%----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, sK0: ((a > $o) > $o)).
thf(func_def_4, type, sK1: ((a > $o) > $o)).
thf(func_def_5, type, sK2: ((a > $o) > a)).
thf(func_def_6, type, sK3: (a > a > $o)).
thf(func_def_7, type, sK4: ((a > $o) > a)).
thf(func_def_8, type, sK5: (a > a > $o)).
thf(func_def_9, type, sK6: (a > a > a > $o)).
thf(func_def_10, type, sK7: (a > a > a > $o)).
thf(func_def_11, type, vAND: ($o > $o > $o)).
thf(func_def_12, type, sK8: (a > $o)).
thf(func_def_14, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_15, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(func_def_16, type, sK10: a).
thf(func_def_17, type, sK11: a).
thf(func_def_18, type, sK12: (a > a)).
thf(func_def_19, type, sK13: (a > a)).
thf(func_def_20, type, sK14: a).
thf(func_def_21, type, sK15: a).
thf(func_def_22, type, sK16: (a > a)).
thf(func_def_23, type, sK17: (a > a)).
thf(func_def_24, type, sK18: a).
thf(func_def_25, type, sK19: a).
thf(func_def_26, type, sK20: a).
thf(func_def_27, type, sK21: a).
thf(func_def_28, type, sK22: (a > a)).
thf(func_def_29, type, sK23: (a > a)).
thf(func_def_30, type, sK24: (a > a)).
thf(func_def_31, type, sK25: (a > a)).
thf(func_def_32, type, sK26: a).
thf(func_def_33, type, sK27: (a > a)).
thf(func_def_34, type, sK28: (a > a)).
thf(func_def_35, type, sK29: a).
thf(func_def_36, type, sK30: a).
thf(f1,conjecture,(
  ! [X1 : ((a > $o) > $o),X0 : ((a > $o) > $o)] : (((X0 != X1) & ! [X2 : a] : ? [X6 : (a > $o)] : ((X6 @ X2) & (X0 @ X6) & ! [X4 : (a > $o)] : (((X0 @ X4) & (X4 @ X2)) => (X4 = X6))) & ! [X6 : (a > $o)] : ((X0 @ X6) => ? [X7 : a] : (X6 @ X7)) & ! [X6 : (a > $o)] : ((X1 @ X6) => ? [X7 : a] : (X6 @ X7)) & ! [X2 : a] : ? [X6 : (a > $o)] : ((X1 @ X6) & ! [X4 : (a > $o)] : (((X4 @ X2) & (X1 @ X4)) => (X4 = X6)) & (X6 @ X2))) => ? [X3 : a,X2 : a] : ((! [X4 : (a > $o)] : ((X1 @ X4) => (~(X4 @ X2) | ~(X4 @ X3))) & ? [X5 : (a > $o)] : ((X0 @ X5) & (X5 @ X3) & (X5 @ X2))) | (? [X5 : (a > $o)] : ((X1 @ X5) & (X5 @ X3) & (X5 @ X2)) & ! [X4 : (a > $o)] : ((X0 @ X4) => (~(X4 @ X2) | ~(X4 @ X3))))))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM266_LEMMA_pme)).
thf(f2,negated_conjecture,(
  ~ ! [X1 : ((a > $o) > $o),X0 : ((a > $o) > $o)] : (((X0 != X1) & ! [X2 : a] : ? [X6 : (a > $o)] : ((X6 @ X2) & (X0 @ X6) & ! [X4 : (a > $o)] : (((X0 @ X4) & (X4 @ X2)) => (X4 = X6))) & ! [X6 : (a > $o)] : ((X0 @ X6) => ? [X7 : a] : (X6 @ X7)) & ! [X6 : (a > $o)] : ((X1 @ X6) => ? [X7 : a] : (X6 @ X7)) & ! [X2 : a] : ? [X6 : (a > $o)] : ((X1 @ X6) & ! [X4 : (a > $o)] : (((X4 @ X2) & (X1 @ X4)) => (X4 = X6)) & (X6 @ X2))) => ? [X3 : a,X2 : a] : ((! [X4 : (a > $o)] : ((X1 @ X4) => (~(X4 @ X2) | ~(X4 @ X3))) & ? [X5 : (a > $o)] : ((X0 @ X5) & (X5 @ X3) & (X5 @ X2))) | (? [X5 : (a > $o)] : ((X1 @ X5) & (X5 @ X3) & (X5 @ X2)) & ! [X4 : (a > $o)] : ((X0 @ X4) => (~(X4 @ X2) | ~(X4 @ X3))))))),
  inference(negated_conjecture,[status(cth)],[f1])).
thf(f3,plain,(
  ~ ! [X0 : ((a > $o) > $o),X1 : ((a > $o) > $o)] : (((X0 != X1) & ! [X2 : a] : ? [X3 : (a > $o)] : ((X3 @ X2) & (X1 @ X3) & ! [X4 : (a > $o)] : (((X1 @ X4) & (X4 @ X2)) => (X3 = X4))) & ! [X5 : (a > $o)] : ((X1 @ X5) => ? [X6 : a] : (X5 @ X6)) & ! [X7 : (a > $o)] : ((X0 @ X7) => ? [X8 : a] : (X7 @ X8)) & ! [X9 : a] : ? [X10 : (a > $o)] : ((X0 @ X10) & ! [X11 : (a > $o)] : (((X11 @ X9) & (X0 @ X11)) => (X10 = X11)) & (X10 @ X9))) => ? [X12 : a,X13 : a] : ((! [X14 : (a > $o)] : ((X0 @ X14) => (~(X14 @ X13) | ~(X14 @ X12))) & ? [X15 : (a > $o)] : ((X1 @ X15) & (X15 @ X12) & (X15 @ X13))) | (? [X16 : (a > $o)] : ((X0 @ X16) & (X16 @ X12) & (X16 @ X13)) & ! [X17 : (a > $o)] : ((X1 @ X17) => (~(X17 @ X13) | ~(X17 @ X12))))))),
  inference(rectify,[],[f2])).
thf(f4,plain,(
  ~ ! [X0 : ((a > $o) > $o),X1 : ((a > $o) > $o)] : ((! [X2 : a] : ? [X3 : (a > $o)] : (($true = ((X1 @ X3))) & ! [X4 : (a > $o)] : (((((X4 @ X2)) = $true) & (((X1 @ X4)) = $true)) => (X3 = X4)) & ($true = ((X3 @ X2)))) & ! [X7 : (a > $o)] : (($true = ((X0 @ X7))) => ? [X8 : a] : ($true = ((X7 @ X8)))) & ! [X9 : a] : ? [X10 : (a > $o)] : (! [X11 : (a > $o)] : ((($true = ((X11 @ X9))) & ($true = ((X0 @ X11)))) => (X10 = X11)) & ($true = ((X10 @ X9))) & ($true = ((X0 @ X10)))) & (X0 != X1) & ! [X5 : (a > $o)] : ((((X1 @ X5)) = $true) => ? [X6 : a] : ($true = ((X5 @ X6))))) => ? [X12 : a,X13 : a] : ((! [X14 : (a > $o)] : (($true = ((X0 @ X14))) => (~ ($true = ((X14 @ X13))) | ~ ($true = ((X14 @ X12))))) & ? [X15 : (a > $o)] : (($true = ((X15 @ X13))) & ($true = ((X1 @ X15))) & ($true = ((X15 @ X12))))) | (? [X16 : (a > $o)] : (($true = ((X16 @ X13))) & ($true = ((X16 @ X12))) & ($true = ((X0 @ X16)))) & ! [X17 : (a > $o)] : (($true = ((X1 @ X17))) => (~ ($true = ((X17 @ X13))) | ~ ($true = ((X17 @ X12))))))))),
  inference(fool_elimination,[],[f3])).
thf(f5,plain,(
  ~ ! [X1 : ((a > $o) > $o),X0 : ((a > $o) > $o)] : ((! [X2 : a] : ? [X3 : (a > $o)] : (($true = ((X1 @ X3))) & ! [X4 : (a > $o)] : (((((X4 @ X2)) = $true) & (((X1 @ X4)) = $true)) => (X3 = X4)) & ($true = ((X3 @ X2)))) & ! [X7 : (a > $o)] : (($true = ((X0 @ X7))) => ? [X8 : a] : ($true = ((X7 @ X8)))) & ! [X9 : a] : ? [X10 : (a > $o)] : (! [X11 : (a > $o)] : ((($true = ((X11 @ X9))) & ($true = ((X0 @ X11)))) => (X10 = X11)) & ($true = ((X10 @ X9))) & ($true = ((X0 @ X10)))) & (X0 != X1) & ! [X5 : (a > $o)] : ((((X1 @ X5)) = $true) => ? [X6 : a] : ($true = ((X5 @ X6))))) => ? [X13 : a,X12 : a] : ((! [X17 : (a > $o)] : (($true = ((X1 @ X17))) => (($true != ((X17 @ X12))) | ($true != ((X17 @ X13))))) & ? [X16 : (a > $o)] : (($true = ((X16 @ X13))) & ($true = ((X16 @ X12))) & ($true = ((X0 @ X16))))) | (! [X14 : (a > $o)] : (($true = ((X0 @ X14))) => (($true != ((X14 @ X12))) | ($true != ((X14 @ X13))))) & ? [X15 : (a > $o)] : (($true = ((X15 @ X13))) & ($true = ((X1 @ X15))) & ($true = ((X15 @ X12)))))))),
  inference(flattening,[],[f4])).
thf(f6,plain,(
  ? [X1 : ((a > $o) > $o),X0 : ((a > $o) > $o)] : (! [X13 : a,X12 : a] : ((? [X17 : (a > $o)] : ((($true = ((X17 @ X12))) & ($true = ((X17 @ X13)))) & ($true = ((X1 @ X17)))) | ! [X16 : (a > $o)] : (($true != ((X0 @ X16))) | ($true != ((X16 @ X12))) | ($true != ((X16 @ X13))))) & (? [X14 : (a > $o)] : ((($true = ((X14 @ X12))) & ($true = ((X14 @ X13)))) & ($true = ((X0 @ X14)))) | ! [X15 : (a > $o)] : (($true != ((X1 @ X15))) | ($true != ((X15 @ X12))) | ($true != ((X15 @ X13)))))) & (! [X2 : a] : ? [X3 : (a > $o)] : (($true = ((X1 @ X3))) & ! [X4 : (a > $o)] : ((X3 = X4) | ((((X4 @ X2)) != $true) | (((X1 @ X4)) != $true))) & ($true = ((X3 @ X2)))) & ! [X7 : (a > $o)] : (? [X8 : a] : ($true = ((X7 @ X8))) | ($true != ((X0 @ X7)))) & ! [X9 : a] : ? [X10 : (a > $o)] : (! [X11 : (a > $o)] : ((X10 = X11) | (($true != ((X11 @ X9))) | ($true != ((X0 @ X11))))) & ($true = ((X10 @ X9))) & ($true = ((X0 @ X10)))) & (X0 != X1) & ! [X5 : (a > $o)] : (? [X6 : a] : ($true = ((X5 @ X6))) | (((X1 @ X5)) != $true))))),
  inference(ennf_transformation,[],[f5])).
thf(f7,plain,(
  ? [X1 : ((a > $o) > $o),X0 : ((a > $o) > $o)] : (! [X5 : (a > $o)] : (? [X6 : a] : ($true = ((X5 @ X6))) | (((X1 @ X5)) != $true)) & ! [X2 : a] : ? [X3 : (a > $o)] : (($true = ((X3 @ X2))) & ($true = ((X1 @ X3))) & ! [X4 : (a > $o)] : ((X3 = X4) | (((X4 @ X2)) != $true) | (((X1 @ X4)) != $true))) & ! [X7 : (a > $o)] : (? [X8 : a] : ($true = ((X7 @ X8))) | ($true != ((X0 @ X7)))) & (X0 != X1) & ! [X9 : a] : ? [X10 : (a > $o)] : (! [X11 : (a > $o)] : (($true != ((X0 @ X11))) | ($true != ((X11 @ X9))) | (X10 = X11)) & ($true = ((X0 @ X10))) & ($true = ((X10 @ X9)))) & ! [X12 : a,X13 : a] : ((? [X17 : (a > $o)] : (($true = ((X1 @ X17))) & ($true = ((X17 @ X12))) & ($true = ((X17 @ X13)))) | ! [X16 : (a > $o)] : (($true != ((X0 @ X16))) | ($true != ((X16 @ X12))) | ($true != ((X16 @ X13))))) & (? [X14 : (a > $o)] : (($true = ((X0 @ X14))) & ($true = ((X14 @ X13))) & ($true = ((X14 @ X12)))) | ! [X15 : (a > $o)] : (($true != ((X1 @ X15))) | ($true != ((X15 @ X12))) | ($true != ((X15 @ X13)))))))),
  inference(flattening,[],[f6])).
thf(f8,plain,(
  ? [X0 : ((a > $o) > $o),X1 : ((a > $o) > $o)] : (! [X2 : (a > $o)] : (? [X3 : a] : (((X2 @ X3)) = $true) | ($true != ((X0 @ X2)))) & ! [X4 : a] : ? [X5 : (a > $o)] : (($true = ((X5 @ X4))) & (((X0 @ X5)) = $true) & ! [X6 : (a > $o)] : ((X5 = X6) | (((X6 @ X4)) != $true) | (((X0 @ X6)) != $true))) & ! [X7 : (a > $o)] : (? [X8 : a] : ($true = ((X7 @ X8))) | ($true != ((X1 @ X7)))) & (X0 != X1) & ! [X9 : a] : ? [X10 : (a > $o)] : (! [X11 : (a > $o)] : (($true != ((X1 @ X11))) | ($true != ((X11 @ X9))) | (X10 = X11)) & ($true = ((X1 @ X10))) & ($true = ((X10 @ X9)))) & ! [X12 : a,X13 : a] : ((? [X14 : (a > $o)] : (($true = ((X0 @ X14))) & ($true = ((X14 @ X12))) & ($true = ((X14 @ X13)))) | ! [X15 : (a > $o)] : (($true != ((X1 @ X15))) | ($true != ((X15 @ X12))) | ($true != ((X15 @ X13))))) & (? [X16 : (a > $o)] : (($true = ((X1 @ X16))) & ($true = ((X16 @ X13))) & ($true = ((X16 @ X12)))) | ! [X17 : (a > $o)] : (($true != ((X0 @ X17))) | ($true != ((X17 @ X12))) | ($true != ((X17 @ X13)))))))),
  inference(rectify,[],[f7])).
thf(f9,plain,(
  ! [X2 : (a > $o)] : (($true = ((X2 @ (sK2 @ X2)))) | ($true != ((sK0 @ X2)))) & ! [X4 : a] : (($true = ((sK3 @ X4 @ X4))) & ($true = ((sK0 @ (sK3 @ X4)))) & ! [X6 : (a > $o)] : ((((sK3 @ X4)) = X6) | (((X6 @ X4)) != $true) | ($true != ((sK0 @ X6))))) & ! [X7 : (a > $o)] : (($true = ((X7 @ (sK4 @ X7)))) | ($true != ((sK1 @ X7)))) & (sK0 != sK1) & ! [X9 : a] : (! [X11 : (a > $o)] : (($true != ((sK1 @ X11))) | ($true != ((X11 @ X9))) | (((sK5 @ X9)) = X11)) & (((sK1 @ (sK5 @ X9))) = $true) & ($true = ((sK5 @ X9 @ X9)))) & ! [X12 : a,X13 : a] : ((((((sK0 @ (sK6 @ X13 @ X12))) = $true) & ($true = ((sK6 @ X13 @ X12 @ X12))) & ($true = ((sK6 @ X13 @ X12 @ X13)))) | ! [X15 : (a > $o)] : (($true != ((sK1 @ X15))) | ($true != ((X15 @ X12))) | ($true != ((X15 @ X13))))) & ((($true = ((sK1 @ (sK7 @ X13 @ X12)))) & ($true = ((sK7 @ X13 @ X12 @ X13))) & ($true = ((sK7 @ X13 @ X12 @ X12)))) | ! [X17 : (a > $o)] : (($true != ((sK0 @ X17))) | ($true != ((X17 @ X12))) | ($true != ((X17 @ X13))))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP]),skolemize(X0,$thf(sK0)),skolemize(X1,$thf(sK1)),skolemize(X16,$thf(sK7 @ X13 @ X12)),skolemize(X16,$thf(sK7 @ X13 @ X12)),skolemize(X16,$thf(sK7 @ X13 @ X12)),skolemize(X16,$thf(sK7 @ X13 @ X12)),skolemize(X16,$thf(sK7 @ X13 @ X12)),skolemize(X16,$thf(sK7 @ X13 @ X12))],[f8])).
thf(f10,plain,(
  ( ! [X17 : (a > $o),X12 : a,X13 : a] : (($true != ((sK0 @ X17))) | ($true = ((sK7 @ X13 @ X12 @ X12))) | ($true != ((X17 @ X13))) | ($true != ((X17 @ X12)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f11,plain,(
  ( ! [X17 : (a > $o),X12 : a,X13 : a] : (($true != ((sK0 @ X17))) | ($true != ((X17 @ X13))) | ($true != ((X17 @ X12))) | ($true = ((sK7 @ X13 @ X12 @ X13)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f12,plain,(
  ( ! [X17 : (a > $o),X12 : a,X13 : a] : (($true != ((sK0 @ X17))) | ($true != ((X17 @ X13))) | ($true != ((X17 @ X12))) | ($true = ((sK1 @ (sK7 @ X13 @ X12))))) )),
  inference(cnf_transformation,[],[f9])).
thf(f13,plain,(
  ( ! [X15 : (a > $o),X12 : a,X13 : a] : (($true != ((sK1 @ X15))) | ($true = ((sK6 @ X13 @ X12 @ X13))) | ($true != ((X15 @ X13))) | ($true != ((X15 @ X12)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f14,plain,(
  ( ! [X15 : (a > $o),X12 : a,X13 : a] : (($true != ((sK1 @ X15))) | ($true != ((X15 @ X12))) | ($true != ((X15 @ X13))) | ($true = ((sK6 @ X13 @ X12 @ X12)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f15,plain,(
  ( ! [X15 : (a > $o),X12 : a,X13 : a] : (($true != ((sK1 @ X15))) | ($true != ((X15 @ X13))) | (((sK0 @ (sK6 @ X13 @ X12))) = $true) | ($true != ((X15 @ X12)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f16,plain,(
  ( ! [X9 : a] : (($true = ((sK5 @ X9 @ X9)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f17,plain,(
  ( ! [X9 : a] : ((((sK1 @ (sK5 @ X9))) = $true)) )),
  inference(cnf_transformation,[],[f9])).
thf(f18,plain,(
  ( ! [X11 : (a > $o),X9 : a] : (($true != ((sK1 @ X11))) | (((sK5 @ X9)) = X11) | ($true != ((X11 @ X9)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f19,plain,(
  (sK0 != sK1)),
  inference(cnf_transformation,[],[f9])).
thf(f20,plain,(
  ( ! [X7 : (a > $o)] : (($true = ((X7 @ (sK4 @ X7)))) | ($true != ((sK1 @ X7)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f21,plain,(
  ( ! [X6 : (a > $o),X4 : a] : (($true != ((sK0 @ X6))) | (((X6 @ X4)) != $true) | (((sK3 @ X4)) = X6)) )),
  inference(cnf_transformation,[],[f9])).
thf(f22,plain,(
  ( ! [X4 : a] : (($true = ((sK0 @ (sK3 @ X4))))) )),
  inference(cnf_transformation,[],[f9])).
thf(f23,plain,(
  ( ! [X4 : a] : (($true = ((sK3 @ X4 @ X4)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f24,plain,(
  ( ! [X2 : (a > $o)] : (($true = ((X2 @ (sK2 @ X2)))) | ($true != ((sK0 @ X2)))) )),
  inference(cnf_transformation,[],[f9])).
thf(f27,plain,(
  (((sK0 @ sK8)) != ((sK1 @ sK8)))),
  inference(negative_extensionality,[],[f19])).
thf(f28,plain,(
  ($true = ((sK0 @ sK8))) | ($true = ((sK1 @ sK8)))),
  inference(xor_proxy_clausification,[],[f27])).
thf(f29,plain,(
  (((sK0 @ sK8)) = $false) | (((sK1 @ sK8)) = $false)),
  inference(xor_proxy_clausification,[],[f27])).
thf(f31,definition,(
  spl9_1 <=> (((sK0 @ sK8)) = $false)),
  introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition])).
thf(f33,plain,(
  (((sK0 @ sK8)) = $false) | ~spl9_1),
  inference(avatar_component_clause,[],[f31])).
thf(f35,definition,(
  spl9_2 <=> (((sK1 @ sK8)) = $false)),
  introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition])).
thf(f37,plain,(
  (((sK1 @ sK8)) = $false) | ~spl9_2),
  inference(avatar_component_clause,[],[f35])).
thf(f38,plain,(
  spl9_1 | spl9_2),
  inference(avatar_split_clause,[],[f29,f35,f31])).
thf(f40,definition,(
  spl9_3 <=> ($true = ((sK0 @ sK8)))),
  introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition])).
thf(f41,plain,(
  ($true != ((sK0 @ sK8))) | spl9_3),
  inference(avatar_component_clause,[],[f40])).
thf(f42,plain,(
  ($true = ((sK0 @ sK8))) | ~spl9_3),
  inference(avatar_component_clause,[],[f40])).
thf(f44,definition,(
  spl9_4 <=> ($true = ((sK1 @ sK8)))),
  introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition])).
thf(f45,plain,(
  ($true != ((sK1 @ sK8))) | spl9_4),
  inference(avatar_component_clause,[],[f44])).
thf(f46,plain,(
  ($true = ((sK1 @ sK8))) | ~spl9_4),
  inference(avatar_component_clause,[],[f44])).
thf(f47,plain,(
  spl9_3 | spl9_4),
  inference(avatar_split_clause,[],[f28,f44,f40])).
thf(f67,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | (((sK5 @ X0)) = ((sK5 @ X1))) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(constrained_superposition,[],[f18,f17])).
thf(f68,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) != $true) | (((sK5 @ X0)) = ((sK5 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f67])).
thf(f69,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0))) | (((sK3 @ X0)) = sK8) | ($true != $true)) ) | ~spl9_3),
  inference(constrained_superposition,[],[f21,f42])).
thf(f70,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK3 @ X0)) = ((sK3 @ X1))) | ($true != $true) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(constrained_superposition,[],[f21,f22])).
thf(f71,plain,(
  ( ! [X0 : a] : ((((sK3 @ X0)) = sK8) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(trivial_inequality_removal,[],[f69])).
thf(f72,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X1))) | (((sK3 @ X0)) = ((sK3 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f70])).
thf(f74,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ($true != ((sK3 @ X0 @ X2))) | ($true = ((sK7 @ X1 @ X2 @ X2))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(constrained_superposition,[],[f10,f22])).
thf(f75,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X2))) | ($true != ((sK3 @ X0 @ X1))) | ($true = ((sK7 @ X1 @ X2 @ X2)))) )),
  inference(trivial_inequality_removal,[],[f74])).
thf(f77,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK8 @ X1)) = ((sK3 @ X0 @ X1))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(argument_congruence,[],[f71])).
thf(f79,plain,(
  ( ! [X0 : a,X1 : a] : (($false = ((sK3 @ X0 @ X1))) | ($true = ((sK8 @ X1))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(iff_proxy_clausification,[],[f77])).
thf(f82,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ($true != ((sK3 @ X0 @ X1))) | ($true = ((sK7 @ X1 @ X2 @ X1))) | ($true != ((sK3 @ X0 @ X2)))) )),
  inference(constrained_superposition,[],[f11,f22])).
thf(f84,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X2))) | ($true = ((sK7 @ X1 @ X2 @ X1))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f82])).
thf(f90,plain,(
  ( ! [X0 : a] : (($true = ((sK8 @ (sK2 @ (sK3 @ X0))))) | ($true != ((sK8 @ X0))) | ($true != ((sK0 @ (sK3 @ X0)))) | ($true = $false)) ) | ~spl9_3),
  inference(constrained_superposition,[],[f24,f79])).
thf(f91,plain,(
  ( ! [X0 : a] : (($true != ((sK0 @ (sK3 @ X0)))) | ($true != ((sK8 @ X0))) | ($true = ((sK8 @ (sK2 @ (sK3 @ X0)))))) ) | ~spl9_3),
  inference(trivial_inequality_removal,[],[f90])).
thf(f95,plain,(
  ( ! [X0 : a] : (($true = ((sK8 @ (sK2 @ (sK3 @ X0))))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(forward_subsumption_resolution,[],[f91,f22])).
thf(f98,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | (((sK5 @ X0 @ X1)) != $true) | ($true != ((sK5 @ X0 @ X2))) | ($true = ((sK6 @ X1 @ X2 @ X1)))) )),
  inference(constrained_superposition,[],[f13,f17])).
thf(f99,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK5 @ X0 @ X2))) | ($true = ((sK6 @ X1 @ X2 @ X1))) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(trivial_inequality_removal,[],[f98])).
thf(f100,plain,(
  ( ! [X0 : a] : (($true = ((sK8 @ (sK2 @ sK8)))) | ($true != ((sK8 @ X0))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(constrained_superposition,[],[f95,f71])).
thf(f101,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0))) | ($true = ((sK8 @ (sK2 @ sK8))))) ) | ~spl9_3),
  inference(duplicate_literal_removal,[],[f100])).
thf(f103,definition,(
  spl9_5 <=> ($true = ((sK8 @ (sK2 @ sK8))))),
  introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition])).
thf(f105,plain,(
  ($true = ((sK8 @ (sK2 @ sK8)))) | ~spl9_5),
  inference(avatar_component_clause,[],[f103])).
thf(f107,definition,(
  spl9_6 <=> ! [X0 : a] : ($true != ((sK8 @ X0)))),
  introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition])).
thf(f108,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0)))) ) | ~spl9_6),
  inference(avatar_component_clause,[],[f107])).
thf(f109,plain,(
  spl9_5 | spl9_6 | ~spl9_3),
  inference(avatar_split_clause,[],[f101,f40,f107,f103])).
thf(f111,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK5 @ X0 @ X2))) | (((sK5 @ X0 @ X1)) != $true) | ($true = ((sK6 @ X2 @ X1 @ X1))) | ($true != $true)) )),
  inference(constrained_superposition,[],[f14,f17])).
thf(f112,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) != $true) | ($true != ((sK5 @ X0 @ X2))) | ($true = ((sK6 @ X2 @ X1 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f111])).
thf(f114,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X2))) | ($true = ((sK1 @ (sK7 @ X1 @ X2)))) | ($true != ((sK3 @ X0 @ X1))) | ($true != $true)) )),
  inference(constrained_superposition,[],[f12,f22])).
thf(f115,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X2))) | ($true = ((sK1 @ (sK7 @ X1 @ X2)))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f114])).
thf(f122,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK0 @ (sK6 @ X1 @ X2)))) | ($true != ((sK5 @ X0 @ X2))) | ($true != $true) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(constrained_superposition,[],[f15,f17])).
thf(f123,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK5 @ X0 @ X2))) | (((sK5 @ X0 @ X1)) != $true) | ($true = ((sK0 @ (sK6 @ X1 @ X2))))) )),
  inference(trivial_inequality_removal,[],[f122])).
thf(f124,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = ((sK5 @ (sK4 @ (sK5 @ X0))))) | ($true != $true) | ($true != ((sK1 @ (sK5 @ X0))))) )),
  inference(constrained_superposition,[],[f68,f20])).
thf(f127,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = ((sK5 @ (sK4 @ (sK5 @ X0))))) | ($true != ((sK1 @ (sK5 @ X0))))) )),
  inference(trivial_inequality_removal,[],[f124])).
thf(f128,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = ((sK5 @ (sK4 @ (sK5 @ X0)))))) )),
  inference(forward_subsumption_resolution,[],[f127,f17])).
thf(f132,plain,(
  ( ! [X0 : a] : ((((sK3 @ (sK2 @ (sK3 @ X0)))) = ((sK3 @ X0))) | ($true != $true) | ($true != ((sK0 @ (sK3 @ X0))))) )),
  inference(constrained_superposition,[],[f72,f24])).
thf(f135,plain,(
  ( ! [X0 : a] : ((((sK3 @ (sK2 @ (sK3 @ X0)))) = ((sK3 @ X0))) | ($true != ((sK0 @ (sK3 @ X0))))) )),
  inference(trivial_inequality_removal,[],[f132])).
thf(f136,plain,(
  ( ! [X0 : a] : ((((sK3 @ (sK2 @ (sK3 @ X0)))) = ((sK3 @ X0)))) )),
  inference(forward_subsumption_resolution,[],[f135,f22])).
thf(f137,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) = ((sK5 @ (sK4 @ (sK5 @ X0)) @ X1)))) )),
  inference(argument_congruence,[],[f128])).
thf(f140,plain,(
  ( ! [X0 : a,X1 : a] : (($false = ((sK5 @ (sK4 @ (sK5 @ X0)) @ X1))) | (((sK5 @ X0 @ X1)) = $true)) )),
  inference(iff_proxy_clausification,[],[f137])).
thf(f141,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK5 @ (sK4 @ (sK5 @ X0)) @ X1))) | (((sK5 @ X0 @ X1)) = $false)) )),
  inference(iff_proxy_clausification,[],[f137])).
thf(f142,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X1))) | ($true != $true) | ($true = ((sK7 @ X1 @ X0 @ X0)))) )),
  inference(constrained_superposition,[],[f75,f23])).
thf(f149,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK7 @ X1 @ X0 @ X0))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f142])).
thf(f153,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0))) | (((sK3 @ (sK2 @ sK8))) = sK8)) ) | ~spl9_3),
  inference(constrained_superposition,[],[f136,f71])).
thf(f162,definition,(
  spl9_7 <=> (((sK3 @ (sK2 @ sK8))) = sK8)),
  introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition])).
thf(f164,plain,(
  (((sK3 @ (sK2 @ sK8))) = sK8) | ~spl9_7),
  inference(avatar_component_clause,[],[f162])).
thf(f165,plain,(
  spl9_7 | spl9_6 | ~spl9_3),
  inference(avatar_split_clause,[],[f153,f40,f107,f162])).
thf(f166,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X0 @ X1))) | ($true != $true) | ($true = ((sK7 @ X1 @ X0 @ X1)))) )),
  inference(constrained_superposition,[],[f84,f23])).
thf(f174,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK7 @ X1 @ X0 @ X1))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f166])).
thf(f177,plain,(
  ($true != $true) | ($true != ((sK0 @ sK8))) | ~spl9_6),
  inference(constrained_superposition,[],[f108,f24])).
thf(f184,plain,(
  ($true != ((sK0 @ sK8))) | ~spl9_6),
  inference(trivial_inequality_removal,[],[f177])).
thf(f186,plain,(
  $false | (~spl9_3 | ~spl9_6)),
  inference(forward_subsumption_resolution,[],[f184,f42])).
thf(f187,plain,(
  ~spl9_3 | ~spl9_6),
  inference(avatar_contradiction_clause,[],[f186])).
thf(f188,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | (((sK6 @ X1 @ X0 @ X1)) = $true) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(constrained_superposition,[],[f99,f16])).
thf(f193,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK6 @ X1 @ X0 @ X1)) = $true) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(trivial_inequality_removal,[],[f188])).
thf(f201,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | (((sK5 @ X0 @ X1)) != $true) | (((sK6 @ X1 @ X0 @ X0)) = $true)) )),
  inference(constrained_superposition,[],[f112,f16])).
thf(f204,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK6 @ X1 @ X0 @ X0)) = $true) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(trivial_inequality_removal,[],[f201])).
thf(f217,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK1 @ (sK7 @ X1 @ X0)))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(constrained_superposition,[],[f115,f23])).
thf(f225,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK1 @ (sK7 @ X1 @ X0)))) | ($true != ((sK3 @ X0 @ X1)))) )),
  inference(trivial_inequality_removal,[],[f217])).
thf(f237,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK0 @ (sK6 @ X1 @ X0)))) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(constrained_superposition,[],[f123,f16])).
thf(f241,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK0 @ (sK6 @ X1 @ X0)))) | (((sK5 @ X0 @ X1)) != $true)) )),
  inference(trivial_inequality_removal,[],[f237])).
thf(f321,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | (((sK7 @ X0 @ X1)) = ((sK5 @ X2))) | ($true != ((sK3 @ X1 @ X0))) | ($true != ((sK7 @ X0 @ X1 @ X2)))) )),
  inference(constrained_superposition,[],[f18,f225])).
thf(f323,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK7 @ X0 @ X1 @ X2))) | (((sK7 @ X0 @ X1)) = ((sK5 @ X2))) | ($true != ((sK3 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f321])).
thf(f340,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK6 @ X0 @ X1 @ X2))) | ($true != $true) | (((sK6 @ X0 @ X1)) = ((sK3 @ X2))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(constrained_superposition,[],[f21,f241])).
thf(f342,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK6 @ X0 @ X1 @ X2))) | (((sK6 @ X0 @ X1)) = ((sK3 @ X2))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f340])).
thf(f397,plain,(
  ($true = $false) | (~spl9_2 | ~spl9_4)),
  inference(forward_demodulation,[],[f46,f37])).
thf(f398,plain,(
  $false | (~spl9_2 | ~spl9_4)),
  inference(trivial_inequality_removal,[],[f397])).
thf(f399,plain,(
  ~spl9_2 | ~spl9_4),
  inference(avatar_contradiction_clause,[],[f398])).
thf(f496,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = sK8) | ($true != $true) | ($true != ((sK8 @ X0)))) ) | ~spl9_4),
  inference(constrained_superposition,[],[f18,f46])).
thf(f498,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = sK8) | ($true != ((sK8 @ X0)))) ) | ~spl9_4),
  inference(trivial_inequality_removal,[],[f496])).
thf(f557,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0))) | (((sK5 @ (sK4 @ sK8))) = sK8)) ) | ~spl9_4),
  inference(constrained_superposition,[],[f128,f498])).
thf(f564,definition,(
  spl9_15 <=> (((sK5 @ (sK4 @ sK8))) = sK8)),
  introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition])).
thf(f566,plain,(
  (((sK5 @ (sK4 @ sK8))) = sK8) | ~spl9_15),
  inference(avatar_component_clause,[],[f564])).
thf(f567,plain,(
  spl9_15 | spl9_6 | ~spl9_4),
  inference(avatar_split_clause,[],[f557,f44,f107,f564])).
thf(f578,plain,(
  ($true != $true) | ($true != ((sK1 @ sK8))) | ~spl9_6),
  inference(constrained_superposition,[],[f108,f20])).
thf(f581,plain,(
  ($true != ((sK1 @ sK8))) | ~spl9_6),
  inference(trivial_inequality_removal,[],[f578])).
thf(f583,plain,(
  $false | (~spl9_4 | ~spl9_6)),
  inference(forward_subsumption_resolution,[],[f581,f46])).
thf(f584,plain,(
  ~spl9_4 | ~spl9_6),
  inference(avatar_contradiction_clause,[],[f583])).
thf(f592,plain,(
  ( ! [X1 : a] : ((((sK5 @ (sK4 @ sK8) @ X1)) = ((sK8 @ X1)))) ) | ~spl9_15),
  inference(argument_congruence,[],[f566])).
thf(f599,plain,(
  ( ! [X1 : a] : ((((sK5 @ (sK4 @ sK8) @ X1)) = $true) | (((sK8 @ X1)) = $false)) ) | ~spl9_15),
  inference(iff_proxy_clausification,[],[f592])).
thf(f600,plain,(
  ( ! [X1 : a] : ((((sK5 @ (sK4 @ sK8) @ X1)) = $false) | ($true = ((sK8 @ X1)))) ) | ~spl9_15),
  inference(iff_proxy_clausification,[],[f592])).
thf(f764,plain,(
  ( ! [X0 : a] : ((((sK8 @ X0)) = $false) | (((sK5 @ X0)) = ((sK5 @ (sK4 @ sK8)))) | ($true != $true)) ) | ~spl9_15),
  inference(constrained_superposition,[],[f68,f599])).
thf(f766,plain,(
  ( ! [X0 : a] : ((((sK8 @ X0)) = $false) | (((sK5 @ X0)) = ((sK5 @ (sK4 @ sK8))))) ) | ~spl9_15),
  inference(trivial_inequality_removal,[],[f764])).
thf(f769,plain,(
  ( ! [X0 : a] : ((((sK5 @ X0)) = sK8) | (((sK8 @ X0)) = $false)) ) | ~spl9_15),
  inference(forward_demodulation,[],[f766,f566])).
thf(f796,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK8 @ X0)) = $false) | (((sK5 @ X0 @ X1)) = ((sK8 @ X1)))) ) | ~spl9_15),
  inference(argument_congruence,[],[f769])).
thf(f809,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) = $true) | (((sK8 @ X1)) = $false) | (((sK8 @ X0)) = $false)) ) | ~spl9_15),
  inference(iff_proxy_clausification,[],[f796])).
thf(f814,plain,(
  ($true = $false) | ($true = ((sK8 @ (sK4 @ sK8)))) | ~spl9_15),
  inference(constrained_superposition,[],[f600,f16])).
thf(f842,plain,(
  ($true = ((sK8 @ (sK4 @ sK8)))) | ~spl9_15),
  inference(trivial_inequality_removal,[],[f814])).
thf(f928,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | (((sK7 @ X0 @ X1)) = ((sK5 @ X1))) | ($true != $true) | ($true != ((sK3 @ X1 @ X0)))) )),
  inference(constrained_superposition,[],[f323,f149])).
thf(f929,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | ($true != ((sK3 @ X1 @ X0))) | ($true != $true) | (((sK7 @ X0 @ X1)) = ((sK5 @ X0)))) )),
  inference(constrained_superposition,[],[f323,f174])).
thf(f936,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | (((sK7 @ X0 @ X1)) = ((sK5 @ X0))) | ($true != $true)) )),
  inference(duplicate_literal_removal,[],[f929])).
thf(f937,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK7 @ X0 @ X1)) = ((sK5 @ X0))) | ($true != ((sK3 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f936])).
thf(f939,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | (((sK7 @ X0 @ X1)) = ((sK5 @ X1))) | ($true != $true)) )),
  inference(duplicate_literal_removal,[],[f928])).
thf(f940,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK7 @ X0 @ X1)) = ((sK5 @ X1))) | ($true != ((sK3 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f939])).
thf(f968,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK5 @ X1 @ X0))) | (((sK3 @ X0)) = ((sK6 @ X0 @ X1))) | ($true != ((sK5 @ X1 @ X0))) | ($true != $true)) )),
  inference(constrained_superposition,[],[f342,f193])).
thf(f970,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK6 @ X0 @ X1)) = ((sK3 @ X1))) | ($true != ((sK5 @ X1 @ X0))) | ($true != ((sK5 @ X1 @ X0))) | ($true != $true)) )),
  inference(constrained_superposition,[],[f342,f204])).
thf(f977,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK6 @ X0 @ X1)) = ((sK3 @ X1))) | ($true != ((sK5 @ X1 @ X0))) | ($true != $true)) )),
  inference(duplicate_literal_removal,[],[f970])).
thf(f978,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK6 @ X0 @ X1)) = ((sK3 @ X1))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f977])).
thf(f986,plain,(
  ( ! [X0 : a,X1 : a] : (($true != $true) | (((sK3 @ X0)) = ((sK6 @ X0 @ X1))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(duplicate_literal_removal,[],[f968])).
thf(f987,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK3 @ X0)) = ((sK6 @ X0 @ X1))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f986])).
thf(f1733,plain,(
  ( ! [X0 : a] : (($true = $false) | ($true = ((sK5 @ X0 @ (sK4 @ (sK5 @ X0)))))) )),
  inference(constrained_superposition,[],[f16,f140])).
thf(f1751,plain,(
  ( ! [X0 : a] : (($true = ((sK5 @ X0 @ (sK4 @ (sK5 @ X0)))))) )),
  inference(trivial_inequality_removal,[],[f1733])).
thf(f3452,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | ($true != ((sK3 @ X1 @ X0))) | (((sK5 @ X0)) = ((sK5 @ X1)))) )),
  inference(constrained_superposition,[],[f940,f937])).
thf(f3457,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK3 @ X1 @ X0))) | (((sK5 @ X0)) = ((sK5 @ X1)))) )),
  inference(duplicate_literal_removal,[],[f3452])).
thf(f4071,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK5 @ X1 @ X0))) | (((sK3 @ X0)) = ((sK3 @ X1))) | ($true != ((sK5 @ X1 @ X0)))) )),
  inference(constrained_superposition,[],[f978,f987])).
thf(f4079,plain,(
  ( ! [X0 : a,X1 : a] : (($true != ((sK5 @ X1 @ X0))) | (((sK3 @ X0)) = ((sK3 @ X1)))) )),
  inference(duplicate_literal_removal,[],[f4071])).
thf(f4167,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK3 @ X0)) = ((sK3 @ X1))) | ($true != $true) | (((sK8 @ X1)) = $false) | (((sK8 @ X0)) = $false)) ) | ~spl9_15),
  inference(constrained_superposition,[],[f4079,f809])).
thf(f4184,plain,(
  ( ! [X0 : a] : (($true != $true) | (((sK3 @ X0)) = ((sK3 @ (sK4 @ (sK5 @ X0)))))) )),
  inference(constrained_superposition,[],[f4079,f1751])).
thf(f4187,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) = $false) | ($true != $true) | (((sK3 @ (sK4 @ (sK5 @ X0)))) = ((sK3 @ X1)))) )),
  inference(constrained_superposition,[],[f4079,f141])).
thf(f4196,plain,(
  ( ! [X0 : a] : ((((sK3 @ X0)) = ((sK3 @ (sK4 @ (sK5 @ X0)))))) )),
  inference(trivial_inequality_removal,[],[f4184])).
thf(f4199,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK3 @ (sK4 @ (sK5 @ X0)))) = ((sK3 @ X1))) | (((sK5 @ X0 @ X1)) = $false)) )),
  inference(trivial_inequality_removal,[],[f4187])).
thf(f4207,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK3 @ X0)) = ((sK3 @ X1))) | (((sK8 @ X0)) = $false) | (((sK8 @ X1)) = $false)) ) | ~spl9_15),
  inference(trivial_inequality_removal,[],[f4167])).
thf(f4211,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0 @ X1)) = $false) | (((sK3 @ X0)) = ((sK3 @ X1)))) )),
  inference(forward_demodulation,[],[f4199,f4196])).
thf(f5076,definition,(
  spl9_50 <=> (((sK3 @ (sK4 @ sK8))) = sK8)),
  introduced(definition,[new_symbols(definition,[spl9_50])],[avatar_definition])).
thf(f5077,plain,(
  (((sK3 @ (sK4 @ sK8))) = sK8) | ~spl9_50),
  inference(avatar_component_clause,[],[f5076])).
thf(f5078,plain,(
  (((sK3 @ (sK4 @ sK8))) != sK8) | spl9_50),
  inference(avatar_component_clause,[],[f5076])).
thf(f5462,plain,(
  ($true = ((sK0 @ sK8))) | ~spl9_50),
  inference(constrained_superposition,[],[f22,f5077])).
thf(f5503,plain,(
  $false | (spl9_3 | ~spl9_50)),
  inference(forward_subsumption_resolution,[],[f5462,f41])).
thf(f5504,plain,(
  spl9_3 | ~spl9_50),
  inference(avatar_contradiction_clause,[],[f5503])).
thf(f5742,plain,(
  (((sK8 @ sK15)) != ((sK3 @ (sK4 @ sK8) @ sK15))) | spl9_50),
  inference(negative_extensionality,[],[f5078])).
thf(f5748,plain,(
  ($true = ((sK3 @ (sK4 @ sK8) @ sK15))) | ($true = ((sK8 @ sK15))) | spl9_50),
  inference(xor_proxy_clausification,[],[f5742])).
thf(f5749,plain,(
  (((sK3 @ (sK4 @ sK8) @ sK15)) = $false) | (((sK8 @ sK15)) = $false) | spl9_50),
  inference(xor_proxy_clausification,[],[f5742])).
thf(f5751,definition,(
  spl9_61 <=> (((sK8 @ sK15)) = $false)),
  introduced(definition,[new_symbols(definition,[spl9_61])],[avatar_definition])).
thf(f5752,plain,(
  (((sK8 @ sK15)) != $false) | spl9_61),
  inference(avatar_component_clause,[],[f5751])).
thf(f5753,plain,(
  (((sK8 @ sK15)) = $false) | ~spl9_61),
  inference(avatar_component_clause,[],[f5751])).
thf(f5755,definition,(
  spl9_62 <=> (((sK3 @ (sK4 @ sK8) @ sK15)) = $false)),
  introduced(definition,[new_symbols(definition,[spl9_62])],[avatar_definition])).
thf(f5757,plain,(
  (((sK3 @ (sK4 @ sK8) @ sK15)) = $false) | ~spl9_62),
  inference(avatar_component_clause,[],[f5755])).
thf(f5758,plain,(
  spl9_61 | spl9_62 | spl9_50),
  inference(avatar_split_clause,[],[f5749,f5076,f5755,f5751])).
thf(f5760,definition,(
  spl9_63 <=> ($true = ((sK8 @ sK15)))),
  introduced(definition,[new_symbols(definition,[spl9_63])],[avatar_definition])).
thf(f5761,plain,(
  ($true != ((sK8 @ sK15))) | spl9_63),
  inference(avatar_component_clause,[],[f5760])).
thf(f5762,plain,(
  ($true = ((sK8 @ sK15))) | ~spl9_63),
  inference(avatar_component_clause,[],[f5760])).
thf(f5764,definition,(
  spl9_64 <=> ($true = ((sK3 @ (sK4 @ sK8) @ sK15)))),
  introduced(definition,[new_symbols(definition,[spl9_64])],[avatar_definition])).
thf(f5766,plain,(
  ($true = ((sK3 @ (sK4 @ sK8) @ sK15))) | ~spl9_64),
  inference(avatar_component_clause,[],[f5764])).
thf(f5767,plain,(
  spl9_63 | spl9_64 | spl9_50),
  inference(avatar_split_clause,[],[f5748,f5076,f5764,f5760])).
thf(f5770,plain,(
  ($true = $false) | (~spl9_61 | ~spl9_63)),
  inference(forward_demodulation,[],[f5753,f5762])).
thf(f5771,plain,(
  $false | (~spl9_61 | ~spl9_63)),
  inference(trivial_inequality_removal,[],[f5770])).
thf(f5772,plain,(
  ~spl9_61 | ~spl9_63),
  inference(avatar_contradiction_clause,[],[f5771])).
thf(f6862,plain,(
  ($true != $true) | (((sK5 @ sK15)) = ((sK5 @ (sK4 @ sK8)))) | ~spl9_64),
  inference(constrained_superposition,[],[f3457,f5766])).
thf(f6865,plain,(
  (((sK5 @ sK15)) = ((sK5 @ (sK4 @ sK8)))) | ~spl9_64),
  inference(trivial_inequality_removal,[],[f6862])).
thf(f6873,plain,(
  (((sK5 @ sK15)) = sK8) | (~spl9_15 | ~spl9_64)),
  inference(forward_demodulation,[],[f6865,f566])).
thf(f6884,plain,(
  ( ! [X1 : a] : ((((sK8 @ X1)) = ((sK5 @ sK15 @ X1)))) ) | (~spl9_15 | ~spl9_64)),
  inference(argument_congruence,[],[f6873])).
thf(f6942,plain,(
  ( ! [X1 : a] : ((((sK5 @ sK15 @ X1)) = $false) | ($true = ((sK8 @ X1)))) ) | (~spl9_15 | ~spl9_64)),
  inference(iff_proxy_clausification,[],[f6884])).
thf(f7225,plain,(
  ($true = $false) | ($true = ((sK8 @ sK15))) | (~spl9_15 | ~spl9_64)),
  inference(constrained_superposition,[],[f16,f6942])).
thf(f7274,plain,(
  ($true = ((sK8 @ sK15))) | (~spl9_15 | ~spl9_64)),
  inference(trivial_inequality_removal,[],[f7225])).
thf(f7283,plain,(
  $false | (~spl9_15 | spl9_63 | ~spl9_64)),
  inference(forward_subsumption_resolution,[],[f7274,f5761])).
thf(f7284,plain,(
  ~spl9_15 | spl9_63 | ~spl9_64),
  inference(avatar_contradiction_clause,[],[f7283])).
thf(f9516,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sK8 @ X1)) = $false) | (((sK8 @ X0)) = $false) | (((sK3 @ X1 @ X2)) = ((sK3 @ X0 @ X2)))) ) | ~spl9_15),
  inference(argument_congruence,[],[f4207])).
thf(f9668,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($false = ((sK3 @ X1 @ X2))) | ($true = ((sK3 @ X0 @ X2))) | (((sK8 @ X1)) = $false) | (((sK8 @ X0)) = $false)) ) | ~spl9_15),
  inference(iff_proxy_clausification,[],[f9516])).
thf(f9768,plain,(
  ( ! [X0 : a] : (($true = $false) | (((sK8 @ (sK4 @ sK8))) = $false) | ($false = ((sK3 @ X0 @ sK15))) | (((sK8 @ X0)) = $false)) ) | (~spl9_15 | ~spl9_62)),
  inference(constrained_superposition,[],[f5757,f9668])).
thf(f9811,plain,(
  ( ! [X0 : a] : ((((sK8 @ X0)) = $false) | (((sK8 @ (sK4 @ sK8))) = $false) | ($false = ((sK3 @ X0 @ sK15)))) ) | (~spl9_15 | ~spl9_62)),
  inference(trivial_inequality_removal,[],[f9768])).
thf(f9822,plain,(
  ( ! [X0 : a] : (($true = $false) | (((sK8 @ X0)) = $false) | ($false = ((sK3 @ X0 @ sK15)))) ) | (~spl9_15 | ~spl9_62)),
  inference(forward_demodulation,[],[f9811,f842])).
thf(f9823,plain,(
  ( ! [X0 : a] : (($false = ((sK3 @ X0 @ sK15))) | (((sK8 @ X0)) = $false)) ) | (~spl9_15 | ~spl9_62)),
  inference(trivial_inequality_removal,[],[f9822])).
thf(f11800,plain,(
  ($true = $false) | (((sK8 @ sK15)) = $false) | (~spl9_15 | ~spl9_62)),
  inference(constrained_superposition,[],[f9823,f23])).
thf(f11824,plain,(
  (((sK8 @ sK15)) = $false) | (~spl9_15 | ~spl9_62)),
  inference(trivial_inequality_removal,[],[f11800])).
thf(f11829,plain,(
  $false | (~spl9_15 | spl9_61 | ~spl9_62)),
  inference(forward_subsumption_resolution,[],[f11824,f5752])).
thf(f11830,plain,(
  ~spl9_15 | spl9_61 | ~spl9_62),
  inference(avatar_contradiction_clause,[],[f11829])).
thf(f11858,plain,(
  ($true = $false) | (~spl9_1 | ~spl9_3)),
  inference(forward_demodulation,[],[f42,f33])).
thf(f11859,plain,(
  $false | (~spl9_1 | ~spl9_3)),
  inference(trivial_inequality_removal,[],[f11858])).
thf(f11860,plain,(
  ~spl9_1 | ~spl9_3),
  inference(avatar_contradiction_clause,[],[f11859])).
thf(f12083,plain,(
  ( ! [X0 : a] : (($true != ((sK8 @ X0))) | ($true != $true) | (((sK3 @ X0)) = sK8)) ) | ~spl9_3),
  inference(constrained_superposition,[],[f21,f42])).
thf(f12084,plain,(
  ( ! [X0 : a] : ((((sK3 @ X0)) = sK8) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(trivial_inequality_removal,[],[f12083])).
thf(f12261,definition,(
  spl9_141 <=> ! [X0 : a,X1 : a] : ((((sK5 @ X0)) = ((sK5 @ X1))) | (((sK8 @ X0)) = $false) | (((sK8 @ X1)) = $false))),
  introduced(definition,[new_symbols(definition,[spl9_141])],[avatar_definition])).
thf(f12262,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0)) = ((sK5 @ X1))) | (((sK8 @ X0)) = $false) | (((sK8 @ X1)) = $false)) ) | ~spl9_141),
  inference(avatar_component_clause,[],[f12261])).
thf(f12270,definition,(
  spl9_143 <=> ! [X0 : a,X1 : a] : ((((sK8 @ X1)) = $false) | ($true != ((sK8 @ X0))) | (((sK5 @ X0)) = ((sK5 @ X1))))),
  introduced(definition,[new_symbols(definition,[spl9_143])],[avatar_definition])).
thf(f12271,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0)) = ((sK5 @ X1))) | ($true != ((sK8 @ X0))) | (((sK8 @ X1)) = $false)) ) | ~spl9_143),
  inference(avatar_component_clause,[],[f12270])).
thf(f12279,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK8 @ X1)) = ((sK3 @ X0 @ X1))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(argument_congruence,[],[f12084])).
thf(f12329,plain,(
  ( ! [X0 : a,X1 : a] : (($true = ((sK3 @ X0 @ X1))) | ($true != ((sK8 @ X0))) | (((sK8 @ X1)) = $false)) ) | ~spl9_3),
  inference(iff_proxy_clausification,[],[f12279])).
thf(f13825,definition,(
  spl9_173 <=> (((sK5 @ (sK2 @ sK8))) = sK8)),
  introduced(definition,[new_symbols(definition,[spl9_173])],[avatar_definition])).
thf(f13826,plain,(
  (((sK5 @ (sK2 @ sK8))) != sK8) | spl9_173),
  inference(avatar_component_clause,[],[f13825])).
thf(f13827,plain,(
  (((sK5 @ (sK2 @ sK8))) = sK8) | ~spl9_173),
  inference(avatar_component_clause,[],[f13825])).
thf(f20898,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK5 @ X0)) = ((sK5 @ X1))) | ($true != $true) | (((sK8 @ X1)) = $false) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(constrained_superposition,[],[f3457,f12329])).
thf(f20917,plain,(
  ( ! [X0 : a,X1 : a] : ((((sK8 @ X1)) = $false) | (((sK5 @ X0)) = ((sK5 @ X1))) | ($true != ((sK8 @ X0)))) ) | ~spl9_3),
  inference(trivial_inequality_removal,[],[f20898])).
thf(f20940,plain,(
  spl9_143 | ~spl9_3),
  inference(avatar_split_clause,[],[f20917,f40,f12270])).
thf(f31272,plain,(
  ($true = ((sK1 @ sK8))) | ~spl9_173),
  inference(constrained_superposition,[],[f17,f13827])).
thf(f31338,plain,(
  $false | (spl9_4 | ~spl9_173)),
  inference(forward_subsumption_resolution,[],[f31272,f45])).
thf(f31339,plain,(
  spl9_4 | ~spl9_173),
  inference(avatar_contradiction_clause,[],[f31338])).
thf(f31541,plain,(
  (((sK5 @ (sK2 @ sK8) @ sK26)) != ((sK8 @ sK26))) | spl9_173),
  inference(negative_extensionality,[],[f13826])).
thf(f31546,plain,(
  ($true = ((sK5 @ (sK2 @ sK8) @ sK26))) | ($true = ((sK8 @ sK26))) | spl9_173),
  inference(xor_proxy_clausification,[],[f31541])).
thf(f31547,plain,(
  ($false = ((sK5 @ (sK2 @ sK8) @ sK26))) | ($false = ((sK8 @ sK26))) | spl9_173),
  inference(xor_proxy_clausification,[],[f31541])).
thf(f31549,definition,(
  spl9_290 <=> ($false = ((sK5 @ (sK2 @ sK8) @ sK26)))),
  introduced(definition,[new_symbols(definition,[spl9_290])],[avatar_definition])).
thf(f31550,plain,(
  ($false != ((sK5 @ (sK2 @ sK8) @ sK26))) | spl9_290),
  inference(avatar_component_clause,[],[f31549])).
thf(f31551,plain,(
  ($false = ((sK5 @ (sK2 @ sK8) @ sK26))) | ~spl9_290),
  inference(avatar_component_clause,[],[f31549])).
thf(f31553,definition,(
  spl9_291 <=> ($false = ((sK8 @ sK26)))),
  introduced(definition,[new_symbols(definition,[spl9_291])],[avatar_definition])).
thf(f31555,plain,(
  ($false = ((sK8 @ sK26))) | ~spl9_291),
  inference(avatar_component_clause,[],[f31553])).
thf(f31556,plain,(
  spl9_290 | spl9_291 | spl9_173),
  inference(avatar_split_clause,[],[f31547,f13825,f31553,f31549])).
thf(f31558,definition,(
  spl9_292 <=> ($true = ((sK8 @ sK26)))),
  introduced(definition,[new_symbols(definition,[spl9_292])],[avatar_definition])).
thf(f31560,plain,(
  ($true = ((sK8 @ sK26))) | ~spl9_292),
  inference(avatar_component_clause,[],[f31558])).
thf(f31562,definition,(
  spl9_293 <=> ($true = ((sK5 @ (sK2 @ sK8) @ sK26)))),
  introduced(definition,[new_symbols(definition,[spl9_293])],[avatar_definition])).
thf(f31564,plain,(
  ($true = ((sK5 @ (sK2 @ sK8) @ sK26))) | ~spl9_293),
  inference(avatar_component_clause,[],[f31562])).
thf(f31565,plain,(
  spl9_292 | spl9_293 | spl9_173),
  inference(avatar_split_clause,[],[f31546,f13825,f31562,f31558])).
thf(f31566,plain,(
  ($true = $false) | (~spl9_290 | ~spl9_293)),
  inference(forward_demodulation,[],[f31551,f31564])).
thf(f31567,plain,(
  $false | (~spl9_290 | ~spl9_293)),
  inference(trivial_inequality_removal,[],[f31566])).
thf(f31568,plain,(
  ~spl9_290 | ~spl9_293),
  inference(avatar_contradiction_clause,[],[f31567])).
thf(f33359,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sK5 @ X1 @ X2)) = ((sK5 @ X0 @ X2))) | (((sK8 @ X0)) = $false) | (((sK8 @ X1)) = $false)) ) | ~spl9_141),
  inference(argument_congruence,[],[f12262])).
thf(f33605,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK5 @ X0 @ X2))) | (((sK5 @ X1 @ X2)) = $false) | (((sK8 @ X0)) = $false) | (((sK8 @ X1)) = $false)) ) | ~spl9_141),
  inference(iff_proxy_clausification,[],[f33359])).
thf(f33775,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK8 @ X1))) | (((sK8 @ X2)) = $false) | (((sK8 @ X0)) = $false) | ($true != ((sK8 @ X1))) | (((sK5 @ X0)) = ((sK5 @ X2)))) ) | ~spl9_143),
  inference(constrained_superposition,[],[f12271,f12271])).
thf(f34043,plain,(
  ( ! [X2 : a,X0 : a,X1 : a] : ((((sK8 @ X0)) = $false) | ($true != ((sK8 @ X1))) | (((sK8 @ X2)) = $false) | (((sK5 @ X0)) = ((sK5 @ X2)))) ) | ~spl9_143),
  inference(duplicate_literal_removal,[],[f33775])).
thf(f35282,plain,(
  ( ! [X0 : a] : (($true = $false) | (((sK8 @ X0)) = $false) | (((sK8 @ (sK2 @ sK8))) = $false) | ($false = ((sK5 @ X0 @ sK26)))) ) | (~spl9_141 | ~spl9_290)),
  inference(constrained_superposition,[],[f31551,f33605])).
thf(f35409,plain,(
  ( ! [X0 : a] : ((((sK8 @ (sK2 @ sK8))) = $false) | (((sK8 @ X0)) = $false) | ($false = ((sK5 @ X0 @ sK26)))) ) | (~spl9_141 | ~spl9_290)),
  inference(trivial_inequality_removal,[],[f35282])).
thf(f35464,plain,(
  ( ! [X0 : a] : (($true = $false) | (((sK8 @ X0)) = $false) | ($false = ((sK5 @ X0 @ sK26)))) ) | (~spl9_5 | ~spl9_141 | ~spl9_290)),
  inference(forward_demodulation,[],[f35409,f105])).
thf(f35471,plain,(
  spl9_6 | spl9_141 | ~spl9_143),
  inference(avatar_split_clause,[],[f34043,f12270,f12261,f107])).
thf(f35481,plain,(
  ( ! [X0 : a] : (($false = ((sK5 @ X0 @ sK26))) | (((sK8 @ X0)) = $false)) ) | (~spl9_5 | ~spl9_141 | ~spl9_290)),
  inference(trivial_inequality_removal,[],[f35464])).
thf(f35627,plain,(
  ($false = ((sK8 @ sK26))) | ($true = $false) | (~spl9_5 | ~spl9_141 | ~spl9_290)),
  inference(constrained_superposition,[],[f35481,f16])).
thf(f35645,plain,(
  ($false = ((sK8 @ sK26))) | (~spl9_5 | ~spl9_141 | ~spl9_290)),
  inference(trivial_inequality_removal,[],[f35627])).
thf(f35656,plain,(
  ($true = $false) | (~spl9_5 | ~spl9_141 | ~spl9_290 | ~spl9_292)),
  inference(forward_demodulation,[],[f35645,f31560])).
thf(f35657,plain,(
  $false | (~spl9_5 | ~spl9_141 | ~spl9_290 | ~spl9_292)),
  inference(trivial_inequality_removal,[],[f35656])).
thf(f35658,plain,(
  ~spl9_5 | ~spl9_141 | ~spl9_290 | ~spl9_292),
  inference(avatar_contradiction_clause,[],[f35657])).
thf(f35858,plain,(
  (((sK3 @ (sK2 @ sK8))) = ((sK3 @ sK26))) | ($false != $false) | spl9_290),
  inference(constrained_superposition,[],[f31550,f4211])).
thf(f35887,plain,(
  (((sK3 @ (sK2 @ sK8))) = ((sK3 @ sK26))) | spl9_290),
  inference(trivial_inequality_removal,[],[f35858])).
thf(f35936,plain,(
  (sK8 = ((sK3 @ sK26))) | (~spl9_7 | spl9_290)),
  inference(forward_demodulation,[],[f35887,f164])).
thf(f36878,plain,(
  ( ! [X1 : a] : ((((sK3 @ sK26 @ X1)) = ((sK8 @ X1)))) ) | (~spl9_7 | spl9_290)),
  inference(argument_congruence,[],[f35936])).
thf(f36956,plain,(
  ( ! [X1 : a] : ((((sK3 @ sK26 @ X1)) = $false) | ($true = ((sK8 @ X1)))) ) | (~spl9_7 | spl9_290)),
  inference(iff_proxy_clausification,[],[f36878])).
thf(f46719,plain,(
  ($true = $false) | ($true = ((sK8 @ sK26))) | (~spl9_7 | spl9_290)),
  inference(constrained_superposition,[],[f36956,f23])).
thf(f46787,plain,(
  ($true = ((sK8 @ sK26))) | (~spl9_7 | spl9_290)),
  inference(trivial_inequality_removal,[],[f46719])).
thf(f46803,plain,(
  ($true = $false) | (~spl9_7 | spl9_290 | ~spl9_291)),
  inference(forward_demodulation,[],[f46787,f31555])).
thf(f46804,plain,(
  $false | (~spl9_7 | spl9_290 | ~spl9_291)),
  inference(trivial_inequality_removal,[],[f46803])).
thf(f46805,plain,(
  ~spl9_7 | spl9_290 | ~spl9_291),
  inference(avatar_contradiction_clause,[],[f46804])).
cnf(s1, plain, spl9_1 | spl9_2, inference(sat_conversion,[],[f38])).
cnf(s2, plain, spl9_3 | spl9_4, inference(sat_conversion,[],[f47])).
cnf(s3, plain, ~spl9_3 | spl9_5 | spl9_6, inference(sat_conversion,[],[f109])).
cnf(s4, plain, ~spl9_3 | spl9_6 | spl9_7, inference(sat_conversion,[],[f165])).
cnf(s6, plain, ~spl9_3 | ~spl9_6, inference(sat_conversion,[],[f187])).
cnf(s9, plain, ~spl9_2 | ~spl9_4, inference(sat_conversion,[],[f399])).
cnf(s18, plain, ~spl9_4 | spl9_6 | spl9_15, inference(sat_conversion,[],[f567])).
cnf(s21, plain, ~spl9_4 | ~spl9_6, inference(sat_conversion,[],[f584])).
cnf(s151, plain, spl9_3 | ~spl9_50, inference(sat_conversion,[],[f5504])).
cnf(s169, plain, spl9_50 | spl9_61 | spl9_62, inference(sat_conversion,[],[f5758])).
cnf(s170, plain, spl9_50 | spl9_63 | spl9_64, inference(sat_conversion,[],[f5767])).
cnf(s173, plain, ~spl9_61 | ~spl9_63, inference(sat_conversion,[],[f5772])).
cnf(s228, plain, ~spl9_15 | spl9_63 | ~spl9_64, inference(sat_conversion,[],[f7284])).
cnf(s367, plain, ~spl9_15 | spl9_61 | ~spl9_62, inference(sat_conversion,[],[f11830])).
cnf(s375, plain, ~spl9_1 | ~spl9_3, inference(sat_conversion,[],[f11860])).
cnf(s687, plain, ~spl9_3 | spl9_143, inference(sat_conversion,[],[f20940])).
cnf(s922, plain, spl9_4 | ~spl9_173, inference(sat_conversion,[],[f31339])).
cnf(s978, plain, spl9_173 | spl9_290 | spl9_291, inference(sat_conversion,[],[f31556])).
cnf(s979, plain, spl9_173 | spl9_292 | spl9_293, inference(sat_conversion,[],[f31565])).
cnf(s980, plain, ~spl9_290 | ~spl9_293, inference(sat_conversion,[],[f31568])).
cnf(s1056, plain, spl9_6 | spl9_141 | ~spl9_143, inference(sat_conversion,[],[f35471])).
cnf(s1131, plain, ~spl9_5 | ~spl9_141 | ~spl9_290 | ~spl9_292, inference(sat_conversion,[],[f35658])).
cnf(s1346, plain, ~spl9_7 | spl9_290 | ~spl9_291, inference(sat_conversion,[],[f46805])).
cnf(s1348, plain, spl9_290 | spl9_4, inference(rat,[],[s978,s1346,s922,s4,s6,s2])).
cnf(s1349, plain, spl9_4, inference(rat,[],[s979,s1131,s980,s1348,s3,s1056,s6,s687,s2,s922])).
cnf(s1352, plain, ~spl9_6, inference(rat,[],[s21,s1349])).
cnf(s1353, plain, ~spl9_2, inference(rat,[],[s9,s1349])).
cnf(s1365, plain, spl9_15, inference(rat,[],[s18,s1349,s1352])).
cnf(s1366, plain, spl9_1, inference(rat,[],[s1,s1353])).
cnf(s1423, plain, ~spl9_3, inference(rat,[],[s375,s1366])).
cnf(s1459, plain, ~spl9_50, inference(rat,[],[s151,s1423])).
cnf(s1472, plain, spl9_61, inference(rat,[],[s169,s367,s1459,s1365])).
cnf(s1473, plain, ~spl9_63, inference(rat,[],[s173,s1472])).
cnf(s1474, plain, ~spl9_64, inference(rat,[],[s228,s1365,s1473])).
cnf(s1475, plain, $false, inference(rat,[],[s170,s1459,s1474,s1473])).
thf(f46810,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s1475])).
% SZS output end Proof for theBenchmark