%----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 > $o) > (a > a > $o) > a > $o)).
thf(func_def_4, type, sP1: (a > (a > a > $o) > (a > a > $o) > a > $o)).
thf(func_def_5, type, sP2: ((a > a > $o) > a > a > $o)).
thf(func_def_6, type, sP3: ((a > a > $o) > a > a > (a > a > $o) > $o)).
thf(func_def_7, type, sP4: ((a > a > $o) > (a > a > $o) > $o)).
thf(func_def_8, type, sP5: (a > (a > a > $o) > (a > a > $o) > a > $o)).
thf(func_def_9, type, sK6: ((a > $o) > (a > a > $o) > (a > a > $o) > a > 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 > $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)).
thf(func_def_17, type, sK14: ((a > $o) > (a > a > $o) > a)).
thf(func_def_18, type, sK15: ((a > $o) > a > (a > a > $o) > a)).
thf(func_def_19, type, sK16: ((a > $o) > (a > a > $o) > a > a)).
thf(func_def_20, type, sK17: ((a > $o) > (a > a > $o) > a)).
thf(func_def_21, type, sK18: ((a > $o) > (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).
thf(func_def_29, type, sK26: a).
thf(func_def_30, type, sK27: (a > a > $o)).
thf(func_def_31, type, sK28: (a > a > $o)).
thf(func_def_32, type, sK29: (a > $o)).
thf(func_def_33, type, sK30: a).
thf(func_def_34, type, sK31: a).
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,(
  ! [X2 : a,X0 : (a > a > $o),X3 : a,X1 : (a > a > $o)] : (((! [X9 : a,X8 : a] : ((! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & (X1 @ X6 @ X7)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ 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) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X10)))) => ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))) => ! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3)))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251D_pme)).
thf(f2,negated_conjecture,(
  ~ ! [X2 : a,X0 : (a > a > $o),X3 : a,X1 : (a > a > $o)] : (((! [X9 : a,X8 : a] : ((! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & (X1 @ X6 @ X7)) => (X4 @ X7)) & ! [X5 : a] : ((X1 @ X8 @ X5) => (X4 @ X5))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X5 : a] : ((X0 @ X8 @ X5) => (X4 @ X5)) & ! [X7 : a,X6 : a] : (((X4 @ X6) & (X0 @ X6 @ X7)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : (((X4 @ X6) & ((X1 @ X6 @ X7) | (X0 @ 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) & ((X0 @ X6 @ X7) | (X1 @ X6 @ X7))) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a] : (((X0 @ X8 @ X5) | (X1 @ X8 @ X5)) => (X4 @ X5)) & ! [X7 : a,X6 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7))) => (X4 @ X10)))) => ! [X4 : (a > $o)] : ((! [X6 : a,X7 : a] : ((((X0 @ X6 @ X7) | (X1 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3))) => ! [X4 : (a > $o)] : ((! [X7 : a,X6 : a] : ((((X1 @ X6 @ X7) | (X0 @ X6 @ X7)) & (X4 @ X6)) => (X4 @ X7)) & ! [X5 : a] : (((X0 @ X2 @ X5) | (X1 @ X2 @ X5)) => (X4 @ X5))) => (X4 @ X3)))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~ ! [X0 : a,X1 : (a > a > $o),X2 : a,X3 : (a > a > $o)] : (((! [X4 : a,X5 : a] : ((! [X6 : (a > $o)] : ((! [X7 : a,X8 : a] : (((X6 @ X8) & (X3 @ X8 @ X7)) => (X6 @ X7)) & ! [X9 : a] : ((X3 @ X5 @ X9) => (X6 @ X9))) => (X6 @ X4)) | ! [X10 : (a > $o)] : ((! [X11 : a] : ((X1 @ X5 @ X11) => (X10 @ X11)) & ! [X12 : a,X13 : a] : (((X10 @ X13) & (X1 @ X13 @ X12)) => (X10 @ X12))) => (X10 @ X4))) => ! [X14 : (a > $o)] : ((! [X15 : a,X16 : a] : (((X14 @ X16) & ((X3 @ X16 @ X15) | (X1 @ X16 @ X15))) => (X14 @ X15)) & ! [X17 : a] : (((X3 @ X5 @ X17) | (X1 @ X5 @ X17)) => (X14 @ X17))) => (X14 @ X4))) & ! [X18 : a,X19 : a,X20 : a] : ((! [X21 : (a > $o)] : ((! [X22 : a] : (((X3 @ X20 @ X22) | (X1 @ X20 @ X22)) => (X21 @ X22)) & ! [X23 : a,X24 : a] : (((X21 @ X24) & ((X1 @ X24 @ X23) | (X3 @ X24 @ X23))) => (X21 @ X23))) => (X21 @ X18)) & ! [X25 : (a > $o)] : ((! [X26 : a] : (((X1 @ X19 @ X26) | (X3 @ X19 @ X26)) => (X25 @ X26)) & ! [X27 : a,X28 : a] : ((((X1 @ X28 @ X27) | (X3 @ X28 @ X27)) & (X25 @ X28)) => (X25 @ X27))) => (X25 @ X20))) => ! [X29 : (a > $o)] : ((! [X30 : a] : (((X1 @ X19 @ X30) | (X3 @ X19 @ X30)) => (X29 @ X30)) & ! [X31 : a,X32 : a] : ((((X1 @ X32 @ X31) | (X3 @ X32 @ X31)) & (X29 @ X32)) => (X29 @ X31))) => (X29 @ X18)))) => ! [X33 : (a > $o)] : ((! [X34 : a,X35 : a] : ((((X1 @ X34 @ X35) | (X3 @ X34 @ X35)) & (X33 @ X34)) => (X33 @ X35)) & ! [X36 : a] : (((X1 @ X0 @ X36) | (X3 @ X0 @ X36)) => (X33 @ X36))) => (X33 @ X2))) => ! [X37 : (a > $o)] : ((! [X38 : a,X39 : a] : ((((X3 @ X39 @ X38) | (X1 @ X39 @ X38)) & (X37 @ X39)) => (X37 @ X38)) & ! [X40 : a] : (((X1 @ X0 @ X40) | (X3 @ X0 @ X40)) => (X37 @ X40))) => (X37 @ X2)))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~ ! [X0 : a,X2 : a,X3 : (a > a > $o),X1 : (a > a > $o)] : (((! [X4 : a,X5 : a] : ((! [X10 : (a > $o)] : ((! [X11 : a] : (($true = ((X1 @ X5 @ X11))) => ($true = ((X10 @ X11)))) & ! [X12 : a,X13 : a] : ((($true = ((X1 @ X13 @ X12))) & (((X10 @ X13)) = $true)) => (((X10 @ X12)) = $true))) => ($true = ((X10 @ X4)))) | ! [X6 : (a > $o)] : ((! [X9 : a] : ((((X3 @ X5 @ X9)) = $true) => ($true = ((X6 @ X9)))) & ! [X8 : a,X7 : a] : ((($true = ((X6 @ X8))) & ($true = ((X3 @ X8 @ X7)))) => ($true = ((X6 @ X7))))) => ($true = ((X6 @ X4))))) => ! [X14 : (a > $o)] : ((! [X17 : a] : ((($true = ((X3 @ X5 @ X17))) | ($true = ((X1 @ X5 @ X17)))) => ($true = ((X14 @ X17)))) & ! [X15 : a,X16 : a] : ((($true = ((X14 @ X16))) & (($true = ((X1 @ X16 @ X15))) | ($true = ((X3 @ X16 @ X15))))) => ($true = ((X14 @ X15))))) => ($true = ((X14 @ X4))))) & ! [X19 : a,X20 : a,X18 : a] : ((! [X21 : (a > $o)] : ((! [X22 : a] : ((($true = ((X1 @ X20 @ X22))) | (((X3 @ X20 @ X22)) = $true)) => ($true = ((X21 @ X22)))) & ! [X24 : a,X23 : a] : ((($true = ((X21 @ X24))) & ((((X1 @ X24 @ X23)) = $true) | ($true = ((X3 @ X24 @ X23))))) => ($true = ((X21 @ X23))))) => ($true = ((X21 @ X18)))) & ! [X25 : (a > $o)] : ((! [X28 : a,X27 : a] : ((($true = ((X25 @ X28))) & ((((X3 @ X28 @ X27)) = $true) | (((X1 @ X28 @ X27)) = $true))) => ($true = ((X25 @ X27)))) & ! [X26 : a] : ((($true = ((X3 @ X19 @ X26))) | ($true = ((X1 @ X19 @ X26)))) => ($true = ((X25 @ X26))))) => (((X25 @ X20)) = $true))) => ! [X29 : (a > $o)] : ((! [X32 : a,X31 : a] : (((($true = ((X1 @ X32 @ X31))) | (((X3 @ X32 @ X31)) = $true)) & ($true = ((X29 @ X32)))) => ($true = ((X29 @ X31)))) & ! [X30 : a] : ((($true = ((X3 @ X19 @ X30))) | ($true = ((X1 @ X19 @ X30)))) => ($true = ((X29 @ X30))))) => ($true = ((X29 @ X18)))))) => ! [X33 : (a > $o)] : ((! [X35 : a,X34 : a] : (((($true = ((X1 @ X34 @ X35))) | ($true = ((X3 @ X34 @ X35)))) & ($true = ((X33 @ X34)))) => ($true = ((X33 @ X35)))) & ! [X36 : a] : ((($true = ((X3 @ X0 @ X36))) | ($true = ((X1 @ X0 @ X36)))) => ($true = ((X33 @ X36))))) => ($true = ((X33 @ X2))))) => ! [X37 : (a > $o)] : ((! [X40 : a] : ((($true = ((X1 @ X0 @ X40))) | ($true = ((X3 @ X0 @ X40)))) => ($true = ((X37 @ X40)))) & ! [X39 : a,X38 : a] : ((($true = ((X37 @ X39))) & (($true = ((X3 @ X39 @ X38))) | ($true = ((X1 @ X39 @ X38))))) => (((X37 @ X38)) = $true))) => ($true = ((X37 @ X2)))))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ? [X0 : a,X2 : a,X3 : (a > a > $o),X1 : (a > a > $o)] : (? [X37 : (a > $o)] : (($true != ((X37 @ X2))) & (! [X40 : a] : ((($true != ((X3 @ X0 @ X40))) & ($true != ((X1 @ X0 @ X40)))) | ($true = ((X37 @ X40)))) & ! [X39 : a,X38 : a] : ((((X37 @ X38)) = $true) | (($true != ((X37 @ X39))) | (($true != ((X3 @ X39 @ X38))) & ($true != ((X1 @ X39 @ X38)))))))) & (! [X33 : (a > $o)] : (($true = ((X33 @ X2))) | (? [X35 : a,X34 : a] : (($true != ((X33 @ X35))) & ((($true = ((X1 @ X34 @ X35))) | ($true = ((X3 @ X34 @ X35)))) & ($true = ((X33 @ X34))))) | ? [X36 : a] : (($true != ((X33 @ X36))) & (($true = ((X3 @ X0 @ X36))) | ($true = ((X1 @ X0 @ X36))))))) | (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != ((X14 @ X4))) & (! [X17 : a] : ((($true != ((X3 @ X5 @ X17))) & ($true != ((X1 @ X5 @ X17)))) | ($true = ((X14 @ X17)))) & ! [X15 : a,X16 : a] : (($true = ((X14 @ X15))) | (($true != ((X14 @ X16))) | (($true != ((X1 @ X16 @ X15))) & ($true != ((X3 @ X16 @ X15)))))))) & (! [X10 : (a > $o)] : (($true = ((X10 @ X4))) | (? [X11 : a] : (($true = ((X1 @ X5 @ X11))) & ($true != ((X10 @ X11)))) | ? [X12 : a,X13 : a] : ((((X10 @ X12)) != $true) & (($true = ((X1 @ X13 @ X12))) & (((X10 @ X13)) = $true))))) | ! [X6 : (a > $o)] : (($true = ((X6 @ X4))) | (? [X9 : a] : ((((X3 @ X5 @ X9)) = $true) & ($true != ((X6 @ X9)))) | ? [X8 : a,X7 : a] : (($true != ((X6 @ X7))) & (($true = ((X6 @ X8))) & ($true = ((X3 @ X8 @ X7))))))))) | ? [X19 : a,X20 : a,X18 : a] : (? [X29 : (a > $o)] : (($true != ((X29 @ X18))) & (! [X32 : a,X31 : a] : (($true = ((X29 @ X31))) | ((($true != ((X1 @ X32 @ X31))) & (((X3 @ X32 @ X31)) != $true)) | ($true != ((X29 @ X32))))) & ! [X30 : a] : ((($true != ((X1 @ X19 @ X30))) & ($true != ((X3 @ X19 @ X30)))) | ($true = ((X29 @ X30)))))) & (! [X21 : (a > $o)] : (($true = ((X21 @ X18))) | (? [X22 : a] : ((($true = ((X1 @ X20 @ X22))) | (((X3 @ X20 @ X22)) = $true)) & ($true != ((X21 @ X22)))) | ? [X24 : a,X23 : a] : (($true != ((X21 @ X23))) & (($true = ((X21 @ X24))) & ((((X1 @ X24 @ X23)) = $true) | ($true = ((X3 @ X24 @ X23)))))))) & ! [X25 : (a > $o)] : ((((X25 @ X20)) = $true) | (? [X28 : a,X27 : a] : (($true != ((X25 @ X27))) & (($true = ((X25 @ X28))) & ((((X3 @ X28 @ X27)) = $true) | (((X1 @ X28 @ X27)) = $true)))) | ? [X26 : a] : ((($true = ((X3 @ X19 @ X26))) | ($true = ((X1 @ X19 @ X26)))) & ($true != ((X25 @ X26)))))))))))),
  inference(ennf_transformation,[],[f4])).
thf(f6,plain,(
  ? [X0 : a,X2 : a,X3 : (a > a > $o),X1 : (a > a > $o)] : (? [X37 : (a > $o)] : (($true != ((X37 @ X2))) & ! [X38 : a,X39 : a] : ((($true != ((X3 @ X39 @ X38))) & ($true != ((X1 @ X39 @ X38)))) | ($true != ((X37 @ X39))) | (((X37 @ X38)) = $true)) & ! [X40 : a] : ((($true != ((X3 @ X0 @ X40))) & ($true != ((X1 @ X0 @ X40)))) | ($true = ((X37 @ X40))))) & (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != ((X14 @ X4))) & ! [X16 : a,X15 : a] : (($true = ((X14 @ X15))) | (($true != ((X1 @ X16 @ X15))) & ($true != ((X3 @ X16 @ X15)))) | ($true != ((X14 @ X16)))) & ! [X17 : a] : ((($true != ((X3 @ X5 @ X17))) & ($true != ((X1 @ X5 @ X17)))) | ($true = ((X14 @ X17))))) & (! [X6 : (a > $o)] : (? [X7 : a,X8 : a] : (($true = ((X3 @ X8 @ X7))) & ($true != ((X6 @ X7))) & ($true = ((X6 @ X8)))) | ($true = ((X6 @ X4))) | ? [X9 : a] : ((((X3 @ X5 @ X9)) = $true) & ($true != ((X6 @ X9))))) | ! [X10 : (a > $o)] : (($true = ((X10 @ X4))) | ? [X11 : a] : (($true = ((X1 @ X5 @ X11))) & ($true != ((X10 @ X11)))) | ? [X13 : a,X12 : a] : (($true = ((X1 @ X13 @ X12))) & (((X10 @ X13)) = $true) & (((X10 @ X12)) != $true))))) | ? [X19 : a,X20 : a,X18 : a] : (! [X21 : (a > $o)] : (? [X22 : a] : ((($true = ((X1 @ X20 @ X22))) | (((X3 @ X20 @ X22)) = $true)) & ($true != ((X21 @ X22)))) | ($true = ((X21 @ X18))) | ? [X23 : a,X24 : a] : (($true != ((X21 @ X23))) & ($true = ((X21 @ X24))) & ((((X1 @ X24 @ X23)) = $true) | ($true = ((X3 @ X24 @ X23)))))) & ? [X29 : (a > $o)] : (($true != ((X29 @ X18))) & ! [X30 : a] : ((($true != ((X1 @ X19 @ X30))) & ($true != ((X3 @ X19 @ X30)))) | ($true = ((X29 @ X30)))) & ! [X31 : a,X32 : a] : (($true != ((X29 @ X32))) | ($true = ((X29 @ X31))) | (($true != ((X1 @ X32 @ X31))) & (((X3 @ X32 @ X31)) != $true)))) & ! [X25 : (a > $o)] : ((((X25 @ X20)) = $true) | ? [X27 : a,X28 : a] : (($true = ((X25 @ X28))) & ((((X3 @ X28 @ X27)) = $true) | (((X1 @ X28 @ X27)) = $true)) & ($true != ((X25 @ X27)))) | ? [X26 : a] : ((($true = ((X3 @ X19 @ X26))) | ($true = ((X1 @ X19 @ X26)))) & ($true != ((X25 @ X26)))))) | ! [X33 : (a > $o)] : (? [X36 : a] : (($true != ((X33 @ X36))) & (($true = ((X3 @ X0 @ X36))) | ($true = ((X1 @ X0 @ X36))))) | ? [X35 : a,X34 : a] : (($true = ((X33 @ X34))) & (($true = ((X1 @ X34 @ X35))) | ($true = ((X3 @ X34 @ X35)))) & ($true != ((X33 @ X35)))) | ($true = ((X33 @ X2))))))),
  inference(flattening,[],[f5])).
thf(f7,definition,(
  ! [X20 : a,X3 : (a > a > $o),X1 : (a > a > $o),X19 : a] : (! [X25 : (a > $o)] : ((((X25 @ X20)) = $true) | ? [X27 : a,X28 : a] : (($true = ((X25 @ X28))) & ((((X3 @ X28 @ X27)) = $true) | (((X1 @ X28 @ X27)) = $true)) & ($true != ((X25 @ X27)))) | ? [X26 : a] : ((($true = ((X3 @ X19 @ X26))) | ($true = ((X1 @ X19 @ X26)))) & ($true != ((X25 @ X26))))) | ~ ($true = ((sP0 @ X19 @ X1 @ X3 @ X20))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f8,definition,(
  ! [X20 : a,X1 : (a > a > $o),X3 : (a > a > $o),X18 : a] : (! [X21 : (a > $o)] : (? [X22 : a] : ((($true = ((X1 @ X20 @ X22))) | (((X3 @ X20 @ X22)) = $true)) & ($true != ((X21 @ X22)))) | ($true = ((X21 @ X18))) | ? [X23 : a,X24 : a] : (($true != ((X21 @ X23))) & ($true = ((X21 @ X24))) & ((((X1 @ X24 @ X23)) = $true) | ($true = ((X3 @ X24 @ X23)))))) | ~ ($true = ((sP1 @ X18 @ X3 @ X1 @ X20))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f9,definition,(
  ! [X4 : a,X5 : a,X1 : (a > a > $o)] : (! [X10 : (a > $o)] : (($true = ((X10 @ X4))) | ? [X11 : a] : (($true = ((X1 @ X5 @ X11))) & ($true != ((X10 @ X11)))) | ? [X13 : a,X12 : a] : (($true = ((X1 @ X13 @ X12))) & (((X10 @ X13)) = $true) & (((X10 @ X12)) != $true))) | ~ ($true = ((sP2 @ X1 @ X5 @ X4))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f10,definition,(
  ! [X3 : (a > a > $o),X4 : a,X5 : a,X1 : (a > a > $o)] : (! [X6 : (a > $o)] : (? [X7 : a,X8 : a] : (($true = ((X3 @ X8 @ X7))) & ($true != ((X6 @ X7))) & ($true = ((X6 @ X8)))) | ($true = ((X6 @ X4))) | ? [X9 : a] : ((((X3 @ X5 @ X9)) = $true) & ($true != ((X6 @ X9))))) | ($true = ((sP2 @ X1 @ X5 @ X4))) | ~ ($true = ((sP3 @ X1 @ X5 @ X4 @ X3))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f11,definition,(
  ! [X1 : (a > a > $o),X3 : (a > a > $o)] : (? [X19 : a,X20 : a,X18 : a] : (($true = ((sP1 @ X18 @ X3 @ X1 @ X20))) & ? [X29 : (a > $o)] : (($true != ((X29 @ X18))) & ! [X30 : a] : ((($true != ((X1 @ X19 @ X30))) & ($true != ((X3 @ X19 @ X30)))) | ($true = ((X29 @ X30)))) & ! [X31 : a,X32 : a] : (($true != ((X29 @ X32))) | ($true = ((X29 @ X31))) | (($true != ((X1 @ X32 @ X31))) & (((X3 @ X32 @ X31)) != $true)))) & ($true = ((sP0 @ X19 @ X1 @ X3 @ X20)))) | ~ ($true = ((sP4 @ X3 @ X1))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f12,definition,(
  ! [X0 : a,X3 : (a > a > $o),X1 : (a > a > $o),X2 : a] : (! [X33 : (a > $o)] : (? [X36 : a] : (($true != ((X33 @ X36))) & (($true = ((X3 @ X0 @ X36))) | ($true = ((X1 @ X0 @ X36))))) | ? [X35 : a,X34 : a] : (($true = ((X33 @ X34))) & (($true = ((X1 @ X34 @ X35))) | ($true = ((X3 @ X34 @ X35)))) & ($true != ((X33 @ X35)))) | ($true = ((X33 @ X2)))) | ~ ($true = ((sP5 @ X2 @ X1 @ X3 @ X0))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f13,plain,(
  ? [X0 : a,X2 : a,X3 : (a > a > $o),X1 : (a > a > $o)] : (? [X37 : (a > $o)] : (($true != ((X37 @ X2))) & ! [X38 : a,X39 : a] : ((($true != ((X3 @ X39 @ X38))) & ($true != ((X1 @ X39 @ X38)))) | ($true != ((X37 @ X39))) | (((X37 @ X38)) = $true)) & ! [X40 : a] : ((($true != ((X3 @ X0 @ X40))) & ($true != ((X1 @ X0 @ X40)))) | ($true = ((X37 @ X40))))) & (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != ((X14 @ X4))) & ! [X16 : a,X15 : a] : (($true = ((X14 @ X15))) | (($true != ((X1 @ X16 @ X15))) & ($true != ((X3 @ X16 @ X15)))) | ($true != ((X14 @ X16)))) & ! [X17 : a] : ((($true != ((X3 @ X5 @ X17))) & ($true != ((X1 @ X5 @ X17)))) | ($true = ((X14 @ X17))))) & ($true = ((sP3 @ X1 @ X5 @ X4 @ X3)))) | ($true = ((sP4 @ X3 @ X1))) | ($true = ((sP5 @ X2 @ X1 @ X3 @ X0)))))),
  inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7])).
thf(f14,plain,(
  ! [X0 : a,X3 : (a > a > $o),X1 : (a > a > $o),X2 : a] : (! [X33 : (a > $o)] : (? [X36 : a] : (($true != ((X33 @ X36))) & (($true = ((X3 @ X0 @ X36))) | ($true = ((X1 @ X0 @ X36))))) | ? [X35 : a,X34 : a] : (($true = ((X33 @ X34))) & (($true = ((X1 @ X34 @ X35))) | ($true = ((X3 @ X34 @ X35)))) & ($true != ((X33 @ X35)))) | ($true = ((X33 @ X2)))) | ($true != ((sP5 @ X2 @ X1 @ X3 @ X0))))),
  inference(nnf_transformation,[],[f12])).
thf(f15,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))))) | ? [X6 : a,X7 : a] : ((((X4 @ X7)) = $true) & ((((X2 @ X7 @ X6)) = $true) | ($true = ((X1 @ X7 @ X6)))) & (((X4 @ X6)) != $true)) | (((X4 @ X3)) = $true)) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f14])).
thf(f16,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : ((($true != ((X4 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) & (($true = ((X1 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X2 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))))) | (($true = ((X4 @ (sK8 @ X4 @ X2 @ X1)))) & (($true = ((X2 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1))))) & ($true != ((X4 @ (sK7 @ X4 @ X2 @ X1))))) | (((X4 @ X3)) = $true)) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f15])).
thf(f17,plain,(
  ! [X1 : (a > a > $o),X3 : (a > a > $o)] : (? [X19 : a,X20 : a,X18 : a] : (($true = ((sP1 @ X18 @ X3 @ X1 @ X20))) & ? [X29 : (a > $o)] : (($true != ((X29 @ X18))) & ! [X30 : a] : ((($true != ((X1 @ X19 @ X30))) & ($true != ((X3 @ X19 @ X30)))) | ($true = ((X29 @ X30)))) & ! [X31 : a,X32 : a] : (($true != ((X29 @ X32))) | ($true = ((X29 @ X31))) | (($true != ((X1 @ X32 @ X31))) & (((X3 @ X32 @ X31)) != $true)))) & ($true = ((sP0 @ X19 @ X1 @ X3 @ X20)))) | ($true != ((sP4 @ X3 @ X1))))),
  inference(nnf_transformation,[],[f11])).
thf(f18,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (? [X2 : a,X3 : a,X4 : a] : ((((sP1 @ X4 @ X1 @ X0 @ X3)) = $true) & ? [X5 : (a > $o)] : (($true != ((X5 @ X4))) & ! [X6 : a] : ((($true != ((X0 @ X2 @ X6))) & ($true != ((X1 @ X2 @ X6)))) | ($true = ((X5 @ X6)))) & ! [X7 : a,X8 : a] : (($true != ((X5 @ X8))) | (((X5 @ X7)) = $true) | (($true != ((X0 @ X8 @ X7))) & ($true != ((X1 @ X8 @ X7)))))) & ($true = ((sP0 @ X2 @ X0 @ X1 @ X3)))) | ($true != ((sP4 @ X1 @ X0))))),
  inference(rectify,[],[f17])).
thf(f19,plain,(
  ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((($true = ((sP1 @ (sK11 @ X1 @ X0) @ X1 @ X0 @ (sK10 @ X1 @ X0)))) & (($true != ((sK12 @ X1 @ X0 @ (sK11 @ X1 @ X0)))) & ! [X6 : a] : ((($true != ((X0 @ (sK9 @ X1 @ X0) @ X6))) & ($true != ((X1 @ (sK9 @ X1 @ X0) @ X6)))) | ($true = ((sK12 @ X1 @ X0 @ X6)))) & ! [X7 : a,X8 : a] : (($true != ((sK12 @ X1 @ X0 @ X8))) | ($true = ((sK12 @ X1 @ X0 @ X7))) | (($true != ((X0 @ X8 @ X7))) & ($true != ((X1 @ X8 @ X7)))))) & ($true = ((sP0 @ (sK9 @ X1 @ X0) @ X0 @ X1 @ (sK10 @ X1 @ X0))))) | ($true != ((sP4 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f18])).
thf(f20,plain,(
  ! [X3 : (a > a > $o),X4 : a,X5 : a,X1 : (a > a > $o)] : (! [X6 : (a > $o)] : (? [X7 : a,X8 : a] : (($true = ((X3 @ X8 @ X7))) & ($true != ((X6 @ X7))) & ($true = ((X6 @ X8)))) | ($true = ((X6 @ X4))) | ? [X9 : a] : ((((X3 @ X5 @ X9)) = $true) & ($true != ((X6 @ X9))))) | ($true = ((sP2 @ X1 @ X5 @ X4))) | ($true != ((sP3 @ X1 @ X5 @ X4 @ X3))))),
  inference(nnf_transformation,[],[f10])).
thf(f21,plain,(
  ! [X0 : (a > a > $o),X1 : a,X2 : a,X3 : (a > a > $o)] : (! [X4 : (a > $o)] : (? [X5 : a,X6 : a] : (($true = ((X0 @ X6 @ X5))) & (((X4 @ X5)) != $true) & (((X4 @ X6)) = $true)) | ($true = ((X4 @ X1))) | ? [X7 : a] : (($true = ((X0 @ X2 @ X7))) & (((X4 @ X7)) != $true))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true != ((sP3 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f20])).
thf(f22,plain,(
  ! [X0 : (a > a > $o),X1 : a,X2 : a,X3 : (a > a > $o)] : (! [X4 : (a > $o)] : ((($true = ((X0 @ (sK14 @ X4 @ X0) @ (sK13 @ X4 @ X0)))) & ($true != ((X4 @ (sK13 @ X4 @ X0)))) & ($true = ((X4 @ (sK14 @ X4 @ X0))))) | ($true = ((X4 @ X1))) | (($true = ((X0 @ X2 @ (sK15 @ X4 @ X2 @ X0)))) & ($true != ((X4 @ (sK15 @ X4 @ X2 @ X0)))))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true != ((sP3 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f21])).
thf(f23,plain,(
  ! [X4 : a,X5 : a,X1 : (a > a > $o)] : (! [X10 : (a > $o)] : (($true = ((X10 @ X4))) | ? [X11 : a] : (($true = ((X1 @ X5 @ X11))) & ($true != ((X10 @ X11)))) | ? [X13 : a,X12 : a] : (($true = ((X1 @ X13 @ X12))) & (((X10 @ X13)) = $true) & (((X10 @ X12)) != $true))) | ($true != ((sP2 @ X1 @ X5 @ X4))))),
  inference(nnf_transformation,[],[f9])).
thf(f24,plain,(
  ! [X0 : a,X1 : a,X2 : (a > a > $o)] : (! [X3 : (a > $o)] : (($true = ((X3 @ X0))) | ? [X4 : a] : ((((X2 @ X1 @ X4)) = $true) & ($true != ((X3 @ X4)))) | ? [X5 : a,X6 : a] : (($true = ((X2 @ X5 @ X6))) & ($true = ((X3 @ X5))) & ($true != ((X3 @ X6))))) | ($true != ((sP2 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f23])).
thf(f25,plain,(
  ! [X0 : a,X1 : a,X2 : (a > a > $o)] : (! [X3 : (a > $o)] : (($true = ((X3 @ X0))) | (($true = ((X2 @ X1 @ (sK16 @ X3 @ X2 @ X1)))) & (((X3 @ (sK16 @ X3 @ X2 @ X1))) != $true)) | (($true = ((X2 @ (sK17 @ X3 @ X2) @ (sK18 @ X3 @ X2)))) & ($true = ((X3 @ (sK17 @ X3 @ X2)))) & ($true != ((X3 @ (sK18 @ X3 @ X2)))))) | ($true != ((sP2 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f24])).
thf(f26,plain,(
  ! [X20 : a,X1 : (a > a > $o),X3 : (a > a > $o),X18 : a] : (! [X21 : (a > $o)] : (? [X22 : a] : ((($true = ((X1 @ X20 @ X22))) | (((X3 @ X20 @ X22)) = $true)) & ($true != ((X21 @ X22)))) | ($true = ((X21 @ X18))) | ? [X23 : a,X24 : a] : (($true != ((X21 @ X23))) & ($true = ((X21 @ X24))) & ((((X1 @ X24 @ X23)) = $true) | ($true = ((X3 @ X24 @ X23)))))) | ($true != ((sP1 @ X18 @ X3 @ X1 @ X20))))),
  inference(nnf_transformation,[],[f8])).
thf(f27,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (? [X5 : a] : ((($true = ((X1 @ X0 @ X5))) | ($true = ((X2 @ X0 @ X5)))) & (((X4 @ X5)) != $true)) | (((X4 @ X3)) = $true) | ? [X6 : a,X7 : a] : ((((X4 @ X6)) != $true) & (((X4 @ X7)) = $true) & (($true = ((X1 @ X7 @ X6))) | (((X2 @ X7 @ X6)) = $true)))) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f26])).
thf(f28,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (((($true = ((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0))))) & (((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true)) | (((X4 @ X3)) = $true) | (($true != ((X4 @ (sK20 @ X4 @ X2 @ X1)))) & ($true = ((X4 @ (sK21 @ X4 @ X2 @ X1)))) & (($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))))))) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f27])).
thf(f29,plain,(
  ! [X20 : a,X3 : (a > a > $o),X1 : (a > a > $o),X19 : a] : (! [X25 : (a > $o)] : ((((X25 @ X20)) = $true) | ? [X27 : a,X28 : a] : (($true = ((X25 @ X28))) & ((((X3 @ X28 @ X27)) = $true) | (((X1 @ X28 @ X27)) = $true)) & ($true != ((X25 @ X27)))) | ? [X26 : a] : ((($true = ((X3 @ X19 @ X26))) | ($true = ((X1 @ X19 @ X26)))) & ($true != ((X25 @ X26))))) | ($true != ((sP0 @ X19 @ X1 @ X3 @ X20))))),
  inference(nnf_transformation,[],[f7])).
thf(f30,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (($true = ((X4 @ X0))) | ? [X5 : a,X6 : a] : ((((X4 @ X6)) = $true) & ((((X1 @ X6 @ X5)) = $true) | ($true = ((X2 @ X6 @ X5)))) & (((X4 @ X5)) != $true)) | ? [X7 : a] : ((($true = ((X1 @ X3 @ X7))) | ($true = ((X2 @ X3 @ X7)))) & (((X4 @ X7)) != $true))) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(rectify,[],[f29])).
thf(f31,plain,(
  ! [X0 : a,X1 : (a > a > $o),X2 : (a > a > $o),X3 : a] : (! [X4 : (a > $o)] : (($true = ((X4 @ X0))) | (($true = ((X4 @ (sK23 @ X4 @ X2 @ X1)))) & (($true = ((X1 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1))))) & ($true != ((X4 @ (sK22 @ X4 @ X2 @ X1))))) | ((($true = ((X1 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1)))) | ($true = ((X2 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1))))) & (((X4 @ (sK24 @ X4 @ X3 @ X2 @ X1))) != $true))) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1)),skolemize(X7,$thf(sK8 @ X4 @ X2 @ X1))],[f30])).
thf(f32,plain,(
  ? [X0 : a,X1 : a,X2 : (a > a > $o),X3 : (a > a > $o)] : (? [X4 : (a > $o)] : (($true != ((X4 @ X1))) & ! [X5 : a,X6 : a] : ((($true != ((X2 @ X6 @ X5))) & ($true != ((X3 @ X6 @ X5)))) | (((X4 @ X6)) != $true) | (((X4 @ X5)) = $true)) & ! [X7 : a] : ((($true != ((X2 @ X0 @ X7))) & ($true != ((X3 @ X0 @ X7)))) | (((X4 @ X7)) = $true))) & (? [X8 : a,X9 : a] : (? [X10 : (a > $o)] : ((((X10 @ X8)) != $true) & ! [X11 : a,X12 : a] : ((((X10 @ X12)) = $true) | (($true != ((X3 @ X11 @ X12))) & (((X2 @ X11 @ X12)) != $true)) | ($true != ((X10 @ X11)))) & ! [X13 : a] : ((($true != ((X2 @ X9 @ X13))) & ($true != ((X3 @ X9 @ X13)))) | (((X10 @ X13)) = $true))) & ($true = ((sP3 @ X3 @ X9 @ X8 @ X2)))) | (((sP4 @ X2 @ X3)) = $true) | ($true = ((sP5 @ X1 @ X3 @ X2 @ X0)))))),
  inference(rectify,[],[f13])).
thf(f33,plain,(
  (($true != ((sK29 @ sK26))) & ! [X5 : a,X6 : a] : ((($true != ((sK27 @ X6 @ X5))) & ($true != ((sK28 @ X6 @ X5)))) | ($true != ((sK29 @ X6))) | ($true = ((sK29 @ X5)))) & ! [X7 : a] : ((($true != ((sK27 @ sK25 @ X7))) & ($true != ((sK28 @ sK25 @ X7)))) | ($true = ((sK29 @ X7))))) & (((($true != ((sK32 @ sK30))) & ! [X11 : a,X12 : a] : (($true = ((sK32 @ X12))) | ((((sK28 @ X11 @ X12)) != $true) & (((sK27 @ X11 @ X12)) != $true)) | ($true != ((sK32 @ X11)))) & ! [X13 : a] : ((($true != ((sK27 @ sK31 @ X13))) & (((sK28 @ sK31 @ X13)) != $true)) | ($true = ((sK32 @ X13))))) & ($true = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27)))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,$thf(sK25)),skolemize(X1,$thf(sK26)),skolemize(X2,$thf(sK27)),skolemize(X3,$thf(sK28)),skolemize(X4,$thf(sK29)),skolemize(X8,$thf(sK30)),skolemize(X9,$thf(sK31)),skolemize(X10,$thf(sK32))],[f32])).
thf(f34,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ X3)) = $true) | ($true != ((X4 @ (sK7 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X2 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f16])).
thf(f35,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X2 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X1 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f36,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X4 @ (sK8 @ X4 @ X2 @ X1)))) | (((X4 @ X3)) = $true) | ($true = ((X2 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X1 @ X0 @ (sK6 @ X4 @ X2 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f16])).
thf(f37,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((X4 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true) | ($true != ((X4 @ (sK7 @ X4 @ X2 @ X1)))) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f16])).
thf(f38,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((X4 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true) | ($true = ((X2 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ (sK8 @ X4 @ X2 @ X1) @ (sK7 @ X4 @ X2 @ X1)))) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f16])).
thf(f39,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((X4 @ (sK6 @ X4 @ X2 @ X1 @ X0)))) | ($true != ((sP5 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X4 @ (sK8 @ X4 @ X2 @ X1)))) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f40,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true != ((sP4 @ X1 @ X0))) | ($true = ((sP0 @ (sK9 @ X1 @ X0) @ X0 @ X1 @ (sK10 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f19])).
thf(f41,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X8 : a,X7 : a] : (($true != ((sK12 @ X1 @ X0 @ X8))) | ($true != ((X1 @ X8 @ X7))) | ($true != ((sP4 @ X1 @ X0))) | ($true = ((sK12 @ X1 @ X0 @ X7)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f42,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X8 : a,X7 : a] : (($true != ((sK12 @ X1 @ X0 @ X8))) | ($true != ((X0 @ X8 @ X7))) | ($true != ((sP4 @ X1 @ X0))) | ($true = ((sK12 @ X1 @ X0 @ X7)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f43,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X6 : a] : (($true != ((X1 @ (sK9 @ X1 @ X0) @ X6))) | ($true != ((sP4 @ X1 @ X0))) | ($true = ((sK12 @ X1 @ X0 @ X6)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f44,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o),X6 : a] : (($true != ((X0 @ (sK9 @ X1 @ X0) @ X6))) | ($true != ((sP4 @ X1 @ X0))) | ($true = ((sK12 @ X1 @ X0 @ X6)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f45,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true != ((sK12 @ X1 @ X0 @ (sK11 @ X1 @ X0)))) | ($true != ((sP4 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f19])).
thf(f46,plain,(
  ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true != ((sP4 @ X1 @ X0))) | ($true = ((sP1 @ (sK11 @ X1 @ X0) @ X1 @ X0 @ (sK10 @ X1 @ X0))))) )),
  inference(cnf_transformation,[],[f19])).
thf(f47,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X4 @ X1))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true = ((X4 @ (sK14 @ X4 @ X0)))) | ($true != ((X4 @ (sK15 @ X4 @ X2 @ X0))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f48,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X4 @ X1))) | ($true = ((X4 @ (sK14 @ X4 @ X0)))) | ($true = ((X0 @ X2 @ (sK15 @ X4 @ X2 @ X0)))) | (((sP2 @ X3 @ X2 @ X1)) = $true)) )),
  inference(cnf_transformation,[],[f22])).
thf(f49,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true != ((X4 @ (sK13 @ X4 @ X0)))) | ($true != ((X4 @ (sK15 @ X4 @ X2 @ X0)))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true = ((X4 @ X1)))) )),
  inference(cnf_transformation,[],[f22])).
thf(f50,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true != ((X4 @ (sK13 @ X4 @ X0)))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true = ((X4 @ X1))) | ($true = ((X0 @ X2 @ (sK15 @ X4 @ X2 @ X0))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f51,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true != ((X4 @ (sK15 @ X4 @ X2 @ X0)))) | ($true = ((X4 @ X1))) | ($true = ((X0 @ (sK14 @ X4 @ X0) @ (sK13 @ X4 @ X0))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f52,plain,(
  ( ! [X2 : a,X3 : (a > a > $o),X0 : (a > a > $o),X1 : a,X4 : (a > $o)] : (($true != ((sP3 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X0 @ (sK14 @ X4 @ X0) @ (sK13 @ X4 @ X0)))) | ($true = ((X4 @ X1))) | (((sP2 @ X3 @ X2 @ X1)) = $true) | ($true = ((X0 @ X2 @ (sK15 @ X4 @ X2 @ X0))))) )),
  inference(cnf_transformation,[],[f22])).
thf(f53,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : ((((X3 @ (sK16 @ X3 @ X2 @ X1))) != $true) | ($true = ((X3 @ X0))) | ($true != ((X3 @ (sK18 @ X3 @ X2)))) | ($true != ((sP2 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f54,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : ((((X3 @ (sK16 @ X3 @ X2 @ X1))) != $true) | ($true != ((sP2 @ X2 @ X1 @ X0))) | ($true = ((X3 @ (sK17 @ X3 @ X2)))) | ($true = ((X3 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f55,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : ((((X3 @ (sK16 @ X3 @ X2 @ X1))) != $true) | ($true != ((sP2 @ X2 @ X1 @ X0))) | ($true = ((X2 @ (sK17 @ X3 @ X2) @ (sK18 @ X3 @ X2)))) | ($true = ((X3 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f56,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : (($true != ((X3 @ (sK18 @ X3 @ X2)))) | ($true = ((X2 @ X1 @ (sK16 @ X3 @ X2 @ X1)))) | ($true = ((X3 @ X0))) | ($true != ((sP2 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f25])).
thf(f57,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : (($true != ((sP2 @ X2 @ X1 @ X0))) | ($true = ((X3 @ (sK17 @ X3 @ X2)))) | ($true = ((X3 @ X0))) | ($true = ((X2 @ X1 @ (sK16 @ X3 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f25])).
thf(f58,plain,(
  ( ! [X2 : (a > a > $o),X3 : (a > $o),X0 : a,X1 : a] : (($true != ((sP2 @ X2 @ X1 @ X0))) | ($true = ((X2 @ X1 @ (sK16 @ X3 @ X2 @ X1)))) | ($true = ((X3 @ X0))) | ($true = ((X2 @ (sK17 @ X3 @ X2) @ (sK18 @ X3 @ X2))))) )),
  inference(cnf_transformation,[],[f25])).
thf(f59,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f60,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ X3)) = $true) | ($true = ((X4 @ (sK21 @ X4 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f61,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK19 @ X4 @ X2 @ X1 @ X0))) != $true) | (((X4 @ X3)) = $true) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | ($true != ((X4 @ (sK20 @ X4 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f62,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | ($true = ((X1 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X2 @ (sK21 @ X4 @ X2 @ X1) @ (sK20 @ X4 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f63,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | (((X4 @ X3)) = $true) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X4 @ (sK21 @ X4 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f28])).
thf(f64,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : (($true != ((sP1 @ X3 @ X2 @ X1 @ X0))) | ($true != ((X4 @ (sK20 @ X4 @ X2 @ X1)))) | ($true = ((X1 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | ($true = ((X2 @ X0 @ (sK19 @ X4 @ X2 @ X1 @ X0)))) | (((X4 @ X3)) = $true)) )),
  inference(cnf_transformation,[],[f28])).
thf(f65,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X3 @ X2 @ X1))) != $true) | ($true != ((X4 @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X4 @ X0))) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f66,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | ($true != ((X4 @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X4 @ X0))) | ($true = ((X1 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1)))) | ($true = ((X2 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f31])).
thf(f67,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X3 @ X2 @ X1))) != $true) | ($true = ((X1 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X4 @ X0))) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f31])).
thf(f68,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | ($true = ((X1 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1)))) | ($true = ((X2 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1)))) | ($true = ((X1 @ (sK23 @ X4 @ X2 @ X1) @ (sK22 @ X4 @ X2 @ X1)))) | ($true = ((X4 @ X0)))) )),
  inference(cnf_transformation,[],[f31])).
thf(f69,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((X4 @ (sK24 @ X4 @ X3 @ X2 @ X1))) != $true) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | ($true = ((X4 @ (sK23 @ X4 @ X2 @ X1)))) | ($true = ((X4 @ X0)))) )),
  inference(cnf_transformation,[],[f31])).
thf(f70,plain,(
  ( ! [X2 : (a > a > $o),X3 : a,X0 : a,X1 : (a > a > $o),X4 : (a > $o)] : ((((sP0 @ X3 @ X2 @ X1 @ X0)) != $true) | ($true = ((X1 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1)))) | ($true = ((X4 @ X0))) | ($true = ((X4 @ (sK23 @ X4 @ X2 @ X1)))) | ($true = ((X2 @ X3 @ (sK24 @ X4 @ X3 @ X2 @ X1))))) )),
  inference(cnf_transformation,[],[f31])).
thf(f71,plain,(
  ($true = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))),
  inference(cnf_transformation,[],[f33])).
thf(f72,plain,(
  ( ! [X13 : a] : ((((sK28 @ sK31 @ X13)) != $true) | ($true = ((sK32 @ X13))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f73,plain,(
  ( ! [X13 : a] : (($true != ((sK27 @ sK31 @ X13))) | ($true = ((sK32 @ X13))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f74,plain,(
  ( ! [X11 : a,X12 : a] : (($true = ((sK32 @ X12))) | (((sK27 @ X11 @ X12)) != $true) | ($true != ((sK32 @ X11))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f75,plain,(
  ( ! [X11 : a,X12 : a] : (($true = ((sK32 @ X12))) | (((sK28 @ X11 @ X12)) != $true) | ($true != ((sK32 @ X11))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f76,plain,(
  ($true != ((sK32 @ sK30))) | ($true = ((sP4 @ sK27 @ sK28))) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))),
  inference(cnf_transformation,[],[f33])).
thf(f77,plain,(
  ( ! [X7 : a] : (($true != ((sK28 @ sK25 @ X7))) | ($true = ((sK29 @ X7)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f78,plain,(
  ( ! [X7 : a] : (($true != ((sK27 @ sK25 @ X7))) | ($true = ((sK29 @ X7)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f79,plain,(
  ( ! [X6 : a,X5 : a] : (($true != ((sK28 @ X6 @ X5))) | ($true != ((sK29 @ X6))) | ($true = ((sK29 @ X5)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f80,plain,(
  ( ! [X6 : a,X5 : a] : (($true != ((sK27 @ X6 @ X5))) | ($true = ((sK29 @ X5))) | ($true != ((sK29 @ X6)))) )),
  inference(cnf_transformation,[],[f33])).
thf(f81,plain,(
  ($true != ((sK29 @ sK26)))),
  inference(cnf_transformation,[],[f33])).
thf(f84,definition,(
  (sF33 = ((sK29 @ sK26)))),
  introduced(definition,[new_symbols(definition,[sF33])],[function_definition])).
thf(f85,plain,(
  ($true != sF33)),
  inference(definition_folding,[],[f81,f84])).
thf(f86,definition,(
  (sF34 = ((sK32 @ sK30)))),
  introduced(definition,[new_symbols(definition,[sF34])],[function_definition])).
thf(f87,definition,(
  (sF35 = ((sP4 @ sK27 @ sK28)))),
  introduced(definition,[new_symbols(definition,[sF35])],[function_definition])).
thf(f88,plain,(
  (((sP4 @ sK27 @ sK28)) = sF35)),
  inference(reorient_equations,[],[f87])).
thf(f89,definition,(
  (sF36 = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))),
  introduced(definition,[new_symbols(definition,[sF36])],[function_definition])).
thf(f90,plain,(
  (((sP5 @ sK26 @ sK28 @ sK27 @ sK25)) = sF36)),
  inference(reorient_equations,[],[f89])).
thf(f91,plain,(
  ($true = sF35) | (sF34 != $true) | ($true = sF36)),
  inference(definition_folding,[],[f76,f90,f88,f86])).
thf(f92,plain,(
  ( ! [X11 : a,X12 : a] : ((((sK28 @ X11 @ X12)) != $true) | ($true = sF36) | ($true = ((sK32 @ X12))) | ($true != ((sK32 @ X11))) | ($true = sF35)) )),
  inference(definition_folding,[],[f75,f90,f88])).
thf(f93,plain,(
  ( ! [X11 : a,X12 : a] : ((((sK27 @ X11 @ X12)) != $true) | ($true = sF36) | ($true = sF35) | ($true != ((sK32 @ X11))) | ($true = ((sK32 @ X12)))) )),
  inference(definition_folding,[],[f74,f90,f88])).
thf(f94,plain,(
  ( ! [X13 : a] : (($true = sF36) | ($true = ((sK32 @ X13))) | ($true = sF35) | ($true != ((sK27 @ sK31 @ X13)))) )),
  inference(definition_folding,[],[f73,f90,f88])).
thf(f95,plain,(
  ( ! [X13 : a] : (($true = ((sK32 @ X13))) | ($true = sF35) | ($true = sF36) | (((sK28 @ sK31 @ X13)) != $true)) )),
  inference(definition_folding,[],[f72,f90,f88])).
thf(f96,definition,(
  (sF37 = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27)))),
  introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
thf(f97,plain,(
  (((sP3 @ sK28 @ sK31 @ sK30 @ sK27)) = sF37)),
  inference(reorient_equations,[],[f96])).
thf(f98,plain,(
  ($true = sF37) | ($true = sF35) | ($true = sF36)),
  inference(definition_folding,[],[f71,f90,f88,f97])).
thf(f99,plain,(
  (sF36 = $false) | ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))),
  inference(iff_proxy_clausification,[],[f90])).
thf(f101,plain,(
  (sF37 = $false) | ($true = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27)))),
  inference(iff_proxy_clausification,[],[f97])).
thf(f103,plain,(
  ($true = ((sP4 @ sK27 @ sK28))) | (sF35 = $false)),
  inference(iff_proxy_clausification,[],[f88])).
thf(f105,plain,(
  ($true = sF33) | (((sK29 @ sK26)) = $false)),
  inference(iff_proxy_clausification,[],[f84])).
thf(f107,plain,(
  (sF34 = $true) | (((sK32 @ sK30)) = $false)),
  inference(iff_proxy_clausification,[],[f86])).
thf(f114,definition,(
  spl38_2 <=> ($true = sF36)),
  introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition])).
thf(f116,plain,(
  ($true = sF36) | ~spl38_2),
  inference(avatar_component_clause,[],[f114])).
thf(f119,definition,(
  spl38_3 <=> (sF36 = $false)),
  introduced(definition,[new_symbols(definition,[spl38_3])],[avatar_definition])).
thf(f121,plain,(
  (sF36 = $false) | ~spl38_3),
  inference(avatar_component_clause,[],[f119])).
thf(f123,definition,(
  spl38_4 <=> ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25)))),
  introduced(definition,[new_symbols(definition,[spl38_4])],[avatar_definition])).
thf(f125,plain,(
  ($true = ((sP5 @ sK26 @ sK28 @ sK27 @ sK25))) | ~spl38_4),
  inference(avatar_component_clause,[],[f123])).
thf(f126,plain,(
  spl38_3 | spl38_4),
  inference(avatar_split_clause,[],[f99,f123,f119])).
thf(f128,definition,(
  spl38_5 <=> ! [X13 : a] : (($true = ((sK32 @ X13))) | (((sK28 @ sK31 @ X13)) != $true))),
  introduced(definition,[new_symbols(definition,[spl38_5])],[avatar_definition])).
thf(f129,plain,(
  ( ! [X13 : a] : ((((sK28 @ sK31 @ X13)) != $true) | ($true = ((sK32 @ X13)))) ) | ~spl38_5),
  inference(avatar_component_clause,[],[f128])).
thf(f131,definition,(
  spl38_6 <=> ($true = sF35)),
  introduced(definition,[new_symbols(definition,[spl38_6])],[avatar_definition])).
thf(f133,plain,(
  ($true = sF35) | ~spl38_6),
  inference(avatar_component_clause,[],[f131])).
thf(f134,plain,(
  spl38_2 | spl38_5 | spl38_6),
  inference(avatar_split_clause,[],[f95,f131,f128,f114])).
thf(f140,definition,(
  spl38_8 <=> ($true = sF37)),
  introduced(definition,[new_symbols(definition,[spl38_8])],[avatar_definition])).
thf(f142,plain,(
  ($true = sF37) | ~spl38_8),
  inference(avatar_component_clause,[],[f140])).
thf(f145,definition,(
  spl38_9 <=> ($true = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27)))),
  introduced(definition,[new_symbols(definition,[spl38_9])],[avatar_definition])).
thf(f147,plain,(
  ($true = ((sP3 @ sK28 @ sK31 @ sK30 @ sK27))) | ~spl38_9),
  inference(avatar_component_clause,[],[f145])).
thf(f149,definition,(
  spl38_10 <=> (sF37 = $false)),
  introduced(definition,[new_symbols(definition,[spl38_10])],[avatar_definition])).
thf(f151,plain,(
  (sF37 = $false) | ~spl38_10),
  inference(avatar_component_clause,[],[f149])).
thf(f152,plain,(
  spl38_9 | spl38_10),
  inference(avatar_split_clause,[],[f101,f149,f145])).
thf(f154,definition,(
  spl38_11 <=> ! [X11 : a,X12 : a] : ((((sK28 @ X11 @ X12)) != $true) | ($true != ((sK32 @ X11))) | ($true = ((sK32 @ X12))))),
  introduced(definition,[new_symbols(definition,[spl38_11])],[avatar_definition])).
thf(f155,plain,(
  ( ! [X11 : a,X12 : a] : ((((sK28 @ X11 @ X12)) != $true) | ($true = ((sK32 @ X12))) | ($true != ((sK32 @ X11)))) ) | ~spl38_11),
  inference(avatar_component_clause,[],[f154])).
thf(f156,plain,(
  spl38_2 | spl38_6 | spl38_11),
  inference(avatar_split_clause,[],[f92,f154,f131,f114])).
thf(f158,definition,(
  spl38_12 <=> ! [X13 : a] : (($true = ((sK32 @ X13))) | ($true != ((sK27 @ sK31 @ X13))))),
  introduced(definition,[new_symbols(definition,[spl38_12])],[avatar_definition])).
thf(f159,plain,(
  ( ! [X13 : a] : (($true != ((sK27 @ sK31 @ X13))) | ($true = ((sK32 @ X13)))) ) | ~spl38_12),
  inference(avatar_component_clause,[],[f158])).
thf(f160,plain,(
  spl38_6 | spl38_2 | spl38_12),
  inference(avatar_split_clause,[],[f94,f158,f114,f131])).
thf(f167,definition,(
  spl38_14 <=> ($true = ((sP4 @ sK27 @ sK28)))),
  introduced(definition,[new_symbols(definition,[spl38_14])],[avatar_definition])).
thf(f169,plain,(
  ($true = ((sP4 @ sK27 @ sK28))) | ~spl38_14),
  inference(avatar_component_clause,[],[f167])).
thf(f171,definition,(
  spl38_15 <=> (sF35 = $false)),
  introduced(definition,[new_symbols(definition,[spl38_15])],[avatar_definition])).
thf(f173,plain,(
  (sF35 = $false) | ~spl38_15),
  inference(avatar_component_clause,[],[f171])).
thf(f174,plain,(
  spl38_14 | spl38_15),
  inference(avatar_split_clause,[],[f103,f171,f167])).
thf(f176,definition,(
  spl38_16 <=> ! [X11 : a,X12 : a] : ((((sK27 @ X11 @ X12)) != $true) | ($true = ((sK32 @ X12))) | ($true != ((sK32 @ X11))))),
  introduced(definition,[new_symbols(definition,[spl38_16])],[avatar_definition])).
thf(f177,plain,(
  ( ! [X11 : a,X12 : a] : ((((sK27 @ X11 @ X12)) != $true) | ($true = ((sK32 @ X12))) | ($true != ((sK32 @ X11)))) ) | ~spl38_16),
  inference(avatar_component_clause,[],[f176])).
thf(f178,plain,(
  spl38_16 | spl38_2 | spl38_6),
  inference(avatar_split_clause,[],[f93,f131,f114,f176])).
thf(f179,plain,(
  spl38_8 | spl38_6 | spl38_2),
  inference(avatar_split_clause,[],[f98,f114,f131,f140])).
thf(f190,definition,(
  spl38_19 <=> (((sK29 @ sK26)) = $false)),
  introduced(definition,[new_symbols(definition,[spl38_19])],[avatar_definition])).
thf(f192,plain,(
  (((sK29 @ sK26)) = $false) | ~spl38_19),
  inference(avatar_component_clause,[],[f190])).
thf(f194,definition,(
  spl38_20 <=> ($true = sF33)),
  introduced(definition,[new_symbols(definition,[spl38_20])],[avatar_definition])).
thf(f197,plain,(
  spl38_19 | spl38_20),
  inference(avatar_split_clause,[],[f105,f194,f190])).
thf(f198,plain,(
  ~spl38_20),
  inference(avatar_split_clause,[],[f85,f194])).
thf(f200,definition,(
  spl38_21 <=> (sF34 = $true)),
  introduced(definition,[new_symbols(definition,[spl38_21])],[avatar_definition])).
thf(f203,plain,(
  ~spl38_21 | spl38_6 | spl38_2),
  inference(avatar_split_clause,[],[f91,f114,f131,f200])).
thf(f205,definition,(
  spl38_22 <=> ($true = ((sK32 @ sK30)))),
  introduced(definition,[new_symbols(definition,[spl38_22])],[avatar_definition])).
thf(f206,plain,(
  ($true != ((sK32 @ sK30))) | spl38_22),
  inference(avatar_component_clause,[],[f205])).
thf(f207,plain,(
  ($true = ((sK32 @ sK30))) | ~spl38_22),
  inference(avatar_component_clause,[],[f205])).
thf(f214,definition,(
  spl38_24 <=> (((sK32 @ sK30)) = $false)),
  introduced(definition,[new_symbols(definition,[spl38_24])],[avatar_definition])).
thf(f216,plain,(
  (((sK32 @ sK30)) = $false) | ~spl38_24),
  inference(avatar_component_clause,[],[f214])).
thf(f217,plain,(
  spl38_24 | spl38_21),
  inference(avatar_split_clause,[],[f107,f200,f214])).
thf(f219,plain,(
  ($true = $false) | (~spl38_2 | ~spl38_3)),
  inference(superposition,[],[f116,f121])).
thf(f222,plain,(
  $false | (~spl38_2 | ~spl38_3)),
  inference(trivial_inequality_removal,[],[f219])).
thf(f223,plain,(
  ~spl38_2 | ~spl38_3),
  inference(avatar_contradiction_clause,[],[f222])).
thf(f253,definition,(
  spl38_25 <=> ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))))),
  introduced(definition,[new_symbols(definition,[spl38_25])],[avatar_definition])).
thf(f254,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((X0 @ (sK14 @ X0 @ sK27))))) ) | ~spl38_25),
  inference(avatar_component_clause,[],[f253])).
thf(f256,definition,(
  spl38_26 <=> ($true = ((sP2 @ sK28 @ sK31 @ sK30)))),
  introduced(definition,[new_symbols(definition,[spl38_26])],[avatar_definition])).
thf(f257,plain,(
  ($true != ((sP2 @ sK28 @ sK31 @ sK30))) | spl38_26),
  inference(avatar_component_clause,[],[f256])).
thf(f258,plain,(
  ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ~spl38_26),
  inference(avatar_component_clause,[],[f256])).
thf(f261,plain,(
  ($true = $false) | (~spl38_8 | ~spl38_10)),
  inference(superposition,[],[f142,f151])).
thf(f262,plain,(
  $false | (~spl38_8 | ~spl38_10)),
  inference(trivial_inequality_removal,[],[f261])).
thf(f263,plain,(
  ~spl38_8 | ~spl38_10),
  inference(avatar_contradiction_clause,[],[f262])).
thf(f269,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK30))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true != $true) | ($true = ((X0 @ (sK14 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(superposition,[],[f47,f147])).
thf(f271,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30)))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f269])).
thf(f273,definition,(
  spl38_27 <=> ! [X0 : (a > $o)] : (($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK13 @ X0 @ sK27)))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))))),
  introduced(definition,[new_symbols(definition,[spl38_27])],[avatar_definition])).
thf(f274,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK13 @ X0 @ sK27))))) ) | ~spl38_27),
  inference(avatar_component_clause,[],[f273])).
thf(f276,plain,(
  spl38_25 | spl38_26 | ~spl38_9),
  inference(avatar_split_clause,[],[f271,f145,f256,f253])).
thf(f399,plain,(
  ($true = $false) | (~spl38_6 | ~spl38_15)),
  inference(superposition,[],[f133,f173])).
thf(f402,plain,(
  $false | (~spl38_6 | ~spl38_15)),
  inference(trivial_inequality_removal,[],[f399])).
thf(f403,plain,(
  ~spl38_6 | ~spl38_15),
  inference(avatar_contradiction_clause,[],[f402])).
thf(f537,definition,(
  spl38_57 <=> ! [X0 : (a > $o)] : (($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true = ((X0 @ sK26))) | ($true = ((sK29 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))))),
  introduced(definition,[new_symbols(definition,[spl38_57])],[avatar_definition])).
thf(f538,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK29 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true = ((X0 @ sK26)))) ) | ~spl38_57),
  inference(avatar_component_clause,[],[f537])).
thf(f554,plain,(
  ($true = $false) | (~spl38_22 | ~spl38_24)),
  inference(superposition,[],[f207,f216])).
thf(f555,plain,(
  $false | (~spl38_22 | ~spl38_24)),
  inference(trivial_inequality_removal,[],[f554])).
thf(f556,plain,(
  ~spl38_22 | ~spl38_24),
  inference(avatar_contradiction_clause,[],[f555])).
thf(f577,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true != $true) | ($true = ((sP2 @ sK28 @ sK31 @ sK30)))) ) | ~spl38_9),
  inference(superposition,[],[f48,f147])).
thf(f578,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((X0 @ sK30))) | ($true != $true) | ($true != ((X0 @ (sK13 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(superposition,[],[f49,f147])).
thf(f582,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK30))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true != ((X0 @ (sK13 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f578])).
thf(f583,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27))))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f577])).
thf(f587,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK13 @ X0 @ sK27))))) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f582,f257])).
thf(f588,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((X0 @ (sK14 @ X0 @ sK27))))) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f583,f257])).
thf(f591,plain,(
  spl38_27 | ~spl38_9 | spl38_26),
  inference(avatar_split_clause,[],[f587,f256,f145,f273])).
thf(f597,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK32 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true != $true) | ($true = ((X0 @ sK30)))) ) | (~spl38_9 | ~spl38_12 | spl38_26)),
  inference(superposition,[],[f159,f588])).
thf(f608,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK32 @ (sK15 @ X0 @ sK31 @ sK27))))) ) | (~spl38_9 | ~spl38_12 | spl38_26)),
  inference(trivial_inequality_removal,[],[f597])).
thf(f628,definition,(
  spl38_64 <=> ! [X0 : (a > $o)] : (($true = ((sK32 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))))),
  introduced(definition,[new_symbols(definition,[spl38_64])],[avatar_definition])).
thf(f629,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK32 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ (sK14 @ X0 @ sK27)))) | ($true = ((X0 @ sK30)))) ) | ~spl38_64),
  inference(avatar_component_clause,[],[f628])).
thf(f635,plain,(
  spl38_64 | ~spl38_9 | ~spl38_12 | spl38_26),
  inference(avatar_split_clause,[],[f608,f256,f158,f145,f628])).
thf(f782,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true != $true) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26)))) ) | ~spl38_4),
  inference(superposition,[],[f36,f125])).
thf(f786,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26))) | ($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25))))) ) | ~spl38_4),
  inference(trivial_inequality_removal,[],[f782])).
thf(f800,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK26))) | ($true != $true) | ($true = ((sK29 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27))))) ) | ~spl38_4),
  inference(superposition,[],[f77,f786])).
thf(f812,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK29 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26))) | ($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27))))) ) | ~spl38_4),
  inference(trivial_inequality_removal,[],[f800])).
thf(f813,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true = ((X0 @ sK26))) | ($true = ((sK29 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25))))) ) | ~spl38_4),
  inference(forward_subsumption_resolution,[],[f812,f78])).
thf(f814,plain,(
  spl38_57 | ~spl38_4),
  inference(avatar_split_clause,[],[f813,f123,f537])).
thf(f829,definition,(
  spl38_79 <=> ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0))))),
  introduced(definition,[new_symbols(definition,[spl38_79])],[avatar_definition])).
thf(f830,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0)))) ) | ~spl38_79),
  inference(avatar_component_clause,[],[f829])).
thf(f832,definition,(
  spl38_80 <=> ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_80])],[avatar_definition])).
thf(f834,plain,(
  ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | ~spl38_80),
  inference(avatar_component_clause,[],[f832])).
thf(f837,definition,(
  spl38_81 <=> ($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_81])],[avatar_definition])).
thf(f839,plain,(
  ($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ~spl38_81),
  inference(avatar_component_clause,[],[f837])).
thf(f841,definition,(
  spl38_82 <=> ($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_82])],[avatar_definition])).
thf(f843,plain,(
  ($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ~spl38_82),
  inference(avatar_component_clause,[],[f841])).
thf(f846,definition,(
  spl38_83 <=> (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_83])],[avatar_definition])).
thf(f847,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ~spl38_83),
  inference(avatar_component_clause,[],[f846])).
thf(f848,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) != $true) | spl38_83),
  inference(avatar_component_clause,[],[f846])).
thf(f889,plain,(
  ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | ($true = ((sK32 @ sK30))) | ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | ($true = ((sK32 @ sK30))) | ($true != $true) | (~spl38_25 | ~spl38_64)),
  inference(superposition,[],[f254,f629])).
thf(f892,plain,(
  ($true != $true) | ($true = ((sK32 @ sK30))) | ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | (~spl38_25 | ~spl38_64)),
  inference(duplicate_literal_removal,[],[f889])).
thf(f893,plain,(
  ($true = ((sK32 @ sK30))) | ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | (~spl38_25 | ~spl38_64)),
  inference(trivial_inequality_removal,[],[f892])).
thf(f895,plain,(
  ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | (spl38_22 | ~spl38_25 | ~spl38_64)),
  inference(forward_subsumption_resolution,[],[f893,f206])).
thf(f897,definition,(
  spl38_85 <=> ($true = ((sK32 @ (sK13 @ sK32 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_85])],[avatar_definition])).
thf(f899,plain,(
  ($true != ((sK32 @ (sK13 @ sK32 @ sK27)))) | spl38_85),
  inference(avatar_component_clause,[],[f897])).
thf(f901,definition,(
  spl38_86 <=> ($true = ((sK32 @ (sK14 @ sK32 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_86])],[avatar_definition])).
thf(f903,plain,(
  ($true = ((sK32 @ (sK14 @ sK32 @ sK27)))) | ~spl38_86),
  inference(avatar_component_clause,[],[f901])).
thf(f905,plain,(
  spl38_86 | spl38_22 | ~spl38_25 | ~spl38_64),
  inference(avatar_split_clause,[],[f895,f628,f253,f205,f901])).
thf(f922,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30)))) ) | ~spl38_9),
  inference(superposition,[],[f52,f147])).
thf(f923,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(superposition,[],[f51,f147])).
thf(f924,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true != $true) | ($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK13 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(superposition,[],[f50,f147])).
thf(f930,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK13 @ X0 @ sK27)))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27))))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f924])).
thf(f932,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((sP2 @ sK28 @ sK31 @ sK30)))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f923])).
thf(f933,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sP2 @ sK28 @ sK31 @ sK30))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27))))) ) | ~spl38_9),
  inference(trivial_inequality_removal,[],[f922])).
thf(f935,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK13 @ X0 @ sK27)))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30)))) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f930,f257])).
thf(f936,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27))))) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f932,f257])).
thf(f937,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ (sK14 @ X0 @ sK27) @ (sK13 @ X0 @ sK27)))) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27))))) ) | (~spl38_9 | spl38_26)),
  inference(forward_subsumption_resolution,[],[f933,f257])).
thf(f960,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK30))) | ($true != ((sK32 @ (sK14 @ X0 @ sK27)))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27)))) | ($true != $true) | (((sK32 @ (sK13 @ X0 @ sK27))) = $true)) ) | (~spl38_9 | ~spl38_16 | spl38_26)),
  inference(superposition,[],[f177,f937])).
thf(f962,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sK32 @ (sK14 @ X0 @ sK27)))) | (((sK32 @ (sK13 @ X0 @ sK27))) = $true) | ($true = ((X0 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ X0 @ sK31 @ sK27))))) ) | (~spl38_9 | ~spl38_16 | spl38_26)),
  inference(trivial_inequality_removal,[],[f960])).
thf(f964,plain,(
  ($true = ((sK32 @ (sK13 @ sK32 @ sK27)))) | ($true = ((sK27 @ sK31 @ (sK15 @ sK32 @ sK31 @ sK27)))) | ($true = ((sK32 @ sK30))) | ($true != $true) | (~spl38_9 | ~spl38_16 | spl38_26 | ~spl38_86)),
  inference(superposition,[],[f962,f903])).
thf(f966,plain,(
  ($true = ((sK32 @ (sK13 @ sK32 @ sK27)))) | ($true = ((sK32 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ sK32 @ sK31 @ sK27)))) | (~spl38_9 | ~spl38_16 | spl38_26 | ~spl38_86)),
  inference(trivial_inequality_removal,[],[f964])).
thf(f968,plain,(
  ($true = ((sK32 @ sK30))) | ($true = ((sK27 @ sK31 @ (sK15 @ sK32 @ sK31 @ sK27)))) | (~spl38_9 | ~spl38_16 | spl38_26 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f966,f935])).
thf(f970,plain,(
  ($true = ((sK27 @ sK31 @ (sK15 @ sK32 @ sK31 @ sK27)))) | (~spl38_9 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f968,f206])).
thf(f980,plain,(
  ($true != $true) | (((sK32 @ (sK15 @ sK32 @ sK31 @ sK27))) = $true) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(superposition,[],[f159,f970])).
thf(f984,plain,(
  (((sK32 @ (sK15 @ sK32 @ sK31 @ sK27))) = $true) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(trivial_inequality_removal,[],[f980])).
thf(f986,plain,(
  ($true = ((sK32 @ sK30))) | ($true != $true) | ($true = ((sK27 @ (sK14 @ sK32 @ sK27) @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(superposition,[],[f936,f984])).
thf(f987,plain,(
  ($true = ((sK32 @ sK30))) | ($true != ((sK32 @ (sK13 @ sK32 @ sK27)))) | ($true != $true) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_27 | ~spl38_86)),
  inference(superposition,[],[f274,f984])).
thf(f989,plain,(
  ($true = ((sK32 @ sK30))) | ($true = ((sK27 @ (sK14 @ sK32 @ sK27) @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(trivial_inequality_removal,[],[f986])).
thf(f990,plain,(
  ($true != ((sK32 @ (sK13 @ sK32 @ sK27)))) | ($true = ((sK32 @ sK30))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_27 | ~spl38_86)),
  inference(trivial_inequality_removal,[],[f987])).
thf(f992,plain,(
  ($true = ((sK27 @ (sK14 @ sK32 @ sK27) @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f989,f206])).
thf(f993,plain,(
  ($true != ((sK32 @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_27 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f990,f206])).
thf(f994,plain,(
  ~spl38_85 | ~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_27 | ~spl38_86),
  inference(avatar_split_clause,[],[f993,f901,f273,f256,f205,f176,f158,f145,f897])).
thf(f1010,plain,(
  ($true != $true) | ($true != ((sK32 @ (sK14 @ sK32 @ sK27)))) | ($true = ((sK32 @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(superposition,[],[f177,f992])).
thf(f1012,plain,(
  ($true != ((sK32 @ (sK14 @ sK32 @ sK27)))) | ($true = ((sK32 @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(trivial_inequality_removal,[],[f1010])).
thf(f1014,plain,(
  ($true = ((sK32 @ (sK13 @ sK32 @ sK27)))) | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f1012,f903])).
thf(f1024,plain,(
  $false | (~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | spl38_85 | ~spl38_86)),
  inference(forward_subsumption_resolution,[],[f1014,f899])).
thf(f1025,plain,(
  ~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | spl38_85 | ~spl38_86),
  inference(avatar_contradiction_clause,[],[f1024])).
thf(f1042,plain,(
  ( ! [X0 : a] : (($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | ($true = ((sK29 @ sK26))) | ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | ($true != $true) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0)))) ) | ~spl38_57),
  inference(superposition,[],[f39,f538])).
thf(f1045,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((sK29 @ sK26))) | ($true = ((sK29 @ X0))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27))))) ) | ~spl38_57),
  inference(duplicate_literal_removal,[],[f1042])).
thf(f1046,plain,(
  ( ! [X0 : a] : (($true = ((sK29 @ sK26))) | ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0)))) ) | ~spl38_57),
  inference(trivial_inequality_removal,[],[f1045])).
thf(f1049,plain,(
  ($true = ((sK29 @ sK26))) | ($true != $true) | (~spl38_4 | ~spl38_79)),
  inference(superposition,[],[f830,f125])).
thf(f1050,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((X0 @ sK26))) | ($true != $true) | ($true = ((sK27 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25))))) ) | ~spl38_4),
  inference(superposition,[],[f35,f125])).
thf(f1052,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26))) | ($true != ((X0 @ (sK7 @ X0 @ sK28 @ sK27))))) ) | ~spl38_4),
  inference(superposition,[],[f34,f125])).
thf(f1053,plain,(
  ($true = ((sK29 @ sK26))) | (~spl38_4 | ~spl38_79)),
  inference(trivial_inequality_removal,[],[f1049])).
thf(f1055,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26)))) ) | ~spl38_4),
  inference(trivial_inequality_removal,[],[f1052])).
thf(f1056,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((X0 @ sK26)))) ) | ~spl38_4),
  inference(trivial_inequality_removal,[],[f1050])).
thf(f1057,plain,(
  ($true = $false) | (~spl38_4 | ~spl38_19 | ~spl38_79)),
  inference(forward_demodulation,[],[f1053,f192])).
thf(f1058,plain,(
  $false | (~spl38_4 | ~spl38_19 | ~spl38_79)),
  inference(trivial_inequality_removal,[],[f1057])).
thf(f1059,plain,(
  ~spl38_4 | ~spl38_19 | ~spl38_79),
  inference(avatar_contradiction_clause,[],[f1058])).
thf(f1062,plain,(
  ( ! [X0 : a] : (($true = ((sK29 @ X0))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = $false) | ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27))))) ) | (~spl38_19 | ~spl38_57)),
  inference(forward_demodulation,[],[f1046,f192])).
thf(f1063,plain,(
  ( ! [X0 : a] : (($true = ((sK29 @ X0))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27))))) ) | (~spl38_19 | ~spl38_57)),
  inference(trivial_inequality_removal,[],[f1062])).
thf(f1067,plain,(
  spl38_80 | spl38_79 | ~spl38_19 | ~spl38_57),
  inference(avatar_split_clause,[],[f1063,f537,f190,f829,f832])).
thf(f1086,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK26))) | ($true != $true) | ($true != ((sK29 @ (sK8 @ X0 @ sK28 @ sK27)))) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | (((sK29 @ (sK7 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_4),
  inference(superposition,[],[f79,f1056])).
thf(f1088,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ (sK8 @ X0 @ sK28 @ sK27) @ (sK7 @ X0 @ sK28 @ sK27)))) | ($true = ((X0 @ sK26))) | (((sK29 @ (sK7 @ X0 @ sK28 @ sK27))) = $true) | ($true != ((sK29 @ (sK8 @ X0 @ sK28 @ sK27))))) ) | ~spl38_4),
  inference(trivial_inequality_removal,[],[f1086])).
thf(f1089,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sK29 @ (sK8 @ X0 @ sK28 @ sK27)))) | (((sK29 @ (sK7 @ X0 @ sK28 @ sK27))) = $true) | ($true = ((X0 @ sK26))) | ($true = ((sK28 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK27 @ sK25 @ (sK6 @ X0 @ sK28 @ sK27 @ sK25))))) ) | ~spl38_4),
  inference(forward_subsumption_resolution,[],[f1088,f80])).
thf(f1090,plain,(
  ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true != $true) | ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ($true = ((sK29 @ sK26))) | (~spl38_4 | ~spl38_80)),
  inference(superposition,[],[f1089,f834])).
thf(f1091,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ($true = ((sK29 @ sK26))) | ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_80)),
  inference(trivial_inequality_removal,[],[f1090])).
thf(f1092,plain,(
  ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK29 @ sK26))) | ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_80)),
  inference(forward_subsumption_resolution,[],[f1091,f1055])).
thf(f1093,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = $false) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_19 | ~spl38_80)),
  inference(forward_demodulation,[],[f1092,f192])).
thf(f1094,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_19 | ~spl38_80)),
  inference(trivial_inequality_removal,[],[f1093])).
thf(f1096,definition,(
  spl38_93 <=> ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_93])],[avatar_definition])).
thf(f1098,plain,(
  ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ~spl38_93),
  inference(avatar_component_clause,[],[f1096])).
thf(f1100,definition,(
  spl38_94 <=> ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25))))),
  introduced(definition,[new_symbols(definition,[spl38_94])],[avatar_definition])).
thf(f1102,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ~spl38_94),
  inference(avatar_component_clause,[],[f1100])).
thf(f1103,plain,(
  spl38_93 | spl38_94 | ~spl38_4 | ~spl38_19 | ~spl38_80),
  inference(avatar_split_clause,[],[f1094,f832,f190,f123,f1100,f1096])).
thf(f1104,plain,(
  ($true = ((sK29 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true != $true) | ~spl38_93),
  inference(superposition,[],[f77,f1098])).
thf(f1108,plain,(
  ($true = ((sK29 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ~spl38_93),
  inference(trivial_inequality_removal,[],[f1104])).
thf(f1110,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true != $true) | ($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true = ((sK29 @ X0)))) ) | ~spl38_93),
  inference(superposition,[],[f38,f1108])).
thf(f1112,plain,(
  ( ! [X0 : a] : ((((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) != $true) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true != $true) | ($true = ((sK29 @ X0)))) ) | ~spl38_93),
  inference(superposition,[],[f37,f1108])).
thf(f1113,plain,(
  ( ! [X0 : a] : (($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true = ((sK29 @ X0)))) ) | ~spl38_93),
  inference(trivial_inequality_removal,[],[f1110])).
thf(f1114,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) != $true)) ) | ~spl38_93),
  inference(trivial_inequality_removal,[],[f1112])).
thf(f1116,plain,(
  spl38_81 | spl38_82 | spl38_79 | ~spl38_93),
  inference(avatar_split_clause,[],[f1113,f1096,f829,f841,f837])).
thf(f1117,plain,(
  spl38_79 | ~spl38_83 | ~spl38_93),
  inference(avatar_split_clause,[],[f1114,f1096,f846,f829])).
thf(f1118,plain,(
  ($true != ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ($true != $true) | ~spl38_81),
  inference(superposition,[],[f80,f839])).
thf(f1119,plain,(
  ($true != ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ~spl38_81),
  inference(trivial_inequality_removal,[],[f1118])).
thf(f1120,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | (~spl38_80 | ~spl38_81)),
  inference(forward_subsumption_resolution,[],[f1119,f834])).
thf(f1123,plain,(
  spl38_83 | ~spl38_80 | ~spl38_81),
  inference(avatar_split_clause,[],[f1120,f837,f832,f846])).
thf(f1124,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true != $true) | ($true = ((sK29 @ sK26))) | (~spl38_4 | ~spl38_83)),
  inference(superposition,[],[f1055,f847])).
thf(f1125,plain,(
  ($true = ((sK29 @ sK26))) | ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_83)),
  inference(trivial_inequality_removal,[],[f1124])).
thf(f1126,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = $false) | (~spl38_4 | ~spl38_19 | ~spl38_83)),
  inference(forward_demodulation,[],[f1125,f192])).
thf(f1127,plain,(
  ($true = ((sK27 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true = ((sK28 @ sK25 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | (~spl38_4 | ~spl38_19 | ~spl38_83)),
  inference(trivial_inequality_removal,[],[f1126])).
thf(f1128,plain,(
  spl38_94 | spl38_93 | ~spl38_4 | ~spl38_19 | ~spl38_83),
  inference(avatar_split_clause,[],[f1127,f846,f190,f123,f1096,f1100])).
thf(f1131,plain,(
  ($true = ((sK29 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ($true != $true) | ~spl38_94),
  inference(superposition,[],[f78,f1102])).
thf(f1134,plain,(
  ($true = ((sK29 @ (sK6 @ sK29 @ sK28 @ sK27 @ sK25)))) | ~spl38_94),
  inference(trivial_inequality_removal,[],[f1131])).
thf(f1135,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true = ((sK29 @ X0))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27))))) ) | ~spl38_94),
  inference(superposition,[],[f38,f1134])).
thf(f1137,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((sK29 @ X0))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) != $true) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25)))) ) | ~spl38_94),
  inference(superposition,[],[f37,f1134])).
thf(f1139,plain,(
  ( ! [X0 : a] : (($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK29 @ X0))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) != $true)) ) | ~spl38_94),
  inference(trivial_inequality_removal,[],[f1137])).
thf(f1140,plain,(
  ( ! [X0 : a] : (($true = ((sK28 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true != ((sP5 @ X0 @ sK28 @ sK27 @ sK25))) | ($true = ((sK27 @ (sK8 @ sK29 @ sK28 @ sK27) @ (sK7 @ sK29 @ sK28 @ sK27)))) | ($true = ((sK29 @ X0)))) ) | ~spl38_94),
  inference(trivial_inequality_removal,[],[f1135])).
thf(f1143,plain,(
  spl38_81 | spl38_79 | spl38_82 | ~spl38_94),
  inference(avatar_split_clause,[],[f1140,f1100,f841,f829,f837])).
thf(f1144,plain,(
  spl38_79 | ~spl38_83 | ~spl38_94),
  inference(avatar_split_clause,[],[f1139,f1100,f846,f829])).
thf(f1146,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ($true != $true) | ($true != ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | ~spl38_82),
  inference(superposition,[],[f79,f843])).
thf(f1147,plain,(
  ($true != ((sK29 @ (sK8 @ sK29 @ sK28 @ sK27)))) | (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | ~spl38_82),
  inference(trivial_inequality_removal,[],[f1146])).
thf(f1149,plain,(
  (((sK29 @ (sK7 @ sK29 @ sK28 @ sK27))) = $true) | (~spl38_80 | ~spl38_82)),
  inference(forward_subsumption_resolution,[],[f1147,f834])).
thf(f1159,plain,(
  $false | (~spl38_80 | ~spl38_82 | spl38_83)),
  inference(forward_subsumption_resolution,[],[f1149,f848])).
thf(f1160,plain,(
  ~spl38_80 | ~spl38_82 | spl38_83),
  inference(avatar_contradiction_clause,[],[f1159])).
thf(f1166,plain,(
  ($true = ((sP1 @ (sK11 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true != $true) | ~spl38_14),
  inference(superposition,[],[f46,f169])).
thf(f1167,plain,(
  ($true != $true) | (((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ (sK10 @ sK27 @ sK28))) = $true) | ~spl38_14),
  inference(superposition,[],[f40,f169])).
thf(f1168,plain,(
  (((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ (sK10 @ sK27 @ sK28))) = $true) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1167])).
thf(f1169,plain,(
  ($true = ((sP1 @ (sK11 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1166])).
thf(f1181,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(superposition,[],[f68,f1168])).
thf(f1182,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f70,f1168])).
thf(f1183,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((X0 @ (sK22 @ X0 @ sK28 @ sK27)))) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(superposition,[],[f66,f1168])).
thf(f1184,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((X0 @ (sK22 @ X0 @ sK28 @ sK27)))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1183])).
thf(f1185,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1182])).
thf(f1186,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1181])).
thf(f1187,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true != $true) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK27 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28))))) ) | ~spl38_14),
  inference(superposition,[],[f62,f1169])).
thf(f1188,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | (((X0 @ (sK20 @ X0 @ sK27 @ sK28))) != $true) | ($true != $true) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f64,f1169])).
thf(f1189,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true != $true) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((X0 @ (sK21 @ X0 @ sK27 @ sK28))) = $true) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f63,f1169])).
thf(f1190,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK28 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((sK27 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28))))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1187])).
thf(f1191,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK20 @ X0 @ sK27 @ sK28))) != $true) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((X0 @ (sK11 @ sK27 @ sK28))))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1188])).
thf(f1192,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((X0 @ (sK21 @ X0 @ sK27 @ sK28))) = $true) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((X0 @ (sK11 @ sK27 @ sK28))))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1189])).
thf(f1223,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f44,f1185])).
thf(f1230,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true != ((sP4 @ sK27 @ sK28))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1223])).
thf(f1236,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(forward_subsumption_resolution,[],[f1230,f169])).
thf(f1237,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true != $true) | ($true != ((sP4 @ sK27 @ sK28))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f43,f1236])).
thf(f1247,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != $true)) ) | ~spl38_14),
  inference(duplicate_literal_removal,[],[f1237])).
thf(f1248,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sP4 @ sK27 @ sK28))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1247])).
thf(f1249,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((X0 @ (sK23 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(forward_subsumption_resolution,[],[f1248,f169])).
thf(f1253,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0)))) ) | ~spl38_14),
  inference(superposition,[],[f69,f1249])).
thf(f1256,plain,(
  ( ! [X0 : a] : (($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(duplicate_literal_removal,[],[f1253])).
thf(f1257,plain,(
  ( ! [X0 : a] : (($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1256])).
thf(f1262,definition,(
  spl38_97 <=> ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))))),
  introduced(definition,[new_symbols(definition,[spl38_97])],[avatar_definition])).
thf(f1263,plain,(
  ( ! [X0 : a] : (($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_97),
  inference(avatar_component_clause,[],[f1262])).
thf(f1265,definition,(
  spl38_98 <=> ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_98])],[avatar_definition])).
thf(f1266,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_98),
  inference(avatar_component_clause,[],[f1265])).
thf(f1269,definition,(
  spl38_99 <=> (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_99])],[avatar_definition])).
thf(f1270,plain,(
  (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) != $true) | spl38_99),
  inference(avatar_component_clause,[],[f1269])).
thf(f1271,plain,(
  (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ~spl38_99),
  inference(avatar_component_clause,[],[f1269])).
thf(f1273,definition,(
  spl38_100 <=> ($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_100])],[avatar_definition])).
thf(f1275,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_100),
  inference(avatar_component_clause,[],[f1273])).
thf(f1277,plain,(
  spl38_97 | spl38_99 | spl38_100 | ~spl38_14),
  inference(avatar_split_clause,[],[f1257,f167,f1273,f1269,f1262])).
thf(f1281,definition,(
  spl38_101 <=> ($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_101])],[avatar_definition])).
thf(f1283,plain,(
  ($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_101),
  inference(avatar_component_clause,[],[f1281])).
thf(f1285,definition,(
  spl38_102 <=> ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_102])],[avatar_definition])).
thf(f1287,plain,(
  ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_102),
  inference(avatar_component_clause,[],[f1285])).
thf(f1289,plain,(
  (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true != $true) | (~spl38_14 | ~spl38_97)),
  inference(superposition,[],[f1263,f1168])).
thf(f1290,plain,(
  (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | (~spl38_14 | ~spl38_97)),
  inference(trivial_inequality_removal,[],[f1289])).
thf(f1291,plain,(
  spl38_99 | ~spl38_14 | ~spl38_97),
  inference(avatar_split_clause,[],[f1290,f1262,f167,f1269])).
thf(f1292,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK28 @ (sK10 @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_99),
  inference(superposition,[],[f42,f1271])).
thf(f1293,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sK27 @ (sK10 @ sK27 @ sK28) @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != $true)) ) | ~spl38_99),
  inference(superposition,[],[f41,f1271])).
thf(f1294,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK28 @ (sK10 @ sK27 @ sK28) @ X0)))) ) | ~spl38_99),
  inference(trivial_inequality_removal,[],[f1292])).
thf(f1295,plain,(
  ( ! [X0 : a] : (($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK27 @ (sK10 @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_99),
  inference(trivial_inequality_removal,[],[f1293])).
thf(f1296,plain,(
  ( ! [X0 : a] : (($true != ((sK28 @ (sK10 @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99)),
  inference(forward_subsumption_resolution,[],[f1294,f169])).
thf(f1297,plain,(
  ( ! [X0 : a] : (($true != ((sK27 @ (sK10 @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99)),
  inference(forward_subsumption_resolution,[],[f1295,f169])).
thf(f1309,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK27 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true = ((sK28 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(superposition,[],[f1296,f1190])).
thf(f1310,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((X0 @ (sK21 @ X0 @ sK27 @ sK28))) = $true) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(superposition,[],[f1296,f1192])).
thf(f1311,plain,(
  ( ! [X0 : (a > $o)] : ((((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | (((X0 @ (sK21 @ X0 @ sK27 @ sK28))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(trivial_inequality_removal,[],[f1310])).
thf(f1312,plain,(
  ( ! [X0 : (a > $o)] : ((((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) = $true) | ($true = ((sK28 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK27 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99)),
  inference(trivial_inequality_removal,[],[f1309])).
thf(f1321,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | (((X0 @ (sK21 @ X0 @ sK27 @ sK28))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(forward_subsumption_resolution,[],[f1311,f1297])).
thf(f1322,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP4 @ sK27 @ sK28))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f44,f1186])).
thf(f1331,plain,(
  ( ! [X0 : (a > $o)] : ((((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true != ((sP4 @ sK27 @ sK28)))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1322])).
thf(f1344,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(forward_subsumption_resolution,[],[f1331,f169])).
thf(f1376,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99)),
  inference(superposition,[],[f60,f1321])).
thf(f1379,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true != $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(duplicate_literal_removal,[],[f1376])).
thf(f1380,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99)),
  inference(trivial_inequality_removal,[],[f1379])).
thf(f1385,definition,(
  spl38_108 <=> ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_108])],[avatar_definition])).
thf(f1386,plain,(
  ($true != ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | spl38_108),
  inference(avatar_component_clause,[],[f1385])).
thf(f1387,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ~spl38_108),
  inference(avatar_component_clause,[],[f1385])).
thf(f1389,definition,(
  spl38_109 <=> ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_109])],[avatar_definition])).
thf(f1391,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ~spl38_109),
  inference(avatar_component_clause,[],[f1389])).
thf(f1393,definition,(
  spl38_110 <=> ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_110])],[avatar_definition])).
thf(f1395,plain,(
  ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ~spl38_110),
  inference(avatar_component_clause,[],[f1393])).
thf(f1397,definition,(
  spl38_111 <=> (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_111])],[avatar_definition])).
thf(f1399,plain,(
  (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true) | ~spl38_111),
  inference(avatar_component_clause,[],[f1397])).
thf(f1401,definition,(
  spl38_112 <=> ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))))),
  introduced(definition,[new_symbols(definition,[spl38_112])],[avatar_definition])).
thf(f1402,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_112),
  inference(avatar_component_clause,[],[f1401])).
thf(f1404,plain,(
  spl38_112 | spl38_109 | spl38_108 | ~spl38_14 | ~spl38_99),
  inference(avatar_split_clause,[],[f1380,f1269,f167,f1385,f1389,f1401])).
thf(f1407,definition,(
  spl38_113 <=> ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_113])],[avatar_definition])).
thf(f1408,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ~spl38_113),
  inference(avatar_component_clause,[],[f1407])).
thf(f1409,plain,(
  ($true != ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | spl38_113),
  inference(avatar_component_clause,[],[f1407])).
thf(f1411,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true != $true) | (~spl38_14 | ~spl38_112)),
  inference(superposition,[],[f1402,f1169])).
thf(f1412,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | (~spl38_14 | ~spl38_112)),
  inference(trivial_inequality_removal,[],[f1411])).
thf(f1413,plain,(
  spl38_108 | ~spl38_14 | ~spl38_112),
  inference(avatar_split_clause,[],[f1412,f1401,f167,f1385])).
thf(f1414,plain,(
  ( ! [X0 : (a > $o)] : ((((X0 @ (sK10 @ sK27 @ sK28))) = $true) | ($true != $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | ($true != ((sP4 @ sK27 @ sK28))) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(superposition,[],[f43,f1344])).
thf(f1421,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | ($true != $true) | ($true != ((sP4 @ sK27 @ sK28)))) ) | ~spl38_14),
  inference(duplicate_literal_removal,[],[f1414])).
thf(f1422,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sP4 @ sK27 @ sK28))) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true) | (((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true)) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1421])).
thf(f1426,plain,(
  ( ! [X0 : (a > $o)] : ((((sK12 @ sK27 @ sK28 @ (sK24 @ X0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))) = $true) | ($true = ((sK28 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27)))) | (((X0 @ (sK10 @ sK27 @ sK28))) = $true) | (((sK27 @ (sK23 @ X0 @ sK28 @ sK27) @ (sK22 @ X0 @ sK28 @ sK27))) = $true)) ) | ~spl38_14),
  inference(forward_subsumption_resolution,[],[f1422,f169])).
thf(f1427,plain,(
  ( ! [X0 : a] : (($true != ((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28)))) ) | ~spl38_109),
  inference(superposition,[],[f42,f1391])).
thf(f1428,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_109),
  inference(superposition,[],[f41,f1391])).
thf(f1429,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0)))) ) | ~spl38_109),
  inference(trivial_inequality_removal,[],[f1427])).
thf(f1430,plain,(
  ( ! [X0 : a] : (($true != ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_109),
  inference(trivial_inequality_removal,[],[f1428])).
thf(f1431,plain,(
  ( ! [X0 : a] : (($true != ((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_109)),
  inference(forward_subsumption_resolution,[],[f1429,f169])).
thf(f1435,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(superposition,[],[f67,f1426])).
thf(f1442,plain,(
  ( ! [X0 : a] : (($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | ($true != $true) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27))))) ) | ~spl38_14),
  inference(duplicate_literal_removal,[],[f1435])).
thf(f1443,plain,(
  ( ! [X0 : a] : (($true = ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_14),
  inference(trivial_inequality_removal,[],[f1442])).
thf(f1446,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK27 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28)))) | ($true = ((X0 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK28 @ (sK21 @ X0 @ sK27 @ sK28) @ (sK20 @ X0 @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99)),
  inference(forward_subsumption_resolution,[],[f1312,f1297])).
thf(f1449,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != $true) | ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true) | (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(superposition,[],[f59,f1446])).
thf(f1455,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true) | ($true != $true) | ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99)),
  inference(duplicate_literal_removal,[],[f1449])).
thf(f1456,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | (((sK28 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))) = $true)) ) | (~spl38_14 | ~spl38_99)),
  inference(trivial_inequality_removal,[],[f1455])).
thf(f1461,plain,(
  spl38_110 | spl38_108 | spl38_112 | spl38_111 | ~spl38_14 | ~spl38_99),
  inference(avatar_split_clause,[],[f1456,f1269,f167,f1397,f1401,f1385,f1393])).
thf(f1462,plain,(
  ($true != $true) | ($true != ((sP4 @ sK27 @ sK28))) | ~spl38_108),
  inference(superposition,[],[f45,f1387])).
thf(f1466,plain,(
  ($true != ((sP4 @ sK27 @ sK28))) | ~spl38_108),
  inference(trivial_inequality_removal,[],[f1462])).
thf(f1469,plain,(
  $false | (~spl38_14 | ~spl38_108)),
  inference(forward_subsumption_resolution,[],[f1466,f169])).
thf(f1470,plain,(
  ~spl38_14 | ~spl38_108),
  inference(avatar_contradiction_clause,[],[f1469])).
thf(f1472,plain,(
  ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | (~spl38_14 | ~spl38_109 | ~spl38_111)),
  inference(superposition,[],[f1431,f1399])).
thf(f1477,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | (~spl38_14 | ~spl38_109 | ~spl38_111)),
  inference(trivial_inequality_removal,[],[f1472])).
thf(f1496,plain,(
  spl38_113 | ~spl38_14 | ~spl38_109 | ~spl38_111),
  inference(avatar_split_clause,[],[f1477,f1397,f1389,f167,f1407])).
thf(f1499,plain,(
  ($true = ((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true != $true) | (~spl38_14 | ~spl38_113)),
  inference(superposition,[],[f1191,f1408])).
thf(f1501,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK11 @ sK27 @ sK28)))) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (~spl38_14 | ~spl38_113)),
  inference(trivial_inequality_removal,[],[f1499])).
thf(f1504,plain,(
  ($true = ((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (~spl38_14 | spl38_108 | ~spl38_113)),
  inference(forward_subsumption_resolution,[],[f1501,f1386])).
thf(f1507,definition,(
  spl38_118 <=> ($true = ((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))))),
  introduced(definition,[new_symbols(definition,[spl38_118])],[avatar_definition])).
thf(f1509,plain,(
  ($true = ((sK27 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ~spl38_118),
  inference(avatar_component_clause,[],[f1507])).
thf(f1511,definition,(
  spl38_119 <=> ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))))),
  introduced(definition,[new_symbols(definition,[spl38_119])],[avatar_definition])).
thf(f1513,plain,(
  ($true = ((sK28 @ (sK10 @ sK27 @ sK28) @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ~spl38_119),
  inference(avatar_component_clause,[],[f1511])).
thf(f1514,plain,(
  spl38_118 | spl38_119 | ~spl38_14 | spl38_108 | ~spl38_113),
  inference(avatar_split_clause,[],[f1504,f1407,f1385,f167,f1511,f1507])).
thf(f1515,plain,(
  ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (~spl38_14 | ~spl38_99 | ~spl38_118)),
  inference(superposition,[],[f1297,f1509])).
thf(f1517,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (~spl38_14 | ~spl38_99 | ~spl38_118)),
  inference(trivial_inequality_removal,[],[f1515])).
thf(f1522,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99 | ~spl38_118)),
  inference(superposition,[],[f61,f1517])).
thf(f1527,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99 | ~spl38_118)),
  inference(trivial_inequality_removal,[],[f1522])).
thf(f1531,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99 | ~spl38_113 | ~spl38_118)),
  inference(forward_subsumption_resolution,[],[f1527,f1408])).
thf(f1532,plain,(
  spl38_112 | ~spl38_14 | ~spl38_99 | ~spl38_113 | ~spl38_118),
  inference(avatar_split_clause,[],[f1531,f1507,f1407,f1269,f167,f1401])).
thf(f1533,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | ($true != $true) | (~spl38_14 | ~spl38_99 | ~spl38_119)),
  inference(superposition,[],[f1296,f1513])).
thf(f1537,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK19 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) | (~spl38_14 | ~spl38_99 | ~spl38_119)),
  inference(trivial_inequality_removal,[],[f1533])).
thf(f1542,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99 | ~spl38_119)),
  inference(superposition,[],[f61,f1537])).
thf(f1545,plain,(
  ( ! [X0 : a] : (($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28)))) | ($true != ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_99 | ~spl38_119)),
  inference(trivial_inequality_removal,[],[f1542])).
thf(f1550,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP1 @ X0 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))))) ) | (~spl38_14 | ~spl38_99 | ~spl38_113 | ~spl38_119)),
  inference(forward_subsumption_resolution,[],[f1545,f1408])).
thf(f1552,plain,(
  spl38_112 | ~spl38_14 | ~spl38_99 | ~spl38_113 | ~spl38_119),
  inference(avatar_split_clause,[],[f1550,f1511,f1407,f1269,f167,f1401])).
thf(f1553,plain,(
  spl38_101 | spl38_99 | spl38_97 | spl38_102 | ~spl38_14),
  inference(avatar_split_clause,[],[f1443,f167,f1285,f1262,f1269,f1281])).
thf(f1556,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28)))) ) | ~spl38_100),
  inference(superposition,[],[f42,f1275])).
thf(f1557,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != $true) | ($true != ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0)))) ) | ~spl38_100),
  inference(superposition,[],[f41,f1275])).
thf(f1558,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true != ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0)))) ) | ~spl38_100),
  inference(trivial_inequality_removal,[],[f1556])).
thf(f1559,plain,(
  ( ! [X0 : a] : (($true != ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0))) | ($true != ((sP4 @ sK27 @ sK28))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_100),
  inference(trivial_inequality_removal,[],[f1557])).
thf(f1560,plain,(
  ( ! [X0 : a] : (($true != ((sK28 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_100)),
  inference(forward_subsumption_resolution,[],[f1558,f169])).
thf(f1561,plain,(
  ( ! [X0 : a] : (($true != ((sK27 @ (sK23 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_100)),
  inference(forward_subsumption_resolution,[],[f1559,f169])).
thf(f1573,plain,(
  ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_100 | ~spl38_102)),
  inference(superposition,[],[f1561,f1287])).
thf(f1574,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_100 | ~spl38_102)),
  inference(trivial_inequality_removal,[],[f1573])).
thf(f1575,plain,(
  spl38_98 | ~spl38_14 | ~spl38_100 | ~spl38_102),
  inference(avatar_split_clause,[],[f1574,f1285,f1273,f167,f1265])).
thf(f1586,definition,(
  spl38_122 <=> ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_122])],[avatar_definition])).
thf(f1588,plain,(
  ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_122),
  inference(avatar_component_clause,[],[f1586])).
thf(f1590,definition,(
  spl38_123 <=> ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27))))),
  introduced(definition,[new_symbols(definition,[spl38_123])],[avatar_definition])).
thf(f1592,plain,(
  ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_123),
  inference(avatar_component_clause,[],[f1590])).
thf(f1594,plain,(
  ($true != ((sP4 @ sK27 @ sK28))) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ~spl38_122),
  inference(superposition,[],[f44,f1588])).
thf(f1597,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP4 @ sK27 @ sK28))) | ~spl38_122),
  inference(trivial_inequality_removal,[],[f1594])).
thf(f1600,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_122)),
  inference(forward_subsumption_resolution,[],[f1597,f169])).
thf(f1605,plain,(
  ( ! [X0 : a] : (($true != ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0)))) ) | (~spl38_14 | ~spl38_122)),
  inference(superposition,[],[f65,f1600])).
thf(f1607,plain,(
  ( ! [X0 : a] : (($true != ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0)))) ) | (~spl38_14 | ~spl38_122)),
  inference(trivial_inequality_removal,[],[f1605])).
thf(f1616,plain,(
  ~spl38_98 | spl38_97 | ~spl38_14 | ~spl38_122),
  inference(avatar_split_clause,[],[f1607,f1586,f167,f1262,f1265])).
thf(f1617,plain,(
  ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_100 | ~spl38_101)),
  inference(superposition,[],[f1560,f1283])).
thf(f1621,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_100 | ~spl38_101)),
  inference(trivial_inequality_removal,[],[f1617])).
thf(f1634,plain,(
  spl38_98 | ~spl38_14 | ~spl38_100 | ~spl38_101),
  inference(avatar_split_clause,[],[f1621,f1281,f1273,f167,f1265])).
thf(f1637,plain,(
  (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | (~spl38_14 | ~spl38_98)),
  inference(superposition,[],[f1184,f1266])).
thf(f1639,plain,(
  ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (((sK12 @ sK27 @ sK28 @ (sK10 @ sK27 @ sK28))) = $true) | (~spl38_14 | ~spl38_98)),
  inference(trivial_inequality_removal,[],[f1637])).
thf(f1642,plain,(
  ($true = ((sK27 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK28 @ (sK9 @ sK27 @ sK28) @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_98 | spl38_99)),
  inference(forward_subsumption_resolution,[],[f1639,f1270])).
thf(f1644,plain,(
  spl38_123 | spl38_122 | ~spl38_14 | ~spl38_98 | spl38_99),
  inference(avatar_split_clause,[],[f1642,f1269,f1265,f167,f1586,f1590])).
thf(f1649,plain,(
  ($true != ((sP4 @ sK27 @ sK28))) | ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | ~spl38_123),
  inference(superposition,[],[f43,f1592])).
thf(f1652,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != ((sP4 @ sK27 @ sK28))) | ~spl38_123),
  inference(trivial_inequality_removal,[],[f1649])).
thf(f1653,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK24 @ (sK12 @ sK27 @ sK28) @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27)))) | (~spl38_14 | ~spl38_123)),
  inference(forward_subsumption_resolution,[],[f1652,f169])).
thf(f1658,plain,(
  ( ! [X0 : a] : (($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true != $true) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0)))) ) | (~spl38_14 | ~spl38_123)),
  inference(superposition,[],[f65,f1653])).
thf(f1662,plain,(
  ( ! [X0 : a] : (($true != ((sK12 @ sK27 @ sK28 @ (sK22 @ (sK12 @ sK27 @ sK28) @ sK28 @ sK27)))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))) | ($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0)))) ) | (~spl38_14 | ~spl38_123)),
  inference(trivial_inequality_removal,[],[f1658])).
thf(f1665,plain,(
  ( ! [X0 : a] : (($true != ((sP0 @ (sK9 @ sK27 @ sK28) @ sK28 @ sK27 @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | (~spl38_14 | ~spl38_98 | ~spl38_123)),
  inference(forward_subsumption_resolution,[],[f1662,f1266])).
thf(f1667,plain,(
  spl38_97 | ~spl38_14 | ~spl38_98 | ~spl38_123),
  inference(avatar_split_clause,[],[f1665,f1590,f1265,f167,f1262])).
thf(f1682,definition,(
  spl38_129 <=> ! [X0 : a] : (($true != ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0))))),
  introduced(definition,[new_symbols(definition,[spl38_129])],[avatar_definition])).
thf(f1683,plain,(
  ( ! [X0 : a] : (($true != ((sK27 @ (sK21 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28) @ X0))) | ($true = ((sK12 @ sK27 @ sK28 @ X0)))) ) | ~spl38_129),
  inference(avatar_component_clause,[],[f1682])).
thf(f1684,plain,(
  spl38_129 | ~spl38_14 | ~spl38_109),
  inference(avatar_split_clause,[],[f1430,f1389,f167,f1682])).
thf(f1730,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31)))) | ($true = ((sK28 @ (sK17 @ X0 @ sK28) @ (sK18 @ X0 @ sK28)))) | ($true != $true) | ($true = ((X0 @ sK30)))) ) | ~spl38_26),
  inference(superposition,[],[f58,f258])).
thf(f1731,plain,(
  ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31)))) | ($true = ((X0 @ sK30))) | ($true = ((X0 @ (sK17 @ X0 @ sK28))))) ) | ~spl38_26),
  inference(superposition,[],[f57,f258])).
thf(f1732,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31)))) | ($true = ((X0 @ (sK17 @ X0 @ sK28)))) | ($true = ((X0 @ sK30)))) ) | ~spl38_26),
  inference(trivial_inequality_removal,[],[f1731])).
thf(f1733,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((sK28 @ (sK17 @ X0 @ sK28) @ (sK18 @ X0 @ sK28)))) | ($true = ((X0 @ sK30))) | ($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31))))) ) | ~spl38_26),
  inference(trivial_inequality_removal,[],[f1730])).
thf(f1753,plain,(
  ( ! [X0 : (a > $o)] : (($true = ((X0 @ sK30))) | ($true != $true) | ($true = ((X0 @ (sK17 @ X0 @ sK28)))) | (((sK32 @ (sK16 @ X0 @ sK28 @ sK31))) = $true)) ) | (~spl38_5 | ~spl38_26)),
  inference(superposition,[],[f129,f1732])).
thf(f1762,plain,(
  ( ! [X0 : (a > $o)] : ((((sK32 @ (sK16 @ X0 @ sK28 @ sK31))) = $true) | ($true = ((X0 @ sK30))) | ($true = ((X0 @ (sK17 @ X0 @ sK28))))) ) | (~spl38_5 | ~spl38_26)),
  inference(trivial_inequality_removal,[],[f1753])).
thf(f1767,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((sK32 @ (sK17 @ sK32 @ sK28)))) | ($true = ((sK32 @ (sK17 @ sK32 @ sK28)))) | ($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true) | ($true = ((sK32 @ sK30)))) ) | (~spl38_5 | ~spl38_26)),
  inference(superposition,[],[f54,f1762])).
thf(f1770,plain,(
  ( ! [X0 : a] : ((((sK32 @ X0)) = $true) | ($true != $true) | ($true = ((sK32 @ (sK17 @ sK32 @ sK28)))) | ($true = ((sK32 @ sK30))) | ($true != ((sP2 @ sK28 @ sK31 @ X0)))) ) | (~spl38_5 | ~spl38_26)),
  inference(duplicate_literal_removal,[],[f1767])).
thf(f1771,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ sK28 @ sK31 @ X0))) | ($true = ((sK32 @ sK30))) | (((sK32 @ X0)) = $true) | ($true = ((sK32 @ (sK17 @ sK32 @ sK28))))) ) | (~spl38_5 | ~spl38_26)),
  inference(trivial_inequality_removal,[],[f1770])).
thf(f1774,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true) | ($true = ((sK32 @ (sK17 @ sK32 @ sK28))))) ) | (~spl38_5 | spl38_22 | ~spl38_26)),
  inference(forward_subsumption_resolution,[],[f1771,f206])).
thf(f1777,definition,(
  spl38_138 <=> ($true = ((sK32 @ (sK17 @ sK32 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_138])],[avatar_definition])).
thf(f1779,plain,(
  ($true = ((sK32 @ (sK17 @ sK32 @ sK28)))) | ~spl38_138),
  inference(avatar_component_clause,[],[f1777])).
thf(f1781,definition,(
  spl38_139 <=> ! [X0 : a] : (($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true))),
  introduced(definition,[new_symbols(definition,[spl38_139])],[avatar_definition])).
thf(f1782,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true)) ) | ~spl38_139),
  inference(avatar_component_clause,[],[f1781])).
thf(f1784,definition,(
  spl38_140 <=> ($true = ((sK32 @ (sK18 @ sK32 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_140])],[avatar_definition])).
thf(f1785,plain,(
  ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | ~spl38_140),
  inference(avatar_component_clause,[],[f1784])).
thf(f1786,plain,(
  ($true != ((sK32 @ (sK18 @ sK32 @ sK28)))) | spl38_140),
  inference(avatar_component_clause,[],[f1784])).
thf(f1788,plain,(
  spl38_138 | spl38_139 | ~spl38_5 | spl38_22 | ~spl38_26),
  inference(avatar_split_clause,[],[f1774,f256,f205,f128,f1781,f1777])).
thf(f1790,definition,(
  spl38_141 <=> ($true = ((sK28 @ (sK17 @ sK32 @ sK28) @ (sK18 @ sK32 @ sK28))))),
  introduced(definition,[new_symbols(definition,[spl38_141])],[avatar_definition])).
thf(f1792,plain,(
  ($true = ((sK28 @ (sK17 @ sK32 @ sK28) @ (sK18 @ sK32 @ sK28)))) | ~spl38_141),
  inference(avatar_component_clause,[],[f1790])).
thf(f1794,plain,(
  ($true != $true) | ($true = ((sK32 @ sK30))) | (~spl38_26 | ~spl38_139)),
  inference(superposition,[],[f1782,f258])).
thf(f1795,plain,(
  ($true = ((sK32 @ sK30))) | (~spl38_26 | ~spl38_139)),
  inference(trivial_inequality_removal,[],[f1794])).
thf(f1796,plain,(
  $false | (spl38_22 | ~spl38_26 | ~spl38_139)),
  inference(forward_subsumption_resolution,[],[f1795,f206])).
thf(f1797,plain,(
  spl38_22 | ~spl38_26 | ~spl38_139),
  inference(avatar_contradiction_clause,[],[f1796])).
thf(f1798,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sK32 @ (sK17 @ X0 @ sK28)))) | (((sK32 @ (sK18 @ X0 @ sK28))) = $true) | ($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31)))) | ($true != $true) | ($true = ((X0 @ sK30)))) ) | (~spl38_11 | ~spl38_26)),
  inference(superposition,[],[f155,f1733])).
thf(f1800,plain,(
  ( ! [X0 : (a > $o)] : (($true != ((sK32 @ (sK17 @ X0 @ sK28)))) | ($true = ((X0 @ sK30))) | (((sK32 @ (sK18 @ X0 @ sK28))) = $true) | ($true = ((sK28 @ sK31 @ (sK16 @ X0 @ sK28 @ sK31))))) ) | (~spl38_11 | ~spl38_26)),
  inference(trivial_inequality_removal,[],[f1798])).
thf(f1803,plain,(
  ($true != $true) | ($true = ((sK32 @ sK30))) | ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | (~spl38_11 | ~spl38_26 | ~spl38_138)),
  inference(superposition,[],[f1800,f1779])).
thf(f1805,plain,(
  (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | ($true = ((sK32 @ sK30))) | ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | (~spl38_11 | ~spl38_26 | ~spl38_138)),
  inference(trivial_inequality_removal,[],[f1803])).
thf(f1807,plain,(
  ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | (~spl38_11 | spl38_22 | ~spl38_26 | ~spl38_138)),
  inference(forward_subsumption_resolution,[],[f1805,f206])).
thf(f1818,definition,(
  spl38_144 <=> (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true)),
  introduced(definition,[new_symbols(definition,[spl38_144])],[avatar_definition])).
thf(f1819,plain,(
  (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) != $true) | spl38_144),
  inference(avatar_component_clause,[],[f1818])).
thf(f1820,plain,(
  (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | ~spl38_144),
  inference(avatar_component_clause,[],[f1818])).
thf(f1821,plain,(
  spl38_144 | spl38_140 | ~spl38_11 | spl38_22 | ~spl38_26 | ~spl38_138),
  inference(avatar_split_clause,[],[f1807,f1777,f256,f205,f154,f1784,f1818])).
thf(f1822,plain,(
  ($true != $true) | ($true = ((sK32 @ (sK16 @ sK32 @ sK28 @ sK31)))) | (~spl38_5 | ~spl38_144)),
  inference(superposition,[],[f129,f1820])).
thf(f1827,plain,(
  ($true = ((sK32 @ (sK16 @ sK32 @ sK28 @ sK31)))) | (~spl38_5 | ~spl38_144)),
  inference(trivial_inequality_removal,[],[f1822])).
thf(f1830,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true != ((sK32 @ (sK18 @ sK32 @ sK28)))) | (((sK32 @ X0)) = $true) | ($true != ((sP2 @ sK28 @ sK31 @ X0)))) ) | (~spl38_5 | ~spl38_144)),
  inference(superposition,[],[f53,f1827])).
thf(f1833,plain,(
  ( ! [X0 : a] : (($true != ((sK32 @ (sK18 @ sK32 @ sK28)))) | ($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true)) ) | (~spl38_5 | ~spl38_144)),
  inference(trivial_inequality_removal,[],[f1830])).
thf(f1835,plain,(
  spl38_139 | ~spl38_140 | ~spl38_5 | ~spl38_144),
  inference(avatar_split_clause,[],[f1833,f1818,f128,f1784,f1781])).
thf(f1836,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK28 @ X0 @ (sK16 @ sK32 @ sK28 @ X0)))) | ($true != ((sP2 @ sK28 @ X0 @ X1))) | ($true = ((sK32 @ X1)))) ) | ~spl38_140),
  inference(superposition,[],[f56,f1785])).
thf(f1837,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sP2 @ sK28 @ X0 @ X1))) | ($true = ((sK28 @ X0 @ (sK16 @ sK32 @ sK28 @ X0)))) | ($true = ((sK32 @ X1)))) ) | ~spl38_140),
  inference(trivial_inequality_removal,[],[f1836])).
thf(f1840,plain,(
  ($true != $true) | ($true = ((sK32 @ sK30))) | (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | (~spl38_26 | ~spl38_140)),
  inference(superposition,[],[f1837,f258])).
thf(f1841,plain,(
  (((sK28 @ sK31 @ (sK16 @ sK32 @ sK28 @ sK31))) = $true) | ($true = ((sK32 @ sK30))) | (~spl38_26 | ~spl38_140)),
  inference(trivial_inequality_removal,[],[f1840])).
thf(f1842,plain,(
  ($true = ((sK32 @ sK30))) | (~spl38_26 | ~spl38_140 | spl38_144)),
  inference(forward_subsumption_resolution,[],[f1841,f1819])).
thf(f1843,plain,(
  $false | (spl38_22 | ~spl38_26 | ~spl38_140 | spl38_144)),
  inference(forward_subsumption_resolution,[],[f1842,f206])).
thf(f1844,plain,(
  spl38_22 | ~spl38_26 | ~spl38_140 | spl38_144),
  inference(avatar_contradiction_clause,[],[f1843])).
thf(f1846,plain,(
  ( ! [X0 : a] : (($true != ((sP2 @ sK28 @ sK31 @ X0))) | ($true = ((sK28 @ (sK17 @ sK32 @ sK28) @ (sK18 @ sK32 @ sK28)))) | ($true != $true) | (((sK32 @ X0)) = $true)) ) | (~spl38_5 | ~spl38_144)),
  inference(superposition,[],[f55,f1827])).
thf(f1849,plain,(
  ( ! [X0 : a] : (($true = ((sK28 @ (sK17 @ sK32 @ sK28) @ (sK18 @ sK32 @ sK28)))) | ($true != ((sP2 @ sK28 @ sK31 @ X0))) | (((sK32 @ X0)) = $true)) ) | (~spl38_5 | ~spl38_144)),
  inference(trivial_inequality_removal,[],[f1846])).
thf(f1852,plain,(
  spl38_141 | spl38_139 | ~spl38_5 | ~spl38_144),
  inference(avatar_split_clause,[],[f1849,f1818,f128,f1781,f1790])).
thf(f1853,plain,(
  ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | ($true != $true) | ($true != ((sK32 @ (sK17 @ sK32 @ sK28)))) | (~spl38_11 | ~spl38_141)),
  inference(superposition,[],[f155,f1792])).
thf(f1855,plain,(
  ($true = ((sK32 @ (sK18 @ sK32 @ sK28)))) | ($true != ((sK32 @ (sK17 @ sK32 @ sK28)))) | (~spl38_11 | ~spl38_141)),
  inference(trivial_inequality_removal,[],[f1853])).
thf(f1857,plain,(
  ($true != ((sK32 @ (sK17 @ sK32 @ sK28)))) | (~spl38_11 | spl38_140 | ~spl38_141)),
  inference(forward_subsumption_resolution,[],[f1855,f1786])).
thf(f1867,plain,(
  $false | (~spl38_11 | ~spl38_138 | spl38_140 | ~spl38_141)),
  inference(forward_subsumption_resolution,[],[f1857,f1779])).
thf(f1868,plain,(
  ~spl38_11 | ~spl38_138 | spl38_140 | ~spl38_141),
  inference(avatar_contradiction_clause,[],[f1867])).
thf(f1962,plain,(
  ($true != $true) | ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | (~spl38_110 | ~spl38_129)),
  inference(superposition,[],[f1683,f1395])).
thf(f1967,plain,(
  ($true = ((sK12 @ sK27 @ sK28 @ (sK20 @ (sK12 @ sK27 @ sK28) @ sK27 @ sK28)))) | (~spl38_110 | ~spl38_129)),
  inference(trivial_inequality_removal,[],[f1962])).
thf(f1968,plain,(
  $false | (~spl38_110 | spl38_113 | ~spl38_129)),
  inference(forward_subsumption_resolution,[],[f1967,f1409])).
thf(f1969,plain,(
  ~spl38_110 | spl38_113 | ~spl38_129),
  inference(avatar_contradiction_clause,[],[f1968])).
cnf(s2, plain, spl38_3 | spl38_4, inference(sat_conversion,[],[f126])).
cnf(s3, plain, spl38_2 | spl38_5 | spl38_6, inference(sat_conversion,[],[f134])).
cnf(s5, plain, spl38_9 | spl38_10, inference(sat_conversion,[],[f152])).
cnf(s6, plain, spl38_2 | spl38_6 | spl38_11, inference(sat_conversion,[],[f156])).
cnf(s7, plain, spl38_2 | spl38_6 | spl38_12, inference(sat_conversion,[],[f160])).
cnf(s9, plain, spl38_14 | spl38_15, inference(sat_conversion,[],[f174])).
cnf(s10, plain, spl38_2 | spl38_6 | spl38_16, inference(sat_conversion,[],[f178])).
cnf(s11, plain, spl38_2 | spl38_6 | spl38_8, inference(sat_conversion,[],[f179])).
cnf(s13, plain, spl38_19 | spl38_20, inference(sat_conversion,[],[f197])).
cnf(s14, plain, ~spl38_20, inference(sat_conversion,[],[f198])).
cnf(s15, plain, spl38_2 | spl38_6 | ~spl38_21, inference(sat_conversion,[],[f203])).
cnf(s17, plain, spl38_21 | spl38_24, inference(sat_conversion,[],[f217])).
cnf(s19, plain, ~spl38_2 | ~spl38_3, inference(sat_conversion,[],[f223])).
cnf(s22, plain, ~spl38_8 | ~spl38_10, inference(sat_conversion,[],[f263])).
cnf(s25, plain, ~spl38_9 | spl38_25 | spl38_26, inference(sat_conversion,[],[f276])).
cnf(s34, plain, ~spl38_6 | ~spl38_15, inference(sat_conversion,[],[f403])).
cnf(s44, plain, ~spl38_22 | ~spl38_24, inference(sat_conversion,[],[f556])).
cnf(s47, plain, ~spl38_9 | spl38_26 | spl38_27, inference(sat_conversion,[],[f591])).
cnf(s52, plain, ~spl38_9 | ~spl38_12 | spl38_26 | spl38_64, inference(sat_conversion,[],[f635])).
cnf(s61, plain, ~spl38_4 | spl38_57, inference(sat_conversion,[],[f814])).
cnf(s72, plain, spl38_22 | ~spl38_25 | ~spl38_64 | spl38_86, inference(sat_conversion,[],[f905])).
cnf(s75, plain, ~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | ~spl38_27 | ~spl38_85 | ~spl38_86, inference(sat_conversion,[],[f994])).
cnf(s78, plain, ~spl38_9 | ~spl38_12 | ~spl38_16 | spl38_22 | spl38_26 | spl38_85 | ~spl38_86, inference(sat_conversion,[],[f1025])).
cnf(s82, plain, ~spl38_4 | ~spl38_19 | ~spl38_79, inference(sat_conversion,[],[f1059])).
cnf(s84, plain, ~spl38_19 | ~spl38_57 | spl38_79 | spl38_80, inference(sat_conversion,[],[f1067])).
cnf(s86, plain, ~spl38_4 | ~spl38_19 | ~spl38_80 | spl38_93 | spl38_94, inference(sat_conversion,[],[f1103])).
cnf(s87, plain, spl38_79 | spl38_81 | spl38_82 | ~spl38_93, inference(sat_conversion,[],[f1116])).
cnf(s88, plain, spl38_79 | ~spl38_83 | ~spl38_93, inference(sat_conversion,[],[f1117])).
cnf(s90, plain, ~spl38_80 | ~spl38_81 | spl38_83, inference(sat_conversion,[],[f1123])).
cnf(s91, plain, ~spl38_4 | ~spl38_19 | ~spl38_83 | spl38_93 | spl38_94, inference(sat_conversion,[],[f1128])).
cnf(s93, plain, spl38_79 | spl38_81 | spl38_82 | ~spl38_94, inference(sat_conversion,[],[f1143])).
cnf(s94, plain, spl38_79 | ~spl38_83 | ~spl38_94, inference(sat_conversion,[],[f1144])).
cnf(s96, plain, ~spl38_80 | ~spl38_82 | spl38_83, inference(sat_conversion,[],[f1160])).
cnf(s100, plain, ~spl38_14 | spl38_97 | spl38_99 | spl38_100, inference(sat_conversion,[],[f1277])).
cnf(s102, plain, ~spl38_14 | ~spl38_97 | spl38_99, inference(sat_conversion,[],[f1291])).
cnf(s108, plain, ~spl38_14 | ~spl38_99 | spl38_108 | spl38_109 | spl38_112, inference(sat_conversion,[],[f1404])).
cnf(s110, plain, ~spl38_14 | spl38_108 | ~spl38_112, inference(sat_conversion,[],[f1413])).
cnf(s112, plain, ~spl38_14 | ~spl38_99 | spl38_108 | spl38_110 | spl38_111 | spl38_112, inference(sat_conversion,[],[f1461])).
cnf(s113, plain, ~spl38_14 | ~spl38_108, inference(sat_conversion,[],[f1470])).
cnf(s116, plain, ~spl38_14 | ~spl38_109 | ~spl38_111 | spl38_113, inference(sat_conversion,[],[f1496])).
cnf(s117, plain, ~spl38_14 | spl38_108 | ~spl38_113 | spl38_118 | spl38_119, inference(sat_conversion,[],[f1514])).
cnf(s118, plain, ~spl38_14 | ~spl38_99 | spl38_112 | ~spl38_113 | ~spl38_118, inference(sat_conversion,[],[f1532])).
cnf(s119, plain, ~spl38_14 | ~spl38_99 | spl38_112 | ~spl38_113 | ~spl38_119, inference(sat_conversion,[],[f1552])).
cnf(s120, plain, ~spl38_14 | spl38_97 | spl38_99 | spl38_101 | spl38_102, inference(sat_conversion,[],[f1553])).
cnf(s124, plain, ~spl38_14 | spl38_98 | ~spl38_100 | ~spl38_102, inference(sat_conversion,[],[f1575])).
cnf(s128, plain, ~spl38_14 | spl38_97 | ~spl38_98 | ~spl38_122, inference(sat_conversion,[],[f1616])).
cnf(s131, plain, ~spl38_14 | spl38_98 | ~spl38_100 | ~spl38_101, inference(sat_conversion,[],[f1634])).
cnf(s132, plain, ~spl38_14 | ~spl38_98 | spl38_99 | spl38_122 | spl38_123, inference(sat_conversion,[],[f1644])).
cnf(s133, plain, ~spl38_14 | spl38_97 | ~spl38_98 | ~spl38_123, inference(sat_conversion,[],[f1667])).
cnf(s137, plain, ~spl38_14 | ~spl38_109 | spl38_129, inference(sat_conversion,[],[f1684])).
cnf(s149, plain, ~spl38_5 | spl38_22 | ~spl38_26 | spl38_138 | spl38_139, inference(sat_conversion,[],[f1788])).
cnf(s151, plain, spl38_22 | ~spl38_26 | ~spl38_139, inference(sat_conversion,[],[f1797])).
cnf(s153, plain, ~spl38_11 | spl38_22 | ~spl38_26 | ~spl38_138 | spl38_140 | spl38_144, inference(sat_conversion,[],[f1821])).
cnf(s155, plain, ~spl38_5 | spl38_139 | ~spl38_140 | ~spl38_144, inference(sat_conversion,[],[f1835])).
cnf(s156, plain, spl38_22 | ~spl38_26 | ~spl38_140 | spl38_144, inference(sat_conversion,[],[f1844])).
cnf(s157, plain, ~spl38_5 | spl38_139 | spl38_141 | ~spl38_144, inference(sat_conversion,[],[f1852])).
cnf(s159, plain, ~spl38_11 | ~spl38_138 | spl38_140 | ~spl38_141, inference(sat_conversion,[],[f1868])).
cnf(s168, plain, ~spl38_110 | spl38_113 | ~spl38_129, inference(sat_conversion,[],[f1969])).
cnf(s169, plain, spl38_19, inference(rat,[],[s13,s14])).
cnf(s172, plain, spl38_82 | spl38_81 | ~spl38_4, inference(rat,[],[s86,s87,s93,s84,s61,s82,s169])).
cnf(s173, plain, ~spl38_83 | ~spl38_4, inference(rat,[],[s91,s88,s94,s82,s169])).
cnf(s174, plain, ~spl38_4, inference(rat,[],[s172,s90,s96,s173,s84,s61,s82,s169])).
cnf(s175, plain, spl38_3, inference(rat,[],[s2,s174])).
cnf(s176, plain, ~spl38_2, inference(rat,[],[s19,s175])).
cnf(s178, plain, spl38_99 | spl38_98 | spl38_97 | ~spl38_14, inference(rat,[],[s120,s124,s131,s100])).
cnf(s179, plain, ~spl38_113 | ~spl38_99 | ~spl38_14, inference(rat,[],[s117,s118,s119,s110,s113])).
cnf(s180, plain, ~spl38_99 | spl38_112 | spl38_108 | ~spl38_14, inference(rat,[],[s112,s116,s168,s179,s137,s108])).
cnf(s181, plain, spl38_99 | spl38_97 | ~spl38_14, inference(rat,[],[s132,s128,s133,s178])).
cnf(s182, plain, spl38_99 | ~spl38_14, inference(rat,[],[s102,s181])).
cnf(s183, plain, spl38_112 | ~spl38_14 | spl38_108, inference(rat,[],[s182,s180])).
cnf(s184, plain, spl38_108 | ~spl38_14, inference(rat,[],[s183,s110])).
cnf(s185, plain, ~spl38_14, inference(rat,[],[s184,s113])).
cnf(s186, plain, spl38_15, inference(rat,[],[s9,s185])).
cnf(s187, plain, ~spl38_6, inference(rat,[],[s34,s186])).
cnf(s189, plain, spl38_5, inference(rat,[],[s3,s176,s187])).
cnf(s190, plain, ~spl38_21, inference(rat,[],[s15,s176,s187])).
cnf(s191, plain, spl38_16, inference(rat,[],[s10,s176,s187])).
cnf(s192, plain, spl38_12, inference(rat,[],[s7,s176,s187])).
cnf(s193, plain, spl38_11, inference(rat,[],[s6,s176,s187])).
cnf(s194, plain, spl38_24, inference(rat,[],[s17,s190])).
cnf(s195, plain, ~spl38_22, inference(rat,[],[s44,s194])).
cnf(s199, plain, spl38_140 | ~spl38_26, inference(rat,[],[s157,s159,s153,s149,s151,s189,s193,s195])).
cnf(s200, plain, ~spl38_26, inference(rat,[],[s155,s156,s199,s151,s189,s195])).
cnf(s201, plain, ~spl38_9, inference(rat,[],[s75,s78,s72,s25,s52,s47,s191,s192,s200,s195])).
cnf(s202, plain, spl38_8, inference(rat,[],[s11,s176,s187])).
cnf(s203, plain, spl38_10, inference(rat,[],[s5,s201])).
cnf(s204, plain, $false, inference(rat,[],[s22,s203,s202])).
thf(f1970,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s204])).
% SZS output end Proof for theBenchmark