ($true = ((sK31 @ (sK17 @ sK31 @ sK26)))) | (~spl38_24 | ~spl38_84)),
  inference(trivial_inequality_removal,[],[f1893])).
thf(f1906,plain,(
  ($true = ((sK31 @ (sK17 @ sK31 @ sK26)))) | (~spl38_24 | ~spl38_81 | ~spl38_84)),
  inference(forward_subsumption_resolution,[],[f1896,f807])).
thf(f1907,plain,(
  $false | (~spl38_24 | ~spl38_81 | spl38_82 | ~spl38_84)),
  inference(forward_subsumption_resolution,[],[f1906,f811])).
thf(f1908,plain,(
  ~spl38_24 | ~spl38_81 | spl38_82 | ~spl38_84),
  inference(avatar_contradiction_clause,[],[f1907])).
cnf(s1, plain, spl38_1 | spl38_2 | spl38_3, inference(sat_conversion,[],[f118])).
cnf(s3, plain, spl38_6 | spl38_7, inference(sat_conversion,[],[f136])).
cnf(s4, plain, spl38_2 | spl38_3 | spl38_8, inference(sat_conversion,[],[f140])).
cnf(s5, plain, spl38_9 | spl38_10, inference(sat_conversion,[],[f149])).
cnf(s7, plain, spl38_13 | spl38_14, inference(sat_conversion,[],[f167])).
cnf(s9, plain, spl38_16 | spl38_17, inference(sat_conversion,[],[f181])).
cnf(s11, plain, spl38_2 | spl38_3 | spl38_11, inference(sat_conversion,[],[f191])).
cnf(s12, plain, spl38_20 | spl38_21, inference(sat_conversion,[],[f200])).
cnf(s14, plain, spl38_2 | spl38_3 | ~spl38_7, inference(sat_conversion,[],[f206])).
cnf(s15, plain, spl38_2 | spl38_3 | spl38_23, inference(sat_conversion,[],[f210])).
cnf(s16, plain, spl38_2 | spl38_3 | spl38_24, inference(sat_conversion,[],[f214])).
cnf(s17, plain, ~spl38_16, inference(sat_conversion,[],[f215])).
cnf(s19, plain, ~spl38_2 | ~spl38_20, inference(sat_conversion,[],[f221])).
cnf(s23, plain, ~spl38_10 | ~spl38_11, inference(sat_conversion,[],[f261])).
cnf(s31, plain, ~spl38_3 | ~spl38_14, inference(sat_conversion,[],[f386])).
cnf(s45, plain, ~spl38_23 | ~spl38_26 | spl38_52, inference(sat_conversion,[],[f514])).
cnf(s50, plain, ~spl38_21 | spl38_33, inference(sat_conversion,[],[f572])).
cnf(s61, plain, ~spl38_9 | spl38_26 | spl38_43, inference(sat_conversion,[],[f743])).
cnf(s63, plain, ~spl38_9 | spl38_26 | spl38_45, inference(sat_conversion,[],[f745])).
cnf(s70, plain, ~spl38_9 | spl38_26 | spl38_44, inference(sat_conversion,[],[f788])).
cnf(s72, plain, ~spl38_9 | spl38_26 | spl38_46, inference(sat_conversion,[],[f790])).
cnf(s79, plain, ~spl38_17 | ~spl38_21 | ~spl38_58, inference(sat_conversion,[],[f860])).
cnf(s82, plain, ~spl38_17 | ~spl38_33 | spl38_58 | spl38_59, inference(sat_conversion,[],[f869])).
cnf(s83, plain, ~spl38_17 | ~spl38_21 | ~spl38_59 | spl38_85 | spl38_86, inference(sat_conversion,[],[f912])).
cnf(s84, plain, spl38_58 | ~spl38_60 | ~spl38_85, inference(sat_conversion,[],[f925])).
cnf(s86, plain, spl38_58 | ~spl38_60 | ~spl38_86, inference(sat_conversion,[],[f939])).
cnf(s87, plain, spl38_58 | spl38_61 | spl38_62 | ~spl38_86, inference(sat_conversion,[],[f940])).
cnf(s89, plain, ~spl38_59 | spl38_60 | ~spl38_62, inference(sat_conversion,[],[f956])).
cnf(s90, plain, spl38_58 | spl38_61 | spl38_62 | ~spl38_85, inference(sat_conversion,[],[f964])).
cnf(s92, plain, ~spl38_59 | spl38_60 | ~spl38_61, inference(sat_conversion,[],[f978])).
cnf(s100, plain, ~spl38_13 | spl38_96 | spl38_98 | spl38_100, inference(sat_conversion,[],[f1174])).
cnf(s102, plain, ~spl38_13 | ~spl38_96 | spl38_98, inference(sat_conversion,[],[f1183])).
cnf(s108, plain, ~spl38_13 | spl38_96 | spl38_97 | spl38_98 | spl38_99, inference(sat_conversion,[],[f1265])).
cnf(s109, plain, ~spl38_13 | ~spl38_99 | ~spl38_100 | spl38_101, inference(sat_conversion,[],[f1273])).
cnf(s122, plain, ~spl38_13 | ~spl38_98 | spl38_117 | spl38_118 | spl38_119, inference(sat_conversion,[],[f1402])).
cnf(s124, plain, ~spl38_13 | ~spl38_119, inference(sat_conversion,[],[f1418])).
cnf(s126, plain, ~spl38_13 | ~spl38_98 | spl38_116 | spl38_117 | spl38_119 | spl38_120, inference(sat_conversion,[],[f1443])).
cnf(s128, plain, ~spl38_13 | ~spl38_118 | ~spl38_120 | spl38_121, inference(sat_conversion,[],[f1459])).
cnf(s131, plain, ~spl38_13 | ~spl38_116 | ~spl38_118 | spl38_121, inference(sat_conversion,[],[f1476])).
cnf(s133, plain, ~spl38_13 | spl38_119 | ~spl38_121 | spl38_126 | spl38_127, inference(sat_conversion,[],[f1495])).
cnf(s134, plain, ~spl38_13 | ~spl38_98 | spl38_117 | ~spl38_121 | ~spl38_127, inference(sat_conversion,[],[f1515])).
cnf(s135, plain, ~spl38_13 | ~spl38_117 | spl38_119, inference(sat_conversion,[],[f1519])).
cnf(s136, plain, ~spl38_13 | ~spl38_98 | spl38_117 | ~spl38_121 | ~spl38_126, inference(sat_conversion,[],[f1539])).
cnf(s139, plain, ~spl38_13 | spl38_98 | ~spl38_101 | spl38_128 | spl38_129, inference(sat_conversion,[],[f1558])).
cnf(s141, plain, ~spl38_13 | spl38_96 | ~spl38_101 | ~spl38_129, inference(sat_conversion,[],[f1595])).
cnf(s142, plain, ~spl38_13 | spl38_96 | ~spl38_101 | ~spl38_128, inference(sat_conversion,[],[f1616])).
cnf(s144, plain, ~spl38_13 | ~spl38_97 | ~spl38_100 | spl38_101, inference(sat_conversion,[],[f1630])).
cnf(s148, plain, ~spl38_1 | ~spl38_47 | spl38_76, inference(sat_conversion,[],[f1643])).
cnf(s158, plain, ~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_46 | ~spl38_137 | spl38_139, inference(sat_conversion,[],[f1711])).
cnf(s159, plain, ~spl38_1 | ~spl38_6 | ~spl38_8 | ~spl38_43 | ~spl38_44 | ~spl38_45 | ~spl38_137 | ~spl38_138, inference(sat_conversion,[],[f1712])).
cnf(s162, plain, ~spl38_8 | ~spl38_137 | spl38_138 | ~spl38_139, inference(sat_conversion,[],[f1730])).
cnf(s167, plain, ~spl38_6 | ~spl38_25 | ~spl38_76 | spl38_137, inference(sat_conversion,[],[f1786])).
cnf(s169, plain, ~spl38_9 | spl38_26 | spl38_47, inference(sat_conversion,[],[f1789])).
cnf(s170, plain, ~spl38_9 | spl38_25 | spl38_26, inference(sat_conversion,[],[f1790])).
cnf(s172, plain, ~spl38_6 | ~spl38_26 | ~spl38_83, inference(sat_conversion,[],[f1809])).
cnf(s173, plain, ~spl38_6 | ~spl38_52 | spl38_81 | spl38_83, inference(sat_conversion,[],[f1816])).
cnf(s180, plain, ~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81 | spl38_83 | spl38_84, inference(sat_conversion,[],[f1891])).
cnf(s181, plain, ~spl38_6 | ~spl38_23 | ~spl38_24 | ~spl38_26 | ~spl38_81 | ~spl38_82 | spl38_83, inference(sat_conversion,[],[f1892])).
cnf(s183, plain, ~spl38_24 | ~spl38_81 | spl38_82 | ~spl38_84, inference(sat_conversion,[],[f1908])).
cnf(s184, plain, spl38_17, inference(rat,[],[s9,s17])).
cnf(s188, plain, spl38_98 | spl38_97 | spl38_96 | ~spl38_13, inference(rat,[],[s139,s141,s142,s109,s108,s100])).
cnf(s189, plain, ~spl38_121 | ~spl38_98 | ~spl38_13, inference(rat,[],[s133,s134,s136,s135,s124])).
cnf(s190, plain, ~spl38_98 | spl38_119 | spl38_117 | ~spl38_13, inference(rat,[],[s126,s131,s128,s189,s122])).
cnf(s191, plain, spl38_98 | spl38_96 | ~spl38_13, inference(rat,[],[s139,s141,s142,s144,s188,s100])).
cnf(s192, plain, spl38_98 | ~spl38_13, inference(rat,[],[s102,s191])).
cnf(s193, plain, spl38_119 | ~spl38_13 | spl38_117, inference(rat,[],[s192,s190])).
cnf(s194, plain, ~spl38_13 | spl38_119, inference(rat,[],[s193,s135])).
cnf(s195, plain, ~spl38_13, inference(rat,[],[s194,s124])).
cnf(s196, plain, spl38_14, inference(rat,[],[s7,s195])).
cnf(s197, plain, ~spl38_3, inference(rat,[],[s31,s196])).
cnf(s199, plain, spl38_60 | ~spl38_21, inference(rat,[],[s83,s87,s90,s89,s92,s82,s50,s79,s184])).
cnf(s200, plain, ~spl38_21, inference(rat,[],[s83,s84,s86,s199,s82,s50,s79,s184])).
cnf(s201, plain, spl38_20, inference(rat,[],[s12,s200])).
cnf(s202, plain, ~spl38_2, inference(rat,[],[s19,s201])).
cnf(s204, plain, spl38_1, inference(rat,[],[s1,s197,s202])).
cnf(s205, plain, spl38_24, inference(rat,[],[s16,s197,s202])).
cnf(s206, plain, spl38_23, inference(rat,[],[s15,s197,s202])).
cnf(s207, plain, ~spl38_7, inference(rat,[],[s14,s197,s202])).
cnf(s208, plain, spl38_11, inference(rat,[],[s11,s197,s202])).
cnf(s209, plain, spl38_8, inference(rat,[],[s4,s197,s202])).
cnf(s210, plain, spl38_6, inference(rat,[],[s3,s207])).
cnf(s211, plain, ~spl38_10, inference(rat,[],[s23,s208])).
cnf(s214, plain, spl38_9, inference(rat,[],[s5,s211])).
cnf(s216, plain, ~spl38_81 | spl38_83 | ~spl38_26, inference(rat,[],[s183,s180,s181,s206,s210,s205])).
cnf(s217, plain, ~spl38_26, inference(rat,[],[s216,s173,s45,s172,s210,s206])).
cnf(s218, plain, spl38_47, inference(rat,[],[s169,s214,s217])).
cnf(s219, plain, spl38_46, inference(rat,[],[s72,s214,s217])).
cnf(s220, plain, spl38_44, inference(rat,[],[s70,s214,s217])).
cnf(s221, plain, spl38_45, inference(rat,[],[s63,s214,s217])).
cnf(s222, plain, spl38_43, inference(rat,[],[s61,s214,s217])).
cnf(s223, plain, spl38_25, inference(rat,[],[s170,s214,s217])).
cnf(s224, plain, spl38_76, inference(rat,[],[s148,s204,s218])).
cnf(s226, plain, spl38_137, inference(rat,[],[s167,s223,s210,s224])).
cnf(s227, plain, ~spl38_138, inference(rat,[],[s159,s222,s220,s221,s209,s210,s204,s226])).
cnf(s228, plain, spl38_139, inference(rat,[],[s158,s222,s220,s219,s209,s210,s204,s226])).
cnf(s229, plain, $false, inference(rat,[],[s162,s226,s209,s228,s227])).
thf(f1909,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s229])).
% SZS output end Proof for theBenchmark