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Satallax---3.5.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : GRA090^1 : 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 : n022.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 142.11s 142.14s
% Output   : Proof 142.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : GRA090^1 : TPTP v9.2.0. Released v9.0.0.
% 0.07/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  8 15:52:23 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 142.11/142.14  % SZS status Unsatisfiable
% 142.11/142.14  % Mode: mode493
% 142.11/142.14  % Inferences: 16469
% 142.11/142.14  % SZS output start Proof
% 142.11/142.14  thf(ty_eigen__1, type, eigen__1 : $i).
% 142.11/142.14  thf(ty_b, type, b : ($i>$i>$o)).
% 142.11/142.14  thf(ty_eigen__0, type, eigen__0 : ($i>$i)).
% 142.11/142.14  thf(ty_r, type, r : ($i>$i>$o)).
% 142.11/142.14  thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP1])])).
% 142.11/142.14  thf(sP2,plain,sP2 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 142.11/142.14  thf(sP3,plain,sP3 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP3])])).
% 142.11/142.14  thf(sP4,plain,sP4 <=> ((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP2))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP4])])).
% 142.11/142.14  thf(sP5,plain,sP5 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP5])])).
% 142.11/142.14  thf(sP6,plain,sP6 <=> (![X1:$i]:((~(((~((sP3 => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 142.11/142.14  thf(sP7,plain,sP7 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))),introduced(definition,[new_symbols(definition,[sP7])])).
% 142.11/142.14  thf(sP8,plain,sP8 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP8])])).
% 142.11/142.14  thf(sP9,plain,sP9 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 142.11/142.14  thf(sP10,plain,sP10 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP2))))) => (~(((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,[sP10])])).
% 142.11/142.14  thf(sP11,plain,sP11 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP2))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 142.11/142.14  thf(sP12,plain,sP12 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP12])])).
% 142.11/142.14  thf(sP13,plain,sP13 <=> ((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP13])])).
% 142.11/142.14  thf(sP14,plain,sP14 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP14])])).
% 142.11/142.14  thf(sP15,plain,sP15 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (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__1))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP15])])).
% 142.11/142.14  thf(sP16,plain,sP16 <=> ((~(((~((((b @ (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__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__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP16])])).
% 142.11/142.14  thf(sP17,plain,sP17 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP17])])).
% 142.11/142.14  thf(sP18,plain,sP18 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP18])])).
% 142.11/142.14  thf(sP19,plain,sP19 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP19])])).
% 142.11/142.14  thf(sP20,plain,sP20 <=> ((~(sP8)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP20])])).
% 142.11/142.14  thf(sP21,plain,sP21 <=> ((~(((~((((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__1))))) @ eigen__1)))))) => (~(sP3))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP21])])).
% 142.11/142.14  thf(sP22,plain,sP22 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (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))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP22])])).
% 142.11/142.14  thf(sP23,plain,sP23 <=> ((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,[sP23])])).
% 142.11/142.14  thf(sP24,plain,sP24 <=> ((~(((~((sP2 => (~(((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__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP24])])).
% 142.11/142.14  thf(sP25,plain,sP25 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP25])])).
% 142.11/142.14  thf(sP26,plain,sP26 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP26])])).
% 142.11/142.14  thf(sP27,plain,sP27 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP27])])).
% 142.11/142.14  thf(sP28,plain,sP28 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP28])])).
% 142.11/142.14  thf(sP29,plain,sP29 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP17))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP29])])).
% 142.11/142.14  thf(sP30,plain,sP30 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP30])])).
% 142.11/142.14  thf(sP31,plain,sP31 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP31])])).
% 142.11/142.14  thf(sP32,plain,sP32 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP28))),introduced(definition,[new_symbols(definition,[sP32])])).
% 142.11/142.14  thf(sP33,plain,sP33 <=> ((~(((~((((b @ (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__1)))))))) => (~(((b @ (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__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP33])])).
% 142.11/142.14  thf(sP34,plain,sP34 <=> ((~(((~((sP2 => (~(sP17))))) => (~(((r @ (eigen__0 @ (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)))),introduced(definition,[new_symbols(definition,[sP34])])).
% 142.11/142.14  thf(sP35,plain,sP35 <=> ((~((((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))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP35])])).
% 142.11/142.14  thf(sP36,plain,sP36 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP36])])).
% 142.11/142.14  thf(sP37,plain,sP37 <=> ((~(((~(((~((((b @ (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__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__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__1)))))))),introduced(definition,[new_symbols(definition,[sP37])])).
% 142.11/142.14  thf(sP38,plain,sP38 <=> ((~((((r @ (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__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP38])])).
% 142.11/142.14  thf(sP39,plain,sP39 <=> (![X1:$i]:((~(((~((sP2 => (~(((r @ (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)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP39])])).
% 142.11/142.14  thf(sP40,plain,sP40 <=> (![X1:$i]:((~(((~((sP28 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP40])])).
% 142.11/142.14  thf(sP41,plain,sP41 <=> (((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP41])])).
% 142.11/142.14  thf(sP42,plain,sP42 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP42])])).
% 142.11/142.14  thf(sP43,plain,sP43 <=> (![X1:$i]:((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ 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))))),introduced(definition,[new_symbols(definition,[sP43])])).
% 142.11/142.14  thf(sP44,plain,sP44 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP44])])).
% 142.11/142.14  thf(sP45,plain,sP45 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP45])])).
% 142.11/142.14  thf(sP46,plain,sP46 <=> (sP31 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP46])])).
% 142.11/142.14  thf(sP47,plain,sP47 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP47])])).
% 142.11/142.14  thf(sP48,plain,sP48 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP48])])).
% 142.11/142.14  thf(sP49,plain,sP49 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP49])])).
% 142.11/142.14  thf(sP50,plain,sP50 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP50])])).
% 142.11/142.14  thf(sP51,plain,sP51 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP51])])).
% 142.11/142.14  thf(sP52,plain,sP52 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP50 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP52])])).
% 142.11/142.14  thf(sP53,plain,sP53 <=> (![X1:$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__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP53])])).
% 142.11/142.14  thf(sP54,plain,sP54 <=> ((~((((b @ (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__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,[sP54])])).
% 142.11/142.14  thf(sP55,plain,sP55 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP55])])).
% 142.11/142.14  thf(sP56,plain,sP56 <=> ((~(((~((((r @ (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__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (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)))))),introduced(definition,[new_symbols(definition,[sP56])])).
% 142.11/142.14  thf(sP57,plain,sP57 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP57])])).
% 142.11/142.14  thf(sP58,plain,sP58 <=> ((~(((~((((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__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP58])])).
% 142.11/142.14  thf(sP59,plain,sP59 <=> ((~(((~(((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,[sP59])])).
% 142.11/142.14  thf(sP60,plain,sP60 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP23),introduced(definition,[new_symbols(definition,[sP60])])).
% 142.11/142.14  thf(sP61,plain,sP61 <=> (![X1:$i]:((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP61])])).
% 142.11/142.14  thf(sP62,plain,sP62 <=> ((~(sP38)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP62])])).
% 142.11/142.14  thf(sP63,plain,sP63 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (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,[sP63])])).
% 142.11/142.14  thf(sP64,plain,sP64 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP64])])).
% 142.11/142.14  thf(sP65,plain,sP65 <=> ((~((sP17 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP65])])).
% 142.11/142.14  thf(sP66,plain,sP66 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP66])])).
% 142.11/142.14  thf(sP67,plain,sP67 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP67])])).
% 142.11/142.14  thf(sP68,plain,sP68 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP68])])).
% 142.11/142.14  thf(sP69,plain,sP69 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(sP45))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP69])])).
% 142.11/142.14  thf(sP70,plain,sP70 <=> ((~((((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))))))))),introduced(definition,[new_symbols(definition,[sP70])])).
% 142.11/142.14  thf(sP71,plain,sP71 <=> (((b @ (eigen__0 @ (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__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP71])])).
% 142.11/142.14  thf(sP72,plain,sP72 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP72])])).
% 142.11/142.14  thf(sP73,plain,sP73 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP73])])).
% 142.11/142.14  thf(sP74,plain,sP74 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP74])])).
% 142.11/142.14  thf(sP75,plain,sP75 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP75])])).
% 142.11/142.14  thf(sP76,plain,sP76 <=> ((~((((r @ eigen__1) @ (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__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP76])])).
% 142.11/142.14  thf(sP77,plain,sP77 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP77])])).
% 142.11/142.14  thf(sP78,plain,sP78 <=> ((~(sP70)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP78])])).
% 142.11/142.14  thf(sP79,plain,sP79 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP72))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP79])])).
% 142.11/142.14  thf(sP80,plain,sP80 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((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,[sP80])])).
% 142.11/142.14  thf(sP81,plain,sP81 <=> ((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP72))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP81])])).
% 142.11/142.14  thf(sP82,plain,sP82 <=> ((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,[sP82])])).
% 142.11/142.14  thf(sP83,plain,sP83 <=> (((r @ (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__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP83])])).
% 142.11/142.14  thf(sP84,plain,sP84 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP84])])).
% 142.11/142.14  thf(sP85,plain,sP85 <=> (sP28 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP85])])).
% 142.11/142.14  thf(sP86,plain,sP86 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP2))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP86])])).
% 142.11/142.14  thf(sP87,plain,sP87 <=> ((~(((~((sP3 => (~(((r @ 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))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP87])])).
% 142.11/142.14  thf(sP88,plain,sP88 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP88])])).
% 142.11/142.14  thf(sP89,plain,sP89 <=> (((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP89])])).
% 142.11/142.14  thf(sP90,plain,sP90 <=> ((~(((~(sP9)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP90])])).
% 142.11/142.14  thf(sP91,plain,sP91 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP91])])).
% 142.11/142.14  thf(sP92,plain,sP92 <=> (![X1:$i]:((~(((~(((~((sP45 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP92])])).
% 142.11/142.14  thf(sP93,plain,sP93 <=> ((~((sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP93])])).
% 142.11/142.14  thf(sP94,plain,sP94 <=> ((~(((~(sP32)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP28))),introduced(definition,[new_symbols(definition,[sP94])])).
% 142.11/142.14  thf(sP95,plain,sP95 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (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__1)))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP95])])).
% 142.11/142.14  thf(sP96,plain,sP96 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP75))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP96])])).
% 142.11/142.14  thf(sP97,plain,sP97 <=> ((~(((~(sP71)) => (~(((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__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP97])])).
% 142.11/142.14  thf(sP98,plain,sP98 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP98])])).
% 142.11/142.14  thf(sP99,plain,sP99 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP99])])).
% 142.11/142.14  thf(sP100,plain,sP100 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP100])])).
% 142.11/142.14  thf(sP101,plain,sP101 <=> ((~(((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,[sP101])])).
% 142.11/142.14  thf(sP102,plain,sP102 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP102])])).
% 142.11/142.14  thf(sP103,plain,sP103 <=> ((~(((eigen__0 @ eigen__1) = eigen__1))) => ((r @ (eigen__0 @ eigen__1)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP103])])).
% 142.11/142.14  thf(sP104,plain,sP104 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP104])])).
% 142.11/142.14  thf(sP105,plain,sP105 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ eigen__1) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ eigen__1) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP105])])).
% 142.11/142.14  thf(sP106,plain,sP106 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP106])])).
% 142.11/142.14  thf(sP107,plain,sP107 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP28))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP107])])).
% 142.11/142.14  thf(sP108,plain,sP108 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP17 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP108])])).
% 142.11/142.14  thf(sP109,plain,sP109 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP72))))) => (~(sP91))),introduced(definition,[new_symbols(definition,[sP109])])).
% 142.11/142.14  thf(sP110,plain,sP110 <=> (![X1:$i]:((~(((~(sP9)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP110])])).
% 142.11/142.14  thf(sP111,plain,sP111 <=> ((~(((~((sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP111])])).
% 142.11/142.14  thf(sP112,plain,sP112 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP112])])).
% 142.11/142.14  thf(sP113,plain,sP113 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP113])])).
% 142.11/142.14  thf(sP114,plain,sP114 <=> (![X1:$i]:((~(((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP72))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP114])])).
% 142.11/142.14  thf(sP115,plain,sP115 <=> ((~(sP112)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP115])])).
% 142.11/142.14  thf(sP116,plain,sP116 <=> ((~((((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)))))))),introduced(definition,[new_symbols(definition,[sP116])])).
% 142.11/142.14  thf(sP117,plain,sP117 <=> ((~((((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__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP117])])).
% 142.11/142.14  thf(sP118,plain,sP118 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP118])])).
% 142.11/142.14  thf(sP119,plain,sP119 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (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__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP119])])).
% 142.11/142.14  thf(sP120,plain,sP120 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP23))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP120])])).
% 142.11/142.14  thf(sP121,plain,sP121 <=> (sP28 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP121])])).
% 142.11/142.14  thf(sP122,plain,sP122 <=> ((~((sP99 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP122])])).
% 142.11/142.14  thf(sP123,plain,sP123 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP123])])).
% 142.11/142.14  thf(sP124,plain,sP124 <=> (sP28 => (~(sP17))),introduced(definition,[new_symbols(definition,[sP124])])).
% 142.11/142.14  thf(sP125,plain,sP125 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP125])])).
% 142.11/142.14  thf(sP126,plain,sP126 <=> ((~(((~(sP124)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP126])])).
% 142.11/142.14  thf(sP127,plain,sP127 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP127])])).
% 142.11/142.14  thf(sP128,plain,sP128 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP128])])).
% 142.11/142.14  thf(sP129,plain,sP129 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP129])])).
% 142.11/142.14  thf(sP130,plain,sP130 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => sP3))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP130])])).
% 142.11/142.14  thf(sP131,plain,sP131 <=> (![X1:$i]:((~(((~(((~(sP49)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP131])])).
% 142.11/142.14  thf(sP132,plain,sP132 <=> (sP99 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP132])])).
% 142.11/142.14  thf(sP133,plain,sP133 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP133])])).
% 142.11/142.14  thf(sP134,plain,sP134 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP134])])).
% 142.11/142.14  thf(sP135,plain,sP135 <=> ((~(((~(sP44)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP135])])).
% 142.11/142.14  thf(sP136,plain,sP136 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP136])])).
% 142.11/142.14  thf(sP137,plain,sP137 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP137])])).
% 142.11/142.14  thf(sP138,plain,sP138 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP138])])).
% 142.11/142.14  thf(sP139,plain,sP139 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP139])])).
% 142.11/142.14  thf(sP140,plain,sP140 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP140])])).
% 142.11/142.14  thf(sP141,plain,sP141 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(sP45))))) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP141])])).
% 142.11/142.14  thf(sP142,plain,sP142 <=> ((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP142])])).
% 142.11/142.14  thf(sP143,plain,sP143 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP143])])).
% 142.11/142.14  thf(sP144,plain,sP144 <=> (![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 @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP144])])).
% 142.11/142.14  thf(sP145,plain,sP145 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))) => sP31),introduced(definition,[new_symbols(definition,[sP145])])).
% 142.11/142.14  thf(sP146,plain,sP146 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP146])])).
% 142.11/142.14  thf(sP147,plain,sP147 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP91))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP147])])).
% 142.11/142.14  thf(sP148,plain,sP148 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP148])])).
% 142.11/142.14  thf(sP149,plain,sP149 <=> ((~(sP127)) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP149])])).
% 142.11/142.14  thf(sP150,plain,sP150 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP150])])).
% 142.11/142.14  thf(sP151,plain,sP151 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP50))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP151])])).
% 142.11/142.14  thf(sP152,plain,sP152 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP75 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP152])])).
% 142.11/142.14  thf(sP153,plain,sP153 <=> ((~((sP2 => (~(((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__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP153])])).
% 142.11/142.14  thf(sP154,plain,sP154 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP154])])).
% 142.11/142.14  thf(sP155,plain,sP155 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP155])])).
% 142.11/142.14  thf(sP156,plain,sP156 <=> ((~(sP19)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP156])])).
% 142.11/142.14  thf(sP157,plain,sP157 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP157])])).
% 142.11/142.14  thf(sP158,plain,sP158 <=> ((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP134))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP158])])).
% 142.11/142.14  thf(sP159,plain,sP159 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (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)))))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP159])])).
% 142.11/142.14  thf(sP160,plain,sP160 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP91))))) => (~(((b @ (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__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP160])])).
% 142.11/142.14  thf(sP161,plain,sP161 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP161])])).
% 142.11/142.14  thf(sP162,plain,sP162 <=> ((~((sP84 => (~(sP91))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP162])])).
% 142.11/142.14  thf(sP163,plain,sP163 <=> ((~((sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP163])])).
% 142.11/142.14  thf(sP164,plain,sP164 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))),introduced(definition,[new_symbols(definition,[sP164])])).
% 142.11/142.14  thf(sP165,plain,sP165 <=> (sP99 => (~(sP91))),introduced(definition,[new_symbols(definition,[sP165])])).
% 142.11/142.14  thf(sP166,plain,sP166 <=> ((~(((~(((~((sP91 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP166])])).
% 142.11/142.14  thf(sP167,plain,sP167 <=> ((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP167])])).
% 142.11/142.14  thf(sP168,plain,sP168 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP168])])).
% 142.11/142.14  thf(sP169,plain,sP169 <=> (((b @ (eigen__0 @ eigen__1)) @ (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,[sP169])])).
% 142.11/142.14  thf(sP170,plain,sP170 <=> ((~((sP3 => (~(((r @ 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,[sP170])])).
% 142.11/142.14  thf(sP171,plain,sP171 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP72))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP171])])).
% 142.11/142.14  thf(sP172,plain,sP172 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP172])])).
% 142.11/142.14  thf(sP173,plain,sP173 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP173])])).
% 142.11/142.14  thf(sP174,plain,sP174 <=> (![X1:$i]:((~(((~(((~((sP99 => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP174])])).
% 142.11/142.14  thf(sP175,plain,sP175 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP23))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP175])])).
% 142.11/142.14  thf(sP176,plain,sP176 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP176])])).
% 142.11/142.14  thf(sP177,plain,sP177 <=> ((~(((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP177])])).
% 142.11/142.14  thf(sP178,plain,sP178 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP45))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (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)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP178])])).
% 142.11/142.14  thf(sP179,plain,sP179 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP179])])).
% 142.11/142.14  thf(sP180,plain,sP180 <=> ((~((sP2 => (~(sP17))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP180])])).
% 142.11/142.14  thf(sP181,plain,sP181 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP181])])).
% 142.11/142.14  thf(sP182,plain,sP182 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (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,[sP182])])).
% 142.11/142.14  thf(sP183,plain,sP183 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP134))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP183])])).
% 142.11/142.14  thf(sP184,plain,sP184 <=> ((~(((~(((~(sP118)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP184])])).
% 142.11/142.14  thf(sP185,plain,sP185 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP185])])).
% 142.11/142.14  thf(sP186,plain,sP186 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP186])])).
% 142.11/142.14  thf(sP187,plain,sP187 <=> (sP139 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP187])])).
% 142.11/142.14  thf(sP188,plain,sP188 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP134))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP188])])).
% 142.11/142.14  thf(sP189,plain,sP189 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP189])])).
% 142.11/142.14  thf(sP190,plain,sP190 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP134))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP190])])).
% 142.11/142.14  thf(sP191,plain,sP191 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP191])])).
% 142.11/142.14  thf(sP192,plain,sP192 <=> ((~(((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP50))))) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP192])])).
% 142.11/142.14  thf(sP193,plain,sP193 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP189))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP193])])).
% 142.11/142.14  thf(sP194,plain,sP194 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP51),introduced(definition,[new_symbols(definition,[sP194])])).
% 142.11/142.14  thf(sP195,plain,sP195 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP134))))) => (~(((b @ eigen__1) @ (eigen__0 @ (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__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP195])])).
% 142.11/142.14  thf(sP196,plain,sP196 <=> (![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,[sP196])])).
% 142.11/142.14  thf(sP197,plain,sP197 <=> ((~(((~((sP45 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP45))),introduced(definition,[new_symbols(definition,[sP197])])).
% 142.11/142.14  thf(sP198,plain,sP198 <=> ((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,[sP198])])).
% 142.11/142.14  thf(sP199,plain,sP199 <=> ((~(((~(((~(sP49)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP199])])).
% 142.11/142.14  thf(sP200,plain,sP200 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP134))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP200])])).
% 142.11/142.14  thf(sP201,plain,sP201 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP201])])).
% 142.11/142.14  thf(sP202,plain,sP202 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP202])])).
% 142.11/142.14  thf(sP203,plain,sP203 <=> ((~(((~(sP169)) => (~(sP72))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP203])])).
% 142.11/142.14  thf(sP204,plain,sP204 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ (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__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP204])])).
% 142.11/142.14  thf(sP205,plain,sP205 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP205])])).
% 142.11/142.14  thf(sP206,plain,sP206 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP206])])).
% 142.11/142.14  thf(sP207,plain,sP207 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP207])])).
% 142.11/142.14  thf(sP208,plain,sP208 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP208])])).
% 142.11/142.14  thf(sP209,plain,sP209 <=> ((~(((~((((b @ (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__1)))))) => (~(sP75))))) => (~(((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,[sP209])])).
% 142.11/142.14  thf(sP210,plain,sP210 <=> ((~(sP33)) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP210])])).
% 142.11/142.14  thf(sP211,plain,sP211 <=> ((~(((~(sP31)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP211])])).
% 142.11/142.14  thf(sP212,plain,sP212 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP212])])).
% 142.11/142.14  thf(sP213,plain,sP213 <=> (((b @ (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__1))))))),introduced(definition,[new_symbols(definition,[sP213])])).
% 142.11/142.14  thf(sP214,plain,sP214 <=> (![X1:$i]:((~(((~(sP67)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP214])])).
% 142.11/142.14  thf(sP215,plain,sP215 <=> ((~(sP30)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP215])])).
% 142.11/142.14  thf(sP216,plain,sP216 <=> (![X1:$i]:((~(((~(((~(sP44)) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP216])])).
% 142.11/142.14  thf(sP217,plain,sP217 <=> ((~(((~(((~(sP165)) => (~(sP72))))) => (~(sP99))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP217])])).
% 142.11/142.15  thf(sP218,plain,sP218 <=> ((~(sP93)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP218])])).
% 142.11/142.15  thf(sP219,plain,sP219 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP219])])).
% 142.11/142.15  thf(sP220,plain,sP220 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP220])])).
% 142.11/142.15  thf(sP221,plain,sP221 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP221])])).
% 142.11/142.15  thf(sP222,plain,sP222 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP222])])).
% 142.11/142.15  thf(sP223,plain,sP223 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP223])])).
% 142.11/142.15  thf(sP224,plain,sP224 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP224])])).
% 142.11/142.15  thf(sP225,plain,sP225 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP134))),introduced(definition,[new_symbols(definition,[sP225])])).
% 142.11/142.15  thf(sP226,plain,sP226 <=> ((~(sP71)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP226])])).
% 142.11/142.15  thf(sP227,plain,sP227 <=> (![X1:$i]:((~(((~((sP2 => (~(sP17))))) => (~(((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,[sP227])])).
% 142.11/142.15  thf(sP228,plain,sP228 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP228])])).
% 142.11/142.15  thf(sP229,plain,sP229 <=> ((~(((~(sP82)) => sP2))) => ((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,[sP229])])).
% 142.11/142.15  thf(sP230,plain,sP230 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP230])])).
% 142.11/142.15  thf(sP231,plain,sP231 <=> (![X1:$i]:((~(((~(sP124)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP231])])).
% 142.11/142.15  thf(sP232,plain,sP232 <=> (![X1:$i]:((~(((~((((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__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP232])])).
% 142.11/142.15  thf(sP233,plain,sP233 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP233])])).
% 142.11/142.15  thf(sP234,plain,sP234 <=> ((~(((~(sP201)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP234])])).
% 142.11/142.15  thf(sP235,plain,sP235 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP235])])).
% 142.11/142.15  thf(sP236,plain,sP236 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP139 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP236])])).
% 142.11/142.15  thf(sP237,plain,sP237 <=> ((~((sP189 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP237])])).
% 142.11/142.15  thf(sP238,plain,sP238 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP238])])).
% 142.11/142.15  thf(sP239,plain,sP239 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP239])])).
% 142.11/142.15  thf(sP240,plain,sP240 <=> ((~(sP203)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP240])])).
% 142.11/142.15  thf(sP241,plain,sP241 <=> (![X1:$i]:((~(((~(sP30)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP241])])).
% 142.11/142.15  thf(sP242,plain,sP242 <=> (sP17 => (~(sP155))),introduced(definition,[new_symbols(definition,[sP242])])).
% 142.11/142.15  thf(sP243,plain,sP243 <=> (![X1:$i]:((~(((~(((~((sP45 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP243])])).
% 142.11/142.15  thf(sP244,plain,sP244 <=> (![X1:$i]:((~(((~(sP35)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP244])])).
% 142.11/142.15  thf(sP245,plain,sP245 <=> ((~(sP169)) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP245])])).
% 142.11/142.15  thf(sP246,plain,sP246 <=> (![X1:$i]:((~(((~(((~((sP91 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP246])])).
% 142.11/142.15  thf(sP247,plain,sP247 <=> ((~(sP101)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP247])])).
% 142.11/142.15  thf(sP248,plain,sP248 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP248])])).
% 142.11/142.15  thf(sP249,plain,sP249 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(sP75))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP249])])).
% 142.11/142.15  thf(sP250,plain,sP250 <=> (sP100 => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP250])])).
% 142.11/142.15  thf(sP251,plain,sP251 <=> (sP84 => (~(sP91))),introduced(definition,[new_symbols(definition,[sP251])])).
% 142.11/142.15  thf(sP252,plain,sP252 <=> (![X1:$i]:((~(((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP134))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP252])])).
% 142.11/142.15  thf(sP253,plain,sP253 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP253])])).
% 142.11/142.15  thf(sP254,plain,sP254 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP254])])).
% 142.11/142.15  thf(sP255,plain,sP255 <=> ((~((sP155 => (~(sP207))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP255])])).
% 142.11/142.15  thf(sP256,plain,sP256 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(sP155))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP256])])).
% 142.11/142.15  thf(sP257,plain,sP257 <=> ((~((sP233 => (~(sP23))))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP257])])).
% 142.11/142.15  thf(sP258,plain,sP258 <=> ((~(((~((eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP50),introduced(definition,[new_symbols(definition,[sP258])])).
% 142.11/142.15  thf(sP259,plain,sP259 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP259])])).
% 142.11/142.15  thf(sP260,plain,sP260 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP260])])).
% 142.11/142.15  thf(sP261,plain,sP261 <=> (![X1:$i]:((~(((~(((~((sP208 => (~(sP75))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP261])])).
% 142.11/142.15  thf(sP262,plain,sP262 <=> ((~(sP85)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP262])])).
% 142.11/142.15  thf(sP263,plain,sP263 <=> (sP233 => (~(sP2))),introduced(definition,[new_symbols(definition,[sP263])])).
% 142.11/142.15  thf(sP264,plain,sP264 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP264])])).
% 142.11/142.15  thf(sP265,plain,sP265 <=> ((~((sP75 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP265])])).
% 142.11/142.15  thf(sP266,plain,sP266 <=> (sP3 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP266])])).
% 142.11/142.15  thf(sP267,plain,sP267 <=> ((~(((~(((~(sP187)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP267])])).
% 142.11/142.15  thf(sP268,plain,sP268 <=> ((~(sP121)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP268])])).
% 142.11/142.15  thf(sP269,plain,sP269 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP269])])).
% 142.11/142.15  thf(sP270,plain,sP270 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP270])])).
% 142.11/142.15  thf(sP271,plain,sP271 <=> ((~(sP119)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP271])])).
% 142.11/142.15  thf(sP272,plain,sP272 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (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__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP272])])).
% 142.11/142.15  thf(sP273,plain,sP273 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP207 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))),introduced(definition,[new_symbols(definition,[sP273])])).
% 142.11/142.15  thf(sP274,plain,sP274 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP274])])).
% 142.11/142.15  thf(sP275,plain,sP275 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP275])])).
% 142.11/142.15  thf(sP276,plain,sP276 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP276])])).
% 142.11/142.15  thf(sP277,plain,sP277 <=> ((~(sP223)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP277])])).
% 142.11/142.15  thf(sP278,plain,sP278 <=> ((~(sP55)) => sP233),introduced(definition,[new_symbols(definition,[sP278])])).
% 142.11/142.15  thf(sP279,plain,sP279 <=> ((~(sP238)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP279])])).
% 142.11/142.15  thf(sP280,plain,sP280 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP48 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))),introduced(definition,[new_symbols(definition,[sP280])])).
% 142.11/142.15  thf(sP281,plain,sP281 <=> ((~(sP64)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP281])])).
% 142.11/142.15  thf(sP282,plain,sP282 <=> ((~(sP83)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP282])])).
% 142.11/142.15  thf(sP283,plain,sP283 <=> ((~(sP197)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP283])])).
% 142.11/142.15  thf(sP284,plain,sP284 <=> (![X1:$i]:((~(((~((sP17 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP284])])).
% 142.11/142.15  thf(sP285,plain,sP285 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (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__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP285])])).
% 142.11/142.15  thf(sP286,plain,sP286 <=> (sP45 => (~(sP181))),introduced(definition,[new_symbols(definition,[sP286])])).
% 142.11/142.15  thf(sP287,plain,sP287 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP198))) => ((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,[sP287])])).
% 142.11/142.15  thf(sP288,plain,sP288 <=> ((~(sP200)) => (~(((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,[sP288])])).
% 142.11/142.15  thf(sP289,plain,sP289 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP289])])).
% 142.11/142.15  thf(sP290,plain,sP290 <=> ((~(sP25)) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP290])])).
% 142.11/142.15  thf(sP291,plain,sP291 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP28))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP28))),introduced(definition,[new_symbols(definition,[sP291])])).
% 142.11/142.15  thf(sP292,plain,sP292 <=> ((~(sP16)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP292])])).
% 142.11/142.15  thf(sP293,plain,sP293 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1))) => sP155))) => sP84),introduced(definition,[new_symbols(definition,[sP293])])).
% 142.11/142.15  thf(sP294,plain,sP294 <=> (![X1:$i]:((~(((~(sP238)) => (~(((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,[sP294])])).
% 142.11/142.15  thf(sP295,plain,sP295 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP134))),introduced(definition,[new_symbols(definition,[sP295])])).
% 142.11/142.15  thf(sP296,plain,sP296 <=> ((~((((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__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP155))),introduced(definition,[new_symbols(definition,[sP296])])).
% 142.11/142.15  thf(sP297,plain,sP297 <=> ((~(((~((sP17 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (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,[sP297])])).
% 142.11/142.15  thf(sP298,plain,sP298 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP185))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP298])])).
% 142.11/142.15  thf(sP299,plain,sP299 <=> (![X1:$i]:((~(((~(((~((sP208 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP299])])).
% 142.11/142.15  thf(sP300,plain,sP300 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP300])])).
% 142.11/142.15  thf(sP301,plain,sP301 <=> ((~(sP100)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP301])])).
% 142.11/142.15  thf(sP302,plain,sP302 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP302])])).
% 142.11/142.15  thf(sP303,plain,sP303 <=> (sP91 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP303])])).
% 142.11/142.15  thf(sP304,plain,sP304 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP207))),introduced(definition,[new_symbols(definition,[sP304])])).
% 142.11/142.15  thf(sP305,plain,sP305 <=> (sP189 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP305])])).
% 142.11/142.15  thf(sP306,plain,sP306 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP230 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP306])])).
% 142.11/142.15  thf(sP307,plain,sP307 <=> (![X1:$i]:((~(((~((sP233 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP307])])).
% 142.11/142.15  thf(sP308,plain,sP308 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP308])])).
% 142.11/142.15  thf(sP309,plain,sP309 <=> (![X1:$i]:((~(((~(((~(sP146)) => (~(((b @ 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))))),introduced(definition,[new_symbols(definition,[sP309])])).
% 142.11/142.15  thf(sP310,plain,sP310 <=> ((~(sP146)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP310])])).
% 142.11/142.15  thf(sP311,plain,sP311 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP28),introduced(definition,[new_symbols(definition,[sP311])])).
% 142.11/142.15  thf(sP312,plain,sP312 <=> ((~((sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP185))),introduced(definition,[new_symbols(definition,[sP312])])).
% 142.11/142.15  thf(sP313,plain,sP313 <=> ((~(((~(sP303)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP313])])).
% 142.11/142.15  thf(sP314,plain,sP314 <=> ((~(sP109)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP314])])).
% 142.11/142.15  thf(sP315,plain,sP315 <=> ((~((sP17 => (~(((r @ (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__1))))),introduced(definition,[new_symbols(definition,[sP315])])).
% 142.11/142.15  thf(sP316,plain,sP316 <=> (![X1:$i]:((~(((~(sP162)) => (~(((b @ (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,[sP316])])).
% 142.11/142.15  thf(sP317,plain,sP317 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP317])])).
% 142.11/142.15  thf(sP318,plain,sP318 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP318])])).
% 142.11/142.15  thf(sP319,plain,sP319 <=> ((~(sP303)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP319])])).
% 142.11/142.15  thf(sP320,plain,sP320 <=> ((~(((~(sP51)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))) => sP75),introduced(definition,[new_symbols(definition,[sP320])])).
% 142.11/142.15  thf(sP321,plain,sP321 <=> ((~((sP208 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP321])])).
% 142.11/142.15  thf(sP322,plain,sP322 <=> ((~(((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__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP322])])).
% 142.11/142.15  thf(sP323,plain,sP323 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP323])])).
% 142.11/142.15  thf(sP324,plain,sP324 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP324])])).
% 142.11/142.15  thf(sP325,plain,sP325 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)))) => sP48),introduced(definition,[new_symbols(definition,[sP325])])).
% 142.11/142.15  thf(sP326,plain,sP326 <=> ((~(((~(sP321)) => (~(sP208))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP326])])).
% 142.11/142.15  thf(sP327,plain,sP327 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP327])])).
% 142.11/142.15  thf(sP328,plain,sP328 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))),introduced(definition,[new_symbols(definition,[sP328])])).
% 142.11/142.15  thf(sP329,plain,sP329 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP208))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP329])])).
% 142.11/142.15  thf(sP330,plain,sP330 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP330])])).
% 142.11/142.15  thf(sP331,plain,sP331 <=> ((~(((~(sP116)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP75))),introduced(definition,[new_symbols(definition,[sP331])])).
% 142.11/142.15  thf(sP332,plain,sP332 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP332])])).
% 142.11/142.15  thf(sP333,plain,sP333 <=> ((~(sP206)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP333])])).
% 142.11/142.15  thf(sP334,plain,sP334 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP334])])).
% 142.11/142.15  thf(sP335,plain,sP335 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP335])])).
% 142.11/142.15  thf(sP336,plain,sP336 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))))) => (~(((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,[sP336])])).
% 142.11/142.15  thf(sP337,plain,sP337 <=> (sP45 => (~(((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,[sP337])])).
% 142.11/142.15  thf(sP338,plain,sP338 <=> ((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (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,[sP338])])).
% 142.11/142.15  thf(sP339,plain,sP339 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP72))))) => (~(sP334))),introduced(definition,[new_symbols(definition,[sP339])])).
% 142.11/142.15  thf(sP340,plain,sP340 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP17))) => sP208),introduced(definition,[new_symbols(definition,[sP340])])).
% 142.11/142.15  thf(sP341,plain,sP341 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP341])])).
% 142.11/142.15  thf(sP342,plain,sP342 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP342])])).
% 142.11/142.15  thf(sP343,plain,sP343 <=> (![X1:$i]:((~(((~(sP226)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP343])])).
% 142.11/142.15  thf(sP344,plain,sP344 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP104),introduced(definition,[new_symbols(definition,[sP344])])).
% 142.11/142.15  thf(sP345,plain,sP345 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP345])])).
% 142.11/142.15  thf(sP346,plain,sP346 <=> (![X1:$i]:((~(((~(sP266)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP346])])).
% 142.11/142.15  thf(sP347,plain,sP347 <=> (![X1:$i]:((~(((~(sP191)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP347])])).
% 142.11/142.15  thf(sP348,plain,sP348 <=> ((~(((~((sP208 => (~(sP75))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP348])])).
% 142.11/142.15  thf(sP349,plain,sP349 <=> (sP308 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP349])])).
% 142.11/142.15  thf(sP350,plain,sP350 <=> ((~((sP318 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP350])])).
% 142.11/142.15  thf(sP351,plain,sP351 <=> ((~(((~(sP115)) => (~(sP139))))) => (~(sP230))),introduced(definition,[new_symbols(definition,[sP351])])).
% 142.11/142.15  thf(sP352,plain,sP352 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP352])])).
% 142.11/142.15  thf(sP353,plain,sP353 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP353])])).
% 142.11/142.15  thf(sP354,plain,sP354 <=> (sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP354])])).
% 142.11/142.15  thf(sP355,plain,sP355 <=> (sP3 => (~(sP207))),introduced(definition,[new_symbols(definition,[sP355])])).
% 142.11/142.15  thf(sP356,plain,sP356 <=> (sP330 => (~(sP23))),introduced(definition,[new_symbols(definition,[sP356])])).
% 142.11/142.15  thf(sP357,plain,sP357 <=> (![X1:$i]:((~(((~(sP289)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP357])])).
% 142.11/142.15  thf(sP358,plain,sP358 <=> (sP208 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP358])])).
% 142.11/142.15  thf(sP359,plain,sP359 <=> (![X1:$i]:((~(((~(sP32)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP359])])).
% 142.11/142.15  thf(sP360,plain,sP360 <=> ((~(((~(((~((sP208 => (~(sP75))))) => (~(sP84))))) => (~(sP208))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP360])])).
% 142.11/142.15  thf(sP361,plain,sP361 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP361])])).
% 142.11/142.15  thf(sP362,plain,sP362 <=> (![X1:$i]:((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (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,[sP362])])).
% 142.11/142.15  thf(sP363,plain,sP363 <=> (![X1:$i]:(![X2:$i]:((~(((~((((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__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP363])])).
% 142.11/142.15  thf(sP364,plain,sP364 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))),introduced(definition,[new_symbols(definition,[sP364])])).
% 142.11/142.15  thf(sP365,plain,sP365 <=> ((~(sP18)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP365])])).
% 142.11/142.15  thf(sP366,plain,sP366 <=> ((~(sP188)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP366])])).
% 142.11/142.15  thf(sP367,plain,sP367 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP367])])).
% 142.11/142.15  thf(sP368,plain,sP368 <=> (![X1:$i]:((~(((~(sP329)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP368])])).
% 142.11/142.15  thf(sP369,plain,sP369 <=> (sP318 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP369])])).
% 142.11/142.15  thf(sP370,plain,sP370 <=> (![X1:$i]:((~(((~(sP109)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP370])])).
% 142.11/142.15  thf(sP371,plain,sP371 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP371])])).
% 142.11/142.15  thf(sP372,plain,sP372 <=> ((~(sP187)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP372])])).
% 142.11/142.15  thf(sP373,plain,sP373 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP373])])).
% 142.11/142.15  thf(sP374,plain,sP374 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP374])])).
% 142.11/142.15  thf(sP375,plain,sP375 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP181))),introduced(definition,[new_symbols(definition,[sP375])])).
% 142.11/142.15  thf(sP376,plain,sP376 <=> ((~(((~(sP286)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP45))),introduced(definition,[new_symbols(definition,[sP376])])).
% 142.11/142.15  thf(sP377,plain,sP377 <=> ((~(sP321)) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP377])])).
% 142.11/142.15  thf(sP378,plain,sP378 <=> (sP371 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP378])])).
% 142.11/142.15  thf(sP379,plain,sP379 <=> ((~((sP2 => (~(sP17))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP379])])).
% 142.11/142.15  thf(sP380,plain,sP380 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP380])])).
% 142.11/142.15  thf(sP381,plain,sP381 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP381])])).
% 142.11/142.15  thf(sP382,plain,sP382 <=> ((~(((~(sP35)) => (~(sP230))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP382])])).
% 142.11/142.15  thf(sP383,plain,sP383 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP383])])).
% 142.11/142.15  thf(sP384,plain,sP384 <=> (sP48 => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP384])])).
% 142.11/142.15  thf(sP385,plain,sP385 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~((((r @ X1) @ X2) => (~(((r @ X2) @ X3)))))) => (~(((r @ X1) @ X4)))))) => (~(((r @ X2) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP385])])).
% 142.11/142.15  thf(sP386,plain,sP386 <=> ((~(sP116)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP386])])).
% 142.11/142.15  thf(sP387,plain,sP387 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP323))),introduced(definition,[new_symbols(definition,[sP387])])).
% 142.11/142.15  thf(sP388,plain,sP388 <=> ((~(sP354)) => (~(sP134))),introduced(definition,[new_symbols(definition,[sP388])])).
% 142.11/142.15  thf(sP389,plain,sP389 <=> (sP55 => ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP389])])).
% 142.11/142.15  thf(sP390,plain,sP390 <=> ((~(sP383)) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP390])])).
% 142.11/142.15  thf(sP391,plain,sP391 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP391])])).
% 142.11/142.15  thf(sP392,plain,sP392 <=> (![X1:$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,[sP392])])).
% 142.11/142.15  thf(sP393,plain,sP393 <=> ((~(((~(((~((sP99 => (~(sP84))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP99))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP393])])).
% 142.11/142.15  thf(sP394,plain,sP394 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP394])])).
% 142.11/142.15  thf(sP395,plain,sP395 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP395])])).
% 142.11/142.15  thf(sP396,plain,sP396 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP396])])).
% 142.11/142.15  thf(sP397,plain,sP397 <=> ((~(((~(sP272)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP230))),introduced(definition,[new_symbols(definition,[sP397])])).
% 142.11/142.15  thf(sP398,plain,sP398 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP398])])).
% 142.11/142.15  thf(sP399,plain,sP399 <=> ((~(((~((sP50 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP399])])).
% 142.11/142.15  thf(sP400,plain,sP400 <=> ((~(((~(sP248)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP400])])).
% 142.11/142.15  thf(sP401,plain,sP401 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP401])])).
% 142.11/142.15  thf(sP402,plain,sP402 <=> ((~(sP262)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP402])])).
% 142.11/142.15  thf(sP403,plain,sP403 <=> ((~(sP65)) => (~(sP155))),introduced(definition,[new_symbols(definition,[sP403])])).
% 142.11/142.15  thf(sP404,plain,sP404 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(sP308))),introduced(definition,[new_symbols(definition,[sP404])])).
% 142.11/142.15  thf(sP405,plain,sP405 <=> (sP50 => (~(sP334))),introduced(definition,[new_symbols(definition,[sP405])])).
% 142.11/142.15  thf(sP406,plain,sP406 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP334))),introduced(definition,[new_symbols(definition,[sP406])])).
% 142.11/142.15  thf(sP407,plain,sP407 <=> ((~(sP35)) => (~(sP230))),introduced(definition,[new_symbols(definition,[sP407])])).
% 142.11/142.15  thf(sP408,plain,sP408 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP408])])).
% 142.11/142.15  thf(sP409,plain,sP409 <=> ((~(sP215)) => (~(sP207))),introduced(definition,[new_symbols(definition,[sP409])])).
% 142.11/142.15  thf(sP410,plain,sP410 <=> ((~(((~((sP230 => (~(sP72))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP230))),introduced(definition,[new_symbols(definition,[sP410])])).
% 142.11/142.15  thf(sP411,plain,sP411 <=> ((~(sP375)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP411])])).
% 142.11/142.15  thf(sP412,plain,sP412 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP412])])).
% 142.11/142.15  thf(sP413,plain,sP413 <=> ((~(sP51)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP413])])).
% 142.11/142.15  thf(sP414,plain,sP414 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP230))))) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP414])])).
% 142.11/142.15  thf(sP415,plain,sP415 <=> ((~(sP384)) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP415])])).
% 142.11/142.15  thf(sP416,plain,sP416 <=> (((b @ (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__1)))),introduced(definition,[new_symbols(definition,[sP416])])).
% 142.11/142.15  thf(sP417,plain,sP417 <=> ((~(((~(sP388)) => (~(sP334))))) => (~(((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,[sP417])])).
% 142.11/142.15  thf(sP418,plain,sP418 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP418])])).
% 142.11/142.15  thf(sP419,plain,sP419 <=> ((~((sP230 => (~(sP134))))) => (~(sP323))),introduced(definition,[new_symbols(definition,[sP419])])).
% 142.11/142.15  thf(sP420,plain,sP420 <=> (![X1:$i]:((~(((~(((~((sP50 => (~(sP412))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP420])])).
% 142.11/142.15  thf(sP421,plain,sP421 <=> ((~(sP311)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP421])])).
% 142.11/142.15  thf(sP422,plain,sP422 <=> ((~(((~(sP30)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP422])])).
% 142.11/142.15  thf(sP423,plain,sP423 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP423])])).
% 142.11/142.15  thf(sP424,plain,sP424 <=> ((~(((~(((~(sP44)) => (~(sP139))))) => (~(sP84))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP424])])).
% 142.11/142.15  thf(sP425,plain,sP425 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP425])])).
% 142.11/142.15  thf(sP426,plain,sP426 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(sP45))),introduced(definition,[new_symbols(definition,[sP426])])).
% 142.11/142.15  thf(sP427,plain,sP427 <=> ((~(((~(((~(sP406)) => (~(sP91))))) => (~(sP412))))) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP427])])).
% 142.11/142.15  thf(sP428,plain,sP428 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP425 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP428])])).
% 142.11/142.15  thf(sP429,plain,sP429 <=> ((~(sP44)) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP429])])).
% 142.11/142.15  thf(sP430,plain,sP430 <=> ((~(sP81)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP430])])).
% 142.11/142.15  thf(sP431,plain,sP431 <=> ((~(sP415)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP431])])).
% 142.11/142.15  thf(sP432,plain,sP432 <=> ((~(sP20)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP432])])).
% 142.11/142.15  thf(sP433,plain,sP433 <=> ((~(sP133)) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP433])])).
% 142.11/142.15  thf(sP434,plain,sP434 <=> ((~(sP248)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP434])])).
% 142.11/142.15  thf(sP435,plain,sP435 <=> ((~(sP239)) => (~(sP155))),introduced(definition,[new_symbols(definition,[sP435])])).
% 142.11/142.15  thf(sP436,plain,sP436 <=> (sP2 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP436])])).
% 142.11/142.15  thf(sP437,plain,sP437 <=> (sP395 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP437])])).
% 142.11/142.15  thf(sP438,plain,sP438 <=> ((~(sP157)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP438])])).
% 142.11/142.15  thf(sP439,plain,sP439 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP208 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP439])])).
% 142.11/142.15  thf(sP440,plain,sP440 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP440])])).
% 142.11/142.15  thf(sP441,plain,sP441 <=> ((~(sP355)) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP441])])).
% 142.11/142.15  thf(sP442,plain,sP442 <=> (sP208 => (~(sP75))),introduced(definition,[new_symbols(definition,[sP442])])).
% 142.11/142.15  thf(sP443,plain,sP443 <=> (![X1:$i]:((~(((~((sP361 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP443])])).
% 142.11/142.15  thf(sP444,plain,sP444 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))),introduced(definition,[new_symbols(definition,[sP444])])).
% 142.11/142.15  thf(sP445,plain,sP445 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP445])])).
% 142.11/142.15  thf(sP446,plain,sP446 <=> ((~((sP230 => (~(sP72))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP446])])).
% 142.11/142.15  thf(sP447,plain,sP447 <=> ((~(sP117)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP447])])).
% 142.11/142.15  thf(sP448,plain,sP448 <=> (![X1:$i]:((~(((~(sP41)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP448])])).
% 142.11/142.15  thf(sP449,plain,sP449 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP418 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP449])])).
% 142.11/142.15  thf(sP450,plain,sP450 <=> ((~((sP394 => (~(sP425))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP450])])).
% 142.11/142.15  thf(sP451,plain,sP451 <=> (sP330 => (~(sP185))),introduced(definition,[new_symbols(definition,[sP451])])).
% 142.11/142.15  thf(sP452,plain,sP452 <=> ((~(sP295)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP452])])).
% 142.11/142.15  thf(sP453,plain,sP453 <=> ((~(sP149)) => sP72),introduced(definition,[new_symbols(definition,[sP453])])).
% 142.11/142.15  thf(sP454,plain,sP454 <=> ((~((sP233 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP454])])).
% 142.11/142.15  thf(sP455,plain,sP455 <=> (![X1:$i]:((~(((~(((~(sP213)) => (~(sP208))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP455])])).
% 142.11/142.15  thf(sP456,plain,sP456 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP456])])).
% 142.11/142.15  thf(sP457,plain,sP457 <=> ((~(((~(sP329)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP457])])).
% 142.11/142.15  thf(sP458,plain,sP458 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP233 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP458])])).
% 142.11/142.15  thf(sP459,plain,sP459 <=> ((~(sP452)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP459])])).
% 142.11/142.15  thf(sP460,plain,sP460 <=> (sP198 => (~(sP185))),introduced(definition,[new_symbols(definition,[sP460])])).
% 142.11/142.15  thf(sP461,plain,sP461 <=> ((~(sP154)) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP461])])).
% 142.11/142.15  thf(sP462,plain,sP462 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP189),introduced(definition,[new_symbols(definition,[sP462])])).
% 142.11/142.15  thf(sP463,plain,sP463 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP463])])).
% 142.11/142.15  thf(sP464,plain,sP464 <=> ((~(sP76)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP464])])).
% 142.11/142.15  thf(sP465,plain,sP465 <=> ((~((sP189 => (~(sP155))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP465])])).
% 142.11/142.15  thf(sP466,plain,sP466 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP466])])).
% 142.11/142.15  thf(sP467,plain,sP467 <=> (![X1:$i]:((~(((~(sP339)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP467])])).
% 142.11/142.15  thf(sP468,plain,sP468 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP468])])).
% 142.11/142.15  thf(sP469,plain,sP469 <=> ((~(sP257)) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP469])])).
% 142.11/142.15  thf(sP470,plain,sP470 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP470])])).
% 142.11/142.15  thf(sP471,plain,sP471 <=> ((~(((~((sP466 => (~(sP48))))) => (~(sP207))))) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP471])])).
% 142.11/142.15  thf(sP472,plain,sP472 <=> ((~((sP466 => (~(sP48))))) => (~(sP207))),introduced(definition,[new_symbols(definition,[sP472])])).
% 142.11/142.15  thf(sP473,plain,sP473 <=> ((~(sP441)) => (~(sP207))),introduced(definition,[new_symbols(definition,[sP473])])).
% 142.11/142.15  thf(sP474,plain,sP474 <=> ((~(sP165)) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP474])])).
% 142.11/142.15  thf(sP475,plain,sP475 <=> ((~(sP465)) => (~(sP155))),introduced(definition,[new_symbols(definition,[sP475])])).
% 142.11/142.15  thf(sP476,plain,sP476 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP476])])).
% 142.11/142.15  thf(sP477,plain,sP477 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP477])])).
% 142.11/142.15  thf(sP478,plain,sP478 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP189))),introduced(definition,[new_symbols(definition,[sP478])])).
% 142.11/142.15  thf(sP479,plain,sP479 <=> ((~((sP17 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP479])])).
% 142.11/142.15  thf(sP480,plain,sP480 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP480])])).
% 142.11/142.15  thf(sP481,plain,sP481 <=> (![X1:$i]:((~(((~(sP272)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP481])])).
% 142.11/142.15  thf(sP482,plain,sP482 <=> ((~(((~(sP204)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP482])])).
% 142.11/142.15  thf(sP483,plain,sP483 <=> (![X1:$i]:((~(((~(sP204)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP483])])).
% 142.11/142.15  thf(sP484,plain,sP484 <=> ((~(sP265)) => (~(sP75))),introduced(definition,[new_symbols(definition,[sP484])])).
% 142.11/142.15  thf(sP485,plain,sP485 <=> ((~(((~(sP426)) => (~(sP139))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP485])])).
% 142.11/142.15  thf(sP486,plain,sP486 <=> ((~(sP237)) => (~(sP361))),introduced(definition,[new_symbols(definition,[sP486])])).
% 142.11/142.15  thf(sP487,plain,sP487 <=> (sP308 => (~(sP155))),introduced(definition,[new_symbols(definition,[sP487])])).
% 142.11/142.15  thf(sP488,plain,sP488 <=> ((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,[sP488])])).
% 142.11/142.15  thf(sP489,plain,sP489 <=> ((~(sP67)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP489])])).
% 142.11/142.15  thf(sP490,plain,sP490 <=> (sP233 => (~(sP23))),introduced(definition,[new_symbols(definition,[sP490])])).
% 142.11/142.15  thf(sP491,plain,sP491 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP91))),introduced(definition,[new_symbols(definition,[sP491])])).
% 142.11/142.15  thf(sP492,plain,sP492 <=> ((~((sP99 => (~(sP84))))) => (~(sP418))),introduced(definition,[new_symbols(definition,[sP492])])).
% 142.11/142.15  thf(sP493,plain,sP493 <=> ((~(sP487)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP493])])).
% 142.11/142.15  thf(sP494,plain,sP494 <=> (sP99 => (~(sP84))),introduced(definition,[new_symbols(definition,[sP494])])).
% 142.11/142.15  thf(sP495,plain,sP495 <=> ((~(sP204)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP495])])).
% 142.11/142.15  thf(sP496,plain,sP496 <=> (![X1:$i]:((~(((~(sP474)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP496])])).
% 142.11/142.15  thf(sP497,plain,sP497 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP497])])).
% 142.11/142.15  thf(sP498,plain,sP498 <=> ((~(sP310)) => (~(sP418))),introduced(definition,[new_symbols(definition,[sP498])])).
% 142.11/142.15  thf(sP499,plain,sP499 <=> ((~(sP225)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP499])])).
% 142.11/142.15  thf(sP500,plain,sP500 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP394 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP500])])).
% 142.11/142.15  thf(sP501,plain,sP501 <=> (sP230 => (~(sP72))),introduced(definition,[new_symbols(definition,[sP501])])).
% 142.11/142.15  thf(sP502,plain,sP502 <=> ((~(((~(sP442)) => (~(sP84))))) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP502])])).
% 142.11/142.15  thf(sP503,plain,sP503 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))) => sP248),introduced(definition,[new_symbols(definition,[sP503])])).
% 142.11/142.15  thf(sP504,plain,sP504 <=> ((~(sP89)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP504])])).
% 142.11/142.15  thf(sP505,plain,sP505 <=> (![X1:$i]:((~(((~(sP487)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP505])])).
% 142.11/142.15  thf(sP506,plain,sP506 <=> ((~(sP390)) => sP334),introduced(definition,[new_symbols(definition,[sP506])])).
% 142.11/142.15  thf(sP507,plain,sP507 <=> ((~(sP504)) => (~(sP308))),introduced(definition,[new_symbols(definition,[sP507])])).
% 142.11/142.15  thf(sP508,plain,sP508 <=> (sP233 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP508])])).
% 142.11/142.15  thf(sP509,plain,sP509 <=> (sP274 => sP470),introduced(definition,[new_symbols(definition,[sP509])])).
% 142.11/142.15  thf(sP510,plain,sP510 <=> ((~((sP139 => (~(sP412))))) => (~(sP425))),introduced(definition,[new_symbols(definition,[sP510])])).
% 142.11/142.15  thf(sP511,plain,sP511 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1))) => sP155),introduced(definition,[new_symbols(definition,[sP511])])).
% 142.11/142.17  thf(sP512,plain,sP512 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP512])])).
% 142.11/142.17  thf(sP513,plain,sP513 <=> ((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,[sP513])])).
% 142.11/142.17  thf(sP514,plain,sP514 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(sP155))),introduced(definition,[new_symbols(definition,[sP514])])).
% 142.11/142.17  thf(sP515,plain,sP515 <=> (sP189 => (~(sP155))),introduced(definition,[new_symbols(definition,[sP515])])).
% 142.11/142.17  thf(sP516,plain,sP516 <=> ((~(sP325)) => sP230),introduced(definition,[new_symbols(definition,[sP516])])).
% 142.11/142.17  thf(sP517,plain,sP517 <=> (![X1:$i]:(![X2:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ eigen__1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP517])])).
% 142.11/142.17  thf(sP518,plain,sP518 <=> (sP50 => (~(sP412))),introduced(definition,[new_symbols(definition,[sP518])])).
% 142.11/142.17  thf(sP519,plain,sP519 <=> (sP361 => (~(sP28))),introduced(definition,[new_symbols(definition,[sP519])])).
% 142.11/142.17  thf(sP520,plain,sP520 <=> ((~(sP272)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP520])])).
% 142.11/142.17  thf(sP521,plain,sP521 <=> (sP75 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP521])])).
% 142.11/142.17  thf(sP522,plain,sP522 <=> (sP394 => (~(sP323))),introduced(definition,[new_symbols(definition,[sP522])])).
% 142.11/142.17  thf(sP523,plain,sP523 <=> ((~(sP451)) => (~(sP466))),introduced(definition,[new_symbols(definition,[sP523])])).
% 142.11/142.17  thf(sP524,plain,sP524 <=> ((~(sP97)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP524])])).
% 142.11/142.17  thf(sP525,plain,sP525 <=> ((~(((~((sP2 => (~(sP17))))) => (~(sP23))))) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP525])])).
% 142.11/142.17  thf(sP526,plain,sP526 <=> ((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,[sP526])])).
% 142.11/142.17  thf(sP527,plain,sP527 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP527])])).
% 142.11/142.17  thf(sP528,plain,sP528 <=> ((~(sP498)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP528])])).
% 142.11/142.17  thf(sP529,plain,sP529 <=> (![X1:$i]:((~(((~(sP8)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP529])])).
% 142.11/142.17  thf(sP530,plain,sP530 <=> ((~(sP219)) => (~(sP48))),introduced(definition,[new_symbols(definition,[sP530])])).
% 142.11/142.17  thf(sP531,plain,sP531 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP531])])).
% 142.11/142.17  thf(sP532,plain,sP532 <=> (sP155 => (~(sP207))),introduced(definition,[new_symbols(definition,[sP532])])).
% 142.11/142.17  thf(sP533,plain,sP533 <=> (sP497 => (~(sP425))),introduced(definition,[new_symbols(definition,[sP533])])).
% 142.11/142.17  thf(sP534,plain,sP534 <=> (![X1:$i]:((~(((~(sP265)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP534])])).
% 142.11/142.17  thf(sP535,plain,sP535 <=> (![X1:$i]:((~(((~(sP372)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP535])])).
% 142.11/142.17  thf(sP536,plain,sP536 <=> ((~(sP518)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP536])])).
% 142.11/142.17  thf(sP537,plain,sP537 <=> ((~(sP435)) => (~(sP531))),introduced(definition,[new_symbols(definition,[sP537])])).
% 142.11/142.17  thf(sP538,plain,sP538 <=> (![X1:$i]:((~(((~(sP115)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP538])])).
% 142.11/142.17  thf(sP539,plain,sP539 <=> (sP480 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP539])])).
% 142.11/142.17  thf(sP540,plain,sP540 <=> ((~(sP60)) => ((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,[sP540])])).
% 142.11/142.17  thf(sP541,plain,sP541 <=> ((~(sP372)) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP541])])).
% 142.11/142.17  thf(sP542,plain,sP542 <=> ((~((sP380 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP542])])).
% 142.11/142.17  thf(sP543,plain,sP543 <=> ((~(sP129)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP543])])).
% 142.11/142.17  thf(sP544,plain,sP544 <=> ((~(sP103)) => sP497),introduced(definition,[new_symbols(definition,[sP544])])).
% 142.11/142.17  thf(sP545,plain,sP545 <=> (![X1:$i]:((~(((~(sP54)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP545])])).
% 142.11/142.17  thf(sP546,plain,sP546 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP488 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP546])])).
% 142.11/142.17  thf(sP547,plain,sP547 <=> ((~(sP32)) => (~(sP380))),introduced(definition,[new_symbols(definition,[sP547])])).
% 142.11/142.17  thf(sP548,plain,sP548 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP548])])).
% 142.11/142.17  thf(sP549,plain,sP549 <=> ((~(((~(sP274)) => sP207))) => sP139),introduced(definition,[new_symbols(definition,[sP549])])).
% 142.11/142.17  thf(sP550,plain,sP550 <=> ((~(sP519)) => (~(sP318))),introduced(definition,[new_symbols(definition,[sP550])])).
% 142.11/142.17  thf(sP551,plain,sP551 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP45 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP551])])).
% 142.11/142.17  thf(sP552,plain,sP552 <=> ((~((sP2 => (~(sP17))))) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP552])])).
% 142.11/142.17  thf(sP553,plain,sP553 <=> ((~(sP22)) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP553])])).
% 142.11/142.17  thf(sP554,plain,sP554 <=> (![X1:$i]:((~(((~(sP384)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP554])])).
% 142.11/142.17  thf(sP555,plain,sP555 <=> (sP497 => (~(sP394))),introduced(definition,[new_symbols(definition,[sP555])])).
% 142.11/142.17  thf(sP556,plain,sP556 <=> ((~(sP58)) => (~(sP394))),introduced(definition,[new_symbols(definition,[sP556])])).
% 142.11/142.17  thf(sP557,plain,sP557 <=> ((~(sP82)) => sP2),introduced(definition,[new_symbols(definition,[sP557])])).
% 142.11/142.17  thf(sP558,plain,sP558 <=> ((~(sP255)) => (~(sP207))),introduced(definition,[new_symbols(definition,[sP558])])).
% 142.11/142.17  thf(sP559,plain,sP559 <=> (sP318 => (~(sP548))),introduced(definition,[new_symbols(definition,[sP559])])).
% 142.11/142.17  thf(sP560,plain,sP560 <=> (sP466 => (~(sP48))),introduced(definition,[new_symbols(definition,[sP560])])).
% 142.11/142.17  thf(sP561,plain,sP561 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP561])])).
% 142.11/142.17  thf(sP562,plain,sP562 <=> ((~(((~(sP406)) => (~(sP91))))) => (~(sP412))),introduced(definition,[new_symbols(definition,[sP562])])).
% 142.11/142.17  thf(sP563,plain,sP563 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP563])])).
% 142.11/142.17  thf(sP564,plain,sP564 <=> ((~((((b @ (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__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP412))),introduced(definition,[new_symbols(definition,[sP564])])).
% 142.11/142.17  thf(sP565,plain,sP565 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP3 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ eigen__1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP565])])).
% 142.11/142.17  thf(sP566,plain,sP566 <=> ((~(sP484)) => (~(sP497))),introduced(definition,[new_symbols(definition,[sP566])])).
% 142.11/142.17  thf(sP567,plain,sP567 <=> (sP361 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP567])])).
% 142.11/142.17  thf(sP568,plain,sP568 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP568])])).
% 142.11/142.17  thf(sP569,plain,sP569 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP531 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ eigen__1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP569])])).
% 142.11/142.17  thf(sP570,plain,sP570 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP198 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP570])])).
% 142.11/142.17  thf(sP571,plain,sP571 <=> (((b @ (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__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP571])])).
% 142.11/142.17  thf(sP572,plain,sP572 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP572])])).
% 142.11/142.17  thf(sP573,plain,sP573 <=> (sP139 => (~(sP412))),introduced(definition,[new_symbols(definition,[sP573])])).
% 142.11/142.17  thf(sP574,plain,sP574 <=> (![X1:$i]:((~(((~(sP369)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP574])])).
% 142.11/142.17  thf(sP575,plain,sP575 <=> ((~(sP388)) => (~(sP334))),introduced(definition,[new_symbols(definition,[sP575])])).
% 142.11/142.17  thf(sP576,plain,sP576 <=> (![X1:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))))) => (~(((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,[sP576])])).
% 142.11/142.17  thf(sP577,plain,sP577 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP577])])).
% 142.11/142.17  thf(sP578,plain,sP578 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ eigen__1) @ X1) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ eigen__1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP578])])).
% 142.11/142.17  thf(sP579,plain,sP579 <=> (![X1:$i]:((~(((~(((~(sP555)) => (~(sP50))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP579])])).
% 142.11/142.17  thf(sP580,plain,sP580 <=> (![X1:$i]:((~(((~(sP559)) => (~(((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,[sP580])])).
% 142.11/142.17  thf(sP581,plain,sP581 <=> ((~(sP406)) => (~(sP91))),introduced(definition,[new_symbols(definition,[sP581])])).
% 142.11/142.17  thf(sP582,plain,sP582 <=> ((~(sP429)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP582])])).
% 142.11/142.17  thf(sP583,plain,sP583 <=> ((~(sP49)) => (~(sP527))),introduced(definition,[new_symbols(definition,[sP583])])).
% 142.11/142.17  thf(sP584,plain,sP584 <=> ((~(((~(sP118)) => (~(sP323))))) => (~(sP334))),introduced(definition,[new_symbols(definition,[sP584])])).
% 142.11/142.17  thf(sP585,plain,sP585 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP585])])).
% 142.11/142.17  thf(sP586,plain,sP586 <=> ((~(sP555)) => (~(sP50))),introduced(definition,[new_symbols(definition,[sP586])])).
% 142.11/142.17  thf(sP587,plain,sP587 <=> (sP480 => (~(sP531))),introduced(definition,[new_symbols(definition,[sP587])])).
% 142.11/142.17  thf(sP588,plain,sP588 <=> ((~(sP213)) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP588])])).
% 142.11/142.17  thf(sP589,plain,sP589 <=> ((~(sP86)) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP589])])).
% 142.11/142.17  thf(sP590,plain,sP590 <=> ((~(sP426)) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP590])])).
% 142.11/142.17  thf(sP591,plain,sP591 <=> ((~(sP143)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP591])])).
% 142.11/142.17  thf(sP592,plain,sP592 <=> ((~(sP337)) => (~(sP425))),introduced(definition,[new_symbols(definition,[sP592])])).
% 142.11/142.17  thf(sP593,plain,sP593 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP593])])).
% 142.11/142.17  thf(sP594,plain,sP594 <=> ((~(sP314)) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP594])])).
% 142.11/142.17  thf(sP595,plain,sP595 <=> ((~(sP474)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP595])])).
% 142.11/142.17  thf(sP596,plain,sP596 <=> ((~(sP440)) => sP198),introduced(definition,[new_symbols(definition,[sP596])])).
% 142.11/142.17  thf(sP597,plain,sP597 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP597])])).
% 142.11/142.17  thf(sP598,plain,sP598 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP28 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP598])])).
% 142.11/142.17  thf(sP599,plain,sP599 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP308 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP599])])).
% 142.11/142.17  thf(sP600,plain,sP600 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP600])])).
% 142.11/142.17  thf(sP601,plain,sP601 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP601])])).
% 142.11/142.17  thf(sP602,plain,sP602 <=> ((~(sP395)) => sP466),introduced(definition,[new_symbols(definition,[sP602])])).
% 142.11/142.17  thf(sP603,plain,sP603 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => sP3),introduced(definition,[new_symbols(definition,[sP603])])).
% 142.11/142.17  thf(sP604,plain,sP604 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP604])])).
% 142.11/142.17  thf(sP605,plain,sP605 <=> ((~(sP118)) => (~(sP323))),introduced(definition,[new_symbols(definition,[sP605])])).
% 142.11/142.17  thf(sP606,plain,sP606 <=> ((~(((~(sP477)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP99),introduced(definition,[new_symbols(definition,[sP606])])).
% 142.11/142.17  thf(sP607,plain,sP607 <=> (![X1:$i]:((~(((~(sP122)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP607])])).
% 142.11/142.17  thf(sP608,plain,sP608 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP466))),introduced(definition,[new_symbols(definition,[sP608])])).
% 142.11/142.17  thf(sP609,plain,sP609 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP609])])).
% 142.11/142.17  thf(sP610,plain,sP610 <=> ((~(sP454)) => (~(sP512))),introduced(definition,[new_symbols(definition,[sP610])])).
% 142.11/142.17  thf(sP611,plain,sP611 <=> ((~(sP301)) => sP91),introduced(definition,[new_symbols(definition,[sP611])])).
% 142.11/142.17  thf(sP612,plain,sP612 <=> ((~(sP583)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP612])])).
% 142.11/142.17  thf(sP613,plain,sP613 <=> ((~(sP442)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP613])])).
% 142.11/142.17  thf(sP614,plain,sP614 <=> ((~(((~(sP491)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP585))),introduced(definition,[new_symbols(definition,[sP614])])).
% 142.11/142.17  thf(sP615,plain,sP615 <=> ((~(sP268)) => (~(sP548))),introduced(definition,[new_symbols(definition,[sP615])])).
% 142.11/142.17  thf(sP616,plain,sP616 <=> ((~(sP9)) => (~(sP609))),introduced(definition,[new_symbols(definition,[sP616])])).
% 142.11/142.17  thf(sP617,plain,sP617 <=> ((~(sP279)) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP617])])).
% 142.11/142.17  thf(sP618,plain,sP618 <=> ((~(sP180)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP618])])).
% 142.11/142.17  thf(sP619,plain,sP619 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP619])])).
% 142.11/142.17  thf(sP620,plain,sP620 <=> (sP609 => (~(sP3))),introduced(definition,[new_symbols(definition,[sP620])])).
% 142.11/142.17  thf(sP621,plain,sP621 <=> ((~(sP151)) => (~(sP418))),introduced(definition,[new_symbols(definition,[sP621])])).
% 142.11/142.17  thf(sP622,plain,sP622 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP585 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP622])])).
% 142.11/142.17  thf(sP623,plain,sP623 <=> (sP394 => (~(sP425))),introduced(definition,[new_symbols(definition,[sP623])])).
% 142.11/142.17  thf(sP624,plain,sP624 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP609))),introduced(definition,[new_symbols(definition,[sP624])])).
% 142.11/142.17  thf(sP625,plain,sP625 <=> ((~(sP304)) => (~(sP480))),introduced(definition,[new_symbols(definition,[sP625])])).
% 142.11/142.17  thf(sP626,plain,sP626 <=> ((~(sP77)) => (~(sP463))),introduced(definition,[new_symbols(definition,[sP626])])).
% 142.11/142.17  thf(sP627,plain,sP627 <=> ((~(sP329)) => (~(sP527))),introduced(definition,[new_symbols(definition,[sP627])])).
% 142.11/142.17  thf(sP628,plain,sP628 <=> ((~(sP209)) => (~(sP334))),introduced(definition,[new_symbols(definition,[sP628])])).
% 142.11/142.17  thf(sP629,plain,sP629 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP91 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP629])])).
% 142.11/142.17  thf(sP630,plain,sP630 <=> (![X1:$i]:((~(((~(sP510)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP630])])).
% 142.11/142.17  thf(sP631,plain,sP631 <=> (sP527 => (~(sP75))),introduced(definition,[new_symbols(definition,[sP631])])).
% 142.11/142.17  thf(sP632,plain,sP632 <=> ((~(sP478)) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP632])])).
% 142.11/142.17  thf(sP633,plain,sP633 <=> ((~(sP286)) => (~(sP394))),introduced(definition,[new_symbols(definition,[sP633])])).
% 142.11/142.17  thf(sP634,plain,sP634 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP634])])).
% 142.11/142.17  thf(sP635,plain,sP635 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP635])])).
% 142.11/142.17  thf(sP636,plain,sP636 <=> ((~(sP212)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP636])])).
% 142.11/142.17  thf(sP637,plain,sP637 <=> ((~(((~(sP404)) => (~(sP17))))) => (~(sP308))),introduced(definition,[new_symbols(definition,[sP637])])).
% 142.11/142.17  thf(sP638,plain,sP638 <=> (![X1:$i]:((~(((~(sP349)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP638])])).
% 142.11/142.17  thf(sP639,plain,sP639 <=> (sP497 => (~(sP323))),introduced(definition,[new_symbols(definition,[sP639])])).
% 142.11/142.17  thf(sP640,plain,sP640 <=> ((~(sP491)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP640])])).
% 142.11/142.17  thf(sP641,plain,sP641 <=> ((~(sP371)) => sP17),introduced(definition,[new_symbols(definition,[sP641])])).
% 142.11/142.17  thf(sP642,plain,sP642 <=> (sP17 => (~(sP361))),introduced(definition,[new_symbols(definition,[sP642])])).
% 142.11/142.17  thf(sP643,plain,sP643 <=> (![X1:$i]:((~(((~((sP17 => (~(sP609))))) => (~(((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,[sP643])])).
% 142.11/142.17  thf(sP644,plain,sP644 <=> ((~(sP104)) => sP185),introduced(definition,[new_symbols(definition,[sP644])])).
% 142.11/142.17  thf(sP645,plain,sP645 <=> (![X1:$i]:((~(((~(sP515)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP645])])).
% 142.11/142.17  thf(sP646,plain,sP646 <=> (![X1:$i]:((~(((~(sP143)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP646])])).
% 142.11/142.17  thf(sP647,plain,sP647 <=> ((~(sP30)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP647])])).
% 142.11/142.17  thf(sP648,plain,sP648 <=> ((~(sP460)) => (~(sP609))),introduced(definition,[new_symbols(definition,[sP648])])).
% 142.11/142.17  thf(sP649,plain,sP649 <=> (sP497 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP649])])).
% 142.11/142.17  thf(sP650,plain,sP650 <=> ((~(sP376)) => (~(sP230))),introduced(definition,[new_symbols(definition,[sP650])])).
% 142.11/142.17  thf(sP651,plain,sP651 <=> (sP418 => (~(sP72))),introduced(definition,[new_symbols(definition,[sP651])])).
% 142.11/142.17  thf(sP652,plain,sP652 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP99 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP652])])).
% 142.11/142.17  thf(sP653,plain,sP653 <=> ((~(sP31)) => sP361),introduced(definition,[new_symbols(definition,[sP653])])).
% 142.11/142.17  thf(sP654,plain,sP654 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP654])])).
% 142.11/142.17  thf(sP655,plain,sP655 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)) => sP470),introduced(definition,[new_symbols(definition,[sP655])])).
% 142.11/142.17  thf(sP656,plain,sP656 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP656])])).
% 142.11/142.17  thf(sP657,plain,sP657 <=> (sP527 => (~(sP208))),introduced(definition,[new_symbols(definition,[sP657])])).
% 142.11/142.17  thf(sP658,plain,sP658 <=> ((~(sP124)) => (~(sP308))),introduced(definition,[new_symbols(definition,[sP658])])).
% 142.11/142.17  thf(sP659,plain,sP659 <=> ((~(sP350)) => (~(sP480))),introduced(definition,[new_symbols(definition,[sP659])])).
% 142.11/142.17  thf(sP660,plain,sP660 <=> (sP488 => (~(sP45))),introduced(definition,[new_symbols(definition,[sP660])])).
% 142.11/142.17  thf(sP661,plain,sP661 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP84 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP661])])).
% 142.11/142.17  thf(sP662,plain,sP662 <=> (sP380 => (~(sP548))),introduced(definition,[new_symbols(definition,[sP662])])).
% 142.11/142.17  thf(sP663,plain,sP663 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((r @ X1) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((r @ X1) @ X3))))))),introduced(definition,[new_symbols(definition,[sP663])])).
% 142.11/142.17  thf(sP664,plain,sP664 <=> (sP2 => (~(sP480))),introduced(definition,[new_symbols(definition,[sP664])])).
% 142.11/142.17  thf(sP665,plain,sP665 <=> ((~(sP201)) => (~(sP531))),introduced(definition,[new_symbols(definition,[sP665])])).
% 142.11/142.17  thf(sP666,plain,sP666 <=> ((~(sP296)) => (~(sP548))),introduced(definition,[new_symbols(definition,[sP666])])).
% 142.11/142.17  thf(sP667,plain,sP667 <=> ((~(sP315)) => (~(sP361))),introduced(definition,[new_symbols(definition,[sP667])])).
% 142.11/142.17  thf(sP668,plain,sP668 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP668])])).
% 142.11/142.17  thf(sP669,plain,sP669 <=> ((~((sP418 => (~(sP230))))) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP669])])).
% 142.11/142.17  thf(sP670,plain,sP670 <=> (![X1:$i]:((~(((~(sP664)) => (~(((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,[sP670])])).
% 142.11/142.17  thf(sP671,plain,sP671 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP671])])).
% 142.11/142.17  thf(sP672,plain,sP672 <=> ((~(sP416)) => (~(sP75))),introduced(definition,[new_symbols(definition,[sP672])])).
% 142.11/142.17  thf(sP673,plain,sP673 <=> ((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,[sP673])])).
% 142.11/142.17  thf(sP674,plain,sP674 <=> ((~(sP8)) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP674])])).
% 142.11/142.17  thf(sP675,plain,sP675 <=> (sP230 => (~(sP134))),introduced(definition,[new_symbols(definition,[sP675])])).
% 142.11/142.17  thf(sP676,plain,sP676 <=> (![X1:$i]:((~(((~(((~(sP660)) => (~(sP597))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP676])])).
% 142.11/142.17  thf(sP677,plain,sP677 <=> ((~(sP274)) => sP207),introduced(definition,[new_symbols(definition,[sP677])])).
% 142.11/142.17  thf(sP678,plain,sP678 <=> (sP82 => sP371),introduced(definition,[new_symbols(definition,[sP678])])).
% 142.11/142.17  thf(sP679,plain,sP679 <=> (sP440 => sP127),introduced(definition,[new_symbols(definition,[sP679])])).
% 142.11/142.17  thf(sP680,plain,sP680 <=> (![X1:$i]:((~(((~(sP446)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP680])])).
% 142.11/142.17  thf(sP681,plain,sP681 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = X1) => (X1 = (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP681])])).
% 142.11/142.17  thf(sP682,plain,sP682 <=> (![X1:$i]:((~(((~(sP411)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP682])])).
% 142.11/142.17  thf(sP683,plain,sP683 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP683])])).
% 142.11/142.17  thf(sP684,plain,sP684 <=> ((~(sP561)) => sP222),introduced(definition,[new_symbols(definition,[sP684])])).
% 142.11/142.17  thf(sP685,plain,sP685 <=> ((~(sP648)) => (~(sP222))),introduced(definition,[new_symbols(definition,[sP685])])).
% 142.11/142.17  thf(sP686,plain,sP686 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP686])])).
% 142.11/142.17  thf(sP687,plain,sP687 <=> (sP418 => (~(sP230))),introduced(definition,[new_symbols(definition,[sP687])])).
% 142.11/142.17  thf(sP688,plain,sP688 <=> (![X1:$i]:((~(((~(sP89)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP688])])).
% 142.11/142.17  thf(sP689,plain,sP689 <=> ((~(sP477)) => sP609),introduced(definition,[new_symbols(definition,[sP689])])).
% 142.11/142.17  thf(sP690,plain,sP690 <=> ((~(sP282)) => (~(sP222))),introduced(definition,[new_symbols(definition,[sP690])])).
% 142.11/142.17  thf(sP691,plain,sP691 <=> ((~(sP179)) => (~(sP497))),introduced(definition,[new_symbols(definition,[sP691])])).
% 142.11/142.17  thf(sP692,plain,sP692 <=> (![X1:$i]:((~(((~(sP460)) => (~(((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,[sP692])])).
% 142.11/142.17  thf(sP693,plain,sP693 <=> (![X1:$i]:((~(((~((sP568 => (~(sP185))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP693])])).
% 142.11/142.17  thf(sP694,plain,sP694 <=> (![X1:$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,[sP694])])).
% 142.11/142.17  thf(sP695,plain,sP695 <=> ((~(sP115)) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP695])])).
% 142.11/142.17  thf(sP696,plain,sP696 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP696])])).
% 142.11/142.17  thf(sP697,plain,sP697 <=> ((~(sP674)) => (~(sP412))),introduced(definition,[new_symbols(definition,[sP697])])).
% 142.11/142.17  thf(sP698,plain,sP698 <=> ((~(sP269)) => sP563),introduced(definition,[new_symbols(definition,[sP698])])).
% 142.11/142.17  thf(sP699,plain,sP699 <=> ((~(sP588)) => (~(sP488))),introduced(definition,[new_symbols(definition,[sP699])])).
% 142.11/142.17  thf(sP700,plain,sP700 <=> ((~(sP410)) => (~(sP597))),introduced(definition,[new_symbols(definition,[sP700])])).
% 142.11/142.17  thf(sP701,plain,sP701 <=> (![X1:$i]:((~(((~(sP532)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP701])])).
% 142.11/142.17  thf(sP702,plain,sP702 <=> ((~(sP158)) => (~(sP181))),introduced(definition,[new_symbols(definition,[sP702])])).
% 142.11/142.17  thf(sP703,plain,sP703 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP155 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ eigen__1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP703])])).
% 142.11/142.17  thf(sP704,plain,sP704 <=> ((~(sP492)) => (~(sP99))),introduced(definition,[new_symbols(definition,[sP704])])).
% 142.11/142.17  thf(sP705,plain,sP705 <=> ((~(sP405)) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP705])])).
% 142.11/142.17  thf(sP706,plain,sP706 <=> ((~(sP696)) => sP668),introduced(definition,[new_symbols(definition,[sP706])])).
% 142.11/142.17  thf(sP707,plain,sP707 <=> ((~(sP14)) => (~(sP91))),introduced(definition,[new_symbols(definition,[sP707])])).
% 142.11/142.17  thf(sP708,plain,sP708 <=> (![X1:$i]:((~(((~(sP70)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP708])])).
% 142.11/142.17  thf(sP709,plain,sP709 <=> (sP463 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP709])])).
% 142.11/142.17  thf(sP710,plain,sP710 <=> (![X1:$i]:((~(((~(sP242)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP710])])).
% 142.11/142.17  thf(sP711,plain,sP711 <=> ((~(sP660)) => (~(sP597))),introduced(definition,[new_symbols(definition,[sP711])])).
% 142.11/142.17  thf(sP712,plain,sP712 <=> (![X1:$i]:((~(((~(sP85)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP712])])).
% 142.11/142.17  thf(sP713,plain,sP713 <=> ((~(sP12)) => (~(sP75))),introduced(definition,[new_symbols(definition,[sP713])])).
% 142.11/142.17  thf(sP714,plain,sP714 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP714])])).
% 142.11/142.17  thf(sP715,plain,sP715 <=> (![X1:$i]:((~(((~(sP83)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP715])])).
% 142.11/142.17  thf(sP716,plain,sP716 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP716])])).
% 142.11/142.17  thf(sP717,plain,sP717 <=> (sP17 => (~(sP609))),introduced(definition,[new_symbols(definition,[sP717])])).
% 142.11/142.17  thf(sP718,plain,sP718 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP718])])).
% 142.11/142.17  thf(sP719,plain,sP719 <=> ((~(sP135)) => (~(sP394))),introduced(definition,[new_symbols(definition,[sP719])])).
% 142.11/142.17  thf(sP720,plain,sP720 <=> ((~(sP41)) => (~(sP466))),introduced(definition,[new_symbols(definition,[sP720])])).
% 142.11/142.17  thf(sP721,plain,sP721 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP721])])).
% 142.11/142.17  thf(sP722,plain,sP722 <=> ((~(sP404)) => (~(sP17))),introduced(definition,[new_symbols(definition,[sP722])])).
% 142.11/142.17  thf(sP723,plain,sP723 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP723])])).
% 142.11/142.17  thf(sP724,plain,sP724 <=> (sP714 => sP31),introduced(definition,[new_symbols(definition,[sP724])])).
% 142.11/142.17  thf(sP725,plain,sP725 <=> ((~(sP462)) => sP654),introduced(definition,[new_symbols(definition,[sP725])])).
% 142.11/142.17  thf(sP726,plain,sP726 <=> ((~(sP567)) => (~(sP609))),introduced(definition,[new_symbols(definition,[sP726])])).
% 142.11/142.17  thf(sP727,plain,sP727 <=> (sP2 => (~(sP17))),introduced(definition,[new_symbols(definition,[sP727])])).
% 142.11/142.17  thf(sP728,plain,sP728 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP728])])).
% 142.11/142.17  thf(sP729,plain,sP729 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP318 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP729])])).
% 142.11/142.17  thf(sP730,plain,sP730 <=> ((~(sP171)) => (~(sP75))),introduced(definition,[new_symbols(definition,[sP730])])).
% 142.11/142.17  thf(sP731,plain,sP731 <=> (sP568 => (~(sP185))),introduced(definition,[new_symbols(definition,[sP731])])).
% 142.11/142.17  thf(sP732,plain,sP732 <=> ((~(sP312)) => (~(sP480))),introduced(definition,[new_symbols(definition,[sP732])])).
% 142.11/142.17  thf(sP733,plain,sP733 <=> ((~(sP711)) => (~(sP488))),introduced(definition,[new_symbols(definition,[sP733])])).
% 142.11/142.17  thf(sP734,plain,sP734 <=> ((~(sP720)) => (~(sP671))),introduced(definition,[new_symbols(definition,[sP734])])).
% 142.11/142.17  thf(sP735,plain,sP735 <=> ((~(sP322)) => sP527),introduced(definition,[new_symbols(definition,[sP735])])).
% 142.11/142.17  thf(sP736,plain,sP736 <=> (![X1:$i]:(![X2:$i]:((~(((~((sP568 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))),introduced(definition,[new_symbols(definition,[sP736])])).
% 142.11/142.17  thf(sP737,plain,sP737 <=> ((~(sP523)) => (~(sP222))),introduced(definition,[new_symbols(definition,[sP737])])).
% 142.11/142.17  thf(sP738,plain,sP738 <=> ((~(sP278)) => sP134),introduced(definition,[new_symbols(definition,[sP738])])).
% 142.11/142.17  thf(sP739,plain,sP739 <=> ((~(sP78)) => (~(sP488))),introduced(definition,[new_symbols(definition,[sP739])])).
% 142.11/142.17  thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))).
% 142.11/142.17  thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))).
% 142.11/142.17  thf(h0,assumption,(~((sP1 => (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))),introduced(assumption,[])).
% 142.11/142.17  thf(h1,assumption,sP1,introduced(assumption,[])).
% 142.11/142.17  thf(h2,assumption,(~((![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))))),introduced(assumption,[])).
% 142.11/142.17  thf(h3,assumption,sP335,introduced(assumption,[])).
% 142.11/142.17  thf(1,plain,(~(sP39) | sP111),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(2,plain,((~(sP111) | sP163) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(3,plain,((~(sP163) | sP436) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(4,plain,((~(sP436) | ~(sP2)) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(5,plain,(~(sP670) | sP218),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(6,plain,((~(sP218) | sP93) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(7,plain,((~(sP93) | sP664) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(8,plain,(~(sP670) | sP24),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(9,plain,((~(sP24) | sP153) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(10,plain,((~(sP153) | sP664) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(11,plain,(~(sP670) | sP732),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(12,plain,((~(sP732) | sP312) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(13,plain,((~(sP312) | sP664) | ~(sP185)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(14,plain,((~(sP664) | ~(sP2)) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(15,plain,(~(sP227) | sP34),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(16,plain,((~(sP34) | sP379) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(17,plain,((~(sP379) | sP727) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(18,plain,(~(sP227) | sP618),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(19,plain,((~(sP618) | sP180) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(20,plain,((~(sP180) | sP727) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(21,plain,(~(sP227) | sP525),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(22,plain,((~(sP525) | sP552) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(23,plain,((~(sP552) | sP727) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(24,plain,((~(sP727) | ~(sP2)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(25,plain,(~(sP137) | sP39),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(26,plain,(~(sP137) | sP670),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(27,plain,(~(sP137) | sP227),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(28,plain,(~(sP69) | sP141),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(29,plain,((~(sP141) | sP485) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(30,plain,((~(sP485) | sP590) | ~(sP572)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(31,plain,(~(sP253) | sP292),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(32,plain,((~(sP292) | sP16) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(33,plain,((~(sP16) | sP564) | ~(sP572)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(34,plain,(~(sP159) | sP69),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(35,plain,((~(sP590) | sP426) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(36,plain,((~(sP426) | ~(sP572)) | ~(sP45)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(37,plain,(~(sP159) | sP253),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(38,plain,((~(sP564) | sP571) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(39,plain,((~(sP571) | ~(sP572)) | ~(sP673)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(40,plain,(~(sP92) | sP650),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(41,plain,((~(sP650) | sP376) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(42,plain,((~(sP376) | sP633) | ~(sP45)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(43,plain,(~(sP243) | sP283),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(44,plain,((~(sP283) | sP197) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(45,plain,((~(sP197) | sP592) | ~(sP45)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(46,plain,(~(sP551) | sP92),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(47,plain,((~(sP633) | sP286) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(48,plain,((~(sP286) | ~(sP45)) | ~(sP181)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(49,plain,(~(sP551) | sP243),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(50,plain,((~(sP592) | sP337) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(51,plain,((~(sP337) | ~(sP45)) | ~(sP673)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(52,plain,(~(sP343) | sP524),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(53,plain,((~(sP524) | sP97) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(54,plain,((~(sP97) | sP226) | ~(sP673)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(55,plain,(~(sP456) | sP343),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(56,plain,((~(sP226) | sP71) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(57,plain,((~(sP71) | ~(sP673)) | ~(sP181)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(58,plain,(~(sP455) | sP37),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(59,plain,((~(sP37) | sP699) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(60,plain,((~(sP699) | sP588) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(61,plain,(~(sP546) | sP682),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(62,plain,(~(sP682) | sP210),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(63,plain,((~(sP210) | sP33) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(64,plain,((~(sP33) | sP411) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(65,plain,((~(sP411) | sP375) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(66,plain,((~(sP375) | ~(sP488)) | ~(sP181)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(67,plain,(~(sP546) | sP676),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(68,plain,(~(sP676) | sP178),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(69,plain,((~(sP178) | sP733) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(70,plain,((~(sP733) | sP711) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(71,plain,((~(sP711) | sP660) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(72,plain,((~(sP660) | ~(sP488)) | ~(sP45)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(73,plain,(~(sP546) | sP249),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(74,plain,(~(sP249) | sP628),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(75,plain,((~(sP628) | sP209) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(76,plain,((~(sP209) | sP672) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(77,plain,((~(sP672) | sP416) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(78,plain,((~(sP416) | ~(sP488)) | ~(sP572)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(79,plain,(~(sP546) | sP455),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(80,plain,((~(sP588) | sP213) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(81,plain,((~(sP213) | ~(sP488)) | ~(sP673)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(82,plain,(~(sP15) | sP737),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(83,plain,((~(sP737) | sP523) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(84,plain,((~(sP523) | sP451) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(85,plain,((~(sP451) | ~(sP330)) | ~(sP185)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(86,plain,(~(sP175) | sP553),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(87,plain,((~(sP553) | sP22) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(88,plain,((~(sP22) | sP356) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(89,plain,((~(sP356) | ~(sP330)) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(90,plain,(~(sP11) | sP4),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(91,plain,((~(sP4) | sP626) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(92,plain,((~(sP626) | sP77) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(93,plain,((~(sP77) | ~(sP330)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(94,plain,(~(sP715) | sP690),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(95,plain,((~(sP690) | sP282) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(96,plain,((~(sP282) | sP83) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(97,plain,(~(sP715) | sP62),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(98,plain,((~(sP62) | sP38) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(99,plain,((~(sP38) | sP83) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(100,plain,((~(sP83) | ~(sP568)) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(101,plain,(~(sP693) | sP56),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(102,plain,((~(sP56) | sP298) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(103,plain,((~(sP298) | sP731) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(104,plain,((~(sP731) | ~(sP568)) | ~(sP185)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(105,plain,(~(sP294) | sP617),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(106,plain,((~(sP617) | sP279) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(107,plain,((~(sP279) | sP238) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(108,plain,((~(sP238) | ~(sP568)) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(109,plain,(~(sP307) | sP610),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(110,plain,((~(sP610) | sP454) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(111,plain,((~(sP454) | sP508) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(112,plain,((~(sP508) | ~(sP233)) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(113,plain,(~(sP120) | sP469),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(114,plain,((~(sP469) | sP257) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(115,plain,((~(sP257) | sP490) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(116,plain,((~(sP490) | ~(sP233)) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(117,plain,(~(sP10) | sP589),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(118,plain,((~(sP589) | sP86) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(119,plain,((~(sP86) | sP263) | ~(sP380)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(120,plain,((~(sP263) | ~(sP233)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(121,plain,(~(sP692) | sP447),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(122,plain,((~(sP447) | sP117) | ~(sP512)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(123,plain,((~(sP117) | sP460) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(124,plain,(~(sP692) | sP685),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(125,plain,((~(sP685) | sP648) | ~(sP222)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(126,plain,((~(sP648) | sP460) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(127,plain,((~(sP460) | ~(sP198)) | ~(sP185)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(128,plain,((~(sP550) | sP519) | ~(sP318)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(129,plain,((~(sP119) | sP345) | ~(sP318)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(130,plain,((~(sP350) | sP369) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(131,plain,((~(sP667) | sP315) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(132,plain,((~(sP315) | sP642) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(133,plain,((~(sP616) | sP9) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(134,plain,((~(sP297) | sP479) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(135,plain,((~(sP479) | sP717) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(136,plain,((~(sP540) | sP60) | sP673),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(137,plain,((~(sP60) | sP526) | sP23),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(138,plain,((~(sP59) | sP684) | sP181),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(139,plain,((~(sP684) | sP561) | sP222),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(140,plain,((~(sP229) | sP557) | sP488),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(141,plain,((~(sP557) | sP82) | sP2),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(142,plain,(((~(sP127) | sP468) | ~(sP513)) | ~(sP140)),inference(confrontation_rule,[status(thm)],[])).
% 142.11/142.17  thf(143,plain,(~(sP576) | sP221),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(144,plain,((~(sP221) | sP342) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(145,plain,((~(sP342) | sP635) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(146,plain,((~(sP635) | ~(sP716)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(147,plain,(~(sP336) | sP461),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(148,plain,((~(sP461) | sP154) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(149,plain,((~(sP154) | sP398) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(150,plain,((~(sP398) | ~(sP716)) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(151,plain,(~(sP193) | sP29),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(152,plain,((~(sP29) | sP632) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(153,plain,((~(sP632) | sP478) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(154,plain,((~(sP478) | ~(sP716)) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(155,plain,(~(sP241) | sP409),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(156,plain,((~(sP409) | sP215) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(157,plain,((~(sP215) | sP30) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(158,plain,(~(sP241) | sP422),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(159,plain,((~(sP422) | sP647) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(160,plain,((~(sP647) | sP30) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(161,plain,((~(sP30) | ~(sP548)) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(162,plain,(~(sP88) | sP543),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(163,plain,((~(sP543) | sP129) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(164,plain,((~(sP129) | sP539) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(165,plain,((~(sP539) | ~(sP480)) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(166,plain,(~(sP47) | sP333),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(167,plain,((~(sP333) | sP206) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(168,plain,((~(sP206) | sP587) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(169,plain,((~(sP587) | ~(sP480)) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(170,plain,(~(sP150) | sP637),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(171,plain,((~(sP637) | sP722) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(172,plain,((~(sP722) | sP404) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(173,plain,((~(sP404) | ~(sP480)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(174,plain,(~(sP643) | sP297),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(175,plain,((~(sP717) | ~(sP17)) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(176,plain,(~(sP710) | sP403),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(177,plain,((~(sP403) | sP65) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(178,plain,((~(sP65) | sP242) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(179,plain,((~(sP242) | ~(sP17)) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(180,plain,(~(sP284) | sP667),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(181,plain,((~(sP642) | ~(sP17)) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(182,plain,((~(sP547) | sP32) | ~(sP380)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(183,plain,((~(sP36) | sP644) | sP45),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(184,plain,((~(sP644) | sP104) | sP185),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(185,plain,((~(sP369) | ~(sP318)) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(186,plain,((~(sP296) | sP559) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(187,plain,((~(sP559) | ~(sP318)) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(188,plain,((~(sP9) | ~(sP318)) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(189,plain,((~(sP269) | sP600) | sP330),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(190,plain,((~(sP90) | sP616) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(191,plain,((~(sP666) | sP296) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(192,plain,((~(sP659) | sP350) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(193,plain,((~(sP271) | sP119) | ~(sP380)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(194,plain,((~(sP291) | sP550) | ~(sP28)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(195,plain,((~(sP13) | sP489) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(196,plain,((~(sP489) | sP67) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(197,plain,((~(sP126) | sP658) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(198,plain,((~(sP658) | sP124) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(199,plain,((~(sP170) | sP266) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(200,plain,((~(sP465) | sP515) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(201,plain,((~(sP256) | sP514) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(202,plain,((~(sP514) | sP620) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(203,plain,((~(sP21) | sP542) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(204,plain,((~(sP542) | sP662) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(205,plain,((~(sP237) | sP305) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(206,plain,((~(sP305) | ~(sP189)) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(207,plain,((~(sP515) | ~(sP189)) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(208,plain,((~(sP345) | ~(sP609)) | ~(sP380)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(209,plain,((~(sP530) | sP219) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(210,plain,((~(sP219) | sP289) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(211,plain,((~(sP289) | ~(sP609)) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(212,plain,((~(sP620) | ~(sP609)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(213,plain,((~(sP662) | ~(sP380)) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(214,plain,((~(sP608) | sP624) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(215,plain,((~(sP42) | sP591) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(216,plain,((~(sP591) | sP143) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(217,plain,((~(sP464) | sP76) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(218,plain,((~(sP76) | sP709) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(219,plain,((~(sP202) | sP349) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(220,plain,((~(sP205) | sP726) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(221,plain,((~(sP726) | sP567) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(222,plain,((~(sP402) | sP262) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(223,plain,((~(sP262) | sP85) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(224,plain,((~(sP415) | sP384) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(225,plain,((~(sP493) | sP487) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(226,plain,((~(sP537) | sP435) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(227,plain,((~(sP435) | sP239) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(228,plain,((~(sP615) | sP268) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(229,plain,((~(sP268) | sP121) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(230,plain,((~(sP201) | ~(sP671)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(231,plain,((~(sP317) | ~(sP671)) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(232,plain,((~(sP384) | ~(sP48)) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(233,plain,((~(sP487) | ~(sP308)) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(234,plain,((~(sP349) | ~(sP308)) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(235,plain,((~(sP32) | ~(sP48)) | ~(sP28)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(236,plain,((~(sP519) | ~(sP361)) | ~(sP28)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(237,plain,((~(sP239) | ~(sP361)) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(238,plain,((~(sP567) | ~(sP361)) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(239,plain,((~(sP124) | ~(sP28)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(240,plain,((~(sP121) | ~(sP28)) | ~(sP548)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(241,plain,((~(sP85) | ~(sP28)) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(242,plain,((~(sP41) | ~(sP207)) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(243,plain,((~(sP367) | ~(sP531)) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(244,plain,((~(sP560) | ~(sP466)) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(245,plain,((~(sP89) | ~(sP207)) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(246,plain,((~(sP266) | ~(sP3)) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(247,plain,((~(sP441) | sP355) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(248,plain,((~(sP355) | ~(sP3)) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(249,plain,((~(sP64) | sP191) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(250,plain,((~(sP191) | ~(sP668)) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(251,plain,((~(sP624) | ~(sP668)) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(252,plain,((~(sP558) | sP255) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(253,plain,((~(sP255) | sP532) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(254,plain,((~(sP532) | ~(sP155)) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(255,plain,((~(sP143) | ~(sP155)) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(256,plain,((~(sP67) | ~(sP463)) | ~(sP17)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(257,plain,((~(sP625) | sP304) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(258,plain,((~(sP304) | sP341) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(259,plain,((~(sP341) | ~(sP463)) | ~(sP480)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(260,plain,((~(sP709) | ~(sP463)) | ~(sP716)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(261,plain,(~(sP364) | sP59),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(262,plain,(~(sP364) | sP36),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(263,plain,(~(sP364) | sP540),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(264,plain,(~(sP364) | sP229),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(265,plain,(~(sP332) | sP137),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(266,plain,(~(sP721) | sP159),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(267,plain,(~(sP721) | sP551),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(268,plain,(~(sP721) | sP456),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(269,plain,(~(sP721) | sP546),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(270,plain,((~(sP698) | sP269) | sP563),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(271,plain,(~(sP220) | sP15),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(272,plain,(~(sP220) | sP175),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(273,plain,(~(sP220) | sP11),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(274,plain,(~(sP736) | sP715),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(275,plain,(~(sP736) | sP693),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(276,plain,(~(sP736) | sP294),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(277,plain,(~(sP61) | sP184),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(278,plain,((~(sP184) | sP584) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(279,plain,((~(sP584) | sP605) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(280,plain,((~(sP605) | sP118) | ~(sP323)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(281,plain,((~(sP118) | ~(sP139)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(282,plain,(~(sP708) | sP739),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(283,plain,((~(sP739) | sP78) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(284,plain,((~(sP78) | sP70) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(285,plain,((~(sP70) | sP639) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(286,plain,((~(sP639) | ~(sP497)) | ~(sP323)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(287,plain,(~(sP190) | sP459),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(288,plain,((~(sP459) | sP452) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(289,plain,((~(sP452) | sP295) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(290,plain,((~(sP295) | sP522) | ~(sP134)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(291,plain,((~(sP522) | ~(sP394)) | ~(sP323)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(292,plain,(~(sP252) | sP702),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(293,plain,((~(sP702) | sP158) | ~(sP181)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(294,plain,((~(sP158) | sP388) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(295,plain,(~(sP252) | sP417),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(296,plain,((~(sP417) | sP575) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(297,plain,((~(sP575) | sP388) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(298,plain,((~(sP388) | sP354) | ~(sP134)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(299,plain,((~(sP354) | ~(sP50)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(300,plain,(~(sP458) | sP307),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(301,plain,(~(sP458) | sP120),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(302,plain,(~(sP458) | sP10),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(303,plain,(~(sP183) | sP288),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(304,plain,((~(sP288) | sP200) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(305,plain,((~(sP200) | sP419) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(306,plain,((~(sP419) | sP675) | ~(sP323)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(307,plain,((~(sP675) | ~(sP230)) | ~(sP134)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(308,plain,(~(sP195) | sP366),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(309,plain,((~(sP366) | sP188) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(310,plain,((~(sP188) | sP499) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(311,plain,((~(sP499) | sP225) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(312,plain,((~(sP225) | ~(sP418)) | ~(sP134)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(313,plain,(~(sP483) | sP482),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(314,plain,((~(sP482) | sP495) | ~(sP488)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(315,plain,((~(sP495) | sP204) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(316,plain,((~(sP204) | sP387) | ~(sP391)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(317,plain,((~(sP387) | ~(sP425)) | ~(sP323)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(318,plain,(~(sP570) | sP692),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(319,plain,((~(sP344) | ~(sP374)) | sP104),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(320,plain,(~(sP681) | sP344),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(321,plain,((~(sP247) | sP101) | sP323),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(322,plain,((~(sP101) | sP374) | sP568),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(323,plain,((~(sP738) | sP278) | sP134),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(324,plain,((~(sP278) | sP55) | sP233),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(325,plain,((~(sP287) | sP596) | sP391),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(326,plain,((~(sP596) | sP440) | sP198),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(327,plain,((~(sP390) | sP383) | sP463),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(328,plain,((~(sP707) | sP14) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(329,plain,((~(sP14) | sP54) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(330,plain,((~(sP641) | sP371) | sP17),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(331,plain,((~(sP434) | sP248) | sP480),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(332,plain,((~(sP322) | sP468) | sP716),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(333,plain,sP513,inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(334,plain,((~(sP217) | sP595) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(335,plain,((~(sP595) | sP474) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(336,plain,(~(sP368) | sP457),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(337,plain,((~(sP457) | sP627) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(338,plain,((~(sP627) | sP329) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(339,plain,((~(sP713) | sP12) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(340,plain,((~(sP12) | sP162) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(341,plain,((~(sP160) | sP614) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(342,plain,((~(sP614) | sP640) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(343,plain,((~(sP640) | sP491) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(344,plain,((~(sP491) | ~(sP585)) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(345,plain,((~(sP162) | sP251) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(346,plain,((~(sP251) | ~(sP84)) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(347,plain,((~(sP474) | sP165) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(348,plain,((~(sP165) | ~(sP99)) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(349,plain,((~(sP329) | sP657) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(350,plain,((~(sP657) | ~(sP527)) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(351,plain,((~(sP504) | sP89) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(352,plain,((~(sP133) | sP317) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(353,plain,((~(sP472) | sP560) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(354,plain,((~(sP25) | sP560) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(355,plain,(((~(sP728) | sP477) | ~(sP136)) | ~(sP140)),inference(confrontation_rule,[status(thm)],[])).
% 142.11/142.17  thf(356,plain,((~(sP401) | ~(sP526)) | sP468),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(357,plain,((~(sP503) | ~(sP561)) | sP248),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(358,plain,((~(sP678) | ~(sP82)) | sP371),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(359,plain,((~(sP735) | sP322) | sP527),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(360,plain,((~(sP400) | sP434) | sP597),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(361,plain,((~(sP340) | sP641) | sP208),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(362,plain,(~(sP228) | sP576),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(363,plain,(~(sP228) | sP336),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(364,plain,(~(sP228) | sP193),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(365,plain,(~(sP517) | sP241),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(366,plain,(~(sP328) | sP88),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(367,plain,(~(sP328) | sP47),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(368,plain,(~(sP328) | sP150),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(369,plain,(~(sP108) | sP643),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(370,plain,(~(sP108) | sP710),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(371,plain,(~(sP108) | sP284),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(372,plain,(~(sP285) | sP368),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(373,plain,(~(sP529) | sP432),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(374,plain,((~(sP432) | sP20) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(375,plain,((~(sP20) | sP8) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(376,plain,(~(sP285) | sP529),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(377,plain,(~(sP529) | sP697),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(378,plain,((~(sP697) | sP674) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(379,plain,((~(sP674) | sP8) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(380,plain,((~(sP8) | sP631) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(381,plain,((~(sP631) | ~(sP527)) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(382,plain,(~(sP534) | sP566),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(383,plain,((~(sP566) | sP484) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(384,plain,((~(sP484) | sP265) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(385,plain,(~(sP152) | sP534),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(386,plain,((~(sP265) | sP521) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(387,plain,((~(sP521) | ~(sP75)) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(388,plain,(~(sP481) | sP397),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(389,plain,((~(sP397) | sP520) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(390,plain,((~(sP520) | sP272) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(391,plain,(~(sP327) | sP481),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(392,plain,((~(sP272) | sP476) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(393,plain,((~(sP476) | ~(sP597)) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(394,plain,(~(sP261) | sP96),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(395,plain,((~(sP96) | sP348) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(396,plain,((~(sP348) | sP613) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(397,plain,(~(sP439) | sP299),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(398,plain,(~(sP299) | sP326),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(399,plain,((~(sP326) | sP377) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(400,plain,((~(sP377) | sP321) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(401,plain,((~(sP321) | sP358) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(402,plain,((~(sP358) | ~(sP208)) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(403,plain,(~(sP439) | sP261),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(404,plain,(~(sP261) | sP360),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(405,plain,((~(sP360) | sP502) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(406,plain,((~(sP502) | sP613) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(407,plain,((~(sP613) | sP442) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(408,plain,((~(sP442) | ~(sP208)) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(409,plain,(~(sP95) | sP464),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(410,plain,(~(sP138) | sP625),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(411,plain,(~(sP214) | sP13),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(412,plain,(~(sP545) | sP707),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(413,plain,((~(sP54) | sP113) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(414,plain,((~(sP113) | ~(sP723)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(415,plain,(~(sP712) | sP402),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(416,plain,(~(sP40) | sP615),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(417,plain,(~(sP231) | sP126),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(418,plain,(~(sP232) | sP21),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(419,plain,((~(sP94) | sP547) | ~(sP28)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(420,plain,(~(sP110) | sP90),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(421,plain,(~(sP580) | sP666),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(422,plain,(~(sP574) | sP659),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(423,plain,(~(sP123) | sP256),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(424,plain,(~(sP357) | sP530),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(425,plain,(~(sP106) | sP271),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(426,plain,(~(sP646) | sP42),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(427,plain,(~(sP701) | sP558),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(428,plain,(~(sP443) | sP205),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(429,plain,(~(sP128) | sP537),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(430,plain,(~(sP107) | sP291),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(431,plain,(~(sP496) | sP217),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(432,plain,(~(sP316) | sP713),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(433,plain,(~(sP147) | sP160),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(434,plain,((~(sP338) | sP608) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(435,plain,((~(sP281) | sP64) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(436,plain,((~(sP167) | sP202) | ~(sP609)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(437,plain,((~(sP142) | sP493) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(438,plain,((~(sP475) | sP465) | ~(sP155)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(439,plain,((~(sP486) | sP237) | ~(sP361)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(440,plain,((~(sP473) | sP441) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(441,plain,((~(sP87) | sP170) | ~(sP668)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(442,plain,((~(sP431) | sP415) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(443,plain,((~(sP665) | sP201) | ~(sP531)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(444,plain,((~(sP19) | sP367) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(445,plain,((~(sP720) | sP41) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(446,plain,((~(sP172) | ~(sP656)) | sP248),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(447,plain,(~(sP681) | sP172),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(448,plain,((~(sP311) | sP656) | sP28),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(449,plain,((~(sP427) | sP562) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(450,plain,((~(sP562) | sP581) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(451,plain,((~(sP706) | sP696) | sP668),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(452,plain,((~(sP149) | sP127) | sP380),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(453,plain,((~(sP594) | sP314) | ~(sP208)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(454,plain,((~(sP314) | sP109) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(455,plain,((~(sP301) | sP100) | sP318),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(456,plain,sP136,inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(457,plain,((~(sP653) | sP31) | sP361),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(458,plain,((~(sP689) | sP477) | sP609),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(459,plain,((~(sP528) | sP498) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(460,plain,((~(sP498) | sP310) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(461,plain,(~(sP131) | sP199),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(462,plain,((~(sP199) | sP612) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(463,plain,((~(sP612) | sP583) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(464,plain,((~(sP730) | sP171) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(465,plain,((~(sP171) | sP339) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(466,plain,((~(sP382) | sP407) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(467,plain,((~(sP407) | sP35) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(468,plain,((~(sP35) | sP224) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(469,plain,((~(sP224) | ~(sP230)) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(470,plain,((~(sP310) | sP146) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(471,plain,((~(sP146) | ~(sP418)) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(472,plain,((~(sP583) | sP49) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(473,plain,((~(sP49) | ~(sP91)) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(474,plain,((~(sP109) | sP408) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(475,plain,((~(sP408) | ~(sP654)) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(476,plain,((~(sP339) | sP651) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(477,plain,((~(sP651) | ~(sP418)) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(478,plain,((~(sP700) | sP410) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(479,plain,((~(sP410) | sP446) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(480,plain,((~(sP446) | sP501) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(481,plain,((~(sP501) | ~(sP230)) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(482,plain,((~(sP724) | ~(sP714)) | sP31),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(483,plain,(~(sP681) | sP724),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(484,plain,((~(sP300) | sP714) | sP308),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(485,plain,((~(sP399) | sP536) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(486,plain,(~(sP174) | sP393),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(487,plain,((~(sP393) | sP704) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(488,plain,((~(sP704) | sP492) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(489,plain,((~(sP430) | sP81) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(490,plain,((~(sP81) | sP705) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(491,plain,((~(sP602) | sP395) | sP466),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(492,plain,((~(sP157) | sP450) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(493,plain,(~(sP216) | sP719),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(494,plain,((~(sP719) | sP135) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(495,plain,((~(sP135) | sP429) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(496,plain,(~(sP607) | sP556),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(497,plain,((~(sP556) | sP58) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(498,plain,((~(sP58) | sP122) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(499,plain,((~(sP240) | sP203) | ~(sP527)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(500,plain,((~(sP203) | sP245) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(501,plain,((~(sP462) | sP728) | sP189),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(502,plain,((~(sP325) | sP683) | sP48),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(503,plain,sP140,inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(504,plain,((~(sP151) | sP586) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(505,plain,((~(sP212) | sP373) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(506,plain,((~(sP691) | sP179) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(507,plain,((~(sP179) | sP669) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(508,plain,(~(sP216) | sP424),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(509,plain,((~(sP424) | sP582) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(510,plain,((~(sP582) | sP429) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(511,plain,(~(sP246) | sP166),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(512,plain,((~(sP166) | sP313) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(513,plain,((~(sP313) | sP319) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(514,plain,((~(sP331) | sP386) | ~(sP75)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(515,plain,((~(sP386) | sP116) | ~(sP497)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(516,plain,((~(sP586) | sP555) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(517,plain,((~(sP555) | ~(sP497)) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(518,plain,((~(sP450) | sP623) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(519,plain,((~(sP623) | ~(sP394)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(520,plain,((~(sP373) | sP533) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(521,plain,((~(sP533) | ~(sP497)) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(522,plain,((~(sP669) | sP687) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(523,plain,((~(sP687) | ~(sP418)) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(524,plain,((~(sP429) | sP44) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(525,plain,((~(sP44) | ~(sP84)) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(526,plain,((~(sP122) | sP132) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(527,plain,((~(sP132) | ~(sP99)) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(528,plain,((~(sP319) | sP303) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(529,plain,((~(sP303) | ~(sP91)) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(530,plain,((~(sP245) | sP169) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(531,plain,((~(sP169) | ~(sP394)) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(532,plain,((~(sP116) | sP649) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(533,plain,((~(sP649) | ~(sP497)) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(534,plain,((~(sP695) | sP115) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(535,plain,((~(sP115) | sP112) | ~(sP394)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(536,plain,((~(sP112) | ~(sP139)) | ~(sP50)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(537,plain,((~(sP536) | sP518) | ~(sP654)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(538,plain,((~(sP518) | ~(sP50)) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(539,plain,((~(sP18) | sP510) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(540,plain,((~(sP510) | sP573) | ~(sP425)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(541,plain,((~(sP573) | ~(sP139)) | ~(sP412)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(542,plain,((~(sP492) | sP494) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(543,plain,((~(sP494) | ~(sP99)) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(544,plain,((~(sP581) | sP406) | ~(sP91)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(545,plain,((~(sP406) | ~(sP412)) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(546,plain,((~(sP705) | sP405) | ~(sP72)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(547,plain,((~(sP405) | ~(sP50)) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(548,plain,((~(sP267) | sP541) | ~(sP597)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(549,plain,((~(sP541) | sP372) | ~(sP139)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(550,plain,((~(sP372) | sP187) | ~(sP723)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(551,plain,((~(sP187) | ~(sP139)) | ~(sP334)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(552,plain,((~(sP677) | sP274) | sP207),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(553,plain,((~(sP324) | ~(sP604)) | sP683),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(554,plain,(~(sP681) | sP324),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(555,plain,((~(sP381) | sP604) | sP671),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(556,plain,(~(sP385) | sP332),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(557,plain,(~(sP601) | sP721),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(558,plain,(~(sP352) | sP698),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(559,plain,(~(sP105) | sP220),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(560,plain,(~(sP302) | sP736),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(561,plain,(~(sP718) | sP247),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(562,plain,(~(sP236) | sP61),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(563,plain,(~(sP26) | sP708),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(564,plain,(~(sP500) | sP190),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(565,plain,(~(sP52) | sP252),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(566,plain,(~(sP663) | sP458),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(567,plain,(~(sP7) | sP738),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(568,plain,(~(sP306) | sP183),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(569,plain,(~(sP449) | sP195),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(570,plain,(~(sP428) | sP483),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(571,plain,(~(sP619) | sP570),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(572,plain,(~(sP196) | sP287),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(573,plain,((~(sP235) | ~(sP600)) | sP423),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(574,plain,(~(sP125) | sP235),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(575,plain,(~(sP686) | sP364),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(576,plain,(~(sP364) | sP277),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(577,plain,((~(sP277) | sP223) | sP572),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(578,plain,((~(sP223) | sP423) | sP512),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(579,plain,(~(sP392) | sP401),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(580,plain,(~(sP392) | sP503),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(581,plain,(~(sP392) | sP678),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(582,plain,(~(sP694) | sP735),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(583,plain,(~(sP694) | sP400),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(584,plain,(~(sP694) | sP340),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(585,plain,(~(sP260) | sP228),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(586,plain,(~(sP260) | sP517),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(587,plain,(~(sP260) | sP328),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(588,plain,(~(sP260) | sP108),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(589,plain,(~(sP270) | sP285),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(590,plain,(~(sP270) | sP152),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(591,plain,(~(sP270) | sP327),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(592,plain,(~(sP270) | sP439),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(593,plain,((~(sP506) | sP390) | sP334),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(594,plain,(~(sP276) | sP95),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(595,plain,(~(sP276) | sP138),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(596,plain,(~(sP276) | sP214),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(597,plain,(~(sP577) | sP545),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(598,plain,(~(sP598) | sP712),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(599,plain,(~(sP598) | sP40),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(600,plain,(~(sP598) | sP231),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(601,plain,((~(sP421) | sP311) | sP723),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(602,plain,((~(sP389) | ~(sP55)) | sP656),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(603,plain,(~(sP535) | sP267),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(604,plain,(~(sP53) | sP331),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(605,plain,(~(sP79) | sP240),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(606,plain,(~(sP114) | sP430),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(607,plain,(~(sP363) | sP232),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(608,plain,((~(sP453) | sP149) | sP72),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(609,plain,((~(sP679) | ~(sP440)) | sP127),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(610,plain,(~(sP680) | sP700),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(611,plain,(~(sP467) | sP730),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(612,plain,(~(sP359) | sP94),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(613,plain,(~(sP370) | sP594),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(614,plain,(~(sP43) | sP427),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(615,plain,(~(sP629) | sP131),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(616,plain,(~(sP629) | sP246),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(617,plain,(~(sP729) | sP110),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(618,plain,(~(sP729) | sP580),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(619,plain,(~(sP729) | sP574),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(620,plain,((~(sP611) | sP301) | sP91),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(621,plain,((~(sP378) | ~(sP371)) | sP477),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(622,plain,((~(sP145) | ~(sP468)) | sP31),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(623,plain,((~(sP606) | sP689) | sP99),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(624,plain,((~(sP211) | sP653) | sP585),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(625,plain,(~(sP68) | sP123),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(626,plain,(~(sP68) | sP357),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(627,plain,(~(sP68) | sP106),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(628,plain,(~(sP703) | sP646),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(629,plain,(~(sP703) | sP701),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(630,plain,(~(sP164) | sP443),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(631,plain,(~(sP164) | sP128),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(632,plain,(~(sP164) | sP107),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(633,plain,(~(sP652) | sP174),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(634,plain,(~(sP652) | sP607),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(635,plain,(~(sP652) | sP496),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(636,plain,(~(sP661) | sP216),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(637,plain,(~(sP661) | sP316),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(638,plain,(~(sP622) | sP147),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(639,plain,(~(sP362) | sP338),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(640,plain,(~(sP347) | sP281),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(641,plain,(~(sP638) | sP167),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(642,plain,(~(sP505) | sP142),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(643,plain,((~(sP507) | sP504) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(644,plain,((~(sP365) | sP18) | ~(sP585)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(645,plain,((~(sP636) | sP212) | ~(sP84)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(646,plain,((~(sP433) | sP133) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(647,plain,((~(sP438) | sP157) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(648,plain,((~(sP192) | sP399) | ~(sP99)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(649,plain,(~(sP645) | sP475),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(650,plain,(~(sP182) | sP486),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(651,plain,(~(sP6) | sP473),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(652,plain,(~(sP346) | sP87),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(653,plain,(~(sP554) | sP431),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(654,plain,(~(sP414) | sP691),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(655,plain,(~(sP309) | sP528),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(656,plain,(~(sP244) | sP382),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(657,plain,((~(sP471) | sP472) | ~(sP48)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(658,plain,((~(sP290) | sP25) | ~(sP189)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(659,plain,((~(sP234) | sP665) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(660,plain,((~(sP156) | sP19) | ~(sP466)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(661,plain,((~(sP621) | sP151) | ~(sP418)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(662,plain,((~(sP351) | sP695) | ~(sP230)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(663,plain,((~(sP734) | sP720) | ~(sP671)),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(664,plain,(~(sP335) | ~(sP423)),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(665,plain,(~(sP385) | sP260),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(666,plain,(~(sP601) | sP270),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(667,plain,(~(sP352) | sP506),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(668,plain,(~(sP105) | sP276),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(669,plain,(~(sP173) | sP577),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(670,plain,(~(sP302) | sP598),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(671,plain,(~(sP718) | sP421),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(672,plain,(~(sP396) | sP389),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(673,plain,(~(sP236) | sP535),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(674,plain,(~(sP26) | sP53),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(675,plain,(~(sP500) | sP79),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(676,plain,(~(sP52) | sP114),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(677,plain,(~(sP663) | sP363),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(678,plain,(~(sP7) | sP453),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(679,plain,(~(sP168) | sP679),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(680,plain,(~(sP306) | sP680),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(681,plain,(~(sP449) | sP467),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(682,plain,(~(sP280) | sP359),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(683,plain,(~(sP445) | sP370),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(684,plain,(~(sP144) | sP43),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(685,plain,(~(sP353) | sP629),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(686,plain,(~(sP619) | sP729),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(687,plain,(~(sP196) | sP611),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(688,plain,((~(sP194) | ~(sP383)) | sP51),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(689,plain,(~(sP125) | sP194),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(690,plain,(~(sP1) | sP392),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(691,plain,(~(sP392) | sP5),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(692,plain,((~(sP5) | ~(sP104)) | sP51),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(693,plain,(~(sP686) | sP694),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(694,plain,(~(sP694) | sP320),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(695,plain,((~(sP320) | sP413) | sP75),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(696,plain,((~(sP413) | sP51) | sP548),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(697,plain,(~(sP444) | sP378),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(698,plain,(~(sP444) | sP145),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(699,plain,(~(sP196) | sP606),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(700,plain,(~(sP196) | sP211),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(701,plain,(~(sP619) | sP68),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(702,plain,(~(sP619) | sP703),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(703,plain,(~(sP619) | sP164),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(704,plain,(~(sP353) | sP652),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(705,plain,(~(sP353) | sP661),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(706,plain,(~(sP353) | sP622),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(707,plain,((~(sP177) | sP706) | sP412),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(708,plain,(~(sP74) | sP362),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(709,plain,(~(sP74) | sP347),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(710,plain,(~(sP599) | sP638),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(711,plain,(~(sP599) | sP505),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(712,plain,((~(sP254) | sP300) | sP425),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(713,plain,(~(sP688) | sP507),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(714,plain,(~(sP630) | sP365),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(715,plain,(~(sP66) | sP636),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(716,plain,(~(sP63) | sP433),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(717,plain,(~(sP259) | sP438),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(718,plain,(~(sP420) | sP192),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(719,plain,(~(sP98) | sP645),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(720,plain,(~(sP98) | sP182),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(721,plain,((~(sP725) | sP462) | sP654),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(722,plain,((~(sP250) | ~(sP100)) | sP728),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(723,plain,((~(sP176) | ~(sP477)) | sP683),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(724,plain,((~(sP516) | sP325) | sP230),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(725,plain,(~(sP565) | sP6),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(726,plain,(~(sP565) | sP346),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(727,plain,(~(sP280) | sP554),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(728,plain,(~(sP449) | sP414),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(729,plain,(~(sP449) | sP309),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(730,plain,(~(sP306) | sP244),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(731,plain,(~(sP264) | sP471),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(732,plain,(~(sP264) | sP290),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(733,plain,(~(sP102) | sP234),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(734,plain,(~(sP27) | sP156),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(735,plain,(~(sP579) | sP621),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(736,plain,(~(sP538) | sP351),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(737,plain,(~(sP448) | sP734),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(738,plain,(~(sP335) | ~(sP51)),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(739,plain,(~(sP385) | sP619),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(740,plain,(~(sP601) | sP353),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(741,plain,(~(sP352) | sP177),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(742,plain,(~(sP105) | sP74),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(743,plain,(~(sP578) | sP144),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(744,plain,(~(sP173) | sP428),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(745,plain,(~(sP302) | sP599),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(746,plain,(~(sP718) | sP254),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(747,plain,(~(sP273) | sP688),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(748,plain,(~(sP236) | sP630),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(749,plain,(~(sP26) | sP66),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(750,plain,(~(sP148) | sP63),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(751,plain,(~(sP500) | sP259),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(752,plain,(~(sP52) | sP420),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(753,plain,(~(sP161) | sP445),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(754,plain,(~(sP663) | sP98),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(755,plain,(~(sP7) | sP725),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(756,plain,(~(sP168) | sP250),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(757,plain,((~(sP275) | ~(sP696)) | sP593),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(758,plain,(~(sP125) | sP275),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(759,plain,(~(sP1) | sP444),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(760,plain,(~(sP444) | sP57),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(761,plain,((~(sP57) | ~(sP248)) | sP593),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(762,plain,(~(sP686) | sP196),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(763,plain,(~(sP196) | sP293),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(764,plain,((~(sP293) | sP511) | sP84),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(765,plain,((~(sP511) | sP593) | sP155),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(766,plain,(~(sP168) | sP176),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(767,plain,(~(sP7) | sP516),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(768,plain,(~(sP663) | sP565),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(769,plain,(~(sP663) | sP280),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(770,plain,(~(sP161) | sP449),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(771,plain,(~(sP161) | sP306),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(772,plain,((~(sP258) | sP602) | sP50),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(773,plain,(~(sP73) | sP264),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(774,plain,(~(sP148) | sP102),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(775,plain,((~(sP80) | sP381) | sP394),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(776,plain,(~(sP569) | sP27),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(777,plain,(~(sP26) | sP579),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(778,plain,(~(sP236) | sP538),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(779,plain,(~(sP273) | sP448),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(780,plain,((~(sP549) | sP677) | sP139),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(781,plain,(~(sP335) | ~(sP593)),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(782,plain,(~(sP385) | sP663),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(783,plain,(~(sP601) | sP161),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(784,plain,(~(sP352) | sP258),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(785,plain,(~(sP105) | sP73),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(786,plain,(~(sP578) | sP52),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(787,plain,(~(sP173) | sP500),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(788,plain,(~(sP302) | sP148),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(789,plain,(~(sP718) | sP80),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(790,plain,((~(sP437) | ~(sP395)) | sP634),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(791,plain,(~(sP125) | sP437),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(792,plain,(~(sP1) | sP168),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(793,plain,(~(sP168) | sP46),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(794,plain,((~(sP46) | ~(sP31)) | sP634),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(795,plain,(~(sP686) | sP7),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(796,plain,(~(sP7) | sP130),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(797,plain,((~(sP130) | sP603) | sP418),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(798,plain,((~(sP603) | sP634) | sP3),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(799,plain,(~(sP302) | sP569),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(800,plain,(~(sP173) | sP26),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(801,plain,(~(sP578) | sP236),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(802,plain,(~(sP105) | sP273),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(803,plain,(~(sP352) | sP549),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(804,plain,(~(sP335) | ~(sP634)),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(805,plain,(~(sP385) | sP302),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(806,plain,(~(sP601) | sP173),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(807,plain,((~(sP509) | ~(sP274)) | sP470),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(808,plain,(~(sP125) | sP509),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(809,plain,(~(sP186) | sP125),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(810,plain,(~(sP186) | sP681),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(811,plain,sP186,inference(eq_sym,[status(thm)],[])).
% 142.11/142.17  thf(812,plain,(~(sP1) | sP396),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(813,plain,(~(sP396) | sP655),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(814,plain,((~(sP655) | ~(sP683)) | sP470),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(815,plain,(~(sP686) | sP718),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(816,plain,(~(sP718) | sP544),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(817,plain,((~(sP544) | sP103) | sP497),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(818,plain,((~(sP103) | sP470) | sP531),inference(prop_rule,[status(thm)],[])).
% 142.11/142.17  thf(819,plain,(~(sP601) | sP578),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(820,plain,(~(sP385) | sP105),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(821,plain,(~(sP686) | sP352),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(822,plain,(~(sP335) | ~(sP470)),inference(all_rule,[status(thm)],[])).
% 142.11/142.17  thf(axb,axiom,sP601).
% 142.11/142.17  thf(axr,axiom,sP385).
% 142.11/142.17  thf(rb_cov,axiom,sP686).
% 142.11/142.17  thf(823,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,axb,axr,rb_cov,h1,h3])).
% 142.11/142.17  thf(824,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,823,h3])).
% 142.11/142.17  thf(825,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,824,h1,h2])).
% 142.11/142.17  thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))).
% 142.11/142.17  thf(826,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]).
% 142.11/142.17  thf(827,plain,$false,inference(tab_negall,[status(thm),tab_negall(discharge,[h0]),tab_negall(eigenvar,eigen__0)],[826,825,h0])).
% 142.11/142.17  % SZS output end Proof
%------------------------------------------------------------------------------