↑ Up

Satallax---3.5.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : GRA105^1 : 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 : n012.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 01:32:41 PM UTC 2025

% Result   : Unsatisfiable 141.79s 141.87s
% Output   : Proof 141.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRA105^1 : TPTP v9.2.0. Released v9.0.0.
% 0.11/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  8 15:55:53 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 141.79/141.87  % SZS status Unsatisfiable
% 141.79/141.87  % Mode: mode493
% 141.79/141.87  % Inferences: 7021
% 141.79/141.87  % SZS output start Proof
% 141.79/141.87  thf(ty_eigen__1, type, eigen__1 : $i).
% 141.79/141.87  thf(ty_b, type, b : ($i>$i>$o)).
% 141.79/141.87  thf(ty_eigen__0, type, eigen__0 : ($i>$i)).
% 141.79/141.87  thf(ty_r, type, r : ($i>$i>$o)).
% 141.79/141.87  thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP1])])).
% 141.79/141.87  thf(sP2,plain,sP2 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 141.79/141.87  thf(sP3,plain,sP3 <=> (![X1:$i]:((~(((~(((~((((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))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 141.79/141.87  thf(sP4,plain,sP4 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP4])])).
% 141.79/141.87  thf(sP5,plain,sP5 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP5])])).
% 141.79/141.87  thf(sP6,plain,sP6 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 141.79/141.87  thf(sP7,plain,sP7 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP7])])).
% 141.79/141.87  thf(sP8,plain,sP8 <=> (((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__1)))),introduced(definition,[new_symbols(definition,[sP8])])).
% 141.79/141.87  thf(sP9,plain,sP9 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP9])])).
% 141.79/141.87  thf(sP10,plain,sP10 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 141.79/141.87  thf(sP11,plain,sP11 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 141.79/141.87  thf(sP12,plain,sP12 <=> (![X1:$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,[sP12])])).
% 141.79/141.87  thf(sP13,plain,sP13 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP13])])).
% 141.79/141.87  thf(sP14,plain,sP14 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP7))),introduced(definition,[new_symbols(definition,[sP14])])).
% 141.79/141.87  thf(sP15,plain,sP15 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP15])])).
% 141.79/141.87  thf(sP16,plain,sP16 <=> ((~(((~((((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))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP16])])).
% 141.79/141.87  thf(sP17,plain,sP17 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__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)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP17])])).
% 141.79/141.87  thf(sP18,plain,sP18 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP18])])).
% 141.79/141.87  thf(sP19,plain,sP19 <=> ((~((((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,[sP19])])).
% 141.79/141.87  thf(sP20,plain,sP20 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP20])])).
% 141.79/141.87  thf(sP21,plain,sP21 <=> ((~((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,[sP21])])).
% 141.79/141.87  thf(sP22,plain,sP22 <=> (![X1:$i]:((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP22])])).
% 141.79/141.87  thf(sP23,plain,sP23 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP23])])).
% 141.79/141.87  thf(sP24,plain,sP24 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP24])])).
% 141.79/141.87  thf(sP25,plain,sP25 <=> (![X1:$i]:((~(((~(((~((((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__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP25])])).
% 141.79/141.87  thf(sP26,plain,sP26 <=> (((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__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP26])])).
% 141.79/141.87  thf(sP27,plain,sP27 <=> (sP20 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP27])])).
% 141.79/141.87  thf(sP28,plain,sP28 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP28])])).
% 141.79/141.87  thf(sP29,plain,sP29 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP29])])).
% 141.79/141.87  thf(sP30,plain,sP30 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP30])])).
% 141.79/141.87  thf(sP31,plain,sP31 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP31])])).
% 141.79/141.87  thf(sP32,plain,sP32 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP32])])).
% 141.79/141.87  thf(sP33,plain,sP33 <=> (![X1:$i]:((~(((~(((~((((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__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP33])])).
% 141.79/141.87  thf(sP34,plain,sP34 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP34])])).
% 141.79/141.87  thf(sP35,plain,sP35 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (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))))))) => ((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,[sP35])])).
% 141.79/141.87  thf(sP36,plain,sP36 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP36])])).
% 141.79/141.87  thf(sP37,plain,sP37 <=> ((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,[sP37])])).
% 141.79/141.87  thf(sP38,plain,sP38 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP38])])).
% 141.79/141.87  thf(sP39,plain,sP39 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP39])])).
% 141.79/141.87  thf(sP40,plain,sP40 <=> ((~((sP7 => (~(((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__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP40])])).
% 141.79/141.87  thf(sP41,plain,sP41 <=> ((~(((~((((b @ (eigen__0 @ (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__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP41])])).
% 141.79/141.87  thf(sP42,plain,sP42 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (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__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP42])])).
% 141.79/141.87  thf(sP43,plain,sP43 <=> ((~(sP13)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP43])])).
% 141.79/141.87  thf(sP44,plain,sP44 <=> ((~(((~((((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)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP44])])).
% 141.79/141.87  thf(sP45,plain,sP45 <=> ((~(sP15)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP45])])).
% 141.79/141.87  thf(sP46,plain,sP46 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP46])])).
% 141.79/141.87  thf(sP47,plain,sP47 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP47])])).
% 141.79/141.87  thf(sP48,plain,sP48 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP48])])).
% 141.79/141.87  thf(sP49,plain,sP49 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP49])])).
% 141.79/141.87  thf(sP50,plain,sP50 <=> (sP38 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP50])])).
% 141.79/141.87  thf(sP51,plain,sP51 <=> ((~((sP39 => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP51])])).
% 141.79/141.87  thf(sP52,plain,sP52 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP52])])).
% 141.79/141.87  thf(sP53,plain,sP53 <=> ((~(((~(((~((((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__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP53])])).
% 141.79/141.87  thf(sP54,plain,sP54 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (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__1))))),introduced(definition,[new_symbols(definition,[sP54])])).
% 141.79/141.87  thf(sP55,plain,sP55 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP55])])).
% 141.79/141.87  thf(sP56,plain,sP56 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP56])])).
% 141.79/141.87  thf(sP57,plain,sP57 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP57])])).
% 141.79/141.87  thf(sP58,plain,sP58 <=> (((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__1)))),introduced(definition,[new_symbols(definition,[sP58])])).
% 141.79/141.87  thf(sP59,plain,sP59 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP59])])).
% 141.79/141.87  thf(sP60,plain,sP60 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP56 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP60])])).
% 141.79/141.87  thf(sP61,plain,sP61 <=> ((~(((~(((~((((b @ (eigen__0 @ (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__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (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,[sP61])])).
% 141.79/141.87  thf(sP62,plain,sP62 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP6)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP62])])).
% 141.79/141.87  thf(sP63,plain,sP63 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP63])])).
% 141.79/141.87  thf(sP64,plain,sP64 <=> (((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,[sP64])])).
% 141.79/141.87  thf(sP65,plain,sP65 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP30)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP65])])).
% 141.79/141.87  thf(sP66,plain,sP66 <=> ((~((((b @ (eigen__0 @ (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__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,[sP66])])).
% 141.79/141.87  thf(sP67,plain,sP67 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ 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,[sP67])])).
% 141.79/141.87  thf(sP68,plain,sP68 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP68])])).
% 141.79/141.87  thf(sP69,plain,sP69 <=> (![X1:$i]:((~(((~(((~(sP58)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP69])])).
% 141.79/141.87  thf(sP70,plain,sP70 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP70])])).
% 141.79/141.87  thf(sP71,plain,sP71 <=> ((~(sP45)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP71])])).
% 141.79/141.87  thf(sP72,plain,sP72 <=> ((~(((~((sP39 => (~(((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__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP72])])).
% 141.79/141.87  thf(sP73,plain,sP73 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP73])])).
% 141.79/141.87  thf(sP74,plain,sP74 <=> (![X1:$i]:((~(((~(((~(sP8)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP74])])).
% 141.79/141.87  thf(sP75,plain,sP75 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP75])])).
% 141.79/141.87  thf(sP76,plain,sP76 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP76])])).
% 141.79/141.87  thf(sP77,plain,sP77 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP77])])).
% 141.79/141.87  thf(sP78,plain,sP78 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP78])])).
% 141.79/141.87  thf(sP79,plain,sP79 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP79])])).
% 141.79/141.87  thf(sP80,plain,sP80 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP80])])).
% 141.79/141.87  thf(sP81,plain,sP81 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP81])])).
% 141.79/141.87  thf(sP82,plain,sP82 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP82])])).
% 141.79/141.87  thf(sP83,plain,sP83 <=> ((~(((~(((~((((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__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__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP83])])).
% 141.79/141.87  thf(sP84,plain,sP84 <=> ((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,[sP84])])).
% 141.79/141.87  thf(sP85,plain,sP85 <=> (sP4 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP85])])).
% 141.79/141.87  thf(sP86,plain,sP86 <=> (sP7 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP86])])).
% 141.79/141.87  thf(sP87,plain,sP87 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP87])])).
% 141.79/141.87  thf(sP88,plain,sP88 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP88])])).
% 141.79/141.87  thf(sP89,plain,sP89 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP89])])).
% 141.79/141.87  thf(sP90,plain,sP90 <=> ((~(((~(sP58)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP90])])).
% 141.79/141.87  thf(sP91,plain,sP91 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP80))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP91])])).
% 141.79/141.87  thf(sP92,plain,sP92 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(sP78))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP92])])).
% 141.79/141.87  thf(sP93,plain,sP93 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP93])])).
% 141.79/141.87  thf(sP94,plain,sP94 <=> ((~(((~(sP6)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (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,[sP94])])).
% 141.79/141.87  thf(sP95,plain,sP95 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP95])])).
% 141.79/141.87  thf(sP96,plain,sP96 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP51)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP96])])).
% 141.79/141.87  thf(sP97,plain,sP97 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP97])])).
% 141.79/141.87  thf(sP98,plain,sP98 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP56))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP98])])).
% 141.79/141.87  thf(sP99,plain,sP99 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP99])])).
% 141.79/141.87  thf(sP100,plain,sP100 <=> ((~(sP30)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP100])])).
% 141.79/141.87  thf(sP101,plain,sP101 <=> ((~(sP90)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP101])])).
% 141.79/141.87  thf(sP102,plain,sP102 <=> ((~(((eigen__0 @ eigen__1) = eigen__1))) => ((r @ (eigen__0 @ eigen__1)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP102])])).
% 141.79/141.87  thf(sP103,plain,sP103 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP103])])).
% 141.79/141.87  thf(sP104,plain,sP104 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP104])])).
% 141.79/141.87  thf(sP105,plain,sP105 <=> (![X1:$i]:((~(((~(((~(sP8)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP105])])).
% 141.79/141.87  thf(sP106,plain,sP106 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP18))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP106])])).
% 141.79/141.87  thf(sP107,plain,sP107 <=> (![X1:$i]:(![X2:$i]:((~((((r @ eigen__1) @ X1) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP107])])).
% 141.79/141.87  thf(sP108,plain,sP108 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP108])])).
% 141.79/141.87  thf(sP109,plain,sP109 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP109])])).
% 141.79/141.87  thf(sP110,plain,sP110 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP80))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP110])])).
% 141.79/141.87  thf(sP111,plain,sP111 <=> ((~(sP57)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP111])])).
% 141.79/141.87  thf(sP112,plain,sP112 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP112])])).
% 141.79/141.87  thf(sP113,plain,sP113 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP113])])).
% 141.79/141.87  thf(sP114,plain,sP114 <=> ((~(sP103)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP114])])).
% 141.79/141.87  thf(sP115,plain,sP115 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP115])])).
% 141.79/141.87  thf(sP116,plain,sP116 <=> (![X1:$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,[sP116])])).
% 141.79/141.87  thf(sP117,plain,sP117 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP117])])).
% 141.79/141.87  thf(sP118,plain,sP118 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP118])])).
% 141.79/141.87  thf(sP119,plain,sP119 <=> ((~(((~((((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__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP119])])).
% 141.79/141.87  thf(sP120,plain,sP120 <=> ((~(((~(sP32)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP112),introduced(definition,[new_symbols(definition,[sP120])])).
% 141.79/141.87  thf(sP121,plain,sP121 <=> (sP78 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP121])])).
% 141.79/141.87  thf(sP122,plain,sP122 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP122])])).
% 141.79/141.87  thf(sP123,plain,sP123 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP123])])).
% 141.79/141.87  thf(sP124,plain,sP124 <=> ((~((((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__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,[sP124])])).
% 141.79/141.87  thf(sP125,plain,sP125 <=> ((~(((~(((~((sP56 => (~(sP117))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP125])])).
% 141.79/141.87  thf(sP126,plain,sP126 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP126])])).
% 141.79/141.87  thf(sP127,plain,sP127 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__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__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,[sP127])])).
% 141.79/141.87  thf(sP128,plain,sP128 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP128])])).
% 141.79/141.87  thf(sP129,plain,sP129 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP129])])).
% 141.79/141.87  thf(sP130,plain,sP130 <=> ((~(((~(((~((sP112 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP130])])).
% 141.79/141.87  thf(sP131,plain,sP131 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => sP4))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP131])])).
% 141.79/141.87  thf(sP132,plain,sP132 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP80))))) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP132])])).
% 141.79/141.87  thf(sP133,plain,sP133 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP80))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP133])])).
% 141.79/141.87  thf(sP134,plain,sP134 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP108)) => (~(sP112))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP134])])).
% 141.79/141.87  thf(sP135,plain,sP135 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP135])])).
% 141.79/141.87  thf(sP136,plain,sP136 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP136])])).
% 141.79/141.87  thf(sP137,plain,sP137 <=> ((~(((~(sP19)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP137])])).
% 141.79/141.87  thf(sP138,plain,sP138 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP129))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP138])])).
% 141.79/141.87  thf(sP139,plain,sP139 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP139])])).
% 141.79/141.87  thf(sP140,plain,sP140 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP140])])).
% 141.79/141.87  thf(sP141,plain,sP141 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP97)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP141])])).
% 141.79/141.87  thf(sP142,plain,sP142 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP142])])).
% 141.79/141.87  thf(sP143,plain,sP143 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP143])])).
% 141.79/141.87  thf(sP144,plain,sP144 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP144])])).
% 141.79/141.87  thf(sP145,plain,sP145 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP117))))) => (~(sP37))),introduced(definition,[new_symbols(definition,[sP145])])).
% 141.79/141.87  thf(sP146,plain,sP146 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP146])])).
% 141.79/141.87  thf(sP147,plain,sP147 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP147])])).
% 141.79/141.87  thf(sP148,plain,sP148 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP148])])).
% 141.79/141.87  thf(sP149,plain,sP149 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP149])])).
% 141.79/141.87  thf(sP150,plain,sP150 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP150])])).
% 141.79/141.87  thf(sP151,plain,sP151 <=> ((~((sP78 => (~(sP39))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP151])])).
% 141.79/141.87  thf(sP152,plain,sP152 <=> (![X1:$i]:((~(((~(((~((sP56 => (~(sP117))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP152])])).
% 141.79/141.87  thf(sP153,plain,sP153 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP80))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP153])])).
% 141.79/141.87  thf(sP154,plain,sP154 <=> (![X1:$i]:((~((sP18 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP154])])).
% 141.79/141.87  thf(sP155,plain,sP155 <=> ((~((sP18 => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP155])])).
% 141.79/141.87  thf(sP156,plain,sP156 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP156])])).
% 141.79/141.87  thf(sP157,plain,sP157 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP157])])).
% 141.79/141.87  thf(sP158,plain,sP158 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP158])])).
% 141.79/141.87  thf(sP159,plain,sP159 <=> ((~(((~(((~((sP150 => (~(sP112))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP159])])).
% 141.79/141.87  thf(sP160,plain,sP160 <=> ((~(sP151)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP160])])).
% 141.79/141.87  thf(sP161,plain,sP161 <=> ((~(((~(((~((sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP150))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP161])])).
% 141.79/141.87  thf(sP162,plain,sP162 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP162])])).
% 141.79/141.87  thf(sP163,plain,sP163 <=> ((~(((~(((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)))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP163])])).
% 141.79/141.87  thf(sP164,plain,sP164 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP150))))) => (~(sP39))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP164])])).
% 141.79/141.87  thf(sP165,plain,sP165 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP165])])).
% 141.79/141.87  thf(sP166,plain,sP166 <=> (sP129 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP166])])).
% 141.79/141.87  thf(sP167,plain,sP167 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP167])])).
% 141.79/141.87  thf(sP168,plain,sP168 <=> ((~(((~(((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__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => sP37),introduced(definition,[new_symbols(definition,[sP168])])).
% 141.79/141.87  thf(sP169,plain,sP169 <=> (((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP169])])).
% 141.79/141.87  thf(sP170,plain,sP170 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP112))))) => (~(((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__1))) @ eigen__1)))))) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP170])])).
% 141.79/141.87  thf(sP171,plain,sP171 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP171])])).
% 141.79/141.87  thf(sP172,plain,sP172 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP172])])).
% 141.79/141.87  thf(sP173,plain,sP173 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP173])])).
% 141.79/141.87  thf(sP174,plain,sP174 <=> ((~(sP153)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP174])])).
% 141.79/141.87  thf(sP175,plain,sP175 <=> (![X1:$i]:((~(((~(((~((sP150 => (~(sP112))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP175])])).
% 141.79/141.87  thf(sP176,plain,sP176 <=> ((~(((~((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,[sP176])])).
% 141.79/141.87  thf(sP177,plain,sP177 <=> ((~(((~(sP59)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP177])])).
% 141.79/141.87  thf(sP178,plain,sP178 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP178])])).
% 141.79/141.87  thf(sP179,plain,sP179 <=> (sP165 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP179])])).
% 141.79/141.87  thf(sP180,plain,sP180 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP5),introduced(definition,[new_symbols(definition,[sP180])])).
% 141.79/141.87  thf(sP181,plain,sP181 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP181])])).
% 141.79/141.87  thf(sP182,plain,sP182 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP182])])).
% 141.79/141.87  thf(sP183,plain,sP183 <=> ((~(((~(((~(sP58)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP183])])).
% 141.79/141.87  thf(sP184,plain,sP184 <=> ((~(((~(sP58)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP184])])).
% 141.79/141.87  thf(sP185,plain,sP185 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP185])])).
% 141.79/141.87  thf(sP186,plain,sP186 <=> ((~(sP44)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP186])])).
% 141.79/141.87  thf(sP187,plain,sP187 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))),introduced(definition,[new_symbols(definition,[sP187])])).
% 141.79/141.87  thf(sP188,plain,sP188 <=> ((~(((~(sP8)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP188])])).
% 141.79/141.87  thf(sP189,plain,sP189 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP189])])).
% 141.79/141.87  thf(sP190,plain,sP190 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP190])])).
% 141.79/141.87  thf(sP191,plain,sP191 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP80))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP191])])).
% 141.79/141.87  thf(sP192,plain,sP192 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP46))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP192])])).
% 141.79/141.87  thf(sP193,plain,sP193 <=> ((~(sP58)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP193])])).
% 141.79/141.87  thf(sP194,plain,sP194 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP194])])).
% 141.79/141.87  thf(sP195,plain,sP195 <=> (![X1:$i]:((~(((~(sP6)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP195])])).
% 141.79/141.87  thf(sP196,plain,sP196 <=> ((~(((~((sP129 => (~(sP182))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP196])])).
% 141.79/141.87  thf(sP197,plain,sP197 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP182))))) => (~(sP37))))) => (~(((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__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP197])])).
% 141.79/141.87  thf(sP198,plain,sP198 <=> ((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])])).
% 141.79/141.87  thf(sP199,plain,sP199 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP199])])).
% 141.79/141.87  thf(sP200,plain,sP200 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP18),introduced(definition,[new_symbols(definition,[sP200])])).
% 141.79/141.87  thf(sP201,plain,sP201 <=> (![X1:$i]:((~(((~(sP66)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP201])])).
% 141.79/141.87  thf(sP202,plain,sP202 <=> ((~((sP199 => (~(sP7))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP202])])).
% 141.79/141.87  thf(sP203,plain,sP203 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)) => sP59),introduced(definition,[new_symbols(definition,[sP203])])).
% 141.79/141.87  thf(sP204,plain,sP204 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP204])])).
% 141.79/141.87  thf(sP205,plain,sP205 <=> (![X1:$i]:((~(sP153)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP205])])).
% 141.79/141.87  thf(sP206,plain,sP206 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP112))))) => (~(((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__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP206])])).
% 141.79/141.87  thf(sP207,plain,sP207 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP207])])).
% 141.79/141.87  thf(sP208,plain,sP208 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP207))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP208])])).
% 141.79/141.87  thf(sP209,plain,sP209 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP4))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP209])])).
% 141.79/141.87  thf(sP210,plain,sP210 <=> ((~((sP4 => (~(((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,[sP210])])).
% 141.79/141.87  thf(sP211,plain,sP211 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP149))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP211])])).
% 141.79/141.87  thf(sP212,plain,sP212 <=> ((~(sP169)) => (~(sP117))),introduced(definition,[new_symbols(definition,[sP212])])).
% 141.79/141.87  thf(sP213,plain,sP213 <=> (![X1:$i]:((~(((~(sP212)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP213])])).
% 141.79/141.87  thf(sP214,plain,sP214 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP214])])).
% 141.80/141.89  thf(sP215,plain,sP215 <=> (![X1:$i]:((~((((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__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP215])])).
% 141.80/141.89  thf(sP216,plain,sP216 <=> (sP112 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP216])])).
% 141.80/141.89  thf(sP217,plain,sP217 <=> ((~(((~((sP129 => (~(sP182))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP217])])).
% 141.80/141.89  thf(sP218,plain,sP218 <=> (sP7 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP218])])).
% 141.80/141.89  thf(sP219,plain,sP219 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP219])])).
% 141.80/141.89  thf(sP220,plain,sP220 <=> (![X1:$i]:((~((((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__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP220])])).
% 141.80/141.89  thf(sP221,plain,sP221 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP80))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP221])])).
% 141.80/141.89  thf(sP222,plain,sP222 <=> (sP207 => (~(sP149))),introduced(definition,[new_symbols(definition,[sP222])])).
% 141.80/141.89  thf(sP223,plain,sP223 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP223])])).
% 141.80/141.89  thf(sP224,plain,sP224 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP224])])).
% 141.80/141.89  thf(sP225,plain,sP225 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP182))))) => (~(sP37))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP225])])).
% 141.80/141.89  thf(sP226,plain,sP226 <=> ((~(((~(((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))))))) => sP39),introduced(definition,[new_symbols(definition,[sP226])])).
% 141.80/141.89  thf(sP227,plain,sP227 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP56))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP227])])).
% 141.80/141.89  thf(sP228,plain,sP228 <=> ((~(((~((eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP56),introduced(definition,[new_symbols(definition,[sP228])])).
% 141.80/141.89  thf(sP229,plain,sP229 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP229])])).
% 141.80/141.89  thf(sP230,plain,sP230 <=> (![X1:$i]:((~(sP71)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP230])])).
% 141.80/141.89  thf(sP231,plain,sP231 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP231])])).
% 141.80/141.89  thf(sP232,plain,sP232 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP232])])).
% 141.80/141.89  thf(sP233,plain,sP233 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP199))))) => (~(sP20))),introduced(definition,[new_symbols(definition,[sP233])])).
% 141.80/141.89  thf(sP234,plain,sP234 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP234])])).
% 141.80/141.89  thf(sP235,plain,sP235 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP235])])).
% 141.80/141.89  thf(sP236,plain,sP236 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP236])])).
% 141.80/141.89  thf(sP237,plain,sP237 <=> (sP112 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP237])])).
% 141.80/141.89  thf(sP238,plain,sP238 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (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,[sP238])])).
% 141.80/141.89  thf(sP239,plain,sP239 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP239])])).
% 141.80/141.89  thf(sP240,plain,sP240 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP239))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP240])])).
% 141.80/141.89  thf(sP241,plain,sP241 <=> (![X1:$i]:((~((sP199 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP241])])).
% 141.80/141.89  thf(sP242,plain,sP242 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP242])])).
% 141.80/141.89  thf(sP243,plain,sP243 <=> ((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,[sP243])])).
% 141.80/141.89  thf(sP244,plain,sP244 <=> (![X1:$i]:((~(sP89)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP244])])).
% 141.80/141.89  thf(sP245,plain,sP245 <=> (![X1:$i]:((~((sP20 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP245])])).
% 141.80/141.89  thf(sP246,plain,sP246 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP246])])).
% 141.80/141.89  thf(sP247,plain,sP247 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP247])])).
% 141.80/141.89  thf(sP248,plain,sP248 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP239))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP248])])).
% 141.80/141.89  thf(sP249,plain,sP249 <=> ((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,[sP249])])).
% 141.80/141.89  thf(sP250,plain,sP250 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP250])])).
% 141.80/141.89  thf(sP251,plain,sP251 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP145)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP251])])).
% 141.80/141.89  thf(sP252,plain,sP252 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP252])])).
% 141.80/141.89  thf(sP253,plain,sP253 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1))) => sP149))) => sP80),introduced(definition,[new_symbols(definition,[sP253])])).
% 141.80/141.89  thf(sP254,plain,sP254 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP254])])).
% 141.80/141.89  thf(sP255,plain,sP255 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP255])])).
% 141.80/141.89  thf(sP256,plain,sP256 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP256])])).
% 141.80/141.89  thf(sP257,plain,sP257 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP257])])).
% 141.80/141.89  thf(sP258,plain,sP258 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP258])])).
% 141.80/141.89  thf(sP259,plain,sP259 <=> ((~(sP166)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP259])])).
% 141.80/141.89  thf(sP260,plain,sP260 <=> ((~(sP85)) => (~(sP7))),introduced(definition,[new_symbols(definition,[sP260])])).
% 141.80/141.89  thf(sP261,plain,sP261 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP129 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP261])])).
% 141.80/141.89  thf(sP262,plain,sP262 <=> (sP4 => (~(sP256))),introduced(definition,[new_symbols(definition,[sP262])])).
% 141.80/141.89  thf(sP263,plain,sP263 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(sP257))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP263])])).
% 141.80/141.89  thf(sP264,plain,sP264 <=> ((~(sP97)) => (~(sP150))),introduced(definition,[new_symbols(definition,[sP264])])).
% 141.80/141.89  thf(sP265,plain,sP265 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP265])])).
% 141.80/141.89  thf(sP266,plain,sP266 <=> (![X1:$i]:((~(sP16)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP266])])).
% 141.80/141.89  thf(sP267,plain,sP267 <=> (sP18 => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP267])])).
% 141.80/141.89  thf(sP268,plain,sP268 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP268])])).
% 141.80/141.89  thf(sP269,plain,sP269 <=> ((~(sP66)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP269])])).
% 141.80/141.89  thf(sP270,plain,sP270 <=> (sP78 => (~(sP39))),introduced(definition,[new_symbols(definition,[sP270])])).
% 141.80/141.89  thf(sP271,plain,sP271 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP18))),introduced(definition,[new_symbols(definition,[sP271])])).
% 141.80/141.89  thf(sP272,plain,sP272 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP216)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP272])])).
% 141.80/141.89  thf(sP273,plain,sP273 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP56 => (~(sP117))))) => (~(sP182))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP273])])).
% 141.80/141.89  thf(sP274,plain,sP274 <=> ((~(sP108)) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP274])])).
% 141.80/141.89  thf(sP275,plain,sP275 <=> ((~((sP268 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP275])])).
% 141.80/141.89  thf(sP276,plain,sP276 <=> ((~(sP123)) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP276])])).
% 141.80/141.89  thf(sP277,plain,sP277 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP277])])).
% 141.80/141.89  thf(sP278,plain,sP278 <=> (![X1:$i]:((~(((~(sP133)) => (~(sP56))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP278])])).
% 141.80/141.89  thf(sP279,plain,sP279 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP182))))) => (~(sP37))))) => (~(sP252))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP279])])).
% 141.80/141.89  thf(sP280,plain,sP280 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP280])])).
% 141.80/141.89  thf(sP281,plain,sP281 <=> ((~((sP150 => (~(sP112))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP281])])).
% 141.80/141.89  thf(sP282,plain,sP282 <=> (![X1:$i]:((~(((~(sP259)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP282])])).
% 141.80/141.89  thf(sP283,plain,sP283 <=> (![X1:$i]:((~(sP41)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP283])])).
% 141.80/141.89  thf(sP284,plain,sP284 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP284])])).
% 141.80/141.89  thf(sP285,plain,sP285 <=> ((~(sP41)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP285])])).
% 141.80/141.89  thf(sP286,plain,sP286 <=> ((~(sP238)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP286])])).
% 141.80/141.89  thf(sP287,plain,sP287 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP237)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP287])])).
% 141.80/141.89  thf(sP288,plain,sP288 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP268),introduced(definition,[new_symbols(definition,[sP288])])).
% 141.80/141.89  thf(sP289,plain,sP289 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP19)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP289])])).
% 141.80/141.89  thf(sP290,plain,sP290 <=> ((~(sP21)) => sP117),introduced(definition,[new_symbols(definition,[sP290])])).
% 141.80/141.89  thf(sP291,plain,sP291 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP78))))) => (~(sP219))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP291])])).
% 141.80/141.89  thf(sP292,plain,sP292 <=> ((~(sP122)) => sP219),introduced(definition,[new_symbols(definition,[sP292])])).
% 141.80/141.89  thf(sP293,plain,sP293 <=> (![X1:$i]:((~(sP98)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP293])])).
% 141.80/141.89  thf(sP294,plain,sP294 <=> ((~((sP129 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP294])])).
% 141.80/141.89  thf(sP295,plain,sP295 <=> ((~(sP212)) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP295])])).
% 141.80/141.89  thf(sP296,plain,sP296 <=> ((~(sP294)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP296])])).
% 141.80/141.89  thf(sP297,plain,sP297 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP297])])).
% 141.80/141.89  thf(sP298,plain,sP298 <=> ((~(((~(((~(sP121)) => (~(sP112))))) => (~(sP129))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP298])])).
% 141.80/141.89  thf(sP299,plain,sP299 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP299])])).
% 141.80/141.89  thf(sP300,plain,sP300 <=> ((~(sP89)) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP300])])).
% 141.80/141.89  thf(sP301,plain,sP301 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP256))),introduced(definition,[new_symbols(definition,[sP301])])).
% 141.80/141.89  thf(sP302,plain,sP302 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))))) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP302])])).
% 141.80/141.89  thf(sP303,plain,sP303 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (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__1)))))),introduced(definition,[new_symbols(definition,[sP303])])).
% 141.80/141.89  thf(sP304,plain,sP304 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP304])])).
% 141.80/141.89  thf(sP305,plain,sP305 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP219 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP305])])).
% 141.80/141.89  thf(sP306,plain,sP306 <=> ((~((sP256 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP268))),introduced(definition,[new_symbols(definition,[sP306])])).
% 141.80/141.89  thf(sP307,plain,sP307 <=> (![X1:$i]:((~(((~(((~(sP237)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (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__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP307])])).
% 141.80/141.89  thf(sP308,plain,sP308 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP308])])).
% 141.80/141.89  thf(sP309,plain,sP309 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP309])])).
% 141.80/141.89  thf(sP310,plain,sP310 <=> ((~(sP67)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP310])])).
% 141.80/141.89  thf(sP311,plain,sP311 <=> ((~(((~(sP5)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))) => sP239),introduced(definition,[new_symbols(definition,[sP311])])).
% 141.80/141.89  thf(sP312,plain,sP312 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP78))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP312])])).
% 141.80/141.89  thf(sP313,plain,sP313 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP78 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP313])])).
% 141.80/141.89  thf(sP314,plain,sP314 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP314])])).
% 141.80/141.89  thf(sP315,plain,sP315 <=> ((~(sP9)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP315])])).
% 141.80/141.89  thf(sP316,plain,sP316 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP316])])).
% 141.80/141.89  thf(sP317,plain,sP317 <=> (sP149 => (~(sP268))),introduced(definition,[new_symbols(definition,[sP317])])).
% 141.80/141.89  thf(sP318,plain,sP318 <=> (sP39 => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP318])])).
% 141.80/141.89  thf(sP319,plain,sP319 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP199))),introduced(definition,[new_symbols(definition,[sP319])])).
% 141.80/141.89  thf(sP320,plain,sP320 <=> (![X1:$i]:((~(((~(sP63)) => (~(sP56))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP320])])).
% 141.80/141.89  thf(sP321,plain,sP321 <=> ((~(((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,[sP321])])).
% 141.80/141.89  thf(sP322,plain,sP322 <=> ((~(((~(sP145)) => (~(sP239))))) => (~(sP265))),introduced(definition,[new_symbols(definition,[sP322])])).
% 141.80/141.89  thf(sP323,plain,sP323 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP281)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP323])])).
% 141.80/141.89  thf(sP324,plain,sP324 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP112))))) => (~(sP252))),introduced(definition,[new_symbols(definition,[sP324])])).
% 141.80/141.89  thf(sP325,plain,sP325 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP325])])).
% 141.80/141.89  thf(sP326,plain,sP326 <=> (sP199 => (~(sP7))),introduced(definition,[new_symbols(definition,[sP326])])).
% 141.80/141.89  thf(sP327,plain,sP327 <=> (![X1:$i]:((~(sP90)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP327])])).
% 141.80/141.89  thf(sP328,plain,sP328 <=> ((~(((~(sP237)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP328])])).
% 141.80/141.89  thf(sP329,plain,sP329 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((r @ X1) @ X2) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP329])])).
% 141.80/141.89  thf(sP330,plain,sP330 <=> ((~(sP185)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP330])])).
% 141.80/141.89  thf(sP331,plain,sP331 <=> (![X1:$i]:((~(((~(sP6)) => (~(sP219))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP331])])).
% 141.80/141.89  thf(sP332,plain,sP332 <=> ((~(sP6)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP332])])).
% 141.80/141.89  thf(sP333,plain,sP333 <=> ((~((sP219 => (~(sP129))))) => (~(sP150))),introduced(definition,[new_symbols(definition,[sP333])])).
% 141.80/141.89  thf(sP334,plain,sP334 <=> ((~(sP314)) => (~(sP265))),introduced(definition,[new_symbols(definition,[sP334])])).
% 141.80/141.89  thf(sP335,plain,sP335 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP335])])).
% 141.80/141.89  thf(sP336,plain,sP336 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP336])])).
% 141.80/141.89  thf(sP337,plain,sP337 <=> ((~(sP110)) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP337])])).
% 141.80/141.89  thf(sP338,plain,sP338 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP338])])).
% 141.80/141.89  thf(sP339,plain,sP339 <=> (sP129 => (~(sP182))),introduced(definition,[new_symbols(definition,[sP339])])).
% 141.80/141.89  thf(sP340,plain,sP340 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP304))),introduced(definition,[new_symbols(definition,[sP340])])).
% 141.80/141.89  thf(sP341,plain,sP341 <=> (sP56 => (~(sP140))),introduced(definition,[new_symbols(definition,[sP341])])).
% 141.80/141.89  thf(sP342,plain,sP342 <=> (![X1:$i]:((~(sP119)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP342])])).
% 141.80/141.89  thf(sP343,plain,sP343 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP343])])).
% 141.80/141.89  thf(sP344,plain,sP344 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP344])])).
% 141.80/141.89  thf(sP345,plain,sP345 <=> ((~(sP10)) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP345])])).
% 141.80/141.89  thf(sP346,plain,sP346 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP346])])).
% 141.80/141.89  thf(sP347,plain,sP347 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP347])])).
% 141.80/141.89  thf(sP348,plain,sP348 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP325))))) => (~(sP150))))) => (~(sP39))))) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP348])])).
% 141.80/141.89  thf(sP349,plain,sP349 <=> (![X1:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP150))))) => (~(sP308))))) => (~(sP78))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP349])])).
% 141.80/141.89  thf(sP350,plain,sP350 <=> ((~(((~(((~(sP216)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP140))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP350])])).
% 141.80/141.89  thf(sP351,plain,sP351 <=> (sP129 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP351])])).
% 141.80/141.89  thf(sP352,plain,sP352 <=> (sP207 => (~(sP268))),introduced(definition,[new_symbols(definition,[sP352])])).
% 141.80/141.89  thf(sP353,plain,sP353 <=> ((~(sP72)) => (~(sP78))),introduced(definition,[new_symbols(definition,[sP353])])).
% 141.80/141.89  thf(sP354,plain,sP354 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP247),introduced(definition,[new_symbols(definition,[sP354])])).
% 141.80/141.89  thf(sP355,plain,sP355 <=> ((~(((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP7))) => sP257),introduced(definition,[new_symbols(definition,[sP355])])).
% 141.80/141.89  thf(sP356,plain,sP356 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP356])])).
% 141.80/141.89  thf(sP357,plain,sP357 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP357])])).
% 141.80/141.89  thf(sP358,plain,sP358 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP358])])).
% 141.80/141.89  thf(sP359,plain,sP359 <=> (![X1:$i]:((~(((~(((~(sP214)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP359])])).
% 141.80/141.89  thf(sP360,plain,sP360 <=> (sP20 => (~(sP4))),introduced(definition,[new_symbols(definition,[sP360])])).
% 141.80/141.89  thf(sP361,plain,sP361 <=> ((~(sP271)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP361])])).
% 141.80/141.89  thf(sP362,plain,sP362 <=> ((~(sP218)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP362])])).
% 141.80/141.89  thf(sP363,plain,sP363 <=> (sP268 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP363])])).
% 141.80/141.89  thf(sP364,plain,sP364 <=> (![X1:$i]:((~(sP100)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP364])])).
% 141.80/141.89  thf(sP365,plain,sP365 <=> (![X1:$i]:((~(sP10)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP365])])).
% 141.80/141.89  thf(sP366,plain,sP366 <=> ((~(((~(sP38)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))) => sP325),introduced(definition,[new_symbols(definition,[sP366])])).
% 141.80/141.89  thf(sP367,plain,sP367 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP121)) => (~(sP112))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP367])])).
% 141.80/141.89  thf(sP368,plain,sP368 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP325))))) => (~(sP150))),introduced(definition,[new_symbols(definition,[sP368])])).
% 141.80/141.89  thf(sP369,plain,sP369 <=> ((~(sP139)) => sP252),introduced(definition,[new_symbols(definition,[sP369])])).
% 141.80/141.89  thf(sP370,plain,sP370 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP39 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP370])])).
% 141.80/141.89  thf(sP371,plain,sP371 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP371])])).
% 141.80/141.89  thf(sP372,plain,sP372 <=> (sP247 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP372])])).
% 141.80/141.89  thf(sP373,plain,sP373 <=> ((~(((~(sP264)) => (~(sP39))))) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP373])])).
% 141.80/141.89  thf(sP374,plain,sP374 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP374])])).
% 141.80/141.89  thf(sP375,plain,sP375 <=> (sP336 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP375])])).
% 141.80/141.89  thf(sP376,plain,sP376 <=> (((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__1))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP376])])).
% 141.80/141.89  thf(sP377,plain,sP377 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))),introduced(definition,[new_symbols(definition,[sP377])])).
% 141.80/141.89  thf(sP378,plain,sP378 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP378])])).
% 141.80/141.89  thf(sP379,plain,sP379 <=> (![X1:$i]:((~(sP217)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP379])])).
% 141.80/141.89  thf(sP380,plain,sP380 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP380])])).
% 141.80/141.89  thf(sP381,plain,sP381 <=> ((~(((~((sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP257))))) => (~(sP374))),introduced(definition,[new_symbols(definition,[sP381])])).
% 141.80/141.89  thf(sP382,plain,sP382 <=> (![X1:$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,[sP382])])).
% 141.80/141.89  thf(sP383,plain,sP383 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP383])])).
% 141.80/141.89  thf(sP384,plain,sP384 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP384])])).
% 141.80/141.89  thf(sP385,plain,sP385 <=> ((~((sP7 => (~(sP199))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP385])])).
% 141.80/141.89  thf(sP386,plain,sP386 <=> (![X1:$i]:((~(((~(sP324)) => (~(sP219))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP386])])).
% 141.80/141.89  thf(sP387,plain,sP387 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP165 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP387])])).
% 141.80/141.89  thf(sP388,plain,sP388 <=> ((~(sP264)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP388])])).
% 141.80/141.89  thf(sP389,plain,sP389 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP358 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP389])])).
% 141.80/141.89  thf(sP390,plain,sP390 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP390])])).
% 141.80/141.89  thf(sP391,plain,sP391 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP150))))) => (~(sP308))))) => (~(sP78))),introduced(definition,[new_symbols(definition,[sP391])])).
% 141.80/141.89  thf(sP392,plain,sP392 <=> ((~(sP32)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP392])])).
% 141.80/141.89  thf(sP393,plain,sP393 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP393])])).
% 141.80/141.89  thf(sP394,plain,sP394 <=> (![X1:$i]:((~(sP132)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP394])])).
% 141.80/141.89  thf(sP395,plain,sP395 <=> ((~(((~(sP8)) => (~(sP374))))) => (~(sP265))),introduced(definition,[new_symbols(definition,[sP395])])).
% 141.80/141.89  thf(sP396,plain,sP396 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP396])])).
% 141.80/141.89  thf(sP397,plain,sP397 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP397])])).
% 141.80/141.89  thf(sP398,plain,sP398 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP398])])).
% 141.80/141.89  thf(sP399,plain,sP399 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP59),introduced(definition,[new_symbols(definition,[sP399])])).
% 141.80/141.89  thf(sP400,plain,sP400 <=> ((~(sP145)) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP400])])).
% 141.80/141.89  thf(sP401,plain,sP401 <=> (sP256 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP401])])).
% 141.80/141.89  thf(sP402,plain,sP402 <=> ((~(sP301)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP402])])).
% 141.80/141.89  thf(sP403,plain,sP403 <=> (![X1:$i]:((~((((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__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP403])])).
% 141.80/141.89  thf(sP404,plain,sP404 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP404])])).
% 141.80/141.89  thf(sP405,plain,sP405 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP405])])).
% 141.80/141.89  thf(sP406,plain,sP406 <=> ((~(sP6)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP406])])).
% 141.80/141.89  thf(sP407,plain,sP407 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP390))))) => (~(sP249))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP407])])).
% 141.80/141.89  thf(sP408,plain,sP408 <=> (sP149 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP408])])).
% 141.80/141.89  thf(sP409,plain,sP409 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP335 => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP358))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP409])])).
% 141.80/141.89  thf(sP410,plain,sP410 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP410])])).
% 141.80/141.89  thf(sP411,plain,sP411 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP411])])).
% 141.80/141.89  thf(sP412,plain,sP412 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP412])])).
% 141.80/141.89  thf(sP413,plain,sP413 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP179)) => (~(sP129))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP413])])).
% 141.80/141.89  thf(sP414,plain,sP414 <=> ((~(sP281)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP414])])).
% 141.80/141.89  thf(sP415,plain,sP415 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP415])])).
% 141.80/141.89  thf(sP416,plain,sP416 <=> ((~((sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP416])])).
% 141.80/141.89  thf(sP417,plain,sP417 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP417])])).
% 141.80/141.89  thf(sP418,plain,sP418 <=> (![X1:$i]:((~((sP396 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP418])])).
% 141.80/141.89  thf(sP419,plain,sP419 <=> ((~((sP39 => (~(sP78))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP419])])).
% 141.80/141.89  thf(sP420,plain,sP420 <=> (![X1:$i]:((~(sP229)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP420])])).
% 141.80/141.89  thf(sP421,plain,sP421 <=> ((~((sP325 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP78))),introduced(definition,[new_symbols(definition,[sP421])])).
% 141.80/141.89  thf(sP422,plain,sP422 <=> (![X1:$i]:((~(sP196)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP422])])).
% 141.80/141.89  thf(sP423,plain,sP423 <=> ((~(sP333)) => (~(sP335))),introduced(definition,[new_symbols(definition,[sP423])])).
% 141.80/141.89  thf(sP424,plain,sP424 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP214)) => (~(((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__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP424])])).
% 141.80/141.89  thf(sP425,plain,sP425 <=> (((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP78))),introduced(definition,[new_symbols(definition,[sP425])])).
% 141.80/141.89  thf(sP426,plain,sP426 <=> (sP357 => sP316),introduced(definition,[new_symbols(definition,[sP426])])).
% 141.80/141.89  thf(sP427,plain,sP427 <=> ((~(sP59)) => sP396),introduced(definition,[new_symbols(definition,[sP427])])).
% 141.80/141.89  thf(sP428,plain,sP428 <=> ((~(sP121)) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP428])])).
% 141.80/141.89  thf(sP429,plain,sP429 <=> (sP268 => (~(sP149))),introduced(definition,[new_symbols(definition,[sP429])])).
% 141.80/141.89  thf(sP430,plain,sP430 <=> (![X1:$i]:((~(sP206)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP430])])).
% 141.80/141.89  thf(sP431,plain,sP431 <=> ((~(((~(sP51)) => (~(sP265))))) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP431])])).
% 141.80/141.89  thf(sP432,plain,sP432 <=> (![X1:$i]:((~(sP44)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP432])])).
% 141.80/141.89  thf(sP433,plain,sP433 <=> (sP325 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP433])])).
% 141.80/141.89  thf(sP434,plain,sP434 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP434])])).
% 141.80/141.89  thf(sP435,plain,sP435 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP435])])).
% 141.80/141.89  thf(sP436,plain,sP436 <=> ((~(sP340)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP436])])).
% 141.80/141.89  thf(sP437,plain,sP437 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP335 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP437])])).
% 141.80/141.89  thf(sP438,plain,sP438 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP438])])).
% 141.80/141.89  thf(sP439,plain,sP439 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP439])])).
% 141.80/141.89  thf(sP440,plain,sP440 <=> (sP344 => (~(sP7))),introduced(definition,[new_symbols(definition,[sP440])])).
% 141.80/141.89  thf(sP441,plain,sP441 <=> ((~(sP23)) => (~(sP404))),introduced(definition,[new_symbols(definition,[sP441])])).
% 141.80/141.89  thf(sP442,plain,sP442 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP7),introduced(definition,[new_symbols(definition,[sP442])])).
% 141.80/141.89  thf(sP443,plain,sP443 <=> (![X1:$i]:((~(((~(((~(sP216)) => (~(sP358))))) => (~(sP140))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP443])])).
% 141.80/141.89  thf(sP444,plain,sP444 <=> (sP412 => (~(sP150))),introduced(definition,[new_symbols(definition,[sP444])])).
% 141.80/141.89  thf(sP445,plain,sP445 <=> (sP412 => (~(sP374))),introduced(definition,[new_symbols(definition,[sP445])])).
% 141.80/141.89  thf(sP446,plain,sP446 <=> (sP242 => sP405),introduced(definition,[new_symbols(definition,[sP446])])).
% 141.80/141.89  thf(sP447,plain,sP447 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP421)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP447])])).
% 141.80/141.89  thf(sP448,plain,sP448 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1))) => sP149),introduced(definition,[new_symbols(definition,[sP448])])).
% 141.80/141.89  thf(sP449,plain,sP449 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP66)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP449])])).
% 141.80/141.89  thf(sP450,plain,sP450 <=> ((~(sP179)) => (~(sP129))),introduced(definition,[new_symbols(definition,[sP450])])).
% 141.80/141.89  thf(sP451,plain,sP451 <=> ((~(((~((sP335 => (~(sP434))))) => (~(sP358))))) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP451])])).
% 141.80/141.89  thf(sP452,plain,sP452 <=> ((~(sP8)) => (~(sP374))),introduced(definition,[new_symbols(definition,[sP452])])).
% 141.80/141.89  thf(sP453,plain,sP453 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP182))),introduced(definition,[new_symbols(definition,[sP453])])).
% 141.80/141.89  thf(sP454,plain,sP454 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)))) => sP20))) => sP129),introduced(definition,[new_symbols(definition,[sP454])])).
% 141.80/141.89  thf(sP455,plain,sP455 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP314)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP455])])).
% 141.80/141.89  thf(sP456,plain,sP456 <=> ((~(((~(sP133)) => (~(sP56))))) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP456])])).
% 141.80/141.89  thf(sP457,plain,sP457 <=> ((~(((~(sP316)) => sP438))) => sP308),introduced(definition,[new_symbols(definition,[sP457])])).
% 141.80/141.89  thf(sP458,plain,sP458 <=> ((~(sP444)) => (~(sP308))),introduced(definition,[new_symbols(definition,[sP458])])).
% 141.80/141.89  thf(sP459,plain,sP459 <=> ((~(sP133)) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP459])])).
% 141.80/141.89  thf(sP460,plain,sP460 <=> (![X1:$i]:((~(sP312)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP460])])).
% 141.80/141.89  thf(sP461,plain,sP461 <=> ((~(sP237)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP461])])).
% 141.80/141.89  thf(sP462,plain,sP462 <=> (![X1:$i]:((~((sP207 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP462])])).
% 141.80/141.89  thf(sP463,plain,sP463 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP463])])).
% 141.80/141.89  thf(sP464,plain,sP464 <=> ((~((sP393 => (~(sP411))))) => (~(sP20))),introduced(definition,[new_symbols(definition,[sP464])])).
% 141.80/141.89  thf(sP465,plain,sP465 <=> (sP304 => (~(sP4))),introduced(definition,[new_symbols(definition,[sP465])])).
% 141.80/141.89  thf(sP466,plain,sP466 <=> ((~(sP172)) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP466])])).
% 141.80/141.89  thf(sP467,plain,sP467 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP45)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP467])])).
% 141.80/141.89  thf(sP468,plain,sP468 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP468])])).
% 141.80/141.89  thf(sP469,plain,sP469 <=> (sP335 => (~(sP78))),introduced(definition,[new_symbols(definition,[sP469])])).
% 141.80/141.89  thf(sP470,plain,sP470 <=> ((~(sP38)) => sP417),introduced(definition,[new_symbols(definition,[sP470])])).
% 141.80/141.89  thf(sP471,plain,sP471 <=> ((~(sP368)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP471])])).
% 141.80/141.89  thf(sP472,plain,sP472 <=> ((~(sP27)) => (~(sP247))),introduced(definition,[new_symbols(definition,[sP472])])).
% 141.80/141.89  thf(sP473,plain,sP473 <=> (sP325 => (~(sP80))),introduced(definition,[new_symbols(definition,[sP473])])).
% 141.80/141.89  thf(sP474,plain,sP474 <=> ((~(sP217)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP474])])).
% 141.80/141.89  thf(sP475,plain,sP475 <=> ((~(sP102)) => sP434),introduced(definition,[new_symbols(definition,[sP475])])).
% 141.80/141.89  thf(sP476,plain,sP476 <=> (![X1:$i]:((~((sP7 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP476])])).
% 141.80/141.89  thf(sP477,plain,sP477 <=> ((~(((~(sP242)) => sP199))) => sP140),introduced(definition,[new_symbols(definition,[sP477])])).
% 141.80/141.89  thf(sP478,plain,sP478 <=> ((~(sP229)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP478])])).
% 141.80/141.89  thf(sP479,plain,sP479 <=> (![X1:$i]:((~((sP46 => (~(((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)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP479])])).
% 141.80/141.89  thf(sP480,plain,sP480 <=> (sP39 => (~(sP384))),introduced(definition,[new_symbols(definition,[sP480])])).
% 141.80/141.89  thf(sP481,plain,sP481 <=> (sP393 => (~(sP396))),introduced(definition,[new_symbols(definition,[sP481])])).
% 141.80/141.89  thf(sP482,plain,sP482 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP212)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP482])])).
% 141.80/141.89  thf(sP483,plain,sP483 <=> (sP32 => sP38),introduced(definition,[new_symbols(definition,[sP483])])).
% 141.80/141.89  thf(sP484,plain,sP484 <=> ((~(((~(sP54)) => (~(sP434))))) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP484])])).
% 141.80/141.89  thf(sP485,plain,sP485 <=> ((~(((~((sP56 => (~(sP117))))) => (~(sP182))))) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP485])])).
% 141.80/141.89  thf(sP486,plain,sP486 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP256),introduced(definition,[new_symbols(definition,[sP486])])).
% 141.80/141.89  thf(sP487,plain,sP487 <=> ((~(sP295)) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP487])])).
% 141.80/141.89  thf(sP488,plain,sP488 <=> (![X1:$i]:((~((sP4 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP488])])).
% 141.80/141.89  thf(sP489,plain,sP489 <=> ((~(sP259)) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP489])])).
% 141.80/141.89  thf(sP490,plain,sP490 <=> (sP335 => (~(sP434))),introduced(definition,[new_symbols(definition,[sP490])])).
% 141.80/141.89  thf(sP491,plain,sP491 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP491])])).
% 141.80/141.89  thf(sP492,plain,sP492 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (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__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP492])])).
% 141.80/141.89  thf(sP493,plain,sP493 <=> ((~(sP453)) => (~(sP37))),introduced(definition,[new_symbols(definition,[sP493])])).
% 141.80/141.89  thf(sP494,plain,sP494 <=> (sP7 => (~(sP199))),introduced(definition,[new_symbols(definition,[sP494])])).
% 141.80/141.89  thf(sP495,plain,sP495 <=> (![X1:$i]:((~((sP463 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP495])])).
% 141.80/141.89  thf(sP496,plain,sP496 <=> (![X1:$i]:((~((sP268 => (~(((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,[sP496])])).
% 141.80/141.89  thf(sP497,plain,sP497 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP112 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP497])])).
% 141.80/141.89  thf(sP498,plain,sP498 <=> ((~(sP132)) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP498])])).
% 141.80/141.89  thf(sP499,plain,sP499 <=> ((~(sP428)) => (~(sP129))),introduced(definition,[new_symbols(definition,[sP499])])).
% 141.80/141.89  thf(sP500,plain,sP500 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP500])])).
% 141.80/141.89  thf(sP501,plain,sP501 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP333)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP501])])).
% 141.80/141.89  thf(sP502,plain,sP502 <=> (sP268 => (~(sP207))),introduced(definition,[new_symbols(definition,[sP502])])).
% 141.80/141.89  thf(sP503,plain,sP503 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((b @ eigen__1) @ X1) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP503])])).
% 141.80/141.89  thf(sP504,plain,sP504 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => sP38),introduced(definition,[new_symbols(definition,[sP504])])).
% 141.80/141.89  thf(sP505,plain,sP505 <=> ((~(sP188)) => (~(sP335))),introduced(definition,[new_symbols(definition,[sP505])])).
% 141.80/141.89  thf(sP506,plain,sP506 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP452)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP506])])).
% 141.80/141.89  thf(sP507,plain,sP507 <=> ((~(sP263)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP507])])).
% 141.80/141.89  thf(sP508,plain,sP508 <=> ((~(sP54)) => (~(sP434))),introduced(definition,[new_symbols(definition,[sP508])])).
% 141.80/141.89  thf(sP509,plain,sP509 <=> (sP80 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP509])])).
% 141.80/141.89  thf(sP510,plain,sP510 <=> ((~(sP493)) => (~(sP252))),introduced(definition,[new_symbols(definition,[sP510])])).
% 141.80/141.89  thf(sP511,plain,sP511 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP511])])).
% 141.80/141.89  thf(sP512,plain,sP512 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP512])])).
% 141.80/141.89  thf(sP513,plain,sP513 <=> ((~(sP493)) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP513])])).
% 141.80/141.89  thf(sP514,plain,sP514 <=> (![X1:$i]:((~((sP247 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP514])])).
% 141.80/141.89  thf(sP515,plain,sP515 <=> (![X1:$i]:((~((sP149 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP515])])).
% 141.80/141.89  thf(sP516,plain,sP516 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP46),introduced(definition,[new_symbols(definition,[sP516])])).
% 141.80/141.89  thf(sP517,plain,sP517 <=> ((~((sP56 => (~(sP117))))) => (~(sP182))),introduced(definition,[new_symbols(definition,[sP517])])).
% 141.80/141.89  thf(sP518,plain,sP518 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:((~(((~(((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))) => (~(((b @ X4) @ X5))))))))),introduced(definition,[new_symbols(definition,[sP518])])).
% 141.80/141.89  thf(sP519,plain,sP519 <=> ((~(sP336)) => sP404),introduced(definition,[new_symbols(definition,[sP519])])).
% 141.80/141.89  thf(sP520,plain,sP520 <=> ((~(sP98)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP520])])).
% 141.80/141.89  thf(sP521,plain,sP521 <=> ((~(sP343)) => (~(sP199))),introduced(definition,[new_symbols(definition,[sP521])])).
% 141.80/141.89  thf(sP522,plain,sP522 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => sP4),introduced(definition,[new_symbols(definition,[sP522])])).
% 141.80/141.89  thf(sP523,plain,sP523 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP523])])).
% 141.80/141.89  thf(sP524,plain,sP524 <=> (![X1:$i]:((~(sP388)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP524])])).
% 141.80/141.89  thf(sP525,plain,sP525 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP493)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP525])])).
% 141.80/141.89  thf(sP526,plain,sP526 <=> ((~(((~(sP324)) => (~(sP219))))) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP526])])).
% 141.80/141.89  thf(sP527,plain,sP527 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP527])])).
% 141.80/141.89  thf(sP528,plain,sP528 <=> (sP143 => sP178),introduced(definition,[new_symbols(definition,[sP528])])).
% 141.80/141.89  thf(sP529,plain,sP529 <=> (sP412 => (~(sP390))),introduced(definition,[new_symbols(definition,[sP529])])).
% 141.80/141.89  thf(sP530,plain,sP530 <=> (![X1:$i]:((~(((~(sP51)) => (~(sP265))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP530])])).
% 141.80/141.89  thf(sP531,plain,sP531 <=> ((~(sP408)) => (~(sP199))),introduced(definition,[new_symbols(definition,[sP531])])).
% 141.80/141.89  thf(sP532,plain,sP532 <=> ((~(sP2)) => sP182),introduced(definition,[new_symbols(definition,[sP532])])).
% 141.80/141.89  thf(sP533,plain,sP533 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP191)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP533])])).
% 141.80/141.89  thf(sP534,plain,sP534 <=> ((~(sP216)) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP534])])).
% 141.80/141.89  thf(sP535,plain,sP535 <=> ((~(((~(sP214)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP390))),introduced(definition,[new_symbols(definition,[sP535])])).
% 141.80/141.89  thf(sP536,plain,sP536 <=> ((~(sP63)) => (~(sP56))),introduced(definition,[new_symbols(definition,[sP536])])).
% 141.80/141.89  thf(sP537,plain,sP537 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP537])])).
% 141.80/141.89  thf(sP538,plain,sP538 <=> (![X1:$i]:((~((sP417 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP538])])).
% 141.80/141.89  thf(sP539,plain,sP539 <=> ((~(sP51)) => (~(sP265))),introduced(definition,[new_symbols(definition,[sP539])])).
% 141.80/141.89  thf(sP540,plain,sP540 <=> (![X1:$i]:((~(sP160)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP540])])).
% 141.80/141.89  thf(sP541,plain,sP541 <=> (sP219 => (~(sP129))),introduced(definition,[new_symbols(definition,[sP541])])).
% 141.80/141.89  thf(sP542,plain,sP542 <=> (![X1:$i]:((~(sP232)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP542])])).
% 141.80/141.89  thf(sP543,plain,sP543 <=> ((~(sP406)) => (~(sP112))),introduced(definition,[new_symbols(definition,[sP543])])).
% 141.80/141.89  thf(sP544,plain,sP544 <=> ((~(sP451)) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP544])])).
% 141.80/141.89  thf(sP545,plain,sP545 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)))) => sP20),introduced(definition,[new_symbols(definition,[sP545])])).
% 141.80/141.89  thf(sP546,plain,sP546 <=> ((~(sP534)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP546])])).
% 141.80/141.89  thf(sP547,plain,sP547 <=> ((~(sP127)) => (~(sP390))),introduced(definition,[new_symbols(definition,[sP547])])).
% 141.80/141.89  thf(sP548,plain,sP548 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP548])])).
% 141.80/141.89  thf(sP549,plain,sP549 <=> ((~(sP440)) => (~(sP268))),introduced(definition,[new_symbols(definition,[sP549])])).
% 141.80/141.89  thf(sP550,plain,sP550 <=> (sP404 => (~(sP199))),introduced(definition,[new_symbols(definition,[sP550])])).
% 141.80/141.89  thf(sP551,plain,sP551 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP193)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP551])])).
% 141.80/141.89  thf(sP552,plain,sP552 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP552])])).
% 141.80/141.89  thf(sP553,plain,sP553 <=> (![X1:$i]:((~((sP304 => (~(((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,[sP553])])).
% 141.80/141.90  thf(sP554,plain,sP554 <=> (![X1:$i]:((~(((~(sP193)) => (~(sP265))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP554])])).
% 141.80/141.90  thf(sP555,plain,sP555 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP555])])).
% 141.80/141.90  thf(sP556,plain,sP556 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP150 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP556])])).
% 141.80/141.90  thf(sP557,plain,sP557 <=> ((~(sP19)) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP557])])).
% 141.80/141.90  thf(sP558,plain,sP558 <=> ((~(sP529)) => (~(sP249))),introduced(definition,[new_symbols(definition,[sP558])])).
% 141.80/141.90  thf(sP559,plain,sP559 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP63)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP559])])).
% 141.80/141.90  thf(sP560,plain,sP560 <=> ((~(sP193)) => (~(sP265))),introduced(definition,[new_symbols(definition,[sP560])])).
% 141.80/141.90  thf(sP561,plain,sP561 <=> (![X1:$i]:((~(sP513)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP561])])).
% 141.80/141.90  thf(sP562,plain,sP562 <=> (sP56 => (~(sP117))),introduced(definition,[new_symbols(definition,[sP562])])).
% 141.80/141.90  thf(sP563,plain,sP563 <=> ((~(sP534)) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP563])])).
% 141.80/141.90  thf(sP564,plain,sP564 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP564])])).
% 141.80/141.90  thf(sP565,plain,sP565 <=> (sP438 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP565])])).
% 141.80/141.90  thf(sP566,plain,sP566 <=> ((~(sP246)) => (~(sP463))),introduced(definition,[new_symbols(definition,[sP566])])).
% 141.80/141.90  thf(sP567,plain,sP567 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)) => sP405),introduced(definition,[new_symbols(definition,[sP567])])).
% 141.80/141.90  thf(sP568,plain,sP568 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP419)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP568])])).
% 141.80/141.90  thf(sP569,plain,sP569 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP569])])).
% 141.80/141.90  thf(sP570,plain,sP570 <=> ((~(sP372)) => (~(sP268))),introduced(definition,[new_symbols(definition,[sP570])])).
% 141.80/141.90  thf(sP571,plain,sP571 <=> (![X1:$i]:((~(sP110)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP571])])).
% 141.80/141.90  thf(sP572,plain,sP572 <=> ((~(sP490)) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP572])])).
% 141.80/141.90  thf(sP573,plain,sP573 <=> (sP393 => (~(sP411))),introduced(definition,[new_symbols(definition,[sP573])])).
% 141.80/141.90  thf(sP574,plain,sP574 <=> ((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,[sP574])])).
% 141.80/141.90  thf(sP575,plain,sP575 <=> ((~(sP346)) => (~(sP7))),introduced(definition,[new_symbols(definition,[sP575])])).
% 141.80/141.90  thf(sP576,plain,sP576 <=> ((~(sP222)) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP576])])).
% 141.80/141.90  thf(sP577,plain,sP577 <=> ((~(sP214)) => (~(sP552))),introduced(definition,[new_symbols(definition,[sP577])])).
% 141.80/141.90  thf(sP578,plain,sP578 <=> ((~(sP398)) => sP569),introduced(definition,[new_symbols(definition,[sP578])])).
% 141.80/141.90  thf(sP579,plain,sP579 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP458)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP579])])).
% 141.80/141.90  thf(sP580,plain,sP580 <=> ((~(sP100)) => (~(sP140))),introduced(definition,[new_symbols(definition,[sP580])])).
% 141.80/141.90  thf(sP581,plain,sP581 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP344),introduced(definition,[new_symbols(definition,[sP581])])).
% 141.80/141.90  thf(sP582,plain,sP582 <=> ((~(sP360)) => (~(sP463))),introduced(definition,[new_symbols(definition,[sP582])])).
% 141.80/141.90  thf(sP583,plain,sP583 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP583])])).
% 141.80/141.90  thf(sP584,plain,sP584 <=> ((~(sP381)) => (~(sP257))),introduced(definition,[new_symbols(definition,[sP584])])).
% 141.80/141.90  thf(sP585,plain,sP585 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))),introduced(definition,[new_symbols(definition,[sP585])])).
% 141.80/141.90  thf(sP586,plain,sP586 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP586])])).
% 141.80/141.90  thf(sP587,plain,sP587 <=> ((~(sP36)) => sP150),introduced(definition,[new_symbols(definition,[sP587])])).
% 141.80/141.90  thf(sP588,plain,sP588 <=> ((~(sP235)) => (~(sP165))),introduced(definition,[new_symbols(definition,[sP588])])).
% 141.80/141.90  thf(sP589,plain,sP589 <=> ((~(sP395)) => (~(sP80))),introduced(definition,[new_symbols(definition,[sP589])])).
% 141.80/141.90  thf(sP590,plain,sP590 <=> (![X1:$i]:((~(sP57)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP590])])).
% 141.80/141.90  thf(sP591,plain,sP591 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP591])])).
% 141.80/141.90  thf(sP592,plain,sP592 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP592])])).
% 141.80/141.90  thf(sP593,plain,sP593 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP151)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP593])])).
% 141.80/141.90  thf(sP594,plain,sP594 <=> ((~(sP242)) => sP199),introduced(definition,[new_symbols(definition,[sP594])])).
% 141.80/141.90  thf(sP595,plain,sP595 <=> (sP84 => sP32),introduced(definition,[new_symbols(definition,[sP595])])).
% 141.80/141.90  thf(sP596,plain,sP596 <=> (sP397 => (~(sP149))),introduced(definition,[new_symbols(definition,[sP596])])).
% 141.80/141.90  thf(sP597,plain,sP597 <=> ((~(sP324)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP597])])).
% 141.80/141.90  thf(sP598,plain,sP598 <=> (sP150 => (~(sP112))),introduced(definition,[new_symbols(definition,[sP598])])).
% 141.80/141.90  thf(sP599,plain,sP599 <=> ((~(sP198)) => sP397),introduced(definition,[new_symbols(definition,[sP599])])).
% 141.80/141.90  thf(sP600,plain,sP600 <=> (![X1:$i]:((~((sP397 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP600])])).
% 141.80/141.90  thf(sP601,plain,sP601 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = X1) => (X1 = (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP601])])).
% 141.80/141.90  thf(sP602,plain,sP602 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP602])])).
% 141.80/141.90  thf(sP603,plain,sP603 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP603])])).
% 141.80/141.90  thf(sP604,plain,sP604 <=> ((~(sP119)) => (~(sP129))),introduced(definition,[new_symbols(definition,[sP604])])).
% 141.80/141.90  thf(sP605,plain,sP605 <=> ((~(sP135)) => (~(sP396))),introduced(definition,[new_symbols(definition,[sP605])])).
% 141.80/141.90  thf(sP606,plain,sP606 <=> (sP265 => (~(sP117))),introduced(definition,[new_symbols(definition,[sP606])])).
% 141.80/141.90  thf(sP607,plain,sP607 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$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 @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP607])])).
% 141.80/141.90  thf(sP608,plain,sP608 <=> ((~(sP481)) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP608])])).
% 141.80/141.90  thf(sP609,plain,sP609 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP609])])).
% 141.80/141.90  thf(sP610,plain,sP610 <=> (sP527 => sP602),introduced(definition,[new_symbols(definition,[sP610])])).
% 141.80/141.90  thf(sP611,plain,sP611 <=> (sP404 => (~(sP344))),introduced(definition,[new_symbols(definition,[sP611])])).
% 141.80/141.90  thf(sP612,plain,sP612 <=> ((~(sP5)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP612])])).
% 141.80/141.90  thf(sP613,plain,sP613 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((sP390 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP613])])).
% 141.80/141.90  thf(sP614,plain,sP614 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP588)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP614])])).
% 141.80/141.90  thf(sP615,plain,sP615 <=> ((~(sP14)) => (~(sP592))),introduced(definition,[new_symbols(definition,[sP615])])).
% 141.80/141.90  thf(sP616,plain,sP616 <=> ((~(sP445)) => (~(sP239))),introduced(definition,[new_symbols(definition,[sP616])])).
% 141.80/141.90  thf(sP617,plain,sP617 <=> ((~(sP184)) => (~(sP374))),introduced(definition,[new_symbols(definition,[sP617])])).
% 141.80/141.90  thf(sP618,plain,sP618 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP380),introduced(definition,[new_symbols(definition,[sP618])])).
% 141.80/141.90  thf(sP619,plain,sP619 <=> (sP178 => sP223),introduced(definition,[new_symbols(definition,[sP619])])).
% 141.80/141.90  thf(sP620,plain,sP620 <=> ((~(sP339)) => (~(sP384))),introduced(definition,[new_symbols(definition,[sP620])])).
% 141.80/141.90  thf(sP621,plain,sP621 <=> ((~(sP71)) => (~(sP325))),introduced(definition,[new_symbols(definition,[sP621])])).
% 141.80/141.90  thf(sP622,plain,sP622 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP622])])).
% 141.80/141.90  thf(sP623,plain,sP623 <=> (sP198 => sP410),introduced(definition,[new_symbols(definition,[sP623])])).
% 141.80/141.90  thf(sP624,plain,sP624 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP624])])).
% 141.80/141.90  thf(sP625,plain,sP625 <=> ((~(sP232)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP625])])).
% 141.80/141.90  thf(sP626,plain,sP626 <=> ((~(sP469)) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP626])])).
% 141.80/141.90  thf(sP627,plain,sP627 <=> ((~(sP316)) => sP438),introduced(definition,[new_symbols(definition,[sP627])])).
% 141.80/141.90  thf(sP628,plain,sP628 <=> (![X1:$i]:((~(sP508)) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP628])])).
% 141.80/141.90  thf(sP629,plain,sP629 <=> (sP165 => (~(sP80))),introduced(definition,[new_symbols(definition,[sP629])])).
% 141.80/141.90  thf(sP630,plain,sP630 <=> ((~(sP489)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP630])])).
% 141.80/141.90  thf(sP631,plain,sP631 <=> ((~(sP536)) => (~(sP358))),introduced(definition,[new_symbols(definition,[sP631])])).
% 141.80/141.90  thf(sP632,plain,sP632 <=> ((~(sP26)) => (~(sP591))),introduced(definition,[new_symbols(definition,[sP632])])).
% 141.80/141.90  thf(sP633,plain,sP633 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP633])])).
% 141.80/141.90  thf(sP634,plain,sP634 <=> (sP39 => (~(sP78))),introduced(definition,[new_symbols(definition,[sP634])])).
% 141.80/141.90  thf(sP635,plain,sP635 <=> ((~(sP416)) => (~(sP150))),introduced(definition,[new_symbols(definition,[sP635])])).
% 141.80/141.90  thf(sP636,plain,sP636 <=> ((~(sP160)) => (~(sP390))),introduced(definition,[new_symbols(definition,[sP636])])).
% 141.80/141.90  thf(sP637,plain,sP637 <=> ((~(sP486)) => sP564),introduced(definition,[new_symbols(definition,[sP637])])).
% 141.80/141.90  thf(sP638,plain,sP638 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP638])])).
% 141.80/141.90  thf(sP639,plain,sP639 <=> ((~(sP352)) => (~(sP592))),introduced(definition,[new_symbols(definition,[sP639])])).
% 141.80/141.90  thf(sP640,plain,sP640 <=> ((~(sP319)) => (~(sP417))),introduced(definition,[new_symbols(definition,[sP640])])).
% 141.80/141.90  thf(sP641,plain,sP641 <=> ((~(sP468)) => sP207),introduced(definition,[new_symbols(definition,[sP641])])).
% 141.80/141.90  thf(sP642,plain,sP642 <=> ((~(sP317)) => (~(sP7))),introduced(definition,[new_symbols(definition,[sP642])])).
% 141.80/141.90  thf(sP643,plain,sP643 <=> ((~(sP16)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP643])])).
% 141.80/141.90  thf(sP644,plain,sP644 <=> (![X1:$i]:(![X2:$i]:((~(((~(sP54)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP644])])).
% 141.80/141.90  thf(sP645,plain,sP645 <=> ((~(sP84)) => sP574),introduced(definition,[new_symbols(definition,[sP645])])).
% 141.80/141.90  thf(sP646,plain,sP646 <=> (![X1:$i]:((~((sP592 => (~(((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,[sP646])])).
% 141.80/141.90  thf(sP647,plain,sP647 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP647])])).
% 141.80/141.90  thf(sP648,plain,sP648 <=> ((~(sP288)) => sP552),introduced(definition,[new_symbols(definition,[sP648])])).
% 141.80/141.90  thf(sP649,plain,sP649 <=> (sP309 => sP223),introduced(definition,[new_symbols(definition,[sP649])])).
% 141.80/141.90  thf(sP650,plain,sP650 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP650])])).
% 141.80/141.90  thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))).
% 141.80/141.90  thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))).
% 141.80/141.90  thf(h0,assumption,(~((sP1 => (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))),introduced(assumption,[])).
% 141.80/141.90  thf(h1,assumption,sP1,introduced(assumption,[])).
% 141.80/141.90  thf(h2,assumption,(~((![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))))),introduced(assumption,[])).
% 141.80/141.90  thf(h3,assumption,sP280,introduced(assumption,[])).
% 141.80/141.90  thf(1,plain,((~(sP363) | ~(sP268)) | ~(sP397)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(2,plain,((~(sP340) | ~(sP592)) | ~(sP304)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(3,plain,((~(sP271) | ~(sP500)) | ~(sP18)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(4,plain,((~(sP86) | ~(sP7)) | ~(sP347)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(5,plain,((~(sP35) | sP645) | sP249),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(6,plain,((~(sP645) | sP84) | sP574),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(7,plain,((~(sP369) | sP139) | sP252),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(8,plain,((~(sP139) | sP309) | sP647),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(9,plain,((~(sP543) | sP406) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(10,plain,(~(sP175) | sP159),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(11,plain,((~(sP159) | sP414) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(12,plain,(~(sP386) | sP526),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(13,plain,((~(sP526) | sP597) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(14,plain,(~(sP349) | sP92),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(15,plain,((~(sP92) | sP391) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(16,plain,((~(sP636) | sP160) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(17,plain,(~(sP307) | sP83),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(18,plain,((~(sP83) | sP328) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(19,plain,(~(sP68) | sP547),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(20,plain,((~(sP547) | sP127) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(21,plain,(~(sP430) | sP170),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(22,plain,((~(sP170) | sP206) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(23,plain,(~(sP17) | sP430),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(24,plain,((~(sP206) | sP324) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(25,plain,(~(sP17) | sP386),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(26,plain,((~(sP597) | sP324) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(27,plain,((~(sP324) | sP356) | ~(sP252)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(28,plain,((~(sP356) | ~(sP412)) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(29,plain,(~(sP234) | sP118),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(30,plain,(~(sP118) | sP240),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(31,plain,((~(sP240) | sP248) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(32,plain,((~(sP248) | sP616) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(33,plain,((~(sP616) | sP445) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(34,plain,((~(sP445) | ~(sP412)) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(35,plain,(~(sP579) | sP349),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(36,plain,((~(sP391) | sP458) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(37,plain,((~(sP458) | sP444) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(38,plain,((~(sP444) | ~(sP412)) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(39,plain,(~(sP407) | sP68),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(40,plain,((~(sP127) | sP558) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(41,plain,((~(sP558) | sP529) | ~(sP249)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(42,plain,((~(sP529) | ~(sP412)) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(43,plain,(~(sP443) | sP350),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(44,plain,((~(sP350) | sP563) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(45,plain,(~(sP272) | sP443),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(46,plain,((~(sP563) | sP534) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(47,plain,(~(sP272) | sP49),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(48,plain,(~(sP49) | sP130),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(49,plain,((~(sP130) | sP546) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(50,plain,((~(sP546) | sP534) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(51,plain,((~(sP534) | sP216) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(52,plain,((~(sP216) | ~(sP112)) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(53,plain,(~(sP287) | sP307),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(54,plain,((~(sP328) | sP461) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(55,plain,((~(sP461) | sP237) | ~(sP564)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(56,plain,((~(sP237) | ~(sP112)) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(57,plain,(~(sP323) | sP175),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(58,plain,((~(sP414) | sP281) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(59,plain,((~(sP281) | sP598) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(60,plain,((~(sP598) | ~(sP150)) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(61,plain,(~(sP327) | sP101),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(62,plain,((~(sP101) | sP90) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(63,plain,(~(sP554) | sP183),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(64,plain,((~(sP183) | sP560) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(65,plain,(~(sP551) | sP554),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(66,plain,((~(sP560) | sP193) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(67,plain,(~(sP551) | sP327),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(68,plain,((~(sP90) | sP193) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(69,plain,(~(sP551) | sP69),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(70,plain,(~(sP69) | sP617),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(71,plain,((~(sP617) | sP184) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(72,plain,((~(sP184) | sP193) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(73,plain,((~(sP193) | sP58) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(74,plain,((~(sP58) | ~(sP150)) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(75,plain,(~(sP244) | sP300),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(76,plain,((~(sP300) | sP89) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(77,plain,(~(sP614) | sP244),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(78,plain,((~(sP89) | sP588) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(79,plain,((~(sP588) | sP235) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(80,plain,((~(sP235) | ~(sP390)) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(81,plain,(~(sP540) | sP636),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(82,plain,(~(sP148) | sP42),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(83,plain,((~(sP42) | sP303) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(84,plain,((~(sP303) | ~(sP574)) | ~(sP647)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(85,plain,((~(sP286) | sP238) | ~(sP417)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(86,plain,((~(sP238) | ~(sP569)) | ~(sP411)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(87,plain,((~(sP502) | ~(sP268)) | ~(sP207)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(88,plain,((~(sP158) | ~(sP268)) | ~(sP417)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(89,plain,((~(sP352) | ~(sP207)) | ~(sP268)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(90,plain,((~(sP317) | ~(sP149)) | ~(sP268)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(91,plain,(((~(sP142) | sP32) | ~(sP410)) | ~(sP142)),inference(confrontation_rule,[status(thm)],[])).
% 141.80/141.90  thf(92,plain,(~(sP331) | sP543),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(93,plain,((~(sP21) | sP236) | sP347),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(94,plain,((~(sP345) | sP10) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(95,plain,((~(sP457) | sP627) | sP308),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(96,plain,((~(sP627) | sP316) | sP438),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(97,plain,((~(sP315) | sP9) | ~(sP622)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(98,plain,((~(sP9) | ~(sP46)) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(99,plain,((~(sP296) | sP294) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(100,plain,((~(sP174) | sP153) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(101,plain,((~(sP153) | sP314) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(102,plain,((~(sP10) | sP51) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(103,plain,((~(sP406) | sP6) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(104,plain,(~(sP590) | sP111),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(105,plain,((~(sP111) | sP57) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(106,plain,((~(sP57) | sP63) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(107,plain,((~(sP160) | sP151) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(108,plain,((~(sP429) | ~(sP268)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(109,plain,((~(sP466) | sP172) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(110,plain,((~(sP172) | ~(sP569)) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(111,plain,((~(sP211) | sP596) | ~(sP622)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(112,plain,((~(sP596) | ~(sP397)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(113,plain,((~(sP126) | sP296) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(114,plain,((~(sP310) | sP67) | ~(sP344)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(115,plain,((~(sP67) | ~(sP396)) | ~(sP569)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(116,plain,(~(sP403) | sP124),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(117,plain,((~(sP124) | sP565) | ~(sP247)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(118,plain,((~(sP565) | ~(sP438)) | ~(sP574)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(119,plain,((~(sP301) | ~(sP592)) | ~(sP256)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(120,plain,((~(sP222) | ~(sP207)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(121,plain,((~(sP135) | ~(sP592)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(122,plain,((~(sP608) | sP481) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(123,plain,((~(sP481) | ~(sP393)) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(124,plain,((~(sP209) | sP465) | ~(sP622)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(125,plain,((~(sP465) | ~(sP304)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(126,plain,(~(sP215) | sP156),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(127,plain,((~(sP156) | sP586) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(128,plain,((~(sP586) | ~(sP647)) | ~(sP622)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(129,plain,((~(sP464) | sP573) | ~(sP20)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(130,plain,((~(sP573) | ~(sP393)) | ~(sP411)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(131,plain,((~(sP218) | ~(sP7)) | ~(sP404)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(132,plain,((~(sP441) | sP23) | ~(sP404)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(133,plain,((~(sP23) | ~(sP396)) | ~(sP393)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(134,plain,((~(sP185) | ~(sP500)) | ~(sP591)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(135,plain,(~(sP403) | sP632),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(136,plain,((~(sP632) | sP26) | ~(sP591)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(137,plain,((~(sP26) | ~(sP438)) | ~(sP647)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(138,plain,((~(sP246) | ~(sP417)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(139,plain,((~(sP48) | sP277) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(140,plain,((~(sP277) | ~(sP411)) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(141,plain,((~(sP155) | sP267) | ~(sP622)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(142,plain,((~(sP267) | ~(sP18)) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(143,plain,((~(sP408) | ~(sP149)) | ~(sP417)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(144,plain,((~(sP494) | ~(sP7)) | ~(sP199)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(145,plain,(~(sP220) | sP521),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(146,plain,((~(sP521) | sP343) | ~(sP199)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(147,plain,((~(sP343) | ~(sP622)) | ~(sP438)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(148,plain,((~(sP426) | ~(sP357)) | sP316),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(149,plain,(~(sP601) | sP426),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(150,plain,((~(sP200) | sP357) | sP18),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(151,plain,((~(sP484) | sP508) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(152,plain,(~(sP25) | sP584),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(153,plain,((~(sP584) | sP381) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(154,plain,((~(sP478) | sP229) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(155,plain,(~(sP293) | sP520),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(156,plain,((~(sP520) | sP98) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(157,plain,(~(sP3) | sP137),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(158,plain,((~(sP137) | sP557) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(159,plain,(~(sP561) | sP225),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(160,plain,((~(sP225) | sP513) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(161,plain,(~(sP379) | sP474),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(162,plain,((~(sP474) | sP217) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(163,plain,((~(sP353) | sP72) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(164,plain,((~(sP2) | sP143) | sP304),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(165,plain,((~(sP326) | ~(sP199)) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(166,plain,((~(sP346) | ~(sP463)) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(167,plain,((~(sP14) | ~(sP404)) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(168,plain,((~(sP285) | sP41) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(169,plain,((~(sP625) | sP232) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(170,plain,((~(sP599) | sP198) | sP397),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(171,plain,(((~(sP638) | sP468) | ~(sP511)) | ~(sP142)),inference(confrontation_rule,[status(thm)],[])).
% 141.80/141.90  thf(172,plain,(~(sP116) | sP369),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(173,plain,(~(sP116) | sP457),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(174,plain,(~(sP116) | sP35),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(175,plain,(~(sP435) | sP215),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(176,plain,(~(sP435) | sP220),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(177,plain,(~(sP435) | sP403),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(178,plain,(~(sP435) | sP148),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(179,plain,((~(sP290) | sP21) | sP117),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(180,plain,(~(sP154) | sP155),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(181,plain,((~(sP106) | sP200) | sP384),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(182,plain,(~(sP213) | sP487),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(183,plain,((~(sP487) | sP295) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(184,plain,(~(sP482) | sP213),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(185,plain,((~(sP295) | sP212) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(186,plain,((~(sP212) | sP169) | ~(sP117)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(187,plain,((~(sP169) | ~(sP434)) | ~(sP384)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(188,plain,(~(sP152) | sP125),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(189,plain,((~(sP125) | sP485) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(190,plain,(~(sP273) | sP152),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(191,plain,((~(sP485) | sP517) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(192,plain,((~(sP517) | sP562) | ~(sP182)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(193,plain,((~(sP562) | ~(sP56)) | ~(sP117)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(194,plain,(~(sP553) | sP209),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(195,plain,((~(sP532) | sP2) | sP182),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(196,plain,(~(sP422) | sP82),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(197,plain,((~(sP82) | sP196) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(198,plain,(~(sP88) | sP422),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(199,plain,((~(sP196) | sP620) | ~(sP252)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(200,plain,(~(sP88) | sP379),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(201,plain,((~(sP217) | sP620) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(202,plain,((~(sP620) | sP339) | ~(sP384)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(203,plain,((~(sP339) | ~(sP129)) | ~(sP182)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(204,plain,(~(sP525) | sP279),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(205,plain,(~(sP279) | sP197),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(206,plain,((~(sP197) | sP510) | ~(sP564)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(207,plain,((~(sP510) | sP493) | ~(sP252)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(208,plain,(~(sP525) | sP561),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(209,plain,((~(sP513) | sP493) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(210,plain,((~(sP493) | sP453) | ~(sP37)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(211,plain,((~(sP453) | ~(sP564)) | ~(sP182)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(212,plain,(~(sP289) | sP266),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(213,plain,(~(sP266) | sP643),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(214,plain,((~(sP643) | sP16) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(215,plain,((~(sP16) | sP19) | ~(sP308)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(216,plain,(~(sP289) | sP3),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(217,plain,((~(sP557) | sP19) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(218,plain,((~(sP19) | sP480) | ~(sP37)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(219,plain,((~(sP480) | ~(sP39)) | ~(sP384)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(220,plain,(~(sP251) | sP22),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(221,plain,(~(sP22) | sP322),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(222,plain,((~(sP322) | sP400) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(223,plain,((~(sP400) | sP145) | ~(sP239)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(224,plain,((~(sP145) | sP606) | ~(sP37)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(225,plain,((~(sP606) | ~(sP265)) | ~(sP117)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(226,plain,(~(sP600) | sP211),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(227,plain,((~(sP168) | sP599) | sP37),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(228,plain,((~(sP275) | sP363) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(229,plain,((~(sP436) | sP340) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(230,plain,((~(sP361) | sP271) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(231,plain,((~(sP40) | sP86) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(232,plain,(~(sP81) | sP17),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(233,plain,(~(sP81) | sP234),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(234,plain,(~(sP81) | sP579),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(235,plain,(~(sP81) | sP407),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(236,plain,(~(sP479) | sP315),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(237,plain,(~(sP250) | sP608),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(238,plain,(~(sP250) | sP464),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(239,plain,(~(sP418) | sP441),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(240,plain,(~(sP418) | sP310),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(241,plain,(~(sP378) | sP48),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(242,plain,(~(sP492) | sP466),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(243,plain,(~(sP492) | sP286),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(244,plain,(~(sP497) | sP272),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(245,plain,(~(sP497) | sP287),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(246,plain,(~(sP556) | sP323),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(247,plain,(~(sP556) | sP551),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(248,plain,(~(sP613) | sP614),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(249,plain,((~(sP362) | sP218) | ~(sP393)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(250,plain,((~(sP385) | sP494) | ~(sP411)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(251,plain,(~(sP134) | sP293),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(252,plain,((~(sP98) | sP274) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(253,plain,((~(sP274) | sP108) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(254,plain,((~(sP108) | ~(sP257)) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(255,plain,(~(sP524) | sP373),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(256,plain,((~(sP373) | sP388) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(257,plain,(~(sP141) | sP524),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(258,plain,((~(sP388) | sP264) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(259,plain,((~(sP264) | sP97) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(260,plain,((~(sP97) | ~(sP257)) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(261,plain,(~(sP73) | sP298),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(262,plain,((~(sP298) | sP499) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(263,plain,(~(sP367) | sP73),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(264,plain,((~(sP499) | sP428) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(265,plain,((~(sP428) | sP121) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(266,plain,((~(sP121) | ~(sP78)) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(267,plain,(~(sP593) | sP540),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(268,plain,((~(sP151) | sP270) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(269,plain,((~(sP270) | ~(sP78)) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(270,plain,((~(sP330) | sP185) | ~(sP393)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(271,plain,(~(sP542) | sP625),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(272,plain,(~(sP420) | sP478),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(273,plain,(~(sP559) | sP590),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(274,plain,(~(sP320) | sP631),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(275,plain,((~(sP631) | sP536) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(276,plain,(~(sP559) | sP320),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(277,plain,((~(sP536) | sP63) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(278,plain,((~(sP63) | sP167) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(279,plain,((~(sP167) | ~(sP219)) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(280,plain,(~(sP138) | sP31),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(281,plain,((~(sP31) | sP423) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(282,plain,(~(sP501) | sP138),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(283,plain,((~(sP423) | sP333) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(284,plain,((~(sP333) | sP541) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(285,plain,((~(sP541) | ~(sP219)) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(286,plain,((~(sP605) | sP135) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(287,plain,((~(sP402) | sP301) | ~(sP569)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(288,plain,((~(sP442) | sP555) | sP7),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(289,plain,((~(sP85) | ~(sP4)) | ~(sP592)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(290,plain,((~(sP401) | ~(sP256)) | ~(sP592)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(291,plain,((~(sP372) | ~(sP247)) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(292,plain,((~(sP440) | ~(sP344)) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(293,plain,(~(sP189) | sP507),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(294,plain,((~(sP507) | sP263) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(295,plain,((~(sP53) | sP535) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(296,plain,((~(sP61) | sP269) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(297,plain,((~(sP192) | sP516) | sP412),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(298,plain,((~(sP516) | sP650) | sP46),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(299,plain,((~(sP255) | sP578) | sP390),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(300,plain,((~(sP578) | sP398) | sP569),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(301,plain,((~(sP587) | sP36) | sP150),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(302,plain,((~(sP36) | sP223) | sP411),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(303,plain,((~(sP649) | ~(sP309)) | sP223),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(304,plain,((~(sP120) | sP392) | sP112),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(305,plain,((~(sP392) | sP32) | sP393),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(306,plain,((~(sP595) | ~(sP84)) | sP32),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(307,plain,(~(sP195) | sP94),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(308,plain,((~(sP94) | sP332) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(309,plain,((~(sP221) | sP334) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(310,plain,((~(sP431) | sP539) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(311,plain,(~(sP571) | sP337),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(312,plain,((~(sP337) | sP110) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(313,plain,(~(sP74) | sP589),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(314,plain,((~(sP589) | sP395) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(315,plain,((~(sP621) | sP71) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(316,plain,(~(sP164) | sP348),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(317,plain,((~(sP348) | sP471) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(318,plain,((~(sP263) | sP302) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(319,plain,((~(sP71) | sP45) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(320,plain,((~(sP334) | sP314) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(321,plain,((~(sP539) | sP51) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(322,plain,((~(sP110) | sP191) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(323,plain,((~(sP471) | sP368) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(324,plain,((~(sP395) | sP452) | ~(sP265)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(325,plain,((~(sP332) | sP6) | ~(sP564)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(326,plain,((~(sP535) | sP577) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(327,plain,((~(sP269) | sP66) | ~(sP390)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(328,plain,((~(sP319) | ~(sP344)) | ~(sP199)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(329,plain,((~(sP123) | ~(sP247)) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(330,plain,((~(sP103) | ~(sP256)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(331,plain,((~(sP262) | ~(sP4)) | ~(sP256)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(332,plain,((~(sP360) | ~(sP20)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(333,plain,((~(sP27) | ~(sP20)) | ~(sP256)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(334,plain,(~(sP283) | sP285),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(335,plain,(~(sP201) | sP61),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(336,plain,(~(sP11) | sP353),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(337,plain,(~(sP359) | sP53),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(338,plain,(~(sP62) | sP195),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(339,plain,(~(sP62) | sP331),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(340,plain,((~(sP6) | sP491) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(341,plain,((~(sP491) | ~(sP552)) | ~(sP165)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(342,plain,(~(sP506) | sP74),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(343,plain,(~(sP105) | sP505),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(344,plain,((~(sP505) | sP188) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(345,plain,(~(sP506) | sP105),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(346,plain,((~(sP188) | sP452) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(347,plain,((~(sP452) | sP8) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(348,plain,((~(sP8) | ~(sP552)) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(349,plain,(~(sP136) | sP164),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(350,plain,((~(sP368) | sP523) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(351,plain,((~(sP523) | ~(sP552)) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(352,plain,((~(sP208) | sP502) | ~(sP393)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(353,plain,((~(sP109) | sP429) | ~(sP396)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(354,plain,((~(sP34) | sP158) | ~(sP411)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(355,plain,((~(sP576) | sP222) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(356,plain,((~(sP639) | sP352) | ~(sP592)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(357,plain,((~(sP531) | sP408) | ~(sP199)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(358,plain,((~(sP642) | sP317) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(359,plain,((~(sP566) | sP246) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(360,plain,(~(sP278) | sP456),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(361,plain,((~(sP456) | sP459) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(362,plain,(~(sP47) | sP278),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(363,plain,((~(sP459) | sP133) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(364,plain,((~(sP133) | sP629) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(365,plain,((~(sP629) | ~(sP165)) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(366,plain,(~(sP342) | sP604),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(367,plain,((~(sP604) | sP119) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(368,plain,(~(sP413) | sP342),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(369,plain,((~(sP119) | sP450) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(370,plain,((~(sP450) | sP179) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(371,plain,((~(sP179) | ~(sP165)) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(372,plain,(~(sP33) | sP161),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(373,plain,((~(sP161) | sP635) | ~(sP335)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(374,plain,(~(sP231) | sP33),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(375,plain,((~(sP635) | sP416) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(376,plain,(~(sP231) | sP25),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(377,plain,((~(sP381) | sP416) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(378,plain,((~(sP416) | sP509) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(379,plain,((~(sP509) | ~(sP80)) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(380,plain,(~(sP533) | sP571),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(381,plain,((~(sP191) | sP473) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(382,plain,((~(sP473) | ~(sP325)) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(383,plain,(~(sP460) | sP55),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(384,plain,((~(sP55) | sP312) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(385,plain,(~(sP447) | sP460),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(386,plain,((~(sP312) | sP421) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(387,plain,((~(sP421) | sP433) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(388,plain,((~(sP433) | ~(sP325)) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(389,plain,(~(sP530) | sP431),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(390,plain,(~(sP365) | sP345),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(391,plain,(~(sP91) | sP221),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(392,plain,(~(sP205) | sP174),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(393,plain,(~(sP628) | sP484),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(394,plain,(~(sP230) | sP621),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(395,plain,(~(sP87) | sP126),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(396,plain,((~(sP619) | ~(sP178)) | sP223),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(397,plain,(~(sP601) | sP619),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(398,plain,((~(sP13) | sP178) | sP500),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(399,plain,(~(sP282) | sP630),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(400,plain,((~(sP630) | sP489) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(401,plain,((~(sP122) | sP410) | sP592),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(402,plain,((~(sP581) | sP609) | sP344),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(403,plain,((~(sP93) | ~(sP591)) | ~(sP247)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(404,plain,((~(sP611) | ~(sP404)) | ~(sP344)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(405,plain,((~(sP288) | sP380) | sP268),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(406,plain,sP511,inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(407,plain,((~(sP470) | sP38) | sP417),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(408,plain,((~(sP641) | sP468) | sP207),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(409,plain,((~(sP544) | sP451) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(410,plain,(~(sP394) | sP498),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(411,plain,((~(sP498) | sP132) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(412,plain,(~(sP432) | sP186),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(413,plain,((~(sP186) | sP44) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(414,plain,((~(sP451) | sP572) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(415,plain,((~(sP132) | sP314) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(416,plain,((~(sP41) | sP66) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(417,plain,((~(sP44) | sP626) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(418,plain,((~(sP232) | sP302) | ~(sP112)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(419,plain,((~(sP550) | ~(sP404)) | ~(sP199)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(420,plain,((~(sP194) | ~(sP591)) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(421,plain,((~(sP371) | ~(sP463)) | ~(sP591)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(422,plain,((~(sP504) | ~(sP624)) | sP38),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(423,plain,(~(sP601) | sP504),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(424,plain,((~(sP354) | sP624) | sP247),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(425,plain,((~(sP519) | sP336) | sP404),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(426,plain,((~(sP486) | sP638) | sP256),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(427,plain,((~(sP545) | sP602) | sP20),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(428,plain,sP142,inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(429,plain,((~(sP489) | sP259) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(430,plain,((~(sP72) | sP419) | ~(sP150)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(431,plain,((~(sP572) | sP490) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(432,plain,((~(sP490) | ~(sP335)) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(433,plain,((~(sP580) | sP100) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(434,plain,((~(sP100) | sP30) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(435,plain,((~(sP30) | sP341) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(436,plain,((~(sP341) | ~(sP56)) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(437,plain,((~(sP259) | sP166) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(438,plain,((~(sP166) | ~(sP129)) | ~(sP564)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(439,plain,((~(sP294) | sP351) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(440,plain,((~(sP351) | ~(sP129)) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(441,plain,((~(sP45) | sP15) | ~(sP140)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(442,plain,((~(sP15) | ~(sP358)) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(443,plain,((~(sP508) | sP54) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(444,plain,((~(sP54) | sP113) | ~(sP325)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(445,plain,((~(sP113) | ~(sP564)) | ~(sP129)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(446,plain,((~(sP314) | sP439) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(447,plain,((~(sP439) | ~(sP564)) | ~(sP358)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(448,plain,((~(sP51) | sP318) | ~(sP80)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(449,plain,((~(sP318) | ~(sP39)) | ~(sP434)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(450,plain,((~(sP577) | sP214) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(451,plain,((~(sP214) | ~(sP265)) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(452,plain,((~(sP419) | sP634) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(453,plain,((~(sP634) | ~(sP39)) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(454,plain,((~(sP66) | sP284) | ~(sP552)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(455,plain,((~(sP284) | ~(sP564)) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(456,plain,((~(sP626) | sP469) | ~(sP219)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(457,plain,((~(sP469) | ~(sP335)) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(458,plain,((~(sP229) | sP302) | ~(sP374)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(459,plain,((~(sP302) | sP425) | ~(sP257)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(460,plain,((~(sP425) | ~(sP434)) | ~(sP78)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(461,plain,((~(sP594) | sP242) | sP199),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(462,plain,((~(sP610) | ~(sP527)) | sP602),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(463,plain,(~(sP601) | sP610),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(464,plain,((~(sP321) | sP527) | sP591),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(465,plain,(~(sP329) | sP435),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(466,plain,(~(sP297) | sP290),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(467,plain,(~(sP258) | sP154),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(468,plain,(~(sP633) | sP106),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(469,plain,(~(sP28) | sP482),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(470,plain,(~(sP60) | sP273),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(471,plain,(~(sP583) | sP553),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(472,plain,(~(sP12) | sP532),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(473,plain,(~(sP261) | sP88),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(474,plain,(~(sP383) | sP525),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(475,plain,(~(sP370) | sP289),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(476,plain,(~(sP144) | sP251),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(477,plain,(~(sP537) | sP600),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(478,plain,(~(sP187) | sP168),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(479,plain,(~(sP496) | sP275),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(480,plain,(~(sP646) | sP436),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(481,plain,(~(sP146) | sP361),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(482,plain,(~(sP476) | sP40),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(483,plain,(~(sP607) | sP81),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(484,plain,(~(sP104) | sP479),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(485,plain,(~(sP585) | sP192),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(486,plain,((~(sP180) | ~(sP236)) | sP5),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(487,plain,(~(sP128) | sP180),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(488,plain,(~(sP603) | sP116),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(489,plain,(~(sP116) | sP311),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(490,plain,((~(sP311) | sP612) | sP239),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(491,plain,((~(sP612) | sP5) | sP622),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(492,plain,(~(sP377) | sP595),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(493,plain,(~(sP377) | sP649),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(494,plain,(~(sP585) | sP120),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(495,plain,(~(sP585) | sP587),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(496,plain,(~(sP585) | sP255),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(497,plain,(~(sP104) | sP250),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(498,plain,(~(sP104) | sP418),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(499,plain,(~(sP104) | sP378),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(500,plain,(~(sP104) | sP492),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(501,plain,(~(sP607) | sP497),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(502,plain,(~(sP607) | sP556),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(503,plain,(~(sP607) | sP613),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(504,plain,((~(sP355) | sP442) | sP257),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(505,plain,(~(sP476) | sP362),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(506,plain,(~(sP476) | sP385),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(507,plain,(~(sP77) | sP134),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(508,plain,(~(sP77) | sP141),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(509,plain,(~(sP313) | sP367),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(510,plain,(~(sP313) | sP593),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(511,plain,(~(sP146) | sP330),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(512,plain,((~(sP43) | sP13) | sP78),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(513,plain,((~(sP528) | ~(sP143)) | sP178),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(514,plain,((~(sP202) | sP326) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(515,plain,(~(sP254) | sP542),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(516,plain,(~(sP254) | sP420),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(517,plain,(~(sP254) | sP189),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(518,plain,((~(sP575) | sP346) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(519,plain,(~(sP291) | sP432),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(520,plain,((~(sP615) | sP14) | ~(sP592)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(521,plain,(~(sP305) | sP559),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(522,plain,(~(sP305) | sP501),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(523,plain,(~(sP646) | sP605),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(524,plain,(~(sP646) | sP402),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(525,plain,((~(sP292) | sP122) | sP219),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(526,plain,((~(sP623) | ~(sP198)) | sP410),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(527,plain,((~(sP260) | sP85) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(528,plain,((~(sP306) | sP401) | ~(sP268)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(529,plain,(~(sP449) | sP283),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(530,plain,(~(sP449) | sP201),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(531,plain,((~(sP570) | sP372) | ~(sP268)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(532,plain,(~(sP568) | sP11),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(533,plain,(~(sP424) | sP359),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(534,plain,((~(sP549) | sP440) | ~(sP268)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(535,plain,(~(sP415) | sP62),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(536,plain,(~(sP415) | sP506),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(537,plain,(~(sP415) | sP136),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(538,plain,(~(sP496) | sP208),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(539,plain,(~(sP496) | sP109),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(540,plain,(~(sP496) | sP34),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(541,plain,((~(sP648) | sP288) | sP552),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(542,plain,((~(sP618) | ~(sP650)) | sP380),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(543,plain,((~(sP376) | ~(sP398)) | sP468),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(544,plain,((~(sP483) | ~(sP32)) | sP38),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(545,plain,((~(sP163) | sP641) | sP165),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(546,plain,((~(sP366) | sP470) | sP325),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(547,plain,(~(sP462) | sP576),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(548,plain,(~(sP462) | sP639),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(549,plain,(~(sP515) | sP531),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(550,plain,(~(sP515) | sP642),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(551,plain,(~(sP538) | sP566),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(552,plain,(~(sP387) | sP47),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(553,plain,(~(sP387) | sP413),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(554,plain,(~(sP190) | sP231),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(555,plain,(~(sP115) | sP533),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(556,plain,(~(sP115) | sP447),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(557,plain,((~(sP640) | sP319) | ~(sP417)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(558,plain,(~(sP96) | sP530),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(559,plain,(~(sP96) | sP365),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(560,plain,((~(sP276) | sP123) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(561,plain,(~(sP455) | sP394),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(562,plain,(~(sP455) | sP91),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(563,plain,(~(sP455) | sP205),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(564,plain,(~(sP644) | sP628),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(565,plain,((~(sP114) | sP103) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(566,plain,((~(sP210) | sP262) | ~(sP344)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(567,plain,((~(sP582) | sP360) | ~(sP463)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(568,plain,((~(sP472) | sP27) | ~(sP247)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(569,plain,(~(sP467) | sP230),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(570,plain,(~(sP52) | sP87),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(571,plain,(~(sP24) | sP282),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(572,plain,(~(sP364) | sP580),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(573,plain,(~(sP227) | sP544),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(574,plain,(~(sP280) | ~(sP5)),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(575,plain,(~(sP329) | sP104),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(576,plain,(~(sP518) | sP607),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(577,plain,(~(sP297) | sP355),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(578,plain,(~(sP107) | sP476),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(579,plain,(~(sP503) | sP77),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(580,plain,(~(sP171) | sP313),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(581,plain,(~(sP258) | sP146),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(582,plain,(~(sP633) | sP43),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(583,plain,(~(sP338) | sP528),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(584,plain,(~(sP241) | sP202),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(585,plain,(~(sP28) | sP254),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(586,plain,(~(sP495) | sP575),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(587,plain,(~(sP437) | sP291),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(588,plain,(~(sP76) | sP615),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(589,plain,(~(sP157) | sP305),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(590,plain,(~(sP583) | sP646),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(591,plain,(~(sP12) | sP292),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(592,plain,(~(sP162) | sP623),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(593,plain,(~(sP488) | sP260),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(594,plain,(~(sP95) | sP306),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(595,plain,(~(sP383) | sP449),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(596,plain,(~(sP514) | sP570),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(597,plain,(~(sP370) | sP568),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(598,plain,(~(sP144) | sP424),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(599,plain,(~(sP75) | sP549),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(600,plain,(~(sP299) | sP415),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(601,plain,(~(sP537) | sP496),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(602,plain,(~(sP187) | sP648),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(603,plain,(~(sP382) | sP618),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(604,plain,((~(sP399) | ~(sP555)) | sP59),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(605,plain,(~(sP128) | sP399),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(606,plain,(~(sP1) | sP377),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(607,plain,(~(sP377) | sP203),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(608,plain,((~(sP203) | ~(sP316)) | sP59),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(609,plain,(~(sP603) | sP585),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(610,plain,(~(sP585) | sP177),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(611,plain,((~(sP177) | sP427) | sP374),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(612,plain,((~(sP427) | sP59) | sP396),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(613,plain,(~(sP382) | sP376),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(614,plain,(~(sP382) | sP483),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(615,plain,(~(sP187) | sP163),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(616,plain,(~(sP187) | sP366),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(617,plain,(~(sP537) | sP462),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(618,plain,(~(sP537) | sP515),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(619,plain,(~(sP537) | sP538),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(620,plain,(~(sP299) | sP387),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(621,plain,(~(sP299) | sP190),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(622,plain,(~(sP299) | sP115),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(623,plain,((~(sP176) | sP581) | sP265),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(624,plain,(~(sP75) | sP640),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(625,plain,(~(sP370) | sP96),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(626,plain,(~(sP514) | sP276),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(627,plain,((~(sP226) | sP354) | sP39),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(628,plain,((~(sP70) | sP93) | ~(sP256)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(629,plain,((~(sP204) | sP611) | ~(sP256)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(630,plain,(~(sP383) | sP455),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(631,plain,(~(sP383) | sP644),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(632,plain,(~(sP95) | sP114),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(633,plain,((~(sP637) | sP486) | sP564),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(634,plain,((~(sP224) | ~(sP380)) | sP638),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(635,plain,((~(sP173) | ~(sP468)) | sP602),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(636,plain,((~(sP454) | sP545) | sP129),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(637,plain,(~(sP488) | sP210),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(638,plain,(~(sP245) | sP582),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(639,plain,(~(sP245) | sP472),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(640,plain,(~(sP389) | sP467),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(641,plain,(~(sP261) | sP52),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(642,plain,(~(sP261) | sP24),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(643,plain,((~(sP233) | sP550) | ~(sP20)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(644,plain,(~(sP65) | sP364),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(645,plain,(~(sP409) | sP227),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(646,plain,((~(sP99) | sP194) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(647,plain,((~(sP29) | sP371) | ~(sP404)),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(648,plain,(~(sP280) | ~(sP59)),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(649,plain,(~(sP329) | sP537),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(650,plain,(~(sP518) | sP299),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(651,plain,(~(sP297) | sP176),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(652,plain,(~(sP107) | sP75),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(653,plain,(~(sP503) | sP144),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(654,plain,(~(sP171) | sP370),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(655,plain,(~(sP258) | sP514),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(656,plain,(~(sP633) | sP226),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(657,plain,(~(sP147) | sP70),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(658,plain,(~(sP76) | sP204),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(659,plain,(~(sP157) | sP383),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(660,plain,(~(sP583) | sP95),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(661,plain,(~(sP12) | sP637),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(662,plain,(~(sP162) | sP224),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(663,plain,((~(sP243) | ~(sP609)) | sP512),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(664,plain,(~(sP128) | sP243),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(665,plain,(~(sP1) | sP382),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(666,plain,(~(sP382) | sP64),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(667,plain,((~(sP64) | ~(sP223)) | sP512),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(668,plain,(~(sP603) | sP187),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(669,plain,(~(sP187) | sP253),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(670,plain,((~(sP253) | sP448) | sP80),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(671,plain,((~(sP448) | sP512) | sP149),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(672,plain,(~(sP162) | sP173),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(673,plain,(~(sP12) | sP454),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(674,plain,(~(sP583) | sP488),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(675,plain,(~(sP583) | sP245),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(676,plain,(~(sP157) | sP389),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(677,plain,(~(sP157) | sP261),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(678,plain,((~(sP228) | sP519) | sP56),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(679,plain,(~(sP76) | sP233),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(680,plain,(~(sP60) | sP65),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(681,plain,(~(sP437) | sP409),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(682,plain,(~(sP147) | sP99),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(683,plain,((~(sP79) | sP321) | sP335),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(684,plain,(~(sP495) | sP29),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(685,plain,((~(sP477) | sP594) | sP140),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(686,plain,(~(sP280) | ~(sP512)),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(687,plain,(~(sP329) | sP583),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(688,plain,(~(sP518) | sP157),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(689,plain,(~(sP297) | sP228),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(690,plain,(~(sP107) | sP76),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(691,plain,(~(sP503) | sP60),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(692,plain,(~(sP171) | sP437),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(693,plain,(~(sP258) | sP147),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(694,plain,(~(sP633) | sP79),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(695,plain,((~(sP375) | ~(sP336)) | sP548),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(696,plain,(~(sP128) | sP375),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(697,plain,(~(sP1) | sP162),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(698,plain,(~(sP162) | sP50),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(699,plain,((~(sP50) | ~(sP38)) | sP548),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(700,plain,(~(sP603) | sP12),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(701,plain,(~(sP12) | sP131),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(702,plain,((~(sP131) | sP522) | sP358),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(703,plain,((~(sP522) | sP548) | sP4),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(704,plain,(~(sP258) | sP495),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(705,plain,(~(sP171) | sP28),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(706,plain,(~(sP107) | sP241),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(707,plain,(~(sP297) | sP477),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(708,plain,(~(sP280) | ~(sP548)),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(709,plain,(~(sP329) | sP258),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(710,plain,(~(sP518) | sP171),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(711,plain,((~(sP446) | ~(sP242)) | sP405),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(712,plain,(~(sP128) | sP446),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(713,plain,(~(sP181) | sP128),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(714,plain,(~(sP181) | sP601),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(715,plain,sP181,inference(eq_sym,[status(thm)],[])).
% 141.80/141.90  thf(716,plain,(~(sP1) | sP338),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(717,plain,(~(sP338) | sP567),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(718,plain,((~(sP567) | ~(sP602)) | sP405),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(719,plain,(~(sP603) | sP633),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(720,plain,(~(sP633) | sP475),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(721,plain,((~(sP475) | sP102) | sP434),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(722,plain,((~(sP102) | sP405) | sP463),inference(prop_rule,[status(thm)],[])).
% 141.80/141.90  thf(723,plain,(~(sP518) | sP503),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(724,plain,(~(sP329) | sP107),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(725,plain,(~(sP603) | sP297),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(726,plain,(~(sP280) | ~(sP405)),inference(all_rule,[status(thm)],[])).
% 141.80/141.90  thf(axb,axiom,sP518).
% 141.80/141.90  thf(axr,axiom,sP329).
% 141.80/141.90  thf(rb_cov,axiom,sP603).
% 141.80/141.90  thf(727,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,axb,axr,rb_cov,h1,h3])).
% 141.80/141.90  thf(728,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,727,h3])).
% 141.80/141.90  thf(729,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,728,h1,h2])).
% 141.80/141.90  thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))).
% 141.80/141.90  thf(730,plain,(~((![X1:$i>$i]:((![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3)))) => (![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2))))))))))),inference(preprocess,[status(thm)],[inf]).
% 141.80/141.90  thf(731,plain,$false,inference(tab_negall,[status(thm),tab_negall(discharge,[h0]),tab_negall(eigenvar,eigen__0)],[730,729,h0])).
% 141.80/141.90  % SZS output end Proof
%------------------------------------------------------------------------------