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Satallax---3.5.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : GRA087^1 : TPTP v9.2.0. Released v9.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  9 01:32:39 PM UTC 2025

% Result   : Unsatisfiable 85.62s 85.62s
% Output   : Proof 85.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRA087^1 : TPTP v9.2.0. Released v9.0.0.
% 0.03/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  8 15:35:23 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 85.62/85.62  % SZS status Unsatisfiable
% 85.62/85.62  % Mode: mode460
% 85.62/85.62  % Inferences: 23409
% 85.62/85.62  % SZS output start Proof
% 85.62/85.62  thf(ty_eigen__1, type, eigen__1 : $i).
% 85.62/85.62  thf(ty_b, type, b : ($i>$i>$o)).
% 85.62/85.62  thf(ty_eigen__0, type, eigen__0 : ($i>$i)).
% 85.62/85.62  thf(ty_r, type, r : ($i>$i>$o)).
% 85.62/85.62  thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP1])])).
% 85.62/85.62  thf(sP2,plain,sP2 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 85.62/85.62  thf(sP3,plain,sP3 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 85.62/85.62  thf(sP4,plain,sP4 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 85.62/85.62  thf(sP5,plain,sP5 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 85.62/85.62  thf(sP6,plain,sP6 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 85.62/85.62  thf(sP7,plain,sP7 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP7])])).
% 85.62/85.62  thf(sP8,plain,sP8 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP8])])).
% 85.62/85.62  thf(sP9,plain,sP9 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 85.62/85.62  thf(sP10,plain,sP10 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 85.62/85.62  thf(sP11,plain,sP11 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP11])])).
% 85.62/85.62  thf(sP12,plain,sP12 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP12])])).
% 85.62/85.62  thf(sP13,plain,sP13 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP13])])).
% 85.62/85.62  thf(sP14,plain,sP14 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP14])])).
% 85.62/85.62  thf(sP15,plain,sP15 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP15])])).
% 85.62/85.62  thf(sP16,plain,sP16 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP16])])).
% 85.62/85.62  thf(sP17,plain,sP17 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP17])])).
% 85.62/85.62  thf(sP18,plain,sP18 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP18])])).
% 85.62/85.62  thf(sP19,plain,sP19 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP19])])).
% 85.62/85.62  thf(sP20,plain,sP20 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP20])])).
% 85.62/85.62  thf(sP21,plain,sP21 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP21])])).
% 85.62/85.62  thf(sP22,plain,sP22 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP22])])).
% 85.62/85.62  thf(sP23,plain,sP23 <=> (![X1:$i]:((~(((~((sP14 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP23])])).
% 85.62/85.62  thf(sP24,plain,sP24 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP24])])).
% 85.62/85.62  thf(sP25,plain,sP25 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP25])])).
% 85.62/85.62  thf(sP26,plain,sP26 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP26])])).
% 85.62/85.62  thf(sP27,plain,sP27 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP27])])).
% 85.62/85.62  thf(sP28,plain,sP28 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP28])])).
% 85.62/85.62  thf(sP29,plain,sP29 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP29])])).
% 85.62/85.62  thf(sP30,plain,sP30 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP30])])).
% 85.62/85.62  thf(sP31,plain,sP31 <=> (![X1:$i]:((~(((~((sP14 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP13))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP31])])).
% 85.62/85.62  thf(sP32,plain,sP32 <=> (![X1:$i]:((~((sP16 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP32])])).
% 85.62/85.62  thf(sP33,plain,sP33 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP33])])).
% 85.62/85.62  thf(sP34,plain,sP34 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP34])])).
% 85.62/85.62  thf(sP35,plain,sP35 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP35])])).
% 85.62/85.62  thf(sP36,plain,sP36 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP36])])).
% 85.62/85.62  thf(sP37,plain,sP37 <=> (![X1:$i]:((~(((~((sP26 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP37])])).
% 85.62/85.62  thf(sP38,plain,sP38 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP38])])).
% 85.62/85.62  thf(sP39,plain,sP39 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP39])])).
% 85.62/85.62  thf(sP40,plain,sP40 <=> (sP35 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP40])])).
% 85.62/85.62  thf(sP41,plain,sP41 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP41])])).
% 85.62/85.62  thf(sP42,plain,sP42 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP42])])).
% 85.62/85.62  thf(sP43,plain,sP43 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP43])])).
% 85.62/85.62  thf(sP44,plain,sP44 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP44])])).
% 85.62/85.62  thf(sP45,plain,sP45 <=> ((~(((~((sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP45])])).
% 85.62/85.62  thf(sP46,plain,sP46 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP46])])).
% 85.62/85.62  thf(sP47,plain,sP47 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP47])])).
% 85.62/85.62  thf(sP48,plain,sP48 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))),introduced(definition,[new_symbols(definition,[sP48])])).
% 85.62/85.62  thf(sP49,plain,sP49 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP49])])).
% 85.62/85.62  thf(sP50,plain,sP50 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP50])])).
% 85.62/85.62  thf(sP51,plain,sP51 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP51])])).
% 85.62/85.62  thf(sP52,plain,sP52 <=> ((~(((~((sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP52])])).
% 85.62/85.62  thf(sP53,plain,sP53 <=> (sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP53])])).
% 85.62/85.62  thf(sP54,plain,sP54 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP54])])).
% 85.62/85.62  thf(sP55,plain,sP55 <=> (sP14 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP55])])).
% 85.62/85.62  thf(sP56,plain,sP56 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP56])])).
% 85.62/85.62  thf(sP57,plain,sP57 <=> ((~(((~((sP26 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP57])])).
% 85.62/85.62  thf(sP58,plain,sP58 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP25),introduced(definition,[new_symbols(definition,[sP58])])).
% 85.62/85.62  thf(sP59,plain,sP59 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP59])])).
% 85.62/85.62  thf(sP60,plain,sP60 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP38))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP60])])).
% 85.62/85.62  thf(sP61,plain,sP61 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP61])])).
% 85.62/85.62  thf(sP62,plain,sP62 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP62])])).
% 85.62/85.62  thf(sP63,plain,sP63 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP14 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP63])])).
% 85.62/85.62  thf(sP64,plain,sP64 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))),introduced(definition,[new_symbols(definition,[sP64])])).
% 85.62/85.62  thf(sP65,plain,sP65 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP65])])).
% 85.62/85.62  thf(sP66,plain,sP66 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP66])])).
% 85.62/85.62  thf(sP67,plain,sP67 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP67])])).
% 85.62/85.62  thf(sP68,plain,sP68 <=> ((~((sP13 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP68])])).
% 85.62/85.62  thf(sP69,plain,sP69 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP69])])).
% 85.62/85.62  thf(sP70,plain,sP70 <=> (((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP70])])).
% 85.62/85.62  thf(sP71,plain,sP71 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP71])])).
% 85.62/85.62  thf(sP72,plain,sP72 <=> ((~((sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP72])])).
% 85.62/85.62  thf(sP73,plain,sP73 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP73])])).
% 85.62/85.62  thf(sP74,plain,sP74 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP74])])).
% 85.62/85.62  thf(sP75,plain,sP75 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP75])])).
% 85.62/85.62  thf(sP76,plain,sP76 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP76])])).
% 85.62/85.62  thf(sP77,plain,sP77 <=> (sP44 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP77])])).
% 85.62/85.62  thf(sP78,plain,sP78 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP54))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP78])])).
% 85.62/85.62  thf(sP79,plain,sP79 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP79])])).
% 85.62/85.62  thf(sP80,plain,sP80 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => sP15),introduced(definition,[new_symbols(definition,[sP80])])).
% 85.62/85.62  thf(sP81,plain,sP81 <=> (![X1:$i]:((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP81])])).
% 85.62/85.62  thf(sP82,plain,sP82 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP82])])).
% 85.62/85.62  thf(sP83,plain,sP83 <=> (((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP83])])).
% 85.62/85.62  thf(sP84,plain,sP84 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP84])])).
% 85.62/85.62  thf(sP85,plain,sP85 <=> ((~((sP61 => (~(sP44))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP85])])).
% 85.62/85.62  thf(sP86,plain,sP86 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP86])])).
% 85.62/85.62  thf(sP87,plain,sP87 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP87])])).
% 85.62/85.62  thf(sP88,plain,sP88 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP88])])).
% 85.62/85.62  thf(sP89,plain,sP89 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP89])])).
% 85.62/85.62  thf(sP90,plain,sP90 <=> (![X1:$i]:((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP88))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP90])])).
% 85.62/85.62  thf(sP91,plain,sP91 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP91])])).
% 85.62/85.62  thf(sP92,plain,sP92 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP92])])).
% 85.62/85.62  thf(sP93,plain,sP93 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP93])])).
% 85.62/85.62  thf(sP94,plain,sP94 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP94])])).
% 85.62/85.62  thf(sP95,plain,sP95 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP14))),introduced(definition,[new_symbols(definition,[sP95])])).
% 85.62/85.62  thf(sP96,plain,sP96 <=> ((~((sP61 => (~(sP35))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP96])])).
% 85.62/85.62  thf(sP97,plain,sP97 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP97])])).
% 85.62/85.62  thf(sP98,plain,sP98 <=> ((~((sP14 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP26))),introduced(definition,[new_symbols(definition,[sP98])])).
% 85.62/85.62  thf(sP99,plain,sP99 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP99])])).
% 85.62/85.62  thf(sP100,plain,sP100 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP100])])).
% 85.62/85.62  thf(sP101,plain,sP101 <=> ((~(((~((eigen__1 = (eigen__0 @ eigen__1)))) => ((r @ eigen__1) @ (eigen__0 @ eigen__1))))) => sP13),introduced(definition,[new_symbols(definition,[sP101])])).
% 85.62/85.62  thf(sP102,plain,sP102 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP44))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP102])])).
% 85.62/85.62  thf(sP103,plain,sP103 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((b @ eigen__1) @ X1) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP103])])).
% 85.62/85.62  thf(sP104,plain,sP104 <=> ((~(sP4)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP104])])).
% 85.62/85.62  thf(sP105,plain,sP105 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP105])])).
% 85.62/85.62  thf(sP106,plain,sP106 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => sP61))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP106])])).
% 85.62/85.62  thf(sP107,plain,sP107 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP51))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP107])])).
% 85.62/85.62  thf(sP108,plain,sP108 <=> (sP14 => (~(sP88))),introduced(definition,[new_symbols(definition,[sP108])])).
% 85.62/85.62  thf(sP109,plain,sP109 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP109])])).
% 85.62/85.62  thf(sP110,plain,sP110 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP110])])).
% 85.62/85.62  thf(sP111,plain,sP111 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP111])])).
% 85.62/85.62  thf(sP112,plain,sP112 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP112])])).
% 85.62/85.62  thf(sP113,plain,sP113 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP113])])).
% 85.62/85.62  thf(sP114,plain,sP114 <=> ((~(((eigen__0 @ eigen__1) = eigen__1))) => sP113),introduced(definition,[new_symbols(definition,[sP114])])).
% 85.62/85.62  thf(sP115,plain,sP115 <=> ((~(sP68)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP115])])).
% 85.62/85.62  thf(sP116,plain,sP116 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP116])])).
% 85.62/85.62  thf(sP117,plain,sP117 <=> (![X1:$i]:((~(sP68)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP117])])).
% 85.62/85.62  thf(sP118,plain,sP118 <=> ((~((sP26 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP118])])).
% 85.62/85.62  thf(sP119,plain,sP119 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP119])])).
% 85.62/85.62  thf(sP120,plain,sP120 <=> (![X1:$i]:((~(((~(sP97)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP120])])).
% 85.62/85.62  thf(sP121,plain,sP121 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP20),introduced(definition,[new_symbols(definition,[sP121])])).
% 85.62/85.62  thf(sP122,plain,sP122 <=> (sP67 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP122])])).
% 85.62/85.62  thf(sP123,plain,sP123 <=> ((~(((~(sP15)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))) => sP14),introduced(definition,[new_symbols(definition,[sP123])])).
% 85.62/85.62  thf(sP124,plain,sP124 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP88))),introduced(definition,[new_symbols(definition,[sP124])])).
% 85.62/85.62  thf(sP125,plain,sP125 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1))) => sP22),introduced(definition,[new_symbols(definition,[sP125])])).
% 85.62/85.62  thf(sP126,plain,sP126 <=> (sP100 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP126])])).
% 85.62/85.62  thf(sP127,plain,sP127 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP25))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP127])])).
% 85.62/85.62  thf(sP128,plain,sP128 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP128])])).
% 85.62/85.62  thf(sP129,plain,sP129 <=> ((~(sP47)) => (~(sP51))),introduced(definition,[new_symbols(definition,[sP129])])).
% 85.62/85.62  thf(sP130,plain,sP130 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP130])])).
% 85.62/85.62  thf(sP131,plain,sP131 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP131])])).
% 85.62/85.62  thf(sP132,plain,sP132 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP100))),introduced(definition,[new_symbols(definition,[sP132])])).
% 85.62/85.62  thf(sP133,plain,sP133 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP133])])).
% 85.62/85.62  thf(sP134,plain,sP134 <=> (![X1:$i]:((~(((~(sP18)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP134])])).
% 85.62/85.62  thf(sP135,plain,sP135 <=> (sP35 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP135])])).
% 85.62/85.62  thf(sP136,plain,sP136 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP136])])).
% 85.62/85.62  thf(sP137,plain,sP137 <=> ((~(((~(sP89)) => (~(sP133))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP137])])).
% 85.62/85.62  thf(sP138,plain,sP138 <=> (sP111 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP138])])).
% 85.62/85.62  thf(sP139,plain,sP139 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP139])])).
% 85.62/85.62  thf(sP140,plain,sP140 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP140])])).
% 85.62/85.62  thf(sP141,plain,sP141 <=> ((~(((~((sP38 => (~(sP14))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP141])])).
% 85.62/85.62  thf(sP142,plain,sP142 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP142])])).
% 85.62/85.62  thf(sP143,plain,sP143 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => sP111),introduced(definition,[new_symbols(definition,[sP143])])).
% 85.62/85.62  thf(sP144,plain,sP144 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = (eigen__0 @ X1)) => (eigen__1 = X1))),introduced(definition,[new_symbols(definition,[sP144])])).
% 85.62/85.62  thf(sP145,plain,sP145 <=> ((~(sP19)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP145])])).
% 85.62/85.62  thf(sP146,plain,sP146 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP146])])).
% 85.62/85.62  thf(sP147,plain,sP147 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP147])])).
% 85.62/85.62  thf(sP148,plain,sP148 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP148])])).
% 85.62/85.62  thf(sP149,plain,sP149 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP100))),introduced(definition,[new_symbols(definition,[sP149])])).
% 85.62/85.62  thf(sP150,plain,sP150 <=> ((~(sP98)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP150])])).
% 85.62/85.62  thf(sP151,plain,sP151 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP151])])).
% 85.62/85.62  thf(sP152,plain,sP152 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP26))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP152])])).
% 85.62/85.62  thf(sP153,plain,sP153 <=> ((~(((~(sP55)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP153])])).
% 85.62/85.62  thf(sP154,plain,sP154 <=> ((~((sP26 => (~(sP99))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP154])])).
% 85.62/85.62  thf(sP155,plain,sP155 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP35),introduced(definition,[new_symbols(definition,[sP155])])).
% 85.62/85.62  thf(sP156,plain,sP156 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP156])])).
% 85.62/85.62  thf(sP157,plain,sP157 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP133))))) => (~(sP99))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP157])])).
% 85.62/85.62  thf(sP158,plain,sP158 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP158])])).
% 85.62/85.62  thf(sP159,plain,sP159 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP159])])).
% 85.62/85.62  thf(sP160,plain,sP160 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP38))),introduced(definition,[new_symbols(definition,[sP160])])).
% 85.62/85.62  thf(sP161,plain,sP161 <=> ((~(sP87)) => sP54),introduced(definition,[new_symbols(definition,[sP161])])).
% 85.62/85.62  thf(sP162,plain,sP162 <=> ((~((sP158 => (~(sP17))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP162])])).
% 85.62/85.62  thf(sP163,plain,sP163 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP163])])).
% 85.62/85.62  thf(sP164,plain,sP164 <=> ((~(((~(sP69)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP130))),introduced(definition,[new_symbols(definition,[sP164])])).
% 85.62/85.62  thf(sP165,plain,sP165 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP165])])).
% 85.62/85.62  thf(sP166,plain,sP166 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP109))),introduced(definition,[new_symbols(definition,[sP166])])).
% 85.62/85.62  thf(sP167,plain,sP167 <=> ((~(sP69)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP167])])).
% 85.62/85.62  thf(sP168,plain,sP168 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP35))),introduced(definition,[new_symbols(definition,[sP168])])).
% 85.62/85.62  thf(sP169,plain,sP169 <=> ((~((sP16 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP169])])).
% 85.62/85.62  thf(sP170,plain,sP170 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP170])])).
% 85.62/85.62  thf(sP171,plain,sP171 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP171])])).
% 85.62/85.62  thf(sP172,plain,sP172 <=> (sP26 => (~(sP99))),introduced(definition,[new_symbols(definition,[sP172])])).
% 85.62/85.62  thf(sP173,plain,sP173 <=> (![X1:$i]:((~(((~(sP70)) => (~(sP26))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP173])])).
% 85.62/85.62  thf(sP174,plain,sP174 <=> (sP71 => (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP174])])).
% 85.62/85.62  thf(sP175,plain,sP175 <=> ((~(sP166)) => (~(sP111))),introduced(definition,[new_symbols(definition,[sP175])])).
% 85.62/85.62  thf(sP176,plain,sP176 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP113))),introduced(definition,[new_symbols(definition,[sP176])])).
% 85.62/85.62  thf(sP177,plain,sP177 <=> ((~(sP163)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP177])])).
% 85.62/85.62  thf(sP178,plain,sP178 <=> ((~((sP14 => (~(sP38))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP178])])).
% 85.62/85.62  thf(sP179,plain,sP179 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP179])])).
% 85.62/85.62  thf(sP180,plain,sP180 <=> (((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP179))),introduced(definition,[new_symbols(definition,[sP180])])).
% 85.62/85.62  thf(sP181,plain,sP181 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP181])])).
% 85.62/85.62  thf(sP182,plain,sP182 <=> (![X1:$i]:((~(sP72)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP182])])).
% 85.62/85.62  thf(sP183,plain,sP183 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP183])])).
% 85.62/85.62  thf(sP184,plain,sP184 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => sP159),introduced(definition,[new_symbols(definition,[sP184])])).
% 85.62/85.62  thf(sP185,plain,sP185 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP185])])).
% 85.62/85.62  thf(sP186,plain,sP186 <=> ((~((sP156 => (~(sP16))))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP186])])).
% 85.62/85.62  thf(sP187,plain,sP187 <=> (sP44 => (~(sP35))),introduced(definition,[new_symbols(definition,[sP187])])).
% 85.62/85.62  thf(sP188,plain,sP188 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP188])])).
% 85.62/85.62  thf(sP189,plain,sP189 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP189])])).
% 85.62/85.62  thf(sP190,plain,sP190 <=> ((~(((~(sP180)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP190])])).
% 85.62/85.62  thf(sP191,plain,sP191 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP191])])).
% 85.62/85.62  thf(sP192,plain,sP192 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP192])])).
% 85.62/85.62  thf(sP193,plain,sP193 <=> ((~(sP135)) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP193])])).
% 85.62/85.62  thf(sP194,plain,sP194 <=> ((~(sP72)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP194])])).
% 85.62/85.62  thf(sP195,plain,sP195 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP195])])).
% 85.62/85.62  thf(sP196,plain,sP196 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP196])])).
% 85.62/85.62  thf(sP197,plain,sP197 <=> (![X1:$i]:((~(((~(sP55)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP197])])).
% 85.62/85.62  thf(sP198,plain,sP198 <=> ((~(sP184)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP198])])).
% 85.62/85.62  thf(sP199,plain,sP199 <=> (sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP199])])).
% 85.62/85.62  thf(sP200,plain,sP200 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP14))))) => (~(sP50))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP200])])).
% 85.62/85.62  thf(sP201,plain,sP201 <=> (sP196 => (~(sP133))),introduced(definition,[new_symbols(definition,[sP201])])).
% 85.62/85.62  thf(sP202,plain,sP202 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP202])])).
% 85.62/85.62  thf(sP203,plain,sP203 <=> (sP119 => sP71),introduced(definition,[new_symbols(definition,[sP203])])).
% 85.62/85.62  thf(sP204,plain,sP204 <=> (sP13 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP204])])).
% 85.62/85.62  thf(sP205,plain,sP205 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP13 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP205])])).
% 85.62/85.62  thf(sP206,plain,sP206 <=> (sP179 => (~(sP196))),introduced(definition,[new_symbols(definition,[sP206])])).
% 85.62/85.62  thf(sP207,plain,sP207 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP207])])).
% 85.62/85.62  thf(sP208,plain,sP208 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP208])])).
% 85.62/85.62  thf(sP209,plain,sP209 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP209])])).
% 85.62/85.62  thf(sP210,plain,sP210 <=> ((~(sP148)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP210])])).
% 85.62/85.62  thf(sP211,plain,sP211 <=> ((~(sP40)) => (~(sP111))),introduced(definition,[new_symbols(definition,[sP211])])).
% 85.62/85.62  thf(sP212,plain,sP212 <=> (sP44 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP212])])).
% 85.62/85.62  thf(sP213,plain,sP213 <=> ((~(((~(sP160)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP213])])).
% 85.62/85.62  thf(sP214,plain,sP214 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP214])])).
% 85.62/85.62  thf(sP215,plain,sP215 <=> (![X1:$i]:((~(((~(sP188)) => (~(sP38))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP215])])).
% 85.62/85.62  thf(sP216,plain,sP216 <=> (sP195 => (~(sP44))),introduced(definition,[new_symbols(definition,[sP216])])).
% 85.62/85.62  thf(sP217,plain,sP217 <=> ((~(sP20)) => sP41),introduced(definition,[new_symbols(definition,[sP217])])).
% 85.62/85.62  thf(sP218,plain,sP218 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP218])])).
% 85.62/85.62  thf(sP219,plain,sP219 <=> ((~(sP192)) => (~(sP35))),introduced(definition,[new_symbols(definition,[sP219])])).
% 85.62/85.62  thf(sP220,plain,sP220 <=> ((~(sP114)) => sP196),introduced(definition,[new_symbols(definition,[sP220])])).
% 85.62/85.62  thf(sP221,plain,sP221 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => sP158))) => sP46),introduced(definition,[new_symbols(definition,[sP221])])).
% 85.62/85.62  thf(sP222,plain,sP222 <=> (sP158 => (~(sP17))),introduced(definition,[new_symbols(definition,[sP222])])).
% 85.62/85.62  thf(sP223,plain,sP223 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP223])])).
% 85.62/85.62  thf(sP224,plain,sP224 <=> (![X1:$i]:((~(((~(sP124)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP224])])).
% 85.62/85.62  thf(sP225,plain,sP225 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP225])])).
% 85.62/85.62  thf(sP226,plain,sP226 <=> ((~(sP180)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP226])])).
% 85.62/85.62  thf(sP227,plain,sP227 <=> ((~(sP155)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP227])])).
% 85.62/85.62  thf(sP228,plain,sP228 <=> ((~(sP15)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP228])])).
% 85.62/85.62  thf(sP229,plain,sP229 <=> ((~((sP51 => (~(sP111))))) => (~(sP195))),introduced(definition,[new_symbols(definition,[sP229])])).
% 85.62/85.62  thf(sP230,plain,sP230 <=> (sP41 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP230])])).
% 85.62/85.62  thf(sP231,plain,sP231 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP26 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP231])])).
% 85.62/85.62  thf(sP232,plain,sP232 <=> ((~((sP113 => (~(sP189))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP232])])).
% 85.62/85.62  thf(sP233,plain,sP233 <=> ((~(sP151)) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP233])])).
% 85.62/85.62  thf(sP234,plain,sP234 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP234])])).
% 85.62/85.62  thf(sP235,plain,sP235 <=> ((~(((~(sP94)) => sP44))) => sP88),introduced(definition,[new_symbols(definition,[sP235])])).
% 85.62/85.62  thf(sP236,plain,sP236 <=> ((~(sP5)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP236])])).
% 85.62/85.62  thf(sP237,plain,sP237 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP14))))) => (~(sP46))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP237])])).
% 85.62/85.62  thf(sP238,plain,sP238 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP100),introduced(definition,[new_symbols(definition,[sP238])])).
% 85.62/85.62  thf(sP239,plain,sP239 <=> (sP110 => (~(sP158))),introduced(definition,[new_symbols(definition,[sP239])])).
% 85.62/85.62  thf(sP240,plain,sP240 <=> ((~(sP43)) => (~(sP35))),introduced(definition,[new_symbols(definition,[sP240])])).
% 85.62/85.62  thf(sP241,plain,sP241 <=> ((~(sP176)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP241])])).
% 85.62/85.62  thf(sP242,plain,sP242 <=> (sP159 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP242])])).
% 85.62/85.62  thf(sP243,plain,sP243 <=> ((~((sP110 => (~(sP17))))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP243])])).
% 85.62/85.62  thf(sP244,plain,sP244 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP244])])).
% 85.62/85.62  thf(sP245,plain,sP245 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP51),introduced(definition,[new_symbols(definition,[sP245])])).
% 85.62/85.62  thf(sP246,plain,sP246 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP38))))) => (~(sP165))))) => (~(sP196))),introduced(definition,[new_symbols(definition,[sP246])])).
% 85.62/85.62  thf(sP247,plain,sP247 <=> ((~((sP16 => (~(sP208))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP247])])).
% 85.62/85.62  thf(sP248,plain,sP248 <=> (![X1:$i]:((~(((~(sP89)) => (~(sP133))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP248])])).
% 85.62/85.62  thf(sP249,plain,sP249 <=> (sP195 => (~(sP61))),introduced(definition,[new_symbols(definition,[sP249])])).
% 85.62/85.62  thf(sP250,plain,sP250 <=> ((~(sP108)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP250])])).
% 85.62/85.62  thf(sP251,plain,sP251 <=> (![X1:$i]:((~(sP167)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP251])])).
% 85.62/85.62  thf(sP252,plain,sP252 <=> (sP183 => sP93),introduced(definition,[new_symbols(definition,[sP252])])).
% 85.62/85.62  thf(sP253,plain,sP253 <=> (![X1:$i]:((~(((~(sP206)) => (~(sP50))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP253])])).
% 85.62/85.62  thf(sP254,plain,sP254 <=> (![X1:$i]:((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP13))))) => (~(sP165))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP254])])).
% 85.62/85.62  thf(sP255,plain,sP255 <=> ((~(sP218)) => sP16),introduced(definition,[new_symbols(definition,[sP255])])).
% 85.62/85.62  thf(sP256,plain,sP256 <=> ((~(sP204)) => (~(sP179))),introduced(definition,[new_symbols(definition,[sP256])])).
% 85.62/85.62  thf(sP257,plain,sP257 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP257])])).
% 85.62/85.62  thf(sP258,plain,sP258 <=> (![X1:$i]:(![X2:$i]:((~((((r @ eigen__1) @ X1) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP258])])).
% 85.62/85.62  thf(sP259,plain,sP259 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP259])])).
% 85.62/85.62  thf(sP260,plain,sP260 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))),introduced(definition,[new_symbols(definition,[sP260])])).
% 85.62/85.62  thf(sP261,plain,sP261 <=> (sP51 => (~(sP111))),introduced(definition,[new_symbols(definition,[sP261])])).
% 85.62/85.62  thf(sP262,plain,sP262 <=> ((~(sP126)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP262])])).
% 85.62/85.62  thf(sP263,plain,sP263 <=> ((~(sP188)) => (~(sP38))),introduced(definition,[new_symbols(definition,[sP263])])).
% 85.62/85.62  thf(sP264,plain,sP264 <=> ((~(sP65)) => (~(sP179))),introduced(definition,[new_symbols(definition,[sP264])])).
% 85.62/85.62  thf(sP265,plain,sP265 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP265])])).
% 85.62/85.62  thf(sP266,plain,sP266 <=> (sP66 => sP20),introduced(definition,[new_symbols(definition,[sP266])])).
% 85.62/85.62  thf(sP267,plain,sP267 <=> (![X1:$i]:((~((sP159 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP267])])).
% 85.62/85.62  thf(sP268,plain,sP268 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP44))),introduced(definition,[new_symbols(definition,[sP268])])).
% 85.62/85.62  thf(sP269,plain,sP269 <=> ((~(sP66)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP269])])).
% 85.62/85.62  thf(sP270,plain,sP270 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP270])])).
% 85.62/85.62  thf(sP271,plain,sP271 <=> ((~((sP16 => (~(sP109))))) => (~(sP110))),introduced(definition,[new_symbols(definition,[sP271])])).
% 85.62/85.62  thf(sP272,plain,sP272 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP272])])).
% 85.62/85.62  thf(sP273,plain,sP273 <=> ((~((sP35 => (~(sP44))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP273])])).
% 85.62/85.62  thf(sP274,plain,sP274 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP14))))) => (~(sP50))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP274])])).
% 85.62/85.62  thf(sP275,plain,sP275 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)))) => sP195),introduced(definition,[new_symbols(definition,[sP275])])).
% 85.62/85.62  thf(sP276,plain,sP276 <=> ((~(sP119)) => sP17),introduced(definition,[new_symbols(definition,[sP276])])).
% 85.62/85.62  thf(sP277,plain,sP277 <=> ((~(sP154)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP277])])).
% 85.62/85.62  thf(sP278,plain,sP278 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP278])])).
% 85.62/85.62  thf(sP279,plain,sP279 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP14))))) => (~(sP46))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP279])])).
% 85.62/85.62  thf(sP280,plain,sP280 <=> ((~(sP98)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP280])])).
% 85.62/85.62  thf(sP281,plain,sP281 <=> ((~((sP109 => (~(sP208))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP281])])).
% 85.62/85.62  thf(sP282,plain,sP282 <=> (sP195 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP282])])).
% 85.62/85.62  thf(sP283,plain,sP283 <=> ((~(((~(sP259)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP283])])).
% 85.62/85.62  thf(sP284,plain,sP284 <=> ((~((sP38 => (~(sP14))))) => (~(sP196))),introduced(definition,[new_symbols(definition,[sP284])])).
% 85.62/85.62  thf(sP285,plain,sP285 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP285])])).
% 85.62/85.63  thf(sP286,plain,sP286 <=> ((~(sP239)) => (~(sP113))),introduced(definition,[new_symbols(definition,[sP286])])).
% 85.62/85.63  thf(sP287,plain,sP287 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP287])])).
% 85.62/85.63  thf(sP288,plain,sP288 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP288])])).
% 85.62/85.63  thf(sP289,plain,sP289 <=> ((~(sP89)) => (~(sP133))),introduced(definition,[new_symbols(definition,[sP289])])).
% 85.62/85.63  thf(sP290,plain,sP290 <=> (![X1:$i]:((~(((~(sP171)) => (~(sP14))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP290])])).
% 85.62/85.63  thf(sP291,plain,sP291 <=> (![X1:$i]:((~(sP264)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP291])])).
% 85.62/85.63  thf(sP292,plain,sP292 <=> ((~((sP195 => (~(sP35))))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP292])])).
% 85.62/85.63  thf(sP293,plain,sP293 <=> (sP87 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP293])])).
% 85.62/85.63  thf(sP294,plain,sP294 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP294])])).
% 85.62/85.63  thf(sP295,plain,sP295 <=> (![X1:$i]:((~(sP154)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP295])])).
% 85.62/85.63  thf(sP296,plain,sP296 <=> (sP109 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP296])])).
% 85.62/85.63  thf(sP297,plain,sP297 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => sP112),introduced(definition,[new_symbols(definition,[sP297])])).
% 85.62/85.63  thf(sP298,plain,sP298 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP298])])).
% 85.62/85.63  thf(sP299,plain,sP299 <=> ((~(sP256)) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP299])])).
% 85.62/85.63  thf(sP300,plain,sP300 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP300])])).
% 85.62/85.63  thf(sP301,plain,sP301 <=> (![X1:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP38))))) => (~(sP165))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP301])])).
% 85.62/85.63  thf(sP302,plain,sP302 <=> ((~(sP212)) => (~(sP22))),introduced(definition,[new_symbols(definition,[sP302])])).
% 85.62/85.63  thf(sP303,plain,sP303 <=> ((~(sP91)) => (~(sP195))),introduced(definition,[new_symbols(definition,[sP303])])).
% 85.62/85.63  thf(sP304,plain,sP304 <=> ((~(sP124)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP304])])).
% 85.62/85.63  thf(sP305,plain,sP305 <=> ((~(sP178)) => (~(sP196))),introduced(definition,[new_symbols(definition,[sP305])])).
% 85.62/85.63  thf(sP306,plain,sP306 <=> ((~(sP98)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP306])])).
% 85.62/85.63  thf(sP307,plain,sP307 <=> (![X1:$i]:((~(sP210)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP307])])).
% 85.62/85.63  thf(sP308,plain,sP308 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP308])])).
% 85.62/85.63  thf(sP309,plain,sP309 <=> ((~(sP206)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP309])])).
% 85.62/85.63  thf(sP310,plain,sP310 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP196 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP310])])).
% 85.62/85.63  thf(sP311,plain,sP311 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP13))))) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP311])])).
% 85.62/85.63  thf(sP312,plain,sP312 <=> (![X1:$i]:((~((sP61 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP312])])).
% 85.62/85.63  thf(sP313,plain,sP313 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP313])])).
% 85.62/85.63  thf(sP314,plain,sP314 <=> (![X1:$i]:((~((sP41 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP314])])).
% 85.62/85.63  thf(sP315,plain,sP315 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP38))))) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP315])])).
% 85.62/85.63  thf(sP316,plain,sP316 <=> ((~(sP53)) => (~(sP133))),introduced(definition,[new_symbols(definition,[sP316])])).
% 85.62/85.63  thf(sP317,plain,sP317 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP317])])).
% 85.62/85.63  thf(sP318,plain,sP318 <=> (![X1:$i]:((~(sP98)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP318])])).
% 85.62/85.63  thf(sP319,plain,sP319 <=> ((~(sP82)) => ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP319])])).
% 85.62/85.63  thf(sP320,plain,sP320 <=> ((~(sP83)) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP320])])).
% 85.62/85.63  thf(sP321,plain,sP321 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP321])])).
% 85.62/85.63  thf(sP322,plain,sP322 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP322])])).
% 85.62/85.63  thf(sP323,plain,sP323 <=> (sP100 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP323])])).
% 85.62/85.63  thf(sP324,plain,sP324 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP324])])).
% 85.62/85.63  thf(sP325,plain,sP325 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP325])])).
% 85.62/85.63  thf(sP326,plain,sP326 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP326])])).
% 85.62/85.63  thf(sP327,plain,sP327 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP327])])).
% 85.62/85.63  thf(sP328,plain,sP328 <=> ((~(sP94)) => sP44),introduced(definition,[new_symbols(definition,[sP328])])).
% 85.62/85.63  thf(sP329,plain,sP329 <=> (sP285 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP329])])).
% 85.62/85.63  thf(sP330,plain,sP330 <=> ((~(sP154)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP330])])).
% 85.62/85.63  thf(sP331,plain,sP331 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP331])])).
% 85.62/85.63  thf(sP332,plain,sP332 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP332])])).
% 85.62/85.63  thf(sP333,plain,sP333 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP333])])).
% 85.62/85.63  thf(sP334,plain,sP334 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP334])])).
% 85.62/85.63  thf(sP335,plain,sP335 <=> (sP61 => (~(sP44))),introduced(definition,[new_symbols(definition,[sP335])])).
% 85.62/85.63  thf(sP336,plain,sP336 <=> (sP208 => (~(sP308))),introduced(definition,[new_symbols(definition,[sP336])])).
% 85.62/85.63  thf(sP337,plain,sP337 <=> (![X1:$i]:((~((sP195 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP337])])).
% 85.62/85.63  thf(sP338,plain,sP338 <=> (sP13 => (~(sP99))),introduced(definition,[new_symbols(definition,[sP338])])).
% 85.62/85.63  thf(sP339,plain,sP339 <=> (sP14 => (~(sP38))),introduced(definition,[new_symbols(definition,[sP339])])).
% 85.62/85.63  thf(sP340,plain,sP340 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP340])])).
% 85.62/85.63  thf(sP341,plain,sP341 <=> (![X1:$i]:((~((sP35 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP341])])).
% 85.62/85.63  thf(sP342,plain,sP342 <=> (![X1:$i]:((~(((~(sP199)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP342])])).
% 85.62/85.63  thf(sP343,plain,sP343 <=> ((~(sP187)) => (~(sP100))),introduced(definition,[new_symbols(definition,[sP343])])).
% 85.62/85.63  thf(sP344,plain,sP344 <=> (sP38 => (~(sP14))),introduced(definition,[new_symbols(definition,[sP344])])).
% 85.62/85.63  thf(sP345,plain,sP345 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP345])])).
% 85.62/85.63  thf(sP346,plain,sP346 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP346])])).
% 85.62/85.63  thf(sP347,plain,sP347 <=> ((~(sP71)) => sP313),introduced(definition,[new_symbols(definition,[sP347])])).
% 85.62/85.63  thf(sP348,plain,sP348 <=> ((~(sP112)) => sP61),introduced(definition,[new_symbols(definition,[sP348])])).
% 85.62/85.63  thf(sP349,plain,sP349 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP349])])).
% 85.62/85.63  thf(sP350,plain,sP350 <=> (sP313 => (~(sP189))),introduced(definition,[new_symbols(definition,[sP350])])).
% 85.62/85.63  thf(sP351,plain,sP351 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))),introduced(definition,[new_symbols(definition,[sP351])])).
% 85.62/85.63  thf(sP352,plain,sP352 <=> (sP16 => (~(sP109))),introduced(definition,[new_symbols(definition,[sP352])])).
% 85.62/85.63  thf(sP353,plain,sP353 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP353])])).
% 85.62/85.63  thf(sP354,plain,sP354 <=> ((~(sP207)) => sP110),introduced(definition,[new_symbols(definition,[sP354])])).
% 85.62/85.63  thf(sP355,plain,sP355 <=> (![X1:$i]:((~(sP284)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP355])])).
% 85.62/85.63  thf(sP356,plain,sP356 <=> ((~(((~(sP67)) => sP208))) => sP99),introduced(definition,[new_symbols(definition,[sP356])])).
% 85.62/85.63  thf(sP357,plain,sP357 <=> ((~(sP315)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP357])])).
% 85.62/85.63  thf(sP358,plain,sP358 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP26))))) => (~(sP349))))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP358])])).
% 85.62/85.63  thf(sP359,plain,sP359 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP359])])).
% 85.62/85.63  thf(sP360,plain,sP360 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP26))))) => (~(sP349))),introduced(definition,[new_symbols(definition,[sP360])])).
% 85.62/85.63  thf(sP361,plain,sP361 <=> ((~(sP199)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP361])])).
% 85.62/85.63  thf(sP362,plain,sP362 <=> ((~(sP249)) => (~(sP321))),introduced(definition,[new_symbols(definition,[sP362])])).
% 85.62/85.63  thf(sP363,plain,sP363 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP14))),introduced(definition,[new_symbols(definition,[sP363])])).
% 85.62/85.63  thf(sP364,plain,sP364 <=> ((~(sP3)) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP364])])).
% 85.62/85.63  thf(sP365,plain,sP365 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP365])])).
% 85.62/85.63  thf(sP366,plain,sP366 <=> (![X1:$i]:((~((sP208 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP366])])).
% 85.62/85.63  thf(sP367,plain,sP367 <=> (![X1:$i]:((~(((~(sP363)) => (~(sP50))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP367])])).
% 85.62/85.63  thf(sP368,plain,sP368 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP368])])).
% 85.62/85.63  thf(sP369,plain,sP369 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP369])])).
% 85.62/85.63  thf(sP370,plain,sP370 <=> ((~(sP276)) => sP332),introduced(definition,[new_symbols(definition,[sP370])])).
% 85.62/85.63  thf(sP371,plain,sP371 <=> ((~(sP304)) => (~(sP327))),introduced(definition,[new_symbols(definition,[sP371])])).
% 85.62/85.63  thf(sP372,plain,sP372 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP372])])).
% 85.62/85.63  thf(sP373,plain,sP373 <=> ((~((sP61 => (~(sP195))))) => (~(sP110))),introduced(definition,[new_symbols(definition,[sP373])])).
% 85.62/85.63  thf(sP374,plain,sP374 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP374])])).
% 85.62/85.63  thf(sP375,plain,sP375 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP38))),introduced(definition,[new_symbols(definition,[sP375])])).
% 85.62/85.63  thf(sP376,plain,sP376 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)) => sP15),introduced(definition,[new_symbols(definition,[sP376])])).
% 85.62/85.63  thf(sP377,plain,sP377 <=> ((~(sP67)) => sP208),introduced(definition,[new_symbols(definition,[sP377])])).
% 85.62/85.63  thf(sP378,plain,sP378 <=> ((~(sP160)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP378])])).
% 85.62/85.63  thf(sP379,plain,sP379 <=> ((~(sP311)) => (~(sP196))),introduced(definition,[new_symbols(definition,[sP379])])).
% 85.62/85.63  thf(sP380,plain,sP380 <=> ((~(sP77)) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP380])])).
% 85.62/85.63  thf(sP381,plain,sP381 <=> (sP26 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP381])])).
% 85.62/85.63  thf(sP382,plain,sP382 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP382])])).
% 85.62/85.63  thf(sP383,plain,sP383 <=> (sP112 => sP207),introduced(definition,[new_symbols(definition,[sP383])])).
% 85.62/85.63  thf(sP384,plain,sP384 <=> (sP109 => (~(sP208))),introduced(definition,[new_symbols(definition,[sP384])])).
% 85.62/85.63  thf(sP385,plain,sP385 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP99))))) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP385])])).
% 85.62/85.63  thf(sP386,plain,sP386 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP386])])).
% 85.62/85.63  thf(sP387,plain,sP387 <=> ((~(sP143)) => sP165),introduced(definition,[new_symbols(definition,[sP387])])).
% 85.62/85.63  thf(sP388,plain,sP388 <=> ((~(sP171)) => (~(sP14))),introduced(definition,[new_symbols(definition,[sP388])])).
% 85.62/85.63  thf(sP389,plain,sP389 <=> ((~(((~(sP363)) => (~(sP50))))) => (~(sP26))),introduced(definition,[new_symbols(definition,[sP389])])).
% 85.62/85.63  thf(sP390,plain,sP390 <=> ((~(sP363)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP390])])).
% 85.62/85.63  thf(sP391,plain,sP391 <=> ((~(sP354)) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP391])])).
% 85.62/85.63  thf(sP392,plain,sP392 <=> ((~(sP311)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP392])])).
% 85.62/85.63  thf(sP393,plain,sP393 <=> ((~(sP201)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP393])])).
% 85.62/85.63  thf(sP394,plain,sP394 <=> (sP113 => (~(sP189))),introduced(definition,[new_symbols(definition,[sP394])])).
% 85.62/85.63  thf(sP395,plain,sP395 <=> ((~(sP116)) => sP133),introduced(definition,[new_symbols(definition,[sP395])])).
% 85.62/85.63  thf(sP396,plain,sP396 <=> ((~(sP250)) => (~(sP130))),introduced(definition,[new_symbols(definition,[sP396])])).
% 85.62/85.63  thf(sP397,plain,sP397 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP397])])).
% 85.62/85.63  thf(sP398,plain,sP398 <=> ((~(sP300)) => sP202),introduced(definition,[new_symbols(definition,[sP398])])).
% 85.62/85.63  thf(sP399,plain,sP399 <=> (sP195 => (~(sP35))),introduced(definition,[new_symbols(definition,[sP399])])).
% 85.62/85.63  thf(sP400,plain,sP400 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP400])])).
% 85.62/85.63  thf(sP401,plain,sP401 <=> (sP382 => (~(sP14))),introduced(definition,[new_symbols(definition,[sP401])])).
% 85.62/85.63  thf(sP402,plain,sP402 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))),introduced(definition,[new_symbols(definition,[sP402])])).
% 85.62/85.63  thf(sP403,plain,sP403 <=> (sP308 => (~(sP156))),introduced(definition,[new_symbols(definition,[sP403])])).
% 85.62/85.63  thf(sP404,plain,sP404 <=> ((~(sP345)) => sP288),introduced(definition,[new_symbols(definition,[sP404])])).
% 85.62/85.63  thf(sP405,plain,sP405 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP405])])).
% 85.62/85.63  thf(sP406,plain,sP406 <=> ((~(sP353)) => (~(sP349))),introduced(definition,[new_symbols(definition,[sP406])])).
% 85.62/85.63  thf(sP407,plain,sP407 <=> (sP207 => sP272),introduced(definition,[new_symbols(definition,[sP407])])).
% 85.62/85.63  thf(sP408,plain,sP408 <=> ((~(sP275)) => sP38),introduced(definition,[new_symbols(definition,[sP408])])).
% 85.62/85.63  thf(sP409,plain,sP409 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP409])])).
% 85.62/85.63  thf(sP410,plain,sP410 <=> (sP100 => (~(sP22))),introduced(definition,[new_symbols(definition,[sP410])])).
% 85.62/85.63  thf(sP411,plain,sP411 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))),introduced(definition,[new_symbols(definition,[sP411])])).
% 85.62/85.63  thf(sP412,plain,sP412 <=> (sP16 => (~(sP308))),introduced(definition,[new_symbols(definition,[sP412])])).
% 85.62/85.63  thf(sP413,plain,sP413 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP413])])).
% 85.62/85.63  thf(sP414,plain,sP414 <=> ((~(sP209)) => ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP414])])).
% 85.62/85.63  thf(sP415,plain,sP415 <=> (sP147 => sP272),introduced(definition,[new_symbols(definition,[sP415])])).
% 85.62/85.63  thf(sP416,plain,sP416 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP416])])).
% 85.62/85.63  thf(sP417,plain,sP417 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP417])])).
% 85.62/85.63  thf(sP418,plain,sP418 <=> ((~(sP177)) => (~(sP38))),introduced(definition,[new_symbols(definition,[sP418])])).
% 85.62/85.63  thf(sP419,plain,sP419 <=> (![X1:$i]:((~((sP158 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP419])])).
% 85.62/85.63  thf(sP420,plain,sP420 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP420])])).
% 85.62/85.63  thf(sP421,plain,sP421 <=> ((~(sP401)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP421])])).
% 85.62/85.63  thf(sP422,plain,sP422 <=> ((~(sP62)) => (~(sP113))),introduced(definition,[new_symbols(definition,[sP422])])).
% 85.62/85.63  thf(sP423,plain,sP423 <=> ((~(sP361)) => (~(sP332))),introduced(definition,[new_symbols(definition,[sP423])])).
% 85.62/85.63  thf(sP424,plain,sP424 <=> (sP397 => sP324),introduced(definition,[new_symbols(definition,[sP424])])).
% 85.62/85.63  thf(sP425,plain,sP425 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP425])])).
% 85.62/85.63  thf(sP426,plain,sP426 <=> ((~(sP97)) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP426])])).
% 85.62/85.63  thf(sP427,plain,sP427 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP427])])).
% 85.62/85.63  thf(sP428,plain,sP428 <=> ((~(sP147)) => sP109),introduced(definition,[new_symbols(definition,[sP428])])).
% 85.62/85.63  thf(sP429,plain,sP429 <=> (![X1:$i]:((~((sP51 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP429])])).
% 85.62/85.63  thf(sP430,plain,sP430 <=> ((~(sP259)) => sP321),introduced(definition,[new_symbols(definition,[sP430])])).
% 85.62/85.63  thf(sP431,plain,sP431 <=> (sP110 => (~(sP17))),introduced(definition,[new_symbols(definition,[sP431])])).
% 85.62/85.63  thf(sP432,plain,sP432 <=> ((~(sP269)) => sP214),introduced(definition,[new_symbols(definition,[sP432])])).
% 85.62/85.63  thf(sP433,plain,sP433 <=> ((~(sP403)) => (~(sP51))),introduced(definition,[new_symbols(definition,[sP433])])).
% 85.62/85.63  thf(sP434,plain,sP434 <=> (sP156 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP434])])).
% 85.62/85.63  thf(sP435,plain,sP435 <=> ((~(sP426)) => (~(sP400))),introduced(definition,[new_symbols(definition,[sP435])])).
% 85.62/85.63  thf(sP436,plain,sP436 <=> ((~(sP263)) => (~(sP179))),introduced(definition,[new_symbols(definition,[sP436])])).
% 85.62/85.63  thf(sP437,plain,sP437 <=> (sP93 => sP265),introduced(definition,[new_symbols(definition,[sP437])])).
% 85.62/85.63  thf(sP438,plain,sP438 <=> (sP35 => (~(sP44))),introduced(definition,[new_symbols(definition,[sP438])])).
% 85.62/85.63  thf(sP439,plain,sP439 <=> ((~(sP287)) => (~(sP88))),introduced(definition,[new_symbols(definition,[sP439])])).
% 85.62/85.63  thf(sP440,plain,sP440 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP440])])).
% 85.62/85.63  thf(sP441,plain,sP441 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP441])])).
% 85.62/85.63  thf(sP442,plain,sP442 <=> (![X1:$i]:((~((sP100 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP442])])).
% 85.62/85.63  thf(sP443,plain,sP443 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP443])])).
% 85.62/85.63  thf(sP444,plain,sP444 <=> (![X1:$i]:((~((sP110 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP444])])).
% 85.62/85.63  thf(sP445,plain,sP445 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP445])])).
% 85.62/85.63  thf(sP446,plain,sP446 <=> (![X1:$i]:((~((sP308 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP446])])).
% 85.62/85.63  thf(sP447,plain,sP447 <=> ((~(sP8)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP447])])).
% 85.62/85.63  thf(sP448,plain,sP448 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP448])])).
% 85.62/85.63  thf(sP449,plain,sP449 <=> (sP61 => (~(sP35))),introduced(definition,[new_symbols(definition,[sP449])])).
% 85.62/85.63  thf(sP450,plain,sP450 <=> (![X1:$i]:(![X2:$i]:((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP450])])).
% 85.62/85.63  thf(sP451,plain,sP451 <=> ((~(sP70)) => (~(sP26))),introduced(definition,[new_symbols(definition,[sP451])])).
% 85.62/85.63  thf(sP452,plain,sP452 <=> ((~(((~(sP18)) => (~(sP288))))) => (~(sP130))),introduced(definition,[new_symbols(definition,[sP452])])).
% 85.62/85.63  thf(sP453,plain,sP453 <=> ((~(sP250)) => (~(sP386))),introduced(definition,[new_symbols(definition,[sP453])])).
% 85.62/85.63  thf(sP454,plain,sP454 <=> ((~(sP255)) => sP26),introduced(definition,[new_symbols(definition,[sP454])])).
% 85.62/85.63  thf(sP455,plain,sP455 <=> (sP300 => sP448),introduced(definition,[new_symbols(definition,[sP455])])).
% 85.62/85.63  thf(sP456,plain,sP456 <=> ((~(sP128)) => sP441),introduced(definition,[new_symbols(definition,[sP456])])).
% 85.62/85.63  thf(sP457,plain,sP457 <=> ((~(sP210)) => (~(sP382))),introduced(definition,[new_symbols(definition,[sP457])])).
% 85.62/85.63  thf(sP458,plain,sP458 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP26))),introduced(definition,[new_symbols(definition,[sP458])])).
% 85.62/85.63  thf(sP459,plain,sP459 <=> (sP38 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP459])])).
% 85.62/85.63  thf(sP460,plain,sP460 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP460])])).
% 85.62/85.63  thf(sP461,plain,sP461 <=> (![X1:$i]:((~((sP313 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP461])])).
% 85.62/85.63  thf(sP462,plain,sP462 <=> ((~(sP451)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP462])])).
% 85.62/85.63  thf(sP463,plain,sP463 <=> ((~(sP388)) => (~(sP26))),introduced(definition,[new_symbols(definition,[sP463])])).
% 85.62/85.63  thf(sP464,plain,sP464 <=> (sP259 => sP147),introduced(definition,[new_symbols(definition,[sP464])])).
% 85.62/85.63  thf(sP465,plain,sP465 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP465])])).
% 85.62/85.63  thf(sP466,plain,sP466 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP466])])).
% 85.62/85.63  thf(sP467,plain,sP467 <=> ((~(sP304)) => (~(sP130))),introduced(definition,[new_symbols(definition,[sP467])])).
% 85.62/85.63  thf(sP468,plain,sP468 <=> (![X1:$i]:((~(sP385)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP468])])).
% 85.62/85.63  thf(sP469,plain,sP469 <=> ((~(sP296)) => (~(sP321))),introduced(definition,[new_symbols(definition,[sP469])])).
% 85.62/85.63  thf(sP470,plain,sP470 <=> (sP61 => (~(sP195))),introduced(definition,[new_symbols(definition,[sP470])])).
% 85.62/85.63  thf(sP471,plain,sP471 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP179 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP471])])).
% 85.62/85.63  thf(sP472,plain,sP472 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP472])])).
% 85.62/85.63  thf(sP473,plain,sP473 <=> ((~(sP323)) => (~(sP111))),introduced(definition,[new_symbols(definition,[sP473])])).
% 85.62/85.63  thf(sP474,plain,sP474 <=> (![X1:$i]:((~((sP44 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP474])])).
% 85.62/85.63  thf(sP475,plain,sP475 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP475])])).
% 85.62/85.63  thf(sP476,plain,sP476 <=> ((~(sP264)) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP476])])).
% 85.62/85.63  thf(sP477,plain,sP477 <=> ((~(sP410)) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP477])])).
% 85.62/85.63  thf(sP478,plain,sP478 <=> (![X1:$i]:((~((sP109 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP478])])).
% 85.62/85.63  thf(sP479,plain,sP479 <=> ((~(sP256)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP479])])).
% 85.62/85.63  thf(sP480,plain,sP480 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((r @ X1) @ X2) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP480])])).
% 85.62/85.63  thf(sP481,plain,sP481 <=> ((~(sP439)) => (~(sP130))),introduced(definition,[new_symbols(definition,[sP481])])).
% 85.62/85.63  thf(sP482,plain,sP482 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP482])])).
% 85.62/85.63  thf(sP483,plain,sP483 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP483])])).
% 85.62/85.63  thf(sP484,plain,sP484 <=> ((~(sP372)) => sP158),introduced(definition,[new_symbols(definition,[sP484])])).
% 85.62/85.63  thf(sP485,plain,sP485 <=> (![X1:$i]:((~(sP256)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP485])])).
% 85.62/85.63  thf(sP486,plain,sP486 <=> ((~(sP223)) => (~(sP483))),introduced(definition,[new_symbols(definition,[sP486])])).
% 85.62/85.63  thf(sP487,plain,sP487 <=> ((~(sP18)) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP487])])).
% 85.62/85.63  thf(sP488,plain,sP488 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP488])])).
% 85.62/85.63  thf(sP489,plain,sP489 <=> (sP16 => (~(sP208))),introduced(definition,[new_symbols(definition,[sP489])])).
% 85.62/85.63  thf(sP490,plain,sP490 <=> ((~(sP55)) => (~(sP472))),introduced(definition,[new_symbols(definition,[sP490])])).
% 85.62/85.63  thf(sP491,plain,sP491 <=> ((~(sP242)) => (~(sP488))),introduced(definition,[new_symbols(definition,[sP491])])).
% 85.62/85.63  thf(sP492,plain,sP492 <=> (![X1:$i]:((~(sP360)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP492])])).
% 85.62/85.63  thf(sP493,plain,sP493 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP493])])).
% 85.62/85.63  thf(sP494,plain,sP494 <=> ((~(sP230)) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP494])])).
% 85.62/85.63  thf(sP495,plain,sP495 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP495])])).
% 85.62/85.63  thf(sP496,plain,sP496 <=> (sP14 => (~(sP382))),introduced(definition,[new_symbols(definition,[sP496])])).
% 85.62/85.63  thf(sP497,plain,sP497 <=> ((~(sP151)) => (~(sP493))),introduced(definition,[new_symbols(definition,[sP497])])).
% 85.62/85.63  thf(sP498,plain,sP498 <=> (![X1:$i]:((~((sP111 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP498])])).
% 85.62/85.63  thf(sP499,plain,sP499 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP499])])).
% 85.62/85.63  thf(sP500,plain,sP500 <=> (![X1:$i]:((~((sP425 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP500])])).
% 85.62/85.63  thf(sP501,plain,sP501 <=> ((~(sP439)) => (~(sP327))),introduced(definition,[new_symbols(definition,[sP501])])).
% 85.62/85.63  thf(sP502,plain,sP502 <=> ((~(sP316)) => (~(sP214))),introduced(definition,[new_symbols(definition,[sP502])])).
% 85.62/85.63  thf(sP503,plain,sP503 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP382 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP503])])).
% 85.62/85.63  thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))).
% 85.62/85.63  thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))).
% 85.62/85.63  thf(h0,assumption,(~((sP1 => (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))),introduced(assumption,[])).
% 85.62/85.63  thf(h1,assumption,sP1,introduced(assumption,[])).
% 85.62/85.63  thf(h2,assumption,(~((![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))))),introduced(assumption,[])).
% 85.62/85.63  thf(h3,assumption,sP427,introduced(assumption,[])).
% 85.62/85.63  thf(1,plain,((~(sP323) | ~(sP100)) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(2,plain,((~(sP410) | ~(sP100)) | ~(sP22)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(3,plain,((~(sP126) | ~(sP100)) | ~(sP202)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(4,plain,((~(sP47) | ~(sP100)) | ~(sP54)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(5,plain,((~(sP201) | ~(sP196)) | ~(sP133)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(6,plain,((~(sP89) | ~(sP495)) | ~(sP441)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(7,plain,((~(sP53) | ~(sP38)) | ~(sP88)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(8,plain,((~(sP375) | ~(sP483)) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(9,plain,((~(sP363) | ~(sP483)) | ~(sP14)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(10,plain,((~(sP353) | ~(sP483)) | ~(sP382)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(11,plain,((~(sP69) | ~(sP483)) | ~(sP88)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(12,plain,((~(sP97) | ~(sP332)) | ~(sP495)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(13,plain,((~(sP18) | ~(sP332)) | ~(sP441)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(14,plain,((~(sP206) | ~(sP179)) | ~(sP196)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(15,plain,((~(sP163) | ~(sP179)) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(16,plain,((~(sP129) | sP47) | ~(sP51)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(17,plain,((~(sP262) | sP126) | ~(sP159)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(18,plain,((~(sP477) | sP410) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(19,plain,((~(sP473) | sP323) | ~(sP111)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(20,plain,((~(sP204) | ~(sP13)) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(21,plain,((~(sP316) | sP53) | ~(sP133)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(22,plain,((~(sP140) | ~(sP488)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(23,plain,((~(sP289) | sP89) | ~(sP133)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(24,plain,((~(sP369) | ~(sP440)) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(25,plain,((~(sP393) | sP201) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(26,plain,((~(sP238) | sP285) | sP100),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(27,plain,((~(sP269) | sP66) | sP325),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(28,plain,((~(sP125) | sP298) | sP22),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(29,plain,((~(sP398) | sP300) | sP202),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(30,plain,((~(sP161) | sP87) | sP54),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(31,plain,((~(sP261) | ~(sP51)) | ~(sP111)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(32,plain,((~(sP242) | ~(sP159)) | ~(sP409)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(33,plain,((~(sP230) | ~(sP41)) | ~(sP409)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(34,plain,((~(sP62) | ~(sP111)) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(35,plain,((~(sP138) | ~(sP111)) | ~(sP409)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(36,plain,((~(sP177) | sP163) | ~(sP493)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(37,plain,((~(sP309) | sP206) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(38,plain,((~(sP487) | sP18) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(39,plain,((~(sP426) | sP97) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(40,plain,((~(sP180) | ~(sP196)) | ~(sP179)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(41,plain,((~(sP167) | sP69) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(42,plain,((~(sP406) | sP353) | ~(sP349)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(43,plain,((~(sP390) | sP363) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(44,plain,((~(sP315) | sP375) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(45,plain,((~(sP108) | ~(sP14)) | ~(sP88)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(46,plain,((~(sP124) | ~(sP382)) | ~(sP88)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(47,plain,((~(sP460) | ~(sP472)) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(48,plain,((~(sP338) | ~(sP13)) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(49,plain,((~(sP172) | ~(sP26)) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(50,plain,((~(sP287) | ~(sP365)) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(51,plain,((~(sP188) | ~(sP365)) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(52,plain,((~(sP381) | ~(sP26)) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(53,plain,((~(sP171) | ~(sP475)) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(54,plain,((~(sP459) | ~(sP38)) | ~(sP483)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(55,plain,((~(sP55) | ~(sP14)) | ~(sP483)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(56,plain,((~(sP257) | ~(sP382)) | ~(sP483)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(57,plain,((~(sP160) | ~(sP382)) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(58,plain,((~(sP401) | ~(sP382)) | ~(sP14)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(59,plain,((~(sP435) | sP426) | ~(sP400)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(60,plain,((~(sP452) | sP487) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(61,plain,((~(sP49) | sP309) | ~(sP365)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(62,plain,((~(sP418) | sP177) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(63,plain,((~(sP42) | sP138) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(64,plain,((~(sP422) | sP62) | ~(sP113)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(65,plain,((~(sP494) | sP230) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(66,plain,((~(sP491) | sP242) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(67,plain,((~(sP229) | sP261) | ~(sP195)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(68,plain,(~(sP442) | sP473),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(69,plain,(~(sP442) | sP477),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(70,plain,(~(sP442) | sP262),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(71,plain,(~(sP442) | sP129),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(72,plain,((~(sP78) | sP161) | sP327),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(73,plain,((~(sP12) | sP398) | sP482),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(74,plain,((~(sP21) | sP125) | sP386),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(75,plain,((~(sP432) | sP269) | sP214),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(76,plain,((~(sP34) | sP238) | sP130),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(77,plain,((~(sP157) | sP393) | ~(sP386)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(78,plain,((~(sP132) | sP369) | ~(sP100)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(79,plain,((~(sP137) | sP289) | ~(sP214)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(80,plain,((~(sP9) | sP140) | ~(sP100)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(81,plain,((~(sP502) | sP316) | ~(sP214)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(82,plain,((~(sP45) | sP316) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(83,plain,((~(sP256) | sP204) | ~(sP179)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(84,plain,((~(sP118) | sP381) | ~(sP332)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(85,plain,((~(sP263) | sP188) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(86,plain,((~(sP439) | sP287) | ~(sP88)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(87,plain,((~(sP154) | sP172) | ~(sP441)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(88,plain,((~(sP68) | sP338) | ~(sP133)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(89,plain,((~(sP385) | sP460) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(90,plain,((~(sP336) | ~(sP208)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(91,plain,((~(sP187) | ~(sP44)) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(92,plain,((~(sP77) | ~(sP44)) | ~(sP195)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(93,plain,((~(sP212) | ~(sP44)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(94,plain,((~(sP304) | sP124) | ~(sP441)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(95,plain,((~(sP250) | sP108) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(96,plain,((~(sP65) | ~(sP495)) | ~(sP332)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(97,plain,((~(sP357) | sP315) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(98,plain,((~(sP246) | sP315) | ~(sP196)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(99,plain,((~(sP389) | sP390) | ~(sP26)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(100,plain,((~(sP274) | sP390) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(101,plain,((~(sP200) | sP390) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(102,plain,((~(sP331) | sP406) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(103,plain,((~(sP164) | sP167) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(104,plain,((~(sP226) | sP180) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(105,plain,((~(sP143) | sP448) | sP111),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(106,plain,((~(sP217) | sP20) | sP41),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(107,plain,((~(sP184) | sP346) | sP159),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(108,plain,((~(sP245) | sP417) | sP51),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(109,plain,((~(sP345) | sP397) | sP409),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(110,plain,((~(sP388) | sP171) | ~(sP14)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(111,plain,((~(sP116) | sP466) | sP440),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(112,plain,((~(sP128) | sP183) | sP488),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(113,plain,((~(sP421) | sP401) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(114,plain,((~(sP378) | sP160) | ~(sP495)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(115,plain,((~(sP449) | ~(sP61)) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(116,plain,((~(sP470) | ~(sP61)) | ~(sP195)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(117,plain,((~(sP335) | ~(sP61)) | ~(sP44)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(118,plain,((~(sP5) | ~(sP425)) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(119,plain,((~(sP368) | ~(sP425)) | ~(sP61)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(120,plain,((~(sP268) | ~(sP425)) | ~(sP44)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(121,plain,((~(sP399) | ~(sP195)) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(122,plain,((~(sP282) | ~(sP195)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(123,plain,((~(sP249) | ~(sP195)) | ~(sP61)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(124,plain,((~(sP216) | ~(sP195)) | ~(sP44)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(125,plain,((~(sP40) | ~(sP35)) | ~(sP195)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(126,plain,((~(sP135) | ~(sP35)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(127,plain,((~(sP8) | ~(sP35)) | ~(sP61)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(128,plain,((~(sP438) | ~(sP35)) | ~(sP44)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(129,plain,((~(sP151) | sP257) | ~(sP332)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(130,plain,((~(sP490) | sP55) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(131,plain,((~(sP72) | sP459) | ~(sP179)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(132,plain,((~(sP264) | sP65) | ~(sP179)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(133,plain,((~(sP453) | sP250) | ~(sP386)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(134,plain,((~(sP396) | sP250) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(135,plain,((~(sP371) | sP304) | ~(sP327)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(136,plain,((~(sP467) | sP304) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(137,plain,((~(sP302) | sP212) | ~(sP22)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(138,plain,((~(sP380) | sP77) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(139,plain,((~(sP343) | sP187) | ~(sP100)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(140,plain,((~(sP149) | sP336) | ~(sP100)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(141,plain,((~(sP76) | sP385) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(142,plain,((~(sP115) | sP68) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(143,plain,((~(sP277) | sP154) | ~(sP482)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(144,plain,((~(sP330) | sP154) | ~(sP386)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(145,plain,((~(sP501) | sP439) | ~(sP327)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(146,plain,((~(sP481) | sP439) | ~(sP130)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(147,plain,((~(sP436) | sP263) | ~(sP179)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(148,plain,((~(sP57) | sP118) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(149,plain,((~(sP479) | sP256) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(150,plain,((~(sP299) | sP256) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(151,plain,(~(sP30) | sP45),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(152,plain,(~(sP30) | sP502),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(153,plain,((~(sP456) | sP128) | sP441),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(154,plain,(~(sP33) | sP9),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(155,plain,(~(sP248) | sP137),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(156,plain,((~(sP395) | sP116) | sP133),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(157,plain,(~(sP270) | sP132),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(158,plain,(~(sP7) | sP157),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(159,plain,(~(sP260) | sP34),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(160,plain,(~(sP260) | sP432),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(161,plain,(~(sP260) | sP21),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(162,plain,(~(sP260) | sP12),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(163,plain,(~(sP260) | sP78),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(164,plain,(~(sP170) | sP442),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(165,plain,((~(sP463) | sP388) | ~(sP26)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(166,plain,(~(sP429) | sP229),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(167,plain,(~(sP267) | sP491),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(168,plain,(~(sP314) | sP494),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(169,plain,(~(sP498) | sP422),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(170,plain,(~(sP498) | sP42),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(171,plain,((~(sP404) | sP345) | sP288),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(172,plain,((~(sP107) | sP245) | sP493),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(173,plain,((~(sP198) | sP184) | sP349),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(174,plain,((~(sP11) | sP217) | sP50),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(175,plain,((~(sP387) | sP143) | sP165),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(176,plain,((~(sP329) | ~(sP285)) | sP417),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(177,plain,((~(sP293) | ~(sP87)) | sP346),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(178,plain,((~(sP266) | ~(sP66)) | sP20),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(179,plain,((~(sP455) | ~(sP300)) | sP448),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(180,plain,(~(sP127) | sP418),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(181,plain,(~(sP253) | sP49),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(182,plain,((~(sP131) | sP226) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(183,plain,((~(sP190) | sP226) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(184,plain,(~(sP134) | sP452),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(185,plain,(~(sP120) | sP435),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(186,plain,((~(sP476) | sP264) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(187,plain,(~(sP251) | sP164),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(188,plain,(~(sP142) | sP331),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(189,plain,(~(sP367) | sP200),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(190,plain,(~(sP367) | sP274),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(191,plain,(~(sP367) | sP389),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(192,plain,(~(sP301) | sP246),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(193,plain,(~(sP301) | sP357),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(194,plain,((~(sP194) | sP72) | ~(sP493)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(195,plain,((~(sP52) | sP72) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(196,plain,((~(sP153) | sP490) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(197,plain,((~(sP497) | sP151) | ~(sP493)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(198,plain,((~(sP86) | sP151) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(199,plain,((~(sP233) | sP151) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(200,plain,((~(sP273) | sP438) | ~(sP409)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(201,plain,((~(sP447) | sP8) | ~(sP159)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(202,plain,((~(sP193) | sP135) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(203,plain,((~(sP211) | sP40) | ~(sP111)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(204,plain,((~(sP6) | sP216) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(205,plain,((~(sP362) | sP249) | ~(sP321)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(206,plain,((~(sP105) | sP282) | ~(sP113)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(207,plain,((~(sP292) | sP399) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(208,plain,((~(sP102) | sP268) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(209,plain,((~(sP24) | sP368) | ~(sP16)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(210,plain,((~(sP236) | sP5) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(211,plain,((~(sP85) | sP335) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(212,plain,((~(sP373) | sP470) | ~(sP110)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(213,plain,((~(sP96) | sP449) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(214,plain,((~(sP213) | sP378) | ~(sP400)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(215,plain,((~(sP279) | sP421) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(216,plain,((~(sP148) | ~(sP495)) | ~(sP475)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(217,plain,((~(sP70) | ~(sP196)) | ~(sP400)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(218,plain,((~(sP328) | sP94) | sP44),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(219,plain,((~(sP4) | ~(sP321)) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(220,plain,((~(sP377) | sP67) | sP208),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(221,plain,((~(sP384) | ~(sP109)) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(222,plain,((~(sP489) | ~(sP16)) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(223,plain,((~(sP43) | ~(sP156)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(224,plain,((~(sP91) | ~(sP156)) | ~(sP109)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(225,plain,((~(sP434) | ~(sP156)) | ~(sP16)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(226,plain,((~(sP412) | ~(sP16)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(227,plain,((~(sP352) | ~(sP16)) | ~(sP109)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(228,plain,((~(sP83) | ~(sP109)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(229,plain,((~(sP296) | ~(sP109)) | ~(sP16)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(230,plain,((~(sP166) | ~(sP308)) | ~(sP109)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(231,plain,((~(sP403) | ~(sP308)) | ~(sP156)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(232,plain,((~(sP225) | ~(sP472)) | ~(sP365)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(233,plain,((~(sP223) | sP225) | ~(sP493)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(234,plain,((~(sP458) | ~(sP472)) | ~(sP26)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(235,plain,((~(sP360) | sP458) | ~(sP349)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(236,plain,((~(sP317) | ~(sP472)) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(237,plain,((~(sP311) | sP317) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(238,plain,((~(sP392) | sP311) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(239,plain,((~(sP379) | sP311) | ~(sP196)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(240,plain,((~(sP358) | sP360) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(241,plain,((~(sP152) | sP360) | ~(sP495)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(242,plain,((~(sP95) | sP223) | ~(sP14)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(243,plain,((~(sP486) | sP223) | ~(sP483)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(244,plain,(~(sP485) | sP299),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(245,plain,(~(sP485) | sP479),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(246,plain,(~(sP37) | sP57),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(247,plain,(~(sP215) | sP436),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(248,plain,((~(sP433) | sP403) | ~(sP51)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(249,plain,((~(sP175) | sP166) | ~(sP111)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(250,plain,((~(sP469) | sP296) | ~(sP321)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(251,plain,((~(sP320) | sP83) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(252,plain,((~(sP271) | sP352) | ~(sP110)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(253,plain,((~(sP169) | sP412) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(254,plain,((~(sP186) | sP434) | ~(sP61)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(255,plain,((~(sP303) | sP91) | ~(sP195)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(256,plain,((~(sP240) | sP43) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(257,plain,((~(sP247) | sP489) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(258,plain,((~(sP281) | sP384) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(259,plain,(~(sP90) | sP481),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(260,plain,(~(sP90) | sP501),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(261,plain,(~(sP295) | sP330),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(262,plain,(~(sP295) | sP277),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(263,plain,(~(sP117) | sP115),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(264,plain,(~(sP468) | sP76),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(265,plain,(~(sP366) | sP149),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(266,plain,((~(sP356) | sP377) | sP99),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(267,plain,((~(sP104) | sP4) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(268,plain,((~(sP235) | sP328) | sP88),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(269,plain,(~(sP474) | sP343),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(270,plain,(~(sP474) | sP380),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(271,plain,(~(sP474) | sP302),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(272,plain,(~(sP224) | sP467),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(273,plain,(~(sP224) | sP371),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(274,plain,(~(sP23) | sP396),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(275,plain,(~(sP23) | sP453),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(276,plain,((~(sP451) | sP70) | ~(sP26)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(277,plain,((~(sP192) | ~(sP420)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(278,plain,((~(sP210) | sP148) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(279,plain,((~(sP350) | ~(sP313)) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(280,plain,((~(sP176) | ~(sP313)) | ~(sP113)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(281,plain,((~(sP394) | ~(sP113)) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(282,plain,((~(sP56) | sP93) | sP189),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(283,plain,((~(sP431) | ~(sP110)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(284,plain,((~(sP222) | ~(sP158)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(285,plain,((~(sP276) | sP119) | sP17),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(286,plain,((~(sP155) | sP324) | sP35),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(287,plain,((~(sP275) | sP443) | sP195),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(288,plain,((~(sP228) | sP15) | sP425),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(289,plain,((~(sP348) | sP112) | sP61),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(290,plain,(~(sP237) | sP279),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(291,plain,(~(sP60) | sP213),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(292,plain,(~(sP312) | sP96),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(293,plain,(~(sP312) | sP373),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(294,plain,(~(sP312) | sP85),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(295,plain,(~(sP500) | sP236),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(296,plain,(~(sP500) | sP24),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(297,plain,(~(sP500) | sP102),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(298,plain,(~(sP337) | sP292),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(299,plain,(~(sP337) | sP105),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(300,plain,(~(sP337) | sP362),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(301,plain,(~(sP337) | sP6),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(302,plain,((~(sP106) | sP348) | sP382),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(303,plain,((~(sP123) | sP228) | sP14),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(304,plain,((~(sP408) | sP275) | sP38),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(305,plain,((~(sP297) | ~(sP417)) | sP112),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(306,plain,((~(sP376) | ~(sP448)) | sP15),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(307,plain,((~(sP36) | ~(sP346)) | sP443),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(308,plain,((~(sP424) | ~(sP397)) | sP324),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(309,plain,((~(sP227) | sP155) | sP483),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(310,plain,(~(sP341) | sP211),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(311,plain,(~(sP341) | sP193),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(312,plain,(~(sP341) | sP447),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(313,plain,(~(sP341) | sP273),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(314,plain,(~(sP10) | sP233),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(315,plain,(~(sP10) | sP86),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(316,plain,(~(sP10) | sP497),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(317,plain,((~(sP280) | sP98) | ~(sP332)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(318,plain,(~(sP197) | sP153),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(319,plain,((~(sP423) | sP361) | ~(sP332)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(320,plain,((~(sP141) | sP284) | ~(sP472)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(321,plain,(~(sP182) | sP52),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(322,plain,(~(sP182) | sP194),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(323,plain,(~(sP136) | sP301),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(324,plain,(~(sP136) | sP367),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(325,plain,(~(sP136) | sP142),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(326,plain,(~(sP136) | sP251),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(327,plain,((~(sP92) | ~(sP94)) | sP119),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(328,plain,((~(sP370) | sP276) | sP332),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(329,plain,((~(sP162) | sP222) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(330,plain,((~(sP243) | sP431) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(331,plain,(~(sP291) | sP476),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(332,plain,(~(sP185) | sP120),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(333,plain,(~(sP185) | sP134),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(334,plain,((~(sP252) | ~(sP183)) | sP93),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(335,plain,((~(sP39) | sP56) | sP179),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(336,plain,((~(sP232) | sP394) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(337,plain,(~(sP84) | sP190),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(338,plain,(~(sP84) | sP131),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(339,plain,(~(sP471) | sP253),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(340,plain,(~(sP471) | sP127),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(341,plain,((~(sP122) | ~(sP67)) | sP298),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(342,plain,(~(sP465) | sP122),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(343,plain,(~(sP64) | sP455),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(344,plain,(~(sP64) | sP266),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(345,plain,(~(sP64) | sP293),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(346,plain,(~(sP64) | sP329),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(347,plain,(~(sP351) | sP387),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(348,plain,(~(sP351) | sP11),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(349,plain,(~(sP351) | sP198),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(350,plain,(~(sP351) | sP107),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(351,plain,(~(sP351) | sP404),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(352,plain,(~(sP405) | sP498),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(353,plain,(~(sP405) | sP314),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(354,plain,(~(sP405) | sP267),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(355,plain,(~(sP405) | sP429),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(356,plain,((~(sP241) | sP176) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(357,plain,((~(sP168) | sP350) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(358,plain,(~(sP290) | sP463),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(359,plain,((~(sP457) | sP210) | ~(sP382)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(360,plain,((~(sP219) | sP192) | ~(sP35)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(361,plain,((~(sP462) | sP451) | ~(sP495)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(362,plain,((~(sP437) | ~(sP93)) | sP265),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(363,plain,((~(sP174) | ~(sP71)) | sP218),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(364,plain,((~(sP464) | ~(sP259)) | sP147),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(365,plain,(~(sP480) | sP170),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(366,plain,(~(sP416) | sP260),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(367,plain,(~(sP310) | sP7),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(368,plain,(~(sP244) | sP270),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(369,plain,(~(sP374) | sP395),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(370,plain,(~(sP29) | sP248),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(371,plain,(~(sP2) | sP33),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(372,plain,(~(sP402) | sP456),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(373,plain,(~(sP322) | sP30),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(374,plain,(~(sP63) | sP23),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(375,plain,(~(sP503) | sP224),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(376,plain,(~(sP28) | sP474),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(377,plain,(~(sP411) | sP235),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(378,plain,(~(sP79) | sP104),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(379,plain,(~(sP445) | sP356),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(380,plain,(~(sP258) | sP366),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(381,plain,(~(sP75) | sP468),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(382,plain,(~(sP205) | sP117),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(383,plain,(~(sP231) | sP295),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(384,plain,(~(sP334) | sP90),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(385,plain,(~(sP478) | sP281),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(386,plain,(~(sP32) | sP247),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(387,plain,((~(sP234) | ~(sP466)) | sP359),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(388,plain,((~(sP82) | sP265) | sP156),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(389,plain,((~(sP319) | sP82) | sP365),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(390,plain,((~(sP255) | sP218) | sP16),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(391,plain,((~(sP454) | sP255) | sP26),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(392,plain,((~(sP428) | sP147) | sP109),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(393,plain,((~(sP101) | sP428) | sP13),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(394,plain,((~(sP209) | sP359) | sP308),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(395,plain,((~(sP414) | sP209) | sP472),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(396,plain,(~(sP146) | sP240),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(397,plain,(~(sP146) | sP303),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(398,plain,(~(sP146) | sP186),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(399,plain,(~(sP32) | sP169),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(400,plain,(~(sP32) | sP271),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(401,plain,(~(sP478) | sP320),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(402,plain,(~(sP478) | sP469),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(403,plain,(~(sP446) | sP175),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(404,plain,(~(sP446) | sP433),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(405,plain,(~(sP334) | sP215),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(406,plain,(~(sP231) | sP37),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(407,plain,(~(sP205) | sP485),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(408,plain,(~(sP81) | sP486),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(409,plain,(~(sP81) | sP95),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(410,plain,(~(sP492) | sP152),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(411,plain,(~(sP492) | sP358),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(412,plain,(~(sP254) | sP379),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(413,plain,(~(sP254) | sP392),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(414,plain,(~(sP75) | sP254),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(415,plain,(~(sP75) | sP492),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(416,plain,(~(sP75) | sP81),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(417,plain,(~(sP103) | sP75),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(418,plain,(~(sP103) | sP205),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(419,plain,(~(sP103) | sP231),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(420,plain,(~(sP103) | sP334),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(421,plain,(~(sP258) | sP446),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(422,plain,(~(sP258) | sP478),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(423,plain,(~(sP258) | sP32),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(424,plain,(~(sP258) | sP146),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(425,plain,(~(sP445) | sP414),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(426,plain,(~(sP445) | sP101),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(427,plain,(~(sP445) | sP454),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(428,plain,(~(sP445) | sP319),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(429,plain,(~(sP144) | sP234),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(430,plain,(~(sP144) | sP464),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(431,plain,(~(sP144) | sP174),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(432,plain,(~(sP144) | sP437),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(433,plain,((~(sP407) | ~(sP207)) | sP272),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(434,plain,((~(sP73) | ~(sP340)) | sP259),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(435,plain,((~(sP430) | sP259) | sP321),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(436,plain,((~(sP283) | sP430) | sP400),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(437,plain,(~(sP173) | sP462),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(438,plain,((~(sP59) | ~(sP443)) | sP372),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(439,plain,((~(sP27) | ~(sP324)) | sP340),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(440,plain,((~(sP3) | sP340) | sP420),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(441,plain,((~(sP364) | sP3) | sP475),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(442,plain,((~(sP19) | ~(sP110)) | ~(sP420)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(443,plain,((~(sP145) | sP19) | ~(sP313)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(444,plain,(~(sP181) | sP219),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(445,plain,(~(sP307) | sP457),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(446,plain,(~(sP450) | sP290),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(447,plain,((~(sP203) | ~(sP119)) | sP71),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(448,plain,((~(sP347) | sP71) | sP313),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(449,plain,((~(sP58) | sP347) | sP25),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(450,plain,(~(sP461) | sP168),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(451,plain,(~(sP461) | sP241),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(452,plain,(~(sP480) | sP405),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(453,plain,(~(sP416) | sP351),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(454,plain,(~(sP1) | sP64),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(455,plain,(~(sP427) | ~(sP298)),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(456,plain,(~(sP413) | sP471),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(457,plain,(~(sP310) | sP84),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(458,plain,(~(sP74) | sP232),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(459,plain,(~(sP374) | sP39),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(460,plain,(~(sP499) | sP252),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(461,plain,(~(sP333) | sP185),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(462,plain,(~(sP29) | sP291),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(463,plain,(~(sP444) | sP243),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(464,plain,(~(sP419) | sP162),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(465,plain,(~(sP402) | sP370),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(466,plain,(~(sP326) | sP92),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(467,plain,(~(sP278) | sP136),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(468,plain,(~(sP322) | sP182),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(469,plain,(~(sP355) | sP141),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(470,plain,(~(sP342) | sP423),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(471,plain,(~(sP63) | sP197),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(472,plain,(~(sP318) | sP280),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(473,plain,(~(sP503) | sP10),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(474,plain,(~(sP28) | sP341),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(475,plain,(~(sP411) | sP227),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(476,plain,(~(sP48) | sP424),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(477,plain,((~(sP121) | ~(sP359)) | sP20),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(478,plain,(~(sP465) | sP121),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(479,plain,(~(sP48) | sP36),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(480,plain,(~(sP48) | sP376),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(481,plain,(~(sP48) | sP297),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(482,plain,(~(sP411) | sP408),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(483,plain,(~(sP411) | sP123),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(484,plain,(~(sP411) | sP106),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(485,plain,(~(sP28) | sP337),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(486,plain,(~(sP28) | sP500),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(487,plain,(~(sP28) | sP312),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(488,plain,(~(sP503) | sP60),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(489,plain,(~(sP503) | sP237),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(490,plain,((~(sP306) | sP98) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(491,plain,((~(sP496) | ~(sP14)) | ~(sP382)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(492,plain,((~(sP98) | sP496) | ~(sP26)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(493,plain,((~(sP150) | sP98) | ~(sP495)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(494,plain,(~(sP318) | sP150),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(495,plain,(~(sP318) | sP306),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(496,plain,((~(sP305) | sP178) | ~(sP196)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(497,plain,((~(sP339) | ~(sP14)) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(498,plain,((~(sP178) | sP339) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(499,plain,(~(sP31) | sP305),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(500,plain,(~(sP63) | sP31),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(501,plain,(~(sP63) | sP318),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(502,plain,((~(sP199) | ~(sP38)) | ~(sP382)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(503,plain,((~(sP361) | sP199) | ~(sP400)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(504,plain,((~(sP344) | ~(sP38)) | ~(sP14)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(505,plain,((~(sP284) | sP344) | ~(sP196)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(506,plain,((~(sP80) | ~(sP265)) | sP15),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(507,plain,(~(sP465) | sP80),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(508,plain,(~(sP322) | sP355),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(509,plain,(~(sP322) | sP342),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(510,plain,(~(sP278) | sP322),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(511,plain,(~(sP278) | sP63),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(512,plain,(~(sP278) | sP503),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(513,plain,(~(sP294) | sP278),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(514,plain,(~(sP480) | sP28),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(515,plain,(~(sP416) | sP411),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(516,plain,(~(sP1) | sP48),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(517,plain,(~(sP427) | ~(sP20)),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(518,plain,(~(sP244) | sP461),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(519,plain,(~(sP374) | sP58),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(520,plain,(~(sP499) | sP203),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(521,plain,(~(sP333) | sP450),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(522,plain,(~(sP29) | sP307),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(523,plain,(~(sP2) | sP181),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(524,plain,(~(sP444) | sP145),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(525,plain,(~(sP402) | sP364),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(526,plain,(~(sP326) | sP27),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(527,plain,((~(sP383) | ~(sP112)) | sP207),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(528,plain,(~(sP326) | sP383),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(529,plain,(~(sP326) | sP59),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(530,plain,((~(sP484) | sP372) | sP158),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(531,plain,((~(sP221) | sP484) | sP46),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(532,plain,((~(sP354) | sP207) | sP110),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(533,plain,((~(sP391) | sP354) | sP495),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(534,plain,(~(sP402) | sP391),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(535,plain,(~(sP402) | sP221),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(536,plain,((~(sP239) | ~(sP110)) | ~(sP158)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(537,plain,((~(sP286) | sP239) | ~(sP113)),inference(prop_rule,[status(thm)],[])).
% 85.62/85.63  thf(538,plain,(~(sP444) | sP286),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(539,plain,(~(sP2) | sP444),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(540,plain,(~(sP2) | sP419),inference(all_rule,[status(thm)],[])).
% 85.62/85.63  thf(541,plain,((~(sP139) | ~(sP218)) | sP372),inference(prop_rule,[status(thm)],[])).
% 85.62/85.64  thf(542,plain,(~(sP465) | sP139),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(543,plain,(~(sP333) | sP29),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(544,plain,(~(sP294) | sP333),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(545,plain,(~(sP480) | sP2),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(546,plain,(~(sP416) | sP402),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(547,plain,(~(sP1) | sP326),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(548,plain,(~(sP427) | ~(sP15)),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(549,plain,(~(sP310) | sP173),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(550,plain,(~(sP244) | sP79),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(551,plain,(~(sP374) | sP283),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(552,plain,(~(sP499) | sP73),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(553,plain,(~(sP499) | sP407),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(554,plain,((~(sP114) | sP272) | sP113),inference(prop_rule,[status(thm)],[])).
% 85.62/85.64  thf(555,plain,((~(sP220) | sP114) | sP196),inference(prop_rule,[status(thm)],[])).
% 85.62/85.64  thf(556,plain,(~(sP374) | sP220),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(557,plain,(~(sP244) | sP74),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(558,plain,(~(sP413) | sP310),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(559,plain,(~(sP294) | sP413),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(560,plain,(~(sP480) | sP244),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(561,plain,(~(sP416) | sP374),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(562,plain,(~(sP1) | sP499),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(563,plain,(~(sP427) | ~(sP372)),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(564,plain,((~(sP415) | ~(sP147)) | sP272),inference(prop_rule,[status(thm)],[])).
% 85.62/85.64  thf(565,plain,(~(sP465) | sP415),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(566,plain,(~(sP191) | sP465),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(567,plain,sP191,inference(eq_sym,[status(thm)],[])).
% 85.62/85.64  thf(568,plain,(~(sP427) | ~(sP272)),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(569,plain,(~(sP1) | sP144),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(570,plain,(~(sP416) | sP445),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(571,plain,(~(sP480) | sP258),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(572,plain,(~(sP294) | sP103),inference(all_rule,[status(thm)],[])).
% 85.62/85.64  thf(axb,axiom,sP294).
% 85.62/85.64  thf(axr,axiom,sP480).
% 85.62/85.64  thf(rb_cov,axiom,sP416).
% 85.62/85.64  thf(573,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,axb,axr,rb_cov,h1,h3])).
% 85.62/85.64  thf(574,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,573,h3])).
% 85.62/85.64  thf(575,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,574,h1,h2])).
% 85.62/85.64  thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))).
% 85.62/85.64  thf(576,plain,(~((![X1:$i>$i]:((![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3)))) => (![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2))))))))))),inference(preprocess,[status(thm)],[inf]).
% 85.62/85.64  thf(577,plain,$false,inference(tab_negall,[status(thm),tab_negall(discharge,[h0]),tab_negall(eigenvar,eigen__0)],[576,575,h0])).
% 85.62/85.64  % SZS output end Proof
%------------------------------------------------------------------------------