%----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_0, type, z: a).
thf(func_def_1, type, y: a).
thf(func_def_2, type, cP: (a > a > a)).
thf(func_def_3, type, w: a).
thf(func_def_4, type, x: a).
thf(func_def_5, type, c0: a).
thf(func_def_9, type, sP0: ((a > a > a > $o) > a > a > a > $o)).
thf(func_def_10, type, sP1: (a > a > a > (a > a > a > $o) > $o)).
thf(func_def_11, type, sK2: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_12, type, sK3: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_13, type, sK4: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_14, type, sK5: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_15, type, sK6: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_16, type, sK7: (a > a > a > (a > a > a > $o) > a)).
thf(func_def_17, type, sK8: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_18, type, sK9: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_19, type, sK10: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_20, type, sK11: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_21, type, sK12: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_22, type, sK13: ((a > a > a > $o) > a > a > a > a)).
thf(func_def_23, type, sK14: ((a > a > a > $o) > a)).
thf(func_def_24, type, sK15: ((a > a > a > $o) > a)).
thf(func_def_25, type, sK16: ((a > a > a > $o) > a)).
thf(func_def_26, type, sK17: (a > a > a > $o)).
thf(func_def_27, type, sK18: ((a > a > a > $o) > a)).
thf(func_def_28, type, sK19: ((a > a > a > $o) > a)).
thf(func_def_29, type, sK20: ((a > a > a > $o) > a)).
thf(func_def_30, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_31, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_32, type, db2: !>[X0: $tType]:(X0)).
thf(func_def_33, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(f1,conjecture,(
  (! [X0 : (a > a > a > $o)] : ((! [X3 : a,X2 : a,X1 : a] : ((((X1 = c0) & (X2 = X3)) | ? [X4 : a,X9 : a,X7 : a,X5 : a,X8 : a,X6 : a] : ((X1 = ((cP @ X4 @ X5))) & (X2 = ((cP @ X6 @ X7))) & (X3 = ((cP @ X8 @ X9))) & (X0 @ X5 @ X7 @ X9) & (X0 @ X4 @ X6 @ X8)) | ((X2 = c0) & (X1 = X3))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ w @ z @ z)) & ! [X0 : (a > a > a > $o)] : ((! [X2 : a,X3 : a,X1 : a] : ((((X1 = c0) & (X2 = X3)) | ((X2 = c0) & (X1 = X3)) | ? [X5 : a,X7 : a,X9 : a,X4 : a,X8 : a,X6 : a] : ((X1 = ((cP @ X4 @ X5))) & (X2 = ((cP @ X6 @ X7))) & (X0 @ X5 @ X7 @ X9) & (X3 = ((cP @ X8 @ X9))) & (X0 @ X4 @ X6 @ X8))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ x @ y @ y))) => ! [X0 : (a > a > a > $o)] : ((! [X2 : a,X1 : a,X3 : a] : ((((X2 = c0) & (X1 = X3)) | ((X1 = c0) & (X2 = X3)) | ? [X8 : a,X5 : a,X4 : a,X9 : a,X7 : a,X6 : a] : ((X3 = ((cP @ X8 @ X9))) & (X2 = ((cP @ X6 @ X7))) & (X1 = ((cP @ X4 @ X5))) & (X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM1_pme)).
thf(f2,negated_conjecture,(
  ~((! [X0 : (a > a > a > $o)] : ((! [X3 : a,X2 : a,X1 : a] : ((((X1 = c0) & (X2 = X3)) | ? [X4 : a,X9 : a,X7 : a,X5 : a,X8 : a,X6 : a] : ((X1 = ((cP @ X4 @ X5))) & (X2 = ((cP @ X6 @ X7))) & (X3 = ((cP @ X8 @ X9))) & (X0 @ X5 @ X7 @ X9) & (X0 @ X4 @ X6 @ X8)) | ((X2 = c0) & (X1 = X3))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ w @ z @ z)) & ! [X0 : (a > a > a > $o)] : ((! [X2 : a,X3 : a,X1 : a] : ((((X1 = c0) & (X2 = X3)) | ((X2 = c0) & (X1 = X3)) | ? [X5 : a,X7 : a,X9 : a,X4 : a,X8 : a,X6 : a] : ((X1 = ((cP @ X4 @ X5))) & (X2 = ((cP @ X6 @ X7))) & (X0 @ X5 @ X7 @ X9) & (X3 = ((cP @ X8 @ X9))) & (X0 @ X4 @ X6 @ X8))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ x @ y @ y))) => ! [X0 : (a > a > a > $o)] : ((! [X2 : a,X1 : a,X3 : a] : ((((X2 = c0) & (X1 = X3)) | ((X1 = c0) & (X2 = X3)) | ? [X8 : a,X5 : a,X4 : a,X9 : a,X7 : a,X6 : a] : ((X3 = ((cP @ X8 @ X9))) & (X2 = ((cP @ X6 @ X7))) & (X1 = ((cP @ X4 @ X5))) & (X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~((! [X0 : (a > a > a > $o)] : ((! [X1 : a,X2 : a,X3 : a] : ((((c0 = X3) & (X1 = X2)) | ? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : ((((cP @ X4 @ X7)) = X3) & (((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (X0 @ X7 @ X6 @ X5) & (X0 @ X4 @ X9 @ X8)) | ((X2 = c0) & (X1 = X3))) => (X0 @ X3 @ X2 @ X1)) & $true) => (X0 @ w @ z @ z)) & ! [X10 : (a > a > a > $o)] : ((! [X11 : a,X12 : a,X13 : a] : ((((c0 = X13) & (X11 = X12)) | ((c0 = X11) & (X12 = X13)) | ? [X14 : a,X15 : a,X16 : a,X17 : a,X18 : a,X19 : a] : ((((cP @ X17 @ X14)) = X13) & (((cP @ X19 @ X15)) = X11) & (X10 @ X14 @ X15 @ X16) & (((cP @ X18 @ X16)) = X12) & (X10 @ X17 @ X19 @ X18))) => (X10 @ X13 @ X11 @ X12)) & $true) => (X10 @ x @ y @ y))) => ! [X20 : (a > a > a > $o)] : ((! [X21 : a,X22 : a,X23 : a] : ((((c0 = X21) & (X22 = X23)) | ((c0 = X22) & (X21 = X23)) | ? [X24 : a,X25 : a,X26 : a,X27 : a,X28 : a,X29 : a] : ((((cP @ X24 @ X27)) = X23) & (((cP @ X29 @ X28)) = X21) & (((cP @ X26 @ X25)) = X22) & (X20 @ X26 @ X29 @ X24) & (X20 @ X25 @ X28 @ X27))) => (X20 @ X22 @ X21 @ X23)) & $true) => (X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~((! [X0 : (a > a > a > $o)] : ((! [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ((c0 = X3) & (X1 = X2))) => ($true = ((X0 @ X3 @ X2 @ X1)))) & $true) => (((X0 @ w @ z @ z)) = $true)) & ! [X10 : (a > a > a > $o)] : ((! [X11 : a,X13 : a,X12 : a] : ((? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | ((c0 = X11) & (X12 = X13)) | ((X11 = X12) & (c0 = X13))) => ($true = ((X10 @ X13 @ X11 @ X12)))) & $true) => ($true = ((X10 @ x @ y @ y))))) => ! [X20 : (a > a > a > $o)] : ((! [X23 : a,X22 : a,X21 : a] : ((((X22 = X23) & (c0 = X21)) | ((X21 = X23) & (c0 = X22)) | ? [X25 : a,X24 : a,X26 : a,X27 : a,X29 : a,X28 : a] : ((((cP @ X24 @ X27)) = X23) & ($true = ((X20 @ X26 @ X29 @ X24))) & (((cP @ X26 @ X25)) = X22) & (((cP @ X29 @ X28)) = X21) & ($true = ((X20 @ X25 @ X28 @ X27))))) => (((X20 @ X22 @ X21 @ X23)) = $true)) & $true) => (((X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) = $true)))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ~((! [X10 : (a > a > a > $o)] : (! [X11 : a,X13 : a,X12 : a] : ((? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | ((c0 = X11) & (X12 = X13)) | ((X11 = X12) & (c0 = X13))) => ($true = ((X10 @ X13 @ X11 @ X12)))) => ($true = ((X10 @ x @ y @ y)))) & ! [X0 : (a > a > a > $o)] : (! [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ((c0 = X3) & (X1 = X2))) => ($true = ((X0 @ X3 @ X2 @ X1)))) => (((X0 @ w @ z @ z)) = $true))) => ! [X20 : (a > a > a > $o)] : (! [X23 : a,X22 : a,X21 : a] : ((((X22 = X23) & (c0 = X21)) | ((X21 = X23) & (c0 = X22)) | ? [X25 : a,X24 : a,X26 : a,X27 : a,X29 : a,X28 : a] : ((((cP @ X24 @ X27)) = X23) & ($true = ((X20 @ X26 @ X29 @ X24))) & (((cP @ X26 @ X25)) = X22) & (((cP @ X29 @ X28)) = X21) & ($true = ((X20 @ X25 @ X28 @ X27))))) => (((X20 @ X22 @ X21 @ X23)) = $true)) => (((X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) = $true)))),
  inference(true_and_false_elimination,[],[f4])).
thf(f6,plain,(
  ? [X20 : (a > a > a > $o)] : (! [X21 : a,X23 : a,X22 : a] : ((((X20 @ X22 @ X21 @ X23)) = $true) | (((X22 != X23) | (c0 != X21)) & ((X21 != X23) | (c0 != X22)) & ! [X24 : a,X29 : a,X28 : a,X27 : a,X26 : a,X25 : a] : ((((cP @ X29 @ X28)) != X21) | (((cP @ X26 @ X25)) != X22) | ($true != ((X20 @ X26 @ X29 @ X24))) | (((cP @ X24 @ X27)) != X23) | ($true != ((X20 @ X25 @ X28 @ X27)))))) & (((X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) != $true)) & (! [X10 : (a > a > a > $o)] : (($true = ((X10 @ x @ y @ y))) | ? [X11 : a,X12 : a,X13 : a] : ((? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | ((c0 = X11) & (X12 = X13)) | ((X11 = X12) & (c0 = X13))) & ($true != ((X10 @ X13 @ X11 @ X12))))) & ! [X0 : (a > a > a > $o)] : ((((X0 @ w @ z @ z)) = $true) | ? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ((c0 = X3) & (X1 = X2))) & ($true != ((X0 @ X3 @ X2 @ X1))))))),
  inference(ennf_transformation,[],[f5])).
thf(f7,plain,(
  ! [X10 : (a > a > a > $o)] : (($true = ((X10 @ x @ y @ y))) | ? [X11 : a,X12 : a,X13 : a] : ((? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | ((c0 = X11) & (X12 = X13)) | ((X11 = X12) & (c0 = X13))) & ($true != ((X10 @ X13 @ X11 @ X12))))) & ? [X20 : (a > a > a > $o)] : (! [X21 : a,X23 : a,X22 : a] : ((((X20 @ X22 @ X21 @ X23)) = $true) | (((X22 != X23) | (c0 != X21)) & ((X21 != X23) | (c0 != X22)) & ! [X24 : a,X29 : a,X28 : a,X27 : a,X26 : a,X25 : a] : ((((cP @ X29 @ X28)) != X21) | (((cP @ X26 @ X25)) != X22) | ($true != ((X20 @ X26 @ X29 @ X24))) | (((cP @ X24 @ X27)) != X23) | ($true != ((X20 @ X25 @ X28 @ X27)))))) & (((X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) != $true)) & ! [X0 : (a > a > a > $o)] : ((((X0 @ w @ z @ z)) = $true) | ? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ((c0 = X3) & (X1 = X2))) & ($true != ((X0 @ X3 @ X2 @ X1)))))),
  inference(flattening,[],[f6])).
thf(f8,definition,(
  ! [X2 : a,X1 : a,X3 : a,X0 : (a > a > a > $o)] : (? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ~ ($true = ((sP0 @ X0 @ X3 @ X1 @ X2))))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f9,definition,(
  ! [X10 : (a > a > a > $o),X11 : a,X13 : a,X12 : a] : (? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | ~ (((sP1 @ X12 @ X13 @ X11 @ X10)) = $true))),
  introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
thf(f10,plain,(
  ! [X10 : (a > a > a > $o)] : (($true = ((X10 @ x @ y @ y))) | ? [X11 : a,X12 : a,X13 : a] : (((((sP1 @ X12 @ X13 @ X11 @ X10)) = $true) | ((c0 = X11) & (X12 = X13)) | ((X11 = X12) & (c0 = X13))) & ($true != ((X10 @ X13 @ X11 @ X12))))) & ? [X20 : (a > a > a > $o)] : (! [X21 : a,X23 : a,X22 : a] : ((((X20 @ X22 @ X21 @ X23)) = $true) | (((X22 != X23) | (c0 != X21)) & ((X21 != X23) | (c0 != X22)) & ! [X24 : a,X29 : a,X28 : a,X27 : a,X26 : a,X25 : a] : ((((cP @ X29 @ X28)) != X21) | (((cP @ X26 @ X25)) != X22) | ($true != ((X20 @ X26 @ X29 @ X24))) | (((cP @ X24 @ X27)) != X23) | ($true != ((X20 @ X25 @ X28 @ X27)))))) & (((X20 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) != $true)) & ! [X0 : (a > a > a > $o)] : ((((X0 @ w @ z @ z)) = $true) | ? [X2 : a,X3 : a,X1 : a] : ((((c0 = X2) & (X1 = X3)) | ($true = ((sP0 @ X0 @ X3 @ X1 @ X2))) | ((c0 = X3) & (X1 = X2))) & ($true != ((X0 @ X3 @ X2 @ X1)))))),
  inference(definition_folding,[],[f7,f9,f8])).
thf(f11,plain,(
  ! [X10 : (a > a > a > $o),X11 : a,X13 : a,X12 : a] : (? [X16 : a,X17 : a,X19 : a,X18 : a,X14 : a,X15 : a] : ((((X10 @ X17 @ X19 @ X18)) = $true) & (((cP @ X19 @ X15)) = X11) & (((cP @ X17 @ X14)) = X13) & (((cP @ X18 @ X16)) = X12) & ($true = ((X10 @ X14 @ X15 @ X16)))) | (((sP1 @ X12 @ X13 @ X11 @ X10)) != $true))),
  inference(nnf_transformation,[],[f9])).
thf(f12,plain,(
  ! [X0 : (a > a > a > $o),X1 : a,X2 : a,X3 : a] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : ((((X0 @ X5 @ X6 @ X7)) = $true) & (((cP @ X6 @ X9)) = X1) & (((cP @ X5 @ X8)) = X2) & (((cP @ X7 @ X4)) = X3) & ($true = ((X0 @ X8 @ X9 @ X4)))) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))))),
  inference(rectify,[],[f11])).
thf(f13,plain,(
  ! [X0 : (a > a > a > $o),X1 : a,X2 : a,X3 : a] : ((($true = ((X0 @ (sK3 @ X3 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X2 @ X1 @ X0)))) & (((cP @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0))) = X1) & (((cP @ (sK3 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0))) = X2) & (((cP @ (sK5 @ X3 @ X2 @ X1 @ X0) @ (sK2 @ X3 @ X2 @ X1 @ X0))) = X3) & (((X0 @ (sK6 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0) @ (sK2 @ X3 @ X2 @ X1 @ X0))) = $true)) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0))],[f12])).
thf(f14,plain,(
  ! [X2 : a,X1 : a,X3 : a,X0 : (a > a > a > $o)] : (? [X7 : a,X4 : a,X6 : a,X9 : a,X5 : a,X8 : a] : ((((cP @ X9 @ X6)) = X2) & (((cP @ X8 @ X5)) = X1) & (((cP @ X4 @ X7)) = X3) & ($true = ((X0 @ X4 @ X9 @ X8))) & (((X0 @ X7 @ X6 @ X5)) = $true)) | ($true != ((sP0 @ X0 @ X3 @ X1 @ X2))))),
  inference(nnf_transformation,[],[f8])).
thf(f15,plain,(
  ! [X0 : a,X1 : a,X2 : a,X3 : (a > a > a > $o)] : (? [X4 : a,X5 : a,X6 : a,X7 : a,X8 : a,X9 : a] : ((((cP @ X7 @ X6)) = X0) & (((cP @ X9 @ X8)) = X1) & (((cP @ X5 @ X4)) = X2) & ($true = ((X3 @ X5 @ X7 @ X9))) & (((X3 @ X4 @ X6 @ X8)) = $true)) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(rectify,[],[f14])).
thf(f16,plain,(
  ! [X0 : a,X1 : a,X2 : a,X3 : (a > a > a > $o)] : (((((cP @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK10 @ X3 @ X2 @ X1 @ X0))) = X0) & (((cP @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0))) = X1) & (((cP @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0))) = X2) & (((X3 @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK13 @ X3 @ X2 @ X1 @ X0))) = $true) & (((X3 @ (sK8 @ X3 @ X2 @ X1 @ X0) @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0))) = $true)) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0))],[f15])).
thf(f17,plain,(
  ! [X0 : (a > a > a > $o)] : ((((X0 @ x @ y @ y)) = $true) | ? [X1 : a,X2 : a,X3 : a] : ((($true = ((sP1 @ X2 @ X3 @ X1 @ X0))) | ((c0 = X1) & (X2 = X3)) | ((X1 = X2) & (c0 = X3))) & (((X0 @ X3 @ X1 @ X2)) != $true))) & ? [X4 : (a > a > a > $o)] : (! [X5 : a,X6 : a,X7 : a] : ((((X4 @ X7 @ X5 @ X6)) = $true) | (((X6 != X7) | (c0 != X5)) & ((X5 != X6) | (c0 != X7)) & ! [X8 : a,X9 : a,X10 : a,X11 : a,X12 : a,X13 : a] : ((((cP @ X9 @ X10)) != X5) | (((cP @ X12 @ X13)) != X7) | ($true != ((X4 @ X12 @ X9 @ X8))) | (((cP @ X8 @ X11)) != X6) | ($true != ((X4 @ X13 @ X10 @ X11)))))) & ($true != ((X4 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))))) & ! [X14 : (a > a > a > $o)] : (($true = ((X14 @ w @ z @ z))) | ? [X15 : a,X16 : a,X17 : a] : ((((c0 = X15) & (X16 = X17)) | ($true = ((sP0 @ X14 @ X16 @ X17 @ X15))) | ((c0 = X16) & (X15 = X17))) & ($true != ((X14 @ X16 @ X15 @ X17)))))),
  inference(rectify,[],[f10])).
thf(f18,plain,(
  ! [X0 : (a > a > a > $o)] : ((((X0 @ x @ y @ y)) = $true) | ((($true = ((sP1 @ (sK15 @ X0) @ (sK16 @ X0) @ (sK14 @ X0) @ X0))) | ((c0 = ((sK14 @ X0))) & (((sK16 @ X0)) = ((sK15 @ X0)))) | ((((sK14 @ X0)) = ((sK15 @ X0))) & (c0 = ((sK16 @ X0))))) & ($true != ((X0 @ (sK16 @ X0) @ (sK14 @ X0) @ (sK15 @ X0)))))) & (! [X5 : a,X6 : a,X7 : a] : (($true = ((sK17 @ X7 @ X5 @ X6))) | (((X6 != X7) | (c0 != X5)) & ((X5 != X6) | (c0 != X7)) & ! [X8 : a,X9 : a,X10 : a,X11 : a,X12 : a,X13 : a] : ((((cP @ X9 @ X10)) != X5) | (((cP @ X12 @ X13)) != X7) | ($true != ((sK17 @ X12 @ X9 @ X8))) | (((cP @ X8 @ X11)) != X6) | (((sK17 @ X13 @ X10 @ X11)) != $true)))) & (((sK17 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) != $true)) & ! [X14 : (a > a > a > $o)] : (($true = ((X14 @ w @ z @ z))) | ((((c0 = ((sK18 @ X14))) & (((sK19 @ X14)) = ((sK20 @ X14)))) | ($true = ((sP0 @ X14 @ (sK19 @ X14) @ (sK20 @ X14) @ (sK18 @ X14)))) | ((c0 = ((sK19 @ X14))) & (((sK18 @ X14)) = ((sK20 @ X14))))) & (((X14 @ (sK19 @ X14) @ (sK18 @ X14) @ (sK20 @ X14))) != $true)))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK17,vAPP]),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X4,$thf(sK17)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0)),skolemize(X9,$thf(sK7 @ X3 @ X2 @ X1 @ X0))],[f17])).
thf(f19,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > a > $o),X1 : a] : ((((X0 @ (sK6 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0) @ (sK2 @ X3 @ X2 @ X1 @ X0))) = $true) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f13])).
thf(f20,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > a > $o),X1 : a] : ((((cP @ (sK5 @ X3 @ X2 @ X1 @ X0) @ (sK2 @ X3 @ X2 @ X1 @ X0))) = X3) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f13])).
thf(f21,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > a > $o),X1 : a] : ((((cP @ (sK3 @ X3 @ X2 @ X1 @ X0) @ (sK6 @ X3 @ X2 @ X1 @ X0))) = X2) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f13])).
thf(f22,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > a > $o),X1 : a] : ((((cP @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK7 @ X3 @ X2 @ X1 @ X0))) = X1) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f13])).
thf(f23,plain,(
  ( ! [X2 : a,X3 : a,X0 : (a > a > a > $o),X1 : a] : (($true = ((X0 @ (sK3 @ X3 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X2 @ X1 @ X0)))) | ($true != ((sP1 @ X3 @ X2 @ X1 @ X0)))) )),
  inference(cnf_transformation,[],[f13])).
thf(f24,plain,(
  ( ! [X2 : a,X3 : (a > a > a > $o),X0 : a,X1 : a] : ((((X3 @ (sK8 @ X3 @ X2 @ X1 @ X0) @ (sK10 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0))) = $true) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f25,plain,(
  ( ! [X2 : a,X3 : (a > a > a > $o),X0 : a,X1 : a] : ((((X3 @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK13 @ X3 @ X2 @ X1 @ X0))) = $true) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f26,plain,(
  ( ! [X2 : a,X3 : (a > a > a > $o),X0 : a,X1 : a] : ((((cP @ (sK9 @ X3 @ X2 @ X1 @ X0) @ (sK8 @ X3 @ X2 @ X1 @ X0))) = X2) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f27,plain,(
  ( ! [X2 : a,X3 : (a > a > a > $o),X0 : a,X1 : a] : ((((cP @ (sK13 @ X3 @ X2 @ X1 @ X0) @ (sK12 @ X3 @ X2 @ X1 @ X0))) = X1) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f28,plain,(
  ( ! [X2 : a,X3 : (a > a > a > $o),X0 : a,X1 : a] : ((((cP @ (sK11 @ X3 @ X2 @ X1 @ X0) @ (sK10 @ X3 @ X2 @ X1 @ X0))) = X0) | (((sP0 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
  inference(cnf_transformation,[],[f16])).
thf(f29,plain,(
  ( ! [X14 : (a > a > a > $o)] : ((((X14 @ (sK19 @ X14) @ (sK18 @ X14) @ (sK20 @ X14))) != $true) | ($true = ((X14 @ w @ z @ z)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f30,plain,(
  ( ! [X14 : (a > a > a > $o)] : (($true = ((sP0 @ X14 @ (sK19 @ X14) @ (sK20 @ X14) @ (sK18 @ X14)))) | ($true = ((X14 @ w @ z @ z))) | (((sK19 @ X14)) = ((sK20 @ X14))) | (((sK18 @ X14)) = ((sK20 @ X14)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f31,plain,(
  ( ! [X14 : (a > a > a > $o)] : (($true = ((sP0 @ X14 @ (sK19 @ X14) @ (sK20 @ X14) @ (sK18 @ X14)))) | (c0 = ((sK19 @ X14))) | (((sK19 @ X14)) = ((sK20 @ X14))) | ($true = ((X14 @ w @ z @ z)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f32,plain,(
  ( ! [X14 : (a > a > a > $o)] : (($true = ((sP0 @ X14 @ (sK19 @ X14) @ (sK20 @ X14) @ (sK18 @ X14)))) | (c0 = ((sK18 @ X14))) | (((sK18 @ X14)) = ((sK20 @ X14))) | ($true = ((X14 @ w @ z @ z)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f33,plain,(
  ( ! [X14 : (a > a > a > $o)] : (($true = ((sP0 @ X14 @ (sK19 @ X14) @ (sK20 @ X14) @ (sK18 @ X14)))) | (c0 = ((sK18 @ X14))) | (c0 = ((sK19 @ X14))) | ($true = ((X14 @ w @ z @ z)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f34,plain,(
  (((sK17 @ (cP @ x @ w) @ (cP @ y @ z) @ (cP @ y @ z))) != $true)),
  inference(cnf_transformation,[],[f18])).
thf(f35,plain,(
  ( ! [X10 : a,X11 : a,X8 : a,X6 : a,X9 : a,X7 : a,X5 : a,X12 : a,X13 : a] : (($true = ((sK17 @ X7 @ X5 @ X6))) | (((cP @ X9 @ X10)) != X5) | (((cP @ X12 @ X13)) != X7) | ($true != ((sK17 @ X12 @ X9 @ X8))) | (((cP @ X8 @ X11)) != X6) | (((sK17 @ X13 @ X10 @ X11)) != $true)) )),
  inference(cnf_transformation,[],[f18])).
thf(f36,plain,(
  ( ! [X6 : a,X7 : a,X5 : a] : (($true = ((sK17 @ X7 @ X5 @ X6))) | (X5 != X6) | (c0 != X7)) )),
  inference(cnf_transformation,[],[f18])).
thf(f37,plain,(
  ( ! [X6 : a,X7 : a,X5 : a] : (($true = ((sK17 @ X7 @ X5 @ X6))) | (X6 != X7) | (c0 != X5)) )),
  inference(cnf_transformation,[],[f18])).
thf(f38,plain,(
  ( ! [X0 : (a > a > a > $o)] : (($true != ((X0 @ (sK16 @ X0) @ (sK14 @ X0) @ (sK15 @ X0)))) | (((X0 @ x @ y @ y)) = $true)) )),
  inference(cnf_transformation,[],[f18])).
thf(f39,plain,(
  ( ! [X0 : (a > a > a > $o)] : (($true = ((sP1 @ (sK15 @ X0) @ (sK16 @ X0) @ (sK14 @ X0) @ X0))) | (((sK16 @ X0)) = ((sK15 @ X0))) | (c0 = ((sK16 @ X0))) | (((X0 @ x @ y @ y)) = $true)) )),
  inference(cnf_transformation,[],[f18])).
thf(f40,plain,(
  ( ! [X0 : (a > a > a > $o)] : (($true = ((sP1 @ (sK15 @ X0) @ (sK16 @ X0) @ (sK14 @ X0) @ X0))) | (((X0 @ x @ y @ y)) = $true) | (((sK14 @ X0)) = ((sK15 @ X0))) | (((sK16 @ X0)) = ((sK15 @ X0)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f41,plain,(
  ( ! [X0 : (a > a > a > $o)] : (($true = ((sP1 @ (sK15 @ X0) @ (sK16 @ X0) @ (sK14 @ X0) @ X0))) | (c0 = ((sK16 @ X0))) | (((X0 @ x @ y @ y)) = $true) | (c0 = ((sK14 @ X0)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f42,plain,(
  ( ! [X0 : (a > a > a > $o)] : (($true = ((sP1 @ (sK15 @ X0) @ (sK16 @ X0) @ (sK14 @ X0) @ X0))) | (c0 = ((sK14 @ X0))) | (((X0 @ x @ y @ y)) = $true) | (((sK14 @ X0)) = ((sK15 @ X0)))) )),
  inference(cnf_transformation,[],[f18])).
thf(f45,plain,(
  ( ! [X7 : a,X5 : a] : ((((sK17 @ X7 @ X5 @ X7)) = $true) | (c0 != X5)) )),
  inference(equality_resolution,[],[f37])).
thf(f46,plain,(
  ( ! [X7 : a] : (($true = ((sK17 @ X7 @ c0 @ X7)))) )),
  inference(equality_resolution,[],[f45])).
thf(f47,plain,(
  ( ! [X6 : a,X7 : a] : ((((sK17 @ X7 @ X6 @ X6)) = $true) | (c0 != X7)) )),
  inference(equality_resolution,[],[f36])).
thf(f48,plain,(
  ( ! [X6 : a] : (($true = ((sK17 @ c0 @ X6 @ X6)))) )),
  inference(equality_resolution,[],[f47])).
thf(f49,plain,(
  ( ! [X10 : a,X11 : a,X8 : a,X6 : a,X9 : a,X7 : a,X12 : a,X13 : a] : ((((sK17 @ X7 @ (cP @ X9 @ X10) @ X6)) = $true) | (((cP @ X12 @ X13)) != X7) | ($true != ((sK17 @ X12 @ X9 @ X8))) | (((cP @ X8 @ X11)) != X6) | (((sK17 @ X13 @ X10 @ X11)) != $true)) )),
  inference(equality_resolution,[],[f35])).
thf(f50,plain,(
  ( ! [X10 : a,X11 : a,X8 : a,X6 : a,X9 : a,X12 : a,X13 : a] : ((((sK17 @ (cP @ X12 @ X13) @ (cP @ X9 @ X10) @ X6)) = $true) | ($true != ((sK17 @ X12 @ X9 @ X8))) | (((cP @ X8 @ X11)) != X6) | (((sK17 @ X13 @ X10 @ X11)) != $true)) )),
  inference(equality_resolution,[],[f49])).
thf(f51,plain,(
  ( ! [X10 : a,X11 : a,X8 : a,X9 : a,X12 : a,X13 : a] : (($true = ((sK17 @ (cP @ X12 @ X13) @ (cP @ X9 @ X10) @ (cP @ X8 @ X11)))) | (((sK17 @ X13 @ X10 @ X11)) != $true) | ($true != ((sK17 @ X12 @ X9 @ X8)))) )),
  inference(equality_resolution,[],[f50])).
thf(f54,plain,(
  ($true != $true) | ($true != ((sK17 @ w @ z @ z))) | ($true != ((sK17 @ x @ y @ y)))),
  inference(superposition,[],[f34,f51])).
thf(f55,plain,(
  ($true != ((sK17 @ x @ y @ y))) | ($true != ((sK17 @ w @ z @ z)))),
  inference(trivial_inequality_removal,[],[f54])).
thf(f57,definition,(
  spl21_1 <=> ($true = ((sK17 @ w @ z @ z)))),
  introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition])).
thf(f59,plain,(
  ($true != ((sK17 @ w @ z @ z))) | spl21_1),
  inference(avatar_component_clause,[],[f57])).
thf(f61,definition,(
  spl21_2 <=> ($true = ((sK17 @ x @ y @ y)))),
  introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition])).
thf(f63,plain,(
  ($true != ((sK17 @ x @ y @ y))) | spl21_2),
  inference(avatar_component_clause,[],[f61])).
thf(f64,plain,(
  ~spl21_1 | ~spl21_2),
  inference(avatar_split_clause,[],[f55,f61,f57])).
thf(f65,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : (a > a > a > $o),X6 : a,X7 : a,X4 : a,X5 : a] : (($true != ((sK17 @ (sK8 @ X1 @ X0 @ X2 @ X3) @ X5 @ X7))) | (((sP0 @ X1 @ X0 @ X2 @ X3)) != $true) | (((sK17 @ (sK9 @ X1 @ X0 @ X2 @ X3) @ X4 @ X6)) != $true) | ($true = ((sK17 @ X0 @ (cP @ X4 @ X5) @ (cP @ X6 @ X7))))) )),
  inference(superposition,[],[f51,f26])).
thf(f92,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X6 : a,X7 : (a > a > a > $o),X4 : a,X5 : a] : (($true != ((sK17 @ X2 @ X4 @ (sK2 @ X0 @ X5 @ X6 @ X7)))) | ($true != ((sP1 @ X0 @ X5 @ X6 @ X7))) | (((sK17 @ X1 @ X3 @ (sK5 @ X0 @ X5 @ X6 @ X7))) != $true) | ($true = ((sK17 @ (cP @ X1 @ X2) @ (cP @ X3 @ X4) @ X0)))) )),
  inference(superposition,[],[f51,f20])).
thf(f129,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true != $true) | ($true = ((sK17 @ X0 @ (cP @ X3 @ (sK10 @ sK17 @ X0 @ X1 @ X2)) @ (cP @ X4 @ (sK12 @ sK17 @ X0 @ X1 @ X2))))) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true != ((sK17 @ (sK9 @ sK17 @ X0 @ X1 @ X2) @ X3 @ X4)))) )),
  inference(superposition,[],[f65,f24])).
thf(f134,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != ((sK17 @ (sK9 @ sK17 @ X0 @ X1 @ X2) @ X3 @ X4))) | ($true != $true) | ($true = ((sK17 @ X0 @ (cP @ X3 @ (sK10 @ sK17 @ X0 @ X1 @ X2)) @ (cP @ X4 @ (sK12 @ sK17 @ X0 @ X1 @ X2))))) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2)))) )),
  inference(duplicate_literal_removal,[],[f129])).
thf(f135,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true = ((sK17 @ X0 @ (cP @ X3 @ (sK10 @ sK17 @ X0 @ X1 @ X2)) @ (cP @ X4 @ (sK12 @ sK17 @ X0 @ X1 @ X2))))) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true != ((sK17 @ (sK9 @ sK17 @ X0 @ X1 @ X2) @ X3 @ X4)))) )),
  inference(trivial_inequality_removal,[],[f134])).
thf(f263,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != ((sK17 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK17)))) | ($true = ((sK17 @ (cP @ X3 @ (sK6 @ X0 @ X1 @ X2 @ sK17)) @ (cP @ X4 @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0))) | ($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true != $true)) )),
  inference(superposition,[],[f92,f19])).
thf(f264,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true != $true) | ($true = ((sK17 @ (cP @ X3 @ (sK6 @ X0 @ X1 @ X2 @ sK17)) @ (cP @ X4 @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0))) | ($true != ((sK17 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK17))))) )),
  inference(duplicate_literal_removal,[],[f263])).
thf(f265,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a,X4 : a] : (($true = ((sK17 @ (cP @ X3 @ (sK6 @ X0 @ X1 @ X2 @ sK17)) @ (cP @ X4 @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0))) | ($true != ((sK17 @ X3 @ X4 @ (sK5 @ X0 @ X1 @ X2 @ sK17)))) | ($true != ((sP1 @ X0 @ X1 @ X2 @ sK17)))) )),
  inference(trivial_inequality_removal,[],[f264])).
thf(f430,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((((sK17 @ X1 @ X0 @ (cP @ X3 @ (sK12 @ sK17 @ X1 @ X2 @ X0)))) = $true) | (((sK17 @ (sK9 @ sK17 @ X1 @ X2 @ X0) @ (sK11 @ sK17 @ X1 @ X2 @ X0) @ X3)) != $true) | ($true != ((sP0 @ sK17 @ X1 @ X2 @ X0))) | ($true != ((sP0 @ sK17 @ X1 @ X2 @ X0)))) )),
  inference(superposition,[],[f135,f28])).
thf(f437,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((((sK17 @ (sK9 @ sK17 @ X1 @ X2 @ X0) @ (sK11 @ sK17 @ X1 @ X2 @ X0) @ X3)) != $true) | ($true != ((sP0 @ sK17 @ X1 @ X2 @ X0))) | (((sK17 @ X1 @ X0 @ (cP @ X3 @ (sK12 @ sK17 @ X1 @ X2 @ X0)))) = $true)) )),
  inference(duplicate_literal_removal,[],[f430])).
thf(f720,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((((sK17 @ X0 @ (cP @ X3 @ (sK7 @ X1 @ X0 @ X2 @ sK17)) @ X1)) = $true) | ($true != ((sP1 @ X1 @ X0 @ X2 @ sK17))) | (((sK17 @ (sK3 @ X1 @ X0 @ X2 @ sK17) @ X3 @ (sK5 @ X1 @ X0 @ X2 @ sK17))) != $true) | ($true != ((sP1 @ X1 @ X0 @ X2 @ sK17)))) )),
  inference(superposition,[],[f265,f21])).
thf(f731,plain,(
  ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((((sK17 @ (sK3 @ X1 @ X0 @ X2 @ sK17) @ X3 @ (sK5 @ X1 @ X0 @ X2 @ sK17))) != $true) | ($true != ((sP1 @ X1 @ X0 @ X2 @ sK17))) | (((sK17 @ X0 @ (cP @ X3 @ (sK7 @ X1 @ X0 @ X2 @ sK17)) @ X1)) = $true)) )),
  inference(duplicate_literal_removal,[],[f720])).
thf(f808,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true = ((sK17 @ X0 @ X2 @ (cP @ (sK13 @ sK17 @ X0 @ X1 @ X2) @ (sK12 @ sK17 @ X0 @ X1 @ X2)))))) )),
  inference(superposition,[],[f437,f25])).
thf(f809,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sP0 @ sK17 @ X0 @ X1 @ X2))) | ($true = ((sK17 @ X0 @ X2 @ (cP @ (sK13 @ sK17 @ X0 @ X1 @ X2) @ (sK12 @ sK17 @ X0 @ X1 @ X2))))) | ($true != $true)) )),
  inference(duplicate_literal_removal,[],[f808])).
thf(f810,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK17 @ X0 @ X2 @ (cP @ (sK13 @ sK17 @ X0 @ X1 @ X2) @ (sK12 @ sK17 @ X0 @ X1 @ X2))))) | ($true != ((sP0 @ sK17 @ X0 @ X1 @ X2)))) )),
  inference(trivial_inequality_removal,[],[f809])).
thf(f814,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sP0 @ sK17 @ X1 @ X0 @ X2))) | (((sK17 @ X1 @ X2 @ X0)) = $true) | ($true != ((sP0 @ sK17 @ X1 @ X0 @ X2)))) )),
  inference(superposition,[],[f810,f27])).
thf(f838,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sP0 @ sK17 @ X1 @ X0 @ X2))) | (((sK17 @ X1 @ X2 @ X0)) = $true)) )),
  inference(duplicate_literal_removal,[],[f814])).
thf(f842,plain,(
  ($true != $true) | (((sK20 @ sK17)) = ((sK18 @ sK17))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true = ((sK17 @ w @ z @ z)))),
  inference(superposition,[],[f838,f30])).
thf(f843,plain,(
  (((sK20 @ sK17)) = ((sK18 @ sK17))) | (c0 = ((sK18 @ sK17))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | ($true = ((sK17 @ w @ z @ z))) | ($true != $true)),
  inference(superposition,[],[f838,f32])).
thf(f844,plain,(
  ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | (c0 = ((sK19 @ sK17))) | ($true = ((sK17 @ w @ z @ z))) | (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true != $true)),
  inference(superposition,[],[f838,f31])).
thf(f845,plain,(
  (c0 = ((sK18 @ sK17))) | (c0 = ((sK19 @ sK17))) | ($true != $true) | ($true = ((sK17 @ w @ z @ z))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17))))),
  inference(superposition,[],[f838,f33])).
thf(f850,plain,(
  (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | (((sK20 @ sK17)) = ((sK18 @ sK17))) | ($true = ((sK17 @ w @ z @ z)))),
  inference(trivial_inequality_removal,[],[f842])).
thf(f852,plain,(
  ($true = ((sK17 @ w @ z @ z))) | (c0 = ((sK18 @ sK17))) | (c0 = ((sK19 @ sK17))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17))))),
  inference(trivial_inequality_removal,[],[f845])).
thf(f853,plain,(
  (c0 = ((sK18 @ sK17))) | ($true = ((sK17 @ w @ z @ z))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | (((sK20 @ sK17)) = ((sK18 @ sK17)))),
  inference(trivial_inequality_removal,[],[f843])).
thf(f857,plain,(
  (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true = ((sK17 @ w @ z @ z))) | (c0 = ((sK19 @ sK17))) | ($true = ((sK17 @ (sK19 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17))))),
  inference(trivial_inequality_removal,[],[f844])).
thf(f858,plain,(
  (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true = ((sK17 @ w @ z @ z))) | (((sK20 @ sK17)) = ((sK18 @ sK17)))),
  inference(forward_subsumption_resolution,[],[f850,f29])).
thf(f859,plain,(
  (c0 = ((sK19 @ sK17))) | (c0 = ((sK18 @ sK17))) | ($true = ((sK17 @ w @ z @ z)))),
  inference(forward_subsumption_resolution,[],[f852,f29])).
thf(f860,plain,(
  (c0 = ((sK18 @ sK17))) | (((sK20 @ sK17)) = ((sK18 @ sK17))) | ($true = ((sK17 @ w @ z @ z)))),
  inference(forward_subsumption_resolution,[],[f853,f29])).
thf(f861,plain,(
  (((sK20 @ sK17)) = ((sK19 @ sK17))) | ($true = ((sK17 @ w @ z @ z))) | (c0 = ((sK19 @ sK17)))),
  inference(forward_subsumption_resolution,[],[f857,f29])).
thf(f867,definition,(
  spl21_3 <=> (((sK20 @ sK17)) = ((sK19 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition])).
thf(f869,plain,(
  (((sK20 @ sK17)) = ((sK19 @ sK17))) | ~spl21_3),
  inference(avatar_component_clause,[],[f867])).
thf(f871,definition,(
  spl21_4 <=> (((sK20 @ sK17)) = ((sK18 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition])).
thf(f873,plain,(
  (((sK20 @ sK17)) = ((sK18 @ sK17))) | ~spl21_4),
  inference(avatar_component_clause,[],[f871])).
thf(f876,definition,(
  spl21_5 <=> (c0 = ((sK18 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition])).
thf(f878,plain,(
  (c0 = ((sK18 @ sK17))) | ~spl21_5),
  inference(avatar_component_clause,[],[f876])).
thf(f880,definition,(
  spl21_6 <=> (c0 = ((sK19 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition])).
thf(f882,plain,(
  (c0 = ((sK19 @ sK17))) | ~spl21_6),
  inference(avatar_component_clause,[],[f880])).
thf(f886,plain,(
  spl21_6 | spl21_5 | spl21_1),
  inference(avatar_split_clause,[],[f859,f57,f876,f880])).
thf(f887,plain,(
  spl21_1 | spl21_3 | spl21_6),
  inference(avatar_split_clause,[],[f861,f880,f867,f57])).
thf(f888,plain,(
  spl21_4 | spl21_1 | spl21_5),
  inference(avatar_split_clause,[],[f860,f876,f57,f871])).
thf(f889,plain,(
  spl21_3 | spl21_1 | spl21_4),
  inference(avatar_split_clause,[],[f858,f871,f57,f867])).
thf(f1111,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true != $true) | ($true = ((sK17 @ X1 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK17) @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0)))) )),
  inference(superposition,[],[f731,f23])).
thf(f1112,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sP1 @ X0 @ X1 @ X2 @ sK17))) | ($true = ((sK17 @ X1 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK17) @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0))) | ($true != $true)) )),
  inference(duplicate_literal_removal,[],[f1111])).
thf(f1113,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK17 @ X1 @ (cP @ (sK4 @ X0 @ X1 @ X2 @ sK17) @ (sK7 @ X0 @ X1 @ X2 @ sK17)) @ X0))) | ($true != ((sP1 @ X0 @ X1 @ X2 @ sK17)))) )),
  inference(trivial_inequality_removal,[],[f1112])).
thf(f1327,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sK17 @ X1 @ X0 @ X2)) = $true) | (((sP1 @ X2 @ X1 @ X0 @ sK17)) != $true) | (((sP1 @ X2 @ X1 @ X0 @ sK17)) != $true)) )),
  inference(superposition,[],[f1113,f22])).
thf(f1357,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sP1 @ X2 @ X1 @ X0 @ sK17)) != $true) | (((sK17 @ X1 @ X0 @ X2)) = $true)) )),
  inference(duplicate_literal_removal,[],[f1327])).
thf(f1375,plain,(
  ($true != $true) | (((sK15 @ sK17)) = ((sK16 @ sK17))) | (((sK15 @ sK17)) = ((sK14 @ sK17))) | ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | ($true = ((sK17 @ x @ y @ y)))),
  inference(superposition,[],[f1357,f40])).
thf(f1376,plain,(
  ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | (((sK15 @ sK17)) = ((sK14 @ sK17))) | ($true = ((sK17 @ x @ y @ y))) | ($true != $true) | (c0 = ((sK14 @ sK17)))),
  inference(superposition,[],[f1357,f42])).
thf(f1377,plain,(
  ($true != $true) | (((sK15 @ sK17)) = ((sK16 @ sK17))) | ($true = ((sK17 @ x @ y @ y))) | (c0 = ((sK16 @ sK17))) | ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17))))),
  inference(superposition,[],[f1357,f39])).
thf(f1378,plain,(
  ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | ($true != $true) | (c0 = ((sK14 @ sK17))) | (c0 = ((sK16 @ sK17))) | ($true = ((sK17 @ x @ y @ y)))),
  inference(superposition,[],[f1357,f41])).
thf(f1379,plain,(
  ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | (c0 = ((sK14 @ sK17))) | ($true = ((sK17 @ x @ y @ y))) | (((sK15 @ sK17)) = ((sK14 @ sK17)))),
  inference(trivial_inequality_removal,[],[f1376])).
thf(f1380,plain,(
  ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | ($true = ((sK17 @ x @ y @ y))) | (((sK15 @ sK17)) = ((sK16 @ sK17))) | (((sK15 @ sK17)) = ((sK14 @ sK17)))),
  inference(trivial_inequality_removal,[],[f1375])).
thf(f1381,plain,(
  ($true = ((sK17 @ x @ y @ y))) | (c0 = ((sK16 @ sK17))) | ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | (((sK15 @ sK17)) = ((sK16 @ sK17)))),
  inference(trivial_inequality_removal,[],[f1377])).
thf(f1382,plain,(
  (c0 = ((sK16 @ sK17))) | ($true = ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17)))) | ($true = ((sK17 @ x @ y @ y))) | (c0 = ((sK14 @ sK17)))),
  inference(trivial_inequality_removal,[],[f1378])).
thf(f1383,plain,(
  (c0 = ((sK14 @ sK17))) | ($true = ((sK17 @ x @ y @ y))) | (((sK15 @ sK17)) = ((sK14 @ sK17)))),
  inference(forward_subsumption_resolution,[],[f1379,f38])).
thf(f1384,plain,(
  (((sK15 @ sK17)) = ((sK16 @ sK17))) | (((sK15 @ sK17)) = ((sK14 @ sK17))) | ($true = ((sK17 @ x @ y @ y)))),
  inference(forward_subsumption_resolution,[],[f1380,f38])).
thf(f1386,plain,(
  (c0 = ((sK16 @ sK17))) | ($true = ((sK17 @ x @ y @ y))) | (c0 = ((sK14 @ sK17)))),
  inference(forward_subsumption_resolution,[],[f1382,f38])).
thf(f1390,definition,(
  spl21_7 <=> (((sK15 @ sK17)) = ((sK16 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition])).
thf(f1392,plain,(
  (((sK15 @ sK17)) = ((sK16 @ sK17))) | ~spl21_7),
  inference(avatar_component_clause,[],[f1390])).
thf(f1398,definition,(
  spl21_9 <=> (c0 = ((sK16 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition])).
thf(f1400,plain,(
  (c0 = ((sK16 @ sK17))) | ~spl21_9),
  inference(avatar_component_clause,[],[f1398])).
thf(f1404,definition,(
  spl21_10 <=> (c0 = ((sK14 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition])).
thf(f1406,plain,(
  (c0 = ((sK14 @ sK17))) | ~spl21_10),
  inference(avatar_component_clause,[],[f1404])).
thf(f1408,definition,(
  spl21_11 <=> (((sK15 @ sK17)) = ((sK14 @ sK17)))),
  introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition])).
thf(f1410,plain,(
  (((sK15 @ sK17)) = ((sK14 @ sK17))) | ~spl21_11),
  inference(avatar_component_clause,[],[f1408])).
thf(f1414,plain,(
  ($true = ((sK17 @ x @ y @ y))) | (((sK15 @ sK17)) = ((sK16 @ sK17))) | (c0 = ((sK16 @ sK17)))),
  inference(forward_subsumption_resolution,[],[f1381,f38])).
thf(f1415,plain,(
  spl21_11 | spl21_2 | spl21_10),
  inference(avatar_split_clause,[],[f1383,f1404,f61,f1408])).
thf(f1416,plain,(
  spl21_2 | spl21_10 | spl21_9),
  inference(avatar_split_clause,[],[f1386,f1398,f1404,f61])).
thf(f1417,plain,(
  spl21_11 | spl21_2 | spl21_7),
  inference(avatar_split_clause,[],[f1384,f1390,f61,f1408])).
thf(f1418,plain,(
  spl21_7 | spl21_9 | spl21_2),
  inference(avatar_split_clause,[],[f1414,f61,f1398,f1390])).
thf(f1449,plain,(
  ($true = ((sK17 @ w @ z @ z))) | ($true != ((sK17 @ (sK20 @ sK17) @ (sK18 @ sK17) @ (sK20 @ sK17)))) | ~spl21_3),
  inference(superposition,[],[f29,f869])).
thf(f1460,plain,(
  ($true = ((sK17 @ w @ z @ z))) | (((sK17 @ (sK20 @ sK17) @ c0 @ (sK20 @ sK17))) != $true) | (~spl21_3 | ~spl21_5)),
  inference(forward_demodulation,[],[f1449,f878])).
thf(f1462,plain,(
  ($true = ((sK17 @ w @ z @ z))) | (~spl21_3 | ~spl21_5)),
  inference(forward_subsumption_resolution,[],[f1460,f46])).
thf(f1464,plain,(
  spl21_1 | ~spl21_3 | ~spl21_5),
  inference(avatar_split_clause,[],[f1462,f876,f867,f57])).
thf(f1481,plain,(
  ($true = ((sK17 @ x @ y @ y))) | ($true != ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK14 @ sK17)))) | ~spl21_11),
  inference(superposition,[],[f38,f1410])).
thf(f1487,plain,(
  ($true != ((sK17 @ (sK16 @ sK17) @ (sK14 @ sK17) @ (sK14 @ sK17)))) | (spl21_2 | ~spl21_11)),
  inference(forward_subsumption_resolution,[],[f1481,f63])).
thf(f1488,plain,(
  (((sK17 @ c0 @ (sK14 @ sK17) @ (sK14 @ sK17))) != $true) | (spl21_2 | ~spl21_9 | ~spl21_11)),
  inference(forward_demodulation,[],[f1487,f1400])).
thf(f1489,plain,(
  $false | (spl21_2 | ~spl21_9 | ~spl21_11)),
  inference(forward_subsumption_resolution,[],[f1488,f48])).
thf(f1490,plain,(
  spl21_2 | ~spl21_9 | ~spl21_11),
  inference(avatar_contradiction_clause,[],[f1489])).
thf(f1621,plain,(
  (((sK17 @ (sK15 @ sK17) @ (sK14 @ sK17) @ (sK15 @ sK17))) != $true) | ($true = ((sK17 @ x @ y @ y))) | ~spl21_7),
  inference(superposition,[],[f38,f1392])).
thf(f1630,plain,(
  ($true != ((sK17 @ (sK15 @ sK17) @ c0 @ (sK15 @ sK17)))) | ($true = ((sK17 @ x @ y @ y))) | (~spl21_7 | ~spl21_10)),
  inference(forward_demodulation,[],[f1621,f1406])).
thf(f1642,plain,(
  ($true = ((sK17 @ x @ y @ y))) | (~spl21_7 | ~spl21_10)),
  inference(forward_subsumption_resolution,[],[f1630,f46])).
thf(f1645,plain,(
  spl21_2 | ~spl21_7 | ~spl21_10),
  inference(avatar_split_clause,[],[f1642,f1404,f1390,f61])).
thf(f1782,plain,(
  ($true = ((sK17 @ w @ z @ z))) | (((sK17 @ (sK19 @ sK17) @ (sK20 @ sK17) @ (sK20 @ sK17))) != $true) | ~spl21_4),
  inference(superposition,[],[f29,f873])).
thf(f1789,plain,(
  (((sK17 @ (sK19 @ sK17) @ (sK20 @ sK17) @ (sK20 @ sK17))) != $true) | (spl21_1 | ~spl21_4)),
  inference(forward_subsumption_resolution,[],[f1782,f59])).
thf(f1790,plain,(
  ($true != ((sK17 @ c0 @ (sK20 @ sK17) @ (sK20 @ sK17)))) | (spl21_1 | ~spl21_4 | ~spl21_6)),
  inference(forward_demodulation,[],[f1789,f882])).
thf(f1791,plain,(
  $false | (spl21_1 | ~spl21_4 | ~spl21_6)),
  inference(forward_subsumption_resolution,[],[f1790,f48])).
thf(f1792,plain,(
  spl21_1 | ~spl21_4 | ~spl21_6),
  inference(avatar_contradiction_clause,[],[f1791])).
cnf(s1, plain, ~spl21_1 | ~spl21_2, inference(sat_conversion,[],[f64])).
cnf(s6, plain, spl21_1 | spl21_5 | spl21_6, inference(sat_conversion,[],[f886])).
cnf(s7, plain, spl21_1 | spl21_3 | spl21_6, inference(sat_conversion,[],[f887])).
cnf(s8, plain, spl21_1 | spl21_4 | spl21_5, inference(sat_conversion,[],[f888])).
cnf(s9, plain, spl21_1 | spl21_3 | spl21_4, inference(sat_conversion,[],[f889])).
cnf(s14, plain, spl21_2 | spl21_10 | spl21_11, inference(sat_conversion,[],[f1415])).
cnf(s15, plain, spl21_2 | spl21_9 | spl21_10, inference(sat_conversion,[],[f1416])).
cnf(s16, plain, spl21_2 | spl21_7 | spl21_11, inference(sat_conversion,[],[f1417])).
cnf(s17, plain, spl21_2 | spl21_7 | spl21_9, inference(sat_conversion,[],[f1418])).
cnf(s23, plain, spl21_1 | ~spl21_3 | ~spl21_5, inference(sat_conversion,[],[f1464])).
cnf(s27, plain, spl21_2 | ~spl21_9 | ~spl21_11, inference(sat_conversion,[],[f1490])).
cnf(s42, plain, spl21_2 | ~spl21_7 | ~spl21_10, inference(sat_conversion,[],[f1645])).
cnf(s58, plain, spl21_1 | ~spl21_4 | ~spl21_6, inference(sat_conversion,[],[f1792])).
cnf(s59, plain, spl21_3 | spl21_1, inference(rat,[],[s58,s7,s9])).
cnf(s60, plain, spl21_5 | spl21_1, inference(rat,[],[s58,s8,s6])).
cnf(s61, plain, ~spl21_3 | spl21_1, inference(rat,[],[s60,s23])).
cnf(s62, plain, spl21_1, inference(rat,[],[s61,s59])).
cnf(s63, plain, ~spl21_2, inference(rat,[],[s1,s62])).
cnf(s64, plain, spl21_7, inference(rat,[],[s27,s16,s17,s63])).
cnf(s65, plain, ~spl21_10, inference(rat,[],[s42,s63,s64])).
cnf(s66, plain, spl21_11, inference(rat,[],[s14,s63,s65])).
cnf(s67, plain, spl21_9, inference(rat,[],[s15,s63,s65])).
cnf(s68, plain, $false, inference(rat,[],[s27,s63,s66,s67])).
thf(f1793,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s68])).
% SZS output end Proof for theBenchmark