TSTP Solution File: SEU523^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU523^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 13:52:47 EDT 2022
% Result : Theorem 47.08s 47.66s
% Output : Proof 47.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : SEU523^1 : TPTP v8.1.0. Released v3.7.0.
% 0.10/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 03:47:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 47.08/47.66 % SZS status Theorem
% 47.08/47.66 % Mode: mode371
% 47.08/47.66 % Inferences: 4119
% 47.08/47.66 % SZS output start Proof
% 47.08/47.66 thf(def_exu,definition,(exu = (^[X1:$i>$o]:(~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3)))))))))))).
% 47.08/47.66 thf(def_setextAx,definition,(setextAx = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))))).
% 47.08/47.66 thf(def_emptysetAx,definition,(emptysetAx = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.08/47.66 thf(def_setadjoinAx,definition,(setadjoinAx = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 47.08/47.66 thf(def_powersetAx,definition,(powersetAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 47.08/47.66 thf(def_setunionAx,definition,(setunionAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))))).
% 47.08/47.66 thf(def_omega0Ax,definition,(omega0Ax = ((in @ emptyset) @ omega))).
% 47.08/47.66 thf(def_omegaSAx,definition,(omegaSAx = (![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))))).
% 47.08/47.66 thf(def_omegaIndAx,definition,(omegaIndAx = (![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))))).
% 47.08/47.66 thf(def_replAx,definition,(replAx = (![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))))).
% 47.08/47.66 thf(def_foundationAx,definition,(foundationAx = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))))).
% 47.08/47.66 thf(def_wellorderingAx,definition,(wellorderingAx = (![X1:$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)))))))))))))))))))))).
% 47.08/47.66 thf(def_descrp,definition,(descrp = (![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))))).
% 47.08/47.66 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 47.08/47.66 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 47.08/47.66 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 47.08/47.66 thf(def_exuE1,definition,(exuE1 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))))).
% 47.08/47.66 thf(def_prop2set,definition,(prop2set = (^[X1:$o]:((dsetconstr @ (powerset @ emptyset)) @ (^[X2:$i]:X1))))).
% 47.08/47.66 thf(def_prop2setE,definition,(prop2setE = (![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))))).
% 47.08/47.66 thf(def_emptysetE,definition,(emptysetE = (![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))))).
% 47.08/47.66 thf(def_emptysetimpfalse,definition,(emptysetimpfalse = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.08/47.66 thf(def_notinemptyset,definition,(notinemptyset = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.08/47.66 thf(def_exuE3e,definition,(exuE3e = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))))).
% 47.08/47.66 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 47.08/47.66 thf(def_emptyI,definition,(emptyI = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 47.08/47.66 thf(def_noeltsimpempty,definition,(noeltsimpempty = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 47.08/47.66 thf(def_setbeta,definition,(setbeta = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))))).
% 47.08/47.66 thf(def_nonempty,definition,(nonempty = (^[X1:$i]:(~((X1 = emptyset)))))).
% 47.08/47.66 thf(def_nonemptyE1,definition,(nonemptyE1 = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 47.08/47.66 thf(def_nonemptyI,definition,(nonemptyI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))))).
% 47.08/47.66 thf(def_nonemptyI1,definition,(nonemptyI1 = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))))).
% 47.08/47.66 thf(def_setadjoinIL,definition,(setadjoinIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))))).
% 47.08/47.66 thf(def_emptyinunitempty,definition,(emptyinunitempty = ((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)))).
% 47.08/47.66 thf(def_setadjoinIR,definition,(setadjoinIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))))).
% 47.08/47.66 thf(def_setadjoinE,definition,(setadjoinE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))))).
% 47.08/47.66 thf(def_setadjoinOr,definition,(setadjoinOr = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 47.08/47.66 thf(def_setoftrueEq,definition,(setoftrueEq = (![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)))).
% 47.08/47.66 thf(def_powersetI,definition,(powersetI = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))))).
% 47.08/47.66 thf(def_emptyinPowerset,definition,(emptyinPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 47.08/47.66 thf(def_emptyInPowerset,definition,(emptyInPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 47.08/47.66 thf(def_powersetE,definition,(powersetE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 47.08/47.66 thf(def_setunionI,definition,(setunionI = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ X3) => (((in @ X3) @ X1) => ((in @ X2) @ (setunion @ X1))))))))).
% 47.08/47.66 thf(setunionE,conjecture,(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3))))))))))))))))))))))))))))))))))))))))))))).
% 47.08/47.66 thf(h0,negated_conjecture,(~((setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3)))))))))))))))))))))))))))))))))))))))))))))),inference(assume_negation,[status(cth)],[setunionE])).
% 47.08/47.66 thf(ax347, axiom, (p1|~(p45)), file('<stdin>', ax347)).
% 47.08/47.66 thf(ax391, axiom, ~(p1), file('<stdin>', ax391)).
% 47.08/47.66 thf(ax345, axiom, (p45|~(p47)), file('<stdin>', ax345)).
% 47.08/47.66 thf(ax343, axiom, (p47|~(p49)), file('<stdin>', ax343)).
% 47.08/47.66 thf(ax341, axiom, (p49|~(p51)), file('<stdin>', ax341)).
% 47.08/47.66 thf(ax339, axiom, (p51|~(p53)), file('<stdin>', ax339)).
% 47.08/47.66 thf(ax337, axiom, (p53|~(p55)), file('<stdin>', ax337)).
% 47.08/47.66 thf(ax335, axiom, (p55|~(p57)), file('<stdin>', ax335)).
% 47.08/47.66 thf(ax333, axiom, (p57|~(p59)), file('<stdin>', ax333)).
% 47.08/47.66 thf(ax331, axiom, (p59|~(p61)), file('<stdin>', ax331)).
% 47.08/47.66 thf(ax329, axiom, (p61|~(p63)), file('<stdin>', ax329)).
% 47.08/47.66 thf(ax327, axiom, (p63|~(p65)), file('<stdin>', ax327)).
% 47.08/47.66 thf(ax325, axiom, (p65|~(p67)), file('<stdin>', ax325)).
% 47.08/47.66 thf(ax323, axiom, (p67|~(p69)), file('<stdin>', ax323)).
% 47.08/47.66 thf(ax321, axiom, (p69|~(p71)), file('<stdin>', ax321)).
% 47.08/47.66 thf(ax319, axiom, (p71|~(p73)), file('<stdin>', ax319)).
% 47.08/47.66 thf(ax317, axiom, (p73|~(p75)), file('<stdin>', ax317)).
% 47.08/47.66 thf(ax315, axiom, (p75|~(p77)), file('<stdin>', ax315)).
% 47.08/47.66 thf(ax313, axiom, (p77|~(p79)), file('<stdin>', ax313)).
% 47.08/47.66 thf(ax311, axiom, (p79|~(p81)), file('<stdin>', ax311)).
% 47.08/47.66 thf(ax309, axiom, (p81|~(p83)), file('<stdin>', ax309)).
% 47.08/47.66 thf(ax307, axiom, (p83|~(p85)), file('<stdin>', ax307)).
% 47.08/47.66 thf(ax305, axiom, (p85|~(p87)), file('<stdin>', ax305)).
% 47.08/47.66 thf(ax303, axiom, (p87|~(p89)), file('<stdin>', ax303)).
% 47.08/47.66 thf(ax301, axiom, (p89|~(p91)), file('<stdin>', ax301)).
% 47.08/47.66 thf(ax299, axiom, (p91|~(p93)), file('<stdin>', ax299)).
% 47.08/47.66 thf(ax297, axiom, (p93|~(p95)), file('<stdin>', ax297)).
% 47.08/47.66 thf(ax295, axiom, (p95|~(p97)), file('<stdin>', ax295)).
% 47.08/47.66 thf(ax293, axiom, (p97|~(p99)), file('<stdin>', ax293)).
% 47.08/47.66 thf(ax291, axiom, (p99|~(p101)), file('<stdin>', ax291)).
% 47.08/47.66 thf(ax289, axiom, (p101|~(p103)), file('<stdin>', ax289)).
% 47.08/47.66 thf(ax287, axiom, (p103|~(p105)), file('<stdin>', ax287)).
% 47.08/47.66 thf(ax285, axiom, (p105|~(p107)), file('<stdin>', ax285)).
% 47.08/47.66 thf(ax283, axiom, (p107|~(p109)), file('<stdin>', ax283)).
% 47.08/47.66 thf(ax281, axiom, (p109|~(p111)), file('<stdin>', ax281)).
% 47.08/47.66 thf(ax279, axiom, (p111|~(p113)), file('<stdin>', ax279)).
% 47.08/47.66 thf(ax277, axiom, (p113|~(p115)), file('<stdin>', ax277)).
% 47.08/47.66 thf(ax275, axiom, (p115|~(p117)), file('<stdin>', ax275)).
% 47.08/47.66 thf(ax273, axiom, (p117|~(p119)), file('<stdin>', ax273)).
% 47.08/47.66 thf(ax271, axiom, (p119|~(p121)), file('<stdin>', ax271)).
% 47.08/47.66 thf(ax270, axiom, (p121|~(p122)), file('<stdin>', ax270)).
% 47.08/47.66 thf(ax269, axiom, (p122|~(p123)), file('<stdin>', ax269)).
% 47.08/47.66 thf(ax109, axiom, (~(p7)|~(p52)|p270), file('<stdin>', ax109)).
% 47.08/47.66 thf(ax340, axiom, (p51|p52), file('<stdin>', ax340)).
% 47.08/47.66 thf(ax267, axiom, (p123|~(p125)), file('<stdin>', ax267)).
% 47.08/47.66 thf(ax101, axiom, (~(p270)|p278), file('<stdin>', ax101)).
% 47.08/47.66 thf(ax385, axiom, p7, file('<stdin>', ax385)).
% 47.08/47.66 thf(ax266, axiom, (p125|~(p126)), file('<stdin>', ax266)).
% 47.08/47.66 thf(ax29, axiom, (~(p284)|~(p124)|~(p283)), file('<stdin>', ax29)).
% 47.08/47.66 thf(ax268, axiom, (p123|p124), file('<stdin>', ax268)).
% 47.08/47.66 thf(ax91, axiom, (~(p278)|p284), file('<stdin>', ax91)).
% 47.08/47.66 thf(nax126, axiom, (p126<=(![X1:$i]:(fin @ f__1 @ X1=>(fin @ X1 @ f__0=>f__2))=>f__2)), file('<stdin>', nax126)).
% 47.08/47.66 thf(pax127, axiom, (p127=>![X1:$i]:(fin @ f__1 @ X1=>(fin @ X1 @ f__0=>f__2))), file('<stdin>', pax127)).
% 47.08/47.66 thf(ax265, axiom, (p126|p127), file('<stdin>', ax265)).
% 47.08/47.66 thf(nax283, axiom, (p283<=![X1:$i]:(fin @ f__1 @ X1=>~(fin @ X1 @ f__0))), file('<stdin>', nax283)).
% 47.08/47.66 thf(c_0_55, plain, (p1|~p45), inference(fof_simplification,[status(thm)],[ax347])).
% 47.08/47.66 thf(c_0_56, plain, ~p1, inference(fof_simplification,[status(thm)],[ax391])).
% 47.08/47.66 thf(c_0_57, plain, (p45|~p47), inference(fof_simplification,[status(thm)],[ax345])).
% 47.08/47.66 thf(c_0_58, plain, (p1|~p45), inference(split_conjunct,[status(thm)],[c_0_55])).
% 47.08/47.66 thf(c_0_59, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_56])).
% 47.08/47.66 thf(c_0_60, plain, (p47|~p49), inference(fof_simplification,[status(thm)],[ax343])).
% 47.08/47.66 thf(c_0_61, plain, (p45|~p47), inference(split_conjunct,[status(thm)],[c_0_57])).
% 47.08/47.66 thf(c_0_62, plain, ~p45, inference(sr,[status(thm)],[c_0_58, c_0_59])).
% 47.08/47.66 thf(c_0_63, plain, (p49|~p51), inference(fof_simplification,[status(thm)],[ax341])).
% 47.08/47.66 thf(c_0_64, plain, (p47|~p49), inference(split_conjunct,[status(thm)],[c_0_60])).
% 47.08/47.66 thf(c_0_65, plain, ~p47, inference(sr,[status(thm)],[c_0_61, c_0_62])).
% 47.08/47.66 thf(c_0_66, plain, (p51|~p53), inference(fof_simplification,[status(thm)],[ax339])).
% 47.08/47.66 thf(c_0_67, plain, (p49|~p51), inference(split_conjunct,[status(thm)],[c_0_63])).
% 47.08/47.66 thf(c_0_68, plain, ~p49, inference(sr,[status(thm)],[c_0_64, c_0_65])).
% 47.08/47.66 thf(c_0_69, plain, (p53|~p55), inference(fof_simplification,[status(thm)],[ax337])).
% 47.08/47.66 thf(c_0_70, plain, (p51|~p53), inference(split_conjunct,[status(thm)],[c_0_66])).
% 47.08/47.66 thf(c_0_71, plain, ~p51, inference(sr,[status(thm)],[c_0_67, c_0_68])).
% 47.08/47.66 thf(c_0_72, plain, (p55|~p57), inference(fof_simplification,[status(thm)],[ax335])).
% 47.08/47.66 thf(c_0_73, plain, (p53|~p55), inference(split_conjunct,[status(thm)],[c_0_69])).
% 47.08/47.66 thf(c_0_74, plain, ~p53, inference(sr,[status(thm)],[c_0_70, c_0_71])).
% 47.08/47.66 thf(c_0_75, plain, (p57|~p59), inference(fof_simplification,[status(thm)],[ax333])).
% 47.08/47.66 thf(c_0_76, plain, (p55|~p57), inference(split_conjunct,[status(thm)],[c_0_72])).
% 47.08/47.66 thf(c_0_77, plain, ~p55, inference(sr,[status(thm)],[c_0_73, c_0_74])).
% 47.08/47.66 thf(c_0_78, plain, (p59|~p61), inference(fof_simplification,[status(thm)],[ax331])).
% 47.08/47.66 thf(c_0_79, plain, (p57|~p59), inference(split_conjunct,[status(thm)],[c_0_75])).
% 47.08/47.66 thf(c_0_80, plain, ~p57, inference(sr,[status(thm)],[c_0_76, c_0_77])).
% 47.08/47.66 thf(c_0_81, plain, (p61|~p63), inference(fof_simplification,[status(thm)],[ax329])).
% 47.08/47.66 thf(c_0_82, plain, (p59|~p61), inference(split_conjunct,[status(thm)],[c_0_78])).
% 47.08/47.66 thf(c_0_83, plain, ~p59, inference(sr,[status(thm)],[c_0_79, c_0_80])).
% 47.08/47.66 thf(c_0_84, plain, (p63|~p65), inference(fof_simplification,[status(thm)],[ax327])).
% 47.08/47.66 thf(c_0_85, plain, (p61|~p63), inference(split_conjunct,[status(thm)],[c_0_81])).
% 47.08/47.66 thf(c_0_86, plain, ~p61, inference(sr,[status(thm)],[c_0_82, c_0_83])).
% 47.08/47.66 thf(c_0_87, plain, (p65|~p67), inference(fof_simplification,[status(thm)],[ax325])).
% 47.08/47.66 thf(c_0_88, plain, (p63|~p65), inference(split_conjunct,[status(thm)],[c_0_84])).
% 47.08/47.66 thf(c_0_89, plain, ~p63, inference(sr,[status(thm)],[c_0_85, c_0_86])).
% 47.08/47.66 thf(c_0_90, plain, (p67|~p69), inference(fof_simplification,[status(thm)],[ax323])).
% 47.08/47.66 thf(c_0_91, plain, (p65|~p67), inference(split_conjunct,[status(thm)],[c_0_87])).
% 47.08/47.66 thf(c_0_92, plain, ~p65, inference(sr,[status(thm)],[c_0_88, c_0_89])).
% 47.08/47.66 thf(c_0_93, plain, (p69|~p71), inference(fof_simplification,[status(thm)],[ax321])).
% 47.08/47.66 thf(c_0_94, plain, (p67|~p69), inference(split_conjunct,[status(thm)],[c_0_90])).
% 47.08/47.66 thf(c_0_95, plain, ~p67, inference(sr,[status(thm)],[c_0_91, c_0_92])).
% 47.08/47.66 thf(c_0_96, plain, (p71|~p73), inference(fof_simplification,[status(thm)],[ax319])).
% 47.08/47.66 thf(c_0_97, plain, (p69|~p71), inference(split_conjunct,[status(thm)],[c_0_93])).
% 47.08/47.66 thf(c_0_98, plain, ~p69, inference(sr,[status(thm)],[c_0_94, c_0_95])).
% 47.08/47.66 thf(c_0_99, plain, (p73|~p75), inference(fof_simplification,[status(thm)],[ax317])).
% 47.08/47.66 thf(c_0_100, plain, (p71|~p73), inference(split_conjunct,[status(thm)],[c_0_96])).
% 47.08/47.66 thf(c_0_101, plain, ~p71, inference(sr,[status(thm)],[c_0_97, c_0_98])).
% 47.08/47.66 thf(c_0_102, plain, (p75|~p77), inference(fof_simplification,[status(thm)],[ax315])).
% 47.08/47.66 thf(c_0_103, plain, (p73|~p75), inference(split_conjunct,[status(thm)],[c_0_99])).
% 47.08/47.66 thf(c_0_104, plain, ~p73, inference(sr,[status(thm)],[c_0_100, c_0_101])).
% 47.08/47.66 thf(c_0_105, plain, (p77|~p79), inference(fof_simplification,[status(thm)],[ax313])).
% 47.08/47.66 thf(c_0_106, plain, (p75|~p77), inference(split_conjunct,[status(thm)],[c_0_102])).
% 47.08/47.66 thf(c_0_107, plain, ~p75, inference(sr,[status(thm)],[c_0_103, c_0_104])).
% 47.08/47.66 thf(c_0_108, plain, (p79|~p81), inference(fof_simplification,[status(thm)],[ax311])).
% 47.08/47.66 thf(c_0_109, plain, (p77|~p79), inference(split_conjunct,[status(thm)],[c_0_105])).
% 47.08/47.66 thf(c_0_110, plain, ~p77, inference(sr,[status(thm)],[c_0_106, c_0_107])).
% 47.08/47.66 thf(c_0_111, plain, (p81|~p83), inference(fof_simplification,[status(thm)],[ax309])).
% 47.08/47.66 thf(c_0_112, plain, (p79|~p81), inference(split_conjunct,[status(thm)],[c_0_108])).
% 47.08/47.66 thf(c_0_113, plain, ~p79, inference(sr,[status(thm)],[c_0_109, c_0_110])).
% 47.08/47.66 thf(c_0_114, plain, (p83|~p85), inference(fof_simplification,[status(thm)],[ax307])).
% 47.08/47.66 thf(c_0_115, plain, (p81|~p83), inference(split_conjunct,[status(thm)],[c_0_111])).
% 47.08/47.66 thf(c_0_116, plain, ~p81, inference(sr,[status(thm)],[c_0_112, c_0_113])).
% 47.08/47.66 thf(c_0_117, plain, (p85|~p87), inference(fof_simplification,[status(thm)],[ax305])).
% 47.08/47.66 thf(c_0_118, plain, (p83|~p85), inference(split_conjunct,[status(thm)],[c_0_114])).
% 47.08/47.66 thf(c_0_119, plain, ~p83, inference(sr,[status(thm)],[c_0_115, c_0_116])).
% 47.08/47.66 thf(c_0_120, plain, (p87|~p89), inference(fof_simplification,[status(thm)],[ax303])).
% 47.08/47.66 thf(c_0_121, plain, (p85|~p87), inference(split_conjunct,[status(thm)],[c_0_117])).
% 47.08/47.66 thf(c_0_122, plain, ~p85, inference(sr,[status(thm)],[c_0_118, c_0_119])).
% 47.08/47.66 thf(c_0_123, plain, (p89|~p91), inference(fof_simplification,[status(thm)],[ax301])).
% 47.08/47.66 thf(c_0_124, plain, (p87|~p89), inference(split_conjunct,[status(thm)],[c_0_120])).
% 47.08/47.66 thf(c_0_125, plain, ~p87, inference(sr,[status(thm)],[c_0_121, c_0_122])).
% 47.08/47.66 thf(c_0_126, plain, (p91|~p93), inference(fof_simplification,[status(thm)],[ax299])).
% 47.08/47.66 thf(c_0_127, plain, (p89|~p91), inference(split_conjunct,[status(thm)],[c_0_123])).
% 47.08/47.66 thf(c_0_128, plain, ~p89, inference(sr,[status(thm)],[c_0_124, c_0_125])).
% 47.08/47.66 thf(c_0_129, plain, (p93|~p95), inference(fof_simplification,[status(thm)],[ax297])).
% 47.08/47.66 thf(c_0_130, plain, (p91|~p93), inference(split_conjunct,[status(thm)],[c_0_126])).
% 47.08/47.66 thf(c_0_131, plain, ~p91, inference(sr,[status(thm)],[c_0_127, c_0_128])).
% 47.08/47.66 thf(c_0_132, plain, (p95|~p97), inference(fof_simplification,[status(thm)],[ax295])).
% 47.08/47.66 thf(c_0_133, plain, (p93|~p95), inference(split_conjunct,[status(thm)],[c_0_129])).
% 47.08/47.66 thf(c_0_134, plain, ~p93, inference(sr,[status(thm)],[c_0_130, c_0_131])).
% 47.08/47.66 thf(c_0_135, plain, (p97|~p99), inference(fof_simplification,[status(thm)],[ax293])).
% 47.08/47.66 thf(c_0_136, plain, (p95|~p97), inference(split_conjunct,[status(thm)],[c_0_132])).
% 47.08/47.66 thf(c_0_137, plain, ~p95, inference(sr,[status(thm)],[c_0_133, c_0_134])).
% 47.08/47.66 thf(c_0_138, plain, (p99|~p101), inference(fof_simplification,[status(thm)],[ax291])).
% 47.08/47.66 thf(c_0_139, plain, (p97|~p99), inference(split_conjunct,[status(thm)],[c_0_135])).
% 47.08/47.66 thf(c_0_140, plain, ~p97, inference(sr,[status(thm)],[c_0_136, c_0_137])).
% 47.08/47.66 thf(c_0_141, plain, (p101|~p103), inference(fof_simplification,[status(thm)],[ax289])).
% 47.08/47.66 thf(c_0_142, plain, (p99|~p101), inference(split_conjunct,[status(thm)],[c_0_138])).
% 47.08/47.66 thf(c_0_143, plain, ~p99, inference(sr,[status(thm)],[c_0_139, c_0_140])).
% 47.08/47.66 thf(c_0_144, plain, (p103|~p105), inference(fof_simplification,[status(thm)],[ax287])).
% 47.08/47.66 thf(c_0_145, plain, (p101|~p103), inference(split_conjunct,[status(thm)],[c_0_141])).
% 47.08/47.66 thf(c_0_146, plain, ~p101, inference(sr,[status(thm)],[c_0_142, c_0_143])).
% 47.08/47.66 thf(c_0_147, plain, (p105|~p107), inference(fof_simplification,[status(thm)],[ax285])).
% 47.08/47.66 thf(c_0_148, plain, (p103|~p105), inference(split_conjunct,[status(thm)],[c_0_144])).
% 47.08/47.66 thf(c_0_149, plain, ~p103, inference(sr,[status(thm)],[c_0_145, c_0_146])).
% 47.08/47.66 thf(c_0_150, plain, (p107|~p109), inference(fof_simplification,[status(thm)],[ax283])).
% 47.08/47.66 thf(c_0_151, plain, (p105|~p107), inference(split_conjunct,[status(thm)],[c_0_147])).
% 47.08/47.66 thf(c_0_152, plain, ~p105, inference(sr,[status(thm)],[c_0_148, c_0_149])).
% 47.08/47.66 thf(c_0_153, plain, (p109|~p111), inference(fof_simplification,[status(thm)],[ax281])).
% 47.08/47.66 thf(c_0_154, plain, (p107|~p109), inference(split_conjunct,[status(thm)],[c_0_150])).
% 47.08/47.66 thf(c_0_155, plain, ~p107, inference(sr,[status(thm)],[c_0_151, c_0_152])).
% 47.08/47.66 thf(c_0_156, plain, (p111|~p113), inference(fof_simplification,[status(thm)],[ax279])).
% 47.08/47.66 thf(c_0_157, plain, (p109|~p111), inference(split_conjunct,[status(thm)],[c_0_153])).
% 47.08/47.66 thf(c_0_158, plain, ~p109, inference(sr,[status(thm)],[c_0_154, c_0_155])).
% 47.08/47.66 thf(c_0_159, plain, (p113|~p115), inference(fof_simplification,[status(thm)],[ax277])).
% 47.08/47.66 thf(c_0_160, plain, (p111|~p113), inference(split_conjunct,[status(thm)],[c_0_156])).
% 47.08/47.66 thf(c_0_161, plain, ~p111, inference(sr,[status(thm)],[c_0_157, c_0_158])).
% 47.08/47.66 thf(c_0_162, plain, (p115|~p117), inference(fof_simplification,[status(thm)],[ax275])).
% 47.08/47.66 thf(c_0_163, plain, (p113|~p115), inference(split_conjunct,[status(thm)],[c_0_159])).
% 47.08/47.66 thf(c_0_164, plain, ~p113, inference(sr,[status(thm)],[c_0_160, c_0_161])).
% 47.08/47.66 thf(c_0_165, plain, (p117|~p119), inference(fof_simplification,[status(thm)],[ax273])).
% 47.08/47.66 thf(c_0_166, plain, (p115|~p117), inference(split_conjunct,[status(thm)],[c_0_162])).
% 47.08/47.66 thf(c_0_167, plain, ~p115, inference(sr,[status(thm)],[c_0_163, c_0_164])).
% 47.08/47.66 thf(c_0_168, plain, (p119|~p121), inference(fof_simplification,[status(thm)],[ax271])).
% 47.08/47.66 thf(c_0_169, plain, (p117|~p119), inference(split_conjunct,[status(thm)],[c_0_165])).
% 47.08/47.66 thf(c_0_170, plain, ~p117, inference(sr,[status(thm)],[c_0_166, c_0_167])).
% 47.08/47.66 thf(c_0_171, plain, (p121|~p122), inference(fof_simplification,[status(thm)],[ax270])).
% 47.08/47.66 thf(c_0_172, plain, (p119|~p121), inference(split_conjunct,[status(thm)],[c_0_168])).
% 47.08/47.66 thf(c_0_173, plain, ~p119, inference(sr,[status(thm)],[c_0_169, c_0_170])).
% 47.08/47.66 thf(c_0_174, plain, (p122|~p123), inference(fof_simplification,[status(thm)],[ax269])).
% 47.08/47.66 thf(c_0_175, plain, (p121|~p122), inference(split_conjunct,[status(thm)],[c_0_171])).
% 47.08/47.66 thf(c_0_176, plain, ~p121, inference(sr,[status(thm)],[c_0_172, c_0_173])).
% 47.08/47.66 thf(c_0_177, plain, (~p7|~p52|p270), inference(fof_simplification,[status(thm)],[ax109])).
% 47.08/47.66 thf(c_0_178, plain, (p51|p52), inference(split_conjunct,[status(thm)],[ax340])).
% 47.08/47.66 thf(c_0_179, plain, (p123|~p125), inference(fof_simplification,[status(thm)],[ax267])).
% 47.08/47.66 thf(c_0_180, plain, (p122|~p123), inference(split_conjunct,[status(thm)],[c_0_174])).
% 47.08/47.66 thf(c_0_181, plain, ~p122, inference(sr,[status(thm)],[c_0_175, c_0_176])).
% 47.08/47.66 thf(c_0_182, plain, (~p270|p278), inference(fof_simplification,[status(thm)],[ax101])).
% 47.08/47.66 thf(c_0_183, plain, (p270|~p7|~p52), inference(split_conjunct,[status(thm)],[c_0_177])).
% 47.08/47.66 thf(c_0_184, plain, p7, inference(split_conjunct,[status(thm)],[ax385])).
% 47.08/47.66 thf(c_0_185, plain, p52, inference(sr,[status(thm)],[c_0_178, c_0_71])).
% 47.08/47.66 thf(c_0_186, plain, (p125|~p126), inference(fof_simplification,[status(thm)],[ax266])).
% 47.08/47.66 thf(c_0_187, plain, (p123|~p125), inference(split_conjunct,[status(thm)],[c_0_179])).
% 47.08/47.66 thf(c_0_188, plain, ~p123, inference(sr,[status(thm)],[c_0_180, c_0_181])).
% 47.08/47.66 thf(c_0_189, plain, (~p284|~p124|~p283), inference(fof_simplification,[status(thm)],[ax29])).
% 47.08/47.66 thf(c_0_190, plain, (p123|p124), inference(split_conjunct,[status(thm)],[ax268])).
% 47.08/47.66 thf(c_0_191, plain, (~p278|p284), inference(fof_simplification,[status(thm)],[ax91])).
% 47.08/47.66 thf(c_0_192, plain, (p278|~p270), inference(split_conjunct,[status(thm)],[c_0_182])).
% 47.08/47.66 thf(c_0_193, plain, p270, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183, c_0_184]), c_0_185])])).
% 47.08/47.66 thf(c_0_194, plain, (p125|~p126), inference(split_conjunct,[status(thm)],[c_0_186])).
% 47.08/47.66 thf(c_0_195, plain, ~p125, inference(sr,[status(thm)],[c_0_187, c_0_188])).
% 47.08/47.66 thf(c_0_196, plain, ![X22:$i]:((~fin @ f__1 @ X22|(~fin @ X22 @ f__0|f__2)|p126)&(~f__2|p126)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax126])])])])])).
% 47.08/47.66 thf(c_0_197, plain, (~p284|~p124|~p283), inference(split_conjunct,[status(thm)],[c_0_189])).
% 47.08/47.66 thf(c_0_198, plain, p124, inference(sr,[status(thm)],[c_0_190, c_0_188])).
% 47.08/47.66 thf(c_0_199, plain, (p284|~p278), inference(split_conjunct,[status(thm)],[c_0_191])).
% 47.08/47.66 thf(c_0_200, plain, p278, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192, c_0_193])])).
% 47.08/47.66 thf(c_0_201, plain, ![X19:$i]:(~p127|(~fin @ f__1 @ X19|(~fin @ X19 @ f__0|f__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax127])])])).
% 47.08/47.66 thf(c_0_202, plain, (p126|p127), inference(split_conjunct,[status(thm)],[ax265])).
% 47.08/47.66 thf(c_0_203, plain, ~p126, inference(sr,[status(thm)],[c_0_194, c_0_195])).
% 47.08/47.66 thf(c_0_204, plain, (p126|~f__2), inference(split_conjunct,[status(thm)],[c_0_196])).
% 47.08/47.66 thf(c_0_205, plain, ((fin @ f__1 @ esk1_0|p283)&(fin @ esk1_0 @ f__0|p283)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax283])])])])])).
% 47.08/47.66 thf(c_0_206, plain, (~p283|~p284), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_198])])).
% 47.08/47.66 thf(c_0_207, plain, p284, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199, c_0_200])])).
% 47.08/47.66 thf(c_0_208, plain, ![X1:$i]:(f__2|~p127|~fin @ f__1 @ X1|~fin @ X1 @ f__0), inference(split_conjunct,[status(thm)],[c_0_201])).
% 47.08/47.66 thf(c_0_209, plain, p127, inference(sr,[status(thm)],[c_0_202, c_0_203])).
% 47.08/47.66 thf(c_0_210, plain, ~f__2, inference(sr,[status(thm)],[c_0_204, c_0_203])).
% 47.08/47.66 thf(c_0_211, plain, (fin @ esk1_0 @ f__0|p283), inference(split_conjunct,[status(thm)],[c_0_205])).
% 47.08/47.66 thf(c_0_212, plain, ~p283, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206, c_0_207])])).
% 47.08/47.66 thf(c_0_213, plain, (fin @ f__1 @ esk1_0|p283), inference(split_conjunct,[status(thm)],[c_0_205])).
% 47.08/47.66 thf(c_0_214, plain, ![X1:$i]:(~fin @ X1 @ f__0|~fin @ f__1 @ X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208, c_0_209])]), c_0_210])).
% 47.08/47.66 thf(c_0_215, plain, fin @ esk1_0 @ f__0, inference(sr,[status(thm)],[c_0_211, c_0_212])).
% 47.08/47.66 thf(c_0_216, plain, fin @ f__1 @ esk1_0, inference(sr,[status(thm)],[c_0_213, c_0_212])).
% 47.08/47.66 thf(c_0_217, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_215]), c_0_216])]), ['proof']).
% 47.08/47.66 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.08/47.66 thf(0,theorem,(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) => (![X3:$o]:((![X4:$i]:(((in @ X2) @ X4) => (((in @ X4) @ X1) => X3))) => X3)))))))))))))))))))))))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.08/47.66 % SZS output end Proof
%------------------------------------------------------------------------------