%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU705^1 : 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 : n005.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 02:45:57 PM UTC 2025
% Result : Theorem 215.84s 215.55s
% Output : Proof 215.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU705^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n005.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 20:54:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 215.84/215.55 % SZS status Theorem
% 215.84/215.55 % Mode: mode479:USE_SINE=true:SINE_TOLERANCE=5.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 215.84/215.55 % Inferences: 335
% 215.84/215.55 % SZS output start Proof
% 215.84/215.55 thf(def_setextAx,definition,(setextAx = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))))).
% 215.84/215.55 thf(def_emptysetAx,definition,(emptysetAx = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 215.84/215.55 thf(def_setadjoinAx,definition,(setadjoinAx = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 215.84/215.55 thf(def_powersetAx,definition,(powersetAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 215.84/215.55 thf(def_setunionAx,definition,(setunionAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))))).
% 215.84/215.55 thf(def_omega0Ax,definition,(omega0Ax = ((in @ emptyset) @ omega))).
% 215.84/215.55 thf(def_omegaSAx,definition,(omegaSAx = (![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))))).
% 215.84/215.55 thf(def_omegaIndAx,definition,(omegaIndAx = (![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))))).
% 215.84/215.55 thf(def_replAx,definition,(replAx = (![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))))).
% 215.84/215.55 thf(def_foundationAx,definition,(foundationAx = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))))).
% 215.84/215.55 thf(def_wellorderingAx,definition,(wellorderingAx = (![X1:$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)))))))))))))))))))))).
% 215.84/215.55 thf(def_descrp,definition,(descrp = (![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))))).
% 215.84/215.55 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 215.84/215.55 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 215.84/215.55 thf(def_exuE1,definition,(exuE1 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))))).
% 215.84/215.55 thf(def_prop2setE,definition,(prop2setE = (![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))))).
% 215.84/215.55 thf(def_emptysetE,definition,(emptysetE = (![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))))).
% 215.84/215.55 thf(def_emptysetimpfalse,definition,(emptysetimpfalse = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 215.84/215.55 thf(def_notinemptyset,definition,(notinemptyset = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 215.84/215.55 thf(def_exuE3e,definition,(exuE3e = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))))).
% 215.84/215.55 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 215.84/215.55 thf(def_emptyI,definition,(emptyI = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 215.84/215.55 thf(def_noeltsimpempty,definition,(noeltsimpempty = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 215.84/215.55 thf(def_setbeta,definition,(setbeta = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))))).
% 215.84/215.55 thf(def_nonemptyE1,definition,(nonemptyE1 = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 215.84/215.55 thf(def_nonemptyI,definition,(nonemptyI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_nonemptyI1,definition,(nonemptyI1 = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))))).
% 215.84/215.55 thf(def_setadjoinIL,definition,(setadjoinIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))))).
% 215.84/215.55 thf(def_emptyinunitempty,definition,(emptyinunitempty = ((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)))).
% 215.84/215.55 thf(def_setadjoinIR,definition,(setadjoinIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))))).
% 215.84/215.55 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))))))))).
% 215.84/215.55 thf(def_setadjoinOr,definition,(setadjoinOr = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 215.84/215.55 thf(def_setoftrueEq,definition,(setoftrueEq = (![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)))).
% 215.84/215.55 thf(def_powersetI,definition,(powersetI = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))))).
% 215.84/215.55 thf(def_emptyinPowerset,definition,(emptyinPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 215.84/215.55 thf(def_emptyInPowerset,definition,(emptyInPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 215.84/215.55 thf(def_powersetE,definition,(powersetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 215.84/215.55 thf(def_setunionI,definition,(setunionI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))))).
% 215.84/215.55 thf(def_setunionE,definition,(setunionE = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))))).
% 215.84/215.55 thf(def_subPowSU,definition,(subPowSU = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ X2) @ (powerset @ (setunion @ X1)))))))).
% 215.84/215.55 thf(def_exuE2,definition,(exuE2 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))))))).
% 215.84/215.55 thf(def_nonemptyImpWitness,definition,(nonemptyImpWitness = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 215.84/215.55 thf(def_uniqinunit,definition,(uniqinunit = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 215.84/215.55 thf(def_notinsingleton,definition,(notinsingleton = (![X1:$i]:(![X2:$i]:((~((X1 = X2))) => (~(((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))))).
% 215.84/215.55 thf(def_eqinunit,definition,(eqinunit = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.84/215.55 thf(def_singletonsswitch,definition,(singletonsswitch = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => ((in @ X2) @ ((setadjoin @ X1) @ emptyset))))))).
% 215.84/215.55 thf(def_upairsetE,definition,(upairsetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))))).
% 215.84/215.55 thf(def_upairsetIL,definition,(upairsetIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.84/215.55 thf(def_upairsetIR,definition,(upairsetIR = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.84/215.55 thf(def_emptyE1,definition,(emptyE1 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((((dsetconstr @ X1) @ X2) = emptyset)))))))).
% 215.84/215.55 thf(def_vacuousDall,definition,(vacuousDall = (![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ emptyset) => (X1 @ X2)))))).
% 215.84/215.55 thf(def_quantDeMorgan1,definition,(quantDeMorgan1 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 215.84/215.55 thf(def_quantDeMorgan2,definition,(quantDeMorgan2 = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 215.84/215.55 thf(def_quantDeMorgan3,definition,(quantDeMorgan3 = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 215.84/215.55 thf(def_quantDeMorgan4,definition,(quantDeMorgan4 = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 215.84/215.55 thf(def_prop2setI,definition,(prop2setI = (![X1:$o]:(X1 => ((in @ emptyset) @ (prop2set @ X1)))))).
% 215.84/215.55 thf(def_prop2set2propI,definition,(prop2set2propI = (![X1:$o]:(X1 => (set2prop @ (prop2set @ X1)))))).
% 215.84/215.55 thf(def_notdexE,definition,(notdexE = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))) => (![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))).
% 215.84/215.55 thf(def_notdallE,definition,(notdallE = (![X1:$i]:(![X2:$i>$o]:((~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3))))) => (~((![X3:$i]:(((in @ X3) @ X1) => (X2 @ X3)))))))))).
% 215.84/215.55 thf(def_exuI1,definition,(exuI1 = (![X1:$i>$o]:((~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))) => (exu @ X1))))).
% 215.84/215.55 thf(def_exuI3,definition,(exuI3 = (![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => ((![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))) => (exu @ X1)))))).
% 215.84/215.55 thf(def_exuI2,definition,(exuI2 = (![X1:$i>$o]:((~((![X2:$i]:(~((![X3:$i]:((X1 @ X3) = (X3 = X2)))))))) => (exu @ X1))))).
% 215.84/215.55 thf(def_inCongP,definition,(inCongP = (![X1:$i]:(![X2:$i]:((X1 = X2) => (![X3:$i]:(![X4:$i]:((X3 = X4) => (((in @ X3) @ X1) => ((in @ X4) @ X2)))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_exuE3u,definition,(exuE3u = (![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))))).
% 215.84/215.55 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))))))).
% 215.84/215.55 thf(def_emptyset__Cong,definition,(emptyset__Cong = (emptyset = emptyset))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_powerset__Cong,definition,(powerset__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((powerset @ X1) = (powerset @ X2))))))).
% 215.84/215.55 thf(def_setunion__Cong,definition,(setunion__Cong = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((setunion @ X1) = (setunion @ X2))))))).
% 215.84/215.55 thf(def_omega__Cong,definition,(omega__Cong = (omega = omega))).
% 215.84/215.55 thf(def_exuEu,definition,(exuEu = (![X1:$i>$o]:((exu @ X1) => (![X2:$i]:(![X3:$i]:((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))))).
% 215.84/215.55 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))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_subsetI1,definition,(subsetI1 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))))).
% 215.84/215.55 thf(def_eqimpsubset2,definition,(eqimpsubset2 = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X2) @ X1)))))).
% 215.84/215.55 thf(def_eqimpsubset1,definition,(eqimpsubset1 = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((subset @ X1) @ X2)))))).
% 215.84/215.55 thf(def_subsetI2,definition,(subsetI2 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((subset @ X1) @ X2)))))).
% 215.84/215.55 thf(def_emptysetsubset,definition,(emptysetsubset = ((!!) @ (subset @ emptyset)))).
% 215.84/215.55 thf(def_subsetE,definition,(subsetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))))).
% 215.84/215.55 thf(def_subsetE2,definition,(subsetE2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))))).
% 215.84/215.55 thf(def_notsubsetI,definition,(notsubsetI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~(((subset @ X1) @ X2)))))))))).
% 215.84/215.55 thf(def_notequalI1,definition,(notequalI1 = (![X1:$i]:(![X2:$i]:((~(((subset @ X1) @ X2))) => (~((X1 = X2)))))))).
% 215.84/215.55 thf(def_notequalI2,definition,(notequalI2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => (~((X1 = X2)))))))))).
% 215.84/215.55 thf(def_subsetRefl,definition,(subsetRefl = (![X1:$i]:((subset @ X1) @ X1)))).
% 215.84/215.55 thf(def_subsetTrans,definition,(subsetTrans = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X3) => ((subset @ X1) @ X3)))))))).
% 215.84/215.55 thf(def_setadjoinSub,definition,(setadjoinSub = (![X1:$i]:(![X2:$i]:((subset @ X2) @ ((setadjoin @ X1) @ X2)))))).
% 215.84/215.55 thf(def_setadjoinSub2,definition,(setadjoinSub2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X1) @ X3) => ((subset @ X1) @ ((setadjoin @ X2) @ X3)))))))).
% 215.84/215.55 thf(def_subset2powerset,definition,(subset2powerset = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((in @ X1) @ (powerset @ X2))))))).
% 215.84/215.55 thf(def_setextsub,definition,(setextsub = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((subset @ X2) @ X1) => (X1 = X2))))))).
% 215.84/215.55 thf(def_subsetemptysetimpeq,definition,(subsetemptysetimpeq = (![X1:$i]:(((subset @ X1) @ emptyset) => (X1 = emptyset))))).
% 215.84/215.55 thf(def_powersetI1,definition,(powersetI1 = (![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => ((in @ X2) @ (powerset @ X1))))))).
% 215.84/215.55 thf(def_powersetE1,definition,(powersetE1 = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) => ((subset @ X2) @ X1)))))).
% 215.84/215.55 thf(def_inPowerset,definition,(inPowerset = (![X1:$i]:((in @ X1) @ (powerset @ X1))))).
% 215.84/215.55 thf(def_powersetsubset,definition,(powersetsubset = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => ((subset @ (powerset @ X1)) @ (powerset @ X2))))))).
% 215.84/215.55 thf(def_sepInPowerset,definition,(sepInPowerset = (![X1:$i]:(![X2:$i>$o]:((in @ ((dsetconstr @ X1) @ X2)) @ (powerset @ X1)))))).
% 215.84/215.55 thf(def_sepSubset,definition,(sepSubset = (![X1:$i]:(![X2:$i>$o]:((subset @ ((dsetconstr @ X1) @ X2)) @ X1))))).
% 215.84/215.55 thf(def_binunionIL,definition,(binunionIL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ ((binunion @ X1) @ X2)))))))).
% 215.84/215.55 thf(def_upairset2IR,definition,(upairset2IR = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.84/215.55 thf(def_binunionIR,definition,(binunionIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((binunion @ X1) @ X2)))))))).
% 215.84/215.55 thf(def_binunionEcases,definition,(binunionEcases = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$o]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((((in @ X3) @ X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))))).
% 215.84/215.55 thf(def_binunionE,definition,(binunionE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binunion @ X1) @ X2)) => ((~(((in @ X3) @ X1))) => ((in @ X3) @ X2)))))))).
% 215.84/215.55 thf(def_binunionLsub,definition,(binunionLsub = (![X1:$i]:(![X2:$i]:((subset @ X1) @ ((binunion @ X1) @ X2)))))).
% 215.84/215.55 thf(def_binunionRsub,definition,(binunionRsub = (![X1:$i]:(![X2:$i]:((subset @ X2) @ ((binunion @ X1) @ X2)))))).
% 215.84/215.55 thf(def_binintersectI,definition,(binintersectI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => ((in @ X3) @ ((binintersect @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_binintersectSubset5,definition,(binintersectSubset5 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((subset @ X3) @ X1) => (((subset @ X3) @ X2) => ((subset @ X3) @ ((binintersect @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_binintersectEL,definition,(binintersectEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 215.84/215.55 thf(def_binintersectLsub,definition,(binintersectLsub = (![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X1))))).
% 215.84/215.55 thf(def_binintersectSubset2,definition,(binintersectSubset2 = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((binintersect @ X1) @ X2) = X1)))))).
% 215.84/215.55 thf(def_binintersectSubset3,definition,(binintersectSubset3 = (![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X2) => ((subset @ X2) @ X1)))))).
% 215.84/215.55 thf(def_binintersectER,definition,(binintersectER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((binintersect @ X1) @ X2)) => ((in @ X3) @ X2))))))).
% 215.84/215.55 thf(def_disjointsetsI1,definition,(disjointsetsI1 = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X3) @ X2))))) => (((binintersect @ X1) @ X2) = emptyset)))))).
% 215.84/215.55 thf(def_binintersectRsub,definition,(binintersectRsub = (![X1:$i]:(![X2:$i]:((subset @ ((binintersect @ X1) @ X2)) @ X2))))).
% 215.84/215.55 thf(def_binintersectSubset4,definition,(binintersectSubset4 = (![X1:$i]:(![X2:$i]:(((subset @ X2) @ X1) => (((binintersect @ X1) @ X2) = X2)))))).
% 215.84/215.55 thf(def_binintersectSubset1,definition,(binintersectSubset1 = (![X1:$i]:(![X2:$i]:((((binintersect @ X1) @ X2) = X1) => ((subset @ X1) @ X2)))))).
% 215.84/215.55 thf(def_bs114d,definition,(bs114d = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((binintersect @ X1) @ ((binunion @ X2) @ X3)) = ((binunion @ ((binintersect @ X1) @ X2)) @ ((binintersect @ X1) @ X3)))))))).
% 215.84/215.55 thf(def_setminusI,definition,(setminusI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((setminus @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_setminusEL,definition,(setminusEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 215.84/215.55 thf(def_setminusER,definition,(setminusER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setminus @ X1) @ X2)) => (~(((in @ X3) @ X2))))))))).
% 215.84/215.55 thf(def_setminusSubset2,definition,(setminusSubset2 = (![X1:$i]:(![X2:$i]:(((subset @ X1) @ X2) => (((setminus @ X1) @ X2) = emptyset)))))).
% 215.84/215.55 thf(def_setminusERneg,definition,(setminusERneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => (((in @ X3) @ X1) => ((in @ X3) @ X2)))))))).
% 215.84/215.55 thf(def_setminusELneg,definition,(setminusELneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ ((setminus @ X1) @ X2)))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ X1)))))))))).
% 215.84/215.55 thf(def_setminusILneg,definition,(setminusILneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))))).
% 215.84/215.55 thf(def_setminusIRneg,definition,(setminusIRneg = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ ((setminus @ X1) @ X2)))))))))).
% 215.84/215.55 thf(def_setminusLsub,definition,(setminusLsub = (![X1:$i]:(![X2:$i]:((subset @ ((setminus @ X1) @ X2)) @ X1))))).
% 215.84/215.55 thf(def_setminusSubset1,definition,(setminusSubset1 = (![X1:$i]:(![X2:$i]:((((setminus @ X1) @ X2) = emptyset) => ((subset @ X1) @ X2)))))).
% 215.84/215.55 thf(def_symdiffE,definition,(symdiffE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((symdiff @ X1) @ X2)) => (![X4:$o]:((((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => X4)) => (((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => X4)) => X4))))))))).
% 215.84/215.55 thf(def_symdiffI1,definition,(symdiffI1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((~(((in @ X3) @ X2))) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_symdiffI2,definition,(symdiffI2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => (((in @ X3) @ X2) => ((in @ X3) @ ((symdiff @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_symdiffIneg1,definition,(symdiffIneg1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ X2) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))))).
% 215.84/215.55 thf(def_symdiffIneg2,definition,(symdiffIneg2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((in @ X3) @ X1))) => ((~(((in @ X3) @ X2))) => (~(((in @ X3) @ ((symdiff @ X1) @ X2))))))))))).
% 215.84/215.55 thf(def_secondinupair,definition,(secondinupair = (![X1:$i]:(![X2:$i]:((in @ X2) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.84/215.55 thf(def_setukpairIL,definition,(setukpairIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))))).
% 215.84/215.55 thf(def_setukpairIR,definition,(setukpairIR = (![X1:$i]:(![X2:$i]:((in @ X2) @ (setunion @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)))))))).
% 215.84/215.55 thf(def_kpairiskpair,definition,(kpairiskpair = (![X1:$i]:(![X2:$i]:(iskpair @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))))))).
% 215.84/215.55 thf(def_kpairp,definition,(kpairp = (![X1:$i]:(![X2:$i]:(iskpair @ ((kpair @ X1) @ X2)))))).
% 215.84/215.55 thf(def_singletonsubset,definition,(singletonsubset = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((subset @ ((setadjoin @ X2) @ emptyset)) @ X1)))))).
% 215.84/215.55 thf(def_singletoninpowerset,definition,(singletoninpowerset = (![X1:$i]:(![X2:$i]:(((in @ X2) @ X1) => ((in @ ((setadjoin @ X2) @ emptyset)) @ (powerset @ X1))))))).
% 215.84/215.55 thf(def_singletoninpowunion,definition,(singletoninpowunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => ((in @ ((setadjoin @ X3) @ emptyset)) @ (powerset @ ((binunion @ X1) @ X2))))))))).
% 215.84/215.55 thf(def_upairset2E,definition,(upairset2E = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) => ((~((X3 = X1))) => (X3 = X2)))))))).
% 215.84/215.55 thf(def_upairsubunion,definition,(upairsubunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((subset @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ ((binunion @ X1) @ X2)))))))))).
% 215.84/215.55 thf(def_upairinpowunion,definition,(upairinpowunion = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ (powerset @ ((binunion @ X1) @ X2))))))))))).
% 215.84/215.55 thf(def_ubforcartprodlem1,definition,(ubforcartprodlem1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((subset @ ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) @ (powerset @ ((binunion @ X1) @ X2))))))))))).
% 215.84/215.55 thf(def_ubforcartprodlem2,definition,(ubforcartprodlem2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) @ (powerset @ (powerset @ ((binunion @ X1) @ X2)))))))))))).
% 215.84/215.55 thf(def_ubforcartprodlem3,definition,(ubforcartprodlem3 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ (powerset @ (powerset @ ((binunion @ X1) @ X2)))))))))))).
% 215.84/215.55 thf(def_cartprodpairin,definition,(cartprodpairin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)))))))))).
% 215.84/215.55 thf(def_cartprodmempair1,definition,(cartprodmempair1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (~((![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (~((X3 = ((kpair @ X4) @ X5)))))))))))))))).
% 215.84/215.55 thf(def_cartprodmempair,definition,(cartprodmempair = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (iskpair @ X3))))))).
% 215.84/215.55 thf(def_setunionE2,definition,(setunionE2 = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (~((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X2) @ X3)))))))))))).
% 215.84/215.55 thf(def_setunionsingleton1,definition,(setunionsingleton1 = (![X1:$i]:((subset @ (setunion @ ((setadjoin @ X1) @ emptyset))) @ X1)))).
% 215.84/215.55 thf(def_setunionsingleton2,definition,(setunionsingleton2 = (![X1:$i]:((subset @ X1) @ (setunion @ ((setadjoin @ X1) @ emptyset)))))).
% 215.84/215.55 thf(def_setunionsingleton,definition,(setunionsingleton = (![X1:$i]:((setunion @ ((setadjoin @ X1) @ emptyset)) = X1)))).
% 215.84/215.55 thf(def_singletonprop,definition,(singletonprop = (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (singleton @ ((dsetconstr @ X1) @ X2)))))))).
% 215.84/215.55 thf(def_ex1E1,definition,(ex1E1 = (![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))))).
% 215.84/215.55 thf(def_ex1I,definition,(ex1I = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => ((ex1 @ X1) @ X2))))))))).
% 215.84/215.55 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))))))).
% 215.84/215.55 thf(def_singletonsuniq,definition,(singletonsuniq = (![X1:$i]:(![X2:$i]:((((setadjoin @ X1) @ emptyset) = ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 215.84/215.55 thf(def_setukpairinjL1,definition,(setukpairinjL1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))) => (X1 = X3))))))).
% 215.84/215.55 thf(def_kfstsingleton,definition,(kfstsingleton = (![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:((in @ ((setadjoin @ X2) @ emptyset)) @ X1)))))))).
% 215.84/215.55 thf(def_theprop,definition,(theprop = (![X1:$i]:((singleton @ X1) => ((in @ (setunion @ X1)) @ X1))))).
% 215.84/215.55 thf(def_kfstpairEq,definition,(kfstpairEq = (![X1:$i]:(![X2:$i]:((kfst @ ((kpair @ X1) @ X2)) = X1))))).
% 215.84/215.55 thf(def_cartprodfstin,definition,(cartprodfstin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (kfst @ X3)) @ X1))))))).
% 215.84/215.55 thf(def_setukpairinjL2,definition,(setukpairinjL2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => (X1 = X3)))))))).
% 215.84/215.55 thf(def_setukpairinjL,definition,(setukpairinjL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X1 = X3)))))))).
% 215.84/215.55 thf(def_setukpairinjR11,definition,(setukpairinjR11 = (![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X1) @ emptyset))))))).
% 215.84/215.55 thf(def_setukpairinjR12,definition,(setukpairinjR12 = (![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ emptyset))))))).
% 215.84/215.55 thf(def_setukpairinjR1,definition,(setukpairinjR1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => ((X3 = X4) => (X2 = X4))))))))).
% 215.84/215.55 thf(def_upairequniteq,definition,(upairequniteq = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2))))))).
% 215.84/215.55 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)))))))).
% 215.84/215.55 thf(def_setukpairinjR,definition,(setukpairinjR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X2 = X4)))))))).
% 215.84/215.55 thf(def_ksndsingleton,definition,(ksndsingleton = (![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:(X1 = ((kpair @ (kfst @ X1)) @ X2))))))))).
% 215.84/215.55 thf(def_ksndpairEq,definition,(ksndpairEq = (![X1:$i]:(![X2:$i]:((ksnd @ ((kpair @ X1) @ X2)) = X2))))).
% 215.84/215.55 thf(def_kpairsurjEq,definition,(kpairsurjEq = (![X1:$i]:((iskpair @ X1) => (((kpair @ (kfst @ X1)) @ (ksnd @ X1)) = X1))))).
% 215.84/215.55 thf(def_cartprodsndin,definition,(cartprodsndin = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (ksnd @ X3)) @ X2))))))).
% 215.84/215.55 thf(def_cartprodpairmemEL,definition,(cartprodpairmemEL = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X3) @ X1)))))))).
% 215.84/215.55 thf(def_cartprodpairmemER,definition,(cartprodpairmemER = (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X4) @ X2)))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_cartprodfstpairEq,definition,(cartprodfstpairEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((kfst @ ((kpair @ X3) @ X4)) = X3))))))))).
% 215.84/215.55 thf(def_cartprodsndpairEq,definition,(cartprodsndpairEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((ksnd @ ((kpair @ X3) @ X4)) = X4))))))))).
% 215.84/215.55 thf(def_cartprodpairsurjEq,definition,(cartprodpairsurjEq = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (((kpair @ (kfst @ X3)) @ (ksnd @ X3)) = X3))))))).
% 215.84/215.55 thf(def_dpsetconstrI,definition,(dpsetconstrI = (![X1:$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)))))))))))).
% 215.84/215.55 thf(def_dpsetconstrSub,definition,(dpsetconstrSub = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:((subset @ (((dpsetconstr @ X1) @ X2) @ X3)) @ ((cartprod @ X1) @ X2))))))).
% 215.84/215.55 thf(def_setOfPairsIsBReln,definition,(setOfPairsIsBReln = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(((breln @ X1) @ X2) @ (((dpsetconstr @ X1) @ X2) @ X3))))))).
% 215.84/215.55 thf(def_dpsetconstrERa,definition,(dpsetconstrERa = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))))))).
% 215.84/215.55 thf(def_dpsetconstrEL1,definition,(dpsetconstrEL1 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X4) @ X1))))))))).
% 215.84/215.55 thf(def_dpsetconstrEL2,definition,(dpsetconstrEL2 = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((in @ X5) @ X2))))))))).
% 215.84/215.55 thf(def_dpsetconstrER,definition,(dpsetconstrER = (![X1:$i]:(![X2:$i]:(![X3:$i>$i>$o]:(![X4:$i]:(![X5:$i]:(((in @ ((kpair @ X4) @ X5)) @ (((dpsetconstr @ X1) @ X2) @ X3)) => ((X3 @ X4) @ X5))))))))).
% 215.84/215.55 thf(def_funcImageSingleton,definition,(funcImageSingleton = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X2) @ (^[X5:$i]:((in @ ((kpair @ X4) @ X5)) @ X3)))))))))))).
% 215.84/215.55 thf(def_apProp,definition,(apProp = (![X1:$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))))))))).
% 215.84/215.55 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))))))))).
% 215.84/215.55 thf(def_infuncsetfunc,definition,(infuncsetfunc = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (((func @ X1) @ X2) @ X3))))))).
% 215.84/215.55 thf(def_ap2p,definition,(ap2p = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))))).
% 215.84/215.55 thf(def_funcinfuncset,definition,(funcinfuncset = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((in @ X3) @ ((funcSet @ X1) @ X2)))))))).
% 215.84/215.55 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))))))))))).
% 215.84/215.55 thf(def_lamp,definition,(lamp = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (((func @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)))))))).
% 215.84/215.55 thf(def_lam2p,definition,(lam2p = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((in @ (((lam @ X1) @ X2) @ X3)) @ ((funcSet @ X1) @ X2)))))))).
% 215.84/215.55 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))))))))))).
% 215.84/215.55 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))))))))))).
% 215.84/215.55 thf(def_ex1E2,definition,(ex1E2 = (![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4)))))))))))).
% 215.84/215.55 thf(def_funcGraphProp1,definition,(funcGraphProp1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))))).
% 215.84/215.55 thf(def_funcGraphProp3,definition,(funcGraphProp3 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => (![X4:$i]:(((in @ X4) @ X1) => ((in @ ((kpair @ X4) @ ((((ap @ X1) @ X2) @ X3) @ X4))) @ X3))))))))).
% 215.84/215.55 thf(def_funcGraphProp2,definition,(funcGraphProp2 = (![X1:$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)))))))))))).
% 215.84/215.55 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:$i]:(((in @ X6) @ X2) => (((in @ ((kpair @ X5) @ X6)) @ X4) => ((in @ ((kpair @ X5) @ X6)) @ X3))))))))))))))).
% 215.84/215.55 thf(def_funcGraphProp4,definition,(funcGraphProp4 = (![X1:$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)))))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 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))))))))))).
% 215.84/215.55 thf(def_funcext,definition,(funcext = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => (![X4:$i]:((((func @ X1) @ X2) @ X4) => ((![X5:$i]:(((in @ X5) @ X1) => (((((ap @ X1) @ X2) @ X3) @ X5) = ((((ap @ X1) @ X2) @ X4) @ X5)))) => (X3 = X4)))))))))).
% 215.84/215.55 thf(def_funcext2,definition,(funcext2 = (![X1:$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)))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_eta1,definition,(eta1 = (![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))))).
% 215.84/215.55 thf(def_lam2lamEq,definition,(lam2lamEq = (![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((((lam @ X1) @ X2) @ X3) = (((lam @ X1) @ X2) @ X3)))))))).
% 215.84/215.55 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)))))))))).
% 215.84/215.55 thf(def_eta2,definition,(eta2 = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((funcSet @ X1) @ X2)) => ((((lam @ X1) @ X2) @ (((ap @ X1) @ X2) @ X3)) = X3))))))).
% 215.84/215.55 thf(def_iffalseProp1,definition,(iffalseProp1 = (![X1:$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))))))))))))))))))).
% 215.84/215.55 thf(def_iffalseProp2,definition,(iffalseProp2 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((~(X2)) => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X4) @ emptyset))))))))))).
% 215.84/215.55 thf(def_iftrueProp1,definition,(iftrueProp1 = (![X1:$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))))))))))))))))))).
% 215.84/215.55 thf(def_iftrueProp2,definition,(iftrueProp2 = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (X2 => (((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))) = ((setadjoin @ X3) @ emptyset))))))))))).
% 215.84/215.55 thf(def_ifSingleton,definition,(ifSingleton = (![X1:$i]:(![X2:$o]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => (singleton @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4)))))))))))))))))).
% 215.84/215.55 thf(def_if,definition,(if = (^[X1:$i]:(^[X2:$o]:(^[X3:$i]:(^[X4:$i]:(setunion @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4)))))))))))))))).
% 215.84/215.55 thf(ifp,conjecture,((![X1:$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:$i]:(((in @ 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@ X1)))) => (X1 = emptyset))) => ((![X1:$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) @ 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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)))))))) => 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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 @ (setunion @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))) @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),inference(assume_negation,[status(cth)],[ifp])).
% 215.84/215.56 thf(ax166, axiom, (p428|~(p429)), file('<stdin>', ax166)).
% 215.84/215.56 thf(ax165, axiom, (p429|~(p430)), file('<stdin>', ax165)).
% 215.84/215.56 thf(ax167, axiom, (p427|~(p428)), file('<stdin>', ax167)).
% 215.84/215.56 thf(ax168, axiom, (p425|~(p427)), file('<stdin>', ax168)).
% 215.84/215.56 thf(ax163, axiom, (p430|~(p432)), file('<stdin>', ax163)).
% 215.84/215.56 thf(ax162, axiom, (p432|~(p433)), file('<stdin>', ax162)).
% 215.84/215.56 thf(ax170, axiom, (p423|~(p425)), file('<stdin>', ax170)).
% 215.84/215.56 thf(ax172, axiom, (p421|~(p423)), file('<stdin>', ax172)).
% 215.84/215.56 thf(ax174, axiom, (p419|~(p421)), file('<stdin>', ax174)).
% 215.84/215.56 thf(ax176, axiom, (p417|~(p419)), file('<stdin>', ax176)).
% 215.84/215.56 thf(ax184, axiom, (p410|~(p412)), file('<stdin>', ax184)).
% 215.84/215.56 thf(ax182, axiom, (p412|~(p414)), file('<stdin>', ax182)).
% 215.84/215.56 thf(ax178, axiom, (p415|~(p417)), file('<stdin>', ax178)).
% 215.84/215.56 thf(ax186, axiom, (p408|~(p410)), file('<stdin>', ax186)).
% 215.84/215.56 thf(ax180, axiom, (p414|~(p415)), file('<stdin>', ax180)).
% 215.84/215.56 thf(ax188, axiom, (p406|~(p408)), file('<stdin>', ax188)).
% 215.84/215.56 thf(ax190, axiom, (p404|~(p406)), file('<stdin>', ax190)).
% 215.84/215.56 thf(ax192, axiom, (p402|~(p404)), file('<stdin>', ax192)).
% 215.84/215.56 thf(ax194, axiom, (p400|~(p402)), file('<stdin>', ax194)).
% 215.84/215.56 thf(ax196, axiom, (p398|~(p400)), file('<stdin>', ax196)).
% 215.84/215.56 thf(ax198, axiom, (p396|~(p398)), file('<stdin>', ax198)).
% 215.84/215.56 thf(ax200, axiom, (p394|~(p396)), file('<stdin>', ax200)).
% 215.84/215.56 thf(ax202, axiom, (p392|~(p394)), file('<stdin>', ax202)).
% 215.84/215.56 thf(ax204, axiom, (p390|~(p392)), file('<stdin>', ax204)).
% 215.84/215.56 thf(ax206, axiom, (p388|~(p390)), file('<stdin>', ax206)).
% 215.84/215.56 thf(ax208, axiom, (p386|~(p388)), file('<stdin>', ax208)).
% 215.84/215.56 thf(ax210, axiom, (p384|~(p386)), file('<stdin>', ax210)).
% 215.84/215.56 thf(ax212, axiom, (p383|~(p384)), file('<stdin>', ax212)).
% 215.84/215.56 thf(ax214, axiom, (p381|~(p383)), file('<stdin>', ax214)).
% 215.84/215.56 thf(ax216, axiom, (p379|~(p381)), file('<stdin>', ax216)).
% 215.84/215.56 thf(ax218, axiom, (p377|~(p379)), file('<stdin>', ax218)).
% 215.84/215.56 thf(ax220, axiom, (p375|~(p377)), file('<stdin>', ax220)).
% 215.84/215.56 thf(ax222, axiom, (p373|~(p375)), file('<stdin>', ax222)).
% 215.84/215.56 thf(ax224, axiom, (p371|~(p373)), file('<stdin>', ax224)).
% 215.84/215.56 thf(ax226, axiom, (p369|~(p371)), file('<stdin>', ax226)).
% 215.84/215.56 thf(ax228, axiom, (p367|~(p369)), file('<stdin>', ax228)).
% 215.84/215.56 thf(ax230, axiom, (p365|~(p367)), file('<stdin>', ax230)).
% 215.84/215.56 thf(ax232, axiom, (p363|~(p365)), file('<stdin>', ax232)).
% 215.84/215.56 thf(ax234, axiom, (p361|~(p363)), file('<stdin>', ax234)).
% 215.84/215.56 thf(ax236, axiom, (p359|~(p361)), file('<stdin>', ax236)).
% 215.84/215.56 thf(ax238, axiom, (p357|~(p359)), file('<stdin>', ax238)).
% 215.84/215.56 thf(ax240, axiom, (p355|~(p357)), file('<stdin>', ax240)).
% 215.84/215.56 thf(ax242, axiom, (p353|~(p355)), file('<stdin>', ax242)).
% 215.84/215.56 thf(ax244, axiom, (p351|~(p353)), file('<stdin>', ax244)).
% 215.84/215.56 thf(ax246, axiom, (p349|~(p351)), file('<stdin>', ax246)).
% 215.84/215.56 thf(ax248, axiom, (p347|~(p349)), file('<stdin>', ax248)).
% 215.84/215.56 thf(ax250, axiom, (p345|~(p347)), file('<stdin>', ax250)).
% 215.84/215.56 thf(ax414, axiom, (p184|~(p186)), file('<stdin>', ax414)).
% 215.84/215.56 thf(ax412, axiom, (p186|~(p188)), file('<stdin>', ax412)).
% 215.84/215.56 thf(ax252, axiom, (p343|~(p345)), file('<stdin>', ax252)).
% 215.84/215.56 thf(ax416, axiom, (p182|~(p184)), file('<stdin>', ax416)).
% 215.84/215.56 thf(ax254, axiom, (p341|~(p343)), file('<stdin>', ax254)).
% 215.84/215.56 thf(ax418, axiom, (p180|~(p182)), file('<stdin>', ax418)).
% 215.84/215.56 thf(ax256, axiom, (p339|~(p341)), file('<stdin>', ax256)).
% 215.84/215.56 thf(ax608, axiom, (p1|~(p3)), file('<stdin>', ax608)).
% 215.84/215.56 thf(ax610, axiom, ~(p1), file('<stdin>', ax610)).
% 215.84/215.56 thf(ax420, axiom, (p178|~(p180)), file('<stdin>', ax420)).
% 215.84/215.56 thf(ax348, axiom, (p249|~(p251)), file('<stdin>', ax348)).
% 215.84/215.56 thf(ax346, axiom, (p251|~(p253)), file('<stdin>', ax346)).
% 215.84/215.56 thf(ax258, axiom, (p337|~(p339)), file('<stdin>', ax258)).
% 215.84/215.56 thf(ax606, axiom, (p3|~(p5)), file('<stdin>', ax606)).
% 215.84/215.56 thf(ax422, axiom, (p176|~(p178)), file('<stdin>', ax422)).
% 215.84/215.56 thf(ax350, axiom, (p247|~(p249)), file('<stdin>', ax350)).
% 215.84/215.56 thf(ax260, axiom, (p335|~(p337)), file('<stdin>', ax260)).
% 215.84/215.56 thf(ax604, axiom, (p5|~(p7)), file('<stdin>', ax604)).
% 215.84/215.56 thf(ax424, axiom, (p174|~(p176)), file('<stdin>', ax424)).
% 215.84/215.56 thf(ax352, axiom, (p245|~(p247)), file('<stdin>', ax352)).
% 215.84/215.56 thf(ax262, axiom, (p333|~(p335)), file('<stdin>', ax262)).
% 215.84/215.56 thf(ax602, axiom, (p7|~(p9)), file('<stdin>', ax602)).
% 215.84/215.56 thf(ax426, axiom, (p172|~(p174)), file('<stdin>', ax426)).
% 215.84/215.56 thf(ax354, axiom, (p243|~(p245)), file('<stdin>', ax354)).
% 215.84/215.56 thf(ax264, axiom, (p331|~(p333)), file('<stdin>', ax264)).
% 215.84/215.56 thf(ax600, axiom, (p9|~(p11)), file('<stdin>', ax600)).
% 215.84/215.56 thf(ax428, axiom, (p170|~(p172)), file('<stdin>', ax428)).
% 215.84/215.56 thf(ax356, axiom, (p241|~(p243)), file('<stdin>', ax356)).
% 215.84/215.56 thf(ax266, axiom, (p329|~(p331)), file('<stdin>', ax266)).
% 215.84/215.56 thf(ax598, axiom, (p11|~(p13)), file('<stdin>', ax598)).
% 215.84/215.56 thf(ax430, axiom, (p168|~(p170)), file('<stdin>', ax430)).
% 215.84/215.56 thf(ax358, axiom, (p239|~(p241)), file('<stdin>', ax358)).
% 215.84/215.56 thf(ax268, axiom, (p327|~(p329)), file('<stdin>', ax268)).
% 215.84/215.56 thf(ax596, axiom, (p13|~(p15)), file('<stdin>', ax596)).
% 215.84/215.56 thf(ax432, axiom, (p166|~(p168)), file('<stdin>', ax432)).
% 215.84/215.56 thf(ax360, axiom, (p237|~(p239)), file('<stdin>', ax360)).
% 215.84/215.56 thf(ax270, axiom, (p325|~(p327)), file('<stdin>', ax270)).
% 215.84/215.56 thf(ax594, axiom, (p15|~(p17)), file('<stdin>', ax594)).
% 215.84/215.56 thf(ax434, axiom, (p164|~(p166)), file('<stdin>', ax434)).
% 215.84/215.56 thf(ax362, axiom, (p235|~(p237)), file('<stdin>', ax362)).
% 215.84/215.56 thf(ax272, axiom, (p323|~(p325)), file('<stdin>', ax272)).
% 215.84/215.56 thf(ax592, axiom, (p17|~(p19)), file('<stdin>', ax592)).
% 215.84/215.56 thf(ax436, axiom, (p162|~(p164)), file('<stdin>', ax436)).
% 215.84/215.56 thf(ax364, axiom, (p233|~(p235)), file('<stdin>', ax364)).
% 215.84/215.56 thf(ax274, axiom, (p321|~(p323)), file('<stdin>', ax274)).
% 215.84/215.56 thf(ax590, axiom, (p19|~(p21)), file('<stdin>', ax590)).
% 215.84/215.56 thf(ax438, axiom, (p160|~(p162)), file('<stdin>', ax438)).
% 215.84/215.56 thf(ax366, axiom, (p231|~(p233)), file('<stdin>', ax366)).
% 215.84/215.56 thf(ax276, axiom, (p319|~(p321)), file('<stdin>', ax276)).
% 215.84/215.56 thf(ax588, axiom, (p21|~(p23)), file('<stdin>', ax588)).
% 215.84/215.56 thf(ax440, axiom, (p158|~(p160)), file('<stdin>', ax440)).
% 215.84/215.56 thf(ax368, axiom, (p229|~(p231)), file('<stdin>', ax368)).
% 215.84/215.56 thf(ax278, axiom, (p317|~(p319)), file('<stdin>', ax278)).
% 215.84/215.56 thf(ax586, axiom, (p23|~(p25)), file('<stdin>', ax586)).
% 215.84/215.56 thf(ax442, axiom, (p156|~(p158)), file('<stdin>', ax442)).
% 215.84/215.56 thf(ax370, axiom, (p227|~(p229)), file('<stdin>', ax370)).
% 215.84/215.56 thf(ax280, axiom, (p315|~(p317)), file('<stdin>', ax280)).
% 215.84/215.56 thf(ax584, axiom, (p25|~(p27)), file('<stdin>', ax584)).
% 215.84/215.56 thf(ax444, axiom, (p154|~(p156)), file('<stdin>', ax444)).
% 215.84/215.56 thf(ax372, axiom, (p225|~(p227)), file('<stdin>', ax372)).
% 215.84/215.56 thf(ax282, axiom, (p313|~(p315)), file('<stdin>', ax282)).
% 215.84/215.56 thf(ax582, axiom, (p27|~(p29)), file('<stdin>', ax582)).
% 215.84/215.56 thf(ax446, axiom, (p152|~(p154)), file('<stdin>', ax446)).
% 215.84/215.56 thf(ax374, axiom, (p223|~(p225)), file('<stdin>', ax374)).
% 215.84/215.56 thf(ax284, axiom, (p311|~(p313)), file('<stdin>', ax284)).
% 215.84/215.56 thf(ax580, axiom, (p29|~(p31)), file('<stdin>', ax580)).
% 215.84/215.56 thf(ax448, axiom, (p150|~(p152)), file('<stdin>', ax448)).
% 215.84/215.56 thf(ax376, axiom, (p221|~(p223)), file('<stdin>', ax376)).
% 215.84/215.56 thf(ax286, axiom, (p309|~(p311)), file('<stdin>', ax286)).
% 215.84/215.56 thf(ax578, axiom, (p31|~(p33)), file('<stdin>', ax578)).
% 215.84/215.56 thf(ax468, axiom, (p132|~(p134)), file('<stdin>', ax468)).
% 215.84/215.56 thf(ax466, axiom, (p134|~(p136)), file('<stdin>', ax466)).
% 215.84/215.56 thf(ax456, axiom, (p143|~(p145)), file('<stdin>', ax456)).
% 215.84/215.56 thf(ax454, axiom, (p145|~(p147)), file('<stdin>', ax454)).
% 215.84/215.56 thf(ax450, axiom, (p148|~(p150)), file('<stdin>', ax450)).
% 215.84/215.56 thf(ax378, axiom, (p219|~(p221)), file('<stdin>', ax378)).
% 215.84/215.56 thf(ax288, axiom, (p307|~(p309)), file('<stdin>', ax288)).
% 215.84/215.56 thf(ax576, axiom, (p33|~(p35)), file('<stdin>', ax576)).
% 215.84/215.56 thf(ax470, axiom, (p130|~(p132)), file('<stdin>', ax470)).
% 215.84/215.56 thf(ax458, axiom, (p141|~(p143)), file('<stdin>', ax458)).
% 215.84/215.56 thf(ax452, axiom, (p147|~(p148)), file('<stdin>', ax452)).
% 215.84/215.56 thf(ax380, axiom, (p217|~(p219)), file('<stdin>', ax380)).
% 215.84/215.56 thf(ax290, axiom, (p305|~(p307)), file('<stdin>', ax290)).
% 215.84/215.56 thf(ax574, axiom, (p35|~(p37)), file('<stdin>', ax574)).
% 215.84/215.56 thf(ax472, axiom, (p128|~(p130)), file('<stdin>', ax472)).
% 215.84/215.56 thf(ax382, axiom, (p215|~(p217)), file('<stdin>', ax382)).
% 215.84/215.56 thf(ax292, axiom, (p303|~(p305)), file('<stdin>', ax292)).
% 215.84/215.56 thf(ax572, axiom, (p37|~(p38)), file('<stdin>', ax572)).
% 215.84/215.56 thf(ax474, axiom, (p126|~(p128)), file('<stdin>', ax474)).
% 215.84/215.56 thf(ax460, axiom, (p139|~(p141)), file('<stdin>', ax460)).
% 215.84/215.56 thf(ax384, axiom, (p213|~(p215)), file('<stdin>', ax384)).
% 215.84/215.56 thf(ax294, axiom, (p301|~(p303)), file('<stdin>', ax294)).
% 215.84/215.56 thf(ax570, axiom, (p38|~(p39)), file('<stdin>', ax570)).
% 215.84/215.56 thf(ax476, axiom, (p124|~(p126)), file('<stdin>', ax476)).
% 215.84/215.56 thf(ax462, axiom, (p137|~(p139)), file('<stdin>', ax462)).
% 215.84/215.56 thf(ax386, axiom, (p211|~(p213)), file('<stdin>', ax386)).
% 215.84/215.56 thf(ax296, axiom, (p299|~(p301)), file('<stdin>', ax296)).
% 215.84/215.56 thf(ax568, axiom, (p39|~(p41)), file('<stdin>', ax568)).
% 215.84/215.56 thf(ax478, axiom, (p122|~(p124)), file('<stdin>', ax478)).
% 215.84/215.56 thf(ax464, axiom, (p136|~(p137)), file('<stdin>', ax464)).
% 215.84/215.56 thf(ax388, axiom, (p209|~(p211)), file('<stdin>', ax388)).
% 215.84/215.56 thf(ax298, axiom, (p297|~(p299)), file('<stdin>', ax298)).
% 215.84/215.56 thf(ax566, axiom, (p41|~(p43)), file('<stdin>', ax566)).
% 215.84/215.56 thf(ax390, axiom, (p207|~(p209)), file('<stdin>', ax390)).
% 215.84/215.56 thf(ax300, axiom, (p295|~(p297)), file('<stdin>', ax300)).
% 215.84/215.56 thf(ax564, axiom, (p43|~(p45)), file('<stdin>', ax564)).
% 215.84/215.56 thf(ax480, axiom, (p120|~(p122)), file('<stdin>', ax480)).
% 215.84/215.56 thf(ax392, axiom, (p205|~(p207)), file('<stdin>', ax392)).
% 215.84/215.56 thf(ax302, axiom, (p293|~(p295)), file('<stdin>', ax302)).
% 215.84/215.56 thf(ax562, axiom, (p45|~(p46)), file('<stdin>', ax562)).
% 215.84/215.56 thf(ax482, axiom, (p118|~(p120)), file('<stdin>', ax482)).
% 215.84/215.56 thf(ax394, axiom, (p203|~(p205)), file('<stdin>', ax394)).
% 215.84/215.56 thf(ax304, axiom, (p291|~(p293)), file('<stdin>', ax304)).
% 215.84/215.56 thf(ax560, axiom, (p46|~(p48)), file('<stdin>', ax560)).
% 215.84/215.56 thf(ax484, axiom, (p116|~(p118)), file('<stdin>', ax484)).
% 215.84/215.56 thf(ax396, axiom, (p201|~(p203)), file('<stdin>', ax396)).
% 215.84/215.56 thf(ax306, axiom, (p289|~(p291)), file('<stdin>', ax306)).
% 215.84/215.56 thf(ax558, axiom, (p48|~(p50)), file('<stdin>', ax558)).
% 215.84/215.56 thf(ax496, axiom, (p106|~(p108)), file('<stdin>', ax496)).
% 215.84/215.56 thf(ax494, axiom, (p108|~(p110)), file('<stdin>', ax494)).
% 215.84/215.56 thf(ax486, axiom, (p114|~(p116)), file('<stdin>', ax486)).
% 215.84/215.56 thf(ax398, axiom, (p199|~(p201)), file('<stdin>', ax398)).
% 215.84/215.56 thf(ax332, axiom, (p264|~(p266)), file('<stdin>', ax332)).
% 215.84/215.56 thf(ax330, axiom, (p266|~(p268)), file('<stdin>', ax330)).
% 215.84/215.56 thf(ax308, axiom, (p287|~(p289)), file('<stdin>', ax308)).
% 215.84/215.56 thf(ax556, axiom, (p50|~(p52)), file('<stdin>', ax556)).
% 215.84/215.56 thf(ax498, axiom, (p105|~(p106)), file('<stdin>', ax498)).
% 215.84/215.56 thf(ax488, axiom, (p112|~(p114)), file('<stdin>', ax488)).
% 215.84/215.56 thf(ax400, axiom, (p197|~(p199)), file('<stdin>', ax400)).
% 215.84/215.56 thf(ax334, axiom, (p262|~(p264)), file('<stdin>', ax334)).
% 215.84/215.56 thf(ax310, axiom, (p285|~(p287)), file('<stdin>', ax310)).
% 215.84/215.56 thf(ax554, axiom, (p52|~(p54)), file('<stdin>', ax554)).
% 215.84/215.56 thf(ax502, axiom, (p102|~(p104)), file('<stdin>', ax502)).
% 215.84/215.56 thf(ax500, axiom, (p104|~(p105)), file('<stdin>', ax500)).
% 215.84/215.56 thf(ax492, axiom, (p110|~(p111)), file('<stdin>', ax492)).
% 215.84/215.56 thf(ax490, axiom, (p111|~(p112)), file('<stdin>', ax490)).
% 215.84/215.56 thf(ax402, axiom, (p195|~(p197)), file('<stdin>', ax402)).
% 215.84/215.56 thf(ax336, axiom, (p260|~(p262)), file('<stdin>', ax336)).
% 215.84/215.56 thf(ax312, axiom, (p283|~(p285)), file('<stdin>', ax312)).
% 215.84/215.56 thf(ax552, axiom, (p54|~(p56)), file('<stdin>', ax552)).
% 215.84/215.56 thf(ax504, axiom, (p100|~(p102)), file('<stdin>', ax504)).
% 215.84/215.56 thf(ax404, axiom, (p193|~(p195)), file('<stdin>', ax404)).
% 215.84/215.56 thf(ax338, axiom, (p258|~(p260)), file('<stdin>', ax338)).
% 215.84/215.56 thf(ax314, axiom, (p281|~(p283)), file('<stdin>', ax314)).
% 215.84/215.56 thf(ax550, axiom, (p56|~(p58)), file('<stdin>', ax550)).
% 215.84/215.56 thf(ax406, axiom, (p191|~(p193)), file('<stdin>', ax406)).
% 215.84/215.56 thf(ax340, axiom, (p256|~(p258)), file('<stdin>', ax340)).
% 215.84/215.56 thf(ax316, axiom, (p279|~(p281)), file('<stdin>', ax316)).
% 215.84/215.56 thf(ax548, axiom, (p58|~(p60)), file('<stdin>', ax548)).
% 215.84/215.56 thf(ax506, axiom, (p98|~(p100)), file('<stdin>', ax506)).
% 215.84/215.56 thf(ax408, axiom, (p189|~(p191)), file('<stdin>', ax408)).
% 215.84/215.56 thf(ax342, axiom, (p254|~(p256)), file('<stdin>', ax342)).
% 215.84/215.56 thf(ax318, axiom, (p277|~(p279)), file('<stdin>', ax318)).
% 215.84/215.56 thf(ax546, axiom, (p60|~(p62)), file('<stdin>', ax546)).
% 215.84/215.56 thf(ax508, axiom, (p96|~(p98)), file('<stdin>', ax508)).
% 215.84/215.56 thf(ax410, axiom, (p188|~(p189)), file('<stdin>', ax410)).
% 215.84/215.56 thf(ax344, axiom, (p253|~(p254)), file('<stdin>', ax344)).
% 215.84/215.56 thf(ax320, axiom, (p275|~(p277)), file('<stdin>', ax320)).
% 215.84/215.56 thf(ax544, axiom, (p62|~(p64)), file('<stdin>', ax544)).
% 215.84/215.56 thf(ax510, axiom, (p94|~(p96)), file('<stdin>', ax510)).
% 215.84/215.56 thf(ax322, axiom, (p273|~(p275)), file('<stdin>', ax322)).
% 215.84/215.56 thf(ax542, axiom, (p64|~(p66)), file('<stdin>', ax542)).
% 215.84/215.56 thf(ax324, axiom, (p271|~(p273)), file('<stdin>', ax324)).
% 215.84/215.56 thf(ax540, axiom, (p66|~(p68)), file('<stdin>', ax540)).
% 215.84/215.56 thf(ax512, axiom, (p92|~(p94)), file('<stdin>', ax512)).
% 215.84/215.56 thf(ax326, axiom, (p269|~(p271)), file('<stdin>', ax326)).
% 215.84/215.56 thf(ax538, axiom, (p68|~(p70)), file('<stdin>', ax538)).
% 215.84/215.56 thf(ax514, axiom, (p90|~(p92)), file('<stdin>', ax514)).
% 215.84/215.56 thf(ax328, axiom, (p268|~(p269)), file('<stdin>', ax328)).
% 215.84/215.56 thf(ax536, axiom, (p70|~(p71)), file('<stdin>', ax536)).
% 215.84/215.56 thf(ax534, axiom, (p71|~(p73)), file('<stdin>', ax534)).
% 215.84/215.56 thf(ax516, axiom, (p88|~(p90)), file('<stdin>', ax516)).
% 215.84/215.56 thf(ax532, axiom, (p73|~(p75)), file('<stdin>', ax532)).
% 215.84/215.56 thf(ax518, axiom, (p86|~(p88)), file('<stdin>', ax518)).
% 215.84/215.56 thf(ax530, axiom, (p75|~(p77)), file('<stdin>', ax530)).
% 215.84/215.56 thf(ax520, axiom, (p84|~(p86)), file('<stdin>', ax520)).
% 215.84/215.56 thf(ax528, axiom, (p77|~(p79)), file('<stdin>', ax528)).
% 215.84/215.56 thf(ax522, axiom, (p82|~(p84)), file('<stdin>', ax522)).
% 215.84/215.56 thf(ax526, axiom, (p79|~(p81)), file('<stdin>', ax526)).
% 215.84/215.56 thf(ax524, axiom, (p81|~(p82)), file('<stdin>', ax524)).
% 215.84/215.56 thf(pax434, axiom, (p434=>fin @ f__3 @ f__0), file('<stdin>', pax434)).
% 215.84/215.56 thf(ax161, axiom, (p433|p434), file('<stdin>', ax161)).
% 215.84/215.56 thf(nax522, axiom, (p522<=fin @ (fsetunion @ (fsetadjoin @ f__3 @ femptyset)) @ f__0), file('<stdin>', nax522)).
% 215.84/215.56 thf(pax292, axiom, (p292=>![X1:$i]:(fsetunion @ (fsetadjoin @ X1 @ femptyset))=(X1)), file('<stdin>', pax292)).
% 215.84/215.56 thf(ax305, axiom, (p291|p292), file('<stdin>', ax305)).
% 215.84/215.56 thf(ax164, axiom, (p430|p431), file('<stdin>', ax164)).
% 215.84/215.56 thf(ax171, axiom, (p423|p424), file('<stdin>', ax171)).
% 215.84/215.56 thf(ax175, axiom, (p419|p420), file('<stdin>', ax175)).
% 215.84/215.56 thf(nax453, axiom, (p453<=(f__2)=(fsetunion @ (fsetadjoin @ f__2 @ femptyset))), file('<stdin>', nax453)).
% 215.84/215.56 thf(ax139, axiom, (~(p460)|p459), file('<stdin>', ax139)).
% 215.84/215.56 thf(ax138, axiom, (~(p459)|p458), file('<stdin>', ax138)).
% 215.84/215.56 thf(ax140, axiom, p460, file('<stdin>', ax140)).
% 215.84/215.56 thf(ax123, axiom, (~(p459)|p474), file('<stdin>', ax123)).
% 215.84/215.56 thf(ax135, axiom, (~(p456)|~(p454)|~(p453)), file('<stdin>', ax135)).
% 215.84/215.56 thf(ax136, axiom, (~(p457)|p456), file('<stdin>', ax136)).
% 215.84/215.56 thf(ax137, axiom, (~(p458)|p444|p457), file('<stdin>', ax137)).
% 215.84/215.56 thf(ax62, axiom, (~(p523)|~(p510)|~(p522)), file('<stdin>', ax62)).
% 215.84/215.56 thf(ax63, axiom, (~(p473)|p523), file('<stdin>', ax63)).
% 215.84/215.56 thf(ax122, axiom, (~(p474)|p435|p473), file('<stdin>', ax122)).
% 215.84/215.56 thf(ax69, axiom, (~(p517)|p516), file('<stdin>', ax69)).
% 215.84/215.56 thf(ax68, axiom, (~(p420)|p517), file('<stdin>', ax68)).
% 215.84/215.56 thf(ax129, axiom, (~(p466)|p465), file('<stdin>', ax129)).
% 215.84/215.56 thf(ax128, axiom, (~(p424)|p466), file('<stdin>', ax128)).
% 215.84/215.56 thf(ax150, axiom, (~(p431)|p435|~(p444)|~(p437)), file('<stdin>', ax150)).
% 215.84/215.56 thf(ax70, axiom, (~(p516)|p515), file('<stdin>', ax70)).
% 215.84/215.56 thf(ax130, axiom, (~(p465)|p464), file('<stdin>', ax130)).
% 215.84/215.56 thf(ax158, axiom, p437, file('<stdin>', ax158)).
% 215.84/215.56 thf(ax160, axiom, (p433|~(p435)), file('<stdin>', ax160)).
% 215.84/215.56 thf(ax71, axiom, (~(p515)|~(p431)|p514), file('<stdin>', ax71)).
% 215.84/215.56 thf(ax131, axiom, (~(p464)|~(p431)|p463), file('<stdin>', ax131)).
% 215.84/215.56 thf(ax73, axiom, (~(p513)|~(p434)|p512), file('<stdin>', ax73)).
% 215.84/215.56 thf(ax72, axiom, (~(p514)|p513), file('<stdin>', ax72)).
% 215.84/215.56 thf(ax132, axiom, (~(p463)|p462), file('<stdin>', ax132)).
% 215.84/215.56 thf(ax74, axiom, (~(p512)|p455|p510), file('<stdin>', ax74)).
% 215.84/215.56 thf(ax133, axiom, (~(p462)|~(p434)|p461), file('<stdin>', ax133)).
% 215.84/215.56 thf(ax134, axiom, (~(p461)|~(p455)|p454), file('<stdin>', ax134)).
% 215.84/215.56 thf(c_0_263, plain, (p428|~p429), inference(fof_simplification,[status(thm)],[ax166])).
% 215.84/215.56 thf(c_0_264, plain, (p429|~p430), inference(fof_simplification,[status(thm)],[ax165])).
% 215.84/215.56 thf(c_0_265, plain, (p427|~p428), inference(fof_simplification,[status(thm)],[ax167])).
% 215.84/215.56 thf(c_0_266, plain, (p428|~p429), inference(split_conjunct,[status(thm)],[c_0_263])).
% 215.84/215.56 thf(c_0_267, plain, (p429|~p430), inference(split_conjunct,[status(thm)],[c_0_264])).
% 215.84/215.56 thf(c_0_268, plain, (p425|~p427), inference(fof_simplification,[status(thm)],[ax168])).
% 215.84/215.56 thf(c_0_269, plain, (p427|~p428), inference(split_conjunct,[status(thm)],[c_0_265])).
% 215.84/215.56 thf(c_0_270, plain, (p428|~p430), inference(spm,[status(thm)],[c_0_266, c_0_267])).
% 215.84/215.56 thf(c_0_271, plain, (p430|~p432), inference(fof_simplification,[status(thm)],[ax163])).
% 215.84/215.56 thf(c_0_272, plain, (p432|~p433), inference(fof_simplification,[status(thm)],[ax162])).
% 215.84/215.56 thf(c_0_273, plain, (p425|~p427), inference(split_conjunct,[status(thm)],[c_0_268])).
% 215.84/215.56 thf(c_0_274, plain, (p427|~p430), inference(spm,[status(thm)],[c_0_269, c_0_270])).
% 215.84/215.56 thf(c_0_275, plain, (p430|~p432), inference(split_conjunct,[status(thm)],[c_0_271])).
% 215.84/215.56 thf(c_0_276, plain, (p432|~p433), inference(split_conjunct,[status(thm)],[c_0_272])).
% 215.84/215.56 thf(c_0_277, plain, (p423|~p425), inference(fof_simplification,[status(thm)],[ax170])).
% 215.84/215.56 thf(c_0_278, plain, (p425|~p430), inference(spm,[status(thm)],[c_0_273, c_0_274])).
% 215.84/215.56 thf(c_0_279, plain, (p430|~p433), inference(spm,[status(thm)],[c_0_275, c_0_276])).
% 215.84/215.56 thf(c_0_280, plain, (p421|~p423), inference(fof_simplification,[status(thm)],[ax172])).
% 215.84/215.56 thf(c_0_281, plain, (p423|~p425), inference(split_conjunct,[status(thm)],[c_0_277])).
% 215.84/215.56 thf(c_0_282, plain, (p425|~p433), inference(spm,[status(thm)],[c_0_278, c_0_279])).
% 215.84/215.56 thf(c_0_283, plain, (p419|~p421), inference(fof_simplification,[status(thm)],[ax174])).
% 215.84/215.56 thf(c_0_284, plain, (p421|~p423), inference(split_conjunct,[status(thm)],[c_0_280])).
% 215.84/215.56 thf(c_0_285, plain, (p423|~p433), inference(spm,[status(thm)],[c_0_281, c_0_282])).
% 215.84/215.56 thf(c_0_286, plain, (p417|~p419), inference(fof_simplification,[status(thm)],[ax176])).
% 215.84/215.56 thf(c_0_287, plain, (p419|~p421), inference(split_conjunct,[status(thm)],[c_0_283])).
% 215.84/215.56 thf(c_0_288, plain, (p421|~p433), inference(spm,[status(thm)],[c_0_284, c_0_285])).
% 215.84/215.56 thf(c_0_289, plain, (p410|~p412), inference(fof_simplification,[status(thm)],[ax184])).
% 215.84/215.56 thf(c_0_290, plain, (p412|~p414), inference(fof_simplification,[status(thm)],[ax182])).
% 215.84/215.56 thf(c_0_291, plain, (p415|~p417), inference(fof_simplification,[status(thm)],[ax178])).
% 215.84/215.56 thf(c_0_292, plain, (p417|~p419), inference(split_conjunct,[status(thm)],[c_0_286])).
% 215.84/215.56 thf(c_0_293, plain, (p419|~p433), inference(spm,[status(thm)],[c_0_287, c_0_288])).
% 215.84/215.56 thf(c_0_294, plain, (p408|~p410), inference(fof_simplification,[status(thm)],[ax186])).
% 215.84/215.56 thf(c_0_295, plain, (p410|~p412), inference(split_conjunct,[status(thm)],[c_0_289])).
% 215.84/215.56 thf(c_0_296, plain, (p412|~p414), inference(split_conjunct,[status(thm)],[c_0_290])).
% 215.84/215.56 thf(c_0_297, plain, (p414|~p415), inference(fof_simplification,[status(thm)],[ax180])).
% 215.84/215.56 thf(c_0_298, plain, (p415|~p417), inference(split_conjunct,[status(thm)],[c_0_291])).
% 215.84/215.56 thf(c_0_299, plain, (p417|~p433), inference(spm,[status(thm)],[c_0_292, c_0_293])).
% 215.84/215.56 thf(c_0_300, plain, (p408|~p410), inference(split_conjunct,[status(thm)],[c_0_294])).
% 215.84/215.56 thf(c_0_301, plain, (p410|~p414), inference(spm,[status(thm)],[c_0_295, c_0_296])).
% 215.84/215.56 thf(c_0_302, plain, (p414|~p415), inference(split_conjunct,[status(thm)],[c_0_297])).
% 215.84/215.56 thf(c_0_303, plain, (p415|~p433), inference(spm,[status(thm)],[c_0_298, c_0_299])).
% 215.84/215.56 thf(c_0_304, plain, (p406|~p408), inference(fof_simplification,[status(thm)],[ax188])).
% 215.84/215.56 thf(c_0_305, plain, (p408|~p414), inference(spm,[status(thm)],[c_0_300, c_0_301])).
% 215.84/215.56 thf(c_0_306, plain, (p414|~p433), inference(spm,[status(thm)],[c_0_302, c_0_303])).
% 215.84/215.56 thf(c_0_307, plain, (p404|~p406), inference(fof_simplification,[status(thm)],[ax190])).
% 215.84/215.56 thf(c_0_308, plain, (p406|~p408), inference(split_conjunct,[status(thm)],[c_0_304])).
% 215.84/215.56 thf(c_0_309, plain, (p408|~p433), inference(spm,[status(thm)],[c_0_305, c_0_306])).
% 215.84/215.56 thf(c_0_310, plain, (p402|~p404), inference(fof_simplification,[status(thm)],[ax192])).
% 215.84/215.56 thf(c_0_311, plain, (p404|~p406), inference(split_conjunct,[status(thm)],[c_0_307])).
% 215.84/215.56 thf(c_0_312, plain, (p406|~p433), inference(spm,[status(thm)],[c_0_308, c_0_309])).
% 215.84/215.56 thf(c_0_313, plain, (p400|~p402), inference(fof_simplification,[status(thm)],[ax194])).
% 215.84/215.56 thf(c_0_314, plain, (p402|~p404), inference(split_conjunct,[status(thm)],[c_0_310])).
% 215.84/215.56 thf(c_0_315, plain, (p404|~p433), inference(spm,[status(thm)],[c_0_311, c_0_312])).
% 215.84/215.56 thf(c_0_316, plain, (p398|~p400), inference(fof_simplification,[status(thm)],[ax196])).
% 215.84/215.56 thf(c_0_317, plain, (p400|~p402), inference(split_conjunct,[status(thm)],[c_0_313])).
% 215.84/215.56 thf(c_0_318, plain, (p402|~p433), inference(spm,[status(thm)],[c_0_314, c_0_315])).
% 215.84/215.56 thf(c_0_319, plain, (p396|~p398), inference(fof_simplification,[status(thm)],[ax198])).
% 215.84/215.56 thf(c_0_320, plain, (p398|~p400), inference(split_conjunct,[status(thm)],[c_0_316])).
% 215.84/215.56 thf(c_0_321, plain, (p400|~p433), inference(spm,[status(thm)],[c_0_317, c_0_318])).
% 215.84/215.56 thf(c_0_322, plain, (p394|~p396), inference(fof_simplification,[status(thm)],[ax200])).
% 215.84/215.56 thf(c_0_323, plain, (p396|~p398), inference(split_conjunct,[status(thm)],[c_0_319])).
% 215.84/215.56 thf(c_0_324, plain, (p398|~p433), inference(spm,[status(thm)],[c_0_320, c_0_321])).
% 215.84/215.56 thf(c_0_325, plain, (p392|~p394), inference(fof_simplification,[status(thm)],[ax202])).
% 215.84/215.56 thf(c_0_326, plain, (p394|~p396), inference(split_conjunct,[status(thm)],[c_0_322])).
% 215.84/215.56 thf(c_0_327, plain, (p396|~p433), inference(spm,[status(thm)],[c_0_323, c_0_324])).
% 215.84/215.56 thf(c_0_328, plain, (p390|~p392), inference(fof_simplification,[status(thm)],[ax204])).
% 215.84/215.56 thf(c_0_329, plain, (p392|~p394), inference(split_conjunct,[status(thm)],[c_0_325])).
% 215.84/215.56 thf(c_0_330, plain, (p394|~p433), inference(spm,[status(thm)],[c_0_326, c_0_327])).
% 215.84/215.56 thf(c_0_331, plain, (p388|~p390), inference(fof_simplification,[status(thm)],[ax206])).
% 215.84/215.56 thf(c_0_332, plain, (p390|~p392), inference(split_conjunct,[status(thm)],[c_0_328])).
% 215.84/215.56 thf(c_0_333, plain, (p392|~p433), inference(spm,[status(thm)],[c_0_329, c_0_330])).
% 215.84/215.56 thf(c_0_334, plain, (p386|~p388), inference(fof_simplification,[status(thm)],[ax208])).
% 215.84/215.56 thf(c_0_335, plain, (p388|~p390), inference(split_conjunct,[status(thm)],[c_0_331])).
% 215.84/215.56 thf(c_0_336, plain, (p390|~p433), inference(spm,[status(thm)],[c_0_332, c_0_333])).
% 215.84/215.56 thf(c_0_337, plain, (p384|~p386), inference(fof_simplification,[status(thm)],[ax210])).
% 215.84/215.56 thf(c_0_338, plain, (p386|~p388), inference(split_conjunct,[status(thm)],[c_0_334])).
% 215.84/215.56 thf(c_0_339, plain, (p388|~p433), inference(spm,[status(thm)],[c_0_335, c_0_336])).
% 215.84/215.56 thf(c_0_340, plain, (p383|~p384), inference(fof_simplification,[status(thm)],[ax212])).
% 215.84/215.56 thf(c_0_341, plain, (p384|~p386), inference(split_conjunct,[status(thm)],[c_0_337])).
% 215.84/215.56 thf(c_0_342, plain, (p386|~p433), inference(spm,[status(thm)],[c_0_338, c_0_339])).
% 215.84/215.56 thf(c_0_343, plain, (p381|~p383), inference(fof_simplification,[status(thm)],[ax214])).
% 215.84/215.56 thf(c_0_344, plain, (p383|~p384), inference(split_conjunct,[status(thm)],[c_0_340])).
% 215.84/215.56 thf(c_0_345, plain, (p384|~p433), inference(spm,[status(thm)],[c_0_341, c_0_342])).
% 215.84/215.56 thf(c_0_346, plain, (p379|~p381), inference(fof_simplification,[status(thm)],[ax216])).
% 215.84/215.56 thf(c_0_347, plain, (p381|~p383), inference(split_conjunct,[status(thm)],[c_0_343])).
% 215.84/215.56 thf(c_0_348, plain, (p383|~p433), inference(spm,[status(thm)],[c_0_344, c_0_345])).
% 215.84/215.56 thf(c_0_349, plain, (p377|~p379), inference(fof_simplification,[status(thm)],[ax218])).
% 215.84/215.56 thf(c_0_350, plain, (p379|~p381), inference(split_conjunct,[status(thm)],[c_0_346])).
% 215.84/215.56 thf(c_0_351, plain, (p381|~p433), inference(spm,[status(thm)],[c_0_347, c_0_348])).
% 215.84/215.56 thf(c_0_352, plain, (p375|~p377), inference(fof_simplification,[status(thm)],[ax220])).
% 215.84/215.56 thf(c_0_353, plain, (p377|~p379), inference(split_conjunct,[status(thm)],[c_0_349])).
% 215.84/215.56 thf(c_0_354, plain, (p379|~p433), inference(spm,[status(thm)],[c_0_350, c_0_351])).
% 215.84/215.56 thf(c_0_355, plain, (p373|~p375), inference(fof_simplification,[status(thm)],[ax222])).
% 215.84/215.56 thf(c_0_356, plain, (p375|~p377), inference(split_conjunct,[status(thm)],[c_0_352])).
% 215.84/215.56 thf(c_0_357, plain, (p377|~p433), inference(spm,[status(thm)],[c_0_353, c_0_354])).
% 215.84/215.56 thf(c_0_358, plain, (p371|~p373), inference(fof_simplification,[status(thm)],[ax224])).
% 215.84/215.56 thf(c_0_359, plain, (p373|~p375), inference(split_conjunct,[status(thm)],[c_0_355])).
% 215.84/215.56 thf(c_0_360, plain, (p375|~p433), inference(spm,[status(thm)],[c_0_356, c_0_357])).
% 215.84/215.56 thf(c_0_361, plain, (p369|~p371), inference(fof_simplification,[status(thm)],[ax226])).
% 215.84/215.56 thf(c_0_362, plain, (p371|~p373), inference(split_conjunct,[status(thm)],[c_0_358])).
% 215.84/215.56 thf(c_0_363, plain, (p373|~p433), inference(spm,[status(thm)],[c_0_359, c_0_360])).
% 215.84/215.56 thf(c_0_364, plain, (p367|~p369), inference(fof_simplification,[status(thm)],[ax228])).
% 215.84/215.56 thf(c_0_365, plain, (p369|~p371), inference(split_conjunct,[status(thm)],[c_0_361])).
% 215.84/215.56 thf(c_0_366, plain, (p371|~p433), inference(spm,[status(thm)],[c_0_362, c_0_363])).
% 215.84/215.56 thf(c_0_367, plain, (p365|~p367), inference(fof_simplification,[status(thm)],[ax230])).
% 215.84/215.56 thf(c_0_368, plain, (p367|~p369), inference(split_conjunct,[status(thm)],[c_0_364])).
% 215.84/215.56 thf(c_0_369, plain, (p369|~p433), inference(spm,[status(thm)],[c_0_365, c_0_366])).
% 215.84/215.56 thf(c_0_370, plain, (p363|~p365), inference(fof_simplification,[status(thm)],[ax232])).
% 215.84/215.56 thf(c_0_371, plain, (p365|~p367), inference(split_conjunct,[status(thm)],[c_0_367])).
% 215.84/215.56 thf(c_0_372, plain, (p367|~p433), inference(spm,[status(thm)],[c_0_368, c_0_369])).
% 215.84/215.56 thf(c_0_373, plain, (p361|~p363), inference(fof_simplification,[status(thm)],[ax234])).
% 215.84/215.56 thf(c_0_374, plain, (p363|~p365), inference(split_conjunct,[status(thm)],[c_0_370])).
% 215.84/215.56 thf(c_0_375, plain, (p365|~p433), inference(spm,[status(thm)],[c_0_371, c_0_372])).
% 215.84/215.56 thf(c_0_376, plain, (p359|~p361), inference(fof_simplification,[status(thm)],[ax236])).
% 215.84/215.56 thf(c_0_377, plain, (p361|~p363), inference(split_conjunct,[status(thm)],[c_0_373])).
% 215.84/215.56 thf(c_0_378, plain, (p363|~p433), inference(spm,[status(thm)],[c_0_374, c_0_375])).
% 215.84/215.56 thf(c_0_379, plain, (p357|~p359), inference(fof_simplification,[status(thm)],[ax238])).
% 215.84/215.56 thf(c_0_380, plain, (p359|~p361), inference(split_conjunct,[status(thm)],[c_0_376])).
% 215.84/215.56 thf(c_0_381, plain, (p361|~p433), inference(spm,[status(thm)],[c_0_377, c_0_378])).
% 215.84/215.56 thf(c_0_382, plain, (p355|~p357), inference(fof_simplification,[status(thm)],[ax240])).
% 215.84/215.56 thf(c_0_383, plain, (p357|~p359), inference(split_conjunct,[status(thm)],[c_0_379])).
% 215.84/215.56 thf(c_0_384, plain, (p359|~p433), inference(spm,[status(thm)],[c_0_380, c_0_381])).
% 215.84/215.56 thf(c_0_385, plain, (p353|~p355), inference(fof_simplification,[status(thm)],[ax242])).
% 215.84/215.56 thf(c_0_386, plain, (p355|~p357), inference(split_conjunct,[status(thm)],[c_0_382])).
% 215.84/215.56 thf(c_0_387, plain, (p357|~p433), inference(spm,[status(thm)],[c_0_383, c_0_384])).
% 215.84/215.56 thf(c_0_388, plain, (p351|~p353), inference(fof_simplification,[status(thm)],[ax244])).
% 215.84/215.56 thf(c_0_389, plain, (p353|~p355), inference(split_conjunct,[status(thm)],[c_0_385])).
% 215.84/215.56 thf(c_0_390, plain, (p355|~p433), inference(spm,[status(thm)],[c_0_386, c_0_387])).
% 215.84/215.56 thf(c_0_391, plain, (p349|~p351), inference(fof_simplification,[status(thm)],[ax246])).
% 215.84/215.56 thf(c_0_392, plain, (p351|~p353), inference(split_conjunct,[status(thm)],[c_0_388])).
% 215.84/215.56 thf(c_0_393, plain, (p353|~p433), inference(spm,[status(thm)],[c_0_389, c_0_390])).
% 215.84/215.56 thf(c_0_394, plain, (p347|~p349), inference(fof_simplification,[status(thm)],[ax248])).
% 215.84/215.56 thf(c_0_395, plain, (p349|~p351), inference(split_conjunct,[status(thm)],[c_0_391])).
% 215.84/215.56 thf(c_0_396, plain, (p351|~p433), inference(spm,[status(thm)],[c_0_392, c_0_393])).
% 215.84/215.56 thf(c_0_397, plain, (p345|~p347), inference(fof_simplification,[status(thm)],[ax250])).
% 215.84/215.56 thf(c_0_398, plain, (p347|~p349), inference(split_conjunct,[status(thm)],[c_0_394])).
% 215.84/215.56 thf(c_0_399, plain, (p349|~p433), inference(spm,[status(thm)],[c_0_395, c_0_396])).
% 215.84/215.56 thf(c_0_400, plain, (p184|~p186), inference(fof_simplification,[status(thm)],[ax414])).
% 215.84/215.56 thf(c_0_401, plain, (p186|~p188), inference(fof_simplification,[status(thm)],[ax412])).
% 215.84/215.56 thf(c_0_402, plain, (p343|~p345), inference(fof_simplification,[status(thm)],[ax252])).
% 215.84/215.56 thf(c_0_403, plain, (p345|~p347), inference(split_conjunct,[status(thm)],[c_0_397])).
% 215.84/215.56 thf(c_0_404, plain, (p347|~p433), inference(spm,[status(thm)],[c_0_398, c_0_399])).
% 215.84/215.56 thf(c_0_405, plain, (p182|~p184), inference(fof_simplification,[status(thm)],[ax416])).
% 215.84/215.56 thf(c_0_406, plain, (p184|~p186), inference(split_conjunct,[status(thm)],[c_0_400])).
% 215.84/215.56 thf(c_0_407, plain, (p186|~p188), inference(split_conjunct,[status(thm)],[c_0_401])).
% 215.84/215.56 thf(c_0_408, plain, (p341|~p343), inference(fof_simplification,[status(thm)],[ax254])).
% 215.84/215.56 thf(c_0_409, plain, (p343|~p345), inference(split_conjunct,[status(thm)],[c_0_402])).
% 215.84/215.56 thf(c_0_410, plain, (p345|~p433), inference(spm,[status(thm)],[c_0_403, c_0_404])).
% 215.84/215.56 thf(c_0_411, plain, (p180|~p182), inference(fof_simplification,[status(thm)],[ax418])).
% 215.84/215.56 thf(c_0_412, plain, (p182|~p184), inference(split_conjunct,[status(thm)],[c_0_405])).
% 215.84/215.56 thf(c_0_413, plain, (p184|~p188), inference(spm,[status(thm)],[c_0_406, c_0_407])).
% 215.84/215.56 thf(c_0_414, plain, (p339|~p341), inference(fof_simplification,[status(thm)],[ax256])).
% 215.84/215.56 thf(c_0_415, plain, (p341|~p343), inference(split_conjunct,[status(thm)],[c_0_408])).
% 215.84/215.56 thf(c_0_416, plain, (p343|~p433), inference(spm,[status(thm)],[c_0_409, c_0_410])).
% 215.84/215.56 thf(c_0_417, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax608])).
% 215.84/215.56 thf(c_0_418, plain, ~p1, inference(fof_simplification,[status(thm)],[ax610])).
% 215.84/215.56 thf(c_0_419, plain, (p178|~p180), inference(fof_simplification,[status(thm)],[ax420])).
% 215.84/215.56 thf(c_0_420, plain, (p180|~p182), inference(split_conjunct,[status(thm)],[c_0_411])).
% 215.84/215.56 thf(c_0_421, plain, (p182|~p188), inference(spm,[status(thm)],[c_0_412, c_0_413])).
% 215.84/215.56 thf(c_0_422, plain, (p249|~p251), inference(fof_simplification,[status(thm)],[ax348])).
% 215.84/215.56 thf(c_0_423, plain, (p251|~p253), inference(fof_simplification,[status(thm)],[ax346])).
% 215.84/215.56 thf(c_0_424, plain, (p337|~p339), inference(fof_simplification,[status(thm)],[ax258])).
% 215.84/215.56 thf(c_0_425, plain, (p339|~p341), inference(split_conjunct,[status(thm)],[c_0_414])).
% 215.84/215.56 thf(c_0_426, plain, (p341|~p433), inference(spm,[status(thm)],[c_0_415, c_0_416])).
% 215.84/215.56 thf(c_0_427, plain, (p3|~p5), inference(fof_simplification,[status(thm)],[ax606])).
% 215.84/215.56 thf(c_0_428, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_417])).
% 215.84/215.56 thf(c_0_429, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_418])).
% 215.84/215.56 thf(c_0_430, plain, (p176|~p178), inference(fof_simplification,[status(thm)],[ax422])).
% 215.84/215.56 thf(c_0_431, plain, (p178|~p180), inference(split_conjunct,[status(thm)],[c_0_419])).
% 215.84/215.56 thf(c_0_432, plain, (p180|~p188), inference(spm,[status(thm)],[c_0_420, c_0_421])).
% 215.84/215.56 thf(c_0_433, plain, (p247|~p249), inference(fof_simplification,[status(thm)],[ax350])).
% 215.84/215.56 thf(c_0_434, plain, (p249|~p251), inference(split_conjunct,[status(thm)],[c_0_422])).
% 215.84/215.56 thf(c_0_435, plain, (p251|~p253), inference(split_conjunct,[status(thm)],[c_0_423])).
% 215.84/215.56 thf(c_0_436, plain, (p335|~p337), inference(fof_simplification,[status(thm)],[ax260])).
% 215.84/215.56 thf(c_0_437, plain, (p337|~p339), inference(split_conjunct,[status(thm)],[c_0_424])).
% 215.84/215.56 thf(c_0_438, plain, (p339|~p433), inference(spm,[status(thm)],[c_0_425, c_0_426])).
% 215.84/215.56 thf(c_0_439, plain, (p5|~p7), inference(fof_simplification,[status(thm)],[ax604])).
% 215.84/215.56 thf(c_0_440, plain, (p3|~p5), inference(split_conjunct,[status(thm)],[c_0_427])).
% 215.84/215.56 thf(c_0_441, plain, ~p3, inference(sr,[status(thm)],[c_0_428, c_0_429])).
% 215.84/215.56 thf(c_0_442, plain, (p174|~p176), inference(fof_simplification,[status(thm)],[ax424])).
% 215.84/215.56 thf(c_0_443, plain, (p176|~p178), inference(split_conjunct,[status(thm)],[c_0_430])).
% 215.84/215.56 thf(c_0_444, plain, (p178|~p188), inference(spm,[status(thm)],[c_0_431, c_0_432])).
% 215.84/215.56 thf(c_0_445, plain, (p245|~p247), inference(fof_simplification,[status(thm)],[ax352])).
% 215.84/215.56 thf(c_0_446, plain, (p247|~p249), inference(split_conjunct,[status(thm)],[c_0_433])).
% 215.84/215.56 thf(c_0_447, plain, (p249|~p253), inference(spm,[status(thm)],[c_0_434, c_0_435])).
% 215.84/215.56 thf(c_0_448, plain, (p333|~p335), inference(fof_simplification,[status(thm)],[ax262])).
% 215.84/215.56 thf(c_0_449, plain, (p335|~p337), inference(split_conjunct,[status(thm)],[c_0_436])).
% 215.84/215.56 thf(c_0_450, plain, (p337|~p433), inference(spm,[status(thm)],[c_0_437, c_0_438])).
% 215.84/215.56 thf(c_0_451, plain, (p7|~p9), inference(fof_simplification,[status(thm)],[ax602])).
% 215.84/215.56 thf(c_0_452, plain, (p5|~p7), inference(split_conjunct,[status(thm)],[c_0_439])).
% 215.84/215.56 thf(c_0_453, plain, ~p5, inference(sr,[status(thm)],[c_0_440, c_0_441])).
% 215.84/215.56 thf(c_0_454, plain, (p172|~p174), inference(fof_simplification,[status(thm)],[ax426])).
% 215.84/215.56 thf(c_0_455, plain, (p174|~p176), inference(split_conjunct,[status(thm)],[c_0_442])).
% 215.84/215.56 thf(c_0_456, plain, (p176|~p188), inference(spm,[status(thm)],[c_0_443, c_0_444])).
% 215.84/215.56 thf(c_0_457, plain, (p243|~p245), inference(fof_simplification,[status(thm)],[ax354])).
% 215.84/215.56 thf(c_0_458, plain, (p245|~p247), inference(split_conjunct,[status(thm)],[c_0_445])).
% 215.84/215.56 thf(c_0_459, plain, (p247|~p253), inference(spm,[status(thm)],[c_0_446, c_0_447])).
% 215.84/215.56 thf(c_0_460, plain, (p331|~p333), inference(fof_simplification,[status(thm)],[ax264])).
% 215.84/215.56 thf(c_0_461, plain, (p333|~p335), inference(split_conjunct,[status(thm)],[c_0_448])).
% 215.84/215.56 thf(c_0_462, plain, (p335|~p433), inference(spm,[status(thm)],[c_0_449, c_0_450])).
% 215.84/215.56 thf(c_0_463, plain, (p9|~p11), inference(fof_simplification,[status(thm)],[ax600])).
% 215.84/215.56 thf(c_0_464, plain, (p7|~p9), inference(split_conjunct,[status(thm)],[c_0_451])).
% 215.84/215.56 thf(c_0_465, plain, ~p7, inference(sr,[status(thm)],[c_0_452, c_0_453])).
% 215.84/215.56 thf(c_0_466, plain, (p170|~p172), inference(fof_simplification,[status(thm)],[ax428])).
% 215.84/215.56 thf(c_0_467, plain, (p172|~p174), inference(split_conjunct,[status(thm)],[c_0_454])).
% 215.84/215.56 thf(c_0_468, plain, (p174|~p188), inference(spm,[status(thm)],[c_0_455, c_0_456])).
% 215.84/215.56 thf(c_0_469, plain, (p241|~p243), inference(fof_simplification,[status(thm)],[ax356])).
% 215.84/215.56 thf(c_0_470, plain, (p243|~p245), inference(split_conjunct,[status(thm)],[c_0_457])).
% 215.84/215.56 thf(c_0_471, plain, (p245|~p253), inference(spm,[status(thm)],[c_0_458, c_0_459])).
% 215.84/215.56 thf(c_0_472, plain, (p329|~p331), inference(fof_simplification,[status(thm)],[ax266])).
% 215.84/215.56 thf(c_0_473, plain, (p331|~p333), inference(split_conjunct,[status(thm)],[c_0_460])).
% 215.84/215.56 thf(c_0_474, plain, (p333|~p433), inference(spm,[status(thm)],[c_0_461, c_0_462])).
% 215.84/215.56 thf(c_0_475, plain, (p11|~p13), inference(fof_simplification,[status(thm)],[ax598])).
% 215.84/215.56 thf(c_0_476, plain, (p9|~p11), inference(split_conjunct,[status(thm)],[c_0_463])).
% 215.84/215.56 thf(c_0_477, plain, ~p9, inference(sr,[status(thm)],[c_0_464, c_0_465])).
% 215.84/215.56 thf(c_0_478, plain, (p168|~p170), inference(fof_simplification,[status(thm)],[ax430])).
% 215.84/215.56 thf(c_0_479, plain, (p170|~p172), inference(split_conjunct,[status(thm)],[c_0_466])).
% 215.84/215.56 thf(c_0_480, plain, (p172|~p188), inference(spm,[status(thm)],[c_0_467, c_0_468])).
% 215.84/215.56 thf(c_0_481, plain, (p239|~p241), inference(fof_simplification,[status(thm)],[ax358])).
% 215.84/215.56 thf(c_0_482, plain, (p241|~p243), inference(split_conjunct,[status(thm)],[c_0_469])).
% 215.84/215.56 thf(c_0_483, plain, (p243|~p253), inference(spm,[status(thm)],[c_0_470, c_0_471])).
% 215.84/215.56 thf(c_0_484, plain, (p327|~p329), inference(fof_simplification,[status(thm)],[ax268])).
% 215.84/215.56 thf(c_0_485, plain, (p329|~p331), inference(split_conjunct,[status(thm)],[c_0_472])).
% 215.84/215.56 thf(c_0_486, plain, (p331|~p433), inference(spm,[status(thm)],[c_0_473, c_0_474])).
% 215.84/215.56 thf(c_0_487, plain, (p13|~p15), inference(fof_simplification,[status(thm)],[ax596])).
% 215.84/215.56 thf(c_0_488, plain, (p11|~p13), inference(split_conjunct,[status(thm)],[c_0_475])).
% 215.84/215.56 thf(c_0_489, plain, ~p11, inference(sr,[status(thm)],[c_0_476, c_0_477])).
% 215.84/215.56 thf(c_0_490, plain, (p166|~p168), inference(fof_simplification,[status(thm)],[ax432])).
% 215.84/215.56 thf(c_0_491, plain, (p168|~p170), inference(split_conjunct,[status(thm)],[c_0_478])).
% 215.84/215.56 thf(c_0_492, plain, (p170|~p188), inference(spm,[status(thm)],[c_0_479, c_0_480])).
% 215.84/215.56 thf(c_0_493, plain, (p237|~p239), inference(fof_simplification,[status(thm)],[ax360])).
% 215.84/215.56 thf(c_0_494, plain, (p239|~p241), inference(split_conjunct,[status(thm)],[c_0_481])).
% 215.84/215.56 thf(c_0_495, plain, (p241|~p253), inference(spm,[status(thm)],[c_0_482, c_0_483])).
% 215.84/215.56 thf(c_0_496, plain, (p325|~p327), inference(fof_simplification,[status(thm)],[ax270])).
% 215.84/215.56 thf(c_0_497, plain, (p327|~p329), inference(split_conjunct,[status(thm)],[c_0_484])).
% 215.84/215.56 thf(c_0_498, plain, (p329|~p433), inference(spm,[status(thm)],[c_0_485, c_0_486])).
% 215.84/215.56 thf(c_0_499, plain, (p15|~p17), inference(fof_simplification,[status(thm)],[ax594])).
% 215.84/215.56 thf(c_0_500, plain, (p13|~p15), inference(split_conjunct,[status(thm)],[c_0_487])).
% 215.84/215.56 thf(c_0_501, plain, ~p13, inference(sr,[status(thm)],[c_0_488, c_0_489])).
% 215.84/215.56 thf(c_0_502, plain, (p164|~p166), inference(fof_simplification,[status(thm)],[ax434])).
% 215.84/215.56 thf(c_0_503, plain, (p166|~p168), inference(split_conjunct,[status(thm)],[c_0_490])).
% 215.84/215.56 thf(c_0_504, plain, (p168|~p188), inference(spm,[status(thm)],[c_0_491, c_0_492])).
% 215.84/215.56 thf(c_0_505, plain, (p235|~p237), inference(fof_simplification,[status(thm)],[ax362])).
% 215.84/215.56 thf(c_0_506, plain, (p237|~p239), inference(split_conjunct,[status(thm)],[c_0_493])).
% 215.84/215.56 thf(c_0_507, plain, (p239|~p253), inference(spm,[status(thm)],[c_0_494, c_0_495])).
% 215.84/215.56 thf(c_0_508, plain, (p323|~p325), inference(fof_simplification,[status(thm)],[ax272])).
% 215.84/215.56 thf(c_0_509, plain, (p325|~p327), inference(split_conjunct,[status(thm)],[c_0_496])).
% 215.84/215.56 thf(c_0_510, plain, (p327|~p433), inference(spm,[status(thm)],[c_0_497, c_0_498])).
% 215.84/215.56 thf(c_0_511, plain, (p17|~p19), inference(fof_simplification,[status(thm)],[ax592])).
% 215.84/215.56 thf(c_0_512, plain, (p15|~p17), inference(split_conjunct,[status(thm)],[c_0_499])).
% 215.84/215.56 thf(c_0_513, plain, ~p15, inference(sr,[status(thm)],[c_0_500, c_0_501])).
% 215.84/215.56 thf(c_0_514, plain, (p162|~p164), inference(fof_simplification,[status(thm)],[ax436])).
% 215.84/215.56 thf(c_0_515, plain, (p164|~p166), inference(split_conjunct,[status(thm)],[c_0_502])).
% 215.84/215.56 thf(c_0_516, plain, (p166|~p188), inference(spm,[status(thm)],[c_0_503, c_0_504])).
% 215.84/215.56 thf(c_0_517, plain, (p233|~p235), inference(fof_simplification,[status(thm)],[ax364])).
% 215.84/215.56 thf(c_0_518, plain, (p235|~p237), inference(split_conjunct,[status(thm)],[c_0_505])).
% 215.84/215.56 thf(c_0_519, plain, (p237|~p253), inference(spm,[status(thm)],[c_0_506, c_0_507])).
% 215.84/215.56 thf(c_0_520, plain, (p321|~p323), inference(fof_simplification,[status(thm)],[ax274])).
% 215.84/215.56 thf(c_0_521, plain, (p323|~p325), inference(split_conjunct,[status(thm)],[c_0_508])).
% 215.84/215.56 thf(c_0_522, plain, (p325|~p433), inference(spm,[status(thm)],[c_0_509, c_0_510])).
% 215.84/215.56 thf(c_0_523, plain, (p19|~p21), inference(fof_simplification,[status(thm)],[ax590])).
% 215.84/215.56 thf(c_0_524, plain, (p17|~p19), inference(split_conjunct,[status(thm)],[c_0_511])).
% 215.84/215.56 thf(c_0_525, plain, ~p17, inference(sr,[status(thm)],[c_0_512, c_0_513])).
% 215.84/215.56 thf(c_0_526, plain, (p160|~p162), inference(fof_simplification,[status(thm)],[ax438])).
% 215.84/215.56 thf(c_0_527, plain, (p162|~p164), inference(split_conjunct,[status(thm)],[c_0_514])).
% 215.84/215.56 thf(c_0_528, plain, (p164|~p188), inference(spm,[status(thm)],[c_0_515, c_0_516])).
% 215.84/215.56 thf(c_0_529, plain, (p231|~p233), inference(fof_simplification,[status(thm)],[ax366])).
% 215.84/215.56 thf(c_0_530, plain, (p233|~p235), inference(split_conjunct,[status(thm)],[c_0_517])).
% 215.84/215.56 thf(c_0_531, plain, (p235|~p253), inference(spm,[status(thm)],[c_0_518, c_0_519])).
% 215.84/215.56 thf(c_0_532, plain, (p319|~p321), inference(fof_simplification,[status(thm)],[ax276])).
% 215.84/215.56 thf(c_0_533, plain, (p321|~p323), inference(split_conjunct,[status(thm)],[c_0_520])).
% 215.84/215.56 thf(c_0_534, plain, (p323|~p433), inference(spm,[status(thm)],[c_0_521, c_0_522])).
% 215.84/215.56 thf(c_0_535, plain, (p21|~p23), inference(fof_simplification,[status(thm)],[ax588])).
% 215.84/215.56 thf(c_0_536, plain, (p19|~p21), inference(split_conjunct,[status(thm)],[c_0_523])).
% 215.84/215.56 thf(c_0_537, plain, ~p19, inference(sr,[status(thm)],[c_0_524, c_0_525])).
% 215.84/215.56 thf(c_0_538, plain, (p158|~p160), inference(fof_simplification,[status(thm)],[ax440])).
% 215.84/215.56 thf(c_0_539, plain, (p160|~p162), inference(split_conjunct,[status(thm)],[c_0_526])).
% 215.84/215.56 thf(c_0_540, plain, (p162|~p188), inference(spm,[status(thm)],[c_0_527, c_0_528])).
% 215.84/215.56 thf(c_0_541, plain, (p229|~p231), inference(fof_simplification,[status(thm)],[ax368])).
% 215.84/215.56 thf(c_0_542, plain, (p231|~p233), inference(split_conjunct,[status(thm)],[c_0_529])).
% 215.84/215.56 thf(c_0_543, plain, (p233|~p253), inference(spm,[status(thm)],[c_0_530, c_0_531])).
% 215.84/215.56 thf(c_0_544, plain, (p317|~p319), inference(fof_simplification,[status(thm)],[ax278])).
% 215.84/215.56 thf(c_0_545, plain, (p319|~p321), inference(split_conjunct,[status(thm)],[c_0_532])).
% 215.84/215.56 thf(c_0_546, plain, (p321|~p433), inference(spm,[status(thm)],[c_0_533, c_0_534])).
% 215.84/215.56 thf(c_0_547, plain, (p23|~p25), inference(fof_simplification,[status(thm)],[ax586])).
% 215.84/215.56 thf(c_0_548, plain, (p21|~p23), inference(split_conjunct,[status(thm)],[c_0_535])).
% 215.84/215.56 thf(c_0_549, plain, ~p21, inference(sr,[status(thm)],[c_0_536, c_0_537])).
% 215.84/215.56 thf(c_0_550, plain, (p156|~p158), inference(fof_simplification,[status(thm)],[ax442])).
% 215.84/215.56 thf(c_0_551, plain, (p158|~p160), inference(split_conjunct,[status(thm)],[c_0_538])).
% 215.84/215.56 thf(c_0_552, plain, (p160|~p188), inference(spm,[status(thm)],[c_0_539, c_0_540])).
% 215.84/215.56 thf(c_0_553, plain, (p227|~p229), inference(fof_simplification,[status(thm)],[ax370])).
% 215.84/215.56 thf(c_0_554, plain, (p229|~p231), inference(split_conjunct,[status(thm)],[c_0_541])).
% 215.84/215.56 thf(c_0_555, plain, (p231|~p253), inference(spm,[status(thm)],[c_0_542, c_0_543])).
% 215.84/215.56 thf(c_0_556, plain, (p315|~p317), inference(fof_simplification,[status(thm)],[ax280])).
% 215.84/215.56 thf(c_0_557, plain, (p317|~p319), inference(split_conjunct,[status(thm)],[c_0_544])).
% 215.84/215.56 thf(c_0_558, plain, (p319|~p433), inference(spm,[status(thm)],[c_0_545, c_0_546])).
% 215.84/215.56 thf(c_0_559, plain, (p25|~p27), inference(fof_simplification,[status(thm)],[ax584])).
% 215.84/215.56 thf(c_0_560, plain, (p23|~p25), inference(split_conjunct,[status(thm)],[c_0_547])).
% 215.84/215.56 thf(c_0_561, plain, ~p23, inference(sr,[status(thm)],[c_0_548, c_0_549])).
% 215.84/215.56 thf(c_0_562, plain, (p154|~p156), inference(fof_simplification,[status(thm)],[ax444])).
% 215.84/215.56 thf(c_0_563, plain, (p156|~p158), inference(split_conjunct,[status(thm)],[c_0_550])).
% 215.84/215.56 thf(c_0_564, plain, (p158|~p188), inference(spm,[status(thm)],[c_0_551, c_0_552])).
% 215.84/215.56 thf(c_0_565, plain, (p225|~p227), inference(fof_simplification,[status(thm)],[ax372])).
% 215.84/215.56 thf(c_0_566, plain, (p227|~p229), inference(split_conjunct,[status(thm)],[c_0_553])).
% 215.84/215.56 thf(c_0_567, plain, (p229|~p253), inference(spm,[status(thm)],[c_0_554, c_0_555])).
% 215.84/215.56 thf(c_0_568, plain, (p313|~p315), inference(fof_simplification,[status(thm)],[ax282])).
% 215.84/215.56 thf(c_0_569, plain, (p315|~p317), inference(split_conjunct,[status(thm)],[c_0_556])).
% 215.84/215.56 thf(c_0_570, plain, (p317|~p433), inference(spm,[status(thm)],[c_0_557, c_0_558])).
% 215.84/215.56 thf(c_0_571, plain, (p27|~p29), inference(fof_simplification,[status(thm)],[ax582])).
% 215.84/215.56 thf(c_0_572, plain, (p25|~p27), inference(split_conjunct,[status(thm)],[c_0_559])).
% 215.84/215.56 thf(c_0_573, plain, ~p25, inference(sr,[status(thm)],[c_0_560, c_0_561])).
% 215.84/215.56 thf(c_0_574, plain, (p152|~p154), inference(fof_simplification,[status(thm)],[ax446])).
% 215.84/215.56 thf(c_0_575, plain, (p154|~p156), inference(split_conjunct,[status(thm)],[c_0_562])).
% 215.84/215.56 thf(c_0_576, plain, (p156|~p188), inference(spm,[status(thm)],[c_0_563, c_0_564])).
% 215.84/215.56 thf(c_0_577, plain, (p223|~p225), inference(fof_simplification,[status(thm)],[ax374])).
% 215.84/215.56 thf(c_0_578, plain, (p225|~p227), inference(split_conjunct,[status(thm)],[c_0_565])).
% 215.84/215.56 thf(c_0_579, plain, (p227|~p253), inference(spm,[status(thm)],[c_0_566, c_0_567])).
% 215.84/215.56 thf(c_0_580, plain, (p311|~p313), inference(fof_simplification,[status(thm)],[ax284])).
% 215.84/215.56 thf(c_0_581, plain, (p313|~p315), inference(split_conjunct,[status(thm)],[c_0_568])).
% 215.84/215.56 thf(c_0_582, plain, (p315|~p433), inference(spm,[status(thm)],[c_0_569, c_0_570])).
% 215.84/215.56 thf(c_0_583, plain, (p29|~p31), inference(fof_simplification,[status(thm)],[ax580])).
% 215.84/215.56 thf(c_0_584, plain, (p27|~p29), inference(split_conjunct,[status(thm)],[c_0_571])).
% 215.84/215.56 thf(c_0_585, plain, ~p27, inference(sr,[status(thm)],[c_0_572, c_0_573])).
% 215.84/215.56 thf(c_0_586, plain, (p150|~p152), inference(fof_simplification,[status(thm)],[ax448])).
% 215.84/215.56 thf(c_0_587, plain, (p152|~p154), inference(split_conjunct,[status(thm)],[c_0_574])).
% 215.84/215.56 thf(c_0_588, plain, (p154|~p188), inference(spm,[status(thm)],[c_0_575, c_0_576])).
% 215.84/215.56 thf(c_0_589, plain, (p221|~p223), inference(fof_simplification,[status(thm)],[ax376])).
% 215.84/215.56 thf(c_0_590, plain, (p223|~p225), inference(split_conjunct,[status(thm)],[c_0_577])).
% 215.84/215.56 thf(c_0_591, plain, (p225|~p253), inference(spm,[status(thm)],[c_0_578, c_0_579])).
% 215.84/215.56 thf(c_0_592, plain, (p309|~p311), inference(fof_simplification,[status(thm)],[ax286])).
% 215.84/215.56 thf(c_0_593, plain, (p311|~p313), inference(split_conjunct,[status(thm)],[c_0_580])).
% 215.84/215.56 thf(c_0_594, plain, (p313|~p433), inference(spm,[status(thm)],[c_0_581, c_0_582])).
% 215.84/215.56 thf(c_0_595, plain, (p31|~p33), inference(fof_simplification,[status(thm)],[ax578])).
% 215.84/215.56 thf(c_0_596, plain, (p29|~p31), inference(split_conjunct,[status(thm)],[c_0_583])).
% 215.84/215.56 thf(c_0_597, plain, ~p29, inference(sr,[status(thm)],[c_0_584, c_0_585])).
% 215.84/215.56 thf(c_0_598, plain, (p132|~p134), inference(fof_simplification,[status(thm)],[ax468])).
% 215.84/215.56 thf(c_0_599, plain, (p134|~p136), inference(fof_simplification,[status(thm)],[ax466])).
% 215.84/215.56 thf(c_0_600, plain, (p143|~p145), inference(fof_simplification,[status(thm)],[ax456])).
% 215.84/215.56 thf(c_0_601, plain, (p145|~p147), inference(fof_simplification,[status(thm)],[ax454])).
% 215.84/215.56 thf(c_0_602, plain, (p148|~p150), inference(fof_simplification,[status(thm)],[ax450])).
% 215.84/215.56 thf(c_0_603, plain, (p150|~p152), inference(split_conjunct,[status(thm)],[c_0_586])).
% 215.84/215.56 thf(c_0_604, plain, (p152|~p188), inference(spm,[status(thm)],[c_0_587, c_0_588])).
% 215.84/215.56 thf(c_0_605, plain, (p219|~p221), inference(fof_simplification,[status(thm)],[ax378])).
% 215.84/215.56 thf(c_0_606, plain, (p221|~p223), inference(split_conjunct,[status(thm)],[c_0_589])).
% 215.84/215.56 thf(c_0_607, plain, (p223|~p253), inference(spm,[status(thm)],[c_0_590, c_0_591])).
% 215.84/215.56 thf(c_0_608, plain, (p307|~p309), inference(fof_simplification,[status(thm)],[ax288])).
% 215.84/215.56 thf(c_0_609, plain, (p309|~p311), inference(split_conjunct,[status(thm)],[c_0_592])).
% 215.84/215.56 thf(c_0_610, plain, (p311|~p433), inference(spm,[status(thm)],[c_0_593, c_0_594])).
% 215.84/215.56 thf(c_0_611, plain, (p33|~p35), inference(fof_simplification,[status(thm)],[ax576])).
% 215.84/215.56 thf(c_0_612, plain, (p31|~p33), inference(split_conjunct,[status(thm)],[c_0_595])).
% 215.84/215.56 thf(c_0_613, plain, ~p31, inference(sr,[status(thm)],[c_0_596, c_0_597])).
% 215.84/215.56 thf(c_0_614, plain, (p130|~p132), inference(fof_simplification,[status(thm)],[ax470])).
% 215.84/215.56 thf(c_0_615, plain, (p132|~p134), inference(split_conjunct,[status(thm)],[c_0_598])).
% 215.84/215.56 thf(c_0_616, plain, (p134|~p136), inference(split_conjunct,[status(thm)],[c_0_599])).
% 215.84/215.56 thf(c_0_617, plain, (p141|~p143), inference(fof_simplification,[status(thm)],[ax458])).
% 215.84/215.56 thf(c_0_618, plain, (p143|~p145), inference(split_conjunct,[status(thm)],[c_0_600])).
% 215.84/215.56 thf(c_0_619, plain, (p145|~p147), inference(split_conjunct,[status(thm)],[c_0_601])).
% 215.84/215.56 thf(c_0_620, plain, (p147|~p148), inference(fof_simplification,[status(thm)],[ax452])).
% 215.84/215.56 thf(c_0_621, plain, (p148|~p150), inference(split_conjunct,[status(thm)],[c_0_602])).
% 215.84/215.56 thf(c_0_622, plain, (p150|~p188), inference(spm,[status(thm)],[c_0_603, c_0_604])).
% 215.84/215.56 thf(c_0_623, plain, (p217|~p219), inference(fof_simplification,[status(thm)],[ax380])).
% 215.84/215.56 thf(c_0_624, plain, (p219|~p221), inference(split_conjunct,[status(thm)],[c_0_605])).
% 215.84/215.56 thf(c_0_625, plain, (p221|~p253), inference(spm,[status(thm)],[c_0_606, c_0_607])).
% 215.84/215.56 thf(c_0_626, plain, (p305|~p307), inference(fof_simplification,[status(thm)],[ax290])).
% 215.84/215.56 thf(c_0_627, plain, (p307|~p309), inference(split_conjunct,[status(thm)],[c_0_608])).
% 215.84/215.56 thf(c_0_628, plain, (p309|~p433), inference(spm,[status(thm)],[c_0_609, c_0_610])).
% 215.84/215.56 thf(c_0_629, plain, (p35|~p37), inference(fof_simplification,[status(thm)],[ax574])).
% 215.84/215.56 thf(c_0_630, plain, (p33|~p35), inference(split_conjunct,[status(thm)],[c_0_611])).
% 215.84/215.56 thf(c_0_631, plain, ~p33, inference(sr,[status(thm)],[c_0_612, c_0_613])).
% 215.84/215.56 thf(c_0_632, plain, (p128|~p130), inference(fof_simplification,[status(thm)],[ax472])).
% 215.84/215.56 thf(c_0_633, plain, (p130|~p132), inference(split_conjunct,[status(thm)],[c_0_614])).
% 215.84/215.56 thf(c_0_634, plain, (p132|~p136), inference(spm,[status(thm)],[c_0_615, c_0_616])).
% 215.84/215.56 thf(c_0_635, plain, (p141|~p143), inference(split_conjunct,[status(thm)],[c_0_617])).
% 215.84/215.56 thf(c_0_636, plain, (p143|~p147), inference(spm,[status(thm)],[c_0_618, c_0_619])).
% 215.84/215.56 thf(c_0_637, plain, (p147|~p148), inference(split_conjunct,[status(thm)],[c_0_620])).
% 215.84/215.56 thf(c_0_638, plain, (p148|~p188), inference(spm,[status(thm)],[c_0_621, c_0_622])).
% 215.84/215.56 thf(c_0_639, plain, (p215|~p217), inference(fof_simplification,[status(thm)],[ax382])).
% 215.84/215.56 thf(c_0_640, plain, (p217|~p219), inference(split_conjunct,[status(thm)],[c_0_623])).
% 215.84/215.56 thf(c_0_641, plain, (p219|~p253), inference(spm,[status(thm)],[c_0_624, c_0_625])).
% 215.84/215.56 thf(c_0_642, plain, (p303|~p305), inference(fof_simplification,[status(thm)],[ax292])).
% 215.84/215.56 thf(c_0_643, plain, (p305|~p307), inference(split_conjunct,[status(thm)],[c_0_626])).
% 215.84/215.56 thf(c_0_644, plain, (p307|~p433), inference(spm,[status(thm)],[c_0_627, c_0_628])).
% 215.84/215.56 thf(c_0_645, plain, (p37|~p38), inference(fof_simplification,[status(thm)],[ax572])).
% 215.84/215.56 thf(c_0_646, plain, (p35|~p37), inference(split_conjunct,[status(thm)],[c_0_629])).
% 215.84/215.56 thf(c_0_647, plain, ~p35, inference(sr,[status(thm)],[c_0_630, c_0_631])).
% 215.84/215.56 thf(c_0_648, plain, (p126|~p128), inference(fof_simplification,[status(thm)],[ax474])).
% 215.84/215.56 thf(c_0_649, plain, (p128|~p130), inference(split_conjunct,[status(thm)],[c_0_632])).
% 215.84/215.56 thf(c_0_650, plain, (p130|~p136), inference(spm,[status(thm)],[c_0_633, c_0_634])).
% 215.84/215.56 thf(c_0_651, plain, (p139|~p141), inference(fof_simplification,[status(thm)],[ax460])).
% 215.84/215.56 thf(c_0_652, plain, (p141|~p147), inference(spm,[status(thm)],[c_0_635, c_0_636])).
% 215.84/215.56 thf(c_0_653, plain, (p147|~p188), inference(spm,[status(thm)],[c_0_637, c_0_638])).
% 215.84/215.56 thf(c_0_654, plain, (p213|~p215), inference(fof_simplification,[status(thm)],[ax384])).
% 215.84/215.56 thf(c_0_655, plain, (p215|~p217), inference(split_conjunct,[status(thm)],[c_0_639])).
% 215.84/215.56 thf(c_0_656, plain, (p217|~p253), inference(spm,[status(thm)],[c_0_640, c_0_641])).
% 215.84/215.56 thf(c_0_657, plain, (p301|~p303), inference(fof_simplification,[status(thm)],[ax294])).
% 215.84/215.56 thf(c_0_658, plain, (p303|~p305), inference(split_conjunct,[status(thm)],[c_0_642])).
% 215.84/215.56 thf(c_0_659, plain, (p305|~p433), inference(spm,[status(thm)],[c_0_643, c_0_644])).
% 215.84/215.56 thf(c_0_660, plain, (p38|~p39), inference(fof_simplification,[status(thm)],[ax570])).
% 215.84/215.56 thf(c_0_661, plain, (p37|~p38), inference(split_conjunct,[status(thm)],[c_0_645])).
% 215.84/215.56 thf(c_0_662, plain, ~p37, inference(sr,[status(thm)],[c_0_646, c_0_647])).
% 215.84/215.56 thf(c_0_663, plain, (p124|~p126), inference(fof_simplification,[status(thm)],[ax476])).
% 215.84/215.56 thf(c_0_664, plain, (p126|~p128), inference(split_conjunct,[status(thm)],[c_0_648])).
% 215.84/215.56 thf(c_0_665, plain, (p128|~p136), inference(spm,[status(thm)],[c_0_649, c_0_650])).
% 215.84/215.56 thf(c_0_666, plain, (p137|~p139), inference(fof_simplification,[status(thm)],[ax462])).
% 215.84/215.56 thf(c_0_667, plain, (p139|~p141), inference(split_conjunct,[status(thm)],[c_0_651])).
% 215.84/215.56 thf(c_0_668, plain, (p141|~p188), inference(spm,[status(thm)],[c_0_652, c_0_653])).
% 215.84/215.56 thf(c_0_669, plain, (p211|~p213), inference(fof_simplification,[status(thm)],[ax386])).
% 215.84/215.56 thf(c_0_670, plain, (p213|~p215), inference(split_conjunct,[status(thm)],[c_0_654])).
% 215.84/215.56 thf(c_0_671, plain, (p215|~p253), inference(spm,[status(thm)],[c_0_655, c_0_656])).
% 215.84/215.56 thf(c_0_672, plain, (p299|~p301), inference(fof_simplification,[status(thm)],[ax296])).
% 215.84/215.56 thf(c_0_673, plain, (p301|~p303), inference(split_conjunct,[status(thm)],[c_0_657])).
% 215.84/215.56 thf(c_0_674, plain, (p303|~p433), inference(spm,[status(thm)],[c_0_658, c_0_659])).
% 215.84/215.56 thf(c_0_675, plain, (p39|~p41), inference(fof_simplification,[status(thm)],[ax568])).
% 215.84/215.56 thf(c_0_676, plain, (p38|~p39), inference(split_conjunct,[status(thm)],[c_0_660])).
% 215.84/215.56 thf(c_0_677, plain, ~p38, inference(sr,[status(thm)],[c_0_661, c_0_662])).
% 215.84/215.56 thf(c_0_678, plain, (p122|~p124), inference(fof_simplification,[status(thm)],[ax478])).
% 215.84/215.56 thf(c_0_679, plain, (p124|~p126), inference(split_conjunct,[status(thm)],[c_0_663])).
% 215.84/215.56 thf(c_0_680, plain, (p126|~p136), inference(spm,[status(thm)],[c_0_664, c_0_665])).
% 215.84/215.56 thf(c_0_681, plain, (p136|~p137), inference(fof_simplification,[status(thm)],[ax464])).
% 215.84/215.56 thf(c_0_682, plain, (p137|~p139), inference(split_conjunct,[status(thm)],[c_0_666])).
% 215.84/215.56 thf(c_0_683, plain, (p139|~p188), inference(spm,[status(thm)],[c_0_667, c_0_668])).
% 215.84/215.56 thf(c_0_684, plain, (p209|~p211), inference(fof_simplification,[status(thm)],[ax388])).
% 215.84/215.56 thf(c_0_685, plain, (p211|~p213), inference(split_conjunct,[status(thm)],[c_0_669])).
% 215.84/215.56 thf(c_0_686, plain, (p213|~p253), inference(spm,[status(thm)],[c_0_670, c_0_671])).
% 215.84/215.56 thf(c_0_687, plain, (p297|~p299), inference(fof_simplification,[status(thm)],[ax298])).
% 215.84/215.56 thf(c_0_688, plain, (p299|~p301), inference(split_conjunct,[status(thm)],[c_0_672])).
% 215.84/215.56 thf(c_0_689, plain, (p301|~p433), inference(spm,[status(thm)],[c_0_673, c_0_674])).
% 215.84/215.56 thf(c_0_690, plain, (p41|~p43), inference(fof_simplification,[status(thm)],[ax566])).
% 215.84/215.56 thf(c_0_691, plain, (p39|~p41), inference(split_conjunct,[status(thm)],[c_0_675])).
% 215.84/215.56 thf(c_0_692, plain, ~p39, inference(sr,[status(thm)],[c_0_676, c_0_677])).
% 215.84/215.56 thf(c_0_693, plain, (p122|~p124), inference(split_conjunct,[status(thm)],[c_0_678])).
% 215.84/215.56 thf(c_0_694, plain, (p124|~p136), inference(spm,[status(thm)],[c_0_679, c_0_680])).
% 215.84/215.56 thf(c_0_695, plain, (p136|~p137), inference(split_conjunct,[status(thm)],[c_0_681])).
% 215.84/215.56 thf(c_0_696, plain, (p137|~p188), inference(spm,[status(thm)],[c_0_682, c_0_683])).
% 215.84/215.56 thf(c_0_697, plain, (p207|~p209), inference(fof_simplification,[status(thm)],[ax390])).
% 215.84/215.56 thf(c_0_698, plain, (p209|~p211), inference(split_conjunct,[status(thm)],[c_0_684])).
% 215.84/215.56 thf(c_0_699, plain, (p211|~p253), inference(spm,[status(thm)],[c_0_685, c_0_686])).
% 215.84/215.56 thf(c_0_700, plain, (p295|~p297), inference(fof_simplification,[status(thm)],[ax300])).
% 215.84/215.56 thf(c_0_701, plain, (p297|~p299), inference(split_conjunct,[status(thm)],[c_0_687])).
% 215.84/215.56 thf(c_0_702, plain, (p299|~p433), inference(spm,[status(thm)],[c_0_688, c_0_689])).
% 215.84/215.56 thf(c_0_703, plain, (p43|~p45), inference(fof_simplification,[status(thm)],[ax564])).
% 215.84/215.56 thf(c_0_704, plain, (p41|~p43), inference(split_conjunct,[status(thm)],[c_0_690])).
% 215.84/215.56 thf(c_0_705, plain, ~p41, inference(sr,[status(thm)],[c_0_691, c_0_692])).
% 215.84/215.56 thf(c_0_706, plain, (p120|~p122), inference(fof_simplification,[status(thm)],[ax480])).
% 215.84/215.56 thf(c_0_707, plain, (p122|~p136), inference(spm,[status(thm)],[c_0_693, c_0_694])).
% 215.84/215.56 thf(c_0_708, plain, (p136|~p188), inference(spm,[status(thm)],[c_0_695, c_0_696])).
% 215.84/215.56 thf(c_0_709, plain, (p205|~p207), inference(fof_simplification,[status(thm)],[ax392])).
% 215.84/215.56 thf(c_0_710, plain, (p207|~p209), inference(split_conjunct,[status(thm)],[c_0_697])).
% 215.84/215.56 thf(c_0_711, plain, (p209|~p253), inference(spm,[status(thm)],[c_0_698, c_0_699])).
% 215.84/215.56 thf(c_0_712, plain, (p293|~p295), inference(fof_simplification,[status(thm)],[ax302])).
% 215.84/215.56 thf(c_0_713, plain, (p295|~p297), inference(split_conjunct,[status(thm)],[c_0_700])).
% 215.84/215.56 thf(c_0_714, plain, (p297|~p433), inference(spm,[status(thm)],[c_0_701, c_0_702])).
% 215.84/215.56 thf(c_0_715, plain, (p45|~p46), inference(fof_simplification,[status(thm)],[ax562])).
% 215.84/215.56 thf(c_0_716, plain, (p43|~p45), inference(split_conjunct,[status(thm)],[c_0_703])).
% 215.84/215.56 thf(c_0_717, plain, ~p43, inference(sr,[status(thm)],[c_0_704, c_0_705])).
% 215.84/215.56 thf(c_0_718, plain, (p118|~p120), inference(fof_simplification,[status(thm)],[ax482])).
% 215.84/215.56 thf(c_0_719, plain, (p120|~p122), inference(split_conjunct,[status(thm)],[c_0_706])).
% 215.84/215.56 thf(c_0_720, plain, (p122|~p188), inference(spm,[status(thm)],[c_0_707, c_0_708])).
% 215.84/215.56 thf(c_0_721, plain, (p203|~p205), inference(fof_simplification,[status(thm)],[ax394])).
% 215.84/215.56 thf(c_0_722, plain, (p205|~p207), inference(split_conjunct,[status(thm)],[c_0_709])).
% 215.84/215.56 thf(c_0_723, plain, (p207|~p253), inference(spm,[status(thm)],[c_0_710, c_0_711])).
% 215.84/215.56 thf(c_0_724, plain, (p291|~p293), inference(fof_simplification,[status(thm)],[ax304])).
% 215.84/215.56 thf(c_0_725, plain, (p293|~p295), inference(split_conjunct,[status(thm)],[c_0_712])).
% 215.84/215.56 thf(c_0_726, plain, (p295|~p433), inference(spm,[status(thm)],[c_0_713, c_0_714])).
% 215.84/215.56 thf(c_0_727, plain, (p46|~p48), inference(fof_simplification,[status(thm)],[ax560])).
% 215.84/215.56 thf(c_0_728, plain, (p45|~p46), inference(split_conjunct,[status(thm)],[c_0_715])).
% 215.84/215.56 thf(c_0_729, plain, ~p45, inference(sr,[status(thm)],[c_0_716, c_0_717])).
% 215.84/215.56 thf(c_0_730, plain, (p116|~p118), inference(fof_simplification,[status(thm)],[ax484])).
% 215.84/215.56 thf(c_0_731, plain, (p118|~p120), inference(split_conjunct,[status(thm)],[c_0_718])).
% 215.84/215.56 thf(c_0_732, plain, (p120|~p188), inference(spm,[status(thm)],[c_0_719, c_0_720])).
% 215.84/215.56 thf(c_0_733, plain, (p201|~p203), inference(fof_simplification,[status(thm)],[ax396])).
% 215.84/215.56 thf(c_0_734, plain, (p203|~p205), inference(split_conjunct,[status(thm)],[c_0_721])).
% 215.84/215.56 thf(c_0_735, plain, (p205|~p253), inference(spm,[status(thm)],[c_0_722, c_0_723])).
% 215.84/215.56 thf(c_0_736, plain, (p289|~p291), inference(fof_simplification,[status(thm)],[ax306])).
% 215.84/215.56 thf(c_0_737, plain, (p291|~p293), inference(split_conjunct,[status(thm)],[c_0_724])).
% 215.84/215.56 thf(c_0_738, plain, (p293|~p433), inference(spm,[status(thm)],[c_0_725, c_0_726])).
% 215.84/215.56 thf(c_0_739, plain, (p48|~p50), inference(fof_simplification,[status(thm)],[ax558])).
% 215.84/215.56 thf(c_0_740, plain, (p46|~p48), inference(split_conjunct,[status(thm)],[c_0_727])).
% 215.84/215.56 thf(c_0_741, plain, ~p46, inference(sr,[status(thm)],[c_0_728, c_0_729])).
% 215.84/215.56 thf(c_0_742, plain, (p106|~p108), inference(fof_simplification,[status(thm)],[ax496])).
% 215.84/215.56 thf(c_0_743, plain, (p108|~p110), inference(fof_simplification,[status(thm)],[ax494])).
% 215.84/215.56 thf(c_0_744, plain, (p114|~p116), inference(fof_simplification,[status(thm)],[ax486])).
% 215.84/215.56 thf(c_0_745, plain, (p116|~p118), inference(split_conjunct,[status(thm)],[c_0_730])).
% 215.84/215.56 thf(c_0_746, plain, (p118|~p188), inference(spm,[status(thm)],[c_0_731, c_0_732])).
% 215.84/215.56 thf(c_0_747, plain, (p199|~p201), inference(fof_simplification,[status(thm)],[ax398])).
% 215.84/215.56 thf(c_0_748, plain, (p201|~p203), inference(split_conjunct,[status(thm)],[c_0_733])).
% 215.84/215.56 thf(c_0_749, plain, (p203|~p253), inference(spm,[status(thm)],[c_0_734, c_0_735])).
% 215.84/215.56 thf(c_0_750, plain, (p264|~p266), inference(fof_simplification,[status(thm)],[ax332])).
% 215.84/215.56 thf(c_0_751, plain, (p266|~p268), inference(fof_simplification,[status(thm)],[ax330])).
% 215.84/215.56 thf(c_0_752, plain, (p287|~p289), inference(fof_simplification,[status(thm)],[ax308])).
% 215.84/215.56 thf(c_0_753, plain, (p289|~p291), inference(split_conjunct,[status(thm)],[c_0_736])).
% 215.84/215.56 thf(c_0_754, plain, (p291|~p433), inference(spm,[status(thm)],[c_0_737, c_0_738])).
% 215.84/215.56 thf(c_0_755, plain, (p50|~p52), inference(fof_simplification,[status(thm)],[ax556])).
% 215.84/215.56 thf(c_0_756, plain, (p48|~p50), inference(split_conjunct,[status(thm)],[c_0_739])).
% 215.84/215.56 thf(c_0_757, plain, ~p48, inference(sr,[status(thm)],[c_0_740, c_0_741])).
% 215.84/215.56 thf(c_0_758, plain, (p105|~p106), inference(fof_simplification,[status(thm)],[ax498])).
% 215.84/215.56 thf(c_0_759, plain, (p106|~p108), inference(split_conjunct,[status(thm)],[c_0_742])).
% 215.84/215.56 thf(c_0_760, plain, (p108|~p110), inference(split_conjunct,[status(thm)],[c_0_743])).
% 215.84/215.56 thf(c_0_761, plain, (p112|~p114), inference(fof_simplification,[status(thm)],[ax488])).
% 215.84/215.56 thf(c_0_762, plain, (p114|~p116), inference(split_conjunct,[status(thm)],[c_0_744])).
% 215.84/215.56 thf(c_0_763, plain, (p116|~p188), inference(spm,[status(thm)],[c_0_745, c_0_746])).
% 215.84/215.56 thf(c_0_764, plain, (p197|~p199), inference(fof_simplification,[status(thm)],[ax400])).
% 215.84/215.56 thf(c_0_765, plain, (p199|~p201), inference(split_conjunct,[status(thm)],[c_0_747])).
% 215.84/215.56 thf(c_0_766, plain, (p201|~p253), inference(spm,[status(thm)],[c_0_748, c_0_749])).
% 215.84/215.56 thf(c_0_767, plain, (p262|~p264), inference(fof_simplification,[status(thm)],[ax334])).
% 215.84/215.56 thf(c_0_768, plain, (p264|~p266), inference(split_conjunct,[status(thm)],[c_0_750])).
% 215.84/215.56 thf(c_0_769, plain, (p266|~p268), inference(split_conjunct,[status(thm)],[c_0_751])).
% 215.84/215.56 thf(c_0_770, plain, (p285|~p287), inference(fof_simplification,[status(thm)],[ax310])).
% 215.84/215.56 thf(c_0_771, plain, (p287|~p289), inference(split_conjunct,[status(thm)],[c_0_752])).
% 215.84/215.56 thf(c_0_772, plain, (p289|~p433), inference(spm,[status(thm)],[c_0_753, c_0_754])).
% 215.84/215.56 thf(c_0_773, plain, (p52|~p54), inference(fof_simplification,[status(thm)],[ax554])).
% 215.84/215.56 thf(c_0_774, plain, (p50|~p52), inference(split_conjunct,[status(thm)],[c_0_755])).
% 215.84/215.56 thf(c_0_775, plain, ~p50, inference(sr,[status(thm)],[c_0_756, c_0_757])).
% 215.84/215.56 thf(c_0_776, plain, (p102|~p104), inference(fof_simplification,[status(thm)],[ax502])).
% 215.84/215.56 thf(c_0_777, plain, (p104|~p105), inference(fof_simplification,[status(thm)],[ax500])).
% 215.84/215.56 thf(c_0_778, plain, (p105|~p106), inference(split_conjunct,[status(thm)],[c_0_758])).
% 215.84/215.56 thf(c_0_779, plain, (p106|~p110), inference(spm,[status(thm)],[c_0_759, c_0_760])).
% 215.84/215.56 thf(c_0_780, plain, (p110|~p111), inference(fof_simplification,[status(thm)],[ax492])).
% 215.84/215.56 thf(c_0_781, plain, (p111|~p112), inference(fof_simplification,[status(thm)],[ax490])).
% 215.84/215.56 thf(c_0_782, plain, (p112|~p114), inference(split_conjunct,[status(thm)],[c_0_761])).
% 215.84/215.56 thf(c_0_783, plain, (p114|~p188), inference(spm,[status(thm)],[c_0_762, c_0_763])).
% 215.84/215.56 thf(c_0_784, plain, (p195|~p197), inference(fof_simplification,[status(thm)],[ax402])).
% 215.84/215.56 thf(c_0_785, plain, (p197|~p199), inference(split_conjunct,[status(thm)],[c_0_764])).
% 215.84/215.56 thf(c_0_786, plain, (p199|~p253), inference(spm,[status(thm)],[c_0_765, c_0_766])).
% 215.84/215.56 thf(c_0_787, plain, (p260|~p262), inference(fof_simplification,[status(thm)],[ax336])).
% 215.84/215.56 thf(c_0_788, plain, (p262|~p264), inference(split_conjunct,[status(thm)],[c_0_767])).
% 215.84/215.56 thf(c_0_789, plain, (p264|~p268), inference(spm,[status(thm)],[c_0_768, c_0_769])).
% 215.84/215.56 thf(c_0_790, plain, (p283|~p285), inference(fof_simplification,[status(thm)],[ax312])).
% 215.84/215.56 thf(c_0_791, plain, (p285|~p287), inference(split_conjunct,[status(thm)],[c_0_770])).
% 215.84/215.56 thf(c_0_792, plain, (p287|~p433), inference(spm,[status(thm)],[c_0_771, c_0_772])).
% 215.84/215.56 thf(c_0_793, plain, (p54|~p56), inference(fof_simplification,[status(thm)],[ax552])).
% 215.84/215.56 thf(c_0_794, plain, (p52|~p54), inference(split_conjunct,[status(thm)],[c_0_773])).
% 215.84/215.56 thf(c_0_795, plain, ~p52, inference(sr,[status(thm)],[c_0_774, c_0_775])).
% 215.84/215.56 thf(c_0_796, plain, (p100|~p102), inference(fof_simplification,[status(thm)],[ax504])).
% 215.84/215.56 thf(c_0_797, plain, (p102|~p104), inference(split_conjunct,[status(thm)],[c_0_776])).
% 215.84/215.56 thf(c_0_798, plain, (p104|~p105), inference(split_conjunct,[status(thm)],[c_0_777])).
% 215.84/215.56 thf(c_0_799, plain, (p105|~p110), inference(spm,[status(thm)],[c_0_778, c_0_779])).
% 215.84/215.56 thf(c_0_800, plain, (p110|~p111), inference(split_conjunct,[status(thm)],[c_0_780])).
% 215.84/215.56 thf(c_0_801, plain, (p111|~p112), inference(split_conjunct,[status(thm)],[c_0_781])).
% 215.84/215.56 thf(c_0_802, plain, (p112|~p188), inference(spm,[status(thm)],[c_0_782, c_0_783])).
% 215.84/215.56 thf(c_0_803, plain, (p193|~p195), inference(fof_simplification,[status(thm)],[ax404])).
% 215.84/215.56 thf(c_0_804, plain, (p195|~p197), inference(split_conjunct,[status(thm)],[c_0_784])).
% 215.84/215.56 thf(c_0_805, plain, (p197|~p253), inference(spm,[status(thm)],[c_0_785, c_0_786])).
% 215.84/215.56 thf(c_0_806, plain, (p258|~p260), inference(fof_simplification,[status(thm)],[ax338])).
% 215.84/215.56 thf(c_0_807, plain, (p260|~p262), inference(split_conjunct,[status(thm)],[c_0_787])).
% 215.84/215.56 thf(c_0_808, plain, (p262|~p268), inference(spm,[status(thm)],[c_0_788, c_0_789])).
% 215.84/215.56 thf(c_0_809, plain, (p281|~p283), inference(fof_simplification,[status(thm)],[ax314])).
% 215.84/215.56 thf(c_0_810, plain, (p283|~p285), inference(split_conjunct,[status(thm)],[c_0_790])).
% 215.84/215.56 thf(c_0_811, plain, (p285|~p433), inference(spm,[status(thm)],[c_0_791, c_0_792])).
% 215.84/215.56 thf(c_0_812, plain, (p56|~p58), inference(fof_simplification,[status(thm)],[ax550])).
% 215.84/215.56 thf(c_0_813, plain, (p54|~p56), inference(split_conjunct,[status(thm)],[c_0_793])).
% 215.84/215.56 thf(c_0_814, plain, ~p54, inference(sr,[status(thm)],[c_0_794, c_0_795])).
% 215.84/215.56 thf(c_0_815, plain, (p100|~p102), inference(split_conjunct,[status(thm)],[c_0_796])).
% 215.84/215.56 thf(c_0_816, plain, (p102|~p105), inference(spm,[status(thm)],[c_0_797, c_0_798])).
% 215.84/215.56 thf(c_0_817, plain, (p105|~p111), inference(spm,[status(thm)],[c_0_799, c_0_800])).
% 215.84/215.56 thf(c_0_818, plain, (p111|~p188), inference(spm,[status(thm)],[c_0_801, c_0_802])).
% 215.84/215.56 thf(c_0_819, plain, (p191|~p193), inference(fof_simplification,[status(thm)],[ax406])).
% 215.84/215.56 thf(c_0_820, plain, (p193|~p195), inference(split_conjunct,[status(thm)],[c_0_803])).
% 215.84/215.56 thf(c_0_821, plain, (p195|~p253), inference(spm,[status(thm)],[c_0_804, c_0_805])).
% 215.84/215.56 thf(c_0_822, plain, (p256|~p258), inference(fof_simplification,[status(thm)],[ax340])).
% 215.84/215.56 thf(c_0_823, plain, (p258|~p260), inference(split_conjunct,[status(thm)],[c_0_806])).
% 215.84/215.56 thf(c_0_824, plain, (p260|~p268), inference(spm,[status(thm)],[c_0_807, c_0_808])).
% 215.84/215.56 thf(c_0_825, plain, (p279|~p281), inference(fof_simplification,[status(thm)],[ax316])).
% 215.84/215.56 thf(c_0_826, plain, (p281|~p283), inference(split_conjunct,[status(thm)],[c_0_809])).
% 215.84/215.56 thf(c_0_827, plain, (p283|~p433), inference(spm,[status(thm)],[c_0_810, c_0_811])).
% 215.84/215.56 thf(c_0_828, plain, (p58|~p60), inference(fof_simplification,[status(thm)],[ax548])).
% 215.84/215.56 thf(c_0_829, plain, (p56|~p58), inference(split_conjunct,[status(thm)],[c_0_812])).
% 215.84/215.56 thf(c_0_830, plain, ~p56, inference(sr,[status(thm)],[c_0_813, c_0_814])).
% 215.84/215.56 thf(c_0_831, plain, (p98|~p100), inference(fof_simplification,[status(thm)],[ax506])).
% 215.84/215.56 thf(c_0_832, plain, (p100|~p105), inference(spm,[status(thm)],[c_0_815, c_0_816])).
% 215.84/215.56 thf(c_0_833, plain, (p105|~p188), inference(spm,[status(thm)],[c_0_817, c_0_818])).
% 215.84/215.56 thf(c_0_834, plain, (p189|~p191), inference(fof_simplification,[status(thm)],[ax408])).
% 215.84/215.56 thf(c_0_835, plain, (p191|~p193), inference(split_conjunct,[status(thm)],[c_0_819])).
% 215.84/215.56 thf(c_0_836, plain, (p193|~p253), inference(spm,[status(thm)],[c_0_820, c_0_821])).
% 215.84/215.56 thf(c_0_837, plain, (p254|~p256), inference(fof_simplification,[status(thm)],[ax342])).
% 215.84/215.56 thf(c_0_838, plain, (p256|~p258), inference(split_conjunct,[status(thm)],[c_0_822])).
% 215.84/215.56 thf(c_0_839, plain, (p258|~p268), inference(spm,[status(thm)],[c_0_823, c_0_824])).
% 215.84/215.56 thf(c_0_840, plain, (p277|~p279), inference(fof_simplification,[status(thm)],[ax318])).
% 215.84/215.56 thf(c_0_841, plain, (p279|~p281), inference(split_conjunct,[status(thm)],[c_0_825])).
% 215.84/215.56 thf(c_0_842, plain, (p281|~p433), inference(spm,[status(thm)],[c_0_826, c_0_827])).
% 215.84/215.56 thf(c_0_843, plain, (p60|~p62), inference(fof_simplification,[status(thm)],[ax546])).
% 215.84/215.56 thf(c_0_844, plain, (p58|~p60), inference(split_conjunct,[status(thm)],[c_0_828])).
% 215.84/215.56 thf(c_0_845, plain, ~p58, inference(sr,[status(thm)],[c_0_829, c_0_830])).
% 215.84/215.56 thf(c_0_846, plain, (p96|~p98), inference(fof_simplification,[status(thm)],[ax508])).
% 215.84/215.56 thf(c_0_847, plain, (p98|~p100), inference(split_conjunct,[status(thm)],[c_0_831])).
% 215.84/215.56 thf(c_0_848, plain, (p100|~p188), inference(spm,[status(thm)],[c_0_832, c_0_833])).
% 215.84/215.56 thf(c_0_849, plain, (p188|~p189), inference(fof_simplification,[status(thm)],[ax410])).
% 215.84/215.56 thf(c_0_850, plain, (p189|~p191), inference(split_conjunct,[status(thm)],[c_0_834])).
% 215.84/215.56 thf(c_0_851, plain, (p191|~p253), inference(spm,[status(thm)],[c_0_835, c_0_836])).
% 215.84/215.56 thf(c_0_852, plain, (p253|~p254), inference(fof_simplification,[status(thm)],[ax344])).
% 215.84/215.56 thf(c_0_853, plain, (p254|~p256), inference(split_conjunct,[status(thm)],[c_0_837])).
% 215.84/215.56 thf(c_0_854, plain, (p256|~p268), inference(spm,[status(thm)],[c_0_838, c_0_839])).
% 215.84/215.56 thf(c_0_855, plain, (p275|~p277), inference(fof_simplification,[status(thm)],[ax320])).
% 215.84/215.56 thf(c_0_856, plain, (p277|~p279), inference(split_conjunct,[status(thm)],[c_0_840])).
% 215.84/215.56 thf(c_0_857, plain, (p279|~p433), inference(spm,[status(thm)],[c_0_841, c_0_842])).
% 215.84/215.56 thf(c_0_858, plain, (p62|~p64), inference(fof_simplification,[status(thm)],[ax544])).
% 215.84/215.56 thf(c_0_859, plain, (p60|~p62), inference(split_conjunct,[status(thm)],[c_0_843])).
% 215.84/215.56 thf(c_0_860, plain, ~p60, inference(sr,[status(thm)],[c_0_844, c_0_845])).
% 215.84/215.56 thf(c_0_861, plain, (p94|~p96), inference(fof_simplification,[status(thm)],[ax510])).
% 215.84/215.56 thf(c_0_862, plain, (p96|~p98), inference(split_conjunct,[status(thm)],[c_0_846])).
% 215.84/215.56 thf(c_0_863, plain, (p98|~p188), inference(spm,[status(thm)],[c_0_847, c_0_848])).
% 215.84/215.56 thf(c_0_864, plain, (p188|~p189), inference(split_conjunct,[status(thm)],[c_0_849])).
% 215.84/215.56 thf(c_0_865, plain, (p189|~p253), inference(spm,[status(thm)],[c_0_850, c_0_851])).
% 215.84/215.56 thf(c_0_866, plain, (p253|~p254), inference(split_conjunct,[status(thm)],[c_0_852])).
% 215.84/215.56 thf(c_0_867, plain, (p254|~p268), inference(spm,[status(thm)],[c_0_853, c_0_854])).
% 215.84/215.56 thf(c_0_868, plain, (p273|~p275), inference(fof_simplification,[status(thm)],[ax322])).
% 215.84/215.56 thf(c_0_869, plain, (p275|~p277), inference(split_conjunct,[status(thm)],[c_0_855])).
% 215.84/215.56 thf(c_0_870, plain, (p277|~p433), inference(spm,[status(thm)],[c_0_856, c_0_857])).
% 215.84/215.56 thf(c_0_871, plain, (p64|~p66), inference(fof_simplification,[status(thm)],[ax542])).
% 215.84/215.56 thf(c_0_872, plain, (p62|~p64), inference(split_conjunct,[status(thm)],[c_0_858])).
% 215.84/215.56 thf(c_0_873, plain, ~p62, inference(sr,[status(thm)],[c_0_859, c_0_860])).
% 215.84/215.56 thf(c_0_874, plain, (p94|~p96), inference(split_conjunct,[status(thm)],[c_0_861])).
% 215.84/215.56 thf(c_0_875, plain, (p96|~p188), inference(spm,[status(thm)],[c_0_862, c_0_863])).
% 215.84/215.56 thf(c_0_876, plain, (p188|~p253), inference(spm,[status(thm)],[c_0_864, c_0_865])).
% 215.84/215.56 thf(c_0_877, plain, (p253|~p268), inference(spm,[status(thm)],[c_0_866, c_0_867])).
% 215.84/215.56 thf(c_0_878, plain, (p271|~p273), inference(fof_simplification,[status(thm)],[ax324])).
% 215.84/215.56 thf(c_0_879, plain, (p273|~p275), inference(split_conjunct,[status(thm)],[c_0_868])).
% 215.84/215.56 thf(c_0_880, plain, (p275|~p433), inference(spm,[status(thm)],[c_0_869, c_0_870])).
% 215.84/215.56 thf(c_0_881, plain, (p66|~p68), inference(fof_simplification,[status(thm)],[ax540])).
% 215.84/215.56 thf(c_0_882, plain, (p64|~p66), inference(split_conjunct,[status(thm)],[c_0_871])).
% 215.84/215.56 thf(c_0_883, plain, ~p64, inference(sr,[status(thm)],[c_0_872, c_0_873])).
% 215.84/215.56 thf(c_0_884, plain, (p92|~p94), inference(fof_simplification,[status(thm)],[ax512])).
% 215.84/215.56 thf(c_0_885, plain, (p94|~p188), inference(spm,[status(thm)],[c_0_874, c_0_875])).
% 215.84/215.56 thf(c_0_886, plain, (p188|~p268), inference(spm,[status(thm)],[c_0_876, c_0_877])).
% 215.84/215.56 thf(c_0_887, plain, (p269|~p271), inference(fof_simplification,[status(thm)],[ax326])).
% 215.84/215.56 thf(c_0_888, plain, (p271|~p273), inference(split_conjunct,[status(thm)],[c_0_878])).
% 215.84/215.56 thf(c_0_889, plain, (p273|~p433), inference(spm,[status(thm)],[c_0_879, c_0_880])).
% 215.84/215.56 thf(c_0_890, plain, (p68|~p70), inference(fof_simplification,[status(thm)],[ax538])).
% 215.84/215.56 thf(c_0_891, plain, (p66|~p68), inference(split_conjunct,[status(thm)],[c_0_881])).
% 215.84/215.56 thf(c_0_892, plain, ~p66, inference(sr,[status(thm)],[c_0_882, c_0_883])).
% 215.84/215.56 thf(c_0_893, plain, (p90|~p92), inference(fof_simplification,[status(thm)],[ax514])).
% 215.84/215.56 thf(c_0_894, plain, (p92|~p94), inference(split_conjunct,[status(thm)],[c_0_884])).
% 215.84/215.56 thf(c_0_895, plain, (p94|~p268), inference(spm,[status(thm)],[c_0_885, c_0_886])).
% 215.84/215.56 thf(c_0_896, plain, (p268|~p269), inference(fof_simplification,[status(thm)],[ax328])).
% 215.84/215.56 thf(c_0_897, plain, (p269|~p271), inference(split_conjunct,[status(thm)],[c_0_887])).
% 215.84/215.56 thf(c_0_898, plain, (p271|~p433), inference(spm,[status(thm)],[c_0_888, c_0_889])).
% 215.84/215.56 thf(c_0_899, plain, (p70|~p71), inference(fof_simplification,[status(thm)],[ax536])).
% 215.84/215.56 thf(c_0_900, plain, (p68|~p70), inference(split_conjunct,[status(thm)],[c_0_890])).
% 215.84/215.56 thf(c_0_901, plain, ~p68, inference(sr,[status(thm)],[c_0_891, c_0_892])).
% 215.84/215.56 thf(c_0_902, plain, (p90|~p92), inference(split_conjunct,[status(thm)],[c_0_893])).
% 215.84/215.56 thf(c_0_903, plain, (p92|~p268), inference(spm,[status(thm)],[c_0_894, c_0_895])).
% 215.84/215.56 thf(c_0_904, plain, (p268|~p269), inference(split_conjunct,[status(thm)],[c_0_896])).
% 215.84/215.56 thf(c_0_905, plain, (p269|~p433), inference(spm,[status(thm)],[c_0_897, c_0_898])).
% 215.84/215.56 thf(c_0_906, plain, (p71|~p73), inference(fof_simplification,[status(thm)],[ax534])).
% 215.84/215.56 thf(c_0_907, plain, (p70|~p71), inference(split_conjunct,[status(thm)],[c_0_899])).
% 215.84/215.56 thf(c_0_908, plain, ~p70, inference(sr,[status(thm)],[c_0_900, c_0_901])).
% 215.84/215.56 thf(c_0_909, plain, (p88|~p90), inference(fof_simplification,[status(thm)],[ax516])).
% 215.84/215.56 thf(c_0_910, plain, (p90|~p268), inference(spm,[status(thm)],[c_0_902, c_0_903])).
% 215.84/215.56 thf(c_0_911, plain, (p268|~p433), inference(spm,[status(thm)],[c_0_904, c_0_905])).
% 215.84/215.56 thf(c_0_912, plain, (p73|~p75), inference(fof_simplification,[status(thm)],[ax532])).
% 215.84/215.56 thf(c_0_913, plain, (p71|~p73), inference(split_conjunct,[status(thm)],[c_0_906])).
% 215.84/215.56 thf(c_0_914, plain, ~p71, inference(sr,[status(thm)],[c_0_907, c_0_908])).
% 215.84/215.56 thf(c_0_915, plain, (p86|~p88), inference(fof_simplification,[status(thm)],[ax518])).
% 215.84/215.56 thf(c_0_916, plain, (p88|~p90), inference(split_conjunct,[status(thm)],[c_0_909])).
% 215.84/215.56 thf(c_0_917, plain, (p90|~p433), inference(spm,[status(thm)],[c_0_910, c_0_911])).
% 215.84/215.56 thf(c_0_918, plain, (p75|~p77), inference(fof_simplification,[status(thm)],[ax530])).
% 215.84/215.56 thf(c_0_919, plain, (p73|~p75), inference(split_conjunct,[status(thm)],[c_0_912])).
% 215.84/215.56 thf(c_0_920, plain, ~p73, inference(sr,[status(thm)],[c_0_913, c_0_914])).
% 215.84/215.56 thf(c_0_921, plain, (p84|~p86), inference(fof_simplification,[status(thm)],[ax520])).
% 215.84/215.56 thf(c_0_922, plain, (p86|~p88), inference(split_conjunct,[status(thm)],[c_0_915])).
% 215.84/215.56 thf(c_0_923, plain, (p88|~p433), inference(spm,[status(thm)],[c_0_916, c_0_917])).
% 215.84/215.56 thf(c_0_924, plain, (p77|~p79), inference(fof_simplification,[status(thm)],[ax528])).
% 215.84/215.56 thf(c_0_925, plain, (p75|~p77), inference(split_conjunct,[status(thm)],[c_0_918])).
% 215.84/215.56 thf(c_0_926, plain, ~p75, inference(sr,[status(thm)],[c_0_919, c_0_920])).
% 215.84/215.56 thf(c_0_927, plain, (p82|~p84), inference(fof_simplification,[status(thm)],[ax522])).
% 215.84/215.56 thf(c_0_928, plain, (p84|~p86), inference(split_conjunct,[status(thm)],[c_0_921])).
% 215.84/215.56 thf(c_0_929, plain, (p86|~p433), inference(spm,[status(thm)],[c_0_922, c_0_923])).
% 215.84/215.56 thf(c_0_930, plain, (p79|~p81), inference(fof_simplification,[status(thm)],[ax526])).
% 215.84/215.56 thf(c_0_931, plain, (p77|~p79), inference(split_conjunct,[status(thm)],[c_0_924])).
% 215.84/215.56 thf(c_0_932, plain, ~p77, inference(sr,[status(thm)],[c_0_925, c_0_926])).
% 215.84/215.56 thf(c_0_933, plain, (p81|~p82), inference(fof_simplification,[status(thm)],[ax524])).
% 215.84/215.56 thf(c_0_934, plain, (p82|~p84), inference(split_conjunct,[status(thm)],[c_0_927])).
% 215.84/215.56 thf(c_0_935, plain, (p84|~p433), inference(spm,[status(thm)],[c_0_928, c_0_929])).
% 215.84/215.56 thf(c_0_936, plain, (p79|~p81), inference(split_conjunct,[status(thm)],[c_0_930])).
% 215.84/215.56 thf(c_0_937, plain, ~p79, inference(sr,[status(thm)],[c_0_931, c_0_932])).
% 215.84/215.56 thf(c_0_938, plain, (p81|~p82), inference(split_conjunct,[status(thm)],[c_0_933])).
% 215.84/215.56 thf(c_0_939, plain, (p82|~p433), inference(spm,[status(thm)],[c_0_934, c_0_935])).
% 215.84/215.56 thf(c_0_940, plain, ~p81, inference(sr,[status(thm)],[c_0_936, c_0_937])).
% 215.84/215.56 thf(c_0_941, plain, (~p434|fin @ f__3 @ f__0), inference(fof_nnf,[status(thm)],[pax434])).
% 215.84/215.56 thf(c_0_942, plain, (p433|p434), inference(split_conjunct,[status(thm)],[ax161])).
% 215.84/215.56 thf(c_0_943, plain, ~p433, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_938, c_0_939]), c_0_940])).
% 215.84/215.56 thf(c_0_944, plain, (~fin @ (fsetunion @ (fsetadjoin @ f__3 @ femptyset)) @ f__0|p522), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax522])])).
% 215.84/215.56 thf(c_0_945, plain, ![X447:$i]:(~p292|(fsetunion @ (fsetadjoin @ X447 @ femptyset))=(X447)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax292])])])).
% 215.84/215.56 thf(c_0_946, plain, (fin @ f__3 @ f__0|~p434), inference(split_conjunct,[status(thm)],[c_0_941])).
% 215.84/215.56 thf(c_0_947, plain, p434, inference(sr,[status(thm)],[c_0_942, c_0_943])).
% 215.84/215.56 thf(c_0_948, plain, (p522|~fin @ (fsetunion @ (fsetadjoin @ f__3 @ femptyset)) @ f__0), inference(split_conjunct,[status(thm)],[c_0_944])).
% 215.84/215.56 thf(c_0_949, plain, ![X1:$i]:((fsetunion @ (fsetadjoin @ X1 @ femptyset))=(X1)|~p292), inference(split_conjunct,[status(thm)],[c_0_945])).
% 215.84/215.56 thf(c_0_950, plain, fin @ f__3 @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_946, c_0_947])])).
% 215.84/215.56 thf(c_0_951, plain, (p522|~p292), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_948, c_0_949]), c_0_950])])).
% 215.84/215.56 thf(c_0_952, plain, (p291|p292), inference(split_conjunct,[status(thm)],[ax305])).
% 215.84/215.56 thf(c_0_953, plain, (p291|p522), inference(spm,[status(thm)],[c_0_951, c_0_952])).
% 215.84/215.56 thf(c_0_954, plain, (p522|p289), inference(spm,[status(thm)],[c_0_753, c_0_953])).
% 215.84/215.56 thf(c_0_955, plain, (p430|p431), inference(split_conjunct,[status(thm)],[ax164])).
% 215.84/215.56 thf(c_0_956, plain, (p423|p424), inference(split_conjunct,[status(thm)],[ax171])).
% 215.84/215.56 thf(c_0_957, plain, (p419|p420), inference(split_conjunct,[status(thm)],[ax175])).
% 215.84/215.56 thf(c_0_958, plain, (p522|p287), inference(spm,[status(thm)],[c_0_771, c_0_954])).
% 215.84/215.56 thf(c_0_959, plain, (p431|p425), inference(spm,[status(thm)],[c_0_278, c_0_955])).
% 215.84/215.56 thf(c_0_960, plain, (p424|p421), inference(spm,[status(thm)],[c_0_284, c_0_956])).
% 215.84/215.56 thf(c_0_961, plain, (p420|p417), inference(spm,[status(thm)],[c_0_292, c_0_957])).
% 215.84/215.56 thf(c_0_962, plain, (p522|p285), inference(spm,[status(thm)],[c_0_791, c_0_958])).
% 215.84/215.56 thf(c_0_963, plain, (p431|p423), inference(spm,[status(thm)],[c_0_281, c_0_959])).
% 215.84/215.56 thf(c_0_964, plain, (p424|p419), inference(spm,[status(thm)],[c_0_287, c_0_960])).
% 215.84/215.56 thf(c_0_965, plain, (p420|p415), inference(spm,[status(thm)],[c_0_298, c_0_961])).
% 215.84/215.56 thf(c_0_966, plain, ((f__2)!=(fsetunion @ (fsetadjoin @ f__2 @ femptyset))|p453), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax453])])).
% 215.84/215.56 thf(c_0_967, plain, (p522|p283), inference(spm,[status(thm)],[c_0_810, c_0_962])).
% 215.84/215.56 thf(c_0_968, plain, (p431|p421), inference(spm,[status(thm)],[c_0_284, c_0_963])).
% 215.84/215.56 thf(c_0_969, plain, (p424|p417), inference(spm,[status(thm)],[c_0_292, c_0_964])).
% 215.84/215.56 thf(c_0_970, plain, (p420|p414), inference(spm,[status(thm)],[c_0_302, c_0_965])).
% 215.84/215.56 thf(c_0_971, plain, (p453|(f__2)!=(fsetunion @ (fsetadjoin @ f__2 @ femptyset))), inference(split_conjunct,[status(thm)],[c_0_966])).
% 215.84/215.56 thf(c_0_972, plain, (p522|p281), inference(spm,[status(thm)],[c_0_826, c_0_967])).
% 215.84/215.56 thf(c_0_973, plain, (p431|p419), inference(spm,[status(thm)],[c_0_287, c_0_968])).
% 215.84/215.56 thf(c_0_974, plain, (p424|p415), inference(spm,[status(thm)],[c_0_298, c_0_969])).
% 215.84/215.56 thf(c_0_975, plain, (p420|p408), inference(spm,[status(thm)],[c_0_305, c_0_970])).
% 215.84/215.56 thf(c_0_976, plain, (p453|~p292), inference(spm,[status(thm)],[c_0_971, c_0_949])).
% 215.84/215.56 thf(c_0_977, plain, (p522|p279), inference(spm,[status(thm)],[c_0_841, c_0_972])).
% 215.84/215.56 thf(c_0_978, plain, (p431|p417), inference(spm,[status(thm)],[c_0_292, c_0_973])).
% 215.84/215.56 thf(c_0_979, plain, (p424|p414), inference(spm,[status(thm)],[c_0_302, c_0_974])).
% 215.84/215.56 thf(c_0_980, plain, (p420|p406), inference(spm,[status(thm)],[c_0_308, c_0_975])).
% 215.84/215.56 thf(c_0_981, plain, (p291|p453), inference(spm,[status(thm)],[c_0_976, c_0_952])).
% 215.84/215.56 thf(c_0_982, plain, (p522|p277), inference(spm,[status(thm)],[c_0_856, c_0_977])).
% 215.84/215.56 thf(c_0_983, plain, (p431|p415), inference(spm,[status(thm)],[c_0_298, c_0_978])).
% 215.84/215.56 thf(c_0_984, plain, (p424|p408), inference(spm,[status(thm)],[c_0_305, c_0_979])).
% 215.84/215.56 thf(c_0_985, plain, (p420|p404), inference(spm,[status(thm)],[c_0_311, c_0_980])).
% 215.84/215.56 thf(c_0_986, plain, (p453|p289), inference(spm,[status(thm)],[c_0_753, c_0_981])).
% 215.84/215.56 thf(c_0_987, plain, (p522|p275), inference(spm,[status(thm)],[c_0_869, c_0_982])).
% 215.84/215.56 thf(c_0_988, plain, (p431|p414), inference(spm,[status(thm)],[c_0_302, c_0_983])).
% 215.84/215.56 thf(c_0_989, plain, (p424|p406), inference(spm,[status(thm)],[c_0_308, c_0_984])).
% 215.84/215.56 thf(c_0_990, plain, (p420|p402), inference(spm,[status(thm)],[c_0_314, c_0_985])).
% 215.84/215.56 thf(c_0_991, plain, (p453|p287), inference(spm,[status(thm)],[c_0_771, c_0_986])).
% 215.84/215.56 thf(c_0_992, plain, (p522|p273), inference(spm,[status(thm)],[c_0_879, c_0_987])).
% 215.84/215.56 thf(c_0_993, plain, (p431|p408), inference(spm,[status(thm)],[c_0_305, c_0_988])).
% 215.84/215.56 thf(c_0_994, plain, (p424|p404), inference(spm,[status(thm)],[c_0_311, c_0_989])).
% 215.84/215.56 thf(c_0_995, plain, (p420|p400), inference(spm,[status(thm)],[c_0_317, c_0_990])).
% 215.84/215.56 thf(c_0_996, plain, (p453|p285), inference(spm,[status(thm)],[c_0_791, c_0_991])).
% 215.84/215.56 thf(c_0_997, plain, (p522|p271), inference(spm,[status(thm)],[c_0_888, c_0_992])).
% 215.84/215.56 thf(c_0_998, plain, (p431|p406), inference(spm,[status(thm)],[c_0_308, c_0_993])).
% 215.84/215.56 thf(c_0_999, plain, (p424|p402), inference(spm,[status(thm)],[c_0_314, c_0_994])).
% 215.84/215.56 thf(c_0_1000, plain, (p420|p398), inference(spm,[status(thm)],[c_0_320, c_0_995])).
% 215.84/215.56 thf(c_0_1001, plain, (p453|p283), inference(spm,[status(thm)],[c_0_810, c_0_996])).
% 215.84/215.56 thf(c_0_1002, plain, (~p460|p459), inference(fof_simplification,[status(thm)],[ax139])).
% 215.84/215.56 thf(c_0_1003, plain, (p522|p269), inference(spm,[status(thm)],[c_0_897, c_0_997])).
% 215.84/215.56 thf(c_0_1004, plain, (p431|p404), inference(spm,[status(thm)],[c_0_311, c_0_998])).
% 215.84/215.56 thf(c_0_1005, plain, (p424|p400), inference(spm,[status(thm)],[c_0_317, c_0_999])).
% 215.84/215.56 thf(c_0_1006, plain, (p420|p396), inference(spm,[status(thm)],[c_0_323, c_0_1000])).
% 215.84/215.56 thf(c_0_1007, plain, (p453|p281), inference(spm,[status(thm)],[c_0_826, c_0_1001])).
% 215.84/215.56 thf(c_0_1008, plain, (~p459|p458), inference(fof_simplification,[status(thm)],[ax138])).
% 215.84/215.56 thf(c_0_1009, plain, (p459|~p460), inference(split_conjunct,[status(thm)],[c_0_1002])).
% 215.84/215.56 thf(c_0_1010, plain, p460, inference(split_conjunct,[status(thm)],[ax140])).
% 215.84/215.56 thf(c_0_1011, plain, (~p459|p474), inference(fof_simplification,[status(thm)],[ax123])).
% 215.84/215.56 thf(c_0_1012, plain, (p522|p268), inference(spm,[status(thm)],[c_0_904, c_0_1003])).
% 215.84/215.56 thf(c_0_1013, plain, (p431|p402), inference(spm,[status(thm)],[c_0_314, c_0_1004])).
% 215.84/215.56 thf(c_0_1014, plain, (p424|p398), inference(spm,[status(thm)],[c_0_320, c_0_1005])).
% 215.84/215.56 thf(c_0_1015, plain, (p420|p394), inference(spm,[status(thm)],[c_0_326, c_0_1006])).
% 215.84/215.56 thf(c_0_1016, plain, (p453|p279), inference(spm,[status(thm)],[c_0_841, c_0_1007])).
% 215.84/215.56 thf(c_0_1017, plain, (~p456|~p454|~p453), inference(fof_simplification,[status(thm)],[ax135])).
% 215.84/215.56 thf(c_0_1018, plain, (~p457|p456), inference(fof_simplification,[status(thm)],[ax136])).
% 215.84/215.56 thf(c_0_1019, plain, (~p458|p444|p457), inference(fof_simplification,[status(thm)],[ax137])).
% 215.84/215.56 thf(c_0_1020, plain, (p458|~p459), inference(split_conjunct,[status(thm)],[c_0_1008])).
% 215.84/215.56 thf(c_0_1021, plain, p459, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1009, c_0_1010])])).
% 215.84/215.56 thf(c_0_1022, plain, (~p523|~p510|~p522), inference(fof_simplification,[status(thm)],[ax62])).
% 215.84/215.56 thf(c_0_1023, plain, (~p473|p523), inference(fof_simplification,[status(thm)],[ax63])).
% 215.84/215.56 thf(c_0_1024, plain, (~p474|p435|p473), inference(fof_simplification,[status(thm)],[ax122])).
% 215.84/215.56 thf(c_0_1025, plain, (p474|~p459), inference(split_conjunct,[status(thm)],[c_0_1011])).
% 215.84/215.56 thf(c_0_1026, plain, (p522|p90), inference(spm,[status(thm)],[c_0_910, c_0_1012])).
% 215.84/215.56 thf(c_0_1027, plain, (p431|p400), inference(spm,[status(thm)],[c_0_317, c_0_1013])).
% 215.84/215.56 thf(c_0_1028, plain, (p424|p396), inference(spm,[status(thm)],[c_0_323, c_0_1014])).
% 215.84/215.56 thf(c_0_1029, plain, (p420|p392), inference(spm,[status(thm)],[c_0_329, c_0_1015])).
% 215.84/215.56 thf(c_0_1030, plain, (~p517|p516), inference(fof_simplification,[status(thm)],[ax69])).
% 215.84/215.56 thf(c_0_1031, plain, (~p420|p517), inference(fof_simplification,[status(thm)],[ax68])).
% 215.84/215.56 thf(c_0_1032, plain, (~p466|p465), inference(fof_simplification,[status(thm)],[ax129])).
% 215.84/215.56 thf(c_0_1033, plain, (~p424|p466), inference(fof_simplification,[status(thm)],[ax128])).
% 215.84/215.56 thf(c_0_1034, plain, (p453|p277), inference(spm,[status(thm)],[c_0_856, c_0_1016])).
% 215.84/215.56 thf(c_0_1035, plain, (~p431|p435|~p444|~p437), inference(fof_simplification,[status(thm)],[ax150])).
% 215.84/215.56 thf(c_0_1036, plain, (~p456|~p454|~p453), inference(split_conjunct,[status(thm)],[c_0_1017])).
% 215.84/215.56 thf(c_0_1037, plain, (p456|~p457), inference(split_conjunct,[status(thm)],[c_0_1018])).
% 215.84/215.56 thf(c_0_1038, plain, (p444|p457|~p458), inference(split_conjunct,[status(thm)],[c_0_1019])).
% 215.84/215.56 thf(c_0_1039, plain, p458, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1020, c_0_1021])])).
% 215.84/215.56 thf(c_0_1040, plain, (~p523|~p510|~p522), inference(split_conjunct,[status(thm)],[c_0_1022])).
% 215.84/215.56 thf(c_0_1041, plain, (p523|~p473), inference(split_conjunct,[status(thm)],[c_0_1023])).
% 215.84/215.56 thf(c_0_1042, plain, (p435|p473|~p474), inference(split_conjunct,[status(thm)],[c_0_1024])).
% 215.84/215.56 thf(c_0_1043, plain, p474, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1025, c_0_1021])])).
% 215.84/215.56 thf(c_0_1044, plain, (p522|p88), inference(spm,[status(thm)],[c_0_916, c_0_1026])).
% 215.84/215.56 thf(c_0_1045, plain, (p431|p398), inference(spm,[status(thm)],[c_0_320, c_0_1027])).
% 215.84/215.56 thf(c_0_1046, plain, (p424|p394), inference(spm,[status(thm)],[c_0_326, c_0_1028])).
% 215.84/215.56 thf(c_0_1047, plain, (p420|p390), inference(spm,[status(thm)],[c_0_332, c_0_1029])).
% 215.84/215.56 thf(c_0_1048, plain, (~p516|p515), inference(fof_simplification,[status(thm)],[ax70])).
% 215.84/215.56 thf(c_0_1049, plain, (p516|~p517), inference(split_conjunct,[status(thm)],[c_0_1030])).
% 215.84/215.56 thf(c_0_1050, plain, (p517|~p420), inference(split_conjunct,[status(thm)],[c_0_1031])).
% 215.84/215.56 thf(c_0_1051, plain, (~p465|p464), inference(fof_simplification,[status(thm)],[ax130])).
% 215.84/215.56 thf(c_0_1052, plain, (p465|~p466), inference(split_conjunct,[status(thm)],[c_0_1032])).
% 215.84/215.56 thf(c_0_1053, plain, (p466|~p424), inference(split_conjunct,[status(thm)],[c_0_1033])).
% 215.84/215.56 thf(c_0_1054, plain, (p453|p275), inference(spm,[status(thm)],[c_0_869, c_0_1034])).
% 215.84/215.56 thf(c_0_1055, plain, (p435|~p431|~p444|~p437), inference(split_conjunct,[status(thm)],[c_0_1035])).
% 215.84/215.56 thf(c_0_1056, plain, p437, inference(split_conjunct,[status(thm)],[ax158])).
% 215.84/215.56 thf(c_0_1057, plain, (~p453|~p454|~p457), inference(spm,[status(thm)],[c_0_1036, c_0_1037])).
% 215.84/215.56 thf(c_0_1058, plain, (p457|p444), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1038, c_0_1039])])).
% 215.84/215.56 thf(c_0_1059, plain, (p433|~p435), inference(fof_simplification,[status(thm)],[ax160])).
% 215.84/215.56 thf(c_0_1060, plain, (~p510|~p522|~p473), inference(spm,[status(thm)],[c_0_1040, c_0_1041])).
% 215.84/215.56 thf(c_0_1061, plain, (p473|p435), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1042, c_0_1043])])).
% 215.84/215.56 thf(c_0_1062, plain, (p522|p86), inference(spm,[status(thm)],[c_0_922, c_0_1044])).
% 215.84/215.56 thf(c_0_1063, plain, (p431|p396), inference(spm,[status(thm)],[c_0_323, c_0_1045])).
% 215.84/215.56 thf(c_0_1064, plain, (p424|p392), inference(spm,[status(thm)],[c_0_329, c_0_1046])).
% 215.84/215.56 thf(c_0_1065, plain, (p420|p388), inference(spm,[status(thm)],[c_0_335, c_0_1047])).
% 215.84/215.56 thf(c_0_1066, plain, (~p515|~p431|p514), inference(fof_simplification,[status(thm)],[ax71])).
% 215.84/215.56 thf(c_0_1067, plain, (p515|~p516), inference(split_conjunct,[status(thm)],[c_0_1048])).
% 215.84/215.56 thf(c_0_1068, plain, (p516|~p420), inference(spm,[status(thm)],[c_0_1049, c_0_1050])).
% 215.84/215.56 thf(c_0_1069, plain, (~p464|~p431|p463), inference(fof_simplification,[status(thm)],[ax131])).
% 215.84/215.56 thf(c_0_1070, plain, (p464|~p465), inference(split_conjunct,[status(thm)],[c_0_1051])).
% 215.84/215.56 thf(c_0_1071, plain, (p465|~p424), inference(spm,[status(thm)],[c_0_1052, c_0_1053])).
% 215.84/215.56 thf(c_0_1072, plain, (p453|p273), inference(spm,[status(thm)],[c_0_879, c_0_1054])).
% 215.84/215.56 thf(c_0_1073, plain, (~p513|~p434|p512), inference(fof_simplification,[status(thm)],[ax73])).
% 215.84/215.56 thf(c_0_1074, plain, (p435|~p431|~p444), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1055, c_0_1056])])).
% 215.84/215.56 thf(c_0_1075, plain, (p444|~p453|~p454), inference(spm,[status(thm)],[c_0_1057, c_0_1058])).
% 215.84/215.56 thf(c_0_1076, plain, (p433|~p435), inference(split_conjunct,[status(thm)],[c_0_1059])).
% 215.84/215.56 thf(c_0_1077, plain, (p435|~p510|~p522), inference(spm,[status(thm)],[c_0_1060, c_0_1061])).
% 215.84/215.56 thf(c_0_1078, plain, (p522|p84), inference(spm,[status(thm)],[c_0_928, c_0_1062])).
% 215.84/215.56 thf(c_0_1079, plain, (p431|p394), inference(spm,[status(thm)],[c_0_326, c_0_1063])).
% 215.84/215.56 thf(c_0_1080, plain, (p424|p390), inference(spm,[status(thm)],[c_0_332, c_0_1064])).
% 215.84/215.56 thf(c_0_1081, plain, (p420|p386), inference(spm,[status(thm)],[c_0_338, c_0_1065])).
% 215.84/215.56 thf(c_0_1082, plain, (~p514|p513), inference(fof_simplification,[status(thm)],[ax72])).
% 215.84/215.56 thf(c_0_1083, plain, (p514|~p515|~p431), inference(split_conjunct,[status(thm)],[c_0_1066])).
% 215.84/215.56 thf(c_0_1084, plain, (p515|~p420), inference(spm,[status(thm)],[c_0_1067, c_0_1068])).
% 215.84/215.56 thf(c_0_1085, plain, (~p463|p462), inference(fof_simplification,[status(thm)],[ax132])).
% 215.84/215.56 thf(c_0_1086, plain, (p463|~p464|~p431), inference(split_conjunct,[status(thm)],[c_0_1069])).
% 215.84/215.56 thf(c_0_1087, plain, (p464|~p424), inference(spm,[status(thm)],[c_0_1070, c_0_1071])).
% 215.84/215.56 thf(c_0_1088, plain, (p453|p271), inference(spm,[status(thm)],[c_0_888, c_0_1072])).
% 215.84/215.56 thf(c_0_1089, plain, (~p512|p455|p510), inference(fof_simplification,[status(thm)],[ax74])).
% 215.84/215.56 thf(c_0_1090, plain, (p512|~p513|~p434), inference(split_conjunct,[status(thm)],[c_0_1073])).
% 215.84/215.56 thf(c_0_1091, plain, (~p462|~p434|p461), inference(fof_simplification,[status(thm)],[ax133])).
% 215.84/215.56 thf(c_0_1092, plain, (p435|~p431|~p453|~p454), inference(spm,[status(thm)],[c_0_1074, c_0_1075])).
% 215.84/215.56 thf(c_0_1093, plain, (p433|~p510|~p522), inference(spm,[status(thm)],[c_0_1076, c_0_1077])).
% 215.84/215.56 thf(c_0_1094, plain, (p522|p82), inference(spm,[status(thm)],[c_0_934, c_0_1078])).
% 215.84/215.56 thf(c_0_1095, plain, (p431|p392), inference(spm,[status(thm)],[c_0_329, c_0_1079])).
% 215.84/215.56 thf(c_0_1096, plain, (p424|p388), inference(spm,[status(thm)],[c_0_335, c_0_1080])).
% 215.84/215.56 thf(c_0_1097, plain, (p420|p384), inference(spm,[status(thm)],[c_0_341, c_0_1081])).
% 215.84/215.56 thf(c_0_1098, plain, (p513|~p514), inference(split_conjunct,[status(thm)],[c_0_1082])).
% 215.84/215.56 thf(c_0_1099, plain, (p514|~p431|~p420), inference(spm,[status(thm)],[c_0_1083, c_0_1084])).
% 215.84/215.56 thf(c_0_1100, plain, (p462|~p463), inference(split_conjunct,[status(thm)],[c_0_1085])).
% 215.84/215.56 thf(c_0_1101, plain, (p463|~p431|~p424), inference(spm,[status(thm)],[c_0_1086, c_0_1087])).
% 215.84/215.56 thf(c_0_1102, plain, (p453|p269), inference(spm,[status(thm)],[c_0_897, c_0_1088])).
% 215.84/215.56 thf(c_0_1103, plain, (p455|p510|~p512), inference(split_conjunct,[status(thm)],[c_0_1089])).
% 215.84/215.56 thf(c_0_1104, plain, (p512|~p513), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1090, c_0_947])])).
% 215.84/215.56 thf(c_0_1105, plain, (p461|~p462|~p434), inference(split_conjunct,[status(thm)],[c_0_1091])).
% 215.84/215.56 thf(c_0_1106, plain, (p433|~p431|~p453|~p454), inference(spm,[status(thm)],[c_0_1076, c_0_1092])).
% 215.84/215.56 thf(c_0_1107, plain, (~p461|~p455|p454), inference(fof_simplification,[status(thm)],[ax134])).
% 215.84/215.56 thf(c_0_1108, plain, (~p510|~p522), inference(spm,[status(thm)],[c_0_943, c_0_1093])).
% 215.84/215.56 thf(c_0_1109, plain, p522, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_938, c_0_1094]), c_0_940])).
% 215.84/215.56 thf(c_0_1110, plain, (p390|p431), inference(spm,[status(thm)],[c_0_332, c_0_1095])).
% 215.84/215.56 thf(c_0_1111, plain, (p386|p424), inference(spm,[status(thm)],[c_0_338, c_0_1096])).
% 215.84/215.56 thf(c_0_1112, plain, (p383|p420), inference(spm,[status(thm)],[c_0_344, c_0_1097])).
% 215.84/215.56 thf(c_0_1113, plain, (p513|~p431|~p420), inference(spm,[status(thm)],[c_0_1098, c_0_1099])).
% 215.84/215.56 thf(c_0_1114, plain, (p462|~p431|~p424), inference(spm,[status(thm)],[c_0_1100, c_0_1101])).
% 215.84/215.56 thf(c_0_1115, plain, (p453|p268), inference(spm,[status(thm)],[c_0_904, c_0_1102])).
% 215.84/215.56 thf(c_0_1116, plain, (p510|p455|~p513), inference(spm,[status(thm)],[c_0_1103, c_0_1104])).
% 215.84/215.56 thf(c_0_1117, plain, (p461|~p462), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1105, c_0_947])])).
% 215.84/215.56 thf(c_0_1118, plain, (~p431|~p453|~p454), inference(spm,[status(thm)],[c_0_943, c_0_1106])).
% 215.84/215.56 thf(c_0_1119, plain, (p454|~p461|~p455), inference(split_conjunct,[status(thm)],[c_0_1107])).
% 215.84/215.56 thf(c_0_1120, plain, ~p510, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1108, c_0_1109])])).
% 215.84/215.56 thf(c_0_1121, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_1110, c_0_1111, c_0_1112, c_0_1113, c_0_1114, c_0_1115, c_0_1116, c_0_1117, c_0_1118, c_0_886, c_0_818, c_0_817, c_0_1119, c_0_798, c_0_335, c_0_338, c_0_341, c_0_344, c_0_347, c_0_350, c_0_353, c_0_356, c_0_359, c_0_362, c_0_365, c_0_368, c_0_371, c_0_374, c_0_377, c_0_380, c_0_383, c_0_386, c_0_389, c_0_392, c_0_395, c_0_398, c_0_403, c_0_409, c_0_415, c_0_425, c_0_437, c_0_449, c_0_461, c_0_473, c_0_485, c_0_497, c_0_509, c_0_521, c_0_533, c_0_545, c_0_557, c_0_569, c_0_581, c_0_593, c_0_609, c_0_627, c_0_643, c_0_658, c_0_673, c_0_688, c_0_701, c_0_713, c_0_725, c_0_737, c_0_753, c_0_771, c_0_791, c_0_810, c_0_826, c_0_841, c_0_856, c_0_869, c_0_879, c_0_888, c_0_897, c_0_904, c_0_797, c_0_815, c_0_847, c_0_862, c_0_874, c_0_894, c_0_902, c_0_916, c_0_922, c_0_928, c_0_934, c_0_938, c_0_1120, c_0_940]), ['proof']).
% 215.84/215.56 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 215.84/215.56 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:$i]:(~(((in @ X2) @ 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X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ (powerset @ (powerset @ ((binunion @ X1) @ X2)))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (~((![X4:$i]:(((in @ X4) @ X1) => (![X5:$i]:(((in @ X5) @ X2) => (~((X3 = ((kpair @ X4) @ X5)))))))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => (iskpair @ X3))))) => ((![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (~((![X3:$i]:(((in @ X3) @ X1) => (~(((in @ X2) @ X3)))))))))) => ((![X1:$i]:((subset @ (setunion @ ((setadjoin @ X1) @ emptyset))) @ X1)) => ((![X1:$i]:((subset @ X1) @ (setunion @ ((setadjoin @ X1) @ emptyset)))) => ((![X1:$i]:((setunion @ ((setadjoin @ X1) @ emptyset)) = X1)) => ((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (singleton @ ((dsetconstr @ X1) @ X2)))))) => ((![X1:$i]:(![X2:$i>$o]:(((ex1 @ X1) @ X2) => (~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3)))))))))) => ((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => ((ex1 @ X1) @ X2))))))) => ((![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))))) => ((![X1:$i]:(![X2:$i]:((((setadjoin @ X1) @ emptyset) = ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset))) => (X1 = X3))))) => ((![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:((in @ ((setadjoin @ X2) @ emptyset)) @ X1)))))) => ((![X1:$i]:((singleton @ X1) => ((in @ (setunion @ X1)) @ X1))) => ((![X1:$i]:(![X2:$i]:((kfst @ ((kpair @ X1) @ X2)) = X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (kfst @ X3)) @ X1))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => (X1 = X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X1 = X3)))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X1) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => (((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ emptyset))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((setadjoin @ ((setadjoin @ X1) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset))) @ emptyset)) = ((setadjoin @ ((setadjoin @ X3) @ emptyset)) @ ((setadjoin @ ((setadjoin @ X3) @ ((setadjoin @ X4) @ emptyset))) @ emptyset))) => ((X3 = X4) => (X2 = X4))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((setadjoin @ X1) @ ((setadjoin @ X2) @ emptyset)) = ((setadjoin @ X3) @ emptyset)) => (X1 = X2))))) => ((![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)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((((kpair @ X1) @ X2) = ((kpair @ X3) @ X4)) => (X2 = X4)))))) => ((![X1:$i]:((iskpair @ X1) => (singleton @ ((dsetconstr @ (setunion @ X1)) @ (^[X2:$i]:(X1 = ((kpair @ (kfst @ X1)) @ X2))))))) => ((![X1:$i]:(![X2:$i]:((ksnd @ ((kpair @ X1) @ X2)) = X2))) => ((![X1:$i]:((iskpair @ X1) => (((kpair @ (kfst @ X1)) @ (ksnd @ X1)) = X1))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((cartprod @ X1) @ X2)) => ((in @ (ksnd @ X3)) @ X2))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X3) @ X1)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((in @ ((kpair @ X3) @ X4)) @ ((cartprod @ X1) @ X2)) => ((in @ X4) @ X2)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => (((kpair @ X3) @ X4) = ((kpair @ X3) @ X4)))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((kfst @ ((kpair @ X3) @ X4)) = X3))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X2) => ((ksnd @ ((kpair @ X3) @ X4)) = X4))))))) => ((![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:$i]:(((in @ X4) @ X1) => ((in @ ((((ap @ X1) @ X2) @ X3) @ X4)) @ X2))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i]:((((func @ X1) @ X2) @ X3) => ((in @ X3) @ ((funcSet @ X1) @ X2)))))) => ((![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))))))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => (((func @ X1) @ X2) @ (((lam @ X1) @ X2) @ X3)))))) => ((![X1:$i]:(![X2:$i]:(![X3:$i>$i]:((![X4:$i]:(((in @ X4) @ X1) => ((in @ (X3 @ X4)) @ X2))) => ((in @ (((lam @ X1) @ X2) @ X3)) @ ((funcSet @ X1) @ X2)))))) => ((![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))))))))) => ((![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))))))))) => ((![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 @ (setunion @ ((dsetconstr @ X1) @ (^[X5:$i]:((X2 => (~((X5 = X3)))) => (~(((~(X2)) => (~((X5 = X4))))))))))) @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 215.84/215.56 % SZS output end Proof
%------------------------------------------------------------------------------