%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU709^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 9 02:46:07 PM UTC 2025
% Result : Theorem 216.02s 215.78s
% Output : Proof 216.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU709^1 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 21:33:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 216.02/215.78 % SZS status Theorem
% 216.02/215.78 % Mode: mode479:USE_SINE=true:SINE_TOLERANCE=5.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 216.02/215.78 % Inferences: 447
% 216.02/215.78 % SZS output start Proof
% 216.02/215.78 thf(def_setextAx,definition,(setextAx = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))))).
% 216.02/215.78 thf(def_emptysetAx,definition,(emptysetAx = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 216.02/215.78 thf(def_setadjoinAx,definition,(setadjoinAx = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 216.02/215.78 thf(def_powersetAx,definition,(powersetAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 216.02/215.78 thf(def_setunionAx,definition,(setunionAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))))).
% 216.02/215.78 thf(def_omega0Ax,definition,(omega0Ax = ((in @ emptyset) @ omega))).
% 216.02/215.78 thf(def_omegaSAx,definition,(omegaSAx = (![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))))).
% 216.02/215.78 thf(def_omegaIndAx,definition,(omegaIndAx = (![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))))).
% 216.02/215.78 thf(def_replAx,definition,(replAx = (![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))))).
% 216.02/215.78 thf(def_foundationAx,definition,(foundationAx = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))))).
% 216.02/215.78 thf(def_wellorderingAx,definition,(wellorderingAx = (![X1:$i]:(~((![X2:$i]:((~(((~(((![X3:$i]:(((in @ X3) @ X2) => (![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X1) => (~(((in @ X4) @ X1)))))) => ((![X5:$i]:(((in @ X5) @ X2) => (((in @ X3) @ X5) = ((in @ X4) @ X5)))) => (X3 = X4)))))))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X2) => (~(((in @ X4) @ X2)))))) => ((~((![X5:$i]:(((in @ X5) @ X3) => ((in @ X5) @ X4))))) => (![X5:$i]:(((in @ X5) @ X4) => ((in @ X5) @ X3)))))))))))) => (~((![X3:$i]:((~(((![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))) => (![X4:$i]:(~(((in @ X4) @ X3))))))) => (~((![X4:$i]:(![X5:$i]:((~(((~((((in @ X4) @ X2) => (~(((in @ X5) @ X3)))))) => (~((![X6:$i]:(((in @ X6) @ X4) => (~(((in @ X6) @ X3)))))))))) => (~((![X6:$i]:(((in @ X6) @ X2) => ((~((![X7:$i]:(((in @ X7) @ X6) => ((in @ X7) @ X4))))) => ((in @ X5) @ X6)))))))))))))))))))))).
% 216.02/215.78 thf(def_descrp,definition,(descrp = (![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))))).
% 216.02/215.78 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 216.02/215.78 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 216.02/215.78 thf(def_exuE1,definition,(exuE1 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))))).
% 216.02/215.78 thf(def_prop2setE,definition,(prop2setE = (![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))))).
% 216.02/215.78 thf(def_emptysetE,definition,(emptysetE = (![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))))).
% 216.02/215.78 thf(def_emptysetimpfalse,definition,(emptysetimpfalse = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 216.02/215.78 thf(def_notinemptyset,definition,(notinemptyset = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 216.02/215.78 thf(def_exuE3e,definition,(exuE3e = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))))).
% 216.02/215.78 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 216.02/215.78 thf(def_emptyI,definition,(emptyI = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 216.02/215.78 thf(def_noeltsimpempty,definition,(noeltsimpempty = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 216.02/215.78 thf(def_setbeta,definition,(setbeta = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))))).
% 216.02/215.78 thf(def_nonemptyE1,definition,(nonemptyE1 = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 216.02/215.78 thf(def_nonemptyI,definition,(nonemptyI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_nonemptyI1,definition,(nonemptyI1 = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))))).
% 216.02/215.78 thf(def_setadjoinIL,definition,(setadjoinIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))))).
% 216.02/215.78 thf(def_emptyinunitempty,definition,(emptyinunitempty = ((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)))).
% 216.02/215.78 thf(def_setadjoinIR,definition,(setadjoinIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_setadjoinE,definition,(setadjoinE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))))).
% 216.02/215.78 thf(def_setadjoinOr,definition,(setadjoinOr = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 216.02/215.78 thf(def_setoftrueEq,definition,(setoftrueEq = (![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)))).
% 216.02/215.78 thf(def_powersetI,definition,(powersetI = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))))).
% 216.02/215.78 thf(def_emptyinPowerset,definition,(emptyinPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 216.02/215.78 thf(def_emptyInPowerset,definition,(emptyInPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 216.02/215.78 thf(def_powersetE,definition,(powersetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 216.02/215.78 thf(def_setunionI,definition,(setunionI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))))).
% 216.02/215.78 thf(def_setunionE,definition,(setunionE = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))))).
% 216.02/215.78 thf(def_subPowSU,definition,(subPowSU = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ X2) @ (powerset @ (setunion @ X1)))))))).
% 216.02/215.78 thf(def_exuE2,definition,(exuE2 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))))))).
% 216.02/215.78 thf(def_nonemptyImpWitness,definition,(nonemptyImpWitness = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 216.02/215.78 thf(def_uniqinunit,definition,(uniqinunit = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 216.02/215.78 thf(def_notinsingleton,definition,(notinsingleton = (![X1:$i]:(![X2:$i]:((~((X1 = X2))) => (~(((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))))).
% 216.02/215.78 thf(def_eqinunit,definition,(eqinunit = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 216.02/215.78 thf(def_singletonsswitch,definition,(singletonsswitch = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => ((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))).
% 216.02/215.78 thf(def_upairsetE,definition,(upairsetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))))).
% 216.02/215.78 thf(def_upairsetIL,definition,(upairsetIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 216.02/215.78 thf(def_upairsetIR,definition,(upairsetIR = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 216.02/215.78 thf(def_emptyE1,definition,(emptyE1 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((((dsetconstr @ X1) @ X2) = emptyset)))))))).
% 216.02/215.78 thf(def_vacuousDall,definition,(vacuousDall = (![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ emptyset) => (X1 @ X2)))))).
% 216.02/215.78 thf(def_quantDeMorgan1,definition,(quantDeMorgan1 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 216.02/215.78 thf(def_quantDeMorgan2,definition,(quantDeMorgan2 = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 216.02/215.78 thf(def_quantDeMorgan3,definition,(quantDeMorgan3 = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 216.02/215.78 thf(def_quantDeMorgan4,definition,(quantDeMorgan4 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 216.02/215.78 thf(def_prop2setI,definition,(prop2setI = (![X1:$o]:(X1 => ((in @ emptyset) @ (prop2set @ X1)))))).
% 216.02/215.78 thf(def_prop2set2propI,definition,(prop2set2propI = (![X1:$o]:(X1 => (set2prop @ (prop2set @ X1)))))).
% 216.02/215.78 thf(def_notdexE,definition,(notdexE = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 216.02/215.78 thf(def_notdallE,definition,(notdallE = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 216.02/215.78 thf(def_exuI1,definition,(exuI1 = (![X1:$i>$o]:((~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))) => (exu @ X1))))).
% 216.02/215.78 thf(def_exuI3,definition,(exuI3 = (![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => ((![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))) => (exu @ X1)))))).
% 216.02/215.78 thf(def_exuI2,definition,(exuI2 = (![X1:$i>$o]:((~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))) => (exu @ X1))))).
% 216.02/215.78 thf(def_inCongP,definition,(inCongP = (![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) => ((in @ X4) @ X2)))))))))).
% 216.02/215.78 thf(def_in__Cong,definition,(in__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) = ((in @ X4) @ X2)))))))))).
% 216.02/215.78 thf(def_exuE3u,definition,(exuE3u = (![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))))).
% 216.02/215.78 thf(def_exu__Cong,definition,(exu__Cong = (![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) = (exu @ X2))))))).
% 216.02/215.78 thf(def_emptyset__Cong,definition,(emptyset__Cong = (emptyset = emptyset))).
% 216.02/215.78 thf(def_setadjoin__Cong,definition,(setadjoin__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((setadjoin @ X1) @ X3) = ((setadjoin @ X2) @ X4)))))))))).
% 216.02/215.78 thf(def_powerset__Cong,definition,(powerset__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((powerset @ X1) = (powerset @ X2))))))).
% 216.02/215.78 thf(def_setunion__Cong,definition,(setunion__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((setunion @ X1) = (setunion @ X2))))))).
% 216.02/215.78 thf(def_omega__Cong,definition,(omega__Cong = (omega = omega))).
% 216.02/215.78 thf(def_exuEu,definition,(exuEu = (![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))))).
% 216.02/215.78 thf(def_descr__Cong,definition,(descr__Cong = (![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) => ((exu @ X2) => ((descr @ X1) = (descr @ X2))))))))).
% 216.02/215.78 thf(def_dsetconstr__Cong,definition,(dsetconstr__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i>$o]:(![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => ((X5 = X6) => ((X3 @ X5) = (X4 @ X6))))))) => (((dsetconstr @ X1) @ X3) = ((dsetconstr @ X2) @ X4)))))))))).
% 216.02/215.78 thf(def_subsetI1,definition,(subsetI1 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))))).
% 216.02/215.78 thf(def_eqimpsubset2,definition,(eqimpsubset2 = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X2) @ X1)))))).
% 216.02/215.78 thf(def_eqimpsubset1,definition,(eqimpsubset1 = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X1) @ X2)))))).
% 216.02/215.78 thf(def_subsetI2,definition,(subsetI2 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))))).
% 216.02/215.78 thf(def_emptysetsubset,definition,(emptysetsubset = ((!!) @ (subset @ emptyset)))).
% 216.02/215.78 thf(def_subsetE,definition,(subsetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))))).
% 216.02/215.78 thf(def_subsetE2,definition,(subsetE2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))))).
% 216.02/215.78 thf(def_notsubsetI,definition,(notsubsetI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~(((subset @ X1) @ X2)))))))))).
% 216.02/215.78 thf(def_notequalI1,definition,(notequalI1 = (![X1:$i]:(![X2:$i]:((~(((subset @ X1) @ X2))) => (~((X1 = X2)))))))).
% 216.02/215.78 thf(def_notequalI2,definition,(notequalI2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~((X1 = X2)))))))))).
% 216.02/215.78 thf(def_subsetRefl,definition,(subsetRefl = (![X1:$i]:((subset @ X1) @ X1)))).
% 216.02/215.78 thf(def_subsetTrans,definition,(subsetTrans = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X3) => ((subset @ X1) @ X3)))))))).
% 216.02/215.78 thf(def_setadjoinSub,definition,(setadjoinSub = (![X1:$i]:(![X2:$i]:((subset @ X2) @ ((setadjoin @ X1) @ X2)))))).
% 216.02/215.78 thf(def_setadjoinSub2,definition,(setadjoinSub2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X3) => ((subset @ X1) @ ((setadjoin @ X2) @ X3)))))))).
% 216.02/215.78 thf(def_subset2powerset,definition,(subset2powerset = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((in @ X1) @ (powerset @ X2))))))).
% 216.02/215.78 thf(def_setextsub,definition,(setextsub = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X1) => (X1 = X2))))))).
% 216.02/215.78 thf(def_subsetemptysetimpeq,definition,(subsetemptysetimpeq = (![X1:$i]:(((subset @ X1) @ emptyset) => (X1 = emptyset))))).
% 216.02/215.78 thf(def_powersetI1,definition,(powersetI1 = (![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => ((in @ X2) @ (powerset @ X1))))))).
% 216.02/215.78 thf(def_powersetE1,definition,(powersetE1 = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) => ((subset @ X2) @ X1)))))).
% 216.02/215.78 thf(def_inPowerset,definition,(inPowerset = (![X1:$i]:((in @ X1) @ (powerset @ X1))))).
% 216.02/215.78 thf(def_powersetsubset,definition,(powersetsubset = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((subset @ (powerset @ X1)) @ (powerset @ X2))))))).
% 216.02/215.78 thf(def_sepInPowerset,definition,(sepInPowerset = (![X1:$i]:(![X2:$i>$o]:((in @ ((dsetconstr @ X1) @ X2)) @ (powerset @ X1)))))).
% 216.02/215.78 thf(def_sepSubset,definition,(sepSubset = (![X1:$i]:(![X2:$i>$o]:((subset @ ((dsetconstr @ X1) @ X2)) @ X1))))).
% 216.02/215.78 thf(def_binunionIL,definition,(binunionIL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ ((binunion @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_upairset2IR,definition,(upairset2IR = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 216.02/215.78 thf(def_binunionIR,definition,(binunionIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((binunion @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_binunionEcases,definition,(binunionEcases = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$o]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((((in @ X3) @ X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))))).
% 216.02/215.78 thf(def_binunionE,definition,(binunionE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((~(((in @ X3) @ X1))) => ((in @ X3) @ X2)))))))).
% 216.02/215.78 thf(def_binunionLsub,definition,(binunionLsub = (![X1:$i]:(![X2:$i]:((subset @ X1) @ ((binunion @ X1) @ X2)))))).
% 216.02/215.78 thf(def_binunionRsub,definition,(binunionRsub = (![X1:$i]:(![X2:$i]:((subset @ X2) @ ((binunion @ X1) @ X2)))))).
% 216.02/215.78 thf(def_binintersectI,definition,(binintersectI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => ((in @ X3) @ ((binintersect @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_binintersectSubset5,definition,(binintersectSubset5 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X3) @ X1) => (((subset @ X3) @ X2) => ((subset @ X3) @ ((binintersect @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_binintersectEL,definition,(binintersectEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 216.02/215.78 thf(def_binintersectLsub,definition,(binintersectLsub = (![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X1))))).
% 216.02/215.78 thf(def_binintersectSubset2,definition,(binintersectSubset2 = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((binintersect @ X1) @ X2) = X1)))))).
% 216.02/215.78 thf(def_binintersectSubset3,definition,(binintersectSubset3 = (![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X2) => ((subset @ X2) @ X1)))))).
% 216.02/215.78 thf(def_binintersectER,definition,(binintersectER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X2))))))).
% 216.02/215.78 thf(def_disjointsetsI1,definition,(disjointsetsI1 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X3) @ X2))))) => (((binintersect @ X1) @ X2) = emptyset)))))).
% 216.02/215.78 thf(def_binintersectRsub,definition,(binintersectRsub = (![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X2))))).
% 216.02/215.78 thf(def_binintersectSubset4,definition,(binintersectSubset4 = (![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => (((binintersect @ X1) @ X2) = X2)))))).
% 216.02/215.78 thf(def_binintersectSubset1,definition,(binintersectSubset1 = (![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X1) => ((subset @ X1) @ X2)))))).
% 216.02/215.78 thf(def_bs114d,definition,(bs114d = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((binintersect @ X1) @ ((binunion @ X2) @ X3)) = ((binunion @ ((binintersect @ X1) @ X2)) @ ((binintersect @ X1) @ X3)))))))).
% 216.02/215.78 thf(def_setminusI,definition,(setminusI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((setminus @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_setminusEL,definition,(setminusEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 216.02/215.78 thf(def_setminusER,definition,(setminusER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => (~(((in @ X3) @ X2))))))))).
% 216.02/215.78 thf(def_setminusSubset2,definition,(setminusSubset2 = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((setminus @ X1) @ X2) = emptyset)))))).
% 216.02/215.78 thf(def_setminusERneg,definition,(setminusERneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))))).
% 216.02/215.78 thf(def_setminusELneg,definition,(setminusELneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))))).
% 216.02/215.78 thf(def_setminusILneg,definition,(setminusILneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))))).
% 216.02/215.78 thf(def_setminusIRneg,definition,(setminusIRneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))))).
% 216.02/215.78 thf(def_setminusLsub,definition,(setminusLsub = (![X1:$i]:(![X2:$i]:((subset @ ((setminus @ X1) @ X2)) @ X1))))).
% 216.02/215.78 thf(def_setminusSubset1,definition,(setminusSubset1 = (![X1:$i]:(![X2:$i]:((((setminus @ X1) @ X2) = emptyset) => ((subset @ X1) @ X2)))))).
% 216.02/215.78 thf(def_symdiffE,definition,(symdiffE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((symdiff @ X1) @ X2)) => (![X4:$o]:((((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => X4)) => (((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => X4)) => X4))))))))).
% 216.02/215.78 thf(def_symdiffI1,definition,(symdiffI1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_symdiffI2,definition,(symdiffI2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_symdiffIneg1,definition,(symdiffIneg1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))))).
% 216.02/215.78 thf(def_symdiffIneg2,definition,(symdiffIneg2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))))).
% 216.02/215.78 thf(def_secondinupair,definition,(secondinupair = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 216.02/215.78 thf(def_setukpairIL,definition,(setukpairIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))))).
% 216.02/215.78 thf(def_setukpairIR,definition,(setukpairIR = (![X1:$i]:(![X2:$i]:((in @ X2) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))))).
% 216.02/215.78 thf(def_kpairiskpair,definition,(kpairiskpair = (![X1:$i]:(![X2:$i]:(iskpair @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))))))).
% 216.02/215.78 thf(def_kpairp,definition,(kpairp = (![X1:$i]:(![X2:$i]:(iskpair @ ((kpair @ X1) @ X2)))))).
% 216.02/215.78 thf(def_singletonsubset,definition,(singletonsubset = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((subset @ ((setadjoin @ X2) @ emptyset)) @ X1)))))).
% 216.02/215.78 thf(def_singletoninpowerset,definition,(singletoninpowerset = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ ((setadjoin @ X2) @ emptyset)) @ (powerset @ X1))))))).
% 216.02/215.78 thf(def_singletoninpowunion,definition,(singletoninpowunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ ((setadjoin @ X3) @ emptyset)) @ (powerset @ ((binunion @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_upairset2E,definition,(upairset2E = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))))).
% 216.02/215.78 thf(def_upairsubunion,definition,(upairsubunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((subset @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ ((binunion @ X1) @ X2)))))))))).
% 216.02/215.78 thf(def_upairinpowunion,definition,(upairinpowunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ (powerset @ ((binunion @ X1) @ X2))))))))))).
% 216.02/215.78 thf(def_ubforcartprodlem1,definition,(ubforcartprodlem1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((subset @ ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) @ (powerset @ ((binunion @ X1) @ X2))))))))))).
% 216.02/215.78 thf(def_ubforcartprodlem2,definition,(ubforcartprodlem2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) @ (powerset @ (powerset @ ((binunion @ X1) @ X2)))))))))))).
% 216.02/215.78 thf(def_ubforcartprodlem3,definition,(ubforcartprodlem3 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ (powerset @ (powerset @ ((binunion @ X1) @ X2)))))))))))).
% 216.02/215.78 thf(def_cartprodpairin,definition,(cartprodpairin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)))))))))).
% 216.02/215.78 thf(def_cartprodmempair1,definition,(cartprodmempair1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (~((![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (~((X3 = ((kpair @ X4) @ X5)))))))))))))))).
% 216.02/215.78 thf(def_cartprodmempair,definition,(cartprodmempair = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (iskpair @ X3))))))).
% 216.02/215.78 thf(def_setunionE2,definition,(setunionE2 = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (~((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X2) @ X3)))))))))))).
% 216.02/215.78 thf(def_setunionsingleton1,definition,(setunionsingleton1 = (![X1:$i]:((subset @ (setunion @ ((setadjoin @ X1) @ emptyset))) @ X1)))).
% 216.02/215.78 thf(def_setunionsingleton2,definition,(setunionsingleton2 = (![X1:$i]:((subset @ X1) @ (setunion @ ((setadjoin @ X1) @ emptyset)))))).
% 216.02/215.78 thf(def_setunionsingleton,definition,(setunionsingleton = (![X1:$i]:((setunion @ ((setadjoin @ X1) @ emptyset)) = X1)))).
% 216.02/215.78 thf(def_singletonprop,definition,(singletonprop = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (singleton @ ((dsetconstr @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_ex1E1,definition,(ex1E1 = (![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))))).
% 216.02/215.78 thf(def_ex1I,definition,(ex1I = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => ((ex1 @ X1) @ X2))))))))).
% 216.02/215.78 thf(def_ex1I2,definition,(ex1I2 = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => ((ex1 @ X1) @ X2))))))).
% 216.02/215.78 thf(def_singletonsuniq,definition,(singletonsuniq = (![X1:$i]:(![X2:$i]:((((setadjoin @ X1) @ emptyset) = ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 216.02/215.78 thf(def_setukpairinjL1,definition,(setukpairinjL1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))) => (X1 = X3))))))).
% 216.02/215.78 thf(def_kfstsingleton,definition,(kfstsingleton = (![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:((in @ ((setadjoin @ X2) @ emptyset)) @ X1)))))))).
% 216.02/215.78 thf(def_theprop,definition,(theprop = (![X1:$i]:((singleton @ X1) => ((in @ (setunion @ X1)) @ X1))))).
% 216.02/215.78 thf(def_kfstpairEq,definition,(kfstpairEq = (![X1:$i]:(![X2:$i]:((kfst @ ((kpair @ X1) @ X2)) = X1))))).
% 216.02/215.78 thf(def_cartprodfstin,definition,(cartprodfstin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (kfst @ X3)) @ X1))))))).
% 216.02/215.78 thf(def_setukpairinjL2,definition,(setukpairinjL2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => (X1 = X3)))))))).
% 216.02/215.78 thf(def_setukpairinjL,definition,(setukpairinjL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X1 = X3)))))))).
% 216.02/215.78 thf(def_setukpairinjR11,definition,(setukpairinjR11 = (![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X1) @ emptyset))))))).
% 216.02/215.78 thf(def_setukpairinjR12,definition,(setukpairinjR12 = (![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ emptyset))))))).
% 216.02/215.78 thf(def_setukpairinjR1,definition,(setukpairinjR1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => ((X3 = X4) => (X2 = X4))))))))).
% 216.02/215.78 thf(def_upairequniteq,definition,(upairequniteq = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2))))))).
% 216.02/215.78 thf(def_setukpairinjR2,definition,(setukpairinjR2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => (X2 = X4)))))))).
% 216.02/215.78 thf(def_setukpairinjR,definition,(setukpairinjR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X2 = X4)))))))).
% 216.02/215.78 thf(def_ksndsingleton,definition,(ksndsingleton = (![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:(X1 = ((kpair @ (kfst @ X1)) @ X2))))))))).
% 216.02/215.78 thf(def_ksndpairEq,definition,(ksndpairEq = (![X1:$i]:(![X2:$i]:((ksnd @ ((kpair @ X1) @ X2)) = X2))))).
% 216.02/215.78 thf(def_kpairsurjEq,definition,(kpairsurjEq = (![X1:$i]:((iskpair @ X1) => (((kpair @ (kfst @ X1)) @ (ksnd @ X1)) = X1))))).
% 216.02/215.78 thf(def_cartprodsndin,definition,(cartprodsndin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (ksnd @ X3)) @ X2))))))).
% 216.02/215.78 thf(def_cartprodpairmemEL,definition,(cartprodpairmemEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X3) @ X1)))))))).
% 216.02/215.78 thf(def_cartprodpairmemER,definition,(cartprodpairmemER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X4) @ X2)))))))).
% 216.02/215.78 thf(def_cartprodmempaircEq,definition,(cartprodmempaircEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => (((kpair @ X3) @ X4) = ((kpair @ X3) @ X4)))))))))).
% 216.02/215.78 thf(def_cartprodfstpairEq,definition,(cartprodfstpairEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((kfst @ ((kpair @ X3) @ X4)) = X3))))))))).
% 216.02/215.78 thf(def_cartprodsndpairEq,definition,(cartprodsndpairEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((ksnd @ ((kpair @ X3) @ X4)) = X4))))))))).
% 216.02/215.78 thf(def_cartprodpairsurjEq,definition,(cartprodpairsurjEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (((kpair @ (kfst @ X3)) @ (ksnd @ X3)) = X3))))))).
% 216.02/215.78 thf(def_dpsetconstrI,definition,(dpsetconstrI = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((X3 @ X4) @ X5) => ((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)))))))))))).
% 216.02/215.78 thf(def_dpsetconstrSub,definition,(dpsetconstrSub = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:((subset @ (((dpsetconstr @ X1) @ X2) @ X3)) @ ((cartprod @ X1) @ X2))))))).
% 216.02/215.78 thf(def_setOfPairsIsBReln,definition,(setOfPairsIsBReln = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(((breln @ X1) @ X2) @ (((dpsetconstr @ X1) @ X2) @ X3))))))).
% 216.02/215.78 thf(def_dpsetconstrERa,definition,(dpsetconstrERa = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))))))).
% 216.02/215.78 thf(def_dpsetconstrEL1,definition,(dpsetconstrEL1 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X4) @ X1))))))))).
% 216.02/215.78 thf(def_dpsetconstrEL2,definition,(dpsetconstrEL2 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X5) @ X2))))))))).
% 216.02/215.78 thf(def_dpsetconstrER,definition,(dpsetconstrER = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))))).
% 216.02/215.78 thf(def_funcImageSingleton,definition,(funcImageSingleton = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X2) @ (^[X5:$i]:((in @ ((kpair @ X4) @ X5)) @ X3)))))))))))).
% 216.02/215.78 thf(def_apProp,definition,(apProp = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ (setunion @ ((dsetconstr @ X2) @ (^[X5:$i]:((in @ ((kpair @ X4) @ X5)) @ X3))))) @ X2))))))))).
% 216.02/215.78 thf(def_app,definition,(app = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))))).
% 216.02/215.78 thf(def_infuncsetfunc,definition,(infuncsetfunc = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (((func @ X1) @ X2) @ X3))))))).
% 216.02/215.78 thf(def_ap2p,definition,(ap2p = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))))).
% 216.02/215.78 thf(def_funcinfuncset,definition,(funcinfuncset = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((in @ X3) @ ((funcSet @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_lamProp,definition,(lamProp = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (((func @ X1) @ X2) @ (((dpsetconstr @ X1) @ X2) @ (^[X4:$i]:((=) @ (X3 @ X4))))))))))).
% 216.02/215.78 thf(def_lamp,definition,(lamp = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (((func @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)))))))).
% 216.02/215.78 thf(def_lam2p,definition,(lam2p = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((in @ (((lam @ X1) @ X2) @ X3)) @ ((funcSet @ X1) @ X2)))))))).
% 216.02/215.78 thf(def_brelnall1,definition,(brelnall1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => (X4 @ ((kpair @ X5) @ X6))))))) => (![X5:$i]:(((in @ X5) @ X3) => (X4 @ X5))))))))))).
% 216.02/215.78 thf(def_brelnall2,definition,(brelnall2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => (X4 @ ((kpair @ X5) @ X6))))))) => (![X5:$i]:(((in @ X5) @ X3) => (X4 @ X5))))))))))).
% 216.02/215.78 thf(def_ex1E2,definition,(ex1E2 = (![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4)))))))))))).
% 216.02/215.78 thf(def_funcGraphProp1,definition,(funcGraphProp1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))))).
% 216.02/215.78 thf(def_funcGraphProp3,definition,(funcGraphProp3 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))))).
% 216.02/215.78 thf(def_funcGraphProp2,definition,(funcGraphProp2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ X3) => (((((ap @ X1) @ X2) @ X3) @ X4) = X5)))))))))))).
% 216.02/215.78 thf(def_funcextLem,definition,(funcextLem = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3))))))))))))))).
% 216.02/215.78 thf(def_funcGraphProp4,definition,(funcGraphProp4 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ X3) => (((((ap @ X1) @ X2) @ X3) @ X4) = X5)))))))))))).
% 216.02/215.78 thf(def_subbreln,definition,(subbreln = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i]:((((breln @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => ((in @ ((kpair @ X5) @ X6)) @ X4)))))) => ((subset @ X3) @ X4)))))))))).
% 216.02/215.78 thf(def_eqbreln,definition,(eqbreln = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i]:((((breln @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => ((in @ ((kpair @ X5) @ X6)) @ X4)))))) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3)))))) => (X3 = X4))))))))))).
% 216.02/215.78 thf(def_funcext,definition,(funcext = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))))).
% 216.02/215.78 thf(def_funcext2,definition,(funcext2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ ((funcSet @ X1) @ X2)) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))))).
% 216.02/215.78 thf(def_ap2apEq1,definition,(ap2apEq1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))))).
% 216.02/215.78 thf(def_ap2apEq2,definition,(ap2apEq2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))))).
% 216.02/215.78 thf(def_beta1,definition,(beta1 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))))).
% 216.02/215.78 thf(def_eta1,definition,(eta1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))))).
% 216.02/215.78 thf(def_lam2lamEq,definition,(lam2lamEq = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((((lam @ X1) @ X2) @ X3) = (((lam @ X1) @ X2) @ X3)))))))).
% 216.02/215.78 thf(def_beta2,definition,(beta2 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))))).
% 216.02/215.78 thf(def_eta2,definition,(eta2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))))).
% 216.02/215.78 thf(def_iffalseProp1,definition,(iffalseProp1 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => ((in @ X4) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))))).
% 216.02/215.78 thf(def_iffalseProp2,definition,(iffalseProp2 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X4) @ emptyset))))))))))).
% 216.02/215.78 thf(def_iftrueProp1,definition,(iftrueProp1 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => ((in @ X3) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))))).
% 216.02/215.78 thf(def_iftrueProp2,definition,(iftrueProp2 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X3) @ emptyset))))))))))).
% 216.02/215.78 thf(def_ifSingleton,definition,(ifSingleton = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4)))))))))))))))))).
% 216.02/215.78 thf(def_ifp,definition,(ifp = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((if @ X1) @ X2) @ X3) @ X4)) @ X1))))))))).
% 216.02/215.78 thf(def_theeq,definition,(theeq = (![X1:$i]:((singleton @ X1) => (![X2:$i]:(((in @ X2) @ X1) => ((setunion @ X1) = X2))))))).
% 216.02/215.78 thf(def_iftrue,definition,(iftrue = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((((if @ X1) @ X2) @ X3) @ X4) = X3)))))))))).
% 216.02/215.78 thf(def_iffalse,definition,(iffalse = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((((if @ X1) @ X2) @ X3) @ X4) = X4)))))))))).
% 216.02/215.78 thf(iftrueorfalse,conjecture,((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))) => (((in @ emptyset) @ omega) => ((![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))) => ((![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))) => ((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))) => ((![X1:$i]:(~((![X2:$i]:((~(((~(((![X3:$i]:(((in @ X3) @ X2) => (![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X1) => (~(((in @ X4) @ X1)))))) => ((![X5:$i]:(((in @ X5) @ X2) => (((in @ X3) @ X5) = ((in @ X4) @ X5)))) => (X3 = X4)))))))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X2) => (~(((in @ X4) @ X2)))))) => ((~((![X5:$i]:(((in @ X5) @ X3) => ((in @ X5) @ X4))))) => (![X5:$i]:(((in @ X5) @ X4) => ((in @ X5) @ X3)))))))))))) => (~((![X3:$i]:((~(((![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))) => (![X4:$i]:(~(((in @ X4) @ X3))))))) => (~((![X4:$i]:(![X5:$i]:((~(((~((((in @ X4) @ X2) => (~(((in @ X5) @ X3)))))) => (~((![X6:$i]:(((in @ X6) @ X4) => (~(((in @ X6) @ X3)))))))))) => (~((![X6:$i]:(((in @ X6) @ X2) => ((~((![X7:$i]:(((in @ X7) @ X6) => ((in @ X7) @ X4))))) => ((in @ X5) @ X6)))))))))))))))))))) => ((![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))) => ((![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))) => ((![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => (((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ X2) @ (powerset @ (setunion @ X1)))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((~((X1 = X2))) => (~(((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => ((in @ X2) @ ((setadjoin @ X1) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((((dsetconstr @ X1) @ X2) = emptyset)))))) => ((![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ emptyset) => (X1 @ X2)))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$o]:(X1 => ((in @ emptyset) @ (prop2set @ X1)))) => ((![X1:$o]:(X1 => (set2prop @ (prop2set @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i>$o]:((~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))) => (exu @ X1))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => ((![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))) => (exu @ X1)))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))) => (exu @ X1))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) => ((in @ X4) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) = ((in @ X4) @ X2)))))))) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) = (exu @ X2))))) => ((emptyset = emptyset) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((setadjoin @ X1) @ X3) = ((setadjoin @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((powerset @ X1) = (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((setunion @ X1) = (setunion @ X2))))) => ((omega = omega) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) => ((exu @ X2) => ((descr @ X1) = (descr @ X2))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i>$o]:(![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => ((X5 = X6) => ((X3 @ X5) = (X4 @ X6))))))) => (((dsetconstr @ X1) @ X3) = ((dsetconstr @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => (((!!) @ (subset @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~(((subset @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((~(((subset @ X1) @ X2))) => (~((X1 = X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~((X1 = X2)))))))) => ((![X1:$i]:((subset @ X1) @ X1)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X3) => ((subset @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:((subset @ X2) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X3) => ((subset @ X1) @ ((setadjoin @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((in @ X1) @ (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X1) => (X1 = X2))))) => ((![X1:$i]:(((subset @ X1) @ emptyset) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) => ((subset @ X2) @ X1)))) => ((![X1:$i]:((in @ X1) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((subset @ (powerset 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((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X3) @ X1) => (((subset @ X3) @ X2) => ((subset @ X3) @ ((binintersect @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((binintersect @ X1) @ X2) = X1)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X2))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X3) @ X2))))) => (((binintersect @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X2))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => (((binintersect @ X1) @ X2) = X2)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X1) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((binintersect @ X1) @ ((binunion @ X2) @ X3)) = ((binunion @ ((binintersect @ X1) @ X2)) @ ((binintersect @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((setminus @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => (~(((in @ X3) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((setminus @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((setminus @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:((((setminus @ X1) @ X2) = emptyset) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((symdiff @ X1) @ X2)) => (![X4:$o]:((((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => X4)) => (((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => X4)) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))) => ((![X1:$i]:(![X2:$i]:(iskpair @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(iskpair @ ((kpair @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((subset @ ((setadjoin @ X2) @ emptyset)) @ X1)))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ ((setadjoin @ X2) @ emptyset)) @ (powerset @ X1))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ ((setadjoin @ X3) @ emptyset)) @ (powerset @ ((binunion @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = 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% 216.11/215.78 thf(h0,negated_conjecture,(~(((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))) => (((in @ emptyset) @ omega) => ((![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))) => ((![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))) => ((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))) => ((![X1:$i]:(~((![X2:$i]:((~(((~(((![X3:$i]:(((in @ X3) @ X2) => (![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X1) => (~(((in @ X4) @ X1)))))) => ((![X5:$i]:(((in @ X5) @ X2) => (((in @ X3) @ X5) = ((in @ X4) @ X5)))) => (X3 = X4)))))))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X2) => (~(((in @ X4) @ X2)))))) => ((~((![X5:$i]:(((in @ X5) @ X3) => ((in @ X5) @ X4))))) => (![X5:$i]:(((in @ X5) @ X4) => ((in @ X5) @ X3)))))))))))) => (~((![X3:$i]:((~(((![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))) => (![X4:$i]:(~(((in @ X4) @ X3))))))) => (~((![X4:$i]:(![X5:$i]:((~(((~((((in @ X4) @ X2) => (~(((in @ X5) @ X3)))))) => (~((![X6:$i]:(((in @ X6) @ X4) => (~(((in @ X6) @ X3)))))))))) => (~((![X6:$i]:(((in @ X6) @ X2) => ((~((![X7:$i]:(((in @ X7) @ X6) => ((in @ X7) @ X4))))) => ((in @ X5) @ X6)))))))))))))))))))) => ((![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))) => ((![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))) => ((![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => (((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ X2) @ (powerset @ (setunion @ X1)))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((~((X1 = X2))) => (~(((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => ((in @ X2) @ ((setadjoin @ X1) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((((dsetconstr @ X1) @ X2) = emptyset)))))) => ((![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ emptyset) => (X1 @ X2)))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$o]:(X1 => ((in @ emptyset) @ (prop2set @ X1)))) => ((![X1:$o]:(X1 => (set2prop @ (prop2set @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i>$o]:((~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))) => (exu @ X1))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => ((![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))) => (exu @ X1)))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))) => (exu @ X1))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) => ((in @ X4) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) = ((in @ X4) @ X2)))))))) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) = (exu @ X2))))) => ((emptyset = emptyset) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((setadjoin @ X1) @ X3) = ((setadjoin @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((powerset @ X1) = (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((setunion @ X1) = (setunion @ X2))))) => ((omega = omega) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) => ((exu @ X2) => ((descr @ X1) = (descr @ X2))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i>$o]:(![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => ((X5 = X6) => ((X3 @ X5) = (X4 @ X6))))))) => (((dsetconstr @ X1) @ X3) = ((dsetconstr @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => (((!!) @ (subset @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~(((subset @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((~(((subset @ X1) @ X2))) => (~((X1 = X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~((X1 = X2)))))))) => ((![X1:$i]:((subset @ X1) @ X1)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X3) => ((subset @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:((subset @ X2) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X3) => ((subset @ X1) @ ((setadjoin @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((in @ X1) @ (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X1) => (X1 = X2))))) => ((![X1:$i]:(((subset @ X1) @ emptyset) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) => ((subset @ X2) @ X1)))) => ((![X1:$i]:((in @ X1) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((subset @ (powerset @ X1)) @ (powerset @ X2))))) => ((![X1:$i]:(![X2:$i>$o]:((in @ ((dsetconstr @ X1) @ X2)) @ (powerset @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:((subset @ ((dsetconstr @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ ((binunion @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((binunion @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$o]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((((in @ X3) @ X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((~(((in @ X3) @ X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:((subset @ X1) @ ((binunion @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((subset @ X2) @ ((binunion @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => ((in @ X3) @ ((binintersect @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X3) @ X1) => (((subset @ X3) @ X2) => ((subset @ X3) @ ((binintersect @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((binintersect @ X1) @ X2) = X1)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X2))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X3) @ X2))))) => (((binintersect @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X2))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => (((binintersect @ X1) @ X2) = X2)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X1) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((binintersect @ X1) @ ((binunion @ X2) @ X3)) = ((binunion @ ((binintersect @ X1) @ X2)) @ ((binintersect @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((setminus @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => (~(((in @ X3) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((setminus @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((setminus @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:((((setminus @ X1) @ X2) = emptyset) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((symdiff @ X1) @ X2)) => (![X4:$o]:((((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => X4)) => (((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => X4)) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ (setunion @ 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((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (((kpair @ (kfst @ X3)) @ (ksnd @ X3)) = X3))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((X3 @ X4) @ X5) => ((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:((subset @ (((dpsetconstr @ X1) @ X2) @ X3)) @ ((cartprod @ X1) @ X2))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(((breln @ X1) @ X2) @ (((dpsetconstr @ X1) @ X2) @ X3))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X4) @ X1))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X5) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X2) @ (^[X5:$i]:((in @ ((kpair @ X4) @ X5)) @ X3)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ (setunion @ ((dsetconstr @ X2) @ (^[X5:$i]:((in @ ((kpair @ X4) @ X5)) @ X3))))) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (((func @ X1) @ X2) @ X3))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))) => 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(((in @ ((kpair @ X5) @ X6)) @ X3) => (X4 @ ((kpair @ X5) @ X6))))))) => (![X5:$i]:(((in @ X5) @ X3) => (X4 @ X5))))))))) => ((![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ X3) => (((((ap @ X1) @ X2) @ X3) @ X4) = X5)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3))))))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ X3) => (((((ap @ X1) @ X2) @ X3) @ X4) = X5)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i]:((((breln @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => ((in @ ((kpair @ X5) @ X6)) @ X4)))))) => ((subset @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((breln @ X1) @ X2) @ X3) => (![X4:$i]:((((breln @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X3) => ((in @ ((kpair @ X5) @ X6)) @ X4)))))) => ((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3)))))) => (X3 = X4))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ ((funcSet @ X1) @ X2)) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((((lam @ X1) @ X2) @ X3) = (((lam @ X1) @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => ((in @ X4) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X4) @ emptyset))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => ((in @ X3) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X3) @ emptyset))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4)))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((if @ X1) @ X2) @ X3) @ X4)) @ X1))))))) => ((![X1:$i]:((singleton @ X1) => (![X2:$i]:(((in @ X2) @ X1) => ((setunion @ X1) = X2))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((((if @ X1) @ X2) @ X3) @ X4) = X3)))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((((if @ X1) @ X2) @ X3) @ X4) = X4)))))))) => (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((if @ X1) @ X2) @ X3) @ X4)) @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),inference(assume_negation,[status(cth)],[iftrueorfalse])).
% 216.11/215.78 thf(ax225, axiom, (p436|~(p437)), file('<stdin>', ax225)).
% 216.11/215.78 thf(ax224, axiom, (p437|~(p438)), file('<stdin>', ax224)).
% 216.11/215.78 thf(ax226, axiom, (p435|~(p436)), file('<stdin>', ax226)).
% 216.11/215.78 thf(ax227, axiom, (p433|~(p435)), file('<stdin>', ax227)).
% 216.11/215.78 thf(ax222, axiom, (p438|~(p440)), file('<stdin>', ax222)).
% 216.11/215.78 thf(ax221, axiom, (p440|~(p441)), file('<stdin>', ax221)).
% 216.11/215.78 thf(ax229, axiom, (p431|~(p433)), file('<stdin>', ax229)).
% 216.11/215.78 thf(ax231, axiom, (p429|~(p431)), file('<stdin>', ax231)).
% 216.11/215.78 thf(ax233, axiom, (p427|~(p429)), file('<stdin>', ax233)).
% 216.11/215.78 thf(ax235, axiom, (p425|~(p427)), file('<stdin>', ax235)).
% 216.11/215.78 thf(ax237, axiom, (p423|~(p425)), file('<stdin>', ax237)).
% 216.11/215.78 thf(ax239, axiom, (p421|~(p423)), file('<stdin>', ax239)).
% 216.11/215.78 thf(ax241, axiom, (p419|~(p421)), file('<stdin>', ax241)).
% 216.11/215.78 thf(ax243, axiom, (p417|~(p419)), file('<stdin>', ax243)).
% 216.11/215.78 thf(ax251, axiom, (p410|~(p412)), file('<stdin>', ax251)).
% 216.11/215.78 thf(ax249, axiom, (p412|~(p414)), file('<stdin>', ax249)).
% 216.11/215.78 thf(ax245, axiom, (p415|~(p417)), file('<stdin>', ax245)).
% 216.11/215.78 thf(ax253, axiom, (p408|~(p410)), file('<stdin>', ax253)).
% 216.11/215.78 thf(ax247, axiom, (p414|~(p415)), file('<stdin>', ax247)).
% 216.11/215.78 thf(ax255, axiom, (p406|~(p408)), file('<stdin>', ax255)).
% 216.11/215.78 thf(ax257, axiom, (p404|~(p406)), file('<stdin>', ax257)).
% 216.11/215.78 thf(ax259, axiom, (p402|~(p404)), file('<stdin>', ax259)).
% 216.11/215.78 thf(ax261, axiom, (p400|~(p402)), file('<stdin>', ax261)).
% 216.11/215.78 thf(ax263, axiom, (p398|~(p400)), file('<stdin>', ax263)).
% 216.11/215.78 thf(ax265, axiom, (p396|~(p398)), file('<stdin>', ax265)).
% 216.11/215.78 thf(ax267, axiom, (p394|~(p396)), file('<stdin>', ax267)).
% 216.11/215.78 thf(ax269, axiom, (p392|~(p394)), file('<stdin>', ax269)).
% 216.11/215.78 thf(ax271, axiom, (p390|~(p392)), file('<stdin>', ax271)).
% 216.11/215.78 thf(ax273, axiom, (p388|~(p390)), file('<stdin>', ax273)).
% 216.11/215.78 thf(ax275, axiom, (p386|~(p388)), file('<stdin>', ax275)).
% 216.11/215.78 thf(ax277, axiom, (p384|~(p386)), file('<stdin>', ax277)).
% 216.11/215.78 thf(ax279, axiom, (p383|~(p384)), file('<stdin>', ax279)).
% 216.11/215.78 thf(ax281, axiom, (p381|~(p383)), file('<stdin>', ax281)).
% 216.11/215.78 thf(ax283, axiom, (p379|~(p381)), file('<stdin>', ax283)).
% 216.11/215.78 thf(ax285, axiom, (p377|~(p379)), file('<stdin>', ax285)).
% 216.11/215.78 thf(ax287, axiom, (p375|~(p377)), file('<stdin>', ax287)).
% 216.11/215.78 thf(ax289, axiom, (p373|~(p375)), file('<stdin>', ax289)).
% 216.11/215.78 thf(ax291, axiom, (p371|~(p373)), file('<stdin>', ax291)).
% 216.11/215.78 thf(ax293, axiom, (p369|~(p371)), file('<stdin>', ax293)).
% 216.11/215.78 thf(ax295, axiom, (p367|~(p369)), file('<stdin>', ax295)).
% 216.11/215.78 thf(ax297, axiom, (p365|~(p367)), file('<stdin>', ax297)).
% 216.11/215.78 thf(ax299, axiom, (p363|~(p365)), file('<stdin>', ax299)).
% 216.11/215.78 thf(ax301, axiom, (p361|~(p363)), file('<stdin>', ax301)).
% 216.11/215.78 thf(ax303, axiom, (p359|~(p361)), file('<stdin>', ax303)).
% 216.11/215.78 thf(ax305, axiom, (p357|~(p359)), file('<stdin>', ax305)).
% 216.11/215.78 thf(ax307, axiom, (p355|~(p357)), file('<stdin>', ax307)).
% 216.11/215.78 thf(ax309, axiom, (p353|~(p355)), file('<stdin>', ax309)).
% 216.11/215.78 thf(ax311, axiom, (p351|~(p353)), file('<stdin>', ax311)).
% 216.11/215.78 thf(ax313, axiom, (p349|~(p351)), file('<stdin>', ax313)).
% 216.11/215.78 thf(ax315, axiom, (p347|~(p349)), file('<stdin>', ax315)).
% 216.11/215.78 thf(ax317, axiom, (p345|~(p347)), file('<stdin>', ax317)).
% 216.11/215.78 thf(ax481, axiom, (p184|~(p186)), file('<stdin>', ax481)).
% 216.11/215.78 thf(ax479, axiom, (p186|~(p188)), file('<stdin>', ax479)).
% 216.11/215.78 thf(ax319, axiom, (p343|~(p345)), file('<stdin>', ax319)).
% 216.11/215.78 thf(ax483, axiom, (p182|~(p184)), file('<stdin>', ax483)).
% 216.11/215.78 thf(ax321, axiom, (p341|~(p343)), file('<stdin>', ax321)).
% 216.11/215.78 thf(ax485, axiom, (p180|~(p182)), file('<stdin>', ax485)).
% 216.11/215.78 thf(ax323, axiom, (p339|~(p341)), file('<stdin>', ax323)).
% 216.11/215.78 thf(ax675, axiom, (p1|~(p3)), file('<stdin>', ax675)).
% 216.11/215.78 thf(ax677, axiom, ~(p1), file('<stdin>', ax677)).
% 216.11/215.78 thf(ax487, axiom, (p178|~(p180)), file('<stdin>', ax487)).
% 216.11/215.78 thf(ax415, axiom, (p249|~(p251)), file('<stdin>', ax415)).
% 216.11/215.78 thf(ax413, axiom, (p251|~(p253)), file('<stdin>', ax413)).
% 216.11/215.78 thf(ax325, axiom, (p337|~(p339)), file('<stdin>', ax325)).
% 216.11/215.78 thf(ax673, axiom, (p3|~(p5)), file('<stdin>', ax673)).
% 216.11/215.78 thf(ax489, axiom, (p176|~(p178)), file('<stdin>', ax489)).
% 216.11/215.78 thf(ax417, axiom, (p247|~(p249)), file('<stdin>', ax417)).
% 216.11/215.78 thf(ax327, axiom, (p335|~(p337)), file('<stdin>', ax327)).
% 216.11/215.78 thf(ax671, axiom, (p5|~(p7)), file('<stdin>', ax671)).
% 216.11/215.78 thf(ax491, axiom, (p174|~(p176)), file('<stdin>', ax491)).
% 216.11/215.78 thf(ax419, axiom, (p245|~(p247)), file('<stdin>', ax419)).
% 216.11/215.78 thf(ax329, axiom, (p333|~(p335)), file('<stdin>', ax329)).
% 216.11/215.78 thf(ax669, axiom, (p7|~(p9)), file('<stdin>', ax669)).
% 216.11/215.78 thf(ax493, axiom, (p172|~(p174)), file('<stdin>', ax493)).
% 216.11/215.78 thf(ax421, axiom, (p243|~(p245)), file('<stdin>', ax421)).
% 216.11/215.78 thf(ax331, axiom, (p331|~(p333)), file('<stdin>', ax331)).
% 216.11/215.78 thf(ax667, axiom, (p9|~(p11)), file('<stdin>', ax667)).
% 216.11/215.78 thf(ax495, axiom, (p170|~(p172)), file('<stdin>', ax495)).
% 216.11/215.78 thf(ax423, axiom, (p241|~(p243)), file('<stdin>', ax423)).
% 216.11/215.78 thf(ax333, axiom, (p329|~(p331)), file('<stdin>', ax333)).
% 216.11/215.78 thf(ax665, axiom, (p11|~(p13)), file('<stdin>', ax665)).
% 216.11/215.78 thf(ax497, axiom, (p168|~(p170)), file('<stdin>', ax497)).
% 216.11/215.78 thf(ax425, axiom, (p239|~(p241)), file('<stdin>', ax425)).
% 216.11/215.78 thf(ax335, axiom, (p327|~(p329)), file('<stdin>', ax335)).
% 216.11/215.78 thf(ax663, axiom, (p13|~(p15)), file('<stdin>', ax663)).
% 216.11/215.78 thf(ax499, axiom, (p166|~(p168)), file('<stdin>', ax499)).
% 216.11/215.78 thf(ax427, axiom, (p237|~(p239)), file('<stdin>', ax427)).
% 216.11/215.78 thf(ax337, axiom, (p325|~(p327)), file('<stdin>', ax337)).
% 216.11/215.78 thf(ax661, axiom, (p15|~(p17)), file('<stdin>', ax661)).
% 216.11/215.78 thf(ax501, axiom, (p164|~(p166)), file('<stdin>', ax501)).
% 216.11/215.78 thf(ax429, axiom, (p235|~(p237)), file('<stdin>', ax429)).
% 216.11/215.78 thf(ax339, axiom, (p323|~(p325)), file('<stdin>', ax339)).
% 216.11/215.78 thf(ax659, axiom, (p17|~(p19)), file('<stdin>', ax659)).
% 216.11/215.78 thf(ax503, axiom, (p162|~(p164)), file('<stdin>', ax503)).
% 216.11/215.78 thf(ax431, axiom, (p233|~(p235)), file('<stdin>', ax431)).
% 216.11/215.78 thf(ax341, axiom, (p321|~(p323)), file('<stdin>', ax341)).
% 216.11/215.78 thf(ax657, axiom, (p19|~(p21)), file('<stdin>', ax657)).
% 216.11/215.78 thf(ax505, axiom, (p160|~(p162)), file('<stdin>', ax505)).
% 216.11/215.78 thf(ax433, axiom, (p231|~(p233)), file('<stdin>', ax433)).
% 216.11/215.78 thf(ax343, axiom, (p319|~(p321)), file('<stdin>', ax343)).
% 216.11/215.78 thf(ax655, axiom, (p21|~(p23)), file('<stdin>', ax655)).
% 216.11/215.78 thf(ax507, axiom, (p158|~(p160)), file('<stdin>', ax507)).
% 216.11/215.78 thf(ax435, axiom, (p229|~(p231)), file('<stdin>', ax435)).
% 216.11/215.78 thf(ax345, axiom, (p317|~(p319)), file('<stdin>', ax345)).
% 216.11/215.78 thf(ax653, axiom, (p23|~(p25)), file('<stdin>', ax653)).
% 216.11/215.78 thf(ax509, axiom, (p156|~(p158)), file('<stdin>', ax509)).
% 216.11/215.78 thf(ax437, axiom, (p227|~(p229)), file('<stdin>', ax437)).
% 216.11/215.78 thf(ax347, axiom, (p315|~(p317)), file('<stdin>', ax347)).
% 216.11/215.78 thf(ax651, axiom, (p25|~(p27)), file('<stdin>', ax651)).
% 216.11/215.78 thf(ax511, axiom, (p154|~(p156)), file('<stdin>', ax511)).
% 216.11/215.78 thf(ax439, axiom, (p225|~(p227)), file('<stdin>', ax439)).
% 216.11/215.78 thf(ax349, axiom, (p313|~(p315)), file('<stdin>', ax349)).
% 216.11/215.78 thf(ax649, axiom, (p27|~(p29)), file('<stdin>', ax649)).
% 216.11/215.78 thf(ax513, axiom, (p152|~(p154)), file('<stdin>', ax513)).
% 216.11/215.78 thf(ax441, axiom, (p223|~(p225)), file('<stdin>', ax441)).
% 216.11/215.78 thf(ax351, axiom, (p311|~(p313)), file('<stdin>', ax351)).
% 216.11/215.78 thf(ax647, axiom, (p29|~(p31)), file('<stdin>', ax647)).
% 216.11/215.78 thf(ax515, axiom, (p150|~(p152)), file('<stdin>', ax515)).
% 216.11/215.78 thf(ax443, axiom, (p221|~(p223)), file('<stdin>', ax443)).
% 216.11/215.78 thf(ax353, axiom, (p309|~(p311)), file('<stdin>', ax353)).
% 216.11/215.78 thf(ax645, axiom, (p31|~(p33)), file('<stdin>', ax645)).
% 216.11/215.78 thf(ax535, axiom, (p132|~(p134)), file('<stdin>', ax535)).
% 216.11/215.78 thf(ax533, axiom, (p134|~(p136)), file('<stdin>', ax533)).
% 216.11/215.78 thf(ax523, axiom, (p143|~(p145)), file('<stdin>', ax523)).
% 216.11/215.78 thf(ax521, axiom, (p145|~(p147)), file('<stdin>', ax521)).
% 216.11/215.78 thf(ax517, axiom, (p148|~(p150)), file('<stdin>', ax517)).
% 216.11/215.78 thf(ax445, axiom, (p219|~(p221)), file('<stdin>', ax445)).
% 216.11/215.78 thf(ax355, axiom, (p307|~(p309)), file('<stdin>', ax355)).
% 216.11/215.78 thf(ax643, axiom, (p33|~(p35)), file('<stdin>', ax643)).
% 216.11/215.78 thf(ax537, axiom, (p130|~(p132)), file('<stdin>', ax537)).
% 216.11/215.78 thf(ax525, axiom, (p141|~(p143)), file('<stdin>', ax525)).
% 216.11/215.78 thf(ax519, axiom, (p147|~(p148)), file('<stdin>', ax519)).
% 216.11/215.78 thf(ax447, axiom, (p217|~(p219)), file('<stdin>', ax447)).
% 216.11/215.78 thf(ax357, axiom, (p305|~(p307)), file('<stdin>', ax357)).
% 216.11/215.78 thf(ax641, axiom, (p35|~(p37)), file('<stdin>', ax641)).
% 216.11/215.78 thf(ax539, axiom, (p128|~(p130)), file('<stdin>', ax539)).
% 216.11/215.78 thf(ax449, axiom, (p215|~(p217)), file('<stdin>', ax449)).
% 216.11/215.78 thf(ax359, axiom, (p303|~(p305)), file('<stdin>', ax359)).
% 216.11/215.78 thf(ax639, axiom, (p37|~(p38)), file('<stdin>', ax639)).
% 216.11/215.78 thf(ax541, axiom, (p126|~(p128)), file('<stdin>', ax541)).
% 216.11/215.78 thf(ax527, axiom, (p139|~(p141)), file('<stdin>', ax527)).
% 216.11/215.78 thf(ax451, axiom, (p213|~(p215)), file('<stdin>', ax451)).
% 216.11/215.78 thf(ax361, axiom, (p301|~(p303)), file('<stdin>', ax361)).
% 216.11/215.78 thf(ax637, axiom, (p38|~(p39)), file('<stdin>', ax637)).
% 216.11/215.78 thf(ax543, axiom, (p124|~(p126)), file('<stdin>', ax543)).
% 216.11/215.78 thf(ax529, axiom, (p137|~(p139)), file('<stdin>', ax529)).
% 216.11/215.78 thf(ax453, axiom, (p211|~(p213)), file('<stdin>', ax453)).
% 216.11/215.78 thf(ax363, axiom, (p299|~(p301)), file('<stdin>', ax363)).
% 216.11/215.78 thf(ax635, axiom, (p39|~(p41)), file('<stdin>', ax635)).
% 216.11/215.78 thf(ax545, axiom, (p122|~(p124)), file('<stdin>', ax545)).
% 216.11/215.78 thf(ax531, axiom, (p136|~(p137)), file('<stdin>', ax531)).
% 216.11/215.78 thf(ax455, axiom, (p209|~(p211)), file('<stdin>', ax455)).
% 216.11/215.78 thf(ax365, axiom, (p297|~(p299)), file('<stdin>', ax365)).
% 216.11/215.78 thf(ax633, axiom, (p41|~(p43)), file('<stdin>', ax633)).
% 216.11/215.78 thf(ax457, axiom, (p207|~(p209)), file('<stdin>', ax457)).
% 216.11/215.78 thf(ax367, axiom, (p295|~(p297)), file('<stdin>', ax367)).
% 216.11/215.78 thf(ax631, axiom, (p43|~(p45)), file('<stdin>', ax631)).
% 216.11/215.78 thf(ax547, axiom, (p120|~(p122)), file('<stdin>', ax547)).
% 216.11/215.78 thf(ax459, axiom, (p205|~(p207)), file('<stdin>', ax459)).
% 216.11/215.78 thf(ax369, axiom, (p293|~(p295)), file('<stdin>', ax369)).
% 216.11/215.78 thf(ax629, axiom, (p45|~(p46)), file('<stdin>', ax629)).
% 216.11/215.78 thf(ax549, axiom, (p118|~(p120)), file('<stdin>', ax549)).
% 216.11/215.78 thf(ax461, axiom, (p203|~(p205)), file('<stdin>', ax461)).
% 216.11/215.78 thf(ax371, axiom, (p291|~(p293)), file('<stdin>', ax371)).
% 216.11/215.78 thf(ax627, axiom, (p46|~(p48)), file('<stdin>', ax627)).
% 216.11/215.78 thf(ax551, axiom, (p116|~(p118)), file('<stdin>', ax551)).
% 216.11/215.78 thf(ax463, axiom, (p201|~(p203)), file('<stdin>', ax463)).
% 216.11/215.78 thf(ax373, axiom, (p289|~(p291)), file('<stdin>', ax373)).
% 216.11/215.78 thf(ax625, axiom, (p48|~(p50)), file('<stdin>', ax625)).
% 216.11/215.78 thf(ax563, axiom, (p106|~(p108)), file('<stdin>', ax563)).
% 216.11/215.78 thf(ax561, axiom, (p108|~(p110)), file('<stdin>', ax561)).
% 216.11/215.78 thf(ax553, axiom, (p114|~(p116)), file('<stdin>', ax553)).
% 216.11/215.78 thf(ax465, axiom, (p199|~(p201)), file('<stdin>', ax465)).
% 216.11/215.78 thf(ax399, axiom, (p264|~(p266)), file('<stdin>', ax399)).
% 216.11/215.78 thf(ax397, axiom, (p266|~(p268)), file('<stdin>', ax397)).
% 216.11/215.78 thf(ax375, axiom, (p287|~(p289)), file('<stdin>', ax375)).
% 216.11/215.78 thf(ax623, axiom, (p50|~(p52)), file('<stdin>', ax623)).
% 216.11/215.78 thf(ax565, axiom, (p105|~(p106)), file('<stdin>', ax565)).
% 216.11/215.78 thf(ax555, axiom, (p112|~(p114)), file('<stdin>', ax555)).
% 216.11/215.78 thf(ax467, axiom, (p197|~(p199)), file('<stdin>', ax467)).
% 216.11/215.78 thf(ax401, axiom, (p262|~(p264)), file('<stdin>', ax401)).
% 216.11/215.78 thf(ax377, axiom, (p285|~(p287)), file('<stdin>', ax377)).
% 216.11/215.78 thf(ax621, axiom, (p52|~(p54)), file('<stdin>', ax621)).
% 216.11/215.78 thf(ax569, axiom, (p102|~(p104)), file('<stdin>', ax569)).
% 216.11/215.78 thf(ax567, axiom, (p104|~(p105)), file('<stdin>', ax567)).
% 216.11/215.78 thf(ax559, axiom, (p110|~(p111)), file('<stdin>', ax559)).
% 216.11/215.78 thf(ax557, axiom, (p111|~(p112)), file('<stdin>', ax557)).
% 216.11/215.78 thf(ax469, axiom, (p195|~(p197)), file('<stdin>', ax469)).
% 216.11/215.78 thf(ax403, axiom, (p260|~(p262)), file('<stdin>', ax403)).
% 216.11/215.78 thf(ax379, axiom, (p283|~(p285)), file('<stdin>', ax379)).
% 216.11/215.78 thf(ax619, axiom, (p54|~(p56)), file('<stdin>', ax619)).
% 216.11/215.78 thf(ax571, axiom, (p100|~(p102)), file('<stdin>', ax571)).
% 216.11/215.78 thf(ax471, axiom, (p193|~(p195)), file('<stdin>', ax471)).
% 216.11/215.78 thf(ax405, axiom, (p258|~(p260)), file('<stdin>', ax405)).
% 216.11/215.78 thf(ax381, axiom, (p281|~(p283)), file('<stdin>', ax381)).
% 216.11/215.78 thf(ax617, axiom, (p56|~(p58)), file('<stdin>', ax617)).
% 216.11/215.78 thf(ax473, axiom, (p191|~(p193)), file('<stdin>', ax473)).
% 216.11/215.78 thf(ax407, axiom, (p256|~(p258)), file('<stdin>', ax407)).
% 216.11/215.78 thf(ax383, axiom, (p279|~(p281)), file('<stdin>', ax383)).
% 216.11/215.78 thf(ax615, axiom, (p58|~(p60)), file('<stdin>', ax615)).
% 216.11/215.78 thf(ax223, axiom, (p438|p439), file('<stdin>', ax223)).
% 216.11/215.78 thf(ax228, axiom, (p433|p434), file('<stdin>', ax228)).
% 216.11/215.78 thf(ax230, axiom, (p431|p432), file('<stdin>', ax230)).
% 216.11/215.78 thf(ax573, axiom, (p98|~(p100)), file('<stdin>', ax573)).
% 216.11/215.78 thf(ax475, axiom, (p189|~(p191)), file('<stdin>', ax475)).
% 216.11/215.78 thf(ax409, axiom, (p254|~(p256)), file('<stdin>', ax409)).
% 216.11/215.78 thf(ax385, axiom, (p277|~(p279)), file('<stdin>', ax385)).
% 216.11/215.78 thf(ax613, axiom, (p60|~(p62)), file('<stdin>', ax613)).
% 216.11/215.78 thf(ax575, axiom, (p96|~(p98)), file('<stdin>', ax575)).
% 216.11/215.78 thf(ax477, axiom, (p188|~(p189)), file('<stdin>', ax477)).
% 216.11/215.78 thf(ax411, axiom, (p253|~(p254)), file('<stdin>', ax411)).
% 216.11/215.78 thf(ax387, axiom, (p275|~(p277)), file('<stdin>', ax387)).
% 216.11/215.78 thf(ax611, axiom, (p62|~(p64)), file('<stdin>', ax611)).
% 216.11/215.78 thf(ax577, axiom, (p94|~(p96)), file('<stdin>', ax577)).
% 216.11/215.78 thf(ax389, axiom, (p273|~(p275)), file('<stdin>', ax389)).
% 216.11/215.78 thf(ax609, axiom, (p64|~(p66)), file('<stdin>', ax609)).
% 216.11/215.78 thf(ax391, axiom, (p271|~(p273)), file('<stdin>', ax391)).
% 216.11/215.78 thf(ax607, axiom, (p66|~(p68)), file('<stdin>', ax607)).
% 216.11/215.78 thf(ax579, axiom, (p92|~(p94)), file('<stdin>', ax579)).
% 216.11/215.78 thf(ax393, axiom, (p269|~(p271)), file('<stdin>', ax393)).
% 216.11/215.78 thf(ax605, axiom, (p68|~(p70)), file('<stdin>', ax605)).
% 216.11/215.78 thf(ax581, axiom, (p90|~(p92)), file('<stdin>', ax581)).
% 216.11/215.78 thf(ax395, axiom, (p268|~(p269)), file('<stdin>', ax395)).
% 216.11/215.78 thf(ax603, axiom, (p70|~(p71)), file('<stdin>', ax603)).
% 216.11/215.78 thf(ax601, axiom, (p71|~(p73)), file('<stdin>', ax601)).
% 216.11/215.78 thf(ax583, axiom, (p88|~(p90)), file('<stdin>', ax583)).
% 216.11/215.78 thf(ax599, axiom, (p73|~(p75)), file('<stdin>', ax599)).
% 216.11/215.78 thf(ax585, axiom, (p86|~(p88)), file('<stdin>', ax585)).
% 216.11/215.78 thf(ax597, axiom, (p75|~(p77)), file('<stdin>', ax597)).
% 216.11/215.78 thf(ax197, axiom, (~(p468)|p467), file('<stdin>', ax197)).
% 216.11/215.78 thf(ax587, axiom, (p84|~(p86)), file('<stdin>', ax587)).
% 216.11/215.78 thf(ax595, axiom, (p77|~(p79)), file('<stdin>', ax595)).
% 216.11/215.78 thf(ax181, axiom, (~(p467)|p482), file('<stdin>', ax181)).
% 216.11/215.78 thf(ax198, axiom, p468, file('<stdin>', ax198)).
% 216.11/215.78 thf(ax589, axiom, (p82|~(p84)), file('<stdin>', ax589)).
% 216.11/215.78 thf(ax593, axiom, (p79|~(p81)), file('<stdin>', ax593)).
% 216.11/215.78 thf(ax178, axiom, (~(p480)|~(p452)|~(p479)), file('<stdin>', ax178)).
% 216.11/215.78 thf(ax179, axiom, (~(p481)|p480), file('<stdin>', ax179)).
% 216.11/215.78 thf(ax180, axiom, (~(p482)|p443|p481), file('<stdin>', ax180)).
% 216.11/215.78 thf(ax177, axiom, (~(p467)|p486), file('<stdin>', ax177)).
% 216.11/215.78 thf(ax124, axiom, (~(p512)|p511), file('<stdin>', ax124)).
% 216.11/215.78 thf(ax123, axiom, (~(p432)|p512), file('<stdin>', ax123)).
% 216.11/215.78 thf(ax187, axiom, (~(p474)|p473), file('<stdin>', ax187)).
% 216.11/215.78 thf(ax186, axiom, (~(p434)|p474), file('<stdin>', ax186)).
% 216.11/215.78 thf(ax591, axiom, (p81|~(p82)), file('<stdin>', ax591)).
% 216.11/215.78 thf(ax111, axiom, (~(p520)|~(p458)|~(p519)), file('<stdin>', ax111)).
% 216.11/215.78 thf(ax112, axiom, (~(p485)|p520), file('<stdin>', ax112)).
% 216.11/215.78 thf(ax176, axiom, (~(p486)|p441|p485), file('<stdin>', ax176)).
% 216.11/215.78 thf(ax125, axiom, (~(p511)|p510), file('<stdin>', ax125)).
% 216.11/215.78 thf(ax188, axiom, (~(p473)|p472), file('<stdin>', ax188)).
% 216.11/215.78 thf(ax219, axiom, (p441|~(p443)), file('<stdin>', ax219)).
% 216.11/215.78 thf(pax59, axiom, (p59=>![X1:$i, X5:$i, X14:$i]:(fin @ X14 @ X5=>fin @ X14 @ (fsetadjoin @ X1 @ X5))), file('<stdin>', pax59)).
% 216.11/215.78 thf(ax616, axiom, (p58|p59), file('<stdin>', ax616)).
% 216.11/215.78 thf(pax55, axiom, (p55=>![X1:$i, X5:$i]:fin @ X1 @ (fsetadjoin @ X1 @ X5)), file('<stdin>', pax55)).
% 216.11/215.78 thf(ax620, axiom, (p54|p55), file('<stdin>', ax620)).
% 216.11/215.78 thf(ax126, axiom, (~(p510)|~(p439)|p509), file('<stdin>', ax126)).
% 216.11/215.78 thf(ax189, axiom, (~(p472)|~(p439)|p471), file('<stdin>', ax189)).
% 216.11/215.78 thf(ax191, axiom, (~(p470)|~(p442)|p469), file('<stdin>', ax191)).
% 216.11/215.78 thf(ax220, axiom, (p441|p442), file('<stdin>', ax220)).
% 216.11/215.78 thf(ax128, axiom, (~(p508)|~(p442)|p507), file('<stdin>', ax128)).
% 216.11/215.78 thf(nax479, axiom, (p479<=fin @ f__3 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset))), file('<stdin>', nax479)).
% 216.11/215.78 thf(nax519, axiom, (p519<=(fin @ f__3 @ f__0=>fin @ f__2 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset)))), file('<stdin>', nax519)).
% 216.11/215.78 thf(ax127, axiom, (~(p509)|p508), file('<stdin>', ax127)).
% 216.11/215.78 thf(ax190, axiom, (~(p471)|p470), file('<stdin>', ax190)).
% 216.11/215.78 thf(ax192, axiom, (~(p469)|p463|p452), file('<stdin>', ax192)).
% 216.11/215.78 thf(ax129, axiom, (~(p507)|~(p463)|p458), file('<stdin>', ax129)).
% 216.11/215.78 thf(c_0_266, plain, (p436|~p437), inference(fof_simplification,[status(thm)],[ax225])).
% 216.11/215.78 thf(c_0_267, plain, (p437|~p438), inference(fof_simplification,[status(thm)],[ax224])).
% 216.11/215.78 thf(c_0_268, plain, (p435|~p436), inference(fof_simplification,[status(thm)],[ax226])).
% 216.11/215.78 thf(c_0_269, plain, (p436|~p437), inference(split_conjunct,[status(thm)],[c_0_266])).
% 216.11/215.78 thf(c_0_270, plain, (p437|~p438), inference(split_conjunct,[status(thm)],[c_0_267])).
% 216.11/215.78 thf(c_0_271, plain, (p433|~p435), inference(fof_simplification,[status(thm)],[ax227])).
% 216.11/215.78 thf(c_0_272, plain, (p435|~p436), inference(split_conjunct,[status(thm)],[c_0_268])).
% 216.11/215.78 thf(c_0_273, plain, (p436|~p438), inference(spm,[status(thm)],[c_0_269, c_0_270])).
% 216.11/215.78 thf(c_0_274, plain, (p438|~p440), inference(fof_simplification,[status(thm)],[ax222])).
% 216.11/215.78 thf(c_0_275, plain, (p440|~p441), inference(fof_simplification,[status(thm)],[ax221])).
% 216.11/215.78 thf(c_0_276, plain, (p433|~p435), inference(split_conjunct,[status(thm)],[c_0_271])).
% 216.11/215.78 thf(c_0_277, plain, (p435|~p438), inference(spm,[status(thm)],[c_0_272, c_0_273])).
% 216.11/215.78 thf(c_0_278, plain, (p438|~p440), inference(split_conjunct,[status(thm)],[c_0_274])).
% 216.11/215.78 thf(c_0_279, plain, (p440|~p441), inference(split_conjunct,[status(thm)],[c_0_275])).
% 216.11/215.78 thf(c_0_280, plain, (p431|~p433), inference(fof_simplification,[status(thm)],[ax229])).
% 216.11/215.78 thf(c_0_281, plain, (p433|~p438), inference(spm,[status(thm)],[c_0_276, c_0_277])).
% 216.11/215.78 thf(c_0_282, plain, (p438|~p441), inference(spm,[status(thm)],[c_0_278, c_0_279])).
% 216.11/215.78 thf(c_0_283, plain, (p429|~p431), inference(fof_simplification,[status(thm)],[ax231])).
% 216.11/215.78 thf(c_0_284, plain, (p431|~p433), inference(split_conjunct,[status(thm)],[c_0_280])).
% 216.11/215.78 thf(c_0_285, plain, (p433|~p441), inference(spm,[status(thm)],[c_0_281, c_0_282])).
% 216.11/215.78 thf(c_0_286, plain, (p427|~p429), inference(fof_simplification,[status(thm)],[ax233])).
% 216.11/215.78 thf(c_0_287, plain, (p429|~p431), inference(split_conjunct,[status(thm)],[c_0_283])).
% 216.11/215.78 thf(c_0_288, plain, (p431|~p441), inference(spm,[status(thm)],[c_0_284, c_0_285])).
% 216.11/215.78 thf(c_0_289, plain, (p425|~p427), inference(fof_simplification,[status(thm)],[ax235])).
% 216.11/215.78 thf(c_0_290, plain, (p427|~p429), inference(split_conjunct,[status(thm)],[c_0_286])).
% 216.11/215.78 thf(c_0_291, plain, (p429|~p441), inference(spm,[status(thm)],[c_0_287, c_0_288])).
% 216.11/215.78 thf(c_0_292, plain, (p423|~p425), inference(fof_simplification,[status(thm)],[ax237])).
% 216.11/215.78 thf(c_0_293, plain, (p425|~p427), inference(split_conjunct,[status(thm)],[c_0_289])).
% 216.11/215.78 thf(c_0_294, plain, (p427|~p441), inference(spm,[status(thm)],[c_0_290, c_0_291])).
% 216.11/215.78 thf(c_0_295, plain, (p421|~p423), inference(fof_simplification,[status(thm)],[ax239])).
% 216.11/215.78 thf(c_0_296, plain, (p423|~p425), inference(split_conjunct,[status(thm)],[c_0_292])).
% 216.11/215.78 thf(c_0_297, plain, (p425|~p441), inference(spm,[status(thm)],[c_0_293, c_0_294])).
% 216.11/215.78 thf(c_0_298, plain, (p419|~p421), inference(fof_simplification,[status(thm)],[ax241])).
% 216.11/215.78 thf(c_0_299, plain, (p421|~p423), inference(split_conjunct,[status(thm)],[c_0_295])).
% 216.11/215.78 thf(c_0_300, plain, (p423|~p441), inference(spm,[status(thm)],[c_0_296, c_0_297])).
% 216.11/215.78 thf(c_0_301, plain, (p417|~p419), inference(fof_simplification,[status(thm)],[ax243])).
% 216.11/215.78 thf(c_0_302, plain, (p419|~p421), inference(split_conjunct,[status(thm)],[c_0_298])).
% 216.11/215.78 thf(c_0_303, plain, (p421|~p441), inference(spm,[status(thm)],[c_0_299, c_0_300])).
% 216.11/215.78 thf(c_0_304, plain, (p410|~p412), inference(fof_simplification,[status(thm)],[ax251])).
% 216.11/215.78 thf(c_0_305, plain, (p412|~p414), inference(fof_simplification,[status(thm)],[ax249])).
% 216.11/215.78 thf(c_0_306, plain, (p415|~p417), inference(fof_simplification,[status(thm)],[ax245])).
% 216.11/215.78 thf(c_0_307, plain, (p417|~p419), inference(split_conjunct,[status(thm)],[c_0_301])).
% 216.11/215.78 thf(c_0_308, plain, (p419|~p441), inference(spm,[status(thm)],[c_0_302, c_0_303])).
% 216.11/215.78 thf(c_0_309, plain, (p408|~p410), inference(fof_simplification,[status(thm)],[ax253])).
% 216.11/215.78 thf(c_0_310, plain, (p410|~p412), inference(split_conjunct,[status(thm)],[c_0_304])).
% 216.11/215.78 thf(c_0_311, plain, (p412|~p414), inference(split_conjunct,[status(thm)],[c_0_305])).
% 216.11/215.78 thf(c_0_312, plain, (p414|~p415), inference(fof_simplification,[status(thm)],[ax247])).
% 216.11/215.78 thf(c_0_313, plain, (p415|~p417), inference(split_conjunct,[status(thm)],[c_0_306])).
% 216.11/215.78 thf(c_0_314, plain, (p417|~p441), inference(spm,[status(thm)],[c_0_307, c_0_308])).
% 216.11/215.78 thf(c_0_315, plain, (p408|~p410), inference(split_conjunct,[status(thm)],[c_0_309])).
% 216.11/215.78 thf(c_0_316, plain, (p410|~p414), inference(spm,[status(thm)],[c_0_310, c_0_311])).
% 216.11/215.78 thf(c_0_317, plain, (p414|~p415), inference(split_conjunct,[status(thm)],[c_0_312])).
% 216.11/215.78 thf(c_0_318, plain, (p415|~p441), inference(spm,[status(thm)],[c_0_313, c_0_314])).
% 216.11/215.78 thf(c_0_319, plain, (p406|~p408), inference(fof_simplification,[status(thm)],[ax255])).
% 216.11/215.78 thf(c_0_320, plain, (p408|~p414), inference(spm,[status(thm)],[c_0_315, c_0_316])).
% 216.11/215.78 thf(c_0_321, plain, (p414|~p441), inference(spm,[status(thm)],[c_0_317, c_0_318])).
% 216.11/215.78 thf(c_0_322, plain, (p404|~p406), inference(fof_simplification,[status(thm)],[ax257])).
% 216.11/215.78 thf(c_0_323, plain, (p406|~p408), inference(split_conjunct,[status(thm)],[c_0_319])).
% 216.11/215.78 thf(c_0_324, plain, (p408|~p441), inference(spm,[status(thm)],[c_0_320, c_0_321])).
% 216.11/215.78 thf(c_0_325, plain, (p402|~p404), inference(fof_simplification,[status(thm)],[ax259])).
% 216.11/215.78 thf(c_0_326, plain, (p404|~p406), inference(split_conjunct,[status(thm)],[c_0_322])).
% 216.11/215.78 thf(c_0_327, plain, (p406|~p441), inference(spm,[status(thm)],[c_0_323, c_0_324])).
% 216.11/215.78 thf(c_0_328, plain, (p400|~p402), inference(fof_simplification,[status(thm)],[ax261])).
% 216.11/215.78 thf(c_0_329, plain, (p402|~p404), inference(split_conjunct,[status(thm)],[c_0_325])).
% 216.11/215.78 thf(c_0_330, plain, (p404|~p441), inference(spm,[status(thm)],[c_0_326, c_0_327])).
% 216.11/215.78 thf(c_0_331, plain, (p398|~p400), inference(fof_simplification,[status(thm)],[ax263])).
% 216.11/215.78 thf(c_0_332, plain, (p400|~p402), inference(split_conjunct,[status(thm)],[c_0_328])).
% 216.11/215.78 thf(c_0_333, plain, (p402|~p441), inference(spm,[status(thm)],[c_0_329, c_0_330])).
% 216.11/215.78 thf(c_0_334, plain, (p396|~p398), inference(fof_simplification,[status(thm)],[ax265])).
% 216.11/215.78 thf(c_0_335, plain, (p398|~p400), inference(split_conjunct,[status(thm)],[c_0_331])).
% 216.11/215.78 thf(c_0_336, plain, (p400|~p441), inference(spm,[status(thm)],[c_0_332, c_0_333])).
% 216.11/215.78 thf(c_0_337, plain, (p394|~p396), inference(fof_simplification,[status(thm)],[ax267])).
% 216.11/215.78 thf(c_0_338, plain, (p396|~p398), inference(split_conjunct,[status(thm)],[c_0_334])).
% 216.11/215.78 thf(c_0_339, plain, (p398|~p441), inference(spm,[status(thm)],[c_0_335, c_0_336])).
% 216.11/215.78 thf(c_0_340, plain, (p392|~p394), inference(fof_simplification,[status(thm)],[ax269])).
% 216.11/215.78 thf(c_0_341, plain, (p394|~p396), inference(split_conjunct,[status(thm)],[c_0_337])).
% 216.11/215.78 thf(c_0_342, plain, (p396|~p441), inference(spm,[status(thm)],[c_0_338, c_0_339])).
% 216.11/215.78 thf(c_0_343, plain, (p390|~p392), inference(fof_simplification,[status(thm)],[ax271])).
% 216.11/215.78 thf(c_0_344, plain, (p392|~p394), inference(split_conjunct,[status(thm)],[c_0_340])).
% 216.11/215.78 thf(c_0_345, plain, (p394|~p441), inference(spm,[status(thm)],[c_0_341, c_0_342])).
% 216.11/215.78 thf(c_0_346, plain, (p388|~p390), inference(fof_simplification,[status(thm)],[ax273])).
% 216.11/215.78 thf(c_0_347, plain, (p390|~p392), inference(split_conjunct,[status(thm)],[c_0_343])).
% 216.11/215.78 thf(c_0_348, plain, (p392|~p441), inference(spm,[status(thm)],[c_0_344, c_0_345])).
% 216.11/215.78 thf(c_0_349, plain, (p386|~p388), inference(fof_simplification,[status(thm)],[ax275])).
% 216.11/215.78 thf(c_0_350, plain, (p388|~p390), inference(split_conjunct,[status(thm)],[c_0_346])).
% 216.11/215.78 thf(c_0_351, plain, (p390|~p441), inference(spm,[status(thm)],[c_0_347, c_0_348])).
% 216.11/215.78 thf(c_0_352, plain, (p384|~p386), inference(fof_simplification,[status(thm)],[ax277])).
% 216.11/215.78 thf(c_0_353, plain, (p386|~p388), inference(split_conjunct,[status(thm)],[c_0_349])).
% 216.11/215.78 thf(c_0_354, plain, (p388|~p441), inference(spm,[status(thm)],[c_0_350, c_0_351])).
% 216.11/215.78 thf(c_0_355, plain, (p383|~p384), inference(fof_simplification,[status(thm)],[ax279])).
% 216.11/215.78 thf(c_0_356, plain, (p384|~p386), inference(split_conjunct,[status(thm)],[c_0_352])).
% 216.11/215.78 thf(c_0_357, plain, (p386|~p441), inference(spm,[status(thm)],[c_0_353, c_0_354])).
% 216.11/215.78 thf(c_0_358, plain, (p381|~p383), inference(fof_simplification,[status(thm)],[ax281])).
% 216.11/215.78 thf(c_0_359, plain, (p383|~p384), inference(split_conjunct,[status(thm)],[c_0_355])).
% 216.11/215.78 thf(c_0_360, plain, (p384|~p441), inference(spm,[status(thm)],[c_0_356, c_0_357])).
% 216.11/215.78 thf(c_0_361, plain, (p379|~p381), inference(fof_simplification,[status(thm)],[ax283])).
% 216.11/215.78 thf(c_0_362, plain, (p381|~p383), inference(split_conjunct,[status(thm)],[c_0_358])).
% 216.11/215.78 thf(c_0_363, plain, (p383|~p441), inference(spm,[status(thm)],[c_0_359, c_0_360])).
% 216.11/215.78 thf(c_0_364, plain, (p377|~p379), inference(fof_simplification,[status(thm)],[ax285])).
% 216.11/215.78 thf(c_0_365, plain, (p379|~p381), inference(split_conjunct,[status(thm)],[c_0_361])).
% 216.11/215.78 thf(c_0_366, plain, (p381|~p441), inference(spm,[status(thm)],[c_0_362, c_0_363])).
% 216.11/215.78 thf(c_0_367, plain, (p375|~p377), inference(fof_simplification,[status(thm)],[ax287])).
% 216.11/215.78 thf(c_0_368, plain, (p377|~p379), inference(split_conjunct,[status(thm)],[c_0_364])).
% 216.11/215.78 thf(c_0_369, plain, (p379|~p441), inference(spm,[status(thm)],[c_0_365, c_0_366])).
% 216.11/215.78 thf(c_0_370, plain, (p373|~p375), inference(fof_simplification,[status(thm)],[ax289])).
% 216.11/215.78 thf(c_0_371, plain, (p375|~p377), inference(split_conjunct,[status(thm)],[c_0_367])).
% 216.11/215.78 thf(c_0_372, plain, (p377|~p441), inference(spm,[status(thm)],[c_0_368, c_0_369])).
% 216.11/215.78 thf(c_0_373, plain, (p371|~p373), inference(fof_simplification,[status(thm)],[ax291])).
% 216.11/215.78 thf(c_0_374, plain, (p373|~p375), inference(split_conjunct,[status(thm)],[c_0_370])).
% 216.11/215.78 thf(c_0_375, plain, (p375|~p441), inference(spm,[status(thm)],[c_0_371, c_0_372])).
% 216.11/215.78 thf(c_0_376, plain, (p369|~p371), inference(fof_simplification,[status(thm)],[ax293])).
% 216.11/215.78 thf(c_0_377, plain, (p371|~p373), inference(split_conjunct,[status(thm)],[c_0_373])).
% 216.11/215.78 thf(c_0_378, plain, (p373|~p441), inference(spm,[status(thm)],[c_0_374, c_0_375])).
% 216.11/215.78 thf(c_0_379, plain, (p367|~p369), inference(fof_simplification,[status(thm)],[ax295])).
% 216.11/215.78 thf(c_0_380, plain, (p369|~p371), inference(split_conjunct,[status(thm)],[c_0_376])).
% 216.11/215.78 thf(c_0_381, plain, (p371|~p441), inference(spm,[status(thm)],[c_0_377, c_0_378])).
% 216.11/215.78 thf(c_0_382, plain, (p365|~p367), inference(fof_simplification,[status(thm)],[ax297])).
% 216.11/215.78 thf(c_0_383, plain, (p367|~p369), inference(split_conjunct,[status(thm)],[c_0_379])).
% 216.11/215.78 thf(c_0_384, plain, (p369|~p441), inference(spm,[status(thm)],[c_0_380, c_0_381])).
% 216.11/215.78 thf(c_0_385, plain, (p363|~p365), inference(fof_simplification,[status(thm)],[ax299])).
% 216.11/215.78 thf(c_0_386, plain, (p365|~p367), inference(split_conjunct,[status(thm)],[c_0_382])).
% 216.11/215.78 thf(c_0_387, plain, (p367|~p441), inference(spm,[status(thm)],[c_0_383, c_0_384])).
% 216.11/215.78 thf(c_0_388, plain, (p361|~p363), inference(fof_simplification,[status(thm)],[ax301])).
% 216.11/215.78 thf(c_0_389, plain, (p363|~p365), inference(split_conjunct,[status(thm)],[c_0_385])).
% 216.11/215.78 thf(c_0_390, plain, (p365|~p441), inference(spm,[status(thm)],[c_0_386, c_0_387])).
% 216.11/215.78 thf(c_0_391, plain, (p359|~p361), inference(fof_simplification,[status(thm)],[ax303])).
% 216.11/215.78 thf(c_0_392, plain, (p361|~p363), inference(split_conjunct,[status(thm)],[c_0_388])).
% 216.11/215.78 thf(c_0_393, plain, (p363|~p441), inference(spm,[status(thm)],[c_0_389, c_0_390])).
% 216.11/215.78 thf(c_0_394, plain, (p357|~p359), inference(fof_simplification,[status(thm)],[ax305])).
% 216.11/215.78 thf(c_0_395, plain, (p359|~p361), inference(split_conjunct,[status(thm)],[c_0_391])).
% 216.11/215.78 thf(c_0_396, plain, (p361|~p441), inference(spm,[status(thm)],[c_0_392, c_0_393])).
% 216.11/215.78 thf(c_0_397, plain, (p355|~p357), inference(fof_simplification,[status(thm)],[ax307])).
% 216.11/215.78 thf(c_0_398, plain, (p357|~p359), inference(split_conjunct,[status(thm)],[c_0_394])).
% 216.11/215.78 thf(c_0_399, plain, (p359|~p441), inference(spm,[status(thm)],[c_0_395, c_0_396])).
% 216.11/215.78 thf(c_0_400, plain, (p353|~p355), inference(fof_simplification,[status(thm)],[ax309])).
% 216.11/215.78 thf(c_0_401, plain, (p355|~p357), inference(split_conjunct,[status(thm)],[c_0_397])).
% 216.11/215.78 thf(c_0_402, plain, (p357|~p441), inference(spm,[status(thm)],[c_0_398, c_0_399])).
% 216.11/215.78 thf(c_0_403, plain, (p351|~p353), inference(fof_simplification,[status(thm)],[ax311])).
% 216.11/215.78 thf(c_0_404, plain, (p353|~p355), inference(split_conjunct,[status(thm)],[c_0_400])).
% 216.11/215.78 thf(c_0_405, plain, (p355|~p441), inference(spm,[status(thm)],[c_0_401, c_0_402])).
% 216.11/215.78 thf(c_0_406, plain, (p349|~p351), inference(fof_simplification,[status(thm)],[ax313])).
% 216.11/215.78 thf(c_0_407, plain, (p351|~p353), inference(split_conjunct,[status(thm)],[c_0_403])).
% 216.11/215.78 thf(c_0_408, plain, (p353|~p441), inference(spm,[status(thm)],[c_0_404, c_0_405])).
% 216.11/215.78 thf(c_0_409, plain, (p347|~p349), inference(fof_simplification,[status(thm)],[ax315])).
% 216.11/215.78 thf(c_0_410, plain, (p349|~p351), inference(split_conjunct,[status(thm)],[c_0_406])).
% 216.11/215.78 thf(c_0_411, plain, (p351|~p441), inference(spm,[status(thm)],[c_0_407, c_0_408])).
% 216.11/215.78 thf(c_0_412, plain, (p345|~p347), inference(fof_simplification,[status(thm)],[ax317])).
% 216.11/215.78 thf(c_0_413, plain, (p347|~p349), inference(split_conjunct,[status(thm)],[c_0_409])).
% 216.11/215.78 thf(c_0_414, plain, (p349|~p441), inference(spm,[status(thm)],[c_0_410, c_0_411])).
% 216.11/215.78 thf(c_0_415, plain, (p184|~p186), inference(fof_simplification,[status(thm)],[ax481])).
% 216.11/215.78 thf(c_0_416, plain, (p186|~p188), inference(fof_simplification,[status(thm)],[ax479])).
% 216.11/215.78 thf(c_0_417, plain, (p343|~p345), inference(fof_simplification,[status(thm)],[ax319])).
% 216.11/215.78 thf(c_0_418, plain, (p345|~p347), inference(split_conjunct,[status(thm)],[c_0_412])).
% 216.11/215.78 thf(c_0_419, plain, (p347|~p441), inference(spm,[status(thm)],[c_0_413, c_0_414])).
% 216.11/215.78 thf(c_0_420, plain, (p182|~p184), inference(fof_simplification,[status(thm)],[ax483])).
% 216.11/215.78 thf(c_0_421, plain, (p184|~p186), inference(split_conjunct,[status(thm)],[c_0_415])).
% 216.11/215.78 thf(c_0_422, plain, (p186|~p188), inference(split_conjunct,[status(thm)],[c_0_416])).
% 216.11/215.78 thf(c_0_423, plain, (p341|~p343), inference(fof_simplification,[status(thm)],[ax321])).
% 216.11/215.78 thf(c_0_424, plain, (p343|~p345), inference(split_conjunct,[status(thm)],[c_0_417])).
% 216.11/215.78 thf(c_0_425, plain, (p345|~p441), inference(spm,[status(thm)],[c_0_418, c_0_419])).
% 216.11/215.78 thf(c_0_426, plain, (p180|~p182), inference(fof_simplification,[status(thm)],[ax485])).
% 216.11/215.78 thf(c_0_427, plain, (p182|~p184), inference(split_conjunct,[status(thm)],[c_0_420])).
% 216.11/215.78 thf(c_0_428, plain, (p184|~p188), inference(spm,[status(thm)],[c_0_421, c_0_422])).
% 216.11/215.78 thf(c_0_429, plain, (p339|~p341), inference(fof_simplification,[status(thm)],[ax323])).
% 216.11/215.78 thf(c_0_430, plain, (p341|~p343), inference(split_conjunct,[status(thm)],[c_0_423])).
% 216.11/215.78 thf(c_0_431, plain, (p343|~p441), inference(spm,[status(thm)],[c_0_424, c_0_425])).
% 216.11/215.78 thf(c_0_432, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax675])).
% 216.11/215.78 thf(c_0_433, plain, ~p1, inference(fof_simplification,[status(thm)],[ax677])).
% 216.11/215.78 thf(c_0_434, plain, (p178|~p180), inference(fof_simplification,[status(thm)],[ax487])).
% 216.11/215.78 thf(c_0_435, plain, (p180|~p182), inference(split_conjunct,[status(thm)],[c_0_426])).
% 216.11/215.78 thf(c_0_436, plain, (p182|~p188), inference(spm,[status(thm)],[c_0_427, c_0_428])).
% 216.11/215.78 thf(c_0_437, plain, (p249|~p251), inference(fof_simplification,[status(thm)],[ax415])).
% 216.11/215.78 thf(c_0_438, plain, (p251|~p253), inference(fof_simplification,[status(thm)],[ax413])).
% 216.11/215.78 thf(c_0_439, plain, (p337|~p339), inference(fof_simplification,[status(thm)],[ax325])).
% 216.11/215.78 thf(c_0_440, plain, (p339|~p341), inference(split_conjunct,[status(thm)],[c_0_429])).
% 216.11/215.78 thf(c_0_441, plain, (p341|~p441), inference(spm,[status(thm)],[c_0_430, c_0_431])).
% 216.11/215.78 thf(c_0_442, plain, (p3|~p5), inference(fof_simplification,[status(thm)],[ax673])).
% 216.11/215.78 thf(c_0_443, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_432])).
% 216.11/215.78 thf(c_0_444, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_433])).
% 216.11/215.78 thf(c_0_445, plain, (p176|~p178), inference(fof_simplification,[status(thm)],[ax489])).
% 216.11/215.78 thf(c_0_446, plain, (p178|~p180), inference(split_conjunct,[status(thm)],[c_0_434])).
% 216.11/215.78 thf(c_0_447, plain, (p180|~p188), inference(spm,[status(thm)],[c_0_435, c_0_436])).
% 216.11/215.78 thf(c_0_448, plain, (p247|~p249), inference(fof_simplification,[status(thm)],[ax417])).
% 216.11/215.78 thf(c_0_449, plain, (p249|~p251), inference(split_conjunct,[status(thm)],[c_0_437])).
% 216.11/215.78 thf(c_0_450, plain, (p251|~p253), inference(split_conjunct,[status(thm)],[c_0_438])).
% 216.11/215.78 thf(c_0_451, plain, (p335|~p337), inference(fof_simplification,[status(thm)],[ax327])).
% 216.11/215.78 thf(c_0_452, plain, (p337|~p339), inference(split_conjunct,[status(thm)],[c_0_439])).
% 216.11/215.78 thf(c_0_453, plain, (p339|~p441), inference(spm,[status(thm)],[c_0_440, c_0_441])).
% 216.11/215.78 thf(c_0_454, plain, (p5|~p7), inference(fof_simplification,[status(thm)],[ax671])).
% 216.11/215.78 thf(c_0_455, plain, (p3|~p5), inference(split_conjunct,[status(thm)],[c_0_442])).
% 216.11/215.78 thf(c_0_456, plain, ~p3, inference(sr,[status(thm)],[c_0_443, c_0_444])).
% 216.11/215.78 thf(c_0_457, plain, (p174|~p176), inference(fof_simplification,[status(thm)],[ax491])).
% 216.11/215.78 thf(c_0_458, plain, (p176|~p178), inference(split_conjunct,[status(thm)],[c_0_445])).
% 216.11/215.78 thf(c_0_459, plain, (p178|~p188), inference(spm,[status(thm)],[c_0_446, c_0_447])).
% 216.11/215.78 thf(c_0_460, plain, (p245|~p247), inference(fof_simplification,[status(thm)],[ax419])).
% 216.11/215.78 thf(c_0_461, plain, (p247|~p249), inference(split_conjunct,[status(thm)],[c_0_448])).
% 216.11/215.78 thf(c_0_462, plain, (p249|~p253), inference(spm,[status(thm)],[c_0_449, c_0_450])).
% 216.11/215.78 thf(c_0_463, plain, (p333|~p335), inference(fof_simplification,[status(thm)],[ax329])).
% 216.11/215.78 thf(c_0_464, plain, (p335|~p337), inference(split_conjunct,[status(thm)],[c_0_451])).
% 216.11/215.78 thf(c_0_465, plain, (p337|~p441), inference(spm,[status(thm)],[c_0_452, c_0_453])).
% 216.11/215.78 thf(c_0_466, plain, (p7|~p9), inference(fof_simplification,[status(thm)],[ax669])).
% 216.11/215.78 thf(c_0_467, plain, (p5|~p7), inference(split_conjunct,[status(thm)],[c_0_454])).
% 216.11/215.78 thf(c_0_468, plain, ~p5, inference(sr,[status(thm)],[c_0_455, c_0_456])).
% 216.11/215.78 thf(c_0_469, plain, (p172|~p174), inference(fof_simplification,[status(thm)],[ax493])).
% 216.11/215.78 thf(c_0_470, plain, (p174|~p176), inference(split_conjunct,[status(thm)],[c_0_457])).
% 216.11/215.78 thf(c_0_471, plain, (p176|~p188), inference(spm,[status(thm)],[c_0_458, c_0_459])).
% 216.11/215.78 thf(c_0_472, plain, (p243|~p245), inference(fof_simplification,[status(thm)],[ax421])).
% 216.11/215.78 thf(c_0_473, plain, (p245|~p247), inference(split_conjunct,[status(thm)],[c_0_460])).
% 216.11/215.78 thf(c_0_474, plain, (p247|~p253), inference(spm,[status(thm)],[c_0_461, c_0_462])).
% 216.11/215.78 thf(c_0_475, plain, (p331|~p333), inference(fof_simplification,[status(thm)],[ax331])).
% 216.11/215.78 thf(c_0_476, plain, (p333|~p335), inference(split_conjunct,[status(thm)],[c_0_463])).
% 216.11/215.78 thf(c_0_477, plain, (p335|~p441), inference(spm,[status(thm)],[c_0_464, c_0_465])).
% 216.11/215.78 thf(c_0_478, plain, (p9|~p11), inference(fof_simplification,[status(thm)],[ax667])).
% 216.11/215.78 thf(c_0_479, plain, (p7|~p9), inference(split_conjunct,[status(thm)],[c_0_466])).
% 216.11/215.78 thf(c_0_480, plain, ~p7, inference(sr,[status(thm)],[c_0_467, c_0_468])).
% 216.11/215.78 thf(c_0_481, plain, (p170|~p172), inference(fof_simplification,[status(thm)],[ax495])).
% 216.11/215.78 thf(c_0_482, plain, (p172|~p174), inference(split_conjunct,[status(thm)],[c_0_469])).
% 216.11/215.78 thf(c_0_483, plain, (p174|~p188), inference(spm,[status(thm)],[c_0_470, c_0_471])).
% 216.11/215.78 thf(c_0_484, plain, (p241|~p243), inference(fof_simplification,[status(thm)],[ax423])).
% 216.11/215.78 thf(c_0_485, plain, (p243|~p245), inference(split_conjunct,[status(thm)],[c_0_472])).
% 216.11/215.78 thf(c_0_486, plain, (p245|~p253), inference(spm,[status(thm)],[c_0_473, c_0_474])).
% 216.11/215.78 thf(c_0_487, plain, (p329|~p331), inference(fof_simplification,[status(thm)],[ax333])).
% 216.11/215.78 thf(c_0_488, plain, (p331|~p333), inference(split_conjunct,[status(thm)],[c_0_475])).
% 216.11/215.78 thf(c_0_489, plain, (p333|~p441), inference(spm,[status(thm)],[c_0_476, c_0_477])).
% 216.11/215.78 thf(c_0_490, plain, (p11|~p13), inference(fof_simplification,[status(thm)],[ax665])).
% 216.11/215.78 thf(c_0_491, plain, (p9|~p11), inference(split_conjunct,[status(thm)],[c_0_478])).
% 216.11/215.78 thf(c_0_492, plain, ~p9, inference(sr,[status(thm)],[c_0_479, c_0_480])).
% 216.11/215.78 thf(c_0_493, plain, (p168|~p170), inference(fof_simplification,[status(thm)],[ax497])).
% 216.11/215.78 thf(c_0_494, plain, (p170|~p172), inference(split_conjunct,[status(thm)],[c_0_481])).
% 216.11/215.78 thf(c_0_495, plain, (p172|~p188), inference(spm,[status(thm)],[c_0_482, c_0_483])).
% 216.11/215.78 thf(c_0_496, plain, (p239|~p241), inference(fof_simplification,[status(thm)],[ax425])).
% 216.11/215.78 thf(c_0_497, plain, (p241|~p243), inference(split_conjunct,[status(thm)],[c_0_484])).
% 216.11/215.78 thf(c_0_498, plain, (p243|~p253), inference(spm,[status(thm)],[c_0_485, c_0_486])).
% 216.11/215.78 thf(c_0_499, plain, (p327|~p329), inference(fof_simplification,[status(thm)],[ax335])).
% 216.11/215.78 thf(c_0_500, plain, (p329|~p331), inference(split_conjunct,[status(thm)],[c_0_487])).
% 216.11/215.78 thf(c_0_501, plain, (p331|~p441), inference(spm,[status(thm)],[c_0_488, c_0_489])).
% 216.11/215.78 thf(c_0_502, plain, (p13|~p15), inference(fof_simplification,[status(thm)],[ax663])).
% 216.11/215.78 thf(c_0_503, plain, (p11|~p13), inference(split_conjunct,[status(thm)],[c_0_490])).
% 216.11/215.78 thf(c_0_504, plain, ~p11, inference(sr,[status(thm)],[c_0_491, c_0_492])).
% 216.11/215.78 thf(c_0_505, plain, (p166|~p168), inference(fof_simplification,[status(thm)],[ax499])).
% 216.11/215.78 thf(c_0_506, plain, (p168|~p170), inference(split_conjunct,[status(thm)],[c_0_493])).
% 216.11/215.78 thf(c_0_507, plain, (p170|~p188), inference(spm,[status(thm)],[c_0_494, c_0_495])).
% 216.11/215.78 thf(c_0_508, plain, (p237|~p239), inference(fof_simplification,[status(thm)],[ax427])).
% 216.11/215.78 thf(c_0_509, plain, (p239|~p241), inference(split_conjunct,[status(thm)],[c_0_496])).
% 216.11/215.78 thf(c_0_510, plain, (p241|~p253), inference(spm,[status(thm)],[c_0_497, c_0_498])).
% 216.11/215.78 thf(c_0_511, plain, (p325|~p327), inference(fof_simplification,[status(thm)],[ax337])).
% 216.11/215.78 thf(c_0_512, plain, (p327|~p329), inference(split_conjunct,[status(thm)],[c_0_499])).
% 216.11/215.78 thf(c_0_513, plain, (p329|~p441), inference(spm,[status(thm)],[c_0_500, c_0_501])).
% 216.11/215.78 thf(c_0_514, plain, (p15|~p17), inference(fof_simplification,[status(thm)],[ax661])).
% 216.11/215.78 thf(c_0_515, plain, (p13|~p15), inference(split_conjunct,[status(thm)],[c_0_502])).
% 216.11/215.78 thf(c_0_516, plain, ~p13, inference(sr,[status(thm)],[c_0_503, c_0_504])).
% 216.11/215.78 thf(c_0_517, plain, (p164|~p166), inference(fof_simplification,[status(thm)],[ax501])).
% 216.11/215.78 thf(c_0_518, plain, (p166|~p168), inference(split_conjunct,[status(thm)],[c_0_505])).
% 216.11/215.78 thf(c_0_519, plain, (p168|~p188), inference(spm,[status(thm)],[c_0_506, c_0_507])).
% 216.11/215.78 thf(c_0_520, plain, (p235|~p237), inference(fof_simplification,[status(thm)],[ax429])).
% 216.11/215.78 thf(c_0_521, plain, (p237|~p239), inference(split_conjunct,[status(thm)],[c_0_508])).
% 216.11/215.78 thf(c_0_522, plain, (p239|~p253), inference(spm,[status(thm)],[c_0_509, c_0_510])).
% 216.11/215.78 thf(c_0_523, plain, (p323|~p325), inference(fof_simplification,[status(thm)],[ax339])).
% 216.11/215.78 thf(c_0_524, plain, (p325|~p327), inference(split_conjunct,[status(thm)],[c_0_511])).
% 216.11/215.78 thf(c_0_525, plain, (p327|~p441), inference(spm,[status(thm)],[c_0_512, c_0_513])).
% 216.11/215.78 thf(c_0_526, plain, (p17|~p19), inference(fof_simplification,[status(thm)],[ax659])).
% 216.11/215.78 thf(c_0_527, plain, (p15|~p17), inference(split_conjunct,[status(thm)],[c_0_514])).
% 216.11/215.78 thf(c_0_528, plain, ~p15, inference(sr,[status(thm)],[c_0_515, c_0_516])).
% 216.11/215.78 thf(c_0_529, plain, (p162|~p164), inference(fof_simplification,[status(thm)],[ax503])).
% 216.11/215.78 thf(c_0_530, plain, (p164|~p166), inference(split_conjunct,[status(thm)],[c_0_517])).
% 216.11/215.78 thf(c_0_531, plain, (p166|~p188), inference(spm,[status(thm)],[c_0_518, c_0_519])).
% 216.11/215.78 thf(c_0_532, plain, (p233|~p235), inference(fof_simplification,[status(thm)],[ax431])).
% 216.11/215.78 thf(c_0_533, plain, (p235|~p237), inference(split_conjunct,[status(thm)],[c_0_520])).
% 216.11/215.78 thf(c_0_534, plain, (p237|~p253), inference(spm,[status(thm)],[c_0_521, c_0_522])).
% 216.11/215.78 thf(c_0_535, plain, (p321|~p323), inference(fof_simplification,[status(thm)],[ax341])).
% 216.11/215.78 thf(c_0_536, plain, (p323|~p325), inference(split_conjunct,[status(thm)],[c_0_523])).
% 216.11/215.78 thf(c_0_537, plain, (p325|~p441), inference(spm,[status(thm)],[c_0_524, c_0_525])).
% 216.11/215.78 thf(c_0_538, plain, (p19|~p21), inference(fof_simplification,[status(thm)],[ax657])).
% 216.11/215.78 thf(c_0_539, plain, (p17|~p19), inference(split_conjunct,[status(thm)],[c_0_526])).
% 216.11/215.78 thf(c_0_540, plain, ~p17, inference(sr,[status(thm)],[c_0_527, c_0_528])).
% 216.11/215.78 thf(c_0_541, plain, (p160|~p162), inference(fof_simplification,[status(thm)],[ax505])).
% 216.11/215.78 thf(c_0_542, plain, (p162|~p164), inference(split_conjunct,[status(thm)],[c_0_529])).
% 216.11/215.78 thf(c_0_543, plain, (p164|~p188), inference(spm,[status(thm)],[c_0_530, c_0_531])).
% 216.11/215.78 thf(c_0_544, plain, (p231|~p233), inference(fof_simplification,[status(thm)],[ax433])).
% 216.11/215.78 thf(c_0_545, plain, (p233|~p235), inference(split_conjunct,[status(thm)],[c_0_532])).
% 216.11/215.78 thf(c_0_546, plain, (p235|~p253), inference(spm,[status(thm)],[c_0_533, c_0_534])).
% 216.11/215.78 thf(c_0_547, plain, (p319|~p321), inference(fof_simplification,[status(thm)],[ax343])).
% 216.11/215.78 thf(c_0_548, plain, (p321|~p323), inference(split_conjunct,[status(thm)],[c_0_535])).
% 216.11/215.78 thf(c_0_549, plain, (p323|~p441), inference(spm,[status(thm)],[c_0_536, c_0_537])).
% 216.11/215.78 thf(c_0_550, plain, (p21|~p23), inference(fof_simplification,[status(thm)],[ax655])).
% 216.11/215.78 thf(c_0_551, plain, (p19|~p21), inference(split_conjunct,[status(thm)],[c_0_538])).
% 216.11/215.78 thf(c_0_552, plain, ~p19, inference(sr,[status(thm)],[c_0_539, c_0_540])).
% 216.11/215.78 thf(c_0_553, plain, (p158|~p160), inference(fof_simplification,[status(thm)],[ax507])).
% 216.11/215.78 thf(c_0_554, plain, (p160|~p162), inference(split_conjunct,[status(thm)],[c_0_541])).
% 216.11/215.78 thf(c_0_555, plain, (p162|~p188), inference(spm,[status(thm)],[c_0_542, c_0_543])).
% 216.11/215.78 thf(c_0_556, plain, (p229|~p231), inference(fof_simplification,[status(thm)],[ax435])).
% 216.11/215.78 thf(c_0_557, plain, (p231|~p233), inference(split_conjunct,[status(thm)],[c_0_544])).
% 216.11/215.78 thf(c_0_558, plain, (p233|~p253), inference(spm,[status(thm)],[c_0_545, c_0_546])).
% 216.11/215.78 thf(c_0_559, plain, (p317|~p319), inference(fof_simplification,[status(thm)],[ax345])).
% 216.11/215.78 thf(c_0_560, plain, (p319|~p321), inference(split_conjunct,[status(thm)],[c_0_547])).
% 216.11/215.78 thf(c_0_561, plain, (p321|~p441), inference(spm,[status(thm)],[c_0_548, c_0_549])).
% 216.11/215.78 thf(c_0_562, plain, (p23|~p25), inference(fof_simplification,[status(thm)],[ax653])).
% 216.11/215.78 thf(c_0_563, plain, (p21|~p23), inference(split_conjunct,[status(thm)],[c_0_550])).
% 216.11/215.78 thf(c_0_564, plain, ~p21, inference(sr,[status(thm)],[c_0_551, c_0_552])).
% 216.11/215.78 thf(c_0_565, plain, (p156|~p158), inference(fof_simplification,[status(thm)],[ax509])).
% 216.11/215.78 thf(c_0_566, plain, (p158|~p160), inference(split_conjunct,[status(thm)],[c_0_553])).
% 216.11/215.78 thf(c_0_567, plain, (p160|~p188), inference(spm,[status(thm)],[c_0_554, c_0_555])).
% 216.11/215.78 thf(c_0_568, plain, (p227|~p229), inference(fof_simplification,[status(thm)],[ax437])).
% 216.11/215.78 thf(c_0_569, plain, (p229|~p231), inference(split_conjunct,[status(thm)],[c_0_556])).
% 216.11/215.78 thf(c_0_570, plain, (p231|~p253), inference(spm,[status(thm)],[c_0_557, c_0_558])).
% 216.11/215.78 thf(c_0_571, plain, (p315|~p317), inference(fof_simplification,[status(thm)],[ax347])).
% 216.11/215.78 thf(c_0_572, plain, (p317|~p319), inference(split_conjunct,[status(thm)],[c_0_559])).
% 216.11/215.78 thf(c_0_573, plain, (p319|~p441), inference(spm,[status(thm)],[c_0_560, c_0_561])).
% 216.11/215.78 thf(c_0_574, plain, (p25|~p27), inference(fof_simplification,[status(thm)],[ax651])).
% 216.11/215.78 thf(c_0_575, plain, (p23|~p25), inference(split_conjunct,[status(thm)],[c_0_562])).
% 216.11/215.78 thf(c_0_576, plain, ~p23, inference(sr,[status(thm)],[c_0_563, c_0_564])).
% 216.11/215.78 thf(c_0_577, plain, (p154|~p156), inference(fof_simplification,[status(thm)],[ax511])).
% 216.11/215.78 thf(c_0_578, plain, (p156|~p158), inference(split_conjunct,[status(thm)],[c_0_565])).
% 216.11/215.78 thf(c_0_579, plain, (p158|~p188), inference(spm,[status(thm)],[c_0_566, c_0_567])).
% 216.11/215.78 thf(c_0_580, plain, (p225|~p227), inference(fof_simplification,[status(thm)],[ax439])).
% 216.11/215.78 thf(c_0_581, plain, (p227|~p229), inference(split_conjunct,[status(thm)],[c_0_568])).
% 216.11/215.78 thf(c_0_582, plain, (p229|~p253), inference(spm,[status(thm)],[c_0_569, c_0_570])).
% 216.11/215.78 thf(c_0_583, plain, (p313|~p315), inference(fof_simplification,[status(thm)],[ax349])).
% 216.11/215.78 thf(c_0_584, plain, (p315|~p317), inference(split_conjunct,[status(thm)],[c_0_571])).
% 216.11/215.78 thf(c_0_585, plain, (p317|~p441), inference(spm,[status(thm)],[c_0_572, c_0_573])).
% 216.11/215.78 thf(c_0_586, plain, (p27|~p29), inference(fof_simplification,[status(thm)],[ax649])).
% 216.11/215.78 thf(c_0_587, plain, (p25|~p27), inference(split_conjunct,[status(thm)],[c_0_574])).
% 216.11/215.78 thf(c_0_588, plain, ~p25, inference(sr,[status(thm)],[c_0_575, c_0_576])).
% 216.11/215.78 thf(c_0_589, plain, (p152|~p154), inference(fof_simplification,[status(thm)],[ax513])).
% 216.11/215.78 thf(c_0_590, plain, (p154|~p156), inference(split_conjunct,[status(thm)],[c_0_577])).
% 216.11/215.78 thf(c_0_591, plain, (p156|~p188), inference(spm,[status(thm)],[c_0_578, c_0_579])).
% 216.11/215.78 thf(c_0_592, plain, (p223|~p225), inference(fof_simplification,[status(thm)],[ax441])).
% 216.11/215.78 thf(c_0_593, plain, (p225|~p227), inference(split_conjunct,[status(thm)],[c_0_580])).
% 216.11/215.78 thf(c_0_594, plain, (p227|~p253), inference(spm,[status(thm)],[c_0_581, c_0_582])).
% 216.11/215.78 thf(c_0_595, plain, (p311|~p313), inference(fof_simplification,[status(thm)],[ax351])).
% 216.11/215.78 thf(c_0_596, plain, (p313|~p315), inference(split_conjunct,[status(thm)],[c_0_583])).
% 216.11/215.78 thf(c_0_597, plain, (p315|~p441), inference(spm,[status(thm)],[c_0_584, c_0_585])).
% 216.11/215.78 thf(c_0_598, plain, (p29|~p31), inference(fof_simplification,[status(thm)],[ax647])).
% 216.11/215.78 thf(c_0_599, plain, (p27|~p29), inference(split_conjunct,[status(thm)],[c_0_586])).
% 216.11/215.78 thf(c_0_600, plain, ~p27, inference(sr,[status(thm)],[c_0_587, c_0_588])).
% 216.11/215.78 thf(c_0_601, plain, (p150|~p152), inference(fof_simplification,[status(thm)],[ax515])).
% 216.11/215.78 thf(c_0_602, plain, (p152|~p154), inference(split_conjunct,[status(thm)],[c_0_589])).
% 216.11/215.78 thf(c_0_603, plain, (p154|~p188), inference(spm,[status(thm)],[c_0_590, c_0_591])).
% 216.11/215.78 thf(c_0_604, plain, (p221|~p223), inference(fof_simplification,[status(thm)],[ax443])).
% 216.11/215.78 thf(c_0_605, plain, (p223|~p225), inference(split_conjunct,[status(thm)],[c_0_592])).
% 216.11/215.78 thf(c_0_606, plain, (p225|~p253), inference(spm,[status(thm)],[c_0_593, c_0_594])).
% 216.11/215.78 thf(c_0_607, plain, (p309|~p311), inference(fof_simplification,[status(thm)],[ax353])).
% 216.11/215.78 thf(c_0_608, plain, (p311|~p313), inference(split_conjunct,[status(thm)],[c_0_595])).
% 216.11/215.78 thf(c_0_609, plain, (p313|~p441), inference(spm,[status(thm)],[c_0_596, c_0_597])).
% 216.11/215.78 thf(c_0_610, plain, (p31|~p33), inference(fof_simplification,[status(thm)],[ax645])).
% 216.11/215.78 thf(c_0_611, plain, (p29|~p31), inference(split_conjunct,[status(thm)],[c_0_598])).
% 216.11/215.78 thf(c_0_612, plain, ~p29, inference(sr,[status(thm)],[c_0_599, c_0_600])).
% 216.11/215.78 thf(c_0_613, plain, (p132|~p134), inference(fof_simplification,[status(thm)],[ax535])).
% 216.11/215.78 thf(c_0_614, plain, (p134|~p136), inference(fof_simplification,[status(thm)],[ax533])).
% 216.11/215.78 thf(c_0_615, plain, (p143|~p145), inference(fof_simplification,[status(thm)],[ax523])).
% 216.11/215.78 thf(c_0_616, plain, (p145|~p147), inference(fof_simplification,[status(thm)],[ax521])).
% 216.11/215.78 thf(c_0_617, plain, (p148|~p150), inference(fof_simplification,[status(thm)],[ax517])).
% 216.11/215.78 thf(c_0_618, plain, (p150|~p152), inference(split_conjunct,[status(thm)],[c_0_601])).
% 216.11/215.78 thf(c_0_619, plain, (p152|~p188), inference(spm,[status(thm)],[c_0_602, c_0_603])).
% 216.11/215.78 thf(c_0_620, plain, (p219|~p221), inference(fof_simplification,[status(thm)],[ax445])).
% 216.11/215.78 thf(c_0_621, plain, (p221|~p223), inference(split_conjunct,[status(thm)],[c_0_604])).
% 216.11/215.78 thf(c_0_622, plain, (p223|~p253), inference(spm,[status(thm)],[c_0_605, c_0_606])).
% 216.11/215.78 thf(c_0_623, plain, (p307|~p309), inference(fof_simplification,[status(thm)],[ax355])).
% 216.11/215.78 thf(c_0_624, plain, (p309|~p311), inference(split_conjunct,[status(thm)],[c_0_607])).
% 216.11/215.78 thf(c_0_625, plain, (p311|~p441), inference(spm,[status(thm)],[c_0_608, c_0_609])).
% 216.11/215.78 thf(c_0_626, plain, (p33|~p35), inference(fof_simplification,[status(thm)],[ax643])).
% 216.11/215.78 thf(c_0_627, plain, (p31|~p33), inference(split_conjunct,[status(thm)],[c_0_610])).
% 216.11/215.78 thf(c_0_628, plain, ~p31, inference(sr,[status(thm)],[c_0_611, c_0_612])).
% 216.11/215.78 thf(c_0_629, plain, (p130|~p132), inference(fof_simplification,[status(thm)],[ax537])).
% 216.11/215.78 thf(c_0_630, plain, (p132|~p134), inference(split_conjunct,[status(thm)],[c_0_613])).
% 216.11/215.78 thf(c_0_631, plain, (p134|~p136), inference(split_conjunct,[status(thm)],[c_0_614])).
% 216.11/215.78 thf(c_0_632, plain, (p141|~p143), inference(fof_simplification,[status(thm)],[ax525])).
% 216.11/215.78 thf(c_0_633, plain, (p143|~p145), inference(split_conjunct,[status(thm)],[c_0_615])).
% 216.11/215.78 thf(c_0_634, plain, (p145|~p147), inference(split_conjunct,[status(thm)],[c_0_616])).
% 216.11/215.78 thf(c_0_635, plain, (p147|~p148), inference(fof_simplification,[status(thm)],[ax519])).
% 216.11/215.78 thf(c_0_636, plain, (p148|~p150), inference(split_conjunct,[status(thm)],[c_0_617])).
% 216.11/215.78 thf(c_0_637, plain, (p150|~p188), inference(spm,[status(thm)],[c_0_618, c_0_619])).
% 216.11/215.78 thf(c_0_638, plain, (p217|~p219), inference(fof_simplification,[status(thm)],[ax447])).
% 216.11/215.78 thf(c_0_639, plain, (p219|~p221), inference(split_conjunct,[status(thm)],[c_0_620])).
% 216.11/215.78 thf(c_0_640, plain, (p221|~p253), inference(spm,[status(thm)],[c_0_621, c_0_622])).
% 216.11/215.78 thf(c_0_641, plain, (p305|~p307), inference(fof_simplification,[status(thm)],[ax357])).
% 216.11/215.78 thf(c_0_642, plain, (p307|~p309), inference(split_conjunct,[status(thm)],[c_0_623])).
% 216.11/215.78 thf(c_0_643, plain, (p309|~p441), inference(spm,[status(thm)],[c_0_624, c_0_625])).
% 216.11/215.78 thf(c_0_644, plain, (p35|~p37), inference(fof_simplification,[status(thm)],[ax641])).
% 216.11/215.78 thf(c_0_645, plain, (p33|~p35), inference(split_conjunct,[status(thm)],[c_0_626])).
% 216.11/215.78 thf(c_0_646, plain, ~p33, inference(sr,[status(thm)],[c_0_627, c_0_628])).
% 216.11/215.78 thf(c_0_647, plain, (p128|~p130), inference(fof_simplification,[status(thm)],[ax539])).
% 216.11/215.78 thf(c_0_648, plain, (p130|~p132), inference(split_conjunct,[status(thm)],[c_0_629])).
% 216.11/215.78 thf(c_0_649, plain, (p132|~p136), inference(spm,[status(thm)],[c_0_630, c_0_631])).
% 216.11/215.78 thf(c_0_650, plain, (p141|~p143), inference(split_conjunct,[status(thm)],[c_0_632])).
% 216.11/215.78 thf(c_0_651, plain, (p143|~p147), inference(spm,[status(thm)],[c_0_633, c_0_634])).
% 216.11/215.78 thf(c_0_652, plain, (p147|~p148), inference(split_conjunct,[status(thm)],[c_0_635])).
% 216.11/215.78 thf(c_0_653, plain, (p148|~p188), inference(spm,[status(thm)],[c_0_636, c_0_637])).
% 216.11/215.78 thf(c_0_654, plain, (p215|~p217), inference(fof_simplification,[status(thm)],[ax449])).
% 216.11/215.78 thf(c_0_655, plain, (p217|~p219), inference(split_conjunct,[status(thm)],[c_0_638])).
% 216.11/215.78 thf(c_0_656, plain, (p219|~p253), inference(spm,[status(thm)],[c_0_639, c_0_640])).
% 216.11/215.78 thf(c_0_657, plain, (p303|~p305), inference(fof_simplification,[status(thm)],[ax359])).
% 216.11/215.78 thf(c_0_658, plain, (p305|~p307), inference(split_conjunct,[status(thm)],[c_0_641])).
% 216.11/215.78 thf(c_0_659, plain, (p307|~p441), inference(spm,[status(thm)],[c_0_642, c_0_643])).
% 216.11/215.78 thf(c_0_660, plain, (p37|~p38), inference(fof_simplification,[status(thm)],[ax639])).
% 216.11/215.78 thf(c_0_661, plain, (p35|~p37), inference(split_conjunct,[status(thm)],[c_0_644])).
% 216.11/215.78 thf(c_0_662, plain, ~p35, inference(sr,[status(thm)],[c_0_645, c_0_646])).
% 216.11/215.78 thf(c_0_663, plain, (p126|~p128), inference(fof_simplification,[status(thm)],[ax541])).
% 216.11/215.78 thf(c_0_664, plain, (p128|~p130), inference(split_conjunct,[status(thm)],[c_0_647])).
% 216.11/215.78 thf(c_0_665, plain, (p130|~p136), inference(spm,[status(thm)],[c_0_648, c_0_649])).
% 216.11/215.78 thf(c_0_666, plain, (p139|~p141), inference(fof_simplification,[status(thm)],[ax527])).
% 216.11/215.78 thf(c_0_667, plain, (p141|~p147), inference(spm,[status(thm)],[c_0_650, c_0_651])).
% 216.11/215.78 thf(c_0_668, plain, (p147|~p188), inference(spm,[status(thm)],[c_0_652, c_0_653])).
% 216.11/215.78 thf(c_0_669, plain, (p213|~p215), inference(fof_simplification,[status(thm)],[ax451])).
% 216.11/215.78 thf(c_0_670, plain, (p215|~p217), inference(split_conjunct,[status(thm)],[c_0_654])).
% 216.11/215.78 thf(c_0_671, plain, (p217|~p253), inference(spm,[status(thm)],[c_0_655, c_0_656])).
% 216.11/215.78 thf(c_0_672, plain, (p301|~p303), inference(fof_simplification,[status(thm)],[ax361])).
% 216.11/215.78 thf(c_0_673, plain, (p303|~p305), inference(split_conjunct,[status(thm)],[c_0_657])).
% 216.11/215.78 thf(c_0_674, plain, (p305|~p441), inference(spm,[status(thm)],[c_0_658, c_0_659])).
% 216.11/215.78 thf(c_0_675, plain, (p38|~p39), inference(fof_simplification,[status(thm)],[ax637])).
% 216.11/215.78 thf(c_0_676, plain, (p37|~p38), inference(split_conjunct,[status(thm)],[c_0_660])).
% 216.11/215.78 thf(c_0_677, plain, ~p37, inference(sr,[status(thm)],[c_0_661, c_0_662])).
% 216.11/215.78 thf(c_0_678, plain, (p124|~p126), inference(fof_simplification,[status(thm)],[ax543])).
% 216.11/215.78 thf(c_0_679, plain, (p126|~p128), inference(split_conjunct,[status(thm)],[c_0_663])).
% 216.11/215.78 thf(c_0_680, plain, (p128|~p136), inference(spm,[status(thm)],[c_0_664, c_0_665])).
% 216.11/215.78 thf(c_0_681, plain, (p137|~p139), inference(fof_simplification,[status(thm)],[ax529])).
% 216.11/215.78 thf(c_0_682, plain, (p139|~p141), inference(split_conjunct,[status(thm)],[c_0_666])).
% 216.11/215.78 thf(c_0_683, plain, (p141|~p188), inference(spm,[status(thm)],[c_0_667, c_0_668])).
% 216.11/215.78 thf(c_0_684, plain, (p211|~p213), inference(fof_simplification,[status(thm)],[ax453])).
% 216.11/215.78 thf(c_0_685, plain, (p213|~p215), inference(split_conjunct,[status(thm)],[c_0_669])).
% 216.11/215.78 thf(c_0_686, plain, (p215|~p253), inference(spm,[status(thm)],[c_0_670, c_0_671])).
% 216.11/215.78 thf(c_0_687, plain, (p299|~p301), inference(fof_simplification,[status(thm)],[ax363])).
% 216.11/215.78 thf(c_0_688, plain, (p301|~p303), inference(split_conjunct,[status(thm)],[c_0_672])).
% 216.11/215.78 thf(c_0_689, plain, (p303|~p441), inference(spm,[status(thm)],[c_0_673, c_0_674])).
% 216.11/215.78 thf(c_0_690, plain, (p39|~p41), inference(fof_simplification,[status(thm)],[ax635])).
% 216.11/215.78 thf(c_0_691, plain, (p38|~p39), inference(split_conjunct,[status(thm)],[c_0_675])).
% 216.11/215.78 thf(c_0_692, plain, ~p38, inference(sr,[status(thm)],[c_0_676, c_0_677])).
% 216.11/215.78 thf(c_0_693, plain, (p122|~p124), inference(fof_simplification,[status(thm)],[ax545])).
% 216.11/215.78 thf(c_0_694, plain, (p124|~p126), inference(split_conjunct,[status(thm)],[c_0_678])).
% 216.11/215.78 thf(c_0_695, plain, (p126|~p136), inference(spm,[status(thm)],[c_0_679, c_0_680])).
% 216.11/215.78 thf(c_0_696, plain, (p136|~p137), inference(fof_simplification,[status(thm)],[ax531])).
% 216.11/215.78 thf(c_0_697, plain, (p137|~p139), inference(split_conjunct,[status(thm)],[c_0_681])).
% 216.11/215.78 thf(c_0_698, plain, (p139|~p188), inference(spm,[status(thm)],[c_0_682, c_0_683])).
% 216.11/215.78 thf(c_0_699, plain, (p209|~p211), inference(fof_simplification,[status(thm)],[ax455])).
% 216.11/215.78 thf(c_0_700, plain, (p211|~p213), inference(split_conjunct,[status(thm)],[c_0_684])).
% 216.11/215.78 thf(c_0_701, plain, (p213|~p253), inference(spm,[status(thm)],[c_0_685, c_0_686])).
% 216.11/215.78 thf(c_0_702, plain, (p297|~p299), inference(fof_simplification,[status(thm)],[ax365])).
% 216.11/215.78 thf(c_0_703, plain, (p299|~p301), inference(split_conjunct,[status(thm)],[c_0_687])).
% 216.11/215.78 thf(c_0_704, plain, (p301|~p441), inference(spm,[status(thm)],[c_0_688, c_0_689])).
% 216.11/215.78 thf(c_0_705, plain, (p41|~p43), inference(fof_simplification,[status(thm)],[ax633])).
% 216.11/215.78 thf(c_0_706, plain, (p39|~p41), inference(split_conjunct,[status(thm)],[c_0_690])).
% 216.11/215.78 thf(c_0_707, plain, ~p39, inference(sr,[status(thm)],[c_0_691, c_0_692])).
% 216.11/215.78 thf(c_0_708, plain, (p122|~p124), inference(split_conjunct,[status(thm)],[c_0_693])).
% 216.11/215.78 thf(c_0_709, plain, (p124|~p136), inference(spm,[status(thm)],[c_0_694, c_0_695])).
% 216.11/215.78 thf(c_0_710, plain, (p136|~p137), inference(split_conjunct,[status(thm)],[c_0_696])).
% 216.11/215.78 thf(c_0_711, plain, (p137|~p188), inference(spm,[status(thm)],[c_0_697, c_0_698])).
% 216.11/215.78 thf(c_0_712, plain, (p207|~p209), inference(fof_simplification,[status(thm)],[ax457])).
% 216.11/215.78 thf(c_0_713, plain, (p209|~p211), inference(split_conjunct,[status(thm)],[c_0_699])).
% 216.11/215.78 thf(c_0_714, plain, (p211|~p253), inference(spm,[status(thm)],[c_0_700, c_0_701])).
% 216.11/215.78 thf(c_0_715, plain, (p295|~p297), inference(fof_simplification,[status(thm)],[ax367])).
% 216.11/215.78 thf(c_0_716, plain, (p297|~p299), inference(split_conjunct,[status(thm)],[c_0_702])).
% 216.11/215.78 thf(c_0_717, plain, (p299|~p441), inference(spm,[status(thm)],[c_0_703, c_0_704])).
% 216.11/215.78 thf(c_0_718, plain, (p43|~p45), inference(fof_simplification,[status(thm)],[ax631])).
% 216.11/215.78 thf(c_0_719, plain, (p41|~p43), inference(split_conjunct,[status(thm)],[c_0_705])).
% 216.11/215.78 thf(c_0_720, plain, ~p41, inference(sr,[status(thm)],[c_0_706, c_0_707])).
% 216.11/215.78 thf(c_0_721, plain, (p120|~p122), inference(fof_simplification,[status(thm)],[ax547])).
% 216.11/215.78 thf(c_0_722, plain, (p122|~p136), inference(spm,[status(thm)],[c_0_708, c_0_709])).
% 216.11/215.78 thf(c_0_723, plain, (p136|~p188), inference(spm,[status(thm)],[c_0_710, c_0_711])).
% 216.11/215.78 thf(c_0_724, plain, (p205|~p207), inference(fof_simplification,[status(thm)],[ax459])).
% 216.11/215.78 thf(c_0_725, plain, (p207|~p209), inference(split_conjunct,[status(thm)],[c_0_712])).
% 216.11/215.78 thf(c_0_726, plain, (p209|~p253), inference(spm,[status(thm)],[c_0_713, c_0_714])).
% 216.11/215.78 thf(c_0_727, plain, (p293|~p295), inference(fof_simplification,[status(thm)],[ax369])).
% 216.11/215.78 thf(c_0_728, plain, (p295|~p297), inference(split_conjunct,[status(thm)],[c_0_715])).
% 216.11/215.78 thf(c_0_729, plain, (p297|~p441), inference(spm,[status(thm)],[c_0_716, c_0_717])).
% 216.11/215.78 thf(c_0_730, plain, (p45|~p46), inference(fof_simplification,[status(thm)],[ax629])).
% 216.11/215.78 thf(c_0_731, plain, (p43|~p45), inference(split_conjunct,[status(thm)],[c_0_718])).
% 216.11/215.78 thf(c_0_732, plain, ~p43, inference(sr,[status(thm)],[c_0_719, c_0_720])).
% 216.11/215.78 thf(c_0_733, plain, (p118|~p120), inference(fof_simplification,[status(thm)],[ax549])).
% 216.11/215.78 thf(c_0_734, plain, (p120|~p122), inference(split_conjunct,[status(thm)],[c_0_721])).
% 216.11/215.78 thf(c_0_735, plain, (p122|~p188), inference(spm,[status(thm)],[c_0_722, c_0_723])).
% 216.11/215.78 thf(c_0_736, plain, (p203|~p205), inference(fof_simplification,[status(thm)],[ax461])).
% 216.11/215.78 thf(c_0_737, plain, (p205|~p207), inference(split_conjunct,[status(thm)],[c_0_724])).
% 216.11/215.78 thf(c_0_738, plain, (p207|~p253), inference(spm,[status(thm)],[c_0_725, c_0_726])).
% 216.11/215.78 thf(c_0_739, plain, (p291|~p293), inference(fof_simplification,[status(thm)],[ax371])).
% 216.11/215.78 thf(c_0_740, plain, (p293|~p295), inference(split_conjunct,[status(thm)],[c_0_727])).
% 216.11/215.78 thf(c_0_741, plain, (p295|~p441), inference(spm,[status(thm)],[c_0_728, c_0_729])).
% 216.11/215.78 thf(c_0_742, plain, (p46|~p48), inference(fof_simplification,[status(thm)],[ax627])).
% 216.11/215.78 thf(c_0_743, plain, (p45|~p46), inference(split_conjunct,[status(thm)],[c_0_730])).
% 216.11/215.78 thf(c_0_744, plain, ~p45, inference(sr,[status(thm)],[c_0_731, c_0_732])).
% 216.11/215.78 thf(c_0_745, plain, (p116|~p118), inference(fof_simplification,[status(thm)],[ax551])).
% 216.11/215.78 thf(c_0_746, plain, (p118|~p120), inference(split_conjunct,[status(thm)],[c_0_733])).
% 216.11/215.78 thf(c_0_747, plain, (p120|~p188), inference(spm,[status(thm)],[c_0_734, c_0_735])).
% 216.11/215.78 thf(c_0_748, plain, (p201|~p203), inference(fof_simplification,[status(thm)],[ax463])).
% 216.11/215.78 thf(c_0_749, plain, (p203|~p205), inference(split_conjunct,[status(thm)],[c_0_736])).
% 216.11/215.78 thf(c_0_750, plain, (p205|~p253), inference(spm,[status(thm)],[c_0_737, c_0_738])).
% 216.11/215.78 thf(c_0_751, plain, (p289|~p291), inference(fof_simplification,[status(thm)],[ax373])).
% 216.11/215.78 thf(c_0_752, plain, (p291|~p293), inference(split_conjunct,[status(thm)],[c_0_739])).
% 216.11/215.78 thf(c_0_753, plain, (p293|~p441), inference(spm,[status(thm)],[c_0_740, c_0_741])).
% 216.11/215.78 thf(c_0_754, plain, (p48|~p50), inference(fof_simplification,[status(thm)],[ax625])).
% 216.11/215.78 thf(c_0_755, plain, (p46|~p48), inference(split_conjunct,[status(thm)],[c_0_742])).
% 216.11/215.78 thf(c_0_756, plain, ~p46, inference(sr,[status(thm)],[c_0_743, c_0_744])).
% 216.11/215.78 thf(c_0_757, plain, (p106|~p108), inference(fof_simplification,[status(thm)],[ax563])).
% 216.11/215.78 thf(c_0_758, plain, (p108|~p110), inference(fof_simplification,[status(thm)],[ax561])).
% 216.11/215.78 thf(c_0_759, plain, (p114|~p116), inference(fof_simplification,[status(thm)],[ax553])).
% 216.11/215.78 thf(c_0_760, plain, (p116|~p118), inference(split_conjunct,[status(thm)],[c_0_745])).
% 216.11/215.78 thf(c_0_761, plain, (p118|~p188), inference(spm,[status(thm)],[c_0_746, c_0_747])).
% 216.11/215.78 thf(c_0_762, plain, (p199|~p201), inference(fof_simplification,[status(thm)],[ax465])).
% 216.11/215.78 thf(c_0_763, plain, (p201|~p203), inference(split_conjunct,[status(thm)],[c_0_748])).
% 216.11/215.78 thf(c_0_764, plain, (p203|~p253), inference(spm,[status(thm)],[c_0_749, c_0_750])).
% 216.11/215.78 thf(c_0_765, plain, (p264|~p266), inference(fof_simplification,[status(thm)],[ax399])).
% 216.11/215.78 thf(c_0_766, plain, (p266|~p268), inference(fof_simplification,[status(thm)],[ax397])).
% 216.11/215.78 thf(c_0_767, plain, (p287|~p289), inference(fof_simplification,[status(thm)],[ax375])).
% 216.11/215.78 thf(c_0_768, plain, (p289|~p291), inference(split_conjunct,[status(thm)],[c_0_751])).
% 216.11/215.78 thf(c_0_769, plain, (p291|~p441), inference(spm,[status(thm)],[c_0_752, c_0_753])).
% 216.11/215.78 thf(c_0_770, plain, (p50|~p52), inference(fof_simplification,[status(thm)],[ax623])).
% 216.11/215.78 thf(c_0_771, plain, (p48|~p50), inference(split_conjunct,[status(thm)],[c_0_754])).
% 216.11/215.78 thf(c_0_772, plain, ~p48, inference(sr,[status(thm)],[c_0_755, c_0_756])).
% 216.11/215.78 thf(c_0_773, plain, (p105|~p106), inference(fof_simplification,[status(thm)],[ax565])).
% 216.11/215.78 thf(c_0_774, plain, (p106|~p108), inference(split_conjunct,[status(thm)],[c_0_757])).
% 216.11/215.78 thf(c_0_775, plain, (p108|~p110), inference(split_conjunct,[status(thm)],[c_0_758])).
% 216.11/215.78 thf(c_0_776, plain, (p112|~p114), inference(fof_simplification,[status(thm)],[ax555])).
% 216.11/215.78 thf(c_0_777, plain, (p114|~p116), inference(split_conjunct,[status(thm)],[c_0_759])).
% 216.11/215.78 thf(c_0_778, plain, (p116|~p188), inference(spm,[status(thm)],[c_0_760, c_0_761])).
% 216.11/215.78 thf(c_0_779, plain, (p197|~p199), inference(fof_simplification,[status(thm)],[ax467])).
% 216.11/215.78 thf(c_0_780, plain, (p199|~p201), inference(split_conjunct,[status(thm)],[c_0_762])).
% 216.11/215.78 thf(c_0_781, plain, (p201|~p253), inference(spm,[status(thm)],[c_0_763, c_0_764])).
% 216.11/215.78 thf(c_0_782, plain, (p262|~p264), inference(fof_simplification,[status(thm)],[ax401])).
% 216.11/215.78 thf(c_0_783, plain, (p264|~p266), inference(split_conjunct,[status(thm)],[c_0_765])).
% 216.11/215.78 thf(c_0_784, plain, (p266|~p268), inference(split_conjunct,[status(thm)],[c_0_766])).
% 216.11/215.78 thf(c_0_785, plain, (p285|~p287), inference(fof_simplification,[status(thm)],[ax377])).
% 216.11/215.78 thf(c_0_786, plain, (p287|~p289), inference(split_conjunct,[status(thm)],[c_0_767])).
% 216.11/215.78 thf(c_0_787, plain, (p289|~p441), inference(spm,[status(thm)],[c_0_768, c_0_769])).
% 216.11/215.78 thf(c_0_788, plain, (p52|~p54), inference(fof_simplification,[status(thm)],[ax621])).
% 216.11/215.78 thf(c_0_789, plain, (p50|~p52), inference(split_conjunct,[status(thm)],[c_0_770])).
% 216.11/215.78 thf(c_0_790, plain, ~p50, inference(sr,[status(thm)],[c_0_771, c_0_772])).
% 216.11/215.78 thf(c_0_791, plain, (p102|~p104), inference(fof_simplification,[status(thm)],[ax569])).
% 216.11/215.78 thf(c_0_792, plain, (p104|~p105), inference(fof_simplification,[status(thm)],[ax567])).
% 216.11/215.78 thf(c_0_793, plain, (p105|~p106), inference(split_conjunct,[status(thm)],[c_0_773])).
% 216.11/215.78 thf(c_0_794, plain, (p106|~p110), inference(spm,[status(thm)],[c_0_774, c_0_775])).
% 216.11/215.78 thf(c_0_795, plain, (p110|~p111), inference(fof_simplification,[status(thm)],[ax559])).
% 216.11/215.78 thf(c_0_796, plain, (p111|~p112), inference(fof_simplification,[status(thm)],[ax557])).
% 216.11/215.78 thf(c_0_797, plain, (p112|~p114), inference(split_conjunct,[status(thm)],[c_0_776])).
% 216.11/215.78 thf(c_0_798, plain, (p114|~p188), inference(spm,[status(thm)],[c_0_777, c_0_778])).
% 216.11/215.78 thf(c_0_799, plain, (p195|~p197), inference(fof_simplification,[status(thm)],[ax469])).
% 216.11/215.78 thf(c_0_800, plain, (p197|~p199), inference(split_conjunct,[status(thm)],[c_0_779])).
% 216.11/215.78 thf(c_0_801, plain, (p199|~p253), inference(spm,[status(thm)],[c_0_780, c_0_781])).
% 216.11/215.78 thf(c_0_802, plain, (p260|~p262), inference(fof_simplification,[status(thm)],[ax403])).
% 216.11/215.78 thf(c_0_803, plain, (p262|~p264), inference(split_conjunct,[status(thm)],[c_0_782])).
% 216.11/215.78 thf(c_0_804, plain, (p264|~p268), inference(spm,[status(thm)],[c_0_783, c_0_784])).
% 216.11/215.78 thf(c_0_805, plain, (p283|~p285), inference(fof_simplification,[status(thm)],[ax379])).
% 216.11/215.78 thf(c_0_806, plain, (p285|~p287), inference(split_conjunct,[status(thm)],[c_0_785])).
% 216.11/215.78 thf(c_0_807, plain, (p287|~p441), inference(spm,[status(thm)],[c_0_786, c_0_787])).
% 216.11/215.78 thf(c_0_808, plain, (p54|~p56), inference(fof_simplification,[status(thm)],[ax619])).
% 216.11/215.78 thf(c_0_809, plain, (p52|~p54), inference(split_conjunct,[status(thm)],[c_0_788])).
% 216.11/215.78 thf(c_0_810, plain, ~p52, inference(sr,[status(thm)],[c_0_789, c_0_790])).
% 216.11/215.78 thf(c_0_811, plain, (p100|~p102), inference(fof_simplification,[status(thm)],[ax571])).
% 216.11/215.78 thf(c_0_812, plain, (p102|~p104), inference(split_conjunct,[status(thm)],[c_0_791])).
% 216.11/215.78 thf(c_0_813, plain, (p104|~p105), inference(split_conjunct,[status(thm)],[c_0_792])).
% 216.11/215.78 thf(c_0_814, plain, (p105|~p110), inference(spm,[status(thm)],[c_0_793, c_0_794])).
% 216.11/215.78 thf(c_0_815, plain, (p110|~p111), inference(split_conjunct,[status(thm)],[c_0_795])).
% 216.11/215.78 thf(c_0_816, plain, (p111|~p112), inference(split_conjunct,[status(thm)],[c_0_796])).
% 216.11/215.78 thf(c_0_817, plain, (p112|~p188), inference(spm,[status(thm)],[c_0_797, c_0_798])).
% 216.11/215.78 thf(c_0_818, plain, (p193|~p195), inference(fof_simplification,[status(thm)],[ax471])).
% 216.11/215.78 thf(c_0_819, plain, (p195|~p197), inference(split_conjunct,[status(thm)],[c_0_799])).
% 216.11/215.79 thf(c_0_820, plain, (p197|~p253), inference(spm,[status(thm)],[c_0_800, c_0_801])).
% 216.11/215.79 thf(c_0_821, plain, (p258|~p260), inference(fof_simplification,[status(thm)],[ax405])).
% 216.11/215.79 thf(c_0_822, plain, (p260|~p262), inference(split_conjunct,[status(thm)],[c_0_802])).
% 216.11/215.79 thf(c_0_823, plain, (p262|~p268), inference(spm,[status(thm)],[c_0_803, c_0_804])).
% 216.11/215.79 thf(c_0_824, plain, (p281|~p283), inference(fof_simplification,[status(thm)],[ax381])).
% 216.11/215.79 thf(c_0_825, plain, (p283|~p285), inference(split_conjunct,[status(thm)],[c_0_805])).
% 216.11/215.79 thf(c_0_826, plain, (p285|~p441), inference(spm,[status(thm)],[c_0_806, c_0_807])).
% 216.11/215.79 thf(c_0_827, plain, (p56|~p58), inference(fof_simplification,[status(thm)],[ax617])).
% 216.11/215.79 thf(c_0_828, plain, (p54|~p56), inference(split_conjunct,[status(thm)],[c_0_808])).
% 216.11/215.79 thf(c_0_829, plain, ~p54, inference(sr,[status(thm)],[c_0_809, c_0_810])).
% 216.11/215.79 thf(c_0_830, plain, (p100|~p102), inference(split_conjunct,[status(thm)],[c_0_811])).
% 216.11/215.79 thf(c_0_831, plain, (p102|~p105), inference(spm,[status(thm)],[c_0_812, c_0_813])).
% 216.11/215.79 thf(c_0_832, plain, (p105|~p111), inference(spm,[status(thm)],[c_0_814, c_0_815])).
% 216.11/215.79 thf(c_0_833, plain, (p111|~p188), inference(spm,[status(thm)],[c_0_816, c_0_817])).
% 216.11/215.79 thf(c_0_834, plain, (p191|~p193), inference(fof_simplification,[status(thm)],[ax473])).
% 216.11/215.79 thf(c_0_835, plain, (p193|~p195), inference(split_conjunct,[status(thm)],[c_0_818])).
% 216.11/215.79 thf(c_0_836, plain, (p195|~p253), inference(spm,[status(thm)],[c_0_819, c_0_820])).
% 216.11/215.79 thf(c_0_837, plain, (p256|~p258), inference(fof_simplification,[status(thm)],[ax407])).
% 216.11/215.79 thf(c_0_838, plain, (p258|~p260), inference(split_conjunct,[status(thm)],[c_0_821])).
% 216.11/215.79 thf(c_0_839, plain, (p260|~p268), inference(spm,[status(thm)],[c_0_822, c_0_823])).
% 216.11/215.79 thf(c_0_840, plain, (p279|~p281), inference(fof_simplification,[status(thm)],[ax383])).
% 216.11/215.79 thf(c_0_841, plain, (p281|~p283), inference(split_conjunct,[status(thm)],[c_0_824])).
% 216.11/215.79 thf(c_0_842, plain, (p283|~p441), inference(spm,[status(thm)],[c_0_825, c_0_826])).
% 216.11/215.79 thf(c_0_843, plain, (p58|~p60), inference(fof_simplification,[status(thm)],[ax615])).
% 216.11/215.79 thf(c_0_844, plain, (p56|~p58), inference(split_conjunct,[status(thm)],[c_0_827])).
% 216.11/215.79 thf(c_0_845, plain, ~p56, inference(sr,[status(thm)],[c_0_828, c_0_829])).
% 216.11/215.79 thf(c_0_846, plain, (p438|p439), inference(split_conjunct,[status(thm)],[ax223])).
% 216.11/215.79 thf(c_0_847, plain, (p433|p434), inference(split_conjunct,[status(thm)],[ax228])).
% 216.11/215.79 thf(c_0_848, plain, (p431|p432), inference(split_conjunct,[status(thm)],[ax230])).
% 216.11/215.79 thf(c_0_849, plain, (p98|~p100), inference(fof_simplification,[status(thm)],[ax573])).
% 216.11/215.79 thf(c_0_850, plain, (p100|~p105), inference(spm,[status(thm)],[c_0_830, c_0_831])).
% 216.11/215.79 thf(c_0_851, plain, (p105|~p188), inference(spm,[status(thm)],[c_0_832, c_0_833])).
% 216.11/215.79 thf(c_0_852, plain, (p189|~p191), inference(fof_simplification,[status(thm)],[ax475])).
% 216.11/215.79 thf(c_0_853, plain, (p191|~p193), inference(split_conjunct,[status(thm)],[c_0_834])).
% 216.11/215.79 thf(c_0_854, plain, (p193|~p253), inference(spm,[status(thm)],[c_0_835, c_0_836])).
% 216.11/215.79 thf(c_0_855, plain, (p254|~p256), inference(fof_simplification,[status(thm)],[ax409])).
% 216.11/215.79 thf(c_0_856, plain, (p256|~p258), inference(split_conjunct,[status(thm)],[c_0_837])).
% 216.11/215.79 thf(c_0_857, plain, (p258|~p268), inference(spm,[status(thm)],[c_0_838, c_0_839])).
% 216.11/215.79 thf(c_0_858, plain, (p277|~p279), inference(fof_simplification,[status(thm)],[ax385])).
% 216.11/215.79 thf(c_0_859, plain, (p279|~p281), inference(split_conjunct,[status(thm)],[c_0_840])).
% 216.11/215.79 thf(c_0_860, plain, (p281|~p441), inference(spm,[status(thm)],[c_0_841, c_0_842])).
% 216.11/215.79 thf(c_0_861, plain, (p60|~p62), inference(fof_simplification,[status(thm)],[ax613])).
% 216.11/215.79 thf(c_0_862, plain, (p58|~p60), inference(split_conjunct,[status(thm)],[c_0_843])).
% 216.11/215.79 thf(c_0_863, plain, ~p58, inference(sr,[status(thm)],[c_0_844, c_0_845])).
% 216.11/215.79 thf(c_0_864, plain, (p439|p433), inference(spm,[status(thm)],[c_0_281, c_0_846])).
% 216.11/215.79 thf(c_0_865, plain, (p434|p431), inference(spm,[status(thm)],[c_0_284, c_0_847])).
% 216.11/215.79 thf(c_0_866, plain, (p432|p429), inference(spm,[status(thm)],[c_0_287, c_0_848])).
% 216.11/215.79 thf(c_0_867, plain, (p96|~p98), inference(fof_simplification,[status(thm)],[ax575])).
% 216.11/215.79 thf(c_0_868, plain, (p98|~p100), inference(split_conjunct,[status(thm)],[c_0_849])).
% 216.11/215.79 thf(c_0_869, plain, (p100|~p188), inference(spm,[status(thm)],[c_0_850, c_0_851])).
% 216.11/215.79 thf(c_0_870, plain, (p188|~p189), inference(fof_simplification,[status(thm)],[ax477])).
% 216.11/215.79 thf(c_0_871, plain, (p189|~p191), inference(split_conjunct,[status(thm)],[c_0_852])).
% 216.11/215.79 thf(c_0_872, plain, (p191|~p253), inference(spm,[status(thm)],[c_0_853, c_0_854])).
% 216.11/215.79 thf(c_0_873, plain, (p253|~p254), inference(fof_simplification,[status(thm)],[ax411])).
% 216.11/215.79 thf(c_0_874, plain, (p254|~p256), inference(split_conjunct,[status(thm)],[c_0_855])).
% 216.11/215.79 thf(c_0_875, plain, (p256|~p268), inference(spm,[status(thm)],[c_0_856, c_0_857])).
% 216.11/215.79 thf(c_0_876, plain, (p275|~p277), inference(fof_simplification,[status(thm)],[ax387])).
% 216.11/215.79 thf(c_0_877, plain, (p277|~p279), inference(split_conjunct,[status(thm)],[c_0_858])).
% 216.11/215.79 thf(c_0_878, plain, (p279|~p441), inference(spm,[status(thm)],[c_0_859, c_0_860])).
% 216.11/215.79 thf(c_0_879, plain, (p62|~p64), inference(fof_simplification,[status(thm)],[ax611])).
% 216.11/215.79 thf(c_0_880, plain, (p60|~p62), inference(split_conjunct,[status(thm)],[c_0_861])).
% 216.11/215.79 thf(c_0_881, plain, ~p60, inference(sr,[status(thm)],[c_0_862, c_0_863])).
% 216.11/215.79 thf(c_0_882, plain, (p439|p431), inference(spm,[status(thm)],[c_0_284, c_0_864])).
% 216.11/215.79 thf(c_0_883, plain, (p434|p429), inference(spm,[status(thm)],[c_0_287, c_0_865])).
% 216.11/215.79 thf(c_0_884, plain, (p432|p427), inference(spm,[status(thm)],[c_0_290, c_0_866])).
% 216.11/215.79 thf(c_0_885, plain, (p94|~p96), inference(fof_simplification,[status(thm)],[ax577])).
% 216.11/215.79 thf(c_0_886, plain, (p96|~p98), inference(split_conjunct,[status(thm)],[c_0_867])).
% 216.11/215.79 thf(c_0_887, plain, (p98|~p188), inference(spm,[status(thm)],[c_0_868, c_0_869])).
% 216.11/215.79 thf(c_0_888, plain, (p188|~p189), inference(split_conjunct,[status(thm)],[c_0_870])).
% 216.11/215.79 thf(c_0_889, plain, (p189|~p253), inference(spm,[status(thm)],[c_0_871, c_0_872])).
% 216.11/215.79 thf(c_0_890, plain, (p253|~p254), inference(split_conjunct,[status(thm)],[c_0_873])).
% 216.11/215.79 thf(c_0_891, plain, (p254|~p268), inference(spm,[status(thm)],[c_0_874, c_0_875])).
% 216.11/215.79 thf(c_0_892, plain, (p273|~p275), inference(fof_simplification,[status(thm)],[ax389])).
% 216.11/215.79 thf(c_0_893, plain, (p275|~p277), inference(split_conjunct,[status(thm)],[c_0_876])).
% 216.11/215.79 thf(c_0_894, plain, (p277|~p441), inference(spm,[status(thm)],[c_0_877, c_0_878])).
% 216.11/215.79 thf(c_0_895, plain, (p64|~p66), inference(fof_simplification,[status(thm)],[ax609])).
% 216.11/215.79 thf(c_0_896, plain, (p62|~p64), inference(split_conjunct,[status(thm)],[c_0_879])).
% 216.11/215.79 thf(c_0_897, plain, ~p62, inference(sr,[status(thm)],[c_0_880, c_0_881])).
% 216.11/215.79 thf(c_0_898, plain, (p439|p429), inference(spm,[status(thm)],[c_0_287, c_0_882])).
% 216.11/215.79 thf(c_0_899, plain, (p434|p427), inference(spm,[status(thm)],[c_0_290, c_0_883])).
% 216.11/215.79 thf(c_0_900, plain, (p432|p425), inference(spm,[status(thm)],[c_0_293, c_0_884])).
% 216.11/215.79 thf(c_0_901, plain, (p94|~p96), inference(split_conjunct,[status(thm)],[c_0_885])).
% 216.11/215.79 thf(c_0_902, plain, (p96|~p188), inference(spm,[status(thm)],[c_0_886, c_0_887])).
% 216.11/215.79 thf(c_0_903, plain, (p188|~p253), inference(spm,[status(thm)],[c_0_888, c_0_889])).
% 216.11/215.79 thf(c_0_904, plain, (p253|~p268), inference(spm,[status(thm)],[c_0_890, c_0_891])).
% 216.11/215.79 thf(c_0_905, plain, (p271|~p273), inference(fof_simplification,[status(thm)],[ax391])).
% 216.11/215.79 thf(c_0_906, plain, (p273|~p275), inference(split_conjunct,[status(thm)],[c_0_892])).
% 216.11/215.79 thf(c_0_907, plain, (p275|~p441), inference(spm,[status(thm)],[c_0_893, c_0_894])).
% 216.11/215.79 thf(c_0_908, plain, (p66|~p68), inference(fof_simplification,[status(thm)],[ax607])).
% 216.11/215.79 thf(c_0_909, plain, (p64|~p66), inference(split_conjunct,[status(thm)],[c_0_895])).
% 216.11/215.79 thf(c_0_910, plain, ~p64, inference(sr,[status(thm)],[c_0_896, c_0_897])).
% 216.11/215.79 thf(c_0_911, plain, (p439|p427), inference(spm,[status(thm)],[c_0_290, c_0_898])).
% 216.11/215.79 thf(c_0_912, plain, (p434|p425), inference(spm,[status(thm)],[c_0_293, c_0_899])).
% 216.11/215.79 thf(c_0_913, plain, (p432|p423), inference(spm,[status(thm)],[c_0_296, c_0_900])).
% 216.11/215.79 thf(c_0_914, plain, (p92|~p94), inference(fof_simplification,[status(thm)],[ax579])).
% 216.11/215.79 thf(c_0_915, plain, (p94|~p188), inference(spm,[status(thm)],[c_0_901, c_0_902])).
% 216.11/215.79 thf(c_0_916, plain, (p188|~p268), inference(spm,[status(thm)],[c_0_903, c_0_904])).
% 216.11/215.79 thf(c_0_917, plain, (p269|~p271), inference(fof_simplification,[status(thm)],[ax393])).
% 216.11/215.79 thf(c_0_918, plain, (p271|~p273), inference(split_conjunct,[status(thm)],[c_0_905])).
% 216.11/215.79 thf(c_0_919, plain, (p273|~p441), inference(spm,[status(thm)],[c_0_906, c_0_907])).
% 216.11/215.79 thf(c_0_920, plain, (p68|~p70), inference(fof_simplification,[status(thm)],[ax605])).
% 216.11/215.79 thf(c_0_921, plain, (p66|~p68), inference(split_conjunct,[status(thm)],[c_0_908])).
% 216.11/215.79 thf(c_0_922, plain, ~p66, inference(sr,[status(thm)],[c_0_909, c_0_910])).
% 216.11/215.79 thf(c_0_923, plain, (p439|p425), inference(spm,[status(thm)],[c_0_293, c_0_911])).
% 216.11/215.79 thf(c_0_924, plain, (p434|p423), inference(spm,[status(thm)],[c_0_296, c_0_912])).
% 216.11/215.79 thf(c_0_925, plain, (p432|p421), inference(spm,[status(thm)],[c_0_299, c_0_913])).
% 216.11/215.79 thf(c_0_926, plain, (p90|~p92), inference(fof_simplification,[status(thm)],[ax581])).
% 216.11/215.79 thf(c_0_927, plain, (p92|~p94), inference(split_conjunct,[status(thm)],[c_0_914])).
% 216.11/215.79 thf(c_0_928, plain, (p94|~p268), inference(spm,[status(thm)],[c_0_915, c_0_916])).
% 216.11/215.79 thf(c_0_929, plain, (p268|~p269), inference(fof_simplification,[status(thm)],[ax395])).
% 216.11/215.79 thf(c_0_930, plain, (p269|~p271), inference(split_conjunct,[status(thm)],[c_0_917])).
% 216.11/215.79 thf(c_0_931, plain, (p271|~p441), inference(spm,[status(thm)],[c_0_918, c_0_919])).
% 216.11/215.79 thf(c_0_932, plain, (p70|~p71), inference(fof_simplification,[status(thm)],[ax603])).
% 216.11/215.79 thf(c_0_933, plain, (p68|~p70), inference(split_conjunct,[status(thm)],[c_0_920])).
% 216.11/215.79 thf(c_0_934, plain, ~p68, inference(sr,[status(thm)],[c_0_921, c_0_922])).
% 216.11/215.79 thf(c_0_935, plain, (p439|p423), inference(spm,[status(thm)],[c_0_296, c_0_923])).
% 216.11/215.79 thf(c_0_936, plain, (p434|p421), inference(spm,[status(thm)],[c_0_299, c_0_924])).
% 216.11/215.79 thf(c_0_937, plain, (p432|p419), inference(spm,[status(thm)],[c_0_302, c_0_925])).
% 216.11/215.79 thf(c_0_938, plain, (p90|~p92), inference(split_conjunct,[status(thm)],[c_0_926])).
% 216.11/215.79 thf(c_0_939, plain, (p92|~p268), inference(spm,[status(thm)],[c_0_927, c_0_928])).
% 216.11/215.79 thf(c_0_940, plain, (p268|~p269), inference(split_conjunct,[status(thm)],[c_0_929])).
% 216.11/215.79 thf(c_0_941, plain, (p269|~p441), inference(spm,[status(thm)],[c_0_930, c_0_931])).
% 216.11/215.79 thf(c_0_942, plain, (p71|~p73), inference(fof_simplification,[status(thm)],[ax601])).
% 216.11/215.79 thf(c_0_943, plain, (p70|~p71), inference(split_conjunct,[status(thm)],[c_0_932])).
% 216.11/215.79 thf(c_0_944, plain, ~p70, inference(sr,[status(thm)],[c_0_933, c_0_934])).
% 216.11/215.79 thf(c_0_945, plain, (p439|p421), inference(spm,[status(thm)],[c_0_299, c_0_935])).
% 216.11/215.79 thf(c_0_946, plain, (p434|p419), inference(spm,[status(thm)],[c_0_302, c_0_936])).
% 216.11/215.79 thf(c_0_947, plain, (p432|p417), inference(spm,[status(thm)],[c_0_307, c_0_937])).
% 216.11/215.79 thf(c_0_948, plain, (p88|~p90), inference(fof_simplification,[status(thm)],[ax583])).
% 216.11/215.79 thf(c_0_949, plain, (p90|~p268), inference(spm,[status(thm)],[c_0_938, c_0_939])).
% 216.11/215.79 thf(c_0_950, plain, (p268|~p441), inference(spm,[status(thm)],[c_0_940, c_0_941])).
% 216.11/215.79 thf(c_0_951, plain, (p73|~p75), inference(fof_simplification,[status(thm)],[ax599])).
% 216.11/215.79 thf(c_0_952, plain, (p71|~p73), inference(split_conjunct,[status(thm)],[c_0_942])).
% 216.11/215.79 thf(c_0_953, plain, ~p71, inference(sr,[status(thm)],[c_0_943, c_0_944])).
% 216.11/215.79 thf(c_0_954, plain, (p439|p419), inference(spm,[status(thm)],[c_0_302, c_0_945])).
% 216.11/215.79 thf(c_0_955, plain, (p434|p417), inference(spm,[status(thm)],[c_0_307, c_0_946])).
% 216.11/215.79 thf(c_0_956, plain, (p432|p415), inference(spm,[status(thm)],[c_0_313, c_0_947])).
% 216.11/215.79 thf(c_0_957, plain, (p86|~p88), inference(fof_simplification,[status(thm)],[ax585])).
% 216.11/215.79 thf(c_0_958, plain, (p88|~p90), inference(split_conjunct,[status(thm)],[c_0_948])).
% 216.11/215.79 thf(c_0_959, plain, (p90|~p441), inference(spm,[status(thm)],[c_0_949, c_0_950])).
% 216.11/215.79 thf(c_0_960, plain, (p75|~p77), inference(fof_simplification,[status(thm)],[ax597])).
% 216.11/215.79 thf(c_0_961, plain, (p73|~p75), inference(split_conjunct,[status(thm)],[c_0_951])).
% 216.11/215.79 thf(c_0_962, plain, ~p73, inference(sr,[status(thm)],[c_0_952, c_0_953])).
% 216.11/215.79 thf(c_0_963, plain, (~p468|p467), inference(fof_simplification,[status(thm)],[ax197])).
% 216.11/215.79 thf(c_0_964, plain, (p439|p417), inference(spm,[status(thm)],[c_0_307, c_0_954])).
% 216.11/215.79 thf(c_0_965, plain, (p434|p415), inference(spm,[status(thm)],[c_0_313, c_0_955])).
% 216.11/215.79 thf(c_0_966, plain, (p432|p414), inference(spm,[status(thm)],[c_0_317, c_0_956])).
% 216.11/215.79 thf(c_0_967, plain, (p84|~p86), inference(fof_simplification,[status(thm)],[ax587])).
% 216.11/215.79 thf(c_0_968, plain, (p86|~p88), inference(split_conjunct,[status(thm)],[c_0_957])).
% 216.11/215.79 thf(c_0_969, plain, (p88|~p441), inference(spm,[status(thm)],[c_0_958, c_0_959])).
% 216.11/215.79 thf(c_0_970, plain, (p77|~p79), inference(fof_simplification,[status(thm)],[ax595])).
% 216.11/215.79 thf(c_0_971, plain, (p75|~p77), inference(split_conjunct,[status(thm)],[c_0_960])).
% 216.11/215.79 thf(c_0_972, plain, ~p75, inference(sr,[status(thm)],[c_0_961, c_0_962])).
% 216.11/215.79 thf(c_0_973, plain, (~p467|p482), inference(fof_simplification,[status(thm)],[ax181])).
% 216.11/215.79 thf(c_0_974, plain, (p467|~p468), inference(split_conjunct,[status(thm)],[c_0_963])).
% 216.11/215.79 thf(c_0_975, plain, p468, inference(split_conjunct,[status(thm)],[ax198])).
% 216.11/215.79 thf(c_0_976, plain, (p439|p415), inference(spm,[status(thm)],[c_0_313, c_0_964])).
% 216.11/215.79 thf(c_0_977, plain, (p434|p414), inference(spm,[status(thm)],[c_0_317, c_0_965])).
% 216.11/215.79 thf(c_0_978, plain, (p432|p408), inference(spm,[status(thm)],[c_0_320, c_0_966])).
% 216.11/215.79 thf(c_0_979, plain, (p82|~p84), inference(fof_simplification,[status(thm)],[ax589])).
% 216.11/215.79 thf(c_0_980, plain, (p84|~p86), inference(split_conjunct,[status(thm)],[c_0_967])).
% 216.11/215.79 thf(c_0_981, plain, (p86|~p441), inference(spm,[status(thm)],[c_0_968, c_0_969])).
% 216.11/215.79 thf(c_0_982, plain, (p79|~p81), inference(fof_simplification,[status(thm)],[ax593])).
% 216.11/215.79 thf(c_0_983, plain, (p77|~p79), inference(split_conjunct,[status(thm)],[c_0_970])).
% 216.11/215.79 thf(c_0_984, plain, ~p77, inference(sr,[status(thm)],[c_0_971, c_0_972])).
% 216.11/215.79 thf(c_0_985, plain, (~p480|~p452|~p479), inference(fof_simplification,[status(thm)],[ax178])).
% 216.11/215.79 thf(c_0_986, plain, (~p481|p480), inference(fof_simplification,[status(thm)],[ax179])).
% 216.11/215.79 thf(c_0_987, plain, (~p482|p443|p481), inference(fof_simplification,[status(thm)],[ax180])).
% 216.11/215.79 thf(c_0_988, plain, (p482|~p467), inference(split_conjunct,[status(thm)],[c_0_973])).
% 216.11/215.79 thf(c_0_989, plain, p467, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_974, c_0_975])])).
% 216.11/215.79 thf(c_0_990, plain, (~p467|p486), inference(fof_simplification,[status(thm)],[ax177])).
% 216.11/215.79 thf(c_0_991, plain, (p439|p414), inference(spm,[status(thm)],[c_0_317, c_0_976])).
% 216.11/215.79 thf(c_0_992, plain, (p434|p408), inference(spm,[status(thm)],[c_0_320, c_0_977])).
% 216.11/215.79 thf(c_0_993, plain, (p432|p406), inference(spm,[status(thm)],[c_0_323, c_0_978])).
% 216.11/215.79 thf(c_0_994, plain, (~p512|p511), inference(fof_simplification,[status(thm)],[ax124])).
% 216.11/215.79 thf(c_0_995, plain, (~p432|p512), inference(fof_simplification,[status(thm)],[ax123])).
% 216.11/215.79 thf(c_0_996, plain, (~p474|p473), inference(fof_simplification,[status(thm)],[ax187])).
% 216.11/215.79 thf(c_0_997, plain, (~p434|p474), inference(fof_simplification,[status(thm)],[ax186])).
% 216.11/215.79 thf(c_0_998, plain, (p81|~p82), inference(fof_simplification,[status(thm)],[ax591])).
% 216.11/215.79 thf(c_0_999, plain, (p82|~p84), inference(split_conjunct,[status(thm)],[c_0_979])).
% 216.11/215.79 thf(c_0_1000, plain, (p84|~p441), inference(spm,[status(thm)],[c_0_980, c_0_981])).
% 216.11/215.79 thf(c_0_1001, plain, (p79|~p81), inference(split_conjunct,[status(thm)],[c_0_982])).
% 216.11/215.79 thf(c_0_1002, plain, ~p79, inference(sr,[status(thm)],[c_0_983, c_0_984])).
% 216.11/215.79 thf(c_0_1003, plain, (~p480|~p452|~p479), inference(split_conjunct,[status(thm)],[c_0_985])).
% 216.11/215.79 thf(c_0_1004, plain, (p480|~p481), inference(split_conjunct,[status(thm)],[c_0_986])).
% 216.11/215.79 thf(c_0_1005, plain, (p443|p481|~p482), inference(split_conjunct,[status(thm)],[c_0_987])).
% 216.11/215.79 thf(c_0_1006, plain, p482, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_988, c_0_989])])).
% 216.11/215.79 thf(c_0_1007, plain, (~p520|~p458|~p519), inference(fof_simplification,[status(thm)],[ax111])).
% 216.11/215.79 thf(c_0_1008, plain, (~p485|p520), inference(fof_simplification,[status(thm)],[ax112])).
% 216.11/215.79 thf(c_0_1009, plain, (~p486|p441|p485), inference(fof_simplification,[status(thm)],[ax176])).
% 216.11/215.79 thf(c_0_1010, plain, (p486|~p467), inference(split_conjunct,[status(thm)],[c_0_990])).
% 216.11/215.79 thf(c_0_1011, plain, (p439|p408), inference(spm,[status(thm)],[c_0_320, c_0_991])).
% 216.11/215.79 thf(c_0_1012, plain, (p434|p406), inference(spm,[status(thm)],[c_0_323, c_0_992])).
% 216.11/215.79 thf(c_0_1013, plain, (p432|p404), inference(spm,[status(thm)],[c_0_326, c_0_993])).
% 216.11/215.79 thf(c_0_1014, plain, (~p511|p510), inference(fof_simplification,[status(thm)],[ax125])).
% 216.11/215.79 thf(c_0_1015, plain, (p511|~p512), inference(split_conjunct,[status(thm)],[c_0_994])).
% 216.11/215.79 thf(c_0_1016, plain, (p512|~p432), inference(split_conjunct,[status(thm)],[c_0_995])).
% 216.11/215.79 thf(c_0_1017, plain, (~p473|p472), inference(fof_simplification,[status(thm)],[ax188])).
% 216.11/215.79 thf(c_0_1018, plain, (p473|~p474), inference(split_conjunct,[status(thm)],[c_0_996])).
% 216.11/215.79 thf(c_0_1019, plain, (p474|~p434), inference(split_conjunct,[status(thm)],[c_0_997])).
% 216.11/215.79 thf(c_0_1020, plain, (p81|~p82), inference(split_conjunct,[status(thm)],[c_0_998])).
% 216.11/215.79 thf(c_0_1021, plain, (p82|~p441), inference(spm,[status(thm)],[c_0_999, c_0_1000])).
% 216.11/215.79 thf(c_0_1022, plain, ~p81, inference(sr,[status(thm)],[c_0_1001, c_0_1002])).
% 216.11/215.79 thf(c_0_1023, plain, (p441|~p443), inference(fof_simplification,[status(thm)],[ax219])).
% 216.11/215.79 thf(c_0_1024, plain, (~p452|~p479|~p481), inference(spm,[status(thm)],[c_0_1003, c_0_1004])).
% 216.11/215.79 thf(c_0_1025, plain, (p481|p443), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1005, c_0_1006])])).
% 216.11/215.79 thf(c_0_1026, plain, ![X891:$i, X892:$i, X893:$i]:(~p59|(~fin @ X893 @ X892|fin @ X893 @ (fsetadjoin @ X891 @ X892))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax59])])])).
% 216.11/215.79 thf(c_0_1027, plain, (p58|p59), inference(split_conjunct,[status(thm)],[ax616])).
% 216.11/215.79 thf(c_0_1028, plain, ![X897:$i, X898:$i]:(~p55|fin @ X897 @ (fsetadjoin @ X897 @ X898)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax55])])])).
% 216.11/215.79 thf(c_0_1029, plain, (p54|p55), inference(split_conjunct,[status(thm)],[ax620])).
% 216.11/215.79 thf(c_0_1030, plain, (~p520|~p458|~p519), inference(split_conjunct,[status(thm)],[c_0_1007])).
% 216.11/215.79 thf(c_0_1031, plain, (p520|~p485), inference(split_conjunct,[status(thm)],[c_0_1008])).
% 216.11/215.79 thf(c_0_1032, plain, (p441|p485|~p486), inference(split_conjunct,[status(thm)],[c_0_1009])).
% 216.11/215.79 thf(c_0_1033, plain, p486, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1010, c_0_989])])).
% 216.11/215.79 thf(c_0_1034, plain, (p439|p406), inference(spm,[status(thm)],[c_0_323, c_0_1011])).
% 216.11/215.79 thf(c_0_1035, plain, (p434|p404), inference(spm,[status(thm)],[c_0_326, c_0_1012])).
% 216.11/215.79 thf(c_0_1036, plain, (p432|p402), inference(spm,[status(thm)],[c_0_329, c_0_1013])).
% 216.11/215.79 thf(c_0_1037, plain, (~p510|~p439|p509), inference(fof_simplification,[status(thm)],[ax126])).
% 216.11/215.79 thf(c_0_1038, plain, (p510|~p511), inference(split_conjunct,[status(thm)],[c_0_1014])).
% 216.11/215.79 thf(c_0_1039, plain, (p511|~p432), inference(spm,[status(thm)],[c_0_1015, c_0_1016])).
% 216.11/215.79 thf(c_0_1040, plain, (~p472|~p439|p471), inference(fof_simplification,[status(thm)],[ax189])).
% 216.11/215.79 thf(c_0_1041, plain, (p472|~p473), inference(split_conjunct,[status(thm)],[c_0_1017])).
% 216.11/215.79 thf(c_0_1042, plain, (p473|~p434), inference(spm,[status(thm)],[c_0_1018, c_0_1019])).
% 216.11/215.79 thf(c_0_1043, plain, (~p470|~p442|p469), inference(fof_simplification,[status(thm)],[ax191])).
% 216.11/215.79 thf(c_0_1044, plain, (p441|p442), inference(split_conjunct,[status(thm)],[ax220])).
% 216.11/215.79 thf(c_0_1045, plain, ~p441, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1020, c_0_1021]), c_0_1022])).
% 216.11/215.79 thf(c_0_1046, plain, (~p508|~p442|p507), inference(fof_simplification,[status(thm)],[ax128])).
% 216.11/215.79 thf(c_0_1047, plain, (p441|~p443), inference(split_conjunct,[status(thm)],[c_0_1023])).
% 216.11/215.79 thf(c_0_1048, plain, (p443|~p452|~p479), inference(spm,[status(thm)],[c_0_1024, c_0_1025])).
% 216.11/215.79 thf(c_0_1049, plain, (~fin @ f__3 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset))|p479), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax479])])).
% 216.11/215.79 thf(c_0_1050, plain, ![X1:$i, X4:$i, X2:$i]:(fin @ X1 @ (fsetadjoin @ X4 @ X2)|~p59|~fin @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_1026])).
% 216.11/215.79 thf(c_0_1051, plain, p59, inference(sr,[status(thm)],[c_0_1027, c_0_863])).
% 216.11/215.79 thf(c_0_1052, plain, ![X1:$i, X2:$i]:(fin @ X1 @ (fsetadjoin @ X1 @ X2)|~p55), inference(split_conjunct,[status(thm)],[c_0_1028])).
% 216.11/215.79 thf(c_0_1053, plain, p55, inference(sr,[status(thm)],[c_0_1029, c_0_829])).
% 216.11/215.79 thf(c_0_1054, plain, (~p458|~p519|~p485), inference(spm,[status(thm)],[c_0_1030, c_0_1031])).
% 216.11/215.79 thf(c_0_1055, plain, (p485|p441), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1032, c_0_1033])])).
% 216.11/215.79 thf(c_0_1056, plain, ((fin @ f__3 @ f__0|p519)&(~fin @ f__2 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset))|p519)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax519])])])).
% 216.11/215.79 thf(c_0_1057, plain, (p439|p404), inference(spm,[status(thm)],[c_0_326, c_0_1034])).
% 216.11/215.79 thf(c_0_1058, plain, (p434|p402), inference(spm,[status(thm)],[c_0_329, c_0_1035])).
% 216.11/215.79 thf(c_0_1059, plain, (p432|p400), inference(spm,[status(thm)],[c_0_332, c_0_1036])).
% 216.11/215.79 thf(c_0_1060, plain, (~p509|p508), inference(fof_simplification,[status(thm)],[ax127])).
% 216.11/215.79 thf(c_0_1061, plain, (p509|~p510|~p439), inference(split_conjunct,[status(thm)],[c_0_1037])).
% 216.11/215.79 thf(c_0_1062, plain, (p510|~p432), inference(spm,[status(thm)],[c_0_1038, c_0_1039])).
% 216.11/215.79 thf(c_0_1063, plain, (~p471|p470), inference(fof_simplification,[status(thm)],[ax190])).
% 216.11/215.79 thf(c_0_1064, plain, (p471|~p472|~p439), inference(split_conjunct,[status(thm)],[c_0_1040])).
% 216.11/215.79 thf(c_0_1065, plain, (p472|~p434), inference(spm,[status(thm)],[c_0_1041, c_0_1042])).
% 216.11/215.79 thf(c_0_1066, plain, (~p469|p463|p452), inference(fof_simplification,[status(thm)],[ax192])).
% 216.11/215.79 thf(c_0_1067, plain, (p469|~p470|~p442), inference(split_conjunct,[status(thm)],[c_0_1043])).
% 216.11/215.79 thf(c_0_1068, plain, p442, inference(sr,[status(thm)],[c_0_1044, c_0_1045])).
% 216.11/215.79 thf(c_0_1069, plain, (~p507|~p463|p458), inference(fof_simplification,[status(thm)],[ax129])).
% 216.11/215.79 thf(c_0_1070, plain, (p507|~p508|~p442), inference(split_conjunct,[status(thm)],[c_0_1046])).
% 216.11/215.79 thf(c_0_1071, plain, (p441|~p452|~p479), inference(spm,[status(thm)],[c_0_1047, c_0_1048])).
% 216.11/215.79 thf(c_0_1072, plain, (p479|~fin @ f__3 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset))), inference(split_conjunct,[status(thm)],[c_0_1049])).
% 216.11/215.79 thf(c_0_1073, plain, ![X1:$i, X2:$i, X4:$i]:(fin @ X1 @ (fsetadjoin @ X2 @ X4)|~fin @ X1 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1050, c_0_1051])])).
% 216.11/215.79 thf(c_0_1074, plain, ![X1:$i, X2:$i]:fin @ X1 @ (fsetadjoin @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1052, c_0_1053])])).
% 216.11/215.79 thf(c_0_1075, plain, (p441|~p458|~p519), inference(spm,[status(thm)],[c_0_1054, c_0_1055])).
% 216.11/215.79 thf(c_0_1076, plain, (p519|~fin @ f__2 @ (fsetadjoin @ f__2 @ (fsetadjoin @ f__3 @ femptyset))), inference(split_conjunct,[status(thm)],[c_0_1056])).
% 216.11/215.79 thf(c_0_1077, plain, (p439|p402), inference(spm,[status(thm)],[c_0_329, c_0_1057])).
% 216.11/215.79 thf(c_0_1078, plain, (p434|p400), inference(spm,[status(thm)],[c_0_332, c_0_1058])).
% 216.11/215.79 thf(c_0_1079, plain, (p432|p398), inference(spm,[status(thm)],[c_0_335, c_0_1059])).
% 216.11/215.79 thf(c_0_1080, plain, (p508|~p509), inference(split_conjunct,[status(thm)],[c_0_1060])).
% 216.11/215.79 thf(c_0_1081, plain, (p509|~p439|~p432), inference(spm,[status(thm)],[c_0_1061, c_0_1062])).
% 216.11/215.79 thf(c_0_1082, plain, (p470|~p471), inference(split_conjunct,[status(thm)],[c_0_1063])).
% 216.11/215.79 thf(c_0_1083, plain, (p471|~p439|~p434), inference(spm,[status(thm)],[c_0_1064, c_0_1065])).
% 216.11/215.79 thf(c_0_1084, plain, (p463|p452|~p469), inference(split_conjunct,[status(thm)],[c_0_1066])).
% 216.11/215.79 thf(c_0_1085, plain, (p469|~p470), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1067, c_0_1068])])).
% 216.11/215.79 thf(c_0_1086, plain, (p458|~p507|~p463), inference(split_conjunct,[status(thm)],[c_0_1069])).
% 216.11/215.79 thf(c_0_1087, plain, (p507|~p508), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1070, c_0_1068])])).
% 216.11/215.79 thf(c_0_1088, plain, (~p452|~p479), inference(spm,[status(thm)],[c_0_1045, c_0_1071])).
% 216.11/215.79 thf(c_0_1089, plain, p479, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1072, c_0_1073]), c_0_1074])])).
% 216.11/215.79 thf(c_0_1090, plain, (~p458|~p519), inference(spm,[status(thm)],[c_0_1045, c_0_1075])).
% 216.11/215.79 thf(c_0_1091, plain, p519, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1076, c_0_1074])])).
% 216.11/215.79 thf(c_0_1092, plain, (p400|p439), inference(spm,[status(thm)],[c_0_332, c_0_1077])).
% 216.11/215.79 thf(c_0_1093, plain, (p398|p434), inference(spm,[status(thm)],[c_0_335, c_0_1078])).
% 216.11/215.79 thf(c_0_1094, plain, (p396|p432), inference(spm,[status(thm)],[c_0_338, c_0_1079])).
% 216.11/215.79 thf(c_0_1095, plain, (p508|~p439|~p432), inference(spm,[status(thm)],[c_0_1080, c_0_1081])).
% 216.11/215.79 thf(c_0_1096, plain, (p470|~p439|~p434), inference(spm,[status(thm)],[c_0_1082, c_0_1083])).
% 216.11/215.79 thf(c_0_1097, plain, (p463|p452|~p470), inference(spm,[status(thm)],[c_0_1084, c_0_1085])).
% 216.11/215.79 thf(c_0_1098, plain, (p458|~p463|~p508), inference(spm,[status(thm)],[c_0_1086, c_0_1087])).
% 216.11/215.79 thf(c_0_1099, plain, ~p452, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1088, c_0_1089])])).
% 216.11/215.79 thf(c_0_1100, plain, ~p458, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1090, c_0_1091])])).
% 216.11/215.79 thf(c_0_1101, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_1092, c_0_1093, c_0_1094, c_0_1095, c_0_1096, c_0_1097, c_0_1098, c_0_916, c_0_833, c_0_832, c_0_813, c_0_335, c_0_338, c_0_341, c_0_344, c_0_347, c_0_350, c_0_353, c_0_356, c_0_359, c_0_362, c_0_365, c_0_368, c_0_371, c_0_374, c_0_377, c_0_380, c_0_383, c_0_386, c_0_389, c_0_392, c_0_395, c_0_398, c_0_401, c_0_404, c_0_407, c_0_410, c_0_413, c_0_418, c_0_424, c_0_430, c_0_440, c_0_452, c_0_464, c_0_476, c_0_488, c_0_500, c_0_512, c_0_524, c_0_536, c_0_548, c_0_560, c_0_572, c_0_584, c_0_596, c_0_608, c_0_624, c_0_642, c_0_658, c_0_673, c_0_688, c_0_703, c_0_716, c_0_728, c_0_740, c_0_752, c_0_768, c_0_786, c_0_806, c_0_825, c_0_841, c_0_859, c_0_877, c_0_893, c_0_906, c_0_918, c_0_930, c_0_940, c_0_812, c_0_830, c_0_868, c_0_886, c_0_901, c_0_927, c_0_938, c_0_958, c_0_968, c_0_980, c_0_999, c_0_1020, c_0_1099, c_0_1100, c_0_1022]), ['proof']).
% 216.11/215.79 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 216.11/215.79 thf(0,theorem,((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))) => (((in @ emptyset) @ omega) => ((![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))) => ((![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))) => ((![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))) => ((![X1:$i]:(~((![X2:$i]:((~(((~(((![X3:$i]:(((in @ X3) @ X2) => (![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X1) => (~(((in @ X4) @ X1)))))) => ((![X5:$i]:(((in @ X5) @ X2) => (((in @ X3) @ X5) = ((in @ X4) @ X5)))) => (X3 = X4)))))))))) => (~((![X3:$i]:(![X4:$i]:((~((((in @ X3) @ X2) => (~(((in @ X4) @ X2)))))) => ((~((![X5:$i]:(((in @ X5) @ X3) => ((in @ X5) @ X4))))) => (![X5:$i]:(((in @ X5) @ X4) => ((in @ X5) @ X3)))))))))))) => (~((![X3:$i]:((~(((![X4:$i]:(((in @ X4) @ X3) => ((in @ X4) @ X1))) => (![X4:$i]:(~(((in @ X4) @ X3))))))) => (~((![X4:$i]:(![X5:$i]:((~(((~((((in @ X4) @ X2) => (~(((in @ X5) @ X3)))))) => (~((![X6:$i]:(((in @ X6) @ X4) => (~(((in @ X6) @ X3)))))))))) => (~((![X6:$i]:(((in @ X6) @ X2) => ((~((![X7:$i]:(((in @ X7) @ X6) => ((in @ X7) @ X4))))) => ((in @ X5) @ X6)))))))))))))))))))) => ((![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))) => ((![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))) => ((![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i]:(~(((in @ X1) @ emptyset)))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))) => ((![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))) => (((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:((in @ emptyset) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ X2) @ (powerset @ (setunion @ X1)))))) => ((![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))))) => ((![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((~((X1 = X2))) => (~(((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => ((in @ X2) @ ((setadjoin @ X1) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((((dsetconstr @ X1) @ X2) = emptyset)))))) => ((![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ emptyset) => (X1 @ X2)))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$o]:(X1 => ((in @ emptyset) @ (prop2set @ X1)))) => ((![X1:$o]:(X1 => (set2prop @ (prop2set @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))) => ((![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))) => ((![X1:$i>$o]:((~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))) => (exu @ X1))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => ((![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))) => (exu @ X1)))) => ((![X1:$i>$o]:((~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))) => (exu @ X1))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) => ((in @ X4) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) = ((in @ X4) @ X2)))))))) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) = (exu @ X2))))) => ((emptyset = emptyset) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((setadjoin @ X1) @ X3) = ((setadjoin @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((powerset @ X1) = (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((setunion @ X1) = (setunion @ X2))))) => ((omega = omega) => ((![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((![X1:$i>$o]:(![X2:$i>$o]:((![X3:$i]:(![X4:$i]:((X3 = X4) => ((X1 @ X3) = (X2 @ X4))))) => ((exu @ X1) => ((exu @ X2) => ((descr @ X1) = (descr @ X2))))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i>$o]:(![X4:$i>$o]:((![X5:$i]:(((in @ X5) @ X1) => (![X6:$i]:(((in @ X6) @ X2) => ((X5 = X6) => ((X3 @ X5) = (X4 @ X6))))))) => (((dsetconstr @ X1) @ X3) = ((dsetconstr @ X2) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))) => (((!!) @ (subset @ emptyset)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~(((subset @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((~(((subset @ X1) @ X2))) => (~((X1 = X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~((X1 = X2)))))))) => ((![X1:$i]:((subset @ X1) @ X1)) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X3) => ((subset @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:((subset @ X2) @ ((setadjoin @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X3) => ((subset @ X1) @ ((setadjoin @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((in @ X1) @ (powerset @ X2))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X1) => (X1 = X2))))) => ((![X1:$i]:(((subset @ X1) @ emptyset) => (X1 = emptyset))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => ((in @ X2) @ (powerset @ X1))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) => ((subset @ X2) @ X1)))) => ((![X1:$i]:((in @ X1) @ (powerset @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((subset @ (powerset @ X1)) @ (powerset @ X2))))) => ((![X1:$i]:(![X2:$i>$o]:((in @ ((dsetconstr @ X1) @ X2)) @ (powerset @ X1)))) => ((![X1:$i]:(![X2:$i>$o]:((subset @ ((dsetconstr @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ ((binunion @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((binunion @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$o]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((((in @ X3) @ X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((~(((in @ X3) @ X1))) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:((subset @ X1) @ ((binunion @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:((subset @ X2) @ ((binunion @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => ((in @ X3) @ ((binintersect @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X3) @ X1) => (((subset @ X3) @ X2) => ((subset @ X3) @ ((binintersect @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((binintersect @ X1) @ X2) = X1)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X2) => ((subset @ X2) @ X1)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X2))))) => ((![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X3) @ X2))))) => (((binintersect @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X2))) => ((![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => (((binintersect @ X1) @ X2) = X2)))) => ((![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X1) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((binintersect @ X1) @ ((binunion @ X2) @ X3)) = ((binunion @ ((binintersect @ X1) @ X2)) @ ((binintersect @ X1) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((setminus @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => ((in @ X3) @ X1))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => (~(((in @ X3) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((setminus @ X1) @ X2) = emptyset)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:((subset @ ((setminus @ X1) @ X2)) @ X1))) => ((![X1:$i]:(![X2:$i]:((((setminus @ X1) @ X2) = emptyset) => ((subset @ X1) @ X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((symdiff @ X1) @ X2)) => (![X4:$o]:((((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => X4)) => (((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => X4)) => X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))) => ((![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((in @ X1) @ (setunion @ 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((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3)))))) => (X3 = X4))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ ((funcSet @ X1) @ X2)) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X4) = ((((ap @ X1) @ X2) @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((((lam @ X1) @ X2) @ X3) = (((lam @ X1) @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (![X4:$i]:(((in @ X4) @ X1) => (((((ap @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)) @ X4) = (X3 @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => ((in @ X4) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X4) @ emptyset))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => ((in @ X3) @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X3) @ emptyset))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4)))))))))))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((if @ X1) @ X2) @ X3) @ X4)) @ X1))))))) => ((![X1:$i]:((singleton @ X1) => (![X2:$i]:(((in @ X2) @ X1) => ((setunion @ X1) = X2))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((((if @ X1) @ X2) @ X3) @ X4) = X3)))))))) => ((![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((((if @ X1) @ X2) @ X3) @ X4) = X4)))))))) => (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((if @ X1) @ X2) @ X3) @ X4)) @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 216.11/215.79 % SZS output end Proof
%------------------------------------------------------------------------------