TSTP Solution File: SEU521^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU521^1 : 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 : n010.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 13:52:45 EDT 2022
% Result : Theorem 47.60s 47.84s
% Output : Proof 47.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU521^1 : TPTP v8.1.0. 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 : n010.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 : 600
% 0.13/0.34 % DateTime : Mon Jun 20 08:25:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 47.60/47.84 % SZS status Theorem
% 47.60/47.84 % Mode: mode371
% 47.60/47.84 % Inferences: 4100
% 47.60/47.84 % SZS output start Proof
% 47.60/47.84 thf(def_exu,definition,(exu = (^[X1:$i>$o]:(~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3)))))))))))).
% 47.60/47.84 thf(def_setextAx,definition,(setextAx = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) = ((in @ X3) @ X2))) => (X1 = X2)))))).
% 47.60/47.84 thf(def_emptysetAx,definition,(emptysetAx = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.60/47.84 thf(def_setadjoinAx,definition,(setadjoinAx = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) = ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 47.60/47.84 thf(def_powersetAx,definition,(powersetAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (powerset @ X1)) = (![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1)))))))).
% 47.60/47.84 thf(def_setunionAx,definition,(setunionAx = (![X1:$i]:(![X2:$i]:(((in @ X2) @ (setunion @ X1)) = (~((![X3:$i]:(((in @ X2) @ X3) => (~(((in @ X3) @ X1)))))))))))).
% 47.60/47.84 thf(def_omega0Ax,definition,(omega0Ax = ((in @ emptyset) @ omega))).
% 47.60/47.84 thf(def_omegaSAx,definition,(omegaSAx = (![X1:$i]:(((in @ X1) @ omega) => ((in @ ((setadjoin @ X1) @ X1)) @ omega))))).
% 47.60/47.84 thf(def_omegaIndAx,definition,(omegaIndAx = (![X1:$i]:((~((((in @ emptyset) @ X1) => (~((![X2:$i]:((~((((in @ X2) @ omega) => (~(((in @ X2) @ X1)))))) => ((in @ ((setadjoin @ X2) @ X2)) @ X1)))))))) => (![X2:$i]:(((in @ X2) @ omega) => ((in @ X2) @ X1))))))).
% 47.60/47.84 thf(def_replAx,definition,(replAx = (![X1:$i>$i>$o]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => (exu @ (X1 @ X3)))) => (~((![X3:$i]:(~((![X4:$i]:(((in @ X4) @ X3) = (~((![X5:$i]:(((in @ X5) @ X2) => (~(((X1 @ X5) @ X4))))))))))))))))))).
% 47.60/47.84 thf(def_foundationAx,definition,(foundationAx = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (~((![X2:$i]:(((in @ X2) @ X1) => (~((![X3:$i]:(((in @ X3) @ X2) => (~(((in @ X3) @ X1))))))))))))))).
% 47.60/47.84 thf(def_wellorderingAx,definition,(wellorderingAx = (![X1:$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)))))))))))))))))))))).
% 47.60/47.84 thf(def_descrp,definition,(descrp = (![X1:$i>$o]:((exu @ X1) => (X1 @ (descr @ X1)))))).
% 47.60/47.84 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 47.60/47.84 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 47.60/47.84 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 47.60/47.84 thf(def_exuE1,definition,(exuE1 = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:((X1 @ X2) => (~((![X3:$i]:((X1 @ X3) => (X2 = X3))))))))))))).
% 47.60/47.84 thf(def_prop2set,definition,(prop2set = (^[X1:$o]:((dsetconstr @ (powerset @ emptyset)) @ (^[X2:$i]:X1))))).
% 47.60/47.84 thf(def_prop2setE,definition,(prop2setE = (![X1:$o]:(![X2:$i]:(((in @ X2) @ (prop2set @ X1)) => X1))))).
% 47.60/47.84 thf(def_emptysetE,definition,(emptysetE = (![X1:$i]:(((in @ X1) @ emptyset) => (![X2:$o]:X2))))).
% 47.60/47.84 thf(def_emptysetimpfalse,definition,(emptysetimpfalse = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.60/47.84 thf(def_notinemptyset,definition,(notinemptyset = (![X1:$i]:(~(((in @ X1) @ emptyset)))))).
% 47.60/47.84 thf(def_exuE3e,definition,(exuE3e = (![X1:$i>$o]:((exu @ X1) => (~((![X2:$i]:(~((X1 @ X2)))))))))).
% 47.60/47.84 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 47.60/47.84 thf(def_emptyI,definition,(emptyI = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 47.60/47.84 thf(def_noeltsimpempty,definition,(noeltsimpempty = (![X1:$i]:((![X2:$i]:(~(((in @ X2) @ X1)))) => (X1 = emptyset))))).
% 47.60/47.84 thf(def_setbeta,definition,(setbeta = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => (((in @ X3) @ ((dsetconstr @ X1) @ X2)) = (X2 @ X3)))))))).
% 47.60/47.84 thf(def_nonempty,definition,(nonempty = (^[X1:$i]:(~((X1 = emptyset)))))).
% 47.60/47.84 thf(def_nonemptyE1,definition,(nonemptyE1 = (![X1:$i]:((nonempty @ X1) => (~((![X2:$i]:(~(((in @ X2) @ X1)))))))))).
% 47.60/47.84 thf(def_nonemptyI,definition,(nonemptyI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => (nonempty @ ((dsetconstr @ X1) @ X2))))))))).
% 47.60/47.84 thf(def_nonemptyI1,definition,(nonemptyI1 = (![X1:$i]:((~((![X2:$i]:(~(((in @ X2) @ X1)))))) => (nonempty @ X1))))).
% 47.60/47.84 thf(def_setadjoinIL,definition,(setadjoinIL = (![X1:$i]:(![X2:$i]:((in @ X1) @ ((setadjoin @ X1) @ X2)))))).
% 47.60/47.84 thf(def_emptyinunitempty,definition,(emptyinunitempty = ((in @ emptyset) @ ((setadjoin @ emptyset) @ emptyset)))).
% 47.60/47.84 thf(def_setadjoinIR,definition,(setadjoinIR = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ ((setadjoin @ X1) @ X2)))))))).
% 47.60/47.84 thf(def_setadjoinE,definition,(setadjoinE = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => (![X4:$o]:(((X3 = X1) => X4) => ((((in @ X3) @ X2) => X4) => X4))))))))).
% 47.60/47.84 thf(def_setadjoinOr,definition,(setadjoinOr = (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X3) @ ((setadjoin @ X1) @ X2)) => ((~((X3 = X1))) => ((in @ X3) @ X2)))))))).
% 47.60/47.84 thf(def_setoftrueEq,definition,(setoftrueEq = (![X1:$i]:(((dsetconstr @ X1) @ (^[X2:$i]:(~($false)))) = X1)))).
% 47.60/47.84 thf(def_powersetI,definition,(powersetI = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => ((in @ X2) @ (powerset @ X1))))))).
% 47.60/47.84 thf(def_emptyinPowerset,definition,(emptyinPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 47.60/47.84 thf(def_emptyInPowerset,definition,(emptyInPowerset = (![X1:$i]:((in @ emptyset) @ (powerset @ X1))))).
% 47.60/47.84 thf(powersetE,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 => (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1)))))))))))))))))))))))))))))))))))))))))))).
% 47.60/47.84 thf(h0,negated_conjecture,(~((setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1))))))))))))))))))))))))))))))))))))))))))))),inference(assume_negation,[status(cth)],[powersetE])).
% 47.60/47.84 thf(ax245, axiom, (p1|~(p43)), file('<stdin>', ax245)).
% 47.60/47.84 thf(ax287, axiom, ~(p1), file('<stdin>', ax287)).
% 47.60/47.84 thf(ax243, axiom, (p43|~(p45)), file('<stdin>', ax243)).
% 47.60/47.84 thf(ax241, axiom, (p45|~(p47)), file('<stdin>', ax241)).
% 47.60/47.84 thf(ax239, axiom, (p47|~(p49)), file('<stdin>', ax239)).
% 47.60/47.84 thf(ax237, axiom, (p49|~(p51)), file('<stdin>', ax237)).
% 47.60/47.84 thf(ax235, axiom, (p51|~(p53)), file('<stdin>', ax235)).
% 47.60/47.84 thf(ax233, axiom, (p53|~(p55)), file('<stdin>', ax233)).
% 47.60/47.84 thf(ax231, axiom, (p55|~(p57)), file('<stdin>', ax231)).
% 47.60/47.84 thf(ax229, axiom, (p57|~(p59)), file('<stdin>', ax229)).
% 47.60/47.84 thf(ax227, axiom, (p59|~(p61)), file('<stdin>', ax227)).
% 47.60/47.84 thf(ax225, axiom, (p61|~(p63)), file('<stdin>', ax225)).
% 47.60/47.84 thf(ax223, axiom, (p63|~(p65)), file('<stdin>', ax223)).
% 47.60/47.84 thf(ax221, axiom, (p65|~(p67)), file('<stdin>', ax221)).
% 47.60/47.84 thf(ax219, axiom, (p67|~(p69)), file('<stdin>', ax219)).
% 47.60/47.84 thf(ax217, axiom, (p69|~(p71)), file('<stdin>', ax217)).
% 47.60/47.84 thf(ax215, axiom, (p71|~(p73)), file('<stdin>', ax215)).
% 47.60/47.84 thf(ax213, axiom, (p73|~(p75)), file('<stdin>', ax213)).
% 47.60/47.84 thf(ax211, axiom, (p75|~(p77)), file('<stdin>', ax211)).
% 47.60/47.84 thf(ax209, axiom, (p77|~(p79)), file('<stdin>', ax209)).
% 47.60/47.84 thf(ax207, axiom, (p79|~(p81)), file('<stdin>', ax207)).
% 47.60/47.84 thf(ax205, axiom, (p81|~(p83)), file('<stdin>', ax205)).
% 47.60/47.84 thf(ax203, axiom, (p83|~(p85)), file('<stdin>', ax203)).
% 47.60/47.84 thf(ax201, axiom, (p85|~(p87)), file('<stdin>', ax201)).
% 47.60/47.84 thf(ax199, axiom, (p87|~(p89)), file('<stdin>', ax199)).
% 47.60/47.84 thf(ax197, axiom, (p89|~(p91)), file('<stdin>', ax197)).
% 47.60/47.84 thf(ax195, axiom, (p91|~(p93)), file('<stdin>', ax195)).
% 47.60/47.84 thf(ax193, axiom, (p93|~(p95)), file('<stdin>', ax193)).
% 47.60/47.84 thf(ax191, axiom, (p95|~(p97)), file('<stdin>', ax191)).
% 47.60/47.84 thf(ax189, axiom, (p97|~(p99)), file('<stdin>', ax189)).
% 47.60/47.84 thf(ax187, axiom, (p99|~(p101)), file('<stdin>', ax187)).
% 47.60/47.84 thf(ax185, axiom, (p101|~(p103)), file('<stdin>', ax185)).
% 47.60/47.84 thf(ax183, axiom, (p103|~(p105)), file('<stdin>', ax183)).
% 47.60/47.84 thf(ax181, axiom, (p105|~(p107)), file('<stdin>', ax181)).
% 47.60/47.84 thf(ax179, axiom, (p107|~(p109)), file('<stdin>', ax179)).
% 47.60/47.84 thf(ax177, axiom, (p109|~(p111)), file('<stdin>', ax177)).
% 47.60/47.84 thf(ax175, axiom, (p111|~(p113)), file('<stdin>', ax175)).
% 47.60/47.84 thf(nax1, axiom, (p1<=(fsetextAx=>(femptysetAx=>(fsetadjoinAx=>(fpowersetAx=>(fsetunionAx=>(fomega0Ax=>(fomegaSAx=>(fomegaIndAx=>(freplAx=>(ffoundationAx=>(fwellorderingAx=>(fdescrp=>(fdsetconstrI=>(fdsetconstrEL=>(fdsetconstrER=>(fexuE1=>(fprop2setE=>(femptysetE=>(femptysetimpfalse=>(fnotinemptyset=>(fexuE3e=>(fsetext=>(femptyI=>(fnoeltsimpempty=>(fsetbeta=>(fnonemptyE1=>(fnonemptyI=>(fnonemptyI1=>(fsetadjoinIL=>(femptyinunitempty=>(fsetadjoinIR=>(fsetadjoinE=>(fsetadjoinOr=>(fsetoftrueEq=>(fpowersetI=>(femptyinPowerset=>(femptyInPowerset=>![X1:$i, X2:$i, X3:$i]:(fin @ X2 @ (fpowerset @ X1)=>(fin @ X3 @ X2=>fin @ X3 @ X1)))))))))))))))))))))))))))))))))))))))), file('<stdin>', nax1)).
% 47.60/47.84 thf(ax173, axiom, (p113|~(p115)), file('<stdin>', ax173)).
% 47.60/47.84 thf(ax172, axiom, (p115|~(p116)), file('<stdin>', ax172)).
% 47.60/47.84 thf(nax48, axiom, (p48<=fpowersetAx), file('<stdin>', nax48)).
% 47.60/47.84 thf(ax9, axiom, (~(p265)|p276), file('<stdin>', ax9)).
% 47.60/47.84 thf(ax171, axiom, (p116|~(p117)), file('<stdin>', ax171)).
% 47.60/47.84 thf(ax22, axiom, (~(p6)|~(p48)|p258), file('<stdin>', ax22)).
% 47.60/47.84 thf(ax8, axiom, (~(p276)|p275), file('<stdin>', ax8)).
% 47.60/47.84 thf(ax21, axiom, p265, file('<stdin>', ax21)).
% 47.60/47.84 thf(ax170, axiom, (p117|~(p118)), file('<stdin>', ax170)).
% 47.60/47.84 thf(ax14, axiom, (~(p258)|p266), file('<stdin>', ax14)).
% 47.60/47.84 thf(ax282, axiom, p6, file('<stdin>', ax282)).
% 47.60/47.84 thf(ax7, axiom, (~(p275)|~(p119)|p274), file('<stdin>', ax7)).
% 47.60/47.84 thf(ax4, axiom, (~(p266)|p272), file('<stdin>', ax4)).
% 47.60/47.84 thf(ax169, axiom, (p118|p119), file('<stdin>', ax169)).
% 47.60/47.84 thf(ax5, axiom, (~(p273)|~(p272)|p271), file('<stdin>', ax5)).
% 47.60/47.84 thf(ax6, axiom, (~(p274)|p273), file('<stdin>', ax6)).
% 47.60/47.84 thf(pax271, axiom, (p271=>![X1:$i]:(fin @ X1 @ f__1=>fin @ X1 @ f__0)), file('<stdin>', pax271)).
% 47.60/47.84 thf(nax118, axiom, (p118<=(fin @ f__1 @ (fpowerset @ f__0)=>(fin @ f__2 @ f__1=>fin @ f__2 @ f__0))), file('<stdin>', nax118)).
% 47.60/47.84 thf(pax121, axiom, (p121=>fin @ f__2 @ f__1), file('<stdin>', pax121)).
% 47.60/47.84 thf(ax168, axiom, (p118|~(p120)), file('<stdin>', ax168)).
% 47.60/47.84 thf(ax167, axiom, (p120|p121), file('<stdin>', ax167)).
% 47.60/47.84 thf(c_0_59, plain, (p1|~p43), inference(fof_simplification,[status(thm)],[ax245])).
% 47.60/47.84 thf(c_0_60, plain, ~p1, inference(fof_simplification,[status(thm)],[ax287])).
% 47.60/47.84 thf(c_0_61, plain, (p43|~p45), inference(fof_simplification,[status(thm)],[ax243])).
% 47.60/47.84 thf(c_0_62, plain, (p1|~p43), inference(split_conjunct,[status(thm)],[c_0_59])).
% 47.60/47.84 thf(c_0_63, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_60])).
% 47.60/47.84 thf(c_0_64, plain, (p45|~p47), inference(fof_simplification,[status(thm)],[ax241])).
% 47.60/47.84 thf(c_0_65, plain, (p43|~p45), inference(split_conjunct,[status(thm)],[c_0_61])).
% 47.60/47.84 thf(c_0_66, plain, ~p43, inference(sr,[status(thm)],[c_0_62, c_0_63])).
% 47.60/47.84 thf(c_0_67, plain, (p47|~p49), inference(fof_simplification,[status(thm)],[ax239])).
% 47.60/47.84 thf(c_0_68, plain, (p45|~p47), inference(split_conjunct,[status(thm)],[c_0_64])).
% 47.60/47.84 thf(c_0_69, plain, ~p45, inference(sr,[status(thm)],[c_0_65, c_0_66])).
% 47.60/47.84 thf(c_0_70, plain, (p49|~p51), inference(fof_simplification,[status(thm)],[ax237])).
% 47.60/47.84 thf(c_0_71, plain, (p47|~p49), inference(split_conjunct,[status(thm)],[c_0_67])).
% 47.60/47.84 thf(c_0_72, plain, ~p47, inference(sr,[status(thm)],[c_0_68, c_0_69])).
% 47.60/47.84 thf(c_0_73, plain, (p51|~p53), inference(fof_simplification,[status(thm)],[ax235])).
% 47.60/47.84 thf(c_0_74, plain, (p49|~p51), inference(split_conjunct,[status(thm)],[c_0_70])).
% 47.60/47.84 thf(c_0_75, plain, ~p49, inference(sr,[status(thm)],[c_0_71, c_0_72])).
% 47.60/47.84 thf(c_0_76, plain, (p53|~p55), inference(fof_simplification,[status(thm)],[ax233])).
% 47.60/47.84 thf(c_0_77, plain, (p51|~p53), inference(split_conjunct,[status(thm)],[c_0_73])).
% 47.60/47.84 thf(c_0_78, plain, ~p51, inference(sr,[status(thm)],[c_0_74, c_0_75])).
% 47.60/47.84 thf(c_0_79, plain, (p55|~p57), inference(fof_simplification,[status(thm)],[ax231])).
% 47.60/47.84 thf(c_0_80, plain, (p53|~p55), inference(split_conjunct,[status(thm)],[c_0_76])).
% 47.60/47.84 thf(c_0_81, plain, ~p53, inference(sr,[status(thm)],[c_0_77, c_0_78])).
% 47.60/47.84 thf(c_0_82, plain, (p57|~p59), inference(fof_simplification,[status(thm)],[ax229])).
% 47.60/47.84 thf(c_0_83, plain, (p55|~p57), inference(split_conjunct,[status(thm)],[c_0_79])).
% 47.60/47.84 thf(c_0_84, plain, ~p55, inference(sr,[status(thm)],[c_0_80, c_0_81])).
% 47.60/47.84 thf(c_0_85, plain, (p59|~p61), inference(fof_simplification,[status(thm)],[ax227])).
% 47.60/47.84 thf(c_0_86, plain, (p57|~p59), inference(split_conjunct,[status(thm)],[c_0_82])).
% 47.60/47.84 thf(c_0_87, plain, ~p57, inference(sr,[status(thm)],[c_0_83, c_0_84])).
% 47.60/47.84 thf(c_0_88, plain, (p61|~p63), inference(fof_simplification,[status(thm)],[ax225])).
% 47.60/47.84 thf(c_0_89, plain, (p59|~p61), inference(split_conjunct,[status(thm)],[c_0_85])).
% 47.60/47.84 thf(c_0_90, plain, ~p59, inference(sr,[status(thm)],[c_0_86, c_0_87])).
% 47.60/47.84 thf(c_0_91, plain, (p63|~p65), inference(fof_simplification,[status(thm)],[ax223])).
% 47.60/47.84 thf(c_0_92, plain, (p61|~p63), inference(split_conjunct,[status(thm)],[c_0_88])).
% 47.60/47.84 thf(c_0_93, plain, ~p61, inference(sr,[status(thm)],[c_0_89, c_0_90])).
% 47.60/47.84 thf(c_0_94, plain, (p65|~p67), inference(fof_simplification,[status(thm)],[ax221])).
% 47.60/47.84 thf(c_0_95, plain, (p63|~p65), inference(split_conjunct,[status(thm)],[c_0_91])).
% 47.60/47.84 thf(c_0_96, plain, ~p63, inference(sr,[status(thm)],[c_0_92, c_0_93])).
% 47.60/47.84 thf(c_0_97, plain, (p67|~p69), inference(fof_simplification,[status(thm)],[ax219])).
% 47.60/47.84 thf(c_0_98, plain, (p65|~p67), inference(split_conjunct,[status(thm)],[c_0_94])).
% 47.60/47.84 thf(c_0_99, plain, ~p65, inference(sr,[status(thm)],[c_0_95, c_0_96])).
% 47.60/47.84 thf(c_0_100, plain, (p69|~p71), inference(fof_simplification,[status(thm)],[ax217])).
% 47.60/47.84 thf(c_0_101, plain, (p67|~p69), inference(split_conjunct,[status(thm)],[c_0_97])).
% 47.60/47.84 thf(c_0_102, plain, ~p67, inference(sr,[status(thm)],[c_0_98, c_0_99])).
% 47.60/47.84 thf(c_0_103, plain, (p71|~p73), inference(fof_simplification,[status(thm)],[ax215])).
% 47.60/47.84 thf(c_0_104, plain, (p69|~p71), inference(split_conjunct,[status(thm)],[c_0_100])).
% 47.60/47.84 thf(c_0_105, plain, ~p69, inference(sr,[status(thm)],[c_0_101, c_0_102])).
% 47.60/47.84 thf(c_0_106, plain, (p73|~p75), inference(fof_simplification,[status(thm)],[ax213])).
% 47.60/47.84 thf(c_0_107, plain, (p71|~p73), inference(split_conjunct,[status(thm)],[c_0_103])).
% 47.60/47.84 thf(c_0_108, plain, ~p71, inference(sr,[status(thm)],[c_0_104, c_0_105])).
% 47.60/47.84 thf(c_0_109, plain, (p75|~p77), inference(fof_simplification,[status(thm)],[ax211])).
% 47.60/47.84 thf(c_0_110, plain, (p73|~p75), inference(split_conjunct,[status(thm)],[c_0_106])).
% 47.60/47.84 thf(c_0_111, plain, ~p73, inference(sr,[status(thm)],[c_0_107, c_0_108])).
% 47.60/47.84 thf(c_0_112, plain, (p77|~p79), inference(fof_simplification,[status(thm)],[ax209])).
% 47.60/47.84 thf(c_0_113, plain, (p75|~p77), inference(split_conjunct,[status(thm)],[c_0_109])).
% 47.60/47.84 thf(c_0_114, plain, ~p75, inference(sr,[status(thm)],[c_0_110, c_0_111])).
% 47.60/47.84 thf(c_0_115, plain, (p79|~p81), inference(fof_simplification,[status(thm)],[ax207])).
% 47.60/47.84 thf(c_0_116, plain, (p77|~p79), inference(split_conjunct,[status(thm)],[c_0_112])).
% 47.60/47.84 thf(c_0_117, plain, ~p77, inference(sr,[status(thm)],[c_0_113, c_0_114])).
% 47.60/47.84 thf(c_0_118, plain, (p81|~p83), inference(fof_simplification,[status(thm)],[ax205])).
% 47.60/47.84 thf(c_0_119, plain, (p79|~p81), inference(split_conjunct,[status(thm)],[c_0_115])).
% 47.60/47.84 thf(c_0_120, plain, ~p79, inference(sr,[status(thm)],[c_0_116, c_0_117])).
% 47.60/47.84 thf(c_0_121, plain, (p83|~p85), inference(fof_simplification,[status(thm)],[ax203])).
% 47.60/47.84 thf(c_0_122, plain, (p81|~p83), inference(split_conjunct,[status(thm)],[c_0_118])).
% 47.60/47.84 thf(c_0_123, plain, ~p81, inference(sr,[status(thm)],[c_0_119, c_0_120])).
% 47.60/47.84 thf(c_0_124, plain, (p85|~p87), inference(fof_simplification,[status(thm)],[ax201])).
% 47.60/47.84 thf(c_0_125, plain, (p83|~p85), inference(split_conjunct,[status(thm)],[c_0_121])).
% 47.60/47.84 thf(c_0_126, plain, ~p83, inference(sr,[status(thm)],[c_0_122, c_0_123])).
% 47.60/47.84 thf(c_0_127, plain, (p87|~p89), inference(fof_simplification,[status(thm)],[ax199])).
% 47.60/47.84 thf(c_0_128, plain, (p85|~p87), inference(split_conjunct,[status(thm)],[c_0_124])).
% 47.60/47.84 thf(c_0_129, plain, ~p85, inference(sr,[status(thm)],[c_0_125, c_0_126])).
% 47.60/47.84 thf(c_0_130, plain, (p89|~p91), inference(fof_simplification,[status(thm)],[ax197])).
% 47.60/47.84 thf(c_0_131, plain, (p87|~p89), inference(split_conjunct,[status(thm)],[c_0_127])).
% 47.60/47.84 thf(c_0_132, plain, ~p87, inference(sr,[status(thm)],[c_0_128, c_0_129])).
% 47.60/47.84 thf(c_0_133, plain, (p91|~p93), inference(fof_simplification,[status(thm)],[ax195])).
% 47.60/47.84 thf(c_0_134, plain, (p89|~p91), inference(split_conjunct,[status(thm)],[c_0_130])).
% 47.60/47.84 thf(c_0_135, plain, ~p89, inference(sr,[status(thm)],[c_0_131, c_0_132])).
% 47.60/47.84 thf(c_0_136, plain, (p93|~p95), inference(fof_simplification,[status(thm)],[ax193])).
% 47.60/47.84 thf(c_0_137, plain, (p91|~p93), inference(split_conjunct,[status(thm)],[c_0_133])).
% 47.60/47.84 thf(c_0_138, plain, ~p91, inference(sr,[status(thm)],[c_0_134, c_0_135])).
% 47.60/47.84 thf(c_0_139, plain, (p95|~p97), inference(fof_simplification,[status(thm)],[ax191])).
% 47.60/47.84 thf(c_0_140, plain, (p93|~p95), inference(split_conjunct,[status(thm)],[c_0_136])).
% 47.60/47.84 thf(c_0_141, plain, ~p93, inference(sr,[status(thm)],[c_0_137, c_0_138])).
% 47.60/47.84 thf(c_0_142, plain, (p97|~p99), inference(fof_simplification,[status(thm)],[ax189])).
% 47.60/47.84 thf(c_0_143, plain, (p95|~p97), inference(split_conjunct,[status(thm)],[c_0_139])).
% 47.60/47.84 thf(c_0_144, plain, ~p95, inference(sr,[status(thm)],[c_0_140, c_0_141])).
% 47.60/47.84 thf(c_0_145, plain, (p99|~p101), inference(fof_simplification,[status(thm)],[ax187])).
% 47.60/47.84 thf(c_0_146, plain, (p97|~p99), inference(split_conjunct,[status(thm)],[c_0_142])).
% 47.60/47.84 thf(c_0_147, plain, ~p97, inference(sr,[status(thm)],[c_0_143, c_0_144])).
% 47.60/47.84 thf(c_0_148, plain, (p101|~p103), inference(fof_simplification,[status(thm)],[ax185])).
% 47.60/47.84 thf(c_0_149, plain, (p99|~p101), inference(split_conjunct,[status(thm)],[c_0_145])).
% 47.60/47.84 thf(c_0_150, plain, ~p99, inference(sr,[status(thm)],[c_0_146, c_0_147])).
% 47.60/47.84 thf(c_0_151, plain, (p103|~p105), inference(fof_simplification,[status(thm)],[ax183])).
% 47.60/47.84 thf(c_0_152, plain, (p101|~p103), inference(split_conjunct,[status(thm)],[c_0_148])).
% 47.60/47.84 thf(c_0_153, plain, ~p101, inference(sr,[status(thm)],[c_0_149, c_0_150])).
% 47.60/47.84 thf(c_0_154, plain, (p105|~p107), inference(fof_simplification,[status(thm)],[ax181])).
% 47.60/47.84 thf(c_0_155, plain, (p103|~p105), inference(split_conjunct,[status(thm)],[c_0_151])).
% 47.60/47.84 thf(c_0_156, plain, ~p103, inference(sr,[status(thm)],[c_0_152, c_0_153])).
% 47.60/47.84 thf(c_0_157, plain, (p107|~p109), inference(fof_simplification,[status(thm)],[ax179])).
% 47.60/47.84 thf(c_0_158, plain, (p105|~p107), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.60/47.84 thf(c_0_159, plain, ~p105, inference(sr,[status(thm)],[c_0_155, c_0_156])).
% 47.60/47.84 thf(c_0_160, plain, (p109|~p111), inference(fof_simplification,[status(thm)],[ax177])).
% 47.60/47.84 thf(c_0_161, plain, (p107|~p109), inference(split_conjunct,[status(thm)],[c_0_157])).
% 47.60/47.84 thf(c_0_162, plain, ~p107, inference(sr,[status(thm)],[c_0_158, c_0_159])).
% 47.60/47.84 thf(c_0_163, plain, (epred1_0<=>(fexuE1=>(fprop2setE=>(femptysetE=>(femptysetimpfalse=>(fnotinemptyset=>(fexuE3e=>(fsetext=>(femptyI=>(fnoeltsimpempty=>(fsetbeta=>(fnonemptyE1=>(fnonemptyI=>(fnonemptyI1=>(fsetadjoinIL=>(femptyinunitempty=>(fsetadjoinIR=>(fsetadjoinE=>(fsetadjoinOr=>(fsetoftrueEq=>(fpowersetI=>(femptyinPowerset=>(femptyInPowerset=>![X1:$i, X2:$i, X3:$i]:(fin @ X2 @ (fpowerset @ X1)=>(fin @ X3 @ X2=>fin @ X3 @ X1))))))))))))))))))))))))), introduced(definition)).
% 47.60/47.84 thf(c_0_164, plain, (p111|~p113), inference(fof_simplification,[status(thm)],[ax175])).
% 47.60/47.84 thf(c_0_165, plain, (p109|~p111), inference(split_conjunct,[status(thm)],[c_0_160])).
% 47.60/47.84 thf(c_0_166, plain, ~p109, inference(sr,[status(thm)],[c_0_161, c_0_162])).
% 47.60/47.84 thf(c_0_167, axiom, (p1<=(fsetextAx=>(femptysetAx=>(fsetadjoinAx=>(fpowersetAx=>(fsetunionAx=>(fomega0Ax=>(fomegaSAx=>(fomegaIndAx=>(freplAx=>(ffoundationAx=>(fwellorderingAx=>(fdescrp=>(fdsetconstrI=>(fdsetconstrEL=>(fdsetconstrER=>epred1_0)))))))))))))))), inference(apply_def,[status(thm)],[nax1, c_0_163])).
% 47.60/47.84 thf(c_0_168, plain, (p113|~p115), inference(fof_simplification,[status(thm)],[ax173])).
% 47.60/47.84 thf(c_0_169, plain, (p111|~p113), inference(split_conjunct,[status(thm)],[c_0_164])).
% 47.60/47.84 thf(c_0_170, plain, ~p111, inference(sr,[status(thm)],[c_0_165, c_0_166])).
% 47.60/47.84 thf(c_0_171, plain, ((fsetextAx|p1)&((femptysetAx|p1)&((fsetadjoinAx|p1)&((fpowersetAx|p1)&((fsetunionAx|p1)&((fomega0Ax|p1)&((fomegaSAx|p1)&((fomegaIndAx|p1)&((freplAx|p1)&((ffoundationAx|p1)&((fwellorderingAx|p1)&((fdescrp|p1)&((fdsetconstrI|p1)&((fdsetconstrEL|p1)&((fdsetconstrER|p1)&(~epred1_0|p1)))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_167])])])).
% 47.60/47.84 thf(c_0_172, plain, (p115|~p116), inference(fof_simplification,[status(thm)],[ax172])).
% 47.60/47.84 thf(c_0_173, plain, (p113|~p115), inference(split_conjunct,[status(thm)],[c_0_168])).
% 47.60/47.84 thf(c_0_174, plain, ~p113, inference(sr,[status(thm)],[c_0_169, c_0_170])).
% 47.60/47.84 thf(c_0_175, plain, (~fpowersetAx|p48), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax48])])).
% 47.60/47.84 thf(c_0_176, plain, (fpowersetAx|p1), inference(split_conjunct,[status(thm)],[c_0_171])).
% 47.60/47.84 thf(c_0_177, plain, (~p265|p276), inference(fof_simplification,[status(thm)],[ax9])).
% 47.60/47.84 thf(c_0_178, plain, (p116|~p117), inference(fof_simplification,[status(thm)],[ax171])).
% 47.60/47.84 thf(c_0_179, plain, (p115|~p116), inference(split_conjunct,[status(thm)],[c_0_172])).
% 47.60/47.84 thf(c_0_180, plain, ~p115, inference(sr,[status(thm)],[c_0_173, c_0_174])).
% 47.60/47.84 thf(c_0_181, plain, (~p6|~p48|p258), inference(fof_simplification,[status(thm)],[ax22])).
% 47.60/47.84 thf(c_0_182, plain, (p48|~fpowersetAx), inference(split_conjunct,[status(thm)],[c_0_175])).
% 47.60/47.84 thf(c_0_183, plain, fpowersetAx, inference(sr,[status(thm)],[c_0_176, c_0_63])).
% 47.60/47.84 thf(c_0_184, plain, (~p276|p275), inference(fof_simplification,[status(thm)],[ax8])).
% 47.60/47.84 thf(c_0_185, plain, (p276|~p265), inference(split_conjunct,[status(thm)],[c_0_177])).
% 47.60/47.84 thf(c_0_186, plain, p265, inference(split_conjunct,[status(thm)],[ax21])).
% 47.60/47.84 thf(c_0_187, plain, (p117|~p118), inference(fof_simplification,[status(thm)],[ax170])).
% 47.60/47.84 thf(c_0_188, plain, (p116|~p117), inference(split_conjunct,[status(thm)],[c_0_178])).
% 47.60/47.84 thf(c_0_189, plain, ~p116, inference(sr,[status(thm)],[c_0_179, c_0_180])).
% 47.60/47.84 thf(c_0_190, plain, (~p258|p266), inference(fof_simplification,[status(thm)],[ax14])).
% 47.60/47.84 thf(c_0_191, plain, (p258|~p6|~p48), inference(split_conjunct,[status(thm)],[c_0_181])).
% 47.60/47.84 thf(c_0_192, plain, p6, inference(split_conjunct,[status(thm)],[ax282])).
% 47.60/47.84 thf(c_0_193, plain, p48, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182, c_0_183])])).
% 47.60/47.84 thf(c_0_194, plain, (~p275|~p119|p274), inference(fof_simplification,[status(thm)],[ax7])).
% 47.60/47.84 thf(c_0_195, plain, (p275|~p276), inference(split_conjunct,[status(thm)],[c_0_184])).
% 47.60/47.84 thf(c_0_196, plain, p276, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185, c_0_186])])).
% 47.60/47.84 thf(c_0_197, plain, (p117|~p118), inference(split_conjunct,[status(thm)],[c_0_187])).
% 47.60/47.84 thf(c_0_198, plain, ~p117, inference(sr,[status(thm)],[c_0_188, c_0_189])).
% 47.60/47.84 thf(c_0_199, plain, (~p266|p272), inference(fof_simplification,[status(thm)],[ax4])).
% 47.60/47.84 thf(c_0_200, plain, (p266|~p258), inference(split_conjunct,[status(thm)],[c_0_190])).
% 47.60/47.84 thf(c_0_201, plain, p258, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191, c_0_192]), c_0_193])])).
% 47.60/47.84 thf(c_0_202, plain, (p274|~p275|~p119), inference(split_conjunct,[status(thm)],[c_0_194])).
% 47.60/47.84 thf(c_0_203, plain, p275, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195, c_0_196])])).
% 47.60/47.84 thf(c_0_204, plain, (p118|p119), inference(split_conjunct,[status(thm)],[ax169])).
% 47.60/47.84 thf(c_0_205, plain, ~p118, inference(sr,[status(thm)],[c_0_197, c_0_198])).
% 47.60/47.84 thf(c_0_206, plain, (~p273|~p272|p271), inference(fof_simplification,[status(thm)],[ax5])).
% 47.60/47.84 thf(c_0_207, plain, (p272|~p266), inference(split_conjunct,[status(thm)],[c_0_199])).
% 47.60/47.84 thf(c_0_208, plain, p266, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200, c_0_201])])).
% 47.60/47.84 thf(c_0_209, plain, (~p274|p273), inference(fof_simplification,[status(thm)],[ax6])).
% 47.60/47.84 thf(c_0_210, plain, (p274|~p119), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202, c_0_203])])).
% 47.60/47.84 thf(c_0_211, plain, p119, inference(sr,[status(thm)],[c_0_204, c_0_205])).
% 47.60/47.84 thf(c_0_212, plain, (p271|~p273|~p272), inference(split_conjunct,[status(thm)],[c_0_206])).
% 47.60/47.84 thf(c_0_213, plain, p272, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207, c_0_208])])).
% 47.60/47.84 thf(c_0_214, plain, (p273|~p274), inference(split_conjunct,[status(thm)],[c_0_209])).
% 47.60/47.84 thf(c_0_215, plain, p274, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210, c_0_211])])).
% 47.60/47.84 thf(c_0_216, plain, ![X10:$i]:(~p271|(~fin @ X10 @ f__1|fin @ X10 @ f__0)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax271])])])).
% 47.60/47.84 thf(c_0_217, plain, (p271|~p273), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212, c_0_213])])).
% 47.60/47.84 thf(c_0_218, plain, p273, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214, c_0_215])])).
% 47.60/47.84 thf(c_0_219, plain, ((fin @ f__1 @ (fpowerset @ f__0)|p118)&((fin @ f__2 @ f__1|p118)&(~fin @ f__2 @ f__0|p118))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax118])])])).
% 47.60/47.84 thf(c_0_220, plain, ![X1:$i]:(fin @ X1 @ f__0|~p271|~fin @ X1 @ f__1), inference(split_conjunct,[status(thm)],[c_0_216])).
% 47.60/47.84 thf(c_0_221, plain, p271, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217, c_0_218])])).
% 47.60/47.84 thf(c_0_222, plain, (~p121|fin @ f__2 @ f__1), inference(fof_nnf,[status(thm)],[pax121])).
% 47.60/47.84 thf(c_0_223, plain, (p118|~fin @ f__2 @ f__0), inference(split_conjunct,[status(thm)],[c_0_219])).
% 47.60/47.84 thf(c_0_224, plain, ![X1:$i]:(fin @ X1 @ f__0|~fin @ X1 @ f__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220, c_0_221])])).
% 47.60/47.84 thf(c_0_225, plain, (fin @ f__2 @ f__1|~p121), inference(split_conjunct,[status(thm)],[c_0_222])).
% 47.60/47.84 thf(c_0_226, plain, ~fin @ f__2 @ f__0, inference(sr,[status(thm)],[c_0_223, c_0_205])).
% 47.60/47.84 thf(c_0_227, plain, (p118|~p120), inference(fof_simplification,[status(thm)],[ax168])).
% 47.60/47.84 thf(c_0_228, plain, (p120|p121), inference(split_conjunct,[status(thm)],[ax167])).
% 47.60/47.84 thf(c_0_229, plain, ~p121, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_225]), c_0_226])).
% 47.60/47.84 thf(c_0_230, plain, (p118|~p120), inference(split_conjunct,[status(thm)],[c_0_227])).
% 47.60/47.84 thf(c_0_231, plain, p120, inference(sr,[status(thm)],[c_0_228, c_0_229])).
% 47.60/47.84 thf(c_0_232, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230, c_0_231])]), c_0_205]), ['proof']).
% 47.60/47.84 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.60/47.84 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 => (![X1:$i]:(![X2:$i]:(![X3:$i]:(((in @ X2) @ (powerset @ X1)) => (((in @ X3) @ X2) => ((in @ X3) @ X1))))))))))))))))))))))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.60/47.84 % SZS output end Proof
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