TSTP Solution File: SEU639^2 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU639^2 : 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 : n007.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 13:54:54 EDT 2022
% Result : Theorem 215.33s 215.49s
% Output : Proof 215.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU639^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n007.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 : Sun Jun 19 10:41:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 215.33/215.49 % SZS status Theorem
% 215.33/215.49 % Mode: mode447
% 215.33/215.49 % Inferences: 123
% 215.33/215.49 % SZS output start Proof
% 215.33/215.49 thf(ty_eigen__2, type, eigen__2 : $i).
% 215.33/215.49 thf(ty_eigen__1, type, eigen__1 : ($i>$o)).
% 215.33/215.49 thf(ty_eigen__0, type, eigen__0 : $i).
% 215.33/215.49 thf(ty_emptyset, type, emptyset : $i).
% 215.33/215.49 thf(ty_dsetconstr, type, dsetconstr : ($i>($i>$o)>$i)).
% 215.33/215.49 thf(ty_in, type, in : ($i>$i>$o)).
% 215.33/215.49 thf(ty_setadjoin, type, setadjoin : ($i>$i>$i)).
% 215.33/215.49 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 215.33/215.49 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 215.33/215.49 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 215.33/215.49 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 215.33/215.49 thf(def_uniqinunit,definition,(uniqinunit = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 215.33/215.49 thf(def_eqinunit,definition,(eqinunit = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.33/215.49 thf(def_singleton,definition,(singleton = (^[X1:$i]:(~((![X2:$i]:(((in @ X2) @ X1) => (~((X1 = ((setadjoin @ X2) @ emptyset))))))))))).
% 215.33/215.49 thf(def_ex1,definition,(ex1 = (^[X1:$i]:(^[X2:$i>$o]:(singleton @ ((dsetconstr @ X1) @ X2)))))).
% 215.33/215.49 thf(ex1I,conjecture,((![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:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset))))))))))))))))))))).
% 215.33/215.49 thf(h0,negated_conjecture,(~(((![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:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset)))))))))))))))))))))),inference(assume_negation,[status(cth)],[ex1I])).
% 215.33/215.49 thf(h1,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h2,assumption,(~(((![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:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset))))))))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h3,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))),introduced(assumption,[])).
% 215.33/215.49 thf(h4,assumption,(~(((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))) => ((![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 @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset)))))))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h5,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))),introduced(assumption,[])).
% 215.33/215.49 thf(h6,assumption,(~(((![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 @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset))))))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h7,assumption,(![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))),introduced(assumption,[])).
% 215.33/215.49 thf(h8,assumption,(~(((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset)))))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h9,assumption,(![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))),introduced(assumption,[])).
% 215.33/215.49 thf(h10,assumption,(~(((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset))))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h11,assumption,(![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))),introduced(assumption,[])).
% 215.33/215.49 thf(h12,assumption,(~((![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset)))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h13,assumption,(~((![X1:$i>$o]:(![X2:$i]:(((in @ X2) @ eigen__0) => ((X1 @ X2) => ((![X3:$i]:(((in @ X3) @ eigen__0) => ((X1 @ X3) => (X3 = X2)))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ eigen__0) @ X1)) => (~((((dsetconstr @ eigen__0) @ X1) = ((setadjoin @ X3) @ emptyset))))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h14,assumption,(~((![X1:$i]:(((in @ X1) @ eigen__0) => ((eigen__1 @ X1) => ((![X2:$i]:(((in @ X2) @ eigen__0) => ((eigen__1 @ X2) => (X2 = X1)))) => (~((![X2:$i]:(((in @ X2) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X2) @ emptyset)))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h15,assumption,(~((((in @ eigen__2) @ eigen__0) => ((eigen__1 @ eigen__2) => ((![X1:$i]:(((in @ X1) @ eigen__0) => ((eigen__1 @ X1) => (X1 = eigen__2)))) => (~((![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset))))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h16,assumption,((in @ eigen__2) @ eigen__0),introduced(assumption,[])).
% 215.33/215.49 thf(h17,assumption,(~(((eigen__1 @ eigen__2) => ((![X1:$i]:(((in @ X1) @ eigen__0) => ((eigen__1 @ X1) => (X1 = eigen__2)))) => (~((![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset)))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h18,assumption,(eigen__1 @ eigen__2),introduced(assumption,[])).
% 215.33/215.49 thf(h19,assumption,(~(((![X1:$i]:(((in @ X1) @ eigen__0) => ((eigen__1 @ X1) => (X1 = eigen__2)))) => (~((![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset))))))))))),introduced(assumption,[])).
% 215.33/215.49 thf(h20,assumption,(![X1:$i]:(((in @ X1) @ eigen__0) => ((eigen__1 @ X1) => (X1 = eigen__2)))),introduced(assumption,[])).
% 215.33/215.49 thf(h21,assumption,(![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset)))))),introduced(assumption,[])).
% 215.33/215.49 thf(ax190, axiom, (~(p10)|p44), file('<stdin>', ax190)).
% 215.33/215.49 thf(ax172, axiom, (~(p44)|p61), file('<stdin>', ax172)).
% 215.33/215.49 thf(ax224, axiom, p10, file('<stdin>', ax224)).
% 215.33/215.49 thf(ax173, axiom, (~(p61)|p60), file('<stdin>', ax173)).
% 215.33/215.49 thf(ax220, axiom, (~(p1)|p14), file('<stdin>', ax220)).
% 215.33/215.49 thf(ax175, axiom, (~(p59)|~(p3)|p57), file('<stdin>', ax175)).
% 215.33/215.49 thf(ax174, axiom, (~(p60)|~(p4)|p59), file('<stdin>', ax174)).
% 215.33/215.49 thf(ax176, axiom, (~(p14)|~(p57)|~(p58)), file('<stdin>', ax176)).
% 215.33/215.49 thf(ax233, axiom, p1, file('<stdin>', ax233)).
% 215.33/215.49 thf(ax231, axiom, p3, file('<stdin>', ax231)).
% 215.33/215.49 thf(ax230, axiom, p4, file('<stdin>', ax230)).
% 215.33/215.49 thf(ax212, axiom, (~(p7)|p22), file('<stdin>', ax212)).
% 215.33/215.49 thf(ax169, axiom, (~(p22)|p65), file('<stdin>', ax169)).
% 215.33/215.49 thf(ax227, axiom, p7, file('<stdin>', ax227)).
% 215.33/215.49 thf(ax171, axiom, (~(p64)|~(p62)|p58), file('<stdin>', ax171)).
% 215.33/215.49 thf(ax170, axiom, (~(p65)|~(p63)|p64), file('<stdin>', ax170)).
% 215.33/215.49 thf(ax137, axiom, (~(p6)|p95), file('<stdin>', ax137)).
% 215.33/215.49 thf(ax156, axiom, (p63|~(p76)), file('<stdin>', ax156)).
% 215.33/215.49 thf(ax138, axiom, (~(p95)|p94), file('<stdin>', ax138)).
% 215.33/215.49 thf(ax228, axiom, p6, file('<stdin>', ax228)).
% 215.33/215.49 thf(ax157, axiom, (p62|~(p75)), file('<stdin>', ax157)).
% 215.33/215.49 thf(ax113, axiom, (~(p5)|p120), file('<stdin>', ax113)).
% 215.33/215.49 thf(ax139, axiom, (~(p94)|~(p86)|p93), file('<stdin>', ax139)).
% 215.33/215.49 thf(ax142, axiom, (p76|~(p89)), file('<stdin>', ax142)).
% 215.33/215.49 thf(ax110, axiom, (~(p120)|p123), file('<stdin>', ax110)).
% 215.33/215.49 thf(ax229, axiom, p5, file('<stdin>', ax229)).
% 215.33/215.49 thf(pax93, axiom, (p93=>(f__3)=(f__2)), file('<stdin>', pax93)).
% 215.33/215.49 thf(ax111, axiom, (~(p123)|~(p122)|p89), file('<stdin>', ax111)).
% 215.33/215.49 thf(ax127, axiom, (~(p61)|p106), file('<stdin>', ax127)).
% 215.33/215.49 thf(ax145, axiom, (p75|p86), file('<stdin>', ax145)).
% 215.33/215.49 thf(nax122, axiom, (p122<=(f__4)=(f__2)), file('<stdin>', nax122)).
% 215.33/215.49 thf(ax128, axiom, (~(p106)|~(p104)|p105), file('<stdin>', ax128)).
% 215.33/215.49 thf(pax3, axiom, (p3=>f__1 @ f__2), file('<stdin>', pax3)).
% 215.33/215.49 thf(pax4, axiom, (p4=>fin @ f__2 @ f__0), file('<stdin>', pax4)).
% 215.33/215.49 thf(ax129, axiom, (~(p105)|~(p103)|p87), file('<stdin>', ax129)).
% 215.33/215.49 thf(nax103, axiom, (p103<=f__1 @ f__3), file('<stdin>', nax103)).
% 215.33/215.49 thf(nax104, axiom, (p104<=fin @ f__3 @ f__0), file('<stdin>', nax104)).
% 215.33/215.49 thf(ax205, axiom, (~(p8)|p29), file('<stdin>', ax205)).
% 215.33/215.49 thf(ax194, axiom, (~(p9)|p40), file('<stdin>', ax194)).
% 215.33/215.49 thf(ax112, axiom, (~(p2)|p121), file('<stdin>', ax112)).
% 215.33/215.49 thf(ax144, axiom, (p75|~(p87)), file('<stdin>', ax144)).
% 215.33/215.49 thf(ax121, axiom, (~(p29)|p112), file('<stdin>', ax121)).
% 215.33/215.49 thf(ax226, axiom, p8, file('<stdin>', ax226)).
% 215.33/215.49 thf(ax124, axiom, (~(p40)|p109), file('<stdin>', ax124)).
% 215.33/215.49 thf(ax225, axiom, p9, file('<stdin>', ax225)).
% 215.33/215.49 thf(nax125, axiom, (p125<=![X1:$i]:((f__3)=(X1)=>(X1)=(f__3))), file('<stdin>', nax125)).
% 215.33/215.49 thf(pax132, axiom, (p132=>(f__1 @ f__4=>(f__4)=(f__2))), file('<stdin>', pax132)).
% 215.33/215.49 thf(pax110, axiom, (p110=>f__1 @ f__4), file('<stdin>', pax110)).
% 215.33/215.49 thf(ax94, axiom, (~(p121)|~(p107)|p132), file('<stdin>', ax94)).
% 215.33/215.49 thf(ax232, axiom, p2, file('<stdin>', ax232)).
% 215.33/215.49 thf(ax122, axiom, (~(p112)|p111), file('<stdin>', ax122)).
% 215.33/215.49 thf(ax125, axiom, (~(p109)|p108), file('<stdin>', ax125)).
% 215.33/215.49 thf(ax108, axiom, (~(p125)|p126), file('<stdin>', ax108)).
% 215.33/215.49 thf(ax123, axiom, (~(p111)|~(p88)|p110), file('<stdin>', ax123)).
% 215.33/215.49 thf(ax126, axiom, (~(p108)|~(p88)|p107), file('<stdin>', ax126)).
% 215.33/215.49 thf(ax107, axiom, (~(p126)|~(p93)|p124), file('<stdin>', ax107)).
% 215.33/215.49 thf(ax143, axiom, (p76|p88), file('<stdin>', ax143)).
% 215.33/215.49 thf(nax169, axiom, (p169<=(f__0)=(f__0)), file('<stdin>', nax169)).
% 215.33/215.49 thf(ax53, axiom, (~(p4)|p104|~(p124)|~(p169)), file('<stdin>', ax53)).
% 215.33/215.49 thf(ax57, axiom, (~(p3)|p103|~(p124)), file('<stdin>', ax57)).
% 215.33/215.49 thf(c_0_60, plain, (~p10|p44), inference(fof_simplification,[status(thm)],[ax190])).
% 215.33/215.49 thf(c_0_61, plain, (~p44|p61), inference(fof_simplification,[status(thm)],[ax172])).
% 215.33/215.49 thf(c_0_62, plain, (p44|~p10), inference(split_conjunct,[status(thm)],[c_0_60])).
% 215.33/215.49 thf(c_0_63, plain, p10, inference(split_conjunct,[status(thm)],[ax224])).
% 215.33/215.49 thf(c_0_64, plain, (~p61|p60), inference(fof_simplification,[status(thm)],[ax173])).
% 215.33/215.49 thf(c_0_65, plain, (p61|~p44), inference(split_conjunct,[status(thm)],[c_0_61])).
% 215.33/215.49 thf(c_0_66, plain, p44, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 215.33/215.49 thf(c_0_67, plain, (~p1|p14), inference(fof_simplification,[status(thm)],[ax220])).
% 215.33/215.49 thf(c_0_68, plain, (~p59|~p3|p57), inference(fof_simplification,[status(thm)],[ax175])).
% 215.33/215.49 thf(c_0_69, plain, (~p60|~p4|p59), inference(fof_simplification,[status(thm)],[ax174])).
% 215.33/215.49 thf(c_0_70, plain, (p60|~p61), inference(split_conjunct,[status(thm)],[c_0_64])).
% 215.33/215.49 thf(c_0_71, plain, p61, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
% 215.33/215.49 thf(c_0_72, plain, (~p14|~p57|~p58), inference(fof_simplification,[status(thm)],[ax176])).
% 215.33/215.49 thf(c_0_73, plain, (p14|~p1), inference(split_conjunct,[status(thm)],[c_0_67])).
% 215.33/215.49 thf(c_0_74, plain, p1, inference(split_conjunct,[status(thm)],[ax233])).
% 215.33/215.49 thf(c_0_75, plain, (p57|~p59|~p3), inference(split_conjunct,[status(thm)],[c_0_68])).
% 215.33/215.49 thf(c_0_76, plain, p3, inference(split_conjunct,[status(thm)],[ax231])).
% 215.33/215.49 thf(c_0_77, plain, (p59|~p60|~p4), inference(split_conjunct,[status(thm)],[c_0_69])).
% 215.33/215.49 thf(c_0_78, plain, p4, inference(split_conjunct,[status(thm)],[ax230])).
% 215.33/215.49 thf(c_0_79, plain, p60, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_71])])).
% 215.33/215.49 thf(c_0_80, plain, (~p7|p22), inference(fof_simplification,[status(thm)],[ax212])).
% 215.33/215.49 thf(c_0_81, plain, (~p14|~p57|~p58), inference(split_conjunct,[status(thm)],[c_0_72])).
% 215.33/215.49 thf(c_0_82, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])).
% 215.33/215.49 thf(c_0_83, plain, (p57|~p59), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 215.33/215.49 thf(c_0_84, plain, p59, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78]), c_0_79])])).
% 215.33/215.49 thf(c_0_85, plain, (~p22|p65), inference(fof_simplification,[status(thm)],[ax169])).
% 215.33/215.49 thf(c_0_86, plain, (p22|~p7), inference(split_conjunct,[status(thm)],[c_0_80])).
% 215.33/215.49 thf(c_0_87, plain, p7, inference(split_conjunct,[status(thm)],[ax227])).
% 215.33/215.49 thf(c_0_88, plain, (~p64|~p62|p58), inference(fof_simplification,[status(thm)],[ax171])).
% 215.33/215.49 thf(c_0_89, plain, (~p57|~p58), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])).
% 215.33/215.49 thf(c_0_90, plain, p57, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])])).
% 215.33/215.49 thf(c_0_91, plain, (~p65|~p63|p64), inference(fof_simplification,[status(thm)],[ax170])).
% 215.33/215.49 thf(c_0_92, plain, (p65|~p22), inference(split_conjunct,[status(thm)],[c_0_85])).
% 215.33/215.49 thf(c_0_93, plain, p22, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_87])])).
% 215.33/215.49 thf(c_0_94, plain, (p58|~p64|~p62), inference(split_conjunct,[status(thm)],[c_0_88])).
% 215.33/215.49 thf(c_0_95, plain, ~p58, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 215.33/215.49 thf(c_0_96, plain, (p64|~p65|~p63), inference(split_conjunct,[status(thm)],[c_0_91])).
% 215.33/215.49 thf(c_0_97, plain, p65, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])])).
% 215.33/215.49 thf(c_0_98, plain, (~p6|p95), inference(fof_simplification,[status(thm)],[ax137])).
% 215.33/215.49 thf(c_0_99, plain, (~p62|~p64), inference(sr,[status(thm)],[c_0_94, c_0_95])).
% 215.33/215.49 thf(c_0_100, plain, (p64|~p63), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 215.33/215.49 thf(c_0_101, plain, (p63|~p76), inference(fof_simplification,[status(thm)],[ax156])).
% 215.33/215.49 thf(c_0_102, plain, (~p95|p94), inference(fof_simplification,[status(thm)],[ax138])).
% 215.33/215.49 thf(c_0_103, plain, (p95|~p6), inference(split_conjunct,[status(thm)],[c_0_98])).
% 215.33/215.49 thf(c_0_104, plain, p6, inference(split_conjunct,[status(thm)],[ax228])).
% 215.33/215.49 thf(c_0_105, plain, (~p62|~p63), inference(spm,[status(thm)],[c_0_99, c_0_100])).
% 215.33/215.49 thf(c_0_106, plain, (p63|~p76), inference(split_conjunct,[status(thm)],[c_0_101])).
% 215.33/215.49 thf(c_0_107, plain, (p62|~p75), inference(fof_simplification,[status(thm)],[ax157])).
% 215.33/215.49 thf(c_0_108, plain, (~p5|p120), inference(fof_simplification,[status(thm)],[ax113])).
% 215.33/215.49 thf(c_0_109, plain, (~p94|~p86|p93), inference(fof_simplification,[status(thm)],[ax139])).
% 215.33/215.49 thf(c_0_110, plain, (p94|~p95), inference(split_conjunct,[status(thm)],[c_0_102])).
% 215.33/215.49 thf(c_0_111, plain, p95, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 215.33/215.49 thf(c_0_112, plain, (~p62|~p76), inference(spm,[status(thm)],[c_0_105, c_0_106])).
% 215.33/215.49 thf(c_0_113, plain, (p62|~p75), inference(split_conjunct,[status(thm)],[c_0_107])).
% 215.33/215.49 thf(c_0_114, plain, (p76|~p89), inference(fof_simplification,[status(thm)],[ax142])).
% 215.33/215.49 thf(c_0_115, plain, (~p120|p123), inference(fof_simplification,[status(thm)],[ax110])).
% 215.33/215.49 thf(c_0_116, plain, (p120|~p5), inference(split_conjunct,[status(thm)],[c_0_108])).
% 215.33/215.49 thf(c_0_117, plain, p5, inference(split_conjunct,[status(thm)],[ax229])).
% 215.33/215.49 thf(c_0_118, plain, (~p93|(f__3)=(f__2)), inference(fof_nnf,[status(thm)],[pax93])).
% 215.33/215.49 thf(c_0_119, plain, (p93|~p94|~p86), inference(split_conjunct,[status(thm)],[c_0_109])).
% 215.33/215.49 thf(c_0_120, plain, p94, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_111])])).
% 215.33/215.49 thf(c_0_121, plain, (~p76|~p75), inference(spm,[status(thm)],[c_0_112, c_0_113])).
% 215.33/215.49 thf(c_0_122, plain, (p76|~p89), inference(split_conjunct,[status(thm)],[c_0_114])).
% 215.33/215.49 thf(c_0_123, plain, (~p123|~p122|p89), inference(fof_simplification,[status(thm)],[ax111])).
% 215.33/215.49 thf(c_0_124, plain, (p123|~p120), inference(split_conjunct,[status(thm)],[c_0_115])).
% 215.33/215.49 thf(c_0_125, plain, p120, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117])])).
% 215.33/215.49 thf(c_0_126, plain, (~p61|p106), inference(fof_simplification,[status(thm)],[ax127])).
% 215.33/215.49 thf(c_0_127, plain, ((f__3)=(f__2)|~p93), inference(split_conjunct,[status(thm)],[c_0_118])).
% 215.33/215.49 thf(c_0_128, plain, (p93|~p86), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119, c_0_120])])).
% 215.33/215.49 thf(c_0_129, plain, (~p75|~p89), inference(spm,[status(thm)],[c_0_121, c_0_122])).
% 215.33/215.49 thf(c_0_130, plain, (p75|p86), inference(split_conjunct,[status(thm)],[ax145])).
% 215.33/215.49 thf(c_0_131, plain, (p89|~p123|~p122), inference(split_conjunct,[status(thm)],[c_0_123])).
% 215.33/215.49 thf(c_0_132, plain, p123, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124, c_0_125])])).
% 215.33/215.49 thf(c_0_133, plain, ((f__4)!=(f__2)|p122), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax122])])).
% 215.33/215.49 thf(c_0_134, plain, (~p106|~p104|p105), inference(fof_simplification,[status(thm)],[ax128])).
% 215.33/215.49 thf(c_0_135, plain, (p106|~p61), inference(split_conjunct,[status(thm)],[c_0_126])).
% 215.33/215.49 thf(c_0_136, plain, ((f__3)=(f__2)|~p86), inference(spm,[status(thm)],[c_0_127, c_0_128])).
% 215.33/215.49 thf(c_0_137, plain, (p86|~p89), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 215.33/215.49 thf(c_0_138, plain, (p89|~p122), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131, c_0_132])])).
% 215.33/215.49 thf(c_0_139, plain, (p122|(f__4)!=(f__2)), inference(split_conjunct,[status(thm)],[c_0_133])).
% 215.33/215.49 thf(c_0_140, plain, (~p3|f__1 @ f__2), inference(fof_nnf,[status(thm)],[pax3])).
% 215.33/215.49 thf(c_0_141, plain, (~p4|fin @ f__2 @ f__0), inference(fof_nnf,[status(thm)],[pax4])).
% 215.33/215.49 thf(c_0_142, plain, (~p105|~p103|p87), inference(fof_simplification,[status(thm)],[ax129])).
% 215.33/215.49 thf(c_0_143, plain, (p105|~p106|~p104), inference(split_conjunct,[status(thm)],[c_0_134])).
% 215.33/215.49 thf(c_0_144, plain, p106, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_71])])).
% 215.33/215.49 thf(c_0_145, plain, (~f__1 @ f__3|p103), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax103])])).
% 215.33/215.49 thf(c_0_146, plain, ((f__3)=(f__2)|~p89), inference(spm,[status(thm)],[c_0_136, c_0_137])).
% 215.33/215.49 thf(c_0_147, plain, (p89|(f__4)!=(f__2)), inference(spm,[status(thm)],[c_0_138, c_0_139])).
% 215.33/215.49 thf(c_0_148, plain, (f__1 @ f__2|~p3), inference(split_conjunct,[status(thm)],[c_0_140])).
% 215.33/215.49 thf(c_0_149, plain, (~fin @ f__3 @ f__0|p104), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax104])])).
% 215.33/215.49 thf(c_0_150, plain, (fin @ f__2 @ f__0|~p4), inference(split_conjunct,[status(thm)],[c_0_141])).
% 215.33/215.49 thf(c_0_151, plain, (~p8|p29), inference(fof_simplification,[status(thm)],[ax205])).
% 215.33/215.49 thf(c_0_152, plain, (~p9|p40), inference(fof_simplification,[status(thm)],[ax194])).
% 215.33/215.49 thf(c_0_153, plain, (~p2|p121), inference(fof_simplification,[status(thm)],[ax112])).
% 215.33/215.49 thf(c_0_154, plain, (p75|~p87), inference(fof_simplification,[status(thm)],[ax144])).
% 215.33/215.49 thf(c_0_155, plain, (p87|~p105|~p103), inference(split_conjunct,[status(thm)],[c_0_142])).
% 215.33/215.49 thf(c_0_156, plain, (p105|~p104), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_144])])).
% 215.33/215.49 thf(c_0_157, plain, (p103|~f__1 @ f__3), inference(split_conjunct,[status(thm)],[c_0_145])).
% 215.33/215.49 thf(c_0_158, plain, ((f__3)=(f__2)|(f__4)!=(f__2)), inference(spm,[status(thm)],[c_0_146, c_0_147])).
% 215.33/215.49 thf(c_0_159, plain, f__1 @ f__2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148, c_0_76])])).
% 215.33/215.49 thf(c_0_160, plain, (p104|~fin @ f__3 @ f__0), inference(split_conjunct,[status(thm)],[c_0_149])).
% 215.33/215.49 thf(c_0_161, plain, fin @ f__2 @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150, c_0_78])])).
% 215.33/215.49 thf(c_0_162, plain, (~p29|p112), inference(fof_simplification,[status(thm)],[ax121])).
% 215.33/215.49 thf(c_0_163, plain, (p29|~p8), inference(split_conjunct,[status(thm)],[c_0_151])).
% 215.33/215.49 thf(c_0_164, plain, p8, inference(split_conjunct,[status(thm)],[ax226])).
% 215.33/215.49 thf(c_0_165, plain, (~p40|p109), inference(fof_simplification,[status(thm)],[ax124])).
% 215.33/215.49 thf(c_0_166, plain, (p40|~p9), inference(split_conjunct,[status(thm)],[c_0_152])).
% 215.33/215.49 thf(c_0_167, plain, p9, inference(split_conjunct,[status(thm)],[ax225])).
% 215.33/215.49 thf(c_0_168, plain, (((f__3)=(esk23_0)|p125)&((esk23_0)!=(f__3)|p125)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax125])])])])])).
% 215.33/215.49 thf(c_0_169, plain, (~p132|(~f__1 @ f__4|(f__4)=(f__2))), inference(fof_nnf,[status(thm)],[pax132])).
% 215.33/215.49 thf(c_0_170, plain, (~p110|f__1 @ f__4), inference(fof_nnf,[status(thm)],[pax110])).
% 215.33/215.49 thf(c_0_171, plain, (~p121|~p107|p132), inference(fof_simplification,[status(thm)],[ax94])).
% 215.33/215.49 thf(c_0_172, plain, (p121|~p2), inference(split_conjunct,[status(thm)],[c_0_153])).
% 215.33/215.49 thf(c_0_173, plain, p2, inference(split_conjunct,[status(thm)],[ax232])).
% 215.33/215.49 thf(c_0_174, plain, (p75|~p87), inference(split_conjunct,[status(thm)],[c_0_154])).
% 215.33/215.49 thf(c_0_175, plain, (p87|~p103|~p104), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 215.33/215.49 thf(c_0_176, plain, (p103|(f__4)!=(f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_158]), c_0_159])])).
% 215.33/215.49 thf(c_0_177, plain, (p104|(f__4)!=(f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_158]), c_0_161])])).
% 215.33/215.49 thf(c_0_178, plain, (~p112|p111), inference(fof_simplification,[status(thm)],[ax122])).
% 215.33/215.49 thf(c_0_179, plain, (p112|~p29), inference(split_conjunct,[status(thm)],[c_0_162])).
% 215.33/215.49 thf(c_0_180, plain, p29, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_164])])).
% 215.33/215.49 thf(c_0_181, plain, (~p109|p108), inference(fof_simplification,[status(thm)],[ax125])).
% 215.33/215.49 thf(c_0_182, plain, (p109|~p40), inference(split_conjunct,[status(thm)],[c_0_165])).
% 215.33/215.49 thf(c_0_183, plain, p40, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166, c_0_167])])).
% 215.33/215.49 thf(c_0_184, plain, (~p125|p126), inference(fof_simplification,[status(thm)],[ax108])).
% 215.33/215.49 thf(c_0_185, plain, (p125|(esk23_0)!=(f__3)), inference(split_conjunct,[status(thm)],[c_0_168])).
% 215.33/215.49 thf(c_0_186, plain, ((f__3)=(esk23_0)|p125), inference(split_conjunct,[status(thm)],[c_0_168])).
% 215.33/215.49 thf(c_0_187, plain, ((f__4)=(f__2)|~p132|~f__1 @ f__4), inference(split_conjunct,[status(thm)],[c_0_169])).
% 215.33/215.49 thf(c_0_188, plain, (f__1 @ f__4|~p110), inference(split_conjunct,[status(thm)],[c_0_170])).
% 215.33/215.49 thf(c_0_189, plain, (p132|~p121|~p107), inference(split_conjunct,[status(thm)],[c_0_171])).
% 215.33/215.49 thf(c_0_190, plain, p121, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172, c_0_173])])).
% 215.33/215.49 thf(c_0_191, plain, (~p89|~p87), inference(spm,[status(thm)],[c_0_129, c_0_174])).
% 215.33/215.49 thf(c_0_192, plain, (p87|(f__4)!=(f__2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_177])).
% 215.33/215.49 thf(c_0_193, plain, (~p111|~p88|p110), inference(fof_simplification,[status(thm)],[ax123])).
% 215.33/215.49 thf(c_0_194, plain, (p111|~p112), inference(split_conjunct,[status(thm)],[c_0_178])).
% 215.33/215.49 thf(c_0_195, plain, p112, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179, c_0_180])])).
% 215.33/215.49 thf(c_0_196, plain, (~p108|~p88|p107), inference(fof_simplification,[status(thm)],[ax126])).
% 215.33/215.49 thf(c_0_197, plain, (p108|~p109), inference(split_conjunct,[status(thm)],[c_0_181])).
% 215.33/215.49 thf(c_0_198, plain, p109, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182, c_0_183])])).
% 215.33/215.49 thf(c_0_199, plain, (~p126|~p93|p124), inference(fof_simplification,[status(thm)],[ax107])).
% 215.33/215.49 thf(c_0_200, plain, (p126|~p125), inference(split_conjunct,[status(thm)],[c_0_184])).
% 215.33/215.49 thf(c_0_201, plain, p125, inference(csr,[status(thm)],[c_0_185, c_0_186])).
% 215.33/215.49 thf(c_0_202, plain, (p76|p88), inference(split_conjunct,[status(thm)],[ax143])).
% 215.33/215.49 thf(c_0_203, plain, ((f__4)=(f__2)|~p132|~p110), inference(spm,[status(thm)],[c_0_187, c_0_188])).
% 215.33/215.49 thf(c_0_204, plain, (p132|~p107), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189, c_0_190])])).
% 215.33/215.49 thf(c_0_205, plain, (f__4)!=(f__2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_147])).
% 215.33/215.49 thf(c_0_206, plain, (p110|~p111|~p88), inference(split_conjunct,[status(thm)],[c_0_193])).
% 215.33/215.49 thf(c_0_207, plain, p111, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194, c_0_195])])).
% 215.33/215.49 thf(c_0_208, plain, (p107|~p108|~p88), inference(split_conjunct,[status(thm)],[c_0_196])).
% 215.33/215.49 thf(c_0_209, plain, p108, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_198])])).
% 215.33/215.49 thf(c_0_210, plain, ((f__0)!=(f__0)|p169), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax169])])).
% 215.33/215.49 thf(c_0_211, plain, (p124|~p126|~p93), inference(split_conjunct,[status(thm)],[c_0_199])).
% 215.33/215.49 thf(c_0_212, plain, p126, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200, c_0_201])])).
% 215.33/215.49 thf(c_0_213, plain, (p88|~p75), inference(spm,[status(thm)],[c_0_121, c_0_202])).
% 215.33/215.49 thf(c_0_214, plain, (~p110|~p107), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203, c_0_204]), c_0_205])).
% 215.33/215.49 thf(c_0_215, plain, (p110|~p88), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206, c_0_207])])).
% 215.33/215.49 thf(c_0_216, plain, (p107|~p88), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208, c_0_209])])).
% 215.33/215.49 thf(c_0_217, plain, (~p4|p104|~p124|~p169), inference(fof_simplification,[status(thm)],[ax53])).
% 215.33/215.49 thf(c_0_218, plain, (p169|(f__0)!=(f__0)), inference(split_conjunct,[status(thm)],[c_0_210])).
% 215.33/215.49 thf(c_0_219, plain, (p124|~p93), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211, c_0_212])])).
% 215.33/215.49 thf(c_0_220, plain, (p86|p88), inference(spm,[status(thm)],[c_0_213, c_0_130])).
% 215.33/215.49 thf(c_0_221, plain, ~p88, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_215]), c_0_216])).
% 215.33/215.49 thf(c_0_222, plain, (p104|~p4|~p124|~p169), inference(split_conjunct,[status(thm)],[c_0_217])).
% 215.33/215.49 thf(c_0_223, plain, p169, inference(cn,[status(thm)],[c_0_218])).
% 215.33/215.49 thf(c_0_224, plain, (p124|~p86), inference(spm,[status(thm)],[c_0_219, c_0_128])).
% 215.33/215.49 thf(c_0_225, plain, p86, inference(sr,[status(thm)],[c_0_220, c_0_221])).
% 215.33/215.49 thf(c_0_226, plain, p76, inference(sr,[status(thm)],[c_0_202, c_0_221])).
% 215.33/215.49 thf(c_0_227, plain, (~p3|p103|~p124), inference(fof_simplification,[status(thm)],[ax57])).
% 215.33/215.49 thf(c_0_228, plain, (p104|~p124), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222, c_0_78]), c_0_223])])).
% 215.33/215.49 thf(c_0_229, plain, p124, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224, c_0_225])])).
% 215.33/215.49 thf(c_0_230, plain, ~p75, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_226])])).
% 215.33/215.49 thf(c_0_231, plain, (p103|~p3|~p124), inference(split_conjunct,[status(thm)],[c_0_227])).
% 215.33/215.49 thf(c_0_232, plain, p104, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228, c_0_229])])).
% 215.33/215.49 thf(c_0_233, plain, ~p87, inference(spm,[status(thm)],[c_0_230, c_0_174])).
% 215.33/215.49 thf(c_0_234, plain, (p103|~p124), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231, c_0_76])])).
% 215.33/215.49 thf(c_0_235, plain, ~p103, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175, c_0_232])]), c_0_233])).
% 215.33/215.49 thf(c_0_236, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234, c_0_229])]), c_0_235]), ['proof']).
% 215.33/215.49 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h20,h21,h18,h19,h16,h17,h15,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[])).
% 215.33/215.49 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h18,h19,h16,h17,h15,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h20,h21])],[h19,1,h20,h21])).
% 215.33/215.49 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h16,h17,h15,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h17,2,h18,h19])).
% 215.33/215.49 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h15,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h15,3,h16,h17])).
% 215.33/215.49 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__2)],[h14,4,h15])).
% 215.33/215.49 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__1)],[h13,5,h14])).
% 215.33/215.49 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__0)],[h12,6,h13])).
% 215.33/215.49 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h10,7,h11,h12])).
% 215.33/215.49 thf(9,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h8,8,h9,h10])).
% 215.33/215.49 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h6,9,h7,h8])).
% 215.33/215.49 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h4,10,h5,h6])).
% 215.33/215.49 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h2,11,h3,h4])).
% 215.33/215.49 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,12,h1,h2])).
% 215.33/215.49 thf(0,theorem,((![X1:$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]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))) => ((![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))) => ((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X4) => (X4 = X3)))) => (~((![X4:$i]:(((in @ X4) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X4) @ emptyset)))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[13,h0])).
% 215.33/215.49 % SZS output end Proof
%------------------------------------------------------------------------------