TSTP Solution File: SEU637^2 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU637^2 : 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 : n003.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 13:54:51 EDT 2022
% Result : Theorem 215.19s 215.46s
% Output : Proof 215.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU637^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 16:24:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 215.19/215.46 % SZS status Theorem
% 215.19/215.46 % Mode: mode447
% 215.19/215.46 % Inferences: 94
% 215.19/215.46 % SZS output start Proof
% 215.19/215.46 thf(ty_eigen__2, type, eigen__2 : $i).
% 215.19/215.46 thf(ty_eigen__1, type, eigen__1 : ($i>$o)).
% 215.19/215.46 thf(ty_eigen__0, type, eigen__0 : $i).
% 215.19/215.46 thf(ty_emptyset, type, emptyset : $i).
% 215.19/215.46 thf(ty_dsetconstr, type, dsetconstr : ($i>($i>$o)>$i)).
% 215.19/215.46 thf(ty_in, type, in : ($i>$i>$o)).
% 215.19/215.46 thf(ty_setadjoin, type, setadjoin : ($i>$i>$i)).
% 215.19/215.46 thf(def_dsetconstrI,definition,(dsetconstrI = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))))).
% 215.19/215.46 thf(def_dsetconstrEL,definition,(dsetconstrEL = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))))).
% 215.19/215.46 thf(def_dsetconstrER,definition,(dsetconstrER = (![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))))).
% 215.19/215.46 thf(def_setext,definition,(setext = (![X1:$i]:(![X2:$i]:((![X3:$i]:(((in @ X3) @ X1) => ((in @ X3) @ X2))) => ((![X3:$i]:(((in @ X3) @ X2) => ((in @ X3) @ X1))) => (X1 = X2))))))).
% 215.19/215.46 thf(def_uniqinunit,definition,(uniqinunit = (![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))))).
% 215.19/215.46 thf(def_eqinunit,definition,(eqinunit = (![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))))).
% 215.19/215.46 thf(def_singleton,definition,(singleton = (^[X1:$i]:(~((![X2:$i]:(((in @ X2) @ X1) => (~((X1 = ((setadjoin @ X2) @ emptyset))))))))))).
% 215.19/215.46 thf(singletonprop,conjecture,((![X1:$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:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset))))))))))))))))))).
% 215.19/215.46 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) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset)))))))))))))))))))),inference(assume_negation,[status(cth)],[singletonprop])).
% 215.19/215.46 thf(h1,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ X1) => ((X2 @ X3) => ((in @ X3) @ ((dsetconstr @ X1) @ X2))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h2,assumption,(~(((![X1:$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:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset))))))))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h3,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => ((in @ X3) @ X1))))),introduced(assumption,[])).
% 215.19/215.46 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) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset)))))))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h5,assumption,(![X1:$i]:(![X2:$i>$o]:(![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (X2 @ X3))))),introduced(assumption,[])).
% 215.19/215.46 thf(h6,assumption,(~(((![X1:$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:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset))))))))))))))))),introduced(assumption,[])).
% 215.19/215.46 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,[])).
% 215.19/215.46 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) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset)))))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h9,assumption,(![X1:$i]:(![X2:$i]:(((in @ X1) @ ((setadjoin @ X2) @ emptyset)) => (X1 = X2)))),introduced(assumption,[])).
% 215.19/215.46 thf(h10,assumption,(~(((![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))) => (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset))))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h11,assumption,(![X1:$i]:(![X2:$i]:((X1 = X2) => ((in @ X1) @ ((setadjoin @ X2) @ emptyset))))),introduced(assumption,[])).
% 215.19/215.46 thf(h12,assumption,(~((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset)))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h13,assumption,(~((![X1:$i>$o]:((![X2:$i]:(((in @ X2) @ eigen__0) => (![X3:$i]:(((in @ X3) @ eigen__0) => ((X1 @ X2) => ((X1 @ X3) => (X2 = X3))))))) => ((~((![X2:$i]:(((in @ X2) @ eigen__0) => (~((X1 @ X2))))))) => (~((![X2:$i]:(((in @ X2) @ ((dsetconstr @ eigen__0) @ X1)) => (~((((dsetconstr @ eigen__0) @ X1) = ((setadjoin @ X2) @ emptyset))))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h14,assumption,(~(((![X1:$i]:(((in @ X1) @ eigen__0) => (![X2:$i]:(((in @ X2) @ eigen__0) => ((eigen__1 @ X1) => ((eigen__1 @ X2) => (X1 = X2))))))) => ((~((![X1:$i]:(((in @ X1) @ eigen__0) => (~((eigen__1 @ X1))))))) => (~((![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset)))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h15,assumption,(![X1:$i]:(((in @ X1) @ eigen__0) => (![X2:$i]:(((in @ X2) @ eigen__0) => ((eigen__1 @ X1) => ((eigen__1 @ X2) => (X1 = X2))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h16,assumption,(~(((~((![X1:$i]:(((in @ X1) @ eigen__0) => (~((eigen__1 @ X1))))))) => (~((![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset))))))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h17,assumption,(~((![X1:$i]:(((in @ X1) @ eigen__0) => (~((eigen__1 @ X1))))))),introduced(assumption,[])).
% 215.19/215.46 thf(h18,assumption,(![X1:$i]:(((in @ X1) @ ((dsetconstr @ eigen__0) @ eigen__1)) => (~((((dsetconstr @ eigen__0) @ eigen__1) = ((setadjoin @ X1) @ emptyset)))))),introduced(assumption,[])).
% 215.19/215.46 thf(h19,assumption,(~((((in @ eigen__2) @ eigen__0) => (~((eigen__1 @ eigen__2)))))),introduced(assumption,[])).
% 215.19/215.46 thf(h20,assumption,((in @ eigen__2) @ eigen__0),introduced(assumption,[])).
% 215.19/215.46 thf(h21,assumption,(eigen__1 @ eigen__2),introduced(assumption,[])).
% 215.19/215.46 thf(ax156, axiom, (~(p10)|p47), file('<stdin>', ax156)).
% 215.19/215.46 thf(ax134, axiom, (~(p47)|p68), file('<stdin>', ax134)).
% 215.19/215.46 thf(ax193, axiom, p10, file('<stdin>', ax193)).
% 215.19/215.46 thf(ax135, axiom, (~(p68)|p67), file('<stdin>', ax135)).
% 215.19/215.46 thf(ax186, axiom, (~(p1)|p17), file('<stdin>', ax186)).
% 215.19/215.46 thf(ax137, axiom, (~(p66)|~(p2)|p64), file('<stdin>', ax137)).
% 215.19/215.46 thf(ax136, axiom, (~(p67)|~(p3)|p66), file('<stdin>', ax136)).
% 215.19/215.46 thf(ax138, axiom, (~(p17)|~(p64)|~(p65)), file('<stdin>', ax138)).
% 215.19/215.46 thf(ax202, axiom, p1, file('<stdin>', ax202)).
% 215.19/215.46 thf(ax201, axiom, p2, file('<stdin>', ax201)).
% 215.19/215.46 thf(ax200, axiom, p3, file('<stdin>', ax200)).
% 215.19/215.46 thf(ax178, axiom, (~(p7)|p25), file('<stdin>', ax178)).
% 215.19/215.46 thf(ax131, axiom, (~(p25)|p72), file('<stdin>', ax131)).
% 215.19/215.46 thf(ax196, axiom, p7, file('<stdin>', ax196)).
% 215.19/215.46 thf(ax133, axiom, (~(p71)|~(p69)|p65), file('<stdin>', ax133)).
% 215.19/215.46 thf(ax132, axiom, (~(p72)|~(p70)|p71), file('<stdin>', ax132)).
% 215.19/215.46 thf(ax113, axiom, (p70|~(p91)), file('<stdin>', ax113)).
% 215.19/215.46 thf(ax114, axiom, (p69|~(p90)), file('<stdin>', ax114)).
% 215.19/215.46 thf(ax61, axiom, (~(p5)|p140), file('<stdin>', ax61)).
% 215.19/215.46 thf(ax87, axiom, (~(p6)|p113), file('<stdin>', ax87)).
% 215.19/215.46 thf(ax98, axiom, (p91|~(p105)), file('<stdin>', ax98)).
% 215.19/215.46 thf(ax58, axiom, (~(p140)|p143), file('<stdin>', ax58)).
% 215.19/215.46 thf(ax198, axiom, p5, file('<stdin>', ax198)).
% 215.19/215.46 thf(ax88, axiom, (~(p113)|p112), file('<stdin>', ax88)).
% 215.19/215.46 thf(ax197, axiom, p6, file('<stdin>', ax197)).
% 215.19/215.46 thf(ax59, axiom, (~(p143)|~(p142)|p105), file('<stdin>', ax59)).
% 215.19/215.46 thf(ax89, axiom, (~(p112)|~(p102)|p111), file('<stdin>', ax89)).
% 215.19/215.46 thf(ax101, axiom, (p90|p102), file('<stdin>', ax101)).
% 215.19/215.46 thf(ax76, axiom, (~(p68)|p125), file('<stdin>', ax76)).
% 215.19/215.46 thf(pax111, axiom, (p111=>(f__3)=(f__2)), file('<stdin>', pax111)).
% 215.19/215.46 thf(nax142, axiom, (p142<=(f__4)=(f__2)), file('<stdin>', nax142)).
% 215.19/215.46 thf(ax77, axiom, (~(p125)|~(p123)|p124), file('<stdin>', ax77)).
% 215.19/215.46 thf(pax3, axiom, (p3=>fin @ f__2 @ f__0), file('<stdin>', pax3)).
% 215.19/215.46 thf(pax2, axiom, (p2=>f__1 @ f__2), file('<stdin>', pax2)).
% 215.19/215.46 thf(ax100, axiom, (p90|~(p103)), file('<stdin>', ax100)).
% 215.19/215.46 thf(ax78, axiom, (~(p124)|~(p122)|p103), file('<stdin>', ax78)).
% 215.19/215.46 thf(nax123, axiom, (p123<=fin @ f__3 @ f__0), file('<stdin>', nax123)).
% 215.19/215.46 thf(nax122, axiom, (p122<=f__1 @ f__3), file('<stdin>', nax122)).
% 215.19/215.46 thf(pax162, axiom, (p162=>(f__1 @ f__4=>(f__1 @ f__2=>(f__4)=(f__2)))), file('<stdin>', pax162)).
% 215.19/215.46 thf(ax171, axiom, (~(p8)|p32), file('<stdin>', ax171)).
% 215.19/215.46 thf(ax160, axiom, (~(p9)|p43), file('<stdin>', ax160)).
% 215.19/215.46 thf(ax70, axiom, (~(p32)|p131), file('<stdin>', ax70)).
% 215.19/215.46 thf(ax195, axiom, p8, file('<stdin>', ax195)).
% 215.19/215.46 thf(ax73, axiom, (~(p43)|p128), file('<stdin>', ax73)).
% 215.19/215.46 thf(ax194, axiom, p9, file('<stdin>', ax194)).
% 215.19/215.46 thf(pax129, axiom, (p129=>f__1 @ f__4), file('<stdin>', pax129)).
% 215.19/215.46 thf(ax31, axiom, (~(p163)|~(p3)|p162), file('<stdin>', ax31)).
% 215.19/215.46 thf(ax71, axiom, (~(p131)|p130), file('<stdin>', ax71)).
% 215.19/215.46 thf(ax60, axiom, (~(p4)|p141), file('<stdin>', ax60)).
% 215.19/215.46 thf(ax74, axiom, (~(p128)|p127), file('<stdin>', ax74)).
% 215.19/215.46 thf(ax72, axiom, (~(p130)|~(p104)|p129), file('<stdin>', ax72)).
% 215.19/215.46 thf(ax34, axiom, (~(p141)|~(p126)|p160), file('<stdin>', ax34)).
% 215.19/215.46 thf(ax199, axiom, p4, file('<stdin>', ax199)).
% 215.19/215.46 thf(ax75, axiom, (~(p127)|~(p104)|p126), file('<stdin>', ax75)).
% 215.19/215.46 thf(ax99, axiom, (p91|p104), file('<stdin>', ax99)).
% 215.19/215.46 thf(ax30, axiom, (~(p160)|p163), file('<stdin>', ax30)).
% 215.19/215.46 thf(c_0_56, plain, (~p10|p47), inference(fof_simplification,[status(thm)],[ax156])).
% 215.19/215.46 thf(c_0_57, plain, (~p47|p68), inference(fof_simplification,[status(thm)],[ax134])).
% 215.19/215.46 thf(c_0_58, plain, (p47|~p10), inference(split_conjunct,[status(thm)],[c_0_56])).
% 215.19/215.46 thf(c_0_59, plain, p10, inference(split_conjunct,[status(thm)],[ax193])).
% 215.19/215.46 thf(c_0_60, plain, (~p68|p67), inference(fof_simplification,[status(thm)],[ax135])).
% 215.19/215.46 thf(c_0_61, plain, (p68|~p47), inference(split_conjunct,[status(thm)],[c_0_57])).
% 215.19/215.46 thf(c_0_62, plain, p47, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 215.19/215.46 thf(c_0_63, plain, (~p1|p17), inference(fof_simplification,[status(thm)],[ax186])).
% 215.19/215.46 thf(c_0_64, plain, (~p66|~p2|p64), inference(fof_simplification,[status(thm)],[ax137])).
% 215.19/215.46 thf(c_0_65, plain, (~p67|~p3|p66), inference(fof_simplification,[status(thm)],[ax136])).
% 215.19/215.46 thf(c_0_66, plain, (p67|~p68), inference(split_conjunct,[status(thm)],[c_0_60])).
% 215.19/215.46 thf(c_0_67, plain, p68, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 215.19/215.46 thf(c_0_68, plain, (~p17|~p64|~p65), inference(fof_simplification,[status(thm)],[ax138])).
% 215.19/215.46 thf(c_0_69, plain, (p17|~p1), inference(split_conjunct,[status(thm)],[c_0_63])).
% 215.19/215.46 thf(c_0_70, plain, p1, inference(split_conjunct,[status(thm)],[ax202])).
% 215.19/215.46 thf(c_0_71, plain, (p64|~p66|~p2), inference(split_conjunct,[status(thm)],[c_0_64])).
% 215.19/215.46 thf(c_0_72, plain, p2, inference(split_conjunct,[status(thm)],[ax201])).
% 215.19/215.46 thf(c_0_73, plain, (p66|~p67|~p3), inference(split_conjunct,[status(thm)],[c_0_65])).
% 215.19/215.46 thf(c_0_74, plain, p3, inference(split_conjunct,[status(thm)],[ax200])).
% 215.19/215.46 thf(c_0_75, plain, p67, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 215.19/215.46 thf(c_0_76, plain, (~p7|p25), inference(fof_simplification,[status(thm)],[ax178])).
% 215.19/215.46 thf(c_0_77, plain, (~p17|~p64|~p65), inference(split_conjunct,[status(thm)],[c_0_68])).
% 215.19/215.46 thf(c_0_78, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 215.19/215.46 thf(c_0_79, plain, (p64|~p66), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])).
% 215.19/215.46 thf(c_0_80, plain, p66, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74]), c_0_75])])).
% 215.19/215.46 thf(c_0_81, plain, (~p25|p72), inference(fof_simplification,[status(thm)],[ax131])).
% 215.19/215.46 thf(c_0_82, plain, (p25|~p7), inference(split_conjunct,[status(thm)],[c_0_76])).
% 215.19/215.46 thf(c_0_83, plain, p7, inference(split_conjunct,[status(thm)],[ax196])).
% 215.19/215.46 thf(c_0_84, plain, (~p71|~p69|p65), inference(fof_simplification,[status(thm)],[ax133])).
% 215.19/215.46 thf(c_0_85, plain, (~p64|~p65), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 215.19/215.46 thf(c_0_86, plain, p64, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])).
% 215.19/215.46 thf(c_0_87, plain, (~p72|~p70|p71), inference(fof_simplification,[status(thm)],[ax132])).
% 215.19/215.46 thf(c_0_88, plain, (p72|~p25), inference(split_conjunct,[status(thm)],[c_0_81])).
% 215.19/215.46 thf(c_0_89, plain, p25, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])])).
% 215.19/215.46 thf(c_0_90, plain, (p65|~p71|~p69), inference(split_conjunct,[status(thm)],[c_0_84])).
% 215.19/215.46 thf(c_0_91, plain, ~p65, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])])).
% 215.19/215.46 thf(c_0_92, plain, (p71|~p72|~p70), inference(split_conjunct,[status(thm)],[c_0_87])).
% 215.19/215.46 thf(c_0_93, plain, p72, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89])])).
% 215.19/215.46 thf(c_0_94, plain, (~p69|~p71), inference(sr,[status(thm)],[c_0_90, c_0_91])).
% 215.19/215.46 thf(c_0_95, plain, (p71|~p70), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])])).
% 215.19/215.46 thf(c_0_96, plain, (p70|~p91), inference(fof_simplification,[status(thm)],[ax113])).
% 215.19/215.46 thf(c_0_97, plain, (~p69|~p70), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 215.19/215.46 thf(c_0_98, plain, (p70|~p91), inference(split_conjunct,[status(thm)],[c_0_96])).
% 215.19/215.46 thf(c_0_99, plain, (p69|~p90), inference(fof_simplification,[status(thm)],[ax114])).
% 215.19/215.46 thf(c_0_100, plain, (~p5|p140), inference(fof_simplification,[status(thm)],[ax61])).
% 215.19/215.46 thf(c_0_101, plain, (~p6|p113), inference(fof_simplification,[status(thm)],[ax87])).
% 215.19/215.46 thf(c_0_102, plain, (~p69|~p91), inference(spm,[status(thm)],[c_0_97, c_0_98])).
% 215.19/215.46 thf(c_0_103, plain, (p69|~p90), inference(split_conjunct,[status(thm)],[c_0_99])).
% 215.19/215.46 thf(c_0_104, plain, (p91|~p105), inference(fof_simplification,[status(thm)],[ax98])).
% 215.19/215.46 thf(c_0_105, plain, (~p140|p143), inference(fof_simplification,[status(thm)],[ax58])).
% 215.19/215.46 thf(c_0_106, plain, (p140|~p5), inference(split_conjunct,[status(thm)],[c_0_100])).
% 215.19/215.46 thf(c_0_107, plain, p5, inference(split_conjunct,[status(thm)],[ax198])).
% 215.19/215.46 thf(c_0_108, plain, (~p113|p112), inference(fof_simplification,[status(thm)],[ax88])).
% 215.19/215.46 thf(c_0_109, plain, (p113|~p6), inference(split_conjunct,[status(thm)],[c_0_101])).
% 215.19/215.46 thf(c_0_110, plain, p6, inference(split_conjunct,[status(thm)],[ax197])).
% 215.19/215.46 thf(c_0_111, plain, (~p91|~p90), inference(spm,[status(thm)],[c_0_102, c_0_103])).
% 215.19/215.46 thf(c_0_112, plain, (p91|~p105), inference(split_conjunct,[status(thm)],[c_0_104])).
% 215.19/215.46 thf(c_0_113, plain, (~p143|~p142|p105), inference(fof_simplification,[status(thm)],[ax59])).
% 215.19/215.46 thf(c_0_114, plain, (p143|~p140), inference(split_conjunct,[status(thm)],[c_0_105])).
% 215.19/215.46 thf(c_0_115, plain, p140, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])])).
% 215.19/215.46 thf(c_0_116, plain, (~p112|~p102|p111), inference(fof_simplification,[status(thm)],[ax89])).
% 215.19/215.46 thf(c_0_117, plain, (p112|~p113), inference(split_conjunct,[status(thm)],[c_0_108])).
% 215.19/215.46 thf(c_0_118, plain, p113, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])).
% 215.19/215.46 thf(c_0_119, plain, (~p90|~p105), inference(spm,[status(thm)],[c_0_111, c_0_112])).
% 215.19/215.46 thf(c_0_120, plain, (p90|p102), inference(split_conjunct,[status(thm)],[ax101])).
% 215.19/215.46 thf(c_0_121, plain, (p105|~p143|~p142), inference(split_conjunct,[status(thm)],[c_0_113])).
% 215.19/215.46 thf(c_0_122, plain, p143, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])).
% 215.19/215.46 thf(c_0_123, plain, (~p68|p125), inference(fof_simplification,[status(thm)],[ax76])).
% 215.19/215.46 thf(c_0_124, plain, (~p111|(f__3)=(f__2)), inference(fof_nnf,[status(thm)],[pax111])).
% 215.19/215.46 thf(c_0_125, plain, (p111|~p112|~p102), inference(split_conjunct,[status(thm)],[c_0_116])).
% 215.19/215.46 thf(c_0_126, plain, p112, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])])).
% 215.19/215.46 thf(c_0_127, plain, (p102|~p105), inference(spm,[status(thm)],[c_0_119, c_0_120])).
% 215.19/215.46 thf(c_0_128, plain, (p105|~p142), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_122])])).
% 215.19/215.46 thf(c_0_129, plain, ((f__4)!=(f__2)|p142), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax142])])).
% 215.19/215.46 thf(c_0_130, plain, (~p125|~p123|p124), inference(fof_simplification,[status(thm)],[ax77])).
% 215.19/215.46 thf(c_0_131, plain, (p125|~p68), inference(split_conjunct,[status(thm)],[c_0_123])).
% 215.19/215.46 thf(c_0_132, plain, ((f__3)=(f__2)|~p111), inference(split_conjunct,[status(thm)],[c_0_124])).
% 215.19/215.46 thf(c_0_133, plain, (p111|~p102), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125, c_0_126])])).
% 215.19/215.46 thf(c_0_134, plain, (p102|~p142), inference(spm,[status(thm)],[c_0_127, c_0_128])).
% 215.19/215.46 thf(c_0_135, plain, (p142|(f__4)!=(f__2)), inference(split_conjunct,[status(thm)],[c_0_129])).
% 215.19/215.46 thf(c_0_136, plain, (~p3|fin @ f__2 @ f__0), inference(fof_nnf,[status(thm)],[pax3])).
% 215.19/215.46 thf(c_0_137, plain, (~p2|f__1 @ f__2), inference(fof_nnf,[status(thm)],[pax2])).
% 215.19/215.46 thf(c_0_138, plain, (p90|~p103), inference(fof_simplification,[status(thm)],[ax100])).
% 215.19/215.46 thf(c_0_139, plain, (~p124|~p122|p103), inference(fof_simplification,[status(thm)],[ax78])).
% 215.19/215.46 thf(c_0_140, plain, (p124|~p125|~p123), inference(split_conjunct,[status(thm)],[c_0_130])).
% 215.19/215.46 thf(c_0_141, plain, p125, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131, c_0_67])])).
% 215.19/215.46 thf(c_0_142, plain, (~fin @ f__3 @ f__0|p123), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax123])])).
% 215.19/215.46 thf(c_0_143, plain, ((f__3)=(f__2)|~p102), inference(spm,[status(thm)],[c_0_132, c_0_133])).
% 215.19/215.46 thf(c_0_144, plain, (p102|(f__4)!=(f__2)), inference(spm,[status(thm)],[c_0_134, c_0_135])).
% 215.19/215.46 thf(c_0_145, plain, (fin @ f__2 @ f__0|~p3), inference(split_conjunct,[status(thm)],[c_0_136])).
% 215.19/215.46 thf(c_0_146, plain, (~f__1 @ f__3|p122), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax122])])).
% 215.19/215.46 thf(c_0_147, plain, (f__1 @ f__2|~p2), inference(split_conjunct,[status(thm)],[c_0_137])).
% 215.19/215.46 thf(c_0_148, plain, (p90|~p103), inference(split_conjunct,[status(thm)],[c_0_138])).
% 215.19/215.46 thf(c_0_149, plain, (p103|~p124|~p122), inference(split_conjunct,[status(thm)],[c_0_139])).
% 215.19/215.46 thf(c_0_150, plain, (p124|~p123), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140, c_0_141])])).
% 215.19/215.46 thf(c_0_151, plain, (p123|~fin @ f__3 @ f__0), inference(split_conjunct,[status(thm)],[c_0_142])).
% 215.19/215.46 thf(c_0_152, plain, ((f__3)=(f__2)|(f__4)!=(f__2)), inference(spm,[status(thm)],[c_0_143, c_0_144])).
% 215.19/215.46 thf(c_0_153, plain, fin @ f__2 @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145, c_0_74])])).
% 215.19/215.46 thf(c_0_154, plain, (p122|~f__1 @ f__3), inference(split_conjunct,[status(thm)],[c_0_146])).
% 215.19/215.46 thf(c_0_155, plain, f__1 @ f__2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147, c_0_72])])).
% 215.19/215.46 thf(c_0_156, plain, (~p162|(~f__1 @ f__4|(~f__1 @ f__2|(f__4)=(f__2)))), inference(fof_nnf,[status(thm)],[pax162])).
% 215.19/215.46 thf(c_0_157, plain, (~p105|~p103), inference(spm,[status(thm)],[c_0_119, c_0_148])).
% 215.19/215.46 thf(c_0_158, plain, (p103|~p122|~p123), inference(spm,[status(thm)],[c_0_149, c_0_150])).
% 215.19/215.46 thf(c_0_159, plain, (p123|(f__4)!=(f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153])])).
% 215.19/215.46 thf(c_0_160, plain, (p122|(f__4)!=(f__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_152]), c_0_155])])).
% 215.19/215.46 thf(c_0_161, plain, (~p8|p32), inference(fof_simplification,[status(thm)],[ax171])).
% 215.19/215.46 thf(c_0_162, plain, (~p9|p43), inference(fof_simplification,[status(thm)],[ax160])).
% 215.19/215.46 thf(c_0_163, plain, ((f__4)=(f__2)|~p162|~f__1 @ f__4|~f__1 @ f__2), inference(split_conjunct,[status(thm)],[c_0_156])).
% 215.19/215.46 thf(c_0_164, plain, (~p103|~p142), inference(spm,[status(thm)],[c_0_157, c_0_128])).
% 215.19/215.46 thf(c_0_165, plain, (p103|(f__4)!=(f__2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_160])).
% 215.19/215.46 thf(c_0_166, plain, (~p32|p131), inference(fof_simplification,[status(thm)],[ax70])).
% 215.19/215.46 thf(c_0_167, plain, (p32|~p8), inference(split_conjunct,[status(thm)],[c_0_161])).
% 215.19/215.46 thf(c_0_168, plain, p8, inference(split_conjunct,[status(thm)],[ax195])).
% 215.19/215.46 thf(c_0_169, plain, (~p43|p128), inference(fof_simplification,[status(thm)],[ax73])).
% 215.19/215.46 thf(c_0_170, plain, (p43|~p9), inference(split_conjunct,[status(thm)],[c_0_162])).
% 215.19/215.46 thf(c_0_171, plain, p9, inference(split_conjunct,[status(thm)],[ax194])).
% 215.19/215.46 thf(c_0_172, plain, ((f__4)=(f__2)|~f__1 @ f__4|~p162), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_155])])).
% 215.19/215.46 thf(c_0_173, plain, (f__4)!=(f__2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_135])).
% 215.19/215.46 thf(c_0_174, plain, (~p129|f__1 @ f__4), inference(fof_nnf,[status(thm)],[pax129])).
% 215.19/215.46 thf(c_0_175, plain, (~p163|~p3|p162), inference(fof_simplification,[status(thm)],[ax31])).
% 215.19/215.46 thf(c_0_176, plain, (~p131|p130), inference(fof_simplification,[status(thm)],[ax71])).
% 215.19/215.46 thf(c_0_177, plain, (p131|~p32), inference(split_conjunct,[status(thm)],[c_0_166])).
% 215.19/215.46 thf(c_0_178, plain, p32, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167, c_0_168])])).
% 215.19/215.46 thf(c_0_179, plain, (~p4|p141), inference(fof_simplification,[status(thm)],[ax60])).
% 215.19/215.46 thf(c_0_180, plain, (~p128|p127), inference(fof_simplification,[status(thm)],[ax74])).
% 215.19/215.46 thf(c_0_181, plain, (p128|~p43), inference(split_conjunct,[status(thm)],[c_0_169])).
% 215.19/215.46 thf(c_0_182, plain, p43, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170, c_0_171])])).
% 215.19/215.46 thf(c_0_183, plain, (~f__1 @ f__4|~p162), inference(sr,[status(thm)],[c_0_172, c_0_173])).
% 215.19/215.46 thf(c_0_184, plain, (f__1 @ f__4|~p129), inference(split_conjunct,[status(thm)],[c_0_174])).
% 215.19/215.46 thf(c_0_185, plain, (p162|~p163|~p3), inference(split_conjunct,[status(thm)],[c_0_175])).
% 215.19/215.46 thf(c_0_186, plain, (~p130|~p104|p129), inference(fof_simplification,[status(thm)],[ax72])).
% 215.19/215.46 thf(c_0_187, plain, (p130|~p131), inference(split_conjunct,[status(thm)],[c_0_176])).
% 215.19/215.46 thf(c_0_188, plain, p131, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177, c_0_178])])).
% 215.19/215.46 thf(c_0_189, plain, (~p141|~p126|p160), inference(fof_simplification,[status(thm)],[ax34])).
% 215.19/215.46 thf(c_0_190, plain, (p141|~p4), inference(split_conjunct,[status(thm)],[c_0_179])).
% 215.19/215.46 thf(c_0_191, plain, p4, inference(split_conjunct,[status(thm)],[ax199])).
% 215.19/215.46 thf(c_0_192, plain, (~p127|~p104|p126), inference(fof_simplification,[status(thm)],[ax75])).
% 215.19/215.46 thf(c_0_193, plain, (p127|~p128), inference(split_conjunct,[status(thm)],[c_0_180])).
% 215.19/215.46 thf(c_0_194, plain, p128, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181, c_0_182])])).
% 215.19/215.46 thf(c_0_195, plain, (~p162|~p129), inference(spm,[status(thm)],[c_0_183, c_0_184])).
% 215.19/215.46 thf(c_0_196, plain, (p162|~p163), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185, c_0_74])])).
% 215.19/215.46 thf(c_0_197, plain, (p129|~p130|~p104), inference(split_conjunct,[status(thm)],[c_0_186])).
% 215.19/215.46 thf(c_0_198, plain, p130, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187, c_0_188])])).
% 215.19/215.46 thf(c_0_199, plain, (p160|~p141|~p126), inference(split_conjunct,[status(thm)],[c_0_189])).
% 215.19/215.46 thf(c_0_200, plain, p141, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190, c_0_191])])).
% 215.19/215.46 thf(c_0_201, plain, (p126|~p127|~p104), inference(split_conjunct,[status(thm)],[c_0_192])).
% 215.19/215.46 thf(c_0_202, plain, p127, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193, c_0_194])])).
% 215.19/215.46 thf(c_0_203, plain, (p91|p104), inference(split_conjunct,[status(thm)],[ax99])).
% 215.19/215.46 thf(c_0_204, plain, (~p129|~p163), inference(spm,[status(thm)],[c_0_195, c_0_196])).
% 215.19/215.46 thf(c_0_205, plain, (p129|~p104), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_198])])).
% 215.19/215.46 thf(c_0_206, plain, (~p160|p163), inference(fof_simplification,[status(thm)],[ax30])).
% 215.19/215.46 thf(c_0_207, plain, (p160|~p126), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199, c_0_200])])).
% 215.19/215.46 thf(c_0_208, plain, (p126|~p104), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201, c_0_202])])).
% 215.19/215.46 thf(c_0_209, plain, (p104|~p90), inference(spm,[status(thm)],[c_0_111, c_0_203])).
% 215.19/215.46 thf(c_0_210, plain, (~p163|~p104), inference(spm,[status(thm)],[c_0_204, c_0_205])).
% 215.19/215.46 thf(c_0_211, plain, (p163|~p160), inference(split_conjunct,[status(thm)],[c_0_206])).
% 215.19/215.46 thf(c_0_212, plain, (p160|~p104), inference(spm,[status(thm)],[c_0_207, c_0_208])).
% 215.19/215.46 thf(c_0_213, plain, (p102|p104), inference(spm,[status(thm)],[c_0_209, c_0_120])).
% 215.19/215.46 thf(c_0_214, plain, ~p104, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_211]), c_0_212])).
% 215.19/215.46 thf(c_0_215, plain, p102, inference(sr,[status(thm)],[c_0_213, c_0_214])).
% 215.19/215.46 thf(c_0_216, plain, p91, inference(sr,[status(thm)],[c_0_203, c_0_214])).
% 215.19/215.46 thf(c_0_217, plain, (f__3)=(f__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_215])])).
% 215.19/215.46 thf(c_0_218, plain, ~p90, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_216])])).
% 215.19/215.46 thf(c_0_219, plain, p123, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151, c_0_217]), c_0_153])])).
% 215.19/215.46 thf(c_0_220, plain, ~p103, inference(spm,[status(thm)],[c_0_218, c_0_148])).
% 215.19/215.46 thf(c_0_221, plain, ~p122, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_219])]), c_0_220])).
% 215.19/215.46 thf(c_0_222, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154, c_0_217]), c_0_155])]), c_0_221]), ['proof']).
% 215.19/215.46 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h20,h21,h19,h17,h18,h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[])).
% 215.19/215.46 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h19,h17,h18,h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h20,h21])],[h19,1,h20,h21])).
% 215.19/215.46 thf(3,plain,$false,inference(tab_negall,[status(thm),assumptions([h17,h18,h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h19]),tab_negall(eigenvar,eigen__2)],[h17,2,h19])).
% 215.19/215.46 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h15,h16,h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h16,3,h17,h18])).
% 215.19/215.46 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h14,h13,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h14,4,h15,h16])).
% 215.19/215.46 thf(6,plain,$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])).
% 215.19/215.46 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__0)],[h12,6,h13])).
% 215.19/215.46 thf(8,plain,$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])).
% 215.19/215.46 thf(9,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h8,8,h9,h10])).
% 215.19/215.46 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h6,9,h7,h8])).
% 215.19/215.46 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h4,10,h5,h6])).
% 215.19/215.46 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h2,11,h3,h4])).
% 215.19/215.46 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,12,h1,h2])).
% 215.19/215.46 thf(0,theorem,((![X1:$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:$i]:(((in @ X3) @ X1) => (![X4:$i]:(((in @ X4) @ X1) => ((X2 @ X3) => ((X2 @ X4) => (X3 = X4))))))) => ((~((![X3:$i]:(((in @ X3) @ X1) => (~((X2 @ X3))))))) => (~((![X3:$i]:(((in @ X3) @ ((dsetconstr @ X1) @ X2)) => (~((((dsetconstr @ X1) @ X2) = ((setadjoin @ X3) @ emptyset)))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[13,h0])).
% 215.19/215.46 % SZS output end Proof
%------------------------------------------------------------------------------