↑ Up

Satallax---3.5.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : GRA083^1 : 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 : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  9 01:32:38 PM UTC 2025

% Result   : Unsatisfiable 100.40s 97.84s
% Output   : Proof 100.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRA083^1 : TPTP v9.2.0. Released v9.0.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  8 15:42:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 100.40/97.84  % SZS status Unsatisfiable
% 100.40/97.84  % Mode: mode460
% 100.40/97.84  % Inferences: 34143
% 100.40/97.84  % SZS output start Proof
% 100.40/97.84  thf(ty_eigen__1, type, eigen__1 : $i).
% 100.40/97.84  thf(ty_b, type, b : ($i>$i>$o)).
% 100.40/97.84  thf(ty_eigen__0, type, eigen__0 : ($i>$i)).
% 100.40/97.84  thf(ty_r, type, r : ($i>$i>$o)).
% 100.40/97.84  thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP1])])).
% 100.40/97.84  thf(sP2,plain,sP2 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 100.40/97.84  thf(sP3,plain,sP3 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP3])])).
% 100.40/97.84  thf(sP4,plain,sP4 <=> (![X1:$i]:((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 100.40/97.84  thf(sP5,plain,sP5 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 100.40/97.84  thf(sP6,plain,sP6 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 100.40/97.84  thf(sP7,plain,sP7 <=> (![X1:$i]:((~(((~(((~((((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)))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP7])])).
% 100.40/97.84  thf(sP8,plain,sP8 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP8])])).
% 100.40/97.84  thf(sP9,plain,sP9 <=> ((~((((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__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 100.40/97.84  thf(sP10,plain,sP10 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 100.40/97.84  thf(sP11,plain,sP11 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 100.40/97.84  thf(sP12,plain,sP12 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP12])])).
% 100.40/97.84  thf(sP13,plain,sP13 <=> (![X1:$i]:((~(((~(((~((((r @ (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__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))))))))))) => (~(((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,[sP13])])).
% 100.40/97.84  thf(sP14,plain,sP14 <=> ((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,[sP14])])).
% 100.40/97.84  thf(sP15,plain,sP15 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP15])])).
% 100.40/97.84  thf(sP16,plain,sP16 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP16])])).
% 100.40/97.84  thf(sP17,plain,sP17 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP17])])).
% 100.40/97.84  thf(sP18,plain,sP18 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP18])])).
% 100.40/97.84  thf(sP19,plain,sP19 <=> (![X1:$i]:((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP19])])).
% 100.40/97.84  thf(sP20,plain,sP20 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP20])])).
% 100.40/97.84  thf(sP21,plain,sP21 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP21])])).
% 100.40/97.84  thf(sP22,plain,sP22 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP22])])).
% 100.40/97.84  thf(sP23,plain,sP23 <=> ((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ 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,[sP23])])).
% 100.40/97.84  thf(sP24,plain,sP24 <=> ((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP24])])).
% 100.40/97.84  thf(sP25,plain,sP25 <=> ((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,[sP25])])).
% 100.40/97.84  thf(sP26,plain,sP26 <=> (((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,[sP26])])).
% 100.40/97.84  thf(sP27,plain,sP27 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP27])])).
% 100.40/97.84  thf(sP28,plain,sP28 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP28])])).
% 100.40/97.84  thf(sP29,plain,sP29 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__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,[sP29])])).
% 100.40/97.84  thf(sP30,plain,sP30 <=> (![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,[sP30])])).
% 100.40/97.84  thf(sP31,plain,sP31 <=> ((~(((~((((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((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,[sP31])])).
% 100.40/97.84  thf(sP32,plain,sP32 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP32])])).
% 100.40/97.84  thf(sP33,plain,sP33 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP33])])).
% 100.40/97.84  thf(sP34,plain,sP34 <=> ((~(((~(((~((sP33 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__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,[sP34])])).
% 100.40/97.84  thf(sP35,plain,sP35 <=> ((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP35])])).
% 100.40/97.84  thf(sP36,plain,sP36 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP36])])).
% 100.40/97.84  thf(sP37,plain,sP37 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP37])])).
% 100.40/97.84  thf(sP38,plain,sP38 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP38])])).
% 100.40/97.84  thf(sP39,plain,sP39 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP39])])).
% 100.40/97.84  thf(sP40,plain,sP40 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP40])])).
% 100.40/97.84  thf(sP41,plain,sP41 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP41])])).
% 100.40/97.84  thf(sP42,plain,sP42 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP42])])).
% 100.40/97.84  thf(sP43,plain,sP43 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP43])])).
% 100.40/97.84  thf(sP44,plain,sP44 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP44])])).
% 100.40/97.84  thf(sP45,plain,sP45 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP45])])).
% 100.40/97.84  thf(sP46,plain,sP46 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP46])])).
% 100.40/97.84  thf(sP47,plain,sP47 <=> ((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP47])])).
% 100.40/97.84  thf(sP48,plain,sP48 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(sP39))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP48])])).
% 100.40/97.84  thf(sP49,plain,sP49 <=> ((~((((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP49])])).
% 100.40/97.84  thf(sP50,plain,sP50 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP25))) => ((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,[sP50])])).
% 100.40/97.84  thf(sP51,plain,sP51 <=> ((~((((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))))))),introduced(definition,[new_symbols(definition,[sP51])])).
% 100.40/97.84  thf(sP52,plain,sP52 <=> ((~((sP39 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP52])])).
% 100.40/97.84  thf(sP53,plain,sP53 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((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,[sP53])])).
% 100.40/97.84  thf(sP54,plain,sP54 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP54])])).
% 100.40/97.84  thf(sP55,plain,sP55 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP55])])).
% 100.40/97.84  thf(sP56,plain,sP56 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP56])])).
% 100.40/97.84  thf(sP57,plain,sP57 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__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))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP57])])).
% 100.40/97.84  thf(sP58,plain,sP58 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP58])])).
% 100.40/97.84  thf(sP59,plain,sP59 <=> ((~((((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)))))))),introduced(definition,[new_symbols(definition,[sP59])])).
% 100.40/97.84  thf(sP60,plain,sP60 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (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__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP60])])).
% 100.40/97.84  thf(sP61,plain,sP61 <=> ((~((((b @ (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__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,[sP61])])).
% 100.40/97.84  thf(sP62,plain,sP62 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((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__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP62])])).
% 100.40/97.84  thf(sP63,plain,sP63 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP63])])).
% 100.40/97.84  thf(sP64,plain,sP64 <=> ((~(((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP64])])).
% 100.40/97.84  thf(sP65,plain,sP65 <=> ((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP65])])).
% 100.40/97.84  thf(sP66,plain,sP66 <=> (((r @ eigen__1) @ (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,[sP66])])).
% 100.40/97.84  thf(sP67,plain,sP67 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP67])])).
% 100.40/97.84  thf(sP68,plain,sP68 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP68])])).
% 100.40/97.84  thf(sP69,plain,sP69 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP69])])).
% 100.40/97.84  thf(sP70,plain,sP70 <=> ((~((sP41 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP68))),introduced(definition,[new_symbols(definition,[sP70])])).
% 100.40/97.84  thf(sP71,plain,sP71 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP71])])).
% 100.40/97.84  thf(sP72,plain,sP72 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP72])])).
% 100.40/97.84  thf(sP73,plain,sP73 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP73])])).
% 100.40/97.84  thf(sP74,plain,sP74 <=> (sP68 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP74])])).
% 100.40/97.84  thf(sP75,plain,sP75 <=> ((~(((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))))))),introduced(definition,[new_symbols(definition,[sP75])])).
% 100.40/97.84  thf(sP76,plain,sP76 <=> ((~(((~(((~((((r @ (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__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP33))))) => (~(((r @ (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))))))),introduced(definition,[new_symbols(definition,[sP76])])).
% 100.40/97.84  thf(sP77,plain,sP77 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP77])])).
% 100.40/97.84  thf(sP78,plain,sP78 <=> (((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP78])])).
% 100.40/97.84  thf(sP79,plain,sP79 <=> ((~(((~(sP77)) => (~(sP46))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP79])])).
% 100.40/97.84  thf(sP80,plain,sP80 <=> ((~(sP78)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP80])])).
% 100.40/97.84  thf(sP81,plain,sP81 <=> ((~(((~(sP77)) => (~(sP46))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP81])])).
% 100.40/97.84  thf(sP82,plain,sP82 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP46))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP82])])).
% 100.40/97.84  thf(sP83,plain,sP83 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP83])])).
% 100.40/97.84  thf(sP84,plain,sP84 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP32))),introduced(definition,[new_symbols(definition,[sP84])])).
% 100.40/97.84  thf(sP85,plain,sP85 <=> ((~(((~(sP6)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP85])])).
% 100.40/97.84  thf(sP86,plain,sP86 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP86])])).
% 100.40/97.84  thf(sP87,plain,sP87 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP87])])).
% 100.40/97.84  thf(sP88,plain,sP88 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP88])])).
% 100.40/97.84  thf(sP89,plain,sP89 <=> ((~((sP46 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP89])])).
% 100.40/97.84  thf(sP90,plain,sP90 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP90])])).
% 100.40/97.84  thf(sP91,plain,sP91 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP91])])).
% 100.40/97.84  thf(sP92,plain,sP92 <=> (sP46 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP92])])).
% 100.40/97.84  thf(sP93,plain,sP93 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP93])])).
% 100.40/97.84  thf(sP94,plain,sP94 <=> ((~(sP88)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP94])])).
% 100.40/97.84  thf(sP95,plain,sP95 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP95])])).
% 100.40/97.84  thf(sP96,plain,sP96 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP96])])).
% 100.40/97.84  thf(sP97,plain,sP97 <=> (![X1:$i]:((~((sP68 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP97])])).
% 100.40/97.84  thf(sP98,plain,sP98 <=> ((~(((~(((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,[sP98])])).
% 100.40/97.84  thf(sP99,plain,sP99 <=> ((~((((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)))),introduced(definition,[new_symbols(definition,[sP99])])).
% 100.40/97.84  thf(sP100,plain,sP100 <=> (![X1:$i]:((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP100])])).
% 100.40/97.84  thf(sP101,plain,sP101 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP101])])).
% 100.40/97.84  thf(sP102,plain,sP102 <=> ((~(sP17)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP102])])).
% 100.40/97.84  thf(sP103,plain,sP103 <=> ((~((sP41 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP103])])).
% 100.40/97.84  thf(sP104,plain,sP104 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP104])])).
% 100.40/97.84  thf(sP105,plain,sP105 <=> (![X1:$i]:((~((((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__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP105])])).
% 100.40/97.84  thf(sP106,plain,sP106 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP106])])).
% 100.40/97.84  thf(sP107,plain,sP107 <=> ((~(sP65)) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP107])])).
% 100.40/97.84  thf(sP108,plain,sP108 <=> ((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP108])])).
% 100.40/97.84  thf(sP109,plain,sP109 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP109])])).
% 100.40/97.84  thf(sP110,plain,sP110 <=> (![X1:$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))))),introduced(definition,[new_symbols(definition,[sP110])])).
% 100.40/97.84  thf(sP111,plain,sP111 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP111])])).
% 100.40/97.84  thf(sP112,plain,sP112 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__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,[sP112])])).
% 100.40/97.84  thf(sP113,plain,sP113 <=> ((~(sP79)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP113])])).
% 100.40/97.84  thf(sP114,plain,sP114 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (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,[sP114])])).
% 100.40/97.84  thf(sP115,plain,sP115 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP115])])).
% 100.40/97.84  thf(sP116,plain,sP116 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP116])])).
% 100.40/97.84  thf(sP117,plain,sP117 <=> ((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP117])])).
% 100.40/97.84  thf(sP118,plain,sP118 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP118])])).
% 100.40/97.84  thf(sP119,plain,sP119 <=> ((~(sP86)) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP119])])).
% 100.40/97.84  thf(sP120,plain,sP120 <=> ((~(sP57)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP120])])).
% 100.40/97.84  thf(sP121,plain,sP121 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = (eigen__0 @ X1)) => (eigen__1 = X1))),introduced(definition,[new_symbols(definition,[sP121])])).
% 100.40/97.84  thf(sP122,plain,sP122 <=> ((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,[sP122])])).
% 100.40/97.84  thf(sP123,plain,sP123 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP123])])).
% 100.40/97.84  thf(sP124,plain,sP124 <=> (((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)))))))),introduced(definition,[new_symbols(definition,[sP124])])).
% 100.40/97.84  thf(sP125,plain,sP125 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP32))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP125])])).
% 100.40/97.84  thf(sP126,plain,sP126 <=> (((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__1)))))),introduced(definition,[new_symbols(definition,[sP126])])).
% 100.40/97.84  thf(sP127,plain,sP127 <=> ((~((sP90 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP127])])).
% 100.40/97.84  thf(sP128,plain,sP128 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP128])])).
% 100.40/97.84  thf(sP129,plain,sP129 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP129])])).
% 100.40/97.84  thf(sP130,plain,sP130 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP130])])).
% 100.40/97.84  thf(sP131,plain,sP131 <=> ((~(((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,[sP131])])).
% 100.40/97.84  thf(sP132,plain,sP132 <=> (sP38 => ((eigen__0 @ eigen__1) = eigen__1)),introduced(definition,[new_symbols(definition,[sP132])])).
% 100.40/97.84  thf(sP133,plain,sP133 <=> ((~(((~((((r @ (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__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP133])])).
% 100.40/97.84  thf(sP134,plain,sP134 <=> (![X1:$i]:((~(((~(((~(sP45)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP134])])).
% 100.40/97.84  thf(sP135,plain,sP135 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP135])])).
% 100.40/97.84  thf(sP136,plain,sP136 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP136])])).
% 100.40/97.84  thf(sP137,plain,sP137 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP137])])).
% 100.40/97.84  thf(sP138,plain,sP138 <=> ((~((((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,[sP138])])).
% 100.40/97.84  thf(sP139,plain,sP139 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP139])])).
% 100.40/97.84  thf(sP140,plain,sP140 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))),introduced(definition,[new_symbols(definition,[sP140])])).
% 100.40/97.84  thf(sP141,plain,sP141 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP141])])).
% 100.40/97.84  thf(sP142,plain,sP142 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP90))),introduced(definition,[new_symbols(definition,[sP142])])).
% 100.40/97.84  thf(sP143,plain,sP143 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP143])])).
% 100.40/97.84  thf(sP144,plain,sP144 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP144])])).
% 100.40/97.84  thf(sP145,plain,sP145 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP145])])).
% 100.40/97.84  thf(sP146,plain,sP146 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP145))))) => (~(((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)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP146])])).
% 100.40/97.84  thf(sP147,plain,sP147 <=> ((~(sP138)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP147])])).
% 100.40/97.84  thf(sP148,plain,sP148 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP148])])).
% 100.40/97.84  thf(sP149,plain,sP149 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP149])])).
% 100.40/97.84  thf(sP150,plain,sP150 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP150])])).
% 100.40/97.84  thf(sP151,plain,sP151 <=> ((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP46))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP151])])).
% 100.40/97.84  thf(sP152,plain,sP152 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP152])])).
% 100.40/97.84  thf(sP153,plain,sP153 <=> ((~(((~(sP139)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP153])])).
% 100.40/97.84  thf(sP154,plain,sP154 <=> ((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,[sP154])])).
% 100.40/97.84  thf(sP155,plain,sP155 <=> ((~(sP27)) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP155])])).
% 100.40/97.84  thf(sP156,plain,sP156 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(sP46))))) => (~(sP145))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP156])])).
% 100.40/97.84  thf(sP157,plain,sP157 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP157])])).
% 100.40/97.84  thf(sP158,plain,sP158 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP158])])).
% 100.40/97.84  thf(sP159,plain,sP159 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP159])])).
% 100.40/97.84  thf(sP160,plain,sP160 <=> ((~((((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))))))) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP160])])).
% 100.40/97.84  thf(sP161,plain,sP161 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP161])])).
% 100.40/97.84  thf(sP162,plain,sP162 <=> ((~(((~((eigen__1 = (eigen__0 @ eigen__1)))) => sP118))) => ((b @ eigen__1) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP162])])).
% 100.40/97.84  thf(sP163,plain,sP163 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP163])])).
% 100.40/97.84  thf(sP164,plain,sP164 <=> (sP149 => (~(sP3))),introduced(definition,[new_symbols(definition,[sP164])])).
% 100.40/97.84  thf(sP165,plain,sP165 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP165])])).
% 100.40/97.84  thf(sP166,plain,sP166 <=> ((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,[sP166])])).
% 100.40/97.84  thf(sP167,plain,sP167 <=> ((~(((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,[sP167])])).
% 100.40/97.84  thf(sP168,plain,sP168 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP118))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP168])])).
% 100.40/97.84  thf(sP169,plain,sP169 <=> (![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,[sP169])])).
% 100.40/97.84  thf(sP170,plain,sP170 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP170])])).
% 100.40/97.84  thf(sP171,plain,sP171 <=> ((~(((~(sP43)) => (~(sP145))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP171])])).
% 100.40/97.84  thf(sP172,plain,sP172 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP25),introduced(definition,[new_symbols(definition,[sP172])])).
% 100.40/97.84  thf(sP173,plain,sP173 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP173])])).
% 100.40/97.84  thf(sP174,plain,sP174 <=> ((~((sP3 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP174])])).
% 100.40/97.84  thf(sP175,plain,sP175 <=> (sP41 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP175])])).
% 100.40/97.84  thf(sP176,plain,sP176 <=> ((~(((~(sP112)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP176])])).
% 100.40/97.84  thf(sP177,plain,sP177 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP177])])).
% 100.40/97.84  thf(sP178,plain,sP178 <=> (sP32 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP178])])).
% 100.40/97.84  thf(sP179,plain,sP179 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP179])])).
% 100.40/97.84  thf(sP180,plain,sP180 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP180])])).
% 100.40/97.84  thf(sP181,plain,sP181 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP39))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP181])])).
% 100.40/97.84  thf(sP182,plain,sP182 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP182])])).
% 100.40/97.84  thf(sP183,plain,sP183 <=> ((~(((~((sP46 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP183])])).
% 100.40/97.84  thf(sP184,plain,sP184 <=> ((~(((~((sP33 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP122))))) => (~(sP63))),introduced(definition,[new_symbols(definition,[sP184])])).
% 100.40/97.84  thf(sP185,plain,sP185 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP33))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP185])])).
% 100.40/97.84  thf(sP186,plain,sP186 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP186])])).
% 100.40/97.84  thf(sP187,plain,sP187 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP187])])).
% 100.40/97.84  thf(sP188,plain,sP188 <=> ((~(((~(sP89)) => (~(sP118))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP188])])).
% 100.40/97.84  thf(sP189,plain,sP189 <=> ((~(((~(sP21)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP189])])).
% 100.40/97.84  thf(sP190,plain,sP190 <=> ((~(((~(((~(sP77)) => (~(sP46))))) => (~(sP145))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP190])])).
% 100.40/97.84  thf(sP191,plain,sP191 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP191])])).
% 100.40/97.84  thf(sP192,plain,sP192 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP33))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP192])])).
% 100.40/97.84  thf(sP193,plain,sP193 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP118))))) => (~(((r @ 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,[sP193])])).
% 100.40/97.84  thf(sP194,plain,sP194 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP194])])).
% 100.40/97.84  thf(sP195,plain,sP195 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP33))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP195])])).
% 100.40/97.84  thf(sP196,plain,sP196 <=> (sP68 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP196])])).
% 100.40/97.84  thf(sP197,plain,sP197 <=> ((~(((~((((r @ eigen__1) @ (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))))))))))) => (~(sP122))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP197])])).
% 100.40/97.84  thf(sP198,plain,sP198 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP145))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP198])])).
% 100.40/97.84  thf(sP199,plain,sP199 <=> ((~(sP112)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP199])])).
% 100.40/97.84  thf(sP200,plain,sP200 <=> ((~(((~((sP145 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP122))))) => (~(sP144))),introduced(definition,[new_symbols(definition,[sP200])])).
% 100.40/97.84  thf(sP201,plain,sP201 <=> ((~((((r @ (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__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP201])])).
% 100.40/97.84  thf(sP202,plain,sP202 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP166))),introduced(definition,[new_symbols(definition,[sP202])])).
% 100.40/97.84  thf(sP203,plain,sP203 <=> ((~((sP3 => (~(sP68))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP203])])).
% 100.40/97.84  thf(sP204,plain,sP204 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((r @ eigen__1) @ X1) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP204])])).
% 100.40/97.84  thf(sP205,plain,sP205 <=> (![X1:$i]:((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP205])])).
% 100.40/97.84  thf(sP206,plain,sP206 <=> ((~((sP118 => (~(((r @ 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,[sP206])])).
% 100.40/97.84  thf(sP207,plain,sP207 <=> (sP46 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP207])])).
% 100.40/97.84  thf(sP208,plain,sP208 <=> (sP170 => (~(((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,[sP208])])).
% 100.40/97.84  thf(sP209,plain,sP209 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP209])])).
% 100.40/97.84  thf(sP210,plain,sP210 <=> ((~(sP139)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP210])])).
% 100.40/97.84  thf(sP211,plain,sP211 <=> (sP118 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP211])])).
% 100.40/97.84  thf(sP212,plain,sP212 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(sP90))),introduced(definition,[new_symbols(definition,[sP212])])).
% 100.40/97.84  thf(sP213,plain,sP213 <=> ((~(sP131)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP213])])).
% 100.40/97.84  thf(sP214,plain,sP214 <=> ((~(sP8)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP214])])).
% 100.40/97.84  thf(sP215,plain,sP215 <=> ((~(sP73)) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP215])])).
% 100.40/97.84  thf(sP216,plain,sP216 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP216])])).
% 100.40/97.84  thf(sP217,plain,sP217 <=> ((~(sP80)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP217])])).
% 100.40/97.84  thf(sP218,plain,sP218 <=> (((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,[sP218])])).
% 100.40/97.85  thf(sP219,plain,sP219 <=> ((~(sP201)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP219])])).
% 100.40/97.85  thf(sP220,plain,sP220 <=> ((~(((~((((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))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP220])])).
% 100.40/97.85  thf(sP221,plain,sP221 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP221])])).
% 100.40/97.85  thf(sP222,plain,sP222 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP222])])).
% 100.40/97.85  thf(sP223,plain,sP223 <=> (![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,[sP223])])).
% 100.40/97.85  thf(sP224,plain,sP224 <=> ((~(sP11)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP224])])).
% 100.40/97.85  thf(sP225,plain,sP225 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP33))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP225])])).
% 100.40/97.85  thf(sP226,plain,sP226 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP46))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP226])])).
% 100.40/97.85  thf(sP227,plain,sP227 <=> ((~((sP3 => (~(sP149))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP227])])).
% 100.40/97.85  thf(sP228,plain,sP228 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1))) => sP173),introduced(definition,[new_symbols(definition,[sP228])])).
% 100.40/97.85  thf(sP229,plain,sP229 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP221))))) => (~(sP118))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP229])])).
% 100.40/97.85  thf(sP230,plain,sP230 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP230])])).
% 100.40/97.85  thf(sP231,plain,sP231 <=> ((~((((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,[sP231])])).
% 100.40/97.85  thf(sP232,plain,sP232 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP232])])).
% 100.40/97.85  thf(sP233,plain,sP233 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP233])])).
% 100.40/97.85  thf(sP234,plain,sP234 <=> ((~((((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,[sP234])])).
% 100.40/97.85  thf(sP235,plain,sP235 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP235])])).
% 100.40/97.85  thf(sP236,plain,sP236 <=> ((~(((~((sP118 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP236])])).
% 100.40/97.85  thf(sP237,plain,sP237 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP237])])).
% 100.40/97.85  thf(sP238,plain,sP238 <=> ((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP166))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP238])])).
% 100.40/97.85  thf(sP239,plain,sP239 <=> ((~(((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,[sP239])])).
% 100.40/97.85  thf(sP240,plain,sP240 <=> (((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)))))))),introduced(definition,[new_symbols(definition,[sP240])])).
% 100.40/97.85  thf(sP241,plain,sP241 <=> ((~(sP167)) => sP32),introduced(definition,[new_symbols(definition,[sP241])])).
% 100.40/97.85  thf(sP242,plain,sP242 <=> ((~((((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__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,[sP242])])).
% 100.40/97.85  thf(sP243,plain,sP243 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP243])])).
% 100.40/97.85  thf(sP244,plain,sP244 <=> (((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)))),introduced(definition,[new_symbols(definition,[sP244])])).
% 100.40/97.85  thf(sP245,plain,sP245 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP245])])).
% 100.40/97.85  thf(sP246,plain,sP246 <=> ((~(((~(((~((sP145 => (~(((r @ (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))))))))) => (~(sP144))))) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP246])])).
% 100.40/97.85  thf(sP247,plain,sP247 <=> ((~(sP198)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP247])])).
% 100.40/97.85  thf(sP248,plain,sP248 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP248])])).
% 100.40/97.85  thf(sP249,plain,sP249 <=> ((~((sP243 => (~(sP221))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP249])])).
% 100.40/97.85  thf(sP250,plain,sP250 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => sP144))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP250])])).
% 100.40/97.85  thf(sP251,plain,sP251 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP251])])).
% 100.40/97.85  thf(sP252,plain,sP252 <=> ((~(sP139)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP252])])).
% 100.40/97.85  thf(sP253,plain,sP253 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP253])])).
% 100.40/97.85  thf(sP254,plain,sP254 <=> (![X1:$i]:(![X2:$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)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP254])])).
% 100.40/97.85  thf(sP255,plain,sP255 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP255])])).
% 100.40/97.85  thf(sP256,plain,sP256 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP256])])).
% 100.40/97.85  thf(sP257,plain,sP257 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP32))))) => (~(sP90))),introduced(definition,[new_symbols(definition,[sP257])])).
% 100.40/97.85  thf(sP258,plain,sP258 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP258])])).
% 100.40/97.85  thf(sP259,plain,sP259 <=> ((~((sP90 => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(sP143))),introduced(definition,[new_symbols(definition,[sP259])])).
% 100.40/97.85  thf(sP260,plain,sP260 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP260])])).
% 100.40/97.85  thf(sP261,plain,sP261 <=> (((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__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP261])])).
% 100.40/97.85  thf(sP262,plain,sP262 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP262])])).
% 100.40/97.85  thf(sP263,plain,sP263 <=> ((~(sP81)) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP263])])).
% 100.40/97.85  thf(sP264,plain,sP264 <=> ((~(sP77)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP264])])).
% 100.40/97.85  thf(sP265,plain,sP265 <=> (![X1:$i]:((~(((~(sP112)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP265])])).
% 100.40/97.85  thf(sP266,plain,sP266 <=> (![X1:$i]:((~(((~(sP206)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP266])])).
% 100.40/97.85  thf(sP267,plain,sP267 <=> ((~(sP248)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP267])])).
% 100.40/97.85  thf(sP268,plain,sP268 <=> (![X1:$i]:((~((((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP268])])).
% 100.40/97.85  thf(sP269,plain,sP269 <=> ((~(sP228)) => sP233),introduced(definition,[new_symbols(definition,[sP269])])).
% 100.40/97.85  thf(sP270,plain,sP270 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP270])])).
% 100.40/97.85  thf(sP271,plain,sP271 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP271])])).
% 100.40/97.85  thf(sP272,plain,sP272 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP143))),introduced(definition,[new_symbols(definition,[sP272])])).
% 100.40/97.85  thf(sP273,plain,sP273 <=> (![X1:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP273])])).
% 100.40/97.85  thf(sP274,plain,sP274 <=> ((~(sP75)) => ((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,[sP274])])).
% 100.40/97.85  thf(sP275,plain,sP275 <=> ((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,[sP275])])).
% 100.40/97.85  thf(sP276,plain,sP276 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP276])])).
% 100.40/97.85  thf(sP277,plain,sP277 <=> ((~(((~((sP243 => (~(sP166))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP277])])).
% 100.40/97.85  thf(sP278,plain,sP278 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP278])])).
% 100.40/97.85  thf(sP279,plain,sP279 <=> (sP278 => sP38),introduced(definition,[new_symbols(definition,[sP279])])).
% 100.40/97.85  thf(sP280,plain,sP280 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP280])])).
% 100.40/97.85  thf(sP281,plain,sP281 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP281])])).
% 100.40/97.85  thf(sP282,plain,sP282 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP221 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP282])])).
% 100.40/97.85  thf(sP283,plain,sP283 <=> ((~(sP116)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP283])])).
% 100.40/97.85  thf(sP284,plain,sP284 <=> ((~((((r @ eigen__1) @ (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))))))))))) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP284])])).
% 100.40/97.85  thf(sP285,plain,sP285 <=> ((~((sP145 => (~(((r @ (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))))))),introduced(definition,[new_symbols(definition,[sP285])])).
% 100.40/97.85  thf(sP286,plain,sP286 <=> (sP262 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP286])])).
% 100.40/97.85  thf(sP287,plain,sP287 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP287])])).
% 100.40/97.85  thf(sP288,plain,sP288 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP288])])).
% 100.40/97.85  thf(sP289,plain,sP289 <=> ((~(sP264)) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP289])])).
% 100.40/97.85  thf(sP290,plain,sP290 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP290])])).
% 100.40/97.85  thf(sP291,plain,sP291 <=> (((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,[sP291])])).
% 100.40/97.85  thf(sP292,plain,sP292 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP170))),introduced(definition,[new_symbols(definition,[sP292])])).
% 100.40/97.85  thf(sP293,plain,sP293 <=> ((~((sP170 => (~(sP41))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP293])])).
% 100.40/97.85  thf(sP294,plain,sP294 <=> ((~((sP46 => (~(sP145))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP294])])).
% 100.40/97.85  thf(sP295,plain,sP295 <=> (sP149 => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP295])])).
% 100.40/97.85  thf(sP296,plain,sP296 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP296])])).
% 100.40/97.85  thf(sP297,plain,sP297 <=> ((~((sP275 => (~(sP270))))) => (~(sP143))),introduced(definition,[new_symbols(definition,[sP297])])).
% 100.40/97.85  thf(sP298,plain,sP298 <=> ((~(sP66)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP298])])).
% 100.40/97.85  thf(sP299,plain,sP299 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP299])])).
% 100.40/97.85  thf(sP300,plain,sP300 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP300])])).
% 100.40/97.85  thf(sP301,plain,sP301 <=> ((~(sP12)) => (~(sP63))),introduced(definition,[new_symbols(definition,[sP301])])).
% 100.40/97.85  thf(sP302,plain,sP302 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP302])])).
% 100.40/97.85  thf(sP303,plain,sP303 <=> ((~(sP152)) => sP288),introduced(definition,[new_symbols(definition,[sP303])])).
% 100.40/97.85  thf(sP304,plain,sP304 <=> ((~(((~(sP40)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))) => sP170),introduced(definition,[new_symbols(definition,[sP304])])).
% 100.40/97.85  thf(sP305,plain,sP305 <=> (((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,[sP305])])).
% 100.40/97.85  thf(sP306,plain,sP306 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP46 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP306])])).
% 100.40/97.85  thf(sP307,plain,sP307 <=> ((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP307])])).
% 100.40/97.85  thf(sP308,plain,sP308 <=> ((~((sP33 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP308])])).
% 100.40/97.85  thf(sP309,plain,sP309 <=> (sP194 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP309])])).
% 100.40/97.85  thf(sP310,plain,sP310 <=> ((~(((~(((~(sP21)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP235))))) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP310])])).
% 100.40/97.85  thf(sP311,plain,sP311 <=> ((~(((~(sP207)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP311])])).
% 100.40/97.85  thf(sP312,plain,sP312 <=> ((~(sP130)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP312])])).
% 100.40/97.85  thf(sP313,plain,sP313 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP313])])).
% 100.40/97.85  thf(sP314,plain,sP314 <=> (![X1:$i]:((~((sP270 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP314])])).
% 100.40/97.85  thf(sP315,plain,sP315 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP315])])).
% 100.40/97.85  thf(sP316,plain,sP316 <=> ((~(sP20)) => sP39),introduced(definition,[new_symbols(definition,[sP316])])).
% 100.40/97.85  thf(sP317,plain,sP317 <=> ((~(sP16)) => (~(sP143))),introduced(definition,[new_symbols(definition,[sP317])])).
% 100.40/97.85  thf(sP318,plain,sP318 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => sP144),introduced(definition,[new_symbols(definition,[sP318])])).
% 100.40/97.85  thf(sP319,plain,sP319 <=> (![X1:$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))))),introduced(definition,[new_symbols(definition,[sP319])])).
% 100.40/97.85  thf(sP320,plain,sP320 <=> ((~(((~(((~(sP286)) => (~(((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,[sP320])])).
% 100.40/97.85  thf(sP321,plain,sP321 <=> ((~(sP147)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP321])])).
% 100.40/97.85  thf(sP322,plain,sP322 <=> ((~(sP315)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP322])])).
% 100.40/97.85  thf(sP323,plain,sP323 <=> (![X1:$i]:((~(((~(sP185)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP323])])).
% 100.40/97.85  thf(sP324,plain,sP324 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP324])])).
% 100.40/97.85  thf(sP325,plain,sP325 <=> (![X1:$i]:((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP33))))) => (~(((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,[sP325])])).
% 100.40/97.85  thf(sP326,plain,sP326 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP39))))) => (~(sP170))),introduced(definition,[new_symbols(definition,[sP326])])).
% 100.40/97.85  thf(sP327,plain,sP327 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP327])])).
% 100.40/97.85  thf(sP328,plain,sP328 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP194),introduced(definition,[new_symbols(definition,[sP328])])).
% 100.40/97.85  thf(sP329,plain,sP329 <=> ((~((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,[sP329])])).
% 100.40/97.85  thf(sP330,plain,sP330 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP330])])).
% 100.40/97.85  thf(sP331,plain,sP331 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP331])])).
% 100.40/97.85  thf(sP332,plain,sP332 <=> (sP148 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP332])])).
% 100.40/97.85  thf(sP333,plain,sP333 <=> ((~(((~(((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP145))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP221))))) => (~(sP144))),introduced(definition,[new_symbols(definition,[sP333])])).
% 100.40/97.85  thf(sP334,plain,sP334 <=> ((~(sP85)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP334])])).
% 100.40/97.85  thf(sP335,plain,sP335 <=> (sP221 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP335])])).
% 100.40/97.85  thf(sP336,plain,sP336 <=> (sP233 => (~(((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,[sP336])])).
% 100.40/97.85  thf(sP337,plain,sP337 <=> ((~(sP303)) => sP143),introduced(definition,[new_symbols(definition,[sP337])])).
% 100.40/97.85  thf(sP338,plain,sP338 <=> ((~(((~((sP221 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(sP46))))) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP338])])).
% 100.40/97.85  thf(sP339,plain,sP339 <=> (![X1:$i]:((~((sP170 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP339])])).
% 100.40/97.85  thf(sP340,plain,sP340 <=> ((~(((~(sP286)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(sP166))),introduced(definition,[new_symbols(definition,[sP340])])).
% 100.40/97.85  thf(sP341,plain,sP341 <=> (![X1:$i]:((~(((~(sP109)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP341])])).
% 100.40/97.85  thf(sP342,plain,sP342 <=> ((~(sP283)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP342])])).
% 100.40/97.85  thf(sP343,plain,sP343 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP170))))) => (~(sP233))),introduced(definition,[new_symbols(definition,[sP343])])).
% 100.40/97.85  thf(sP344,plain,sP344 <=> ((~(sP311)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP344])])).
% 100.40/97.85  thf(sP345,plain,sP345 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP345])])).
% 100.40/97.85  thf(sP346,plain,sP346 <=> ((~(sP291)) => (~(sP270))),introduced(definition,[new_symbols(definition,[sP346])])).
% 100.40/97.85  thf(sP347,plain,sP347 <=> ((~(sP69)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP347])])).
% 100.40/97.85  thf(sP348,plain,sP348 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP348])])).
% 100.40/97.85  thf(sP349,plain,sP349 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP349])])).
% 100.40/97.85  thf(sP350,plain,sP350 <=> ((~(sP305)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP350])])).
% 100.40/97.85  thf(sP351,plain,sP351 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP351])])).
% 100.40/97.85  thf(sP352,plain,sP352 <=> ((~(sP260)) => (~(sP270))),introduced(definition,[new_symbols(definition,[sP352])])).
% 100.40/97.85  thf(sP353,plain,sP353 <=> (![X1:$i]:((~((sP143 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP353])])).
% 100.40/97.85  thf(sP354,plain,sP354 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP354])])).
% 100.40/97.85  thf(sP355,plain,sP355 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP355])])).
% 100.40/97.85  thf(sP356,plain,sP356 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~((((r @ X1) @ X2) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3)))))) => (~(((r @ X2) @ X4)))))) => (~(((r @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP356])])).
% 100.40/97.85  thf(sP357,plain,sP357 <=> (sP149 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP357])])).
% 100.40/97.85  thf(sP358,plain,sP358 <=> ((~(((~(((~((sP235 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(sP221))))) => (~(sP243))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP358])])).
% 100.40/97.85  thf(sP359,plain,sP359 <=> ((~(sP345)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP359])])).
% 100.40/97.85  thf(sP360,plain,sP360 <=> ((~(sP168)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP360])])).
% 100.40/97.85  thf(sP361,plain,sP361 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP361])])).
% 100.40/97.85  thf(sP362,plain,sP362 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP362])])).
% 100.40/97.85  thf(sP363,plain,sP363 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP363])])).
% 100.40/97.85  thf(sP364,plain,sP364 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP364])])).
% 100.40/97.85  thf(sP365,plain,sP365 <=> (sP270 => (~(sP39))),introduced(definition,[new_symbols(definition,[sP365])])).
% 100.40/97.85  thf(sP366,plain,sP366 <=> (sP330 => (~(sP39))),introduced(definition,[new_symbols(definition,[sP366])])).
% 100.40/97.85  thf(sP367,plain,sP367 <=> ((~((sP355 => (~(sP170))))) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP367])])).
% 100.40/97.85  thf(sP368,plain,sP368 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP368])])).
% 100.40/97.85  thf(sP369,plain,sP369 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP369])])).
% 100.40/97.85  thf(sP370,plain,sP370 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP370])])).
% 100.40/97.85  thf(sP371,plain,sP371 <=> (sP3 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP371])])).
% 100.40/97.85  thf(sP372,plain,sP372 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP243 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP372])])).
% 100.40/97.85  thf(sP373,plain,sP373 <=> ((~(((~(sP45)) => (~(sP243))))) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP373])])).
% 100.40/97.85  thf(sP374,plain,sP374 <=> ((~(sP249)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP374])])).
% 100.40/97.85  thf(sP375,plain,sP375 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP375])])).
% 100.40/97.85  thf(sP376,plain,sP376 <=> (sP275 => (~(sP270))),introduced(definition,[new_symbols(definition,[sP376])])).
% 100.40/97.85  thf(sP377,plain,sP377 <=> ((~(sP151)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP377])])).
% 100.40/97.85  thf(sP378,plain,sP378 <=> ((~(((~(sP154)) => sP122))) => sP275),introduced(definition,[new_symbols(definition,[sP378])])).
% 100.40/97.85  thf(sP379,plain,sP379 <=> (![X1:$i]:((~((sP355 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP379])])).
% 100.40/97.85  thf(sP380,plain,sP380 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP380])])).
% 100.40/97.85  thf(sP381,plain,sP381 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)))) => sP221))) => sP41),introduced(definition,[new_symbols(definition,[sP381])])).
% 100.40/97.85  thf(sP382,plain,sP382 <=> (sP46 => (~(sP145))),introduced(definition,[new_symbols(definition,[sP382])])).
% 100.40/97.85  thf(sP383,plain,sP383 <=> ((~(sP239)) => sP149),introduced(definition,[new_symbols(definition,[sP383])])).
% 100.40/97.85  thf(sP384,plain,sP384 <=> (![X1:$i]:((~((sP32 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP384])])).
% 100.40/97.85  thf(sP385,plain,sP385 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP385])])).
% 100.40/97.85  thf(sP386,plain,sP386 <=> ((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP33))))) => (~(sP145))))) => (~(sP287))))) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP386])])).
% 100.40/97.85  thf(sP387,plain,sP387 <=> (sP41 => (~(sP170))),introduced(definition,[new_symbols(definition,[sP387])])).
% 100.40/97.85  thf(sP388,plain,sP388 <=> (![X1:$i]:((~(((~(((~((sP118 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP388])])).
% 100.40/97.85  thf(sP389,plain,sP389 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP271),introduced(definition,[new_symbols(definition,[sP389])])).
% 100.40/97.85  thf(sP390,plain,sP390 <=> ((~(sP294)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP390])])).
% 100.40/97.85  thf(sP391,plain,sP391 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP145 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP391])])).
% 100.40/97.85  thf(sP392,plain,sP392 <=> ((~(sP322)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP392])])).
% 100.40/97.85  thf(sP393,plain,sP393 <=> (sP73 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP393])])).
% 100.40/97.85  thf(sP394,plain,sP394 <=> ((~(sP220)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP394])])).
% 100.40/97.85  thf(sP395,plain,sP395 <=> (![X1:$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,[sP395])])).
% 100.40/97.85  thf(sP396,plain,sP396 <=> (![X1:$i]:((~((sP39 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP396])])).
% 100.40/97.85  thf(sP397,plain,sP397 <=> ((~(sP2)) => (~(sP275))),introduced(definition,[new_symbols(definition,[sP397])])).
% 100.40/97.85  thf(sP398,plain,sP398 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP398])])).
% 100.40/97.85  thf(sP399,plain,sP399 <=> (sP90 => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP399])])).
% 100.40/97.85  thf(sP400,plain,sP400 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP400])])).
% 100.40/97.85  thf(sP401,plain,sP401 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP401])])).
% 100.40/97.85  thf(sP402,plain,sP402 <=> ((~(((~(sP380)) => sP235))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP402])])).
% 100.40/97.85  thf(sP403,plain,sP403 <=> ((~(sP43)) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP403])])).
% 100.40/97.85  thf(sP404,plain,sP404 <=> ((~(sP302)) => sP63),introduced(definition,[new_symbols(definition,[sP404])])).
% 100.40/97.85  thf(sP405,plain,sP405 <=> ((~(sP189)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP405])])).
% 100.40/97.85  thf(sP406,plain,sP406 <=> (![X1:$i]:((~((sP330 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP406])])).
% 100.40/97.85  thf(sP407,plain,sP407 <=> ((~(((~(sP94)) => (~(sP221))))) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP407])])).
% 100.40/97.85  thf(sP408,plain,sP408 <=> ((~(sP40)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP408])])).
% 100.40/97.85  thf(sP409,plain,sP409 <=> ((~(((eigen__0 @ eigen__1) = eigen__1))) => sP46),introduced(definition,[new_symbols(definition,[sP409])])).
% 100.40/97.85  thf(sP410,plain,sP410 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP410])])).
% 100.40/97.85  thf(sP411,plain,sP411 <=> (((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__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP411])])).
% 100.40/97.85  thf(sP412,plain,sP412 <=> ((~((sP362 => (~(sP368))))) => (~(sP330))),introduced(definition,[new_symbols(definition,[sP412])])).
% 100.40/97.85  thf(sP413,plain,sP413 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP413])])).
% 100.40/97.85  thf(sP414,plain,sP414 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP262 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP414])])).
% 100.40/97.85  thf(sP415,plain,sP415 <=> ((~(sP351)) => (~(sP68))),introduced(definition,[new_symbols(definition,[sP415])])).
% 100.40/97.85  thf(sP416,plain,sP416 <=> (![X1:$i]:((~((sP233 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP416])])).
% 100.40/97.85  thf(sP417,plain,sP417 <=> (sP235 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP417])])).
% 100.40/97.85  thf(sP418,plain,sP418 <=> (sP243 => (~(sP221))),introduced(definition,[new_symbols(definition,[sP418])])).
% 100.40/97.85  thf(sP419,plain,sP419 <=> (![X1:$i]:((~(((~(sP89)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP419])])).
% 100.40/97.85  thf(sP420,plain,sP420 <=> (![X1:$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,[sP420])])).
% 100.40/97.85  thf(sP421,plain,sP421 <=> (![X1:$i]:((~(((~(sP249)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP421])])).
% 100.40/97.85  thf(sP422,plain,sP422 <=> ((~(((~(sP401)) => (~(sP118))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP422])])).
% 100.40/97.85  thf(sP423,plain,sP423 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP33))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP423])])).
% 100.40/97.85  thf(sP424,plain,sP424 <=> ((~(sP236)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP424])])).
% 100.40/97.85  thf(sP425,plain,sP425 <=> (![X1:$i]:(![X2:$i]:((~((((b @ eigen__1) @ X1) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP425])])).
% 100.40/97.85  thf(sP426,plain,sP426 <=> ((~(sP154)) => sP122),introduced(definition,[new_symbols(definition,[sP426])])).
% 100.40/97.85  thf(sP427,plain,sP427 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP427])])).
% 100.40/97.85  thf(sP428,plain,sP428 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP32))),introduced(definition,[new_symbols(definition,[sP428])])).
% 100.40/97.85  thf(sP429,plain,sP429 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP33))))) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP429])])).
% 100.40/97.85  thf(sP430,plain,sP430 <=> (sP39 => (~(sP330))),introduced(definition,[new_symbols(definition,[sP430])])).
% 100.40/97.85  thf(sP431,plain,sP431 <=> ((~(sP175)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP431])])).
% 100.40/97.85  thf(sP432,plain,sP432 <=> ((~(sP363)) => (~(sP330))),introduced(definition,[new_symbols(definition,[sP432])])).
% 100.40/97.85  thf(sP433,plain,sP433 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP433])])).
% 100.40/97.85  thf(sP434,plain,sP434 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP434])])).
% 100.40/97.85  thf(sP435,plain,sP435 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP435])])).
% 100.40/97.85  thf(sP436,plain,sP436 <=> (sP221 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP436])])).
% 100.40/97.85  thf(sP437,plain,sP437 <=> (sP145 => (~(sP287))),introduced(definition,[new_symbols(definition,[sP437])])).
% 100.40/97.85  thf(sP438,plain,sP438 <=> ((~(sP434)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP438])])).
% 100.40/97.85  thf(sP439,plain,sP439 <=> ((~(sP253)) => (~(sP427))),introduced(definition,[new_symbols(definition,[sP439])])).
% 100.40/97.85  thf(sP440,plain,sP440 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP440])])).
% 100.40/97.85  thf(sP441,plain,sP441 <=> ((~(sP207)) => (~(sP427))),introduced(definition,[new_symbols(definition,[sP441])])).
% 100.40/97.85  thf(sP442,plain,sP442 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP435),introduced(definition,[new_symbols(definition,[sP442])])).
% 100.40/97.85  thf(sP443,plain,sP443 <=> ((~((sP433 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP368))),introduced(definition,[new_symbols(definition,[sP443])])).
% 100.40/97.85  thf(sP444,plain,sP444 <=> ((~(sP380)) => sP235),introduced(definition,[new_symbols(definition,[sP444])])).
% 100.40/97.85  thf(sP445,plain,sP445 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))) => sP348),introduced(definition,[new_symbols(definition,[sP445])])).
% 100.40/97.85  thf(sP446,plain,sP446 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP446])])).
% 100.40/97.85  thf(sP447,plain,sP447 <=> ((~(((~(sP286)) => (~(((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)))),introduced(definition,[new_symbols(definition,[sP447])])).
% 100.40/97.85  thf(sP448,plain,sP448 <=> (sP362 => (~(sP410))),introduced(definition,[new_symbols(definition,[sP448])])).
% 100.40/97.85  thf(sP449,plain,sP449 <=> ((~((sP270 => (~(sP330))))) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP449])])).
% 100.40/97.85  thf(sP450,plain,sP450 <=> ((~(sP165)) => (~(sP144))),introduced(definition,[new_symbols(definition,[sP450])])).
% 100.40/97.85  thf(sP451,plain,sP451 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP451])])).
% 100.40/97.85  thf(sP452,plain,sP452 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP452])])).
% 100.40/97.85  thf(sP453,plain,sP453 <=> (![X1:$i]:((~(((~(sP201)) => (~(((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,[sP453])])).
% 100.40/97.85  thf(sP454,plain,sP454 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP454])])).
% 100.40/97.85  thf(sP455,plain,sP455 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP455])])).
% 100.40/97.85  thf(sP456,plain,sP456 <=> ((~(sP180)) => (~(sP440))),introduced(definition,[new_symbols(definition,[sP456])])).
% 100.40/97.85  thf(sP457,plain,sP457 <=> (![X1:$i]:((~(((~(sP439)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP457])])).
% 100.40/97.85  thf(sP458,plain,sP458 <=> ((~(sP322)) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP458])])).
% 100.40/97.85  thf(sP459,plain,sP459 <=> ((~(sP238)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP459])])).
% 100.40/97.85  thf(sP460,plain,sP460 <=> ((~(sP251)) => (~(sP170))),introduced(definition,[new_symbols(definition,[sP460])])).
% 100.40/97.85  thf(sP461,plain,sP461 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP145))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP461])])).
% 100.40/97.85  thf(sP462,plain,sP462 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP462])])).
% 100.40/97.85  thf(sP463,plain,sP463 <=> (((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,[sP463])])).
% 100.40/97.85  thf(sP464,plain,sP464 <=> ((~(sP296)) => (~(sP275))),introduced(definition,[new_symbols(definition,[sP464])])).
% 100.40/97.85  thf(sP465,plain,sP465 <=> ((~(sP278)) => sP243),introduced(definition,[new_symbols(definition,[sP465])])).
% 100.40/97.85  thf(sP466,plain,sP466 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP466])])).
% 100.40/97.85  thf(sP467,plain,sP467 <=> ((~(sP208)) => (~(sP90))),introduced(definition,[new_symbols(definition,[sP467])])).
% 100.40/97.85  thf(sP468,plain,sP468 <=> (sP433 => (~(sP32))),introduced(definition,[new_symbols(definition,[sP468])])).
% 100.40/97.85  thf(sP469,plain,sP469 <=> ((~(sP114)) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP469])])).
% 100.40/97.85  thf(sP470,plain,sP470 <=> (sP90 => (~(sP368))),introduced(definition,[new_symbols(definition,[sP470])])).
% 100.40/97.85  thf(sP471,plain,sP471 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP433))),introduced(definition,[new_symbols(definition,[sP471])])).
% 100.40/97.85  thf(sP472,plain,sP472 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP472])])).
% 100.40/97.85  thf(sP473,plain,sP473 <=> ((~((sP451 => (~(sP275))))) => (~(sP32))),introduced(definition,[new_symbols(definition,[sP473])])).
% 100.40/97.85  thf(sP474,plain,sP474 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP287))),introduced(definition,[new_symbols(definition,[sP474])])).
% 100.40/97.85  thf(sP475,plain,sP475 <=> (![X1:$i]:((~(((~(sP264)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP475])])).
% 100.40/97.85  thf(sP476,plain,sP476 <=> ((~(sP409)) => sP3),introduced(definition,[new_symbols(definition,[sP476])])).
% 100.40/97.85  thf(sP477,plain,sP477 <=> ((~(sP374)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP477])])).
% 100.40/97.85  thf(sP478,plain,sP478 <=> (sP41 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP478])])).
% 100.40/97.85  thf(sP479,plain,sP479 <=> (sP32 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP479])])).
% 100.40/97.85  thf(sP480,plain,sP480 <=> ((~(((~((sP118 => (~(sP427))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP480])])).
% 100.40/97.85  thf(sP481,plain,sP481 <=> (sP270 => (~(sP330))),introduced(definition,[new_symbols(definition,[sP481])])).
% 100.40/97.85  thf(sP482,plain,sP482 <=> (![X1:$i]:((~(((~(((~((sP427 => (~(sP262))))) => (~(sP235))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP482])])).
% 100.40/97.85  thf(sP483,plain,sP483 <=> (sP364 => (~(sP462))),introduced(definition,[new_symbols(definition,[sP483])])).
% 100.40/97.85  thf(sP484,plain,sP484 <=> ((~(sP474)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP484])])).
% 100.40/97.85  thf(sP485,plain,sP485 <=> (![X1:$i]:((~(((~(((~(sP437)) => (~(sP122))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP485])])).
% 100.40/97.85  thf(sP486,plain,sP486 <=> ((~(sP139)) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP486])])).
% 100.40/97.85  thf(sP487,plain,sP487 <=> ((~(sP329)) => sP90),introduced(definition,[new_symbols(definition,[sP487])])).
% 100.40/97.85  thf(sP488,plain,sP488 <=> ((~(sP461)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP488])])).
% 100.40/97.85  thf(sP489,plain,sP489 <=> ((~((sP118 => (~(sP427))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP489])])).
% 100.40/97.85  thf(sP490,plain,sP490 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP490])])).
% 100.40/97.85  thf(sP491,plain,sP491 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP491])])).
% 100.40/97.85  thf(sP492,plain,sP492 <=> ((~(sP247)) => (~(sP144))),introduced(definition,[new_symbols(definition,[sP492])])).
% 100.40/97.85  thf(sP493,plain,sP493 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP493])])).
% 100.40/97.85  thf(sP494,plain,sP494 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP494])])).
% 100.40/97.85  thf(sP495,plain,sP495 <=> (sP380 => sP150),introduced(definition,[new_symbols(definition,[sP495])])).
% 100.40/97.85  thf(sP496,plain,sP496 <=> (sP433 => (~(sP440))),introduced(definition,[new_symbols(definition,[sP496])])).
% 100.40/97.85  thf(sP497,plain,sP497 <=> ((~(sP55)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP497])])).
% 100.40/97.85  thf(sP498,plain,sP498 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP498])])).
% 100.40/97.85  thf(sP499,plain,sP499 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP170))),introduced(definition,[new_symbols(definition,[sP499])])).
% 100.40/97.85  thf(sP500,plain,sP500 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP500])])).
% 100.40/97.85  thf(sP501,plain,sP501 <=> (sP68 => (~(sP3))),introduced(definition,[new_symbols(definition,[sP501])])).
% 100.40/97.85  thf(sP502,plain,sP502 <=> ((~(sP493)) => sP221),introduced(definition,[new_symbols(definition,[sP502])])).
% 100.40/97.85  thf(sP503,plain,sP503 <=> ((~(((~(sP298)) => (~(sP33))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP503])])).
% 100.40/97.85  thf(sP504,plain,sP504 <=> ((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,[sP504])])).
% 100.40/97.85  thf(sP505,plain,sP505 <=> (sP410 => (~(sP368))),introduced(definition,[new_symbols(definition,[sP505])])).
% 100.40/97.85  thf(sP506,plain,sP506 <=> ((~(sP217)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP506])])).
% 100.40/97.85  thf(sP507,plain,sP507 <=> ((~(sP232)) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP507])])).
% 100.40/97.85  thf(sP508,plain,sP508 <=> (![X1:$i]:((~(((~(((~(sP286)) => (~(sP490))))) => (~(((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,[sP508])])).
% 100.40/97.85  thf(sP509,plain,sP509 <=> (sP154 => sP466),introduced(definition,[new_symbols(definition,[sP509])])).
% 100.40/97.85  thf(sP510,plain,sP510 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP510])])).
% 100.40/97.85  thf(sP511,plain,sP511 <=> ((~(sP215)) => sP410),introduced(definition,[new_symbols(definition,[sP511])])).
% 100.40/97.85  thf(sP512,plain,sP512 <=> ((~(sP35)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP512])])).
% 100.40/97.85  thf(sP513,plain,sP513 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP513])])).
% 100.40/97.85  thf(sP514,plain,sP514 <=> (![X1:$i]:((~(((~(((~(sP21)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP514])])).
% 100.40/97.85  thf(sP515,plain,sP515 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP515])])).
% 100.40/97.85  thf(sP516,plain,sP516 <=> (![X1:$i]:((~((sP498 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP516])])).
% 100.40/97.85  thf(sP517,plain,sP517 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP517])])).
% 100.40/97.85  thf(sP518,plain,sP518 <=> (![X1:$i]:((~(((~(sP308)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP518])])).
% 100.40/97.85  thf(sP519,plain,sP519 <=> ((~(sP429)) => (~(sP287))),introduced(definition,[new_symbols(definition,[sP519])])).
% 100.40/97.85  thf(sP520,plain,sP520 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP520])])).
% 100.40/97.85  thf(sP521,plain,sP521 <=> (sP243 => (~(sP490))),introduced(definition,[new_symbols(definition,[sP521])])).
% 100.40/97.85  thf(sP522,plain,sP522 <=> ((~(sP126)) => (~(sP410))),introduced(definition,[new_symbols(definition,[sP522])])).
% 100.40/97.85  thf(sP523,plain,sP523 <=> ((~(((~(sP417)) => (~(sP221))))) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP523])])).
% 100.40/97.85  thf(sP524,plain,sP524 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP118 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP524])])).
% 100.40/97.85  thf(sP525,plain,sP525 <=> ((~(sP322)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP525])])).
% 100.40/97.85  thf(sP526,plain,sP526 <=> ((~(sP164)) => (~(sP170))),introduced(definition,[new_symbols(definition,[sP526])])).
% 100.40/97.85  thf(sP527,plain,sP527 <=> ((~(sP60)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP527])])).
% 100.40/97.85  thf(sP528,plain,sP528 <=> ((~(sP31)) => (~(sP510))),introduced(definition,[new_symbols(definition,[sP528])])).
% 100.40/97.85  thf(sP529,plain,sP529 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP529])])).
% 100.40/97.85  thf(sP530,plain,sP530 <=> ((~((sP243 => (~(sP166))))) => (~(sP500))),introduced(definition,[new_symbols(definition,[sP530])])).
% 100.40/97.85  thf(sP531,plain,sP531 <=> ((~(sP93)) => (~(sP355))),introduced(definition,[new_symbols(definition,[sP531])])).
% 100.40/97.85  thf(sP532,plain,sP532 <=> (sP275 => (~(sP330))),introduced(definition,[new_symbols(definition,[sP532])])).
% 100.40/97.85  thf(sP533,plain,sP533 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP533])])).
% 100.40/97.85  thf(sP534,plain,sP534 <=> (![X1:$i]:((~(((~(sP138)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP534])])).
% 100.40/97.85  thf(sP535,plain,sP535 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP535])])).
% 100.40/97.85  thf(sP536,plain,sP536 <=> (sP33 => (~(sP500))),introduced(definition,[new_symbols(definition,[sP536])])).
% 100.40/97.85  thf(sP537,plain,sP537 <=> ((~(sP192)) => (~(sP63))),introduced(definition,[new_symbols(definition,[sP537])])).
% 100.40/97.85  thf(sP538,plain,sP538 <=> ((~(((~(sP230)) => (~(sP510))))) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP538])])).
% 100.40/97.85  thf(sP539,plain,sP539 <=> ((~(sP277)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP539])])).
% 100.40/97.85  thf(sP540,plain,sP540 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP540])])).
% 100.40/97.85  thf(sP541,plain,sP541 <=> (![X1:$i]:((~((sP41 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP541])])).
% 100.40/97.85  thf(sP542,plain,sP542 <=> (sP451 => (~(sP275))),introduced(definition,[new_symbols(definition,[sP542])])).
% 100.40/97.85  thf(sP543,plain,sP543 <=> (![X1:$i]:((~(((~(sP168)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP543])])).
% 100.40/97.85  thf(sP544,plain,sP544 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP544])])).
% 100.40/97.85  thf(sP545,plain,sP545 <=> ((~(sP72)) => (~(sP41))),introduced(definition,[new_symbols(definition,[sP545])])).
% 100.40/97.85  thf(sP546,plain,sP546 <=> ((~(sP439)) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP546])])).
% 100.40/97.85  thf(sP547,plain,sP547 <=> ((~(sP111)) => (~(sP270))),introduced(definition,[new_symbols(definition,[sP547])])).
% 100.40/97.85  thf(sP548,plain,sP548 <=> ((~(((~(sP168)) => (~(sP243))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP548])])).
% 100.40/97.85  thf(sP549,plain,sP549 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP549])])).
% 100.40/97.85  thf(sP550,plain,sP550 <=> ((~(sP178)) => (~(sP143))),introduced(definition,[new_symbols(definition,[sP550])])).
% 100.40/97.85  thf(sP551,plain,sP551 <=> (sP270 => (~(sP275))),introduced(definition,[new_symbols(definition,[sP551])])).
% 100.40/97.85  thf(sP552,plain,sP552 <=> (sP433 => (~(sP520))),introduced(definition,[new_symbols(definition,[sP552])])).
% 100.40/97.85  thf(sP553,plain,sP553 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP553])])).
% 100.40/97.85  thf(sP554,plain,sP554 <=> ((~(((~(sP21)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP554])])).
% 100.40/97.85  thf(sP555,plain,sP555 <=> ((~(sP428)) => (~(sP549))),introduced(definition,[new_symbols(definition,[sP555])])).
% 100.49/97.86  thf(sP556,plain,sP556 <=> ((~(sP290)) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP556])])).
% 100.49/97.86  thf(sP557,plain,sP557 <=> ((~(sP74)) => (~(sP517))),introduced(definition,[new_symbols(definition,[sP557])])).
% 100.49/97.86  thf(sP558,plain,sP558 <=> ((~(sP38)) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP558])])).
% 100.49/97.86  thf(sP559,plain,sP559 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP33 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((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,[sP559])])).
% 100.49/97.86  thf(sP560,plain,sP560 <=> ((~(sP404)) => sP451),introduced(definition,[new_symbols(definition,[sP560])])).
% 100.49/97.86  thf(sP561,plain,sP561 <=> ((~(((~(sP331)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP515))),introduced(definition,[new_symbols(definition,[sP561])])).
% 100.49/97.86  thf(sP562,plain,sP562 <=> (sP355 => (~(sP170))),introduced(definition,[new_symbols(definition,[sP562])])).
% 100.49/97.86  thf(sP563,plain,sP563 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP563])])).
% 100.49/97.86  thf(sP564,plain,sP564 <=> (![X1:$i]:((~((sP3 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP564])])).
% 100.49/97.86  thf(sP565,plain,sP565 <=> ((~(sP360)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP565])])).
% 100.49/97.86  thf(sP566,plain,sP566 <=> (sP41 => (~(sP549))),introduced(definition,[new_symbols(definition,[sP566])])).
% 100.49/97.86  thf(sP567,plain,sP567 <=> ((~(sP45)) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP567])])).
% 100.49/97.86  thf(sP568,plain,sP568 <=> ((~(sP401)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP568])])).
% 100.49/97.86  thf(sP569,plain,sP569 <=> (![X1:$i]:((~((sP440 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP569])])).
% 100.49/97.86  thf(sP570,plain,sP570 <=> ((~(sP183)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP570])])).
% 100.49/97.86  thf(sP571,plain,sP571 <=> (![X1:$i]:((~(((~(((~(sP96)) => (~(sP243))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP571])])).
% 100.49/97.86  thf(sP572,plain,sP572 <=> (![X1:$i]:((~((sP517 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP572])])).
% 100.49/97.86  thf(sP573,plain,sP573 <=> ((~(sP200)) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP573])])).
% 100.49/97.86  thf(sP574,plain,sP574 <=> (![X1:$i]:((~(((~(sP294)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP574])])).
% 100.49/97.86  thf(sP575,plain,sP575 <=> ((~(sP336)) => (~(sP368))),introduced(definition,[new_symbols(definition,[sP575])])).
% 100.49/97.86  thf(sP576,plain,sP576 <=> (sP235 => (~(sP33))),introduced(definition,[new_symbols(definition,[sP576])])).
% 100.49/97.86  thf(sP577,plain,sP577 <=> ((~(sP331)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP577])])).
% 100.49/97.86  thf(sP578,plain,sP578 <=> (sP520 => (~(sP32))),introduced(definition,[new_symbols(definition,[sP578])])).
% 100.49/97.86  thf(sP579,plain,sP579 <=> ((~(sP546)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP579])])).
% 100.49/97.86  thf(sP580,plain,sP580 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP580])])).
% 100.49/97.86  thf(sP581,plain,sP581 <=> ((~(sP141)) => sP368),introduced(definition,[new_symbols(definition,[sP581])])).
% 100.49/97.86  thf(sP582,plain,sP582 <=> ((~(sP501)) => (~(sP433))),introduced(definition,[new_symbols(definition,[sP582])])).
% 100.49/97.86  thf(sP583,plain,sP583 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP583])])).
% 100.49/97.86  thf(sP584,plain,sP584 <=> ((~(((~(sP466)) => sP490))) => sP355),introduced(definition,[new_symbols(definition,[sP584])])).
% 100.49/97.86  thf(sP585,plain,sP585 <=> ((~(sP89)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP585])])).
% 100.49/97.86  thf(sP586,plain,sP586 <=> ((~(sP124)) => (~(sP355))),introduced(definition,[new_symbols(definition,[sP586])])).
% 100.49/97.86  thf(sP587,plain,sP587 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP587])])).
% 100.49/97.86  thf(sP588,plain,sP588 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP588])])).
% 100.49/97.86  thf(sP589,plain,sP589 <=> (sP355 => (~(sP563))),introduced(definition,[new_symbols(definition,[sP589])])).
% 100.49/97.86  thf(sP590,plain,sP590 <=> ((~(sP206)) => (~(sP145))),introduced(definition,[new_symbols(definition,[sP590])])).
% 100.49/97.86  thf(sP591,plain,sP591 <=> ((~(sP6)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP591])])).
% 100.49/97.86  thf(sP592,plain,sP592 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP592])])).
% 100.49/97.86  thf(sP593,plain,sP593 <=> ((~(sP142)) => (~(sP275))),introduced(definition,[new_symbols(definition,[sP593])])).
% 100.49/97.86  thf(sP594,plain,sP594 <=> (![X1:$i]:((~(((~(sP80)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP594])])).
% 100.49/97.86  thf(sP595,plain,sP595 <=> ((~(sP590)) => (~(sP490))),introduced(definition,[new_symbols(definition,[sP595])])).
% 100.49/97.86  thf(sP596,plain,sP596 <=> ((~(sP285)) => (~(sP144))),introduced(definition,[new_symbols(definition,[sP596])])).
% 100.49/97.86  thf(sP597,plain,sP597 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP364 => (~(((r @ eigen__1) @ X1)))))) => (~(((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,[sP597])])).
% 100.49/97.86  thf(sP598,plain,sP598 <=> ((~(sP62)) => (~(sP435))),introduced(definition,[new_symbols(definition,[sP598])])).
% 100.49/97.86  thf(sP599,plain,sP599 <=> ((~(((~(sP96)) => (~(sP243))))) => (~(sP510))),introduced(definition,[new_symbols(definition,[sP599])])).
% 100.49/97.86  thf(sP600,plain,sP600 <=> (sP510 => (~(sP490))),introduced(definition,[new_symbols(definition,[sP600])])).
% 100.49/97.86  thf(sP601,plain,sP601 <=> (sP302 => sP493),introduced(definition,[new_symbols(definition,[sP601])])).
% 100.49/97.86  thf(sP602,plain,sP602 <=> (![X1:$i]:((~(((~(sP139)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP602])])).
% 100.49/97.86  thf(sP603,plain,sP603 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => sP580),introduced(definition,[new_symbols(definition,[sP603])])).
% 100.49/97.86  thf(sP604,plain,sP604 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP604])])).
% 100.49/97.86  thf(sP605,plain,sP605 <=> (sP493 => ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP605])])).
% 100.49/97.86  thf(sP606,plain,sP606 <=> ((~(sP117)) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP606])])).
% 100.49/97.86  thf(sP607,plain,sP607 <=> (sP3 => (~(sP149))),introduced(definition,[new_symbols(definition,[sP607])])).
% 100.49/97.86  thf(sP608,plain,sP608 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP608])])).
% 100.49/97.86  thf(sP609,plain,sP609 <=> ((~(sP216)) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP609])])).
% 100.49/97.86  thf(sP610,plain,sP610 <=> (![X1:$i]:((~(((~(((~(sP417)) => (~(sP221))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP610])])).
% 100.49/97.86  thf(sP611,plain,sP611 <=> (sP587 => sP278),introduced(definition,[new_symbols(definition,[sP611])])).
% 100.49/97.86  thf(sP612,plain,sP612 <=> ((~((sP427 => (~(sP262))))) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP612])])).
% 100.49/97.86  thf(sP613,plain,sP613 <=> ((~(sP454)) => sP118),introduced(definition,[new_symbols(definition,[sP613])])).
% 100.49/97.86  thf(sP614,plain,sP614 <=> ((~(sP298)) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP614])])).
% 100.49/97.86  thf(sP615,plain,sP615 <=> ((~(sP22)) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP615])])).
% 100.49/97.86  thf(sP616,plain,sP616 <=> ((~(sP373)) => (~(sP588))),introduced(definition,[new_symbols(definition,[sP616])])).
% 100.49/97.86  thf(sP617,plain,sP617 <=> ((~(sP342)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP617])])).
% 100.49/97.86  thf(sP618,plain,sP618 <=> (sP170 => (~(sP41))),introduced(definition,[new_symbols(definition,[sP618])])).
% 100.49/97.86  thf(sP619,plain,sP619 <=> ((~(sP442)) => sP330),introduced(definition,[new_symbols(definition,[sP619])])).
% 100.49/97.86  thf(sP620,plain,sP620 <=> ((~(sP603)) => sP36),introduced(definition,[new_symbols(definition,[sP620])])).
% 100.49/97.86  thf(sP621,plain,sP621 <=> ((~(sP496)) => (~(sP362))),introduced(definition,[new_symbols(definition,[sP621])])).
% 100.49/97.86  thf(sP622,plain,sP622 <=> ((~(sP387)) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP622])])).
% 100.49/97.86  thf(sP623,plain,sP623 <=> ((~(sP94)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP623])])).
% 100.49/97.86  thf(sP624,plain,sP624 <=> ((~(sP568)) => (~(sP262))),introduced(definition,[new_symbols(definition,[sP624])])).
% 100.49/97.86  thf(sP625,plain,sP625 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((sP235 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((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,[sP625])])).
% 100.49/97.86  thf(sP626,plain,sP626 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP626])])).
% 100.49/97.86  thf(sP627,plain,sP627 <=> ((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,[sP627])])).
% 100.49/97.86  thf(sP628,plain,sP628 <=> ((~(sP115)) => (~(sP435))),introduced(definition,[new_symbols(definition,[sP628])])).
% 100.49/97.86  thf(sP629,plain,sP629 <=> ((~(sP252)) => (~(sP288))),introduced(definition,[new_symbols(definition,[sP629])])).
% 100.49/97.86  thf(sP630,plain,sP630 <=> ((~(sP471)) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP630])])).
% 100.49/97.86  thf(sP631,plain,sP631 <=> (sP362 => (~(sP368))),introduced(definition,[new_symbols(definition,[sP631])])).
% 100.49/97.86  thf(sP632,plain,sP632 <=> ((~(sP230)) => (~(sP510))),introduced(definition,[new_symbols(definition,[sP632])])).
% 100.49/97.86  thf(sP633,plain,sP633 <=> ((~(sP286)) => (~(sP490))),introduced(definition,[new_symbols(definition,[sP633])])).
% 100.49/97.86  thf(sP634,plain,sP634 <=> (sP510 => (~(sP166))),introduced(definition,[new_symbols(definition,[sP634])])).
% 100.49/97.86  thf(sP635,plain,sP635 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP635])])).
% 100.49/97.86  thf(sP636,plain,sP636 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP636])])).
% 100.49/97.86  thf(sP637,plain,sP637 <=> ((~(sP237)) => (~(sP149))),introduced(definition,[new_symbols(definition,[sP637])])).
% 100.49/97.86  thf(sP638,plain,sP638 <=> ((~(sP150)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP638])])).
% 100.49/97.86  thf(sP639,plain,sP639 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP639])])).
% 100.49/97.86  thf(sP640,plain,sP640 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP640])])).
% 100.49/97.86  thf(sP641,plain,sP641 <=> (sP454 => sP533),introduced(definition,[new_symbols(definition,[sP641])])).
% 100.49/97.86  thf(sP642,plain,sP642 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP642])])).
% 100.49/97.86  thf(sP643,plain,sP643 <=> ((~(sP392)) => (~(sP364))),introduced(definition,[new_symbols(definition,[sP643])])).
% 100.49/97.86  thf(sP644,plain,sP644 <=> ((~(((~(sP96)) => (~(sP243))))) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP644])])).
% 100.49/97.86  thf(sP645,plain,sP645 <=> ((~(sP417)) => (~(sP221))),introduced(definition,[new_symbols(definition,[sP645])])).
% 100.49/97.86  thf(sP646,plain,sP646 <=> ((~(sP437)) => (~(sP122))),introduced(definition,[new_symbols(definition,[sP646])])).
% 100.49/97.86  thf(sP647,plain,sP647 <=> (![X1:$i]:((~(((~(sP609)) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP647])])).
% 100.49/97.86  thf(sP648,plain,sP648 <=> ((~(sP28)) => (~(sP63))),introduced(definition,[new_symbols(definition,[sP648])])).
% 100.49/97.86  thf(sP649,plain,sP649 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP649])])).
% 100.49/97.86  thf(sP650,plain,sP650 <=> ((~(sP300)) => (~(sP520))),introduced(definition,[new_symbols(definition,[sP650])])).
% 100.49/97.86  thf(sP651,plain,sP651 <=> ((~(sP133)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP651])])).
% 100.49/97.86  thf(sP652,plain,sP652 <=> (![X1:$i]:((~(((~(sP298)) => (~(((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,[sP652])])).
% 100.49/97.86  thf(sP653,plain,sP653 <=> ((~(sP298)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP653])])).
% 100.49/97.86  thf(sP654,plain,sP654 <=> (![X1:$i]:((~(((~(sP43)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP654])])).
% 100.49/97.86  thf(sP655,plain,sP655 <=> (![X1:$i]:((~(((~(sP632)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP655])])).
% 100.49/97.86  thf(sP656,plain,sP656 <=> ((~(sP466)) => sP490),introduced(definition,[new_symbols(definition,[sP656])])).
% 100.49/97.86  thf(sP657,plain,sP657 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP657])])).
% 100.49/97.86  thf(sP658,plain,sP658 <=> (sP145 => (~(sP649))),introduced(definition,[new_symbols(definition,[sP658])])).
% 100.49/97.86  thf(sP659,plain,sP659 <=> ((~(sP168)) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP659])])).
% 100.49/97.86  thf(sP660,plain,sP660 <=> (sP433 => (~(sP517))),introduced(definition,[new_symbols(definition,[sP660])])).
% 100.49/97.86  thf(sP661,plain,sP661 <=> ((~(sP525)) => (~(sP118))),introduced(definition,[new_symbols(definition,[sP661])])).
% 100.49/97.86  thf(sP662,plain,sP662 <=> ((~(sP21)) => (~(sP657))),introduced(definition,[new_symbols(definition,[sP662])])).
% 100.49/97.86  thf(sP663,plain,sP663 <=> ((~(sP197)) => (~(sP173))),introduced(definition,[new_symbols(definition,[sP663])])).
% 100.49/97.86  thf(sP664,plain,sP664 <=> ((~(sP592)) => sP33),introduced(definition,[new_symbols(definition,[sP664])])).
% 100.49/97.86  thf(sP665,plain,sP665 <=> ((~(sP558)) => sP520),introduced(definition,[new_symbols(definition,[sP665])])).
% 100.49/97.86  thf(sP666,plain,sP666 <=> (![X1:$i]:((~(((~(sP591)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP666])])).
% 100.49/97.86  thf(sP667,plain,sP667 <=> ((~(sP486)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP667])])).
% 100.49/97.86  thf(sP668,plain,sP668 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP668])])).
% 100.49/97.86  thf(sP669,plain,sP669 <=> (sP427 => (~(sP262))),introduced(definition,[new_symbols(definition,[sP669])])).
% 100.49/97.86  thf(sP670,plain,sP670 <=> ((~(sP96)) => (~(sP243))),introduced(definition,[new_symbols(definition,[sP670])])).
% 100.49/97.86  thf(sP671,plain,sP671 <=> ((~(sP295)) => (~(sP549))),introduced(definition,[new_symbols(definition,[sP671])])).
% 100.49/97.86  thf(sP672,plain,sP672 <=> (![X1:$i]:((~(((~(sP283)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP672])])).
% 100.49/97.86  thf(sP673,plain,sP673 <=> (sP3 => (~(sP498))),introduced(definition,[new_symbols(definition,[sP673])])).
% 100.49/97.86  thf(sP674,plain,sP674 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP674])])).
% 100.49/97.86  thf(sP675,plain,sP675 <=> (![X1:$i]:((~((sP433 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP675])])).
% 100.49/97.86  thf(sP676,plain,sP676 <=> (![X1:$i]:((~((sP275 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP676])])).
% 100.49/97.86  thf(sP677,plain,sP677 <=> ((~(sP653)) => (~(sP173))),introduced(definition,[new_symbols(definition,[sP677])])).
% 100.49/97.86  thf(sP678,plain,sP678 <=> (sP427 => (~(sP364))),introduced(definition,[new_symbols(definition,[sP678])])).
% 100.49/97.86  thf(sP679,plain,sP679 <=> (sP150 => sP454),introduced(definition,[new_symbols(definition,[sP679])])).
% 100.49/97.86  thf(sP680,plain,sP680 <=> ((~(sP480)) => (~(sP235))),introduced(definition,[new_symbols(definition,[sP680])])).
% 100.49/97.86  thf(sP681,plain,sP681 <=> (sP118 => (~(sP427))),introduced(definition,[new_symbols(definition,[sP681])])).
% 100.49/97.86  thf(sP682,plain,sP682 <=> (![X1:$i]:((~(((~(sP429)) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP682])])).
% 100.49/97.86  thf(sP683,plain,sP683 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP683])])).
% 100.49/97.86  thf(sP684,plain,sP684 <=> ((~(sP436)) => (~(sP46))),introduced(definition,[new_symbols(definition,[sP684])])).
% 100.49/97.86  thf(sP685,plain,sP685 <=> ((~(sP137)) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP685])])).
% 100.49/97.86  thf(sP686,plain,sP686 <=> (sP243 => (~(sP166))),introduced(definition,[new_symbols(definition,[sP686])])).
% 100.49/97.86  thf(sP687,plain,sP687 <=> ((~(sP638)) => sP68),introduced(definition,[new_symbols(definition,[sP687])])).
% 100.49/97.86  thf(sP688,plain,sP688 <=> ((~(sP458)) => (~(sP427))),introduced(definition,[new_symbols(definition,[sP688])])).
% 100.49/97.86  thf(sP689,plain,sP689 <=> (![X1:$i]:((~((sP90 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP689])])).
% 100.49/97.86  thf(sP690,plain,sP690 <=> ((~(sP479)) => (~(sP529))),introduced(definition,[new_symbols(definition,[sP690])])).
% 100.49/97.86  thf(sP691,plain,sP691 <=> ((~(sP357)) => (~(sP563))),introduced(definition,[new_symbols(definition,[sP691])])).
% 100.49/97.86  thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))).
% 100.49/97.86  thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))).
% 100.49/97.86  thf(h0,assumption,(~((sP1 => (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))),introduced(assumption,[])).
% 100.49/97.86  thf(h1,assumption,sP1,introduced(assumption,[])).
% 100.49/97.86  thf(h2,assumption,(~((![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))))),introduced(assumption,[])).
% 100.49/97.86  thf(h3,assumption,sP313,introduced(assumption,[])).
% 100.49/97.86  thf(1,plain,((~(sP437) | ~(sP145)) | ~(sP287)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(2,plain,((~(sP658) | ~(sP145)) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(3,plain,((~(sP536) | ~(sP33)) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(4,plain,((~(sP202) | ~(sP490)) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(5,plain,((~(sP244) | ~(sP490)) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(6,plain,((~(sP299) | ~(sP490)) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(7,plain,((~(sP436) | ~(sP221)) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(8,plain,((~(sP335) | ~(sP221)) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(9,plain,((~(sP634) | ~(sP510)) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(10,plain,((~(sP253) | ~(sP510)) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(11,plain,((~(sP401) | ~(sP510)) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(12,plain,((~(sP600) | ~(sP510)) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(13,plain,((~(sP686) | ~(sP243)) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(14,plain,((~(sP21) | ~(sP243)) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(15,plain,((~(sP418) | ~(sP243)) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(16,plain,((~(sP521) | ~(sP243)) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(17,plain,((~(sP276) | ~(sP529)) | ~(sP159)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(18,plain,((~(sP272) | ~(sP529)) | ~(sP143)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(19,plain,((~(sP336) | ~(sP233)) | ~(sP529)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(20,plain,((~(sP137) | ~(sP143)) | ~(sP233)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(21,plain,((~(sP211) | ~(sP118)) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(22,plain,((~(sP681) | ~(sP118)) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(23,plain,((~(sP78) | ~(sP118)) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(24,plain,((~(sP669) | ~(sP427)) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(25,plain,((~(sP116) | ~(sP427)) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(26,plain,((~(sP678) | ~(sP427)) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(27,plain,((~(sP96) | ~(sP262)) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(28,plain,((~(sP258) | ~(sP262)) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(29,plain,((~(sP286) | ~(sP262)) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(30,plain,((~(sP66) | ~(sP427)) | ~(sP462)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(31,plain,((~(sP483) | ~(sP364)) | ~(sP462)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(32,plain,((~(sP474) | ~(sP674)) | ~(sP287)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(33,plain,((~(sP88) | ~(sP649)) | ~(sP287)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(34,plain,((~(sP201) | sP521) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(35,plain,((~(sP249) | sP418) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(36,plain,((~(sP662) | sP21) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(37,plain,((~(sP530) | sP686) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(38,plain,((~(sP281) | sP600) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(39,plain,((~(sP568) | sP401) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(40,plain,((~(sP439) | sP253) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(41,plain,((~(sP139) | sP634) | ~(sP462)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(42,plain,((~(sP109) | sP335) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(43,plain,((~(sP684) | sP436) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(44,plain,((~(sP138) | sP299) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(45,plain,((~(sP231) | sP244) | ~(sP515)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(46,plain,((~(sP112) | sP202) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(47,plain,((~(sP308) | sP536) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(48,plain,((~(sP285) | sP658) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(49,plain,((~(sP646) | sP437) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(50,plain,((~(sP45) | ~(sP649)) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(51,plain,((~(sP315) | ~(sP649)) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(52,plain,((~(sP540) | ~(sP649)) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(53,plain,((~(sP230) | ~(sP235)) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(54,plain,((~(sP417) | ~(sP235)) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(55,plain,((~(sP576) | ~(sP235)) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(56,plain,((~(sP6) | ~(sP674)) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(57,plain,((~(sP434) | ~(sP674)) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(58,plain,((~(sP452) | ~(sP674)) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(59,plain,((~(sP685) | sP137) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(60,plain,((~(sP575) | sP336) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(61,plain,((~(sP44) | sP272) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(62,plain,((~(sP29) | sP276) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(63,plain,((~(sP354) | ~(sP657)) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(64,plain,((~(sP446) | ~(sP588)) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(65,plain,((~(sP382) | ~(sP46)) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(66,plain,((~(sP178) | ~(sP32)) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(67,plain,((~(sP479) | ~(sP32)) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(68,plain,((~(sP256) | ~(sP683)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(69,plain,((~(sP135) | sP148) | sP636),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(70,plain,((~(sP303) | sP152) | sP288),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(71,plain,((~(sP228) | sP398) | sP173),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(72,plain,((~(sP603) | sP640) | sP580),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(73,plain,((~(sP172) | sP504) | sP25),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(74,plain,((~(sP376) | ~(sP275)) | ~(sP270)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(75,plain,((~(sP182) | ~(sP275)) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(76,plain,((~(sP532) | ~(sP275)) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(77,plain,((~(sP366) | ~(sP330)) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(78,plain,((~(sP261) | ~(sP330)) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(79,plain,((~(sP542) | ~(sP451)) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(80,plain,((~(sP430) | ~(sP39)) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(81,plain,((~(sP365) | ~(sP270)) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(82,plain,((~(sP481) | ~(sP270)) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(83,plain,((~(sP551) | ~(sP270)) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(84,plain,((~(sP200) | sP646) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(85,plain,((~(sP94) | sP88) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(86,plain,((~(sP484) | sP474) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(87,plain,((~(sP284) | sP483) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(88,plain,((~(sP298) | sP66) | ~(sP500)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(89,plain,((~(sP633) | sP286) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(90,plain,((~(sP168) | sP258) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(91,plain,((~(sP670) | sP96) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(92,plain,((~(sP331) | sP678) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(93,plain,((~(sP283) | sP116) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(94,plain,((~(sP612) | sP669) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(95,plain,((~(sP80) | sP78) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(96,plain,((~(sP489) | sP681) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(97,plain,((~(sP206) | sP211) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(98,plain,((~(sP596) | sP285) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(99,plain,((~(sP184) | sP308) | ~(sP63)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(100,plain,((~(sP57) | sP112) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(101,plain,((~(sP199) | sP112) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(102,plain,((~(sP17) | sP231) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(103,plain,((~(sP147) | sP138) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(104,plain,((~(sP338) | sP684) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(105,plain,((~(sP62) | sP109) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(106,plain,((~(sP210) | sP139) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(107,plain,((~(sP252) | sP139) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(108,plain,((~(sP486) | sP139) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(109,plain,((~(sP546) | sP439) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(110,plain,((~(sP422) | sP568) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(111,plain,((~(sP624) | sP568) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(112,plain,((~(sP165) | sP281) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(113,plain,((~(sP115) | sP281) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(114,plain,((~(sP114) | sP281) | ~(sP462)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(115,plain,((~(sP277) | sP530) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(116,plain,((~(sP238) | sP530) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(117,plain,((~(sP189) | sP662) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(118,plain,((~(sP554) | sP662) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(119,plain,((~(sP133) | sP249) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(120,plain,((~(sP374) | sP249) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(121,plain,((~(sP219) | sP201) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(122,plain,((~(sP198) | sP452) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(123,plain,((~(sP438) | sP434) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(124,plain,((~(sP591) | sP6) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(125,plain,((~(sP185) | sP576) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(126,plain,((~(sP645) | sP417) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(127,plain,((~(sP632) | sP230) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(128,plain,((~(sP461) | sP540) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(129,plain,((~(sP322) | sP315) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(130,plain,((~(sP567) | sP45) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(131,plain,((~(sP294) | sP382) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(132,plain,((~(sP429) | sP446) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(133,plain,((~(sP225) | sP354) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(134,plain,((~(sP573) | sP200) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(135,plain,((~(sP177) | sP551) | ~(sP683)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(136,plain,((~(sP449) | sP481) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(137,plain,((~(sP48) | sP365) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(138,plain,((~(sP52) | sP430) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(139,plain,((~(sP473) | sP542) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(140,plain,((~(sP242) | sP261) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(141,plain,((~(sP326) | sP366) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(142,plain,((~(sP51) | sP532) | ~(sP529)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(143,plain,((~(sP181) | sP182) | ~(sP233)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(144,plain,((~(sP297) | sP376) | ~(sP143)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(145,plain,(~(sP58) | sP29),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(146,plain,(~(sP58) | sP44),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(147,plain,(~(sP416) | sP575),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(148,plain,(~(sP353) | sP685),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(149,plain,((~(sP50) | sP172) | sP529),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(150,plain,((~(sP620) | sP603) | sP36),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(151,plain,((~(sP269) | sP228) | sP233),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(152,plain,((~(sP337) | sP303) | sP143),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(153,plain,((~(sP42) | sP135) | sP159),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(154,plain,((~(sP61) | sP256) | ~(sP529)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(155,plain,((~(sP690) | sP479) | ~(sP529)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(156,plain,((~(sP550) | sP178) | ~(sP143)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(157,plain,((~(sP590) | sP206) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(158,plain,((~(sP31) | sP206) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(159,plain,((~(sP236) | sP489) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(160,plain,((~(sP480) | sP489) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(161,plain,((~(sP217) | sP80) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(162,plain,((~(sP220) | sP612) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(163,plain,((~(sP342) | sP283) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(164,plain,((~(sP577) | sP331) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(165,plain,((~(sP65) | sP670) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(166,plain,((~(sP644) | sP670) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(167,plain,((~(sP599) | sP670) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(168,plain,((~(sP360) | sP168) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(169,plain,((~(sP659) | sP168) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(170,plain,((~(sP447) | sP633) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(171,plain,((~(sP340) | sP633) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(172,plain,((~(sP614) | sP298) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(173,plain,((~(sP653) | sP298) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(174,plain,((~(sP197) | sP284) | ~(sP515)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(175,plain,((~(sP399) | ~(sP90)) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(176,plain,((~(sP470) | ~(sP90)) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(177,plain,((~(sP117) | sP484) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(178,plain,((~(sP623) | sP94) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(179,plain,((~(sP16) | ~(sP549)) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(180,plain,((~(sP499) | ~(sP549)) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(181,plain,((~(sP411) | ~(sP549)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(182,plain,((~(sP76) | sP219) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(183,plain,((~(sP477) | sP374) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(184,plain,((~(sP651) | sP133) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(185,plain,((~(sP310) | sP554) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(186,plain,((~(sP405) | sP189) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(187,plain,((~(sP459) | sP238) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(188,plain,((~(sP539) | sP277) | ~(sP636)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(189,plain,((~(sP469) | sP114) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(190,plain,((~(sP628) | sP115) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(191,plain,((~(sP450) | sP165) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(192,plain,((~(sP193) | sP624) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(193,plain,((~(sP229) | sP422) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(194,plain,((~(sP579) | sP546) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(195,plain,((~(sP667) | sP486) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(196,plain,((~(sP629) | sP252) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(197,plain,((~(sP153) | sP210) | ~(sP636)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(198,plain,((~(sP598) | sP62) | ~(sP435)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(199,plain,((~(sP156) | sP338) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(200,plain,((~(sP321) | sP147) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(201,plain,((~(sP102) | sP17) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(202,plain,((~(sP176) | sP199) | ~(sP25)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(203,plain,((~(sP120) | sP57) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(204,plain,((~(sP34) | sP184) | ~(sP580)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(205,plain,((~(sP246) | sP596) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(206,plain,((~(sP290) | ~(sP498)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(207,plain,((~(sP363) | ~(sP498)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(208,plain,((~(sP318) | sP348) | sP144),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(209,plain,((~(sP20) | sP604) | sP515),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(210,plain,((~(sP404) | sP302) | sP63),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(211,plain,((~(sP442) | sP587) | sP435),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(212,plain,((~(sP426) | sP154) | sP122),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(213,plain,((~(sP373) | sP567) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(214,plain,((~(sP35) | sP567) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(215,plain,((~(sP392) | sP322) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(216,plain,((~(sP525) | sP322) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(217,plain,((~(sP458) | sP322) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(218,plain,((~(sP488) | sP461) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(219,plain,((~(sP538) | sP632) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(220,plain,((~(sP60) | sP645) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(221,plain,((~(sP523) | sP645) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(222,plain,((~(sP28) | sP185) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(223,plain,((~(sP27) | sP185) | ~(sP166)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(224,plain,((~(sP85) | sP591) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(225,plain,((~(sP151) | sP438) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(226,plain,((~(sP247) | sP198) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(227,plain,((~(sP8) | sP494) | sP287),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(228,plain,((~(sP578) | ~(sP520)) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(229,plain,((~(sP468) | ~(sP433)) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(230,plain,((~(sP111) | ~(sP355)) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(231,plain,((~(sP562) | ~(sP355)) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(232,plain,((~(sP589) | ~(sP355)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(233,plain,((~(sP296) | ~(sP355)) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(234,plain,((~(sP192) | sP225) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(235,plain,((~(sP12) | sP429) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(236,plain,((~(sP519) | sP429) | ~(sP287)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(237,plain,((~(sP260) | ~(sP440)) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(238,plain,((~(sP305) | ~(sP440)) | ~(sP433)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(239,plain,((~(sP130) | ~(sP440)) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(240,plain,((~(sP2) | ~(sP440)) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(241,plain,((~(sP390) | sP294) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(242,plain,((~(sP9) | sP411) | ~(sP36)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(243,plain,((~(sP343) | sP499) | ~(sP233)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(244,plain,((~(sP317) | sP16) | ~(sP143)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(245,plain,((~(sP407) | sP623) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(246,plain,((~(sP606) | sP117) | ~(sP288)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(247,plain,((~(sP127) | sP470) | ~(sP529)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(248,plain,((~(sP259) | sP399) | ~(sP143)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(249,plain,((~(sP663) | sP197) | ~(sP173)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(250,plain,((~(sP677) | sP653) | ~(sP173)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(251,plain,((~(sP503) | sP614) | ~(sP636)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(252,plain,((~(sP108) | sP340) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(253,plain,((~(sP320) | sP447) | ~(sP515)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(254,plain,((~(sP548) | sP659) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(255,plain,((~(sP565) | sP360) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(256,plain,((~(sP47) | sP599) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(257,plain,((~(sP24) | sP644) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(258,plain,((~(sP107) | sP65) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(259,plain,((~(sP561) | sP577) | ~(sP515)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(260,plain,((~(sP617) | sP342) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(261,plain,((~(sP394) | sP220) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(262,plain,((~(sP506) | sP217) | ~(sP515)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(263,plain,((~(sP680) | sP480) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(264,plain,((~(sP424) | sP236) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(265,plain,((~(sP528) | sP31) | ~(sP510)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(266,plain,((~(sP595) | sP590) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(267,plain,((~(sP207) | ~(sP46)) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(268,plain,((~(sP216) | ~(sP657)) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(269,plain,((~(sP513) | ~(sP588)) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(270,plain,((~(sP92) | ~(sP46)) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(271,plain,((~(sP257) | sP468) | ~(sP90)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(272,plain,((~(sP125) | sP578) | ~(sP683)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(273,plain,(~(sP384) | sP550),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(274,plain,(~(sP384) | sP690),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(275,plain,((~(sP214) | sP8) | sP683),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(276,plain,(~(sP19) | sP61),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(277,plain,(~(sP140) | sP42),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(278,plain,(~(sP140) | sP337),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(279,plain,(~(sP140) | sP269),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(280,plain,(~(sP140) | sP620),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(281,plain,(~(sP140) | sP50),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(282,plain,(~(sP101) | sP353),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(283,plain,(~(sP101) | sP416),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(284,plain,(~(sP101) | sP58),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(285,plain,((~(sP492) | sP247) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(286,plain,((~(sP377) | sP151) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(287,plain,((~(sP334) | sP85) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(288,plain,((~(sP155) | sP27) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(289,plain,((~(sP648) | sP28) | ~(sP63)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(290,plain,((~(sP358) | sP523) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(291,plain,((~(sP527) | sP60) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(292,plain,((~(sP158) | sP538) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(293,plain,((~(sP333) | sP488) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(294,plain,((~(sP688) | sP458) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(295,plain,((~(sP661) | sP525) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(296,plain,((~(sP643) | sP392) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(297,plain,((~(sP512) | sP35) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(298,plain,((~(sP616) | sP373) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(299,plain,(~(sP676) | sP297),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(300,plain,(~(sP676) | sP181),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(301,plain,(~(sP676) | sP51),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(302,plain,(~(sP406) | sP326),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(303,plain,(~(sP406) | sP242),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(304,plain,(~(sP413) | sP473),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(305,plain,(~(sP396) | sP52),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(306,plain,(~(sP314) | sP48),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(307,plain,(~(sP314) | sP449),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(308,plain,(~(sP314) | sP177),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(309,plain,((~(sP378) | sP426) | sP275),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(310,plain,((~(sP619) | sP442) | sP330),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(311,plain,((~(sP560) | sP404) | sP451),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(312,plain,((~(sP316) | sP20) | sP39),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(313,plain,((~(sP250) | sP318) | sP270),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(314,plain,((~(sP332) | ~(sP148)) | sP587),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(315,plain,((~(sP209) | ~(sP504)) | sP302),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(316,plain,((~(sP54) | ~(sP152)) | sP604),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(317,plain,((~(sP445) | ~(sP640)) | sP348),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(318,plain,((~(sP432) | sP363) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(319,plain,((~(sP556) | sP290) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(320,plain,(~(sP485) | sP573),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(321,plain,(~(sP106) | sP246),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(322,plain,((~(sP23) | sP390) | ~(sP144)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(323,plain,((~(sP397) | sP2) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(324,plain,((~(sP312) | sP130) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(325,plain,((~(sP350) | sP305) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(326,plain,((~(sP352) | sP260) | ~(sP270)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(327,plain,(~(sP518) | sP34),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(328,plain,((~(sP386) | sP519) | ~(sP122)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(329,plain,((~(sP301) | sP12) | ~(sP63)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(330,plain,((~(sP537) | sP192) | ~(sP63)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(331,plain,((~(sP464) | sP296) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(332,plain,((~(sP104) | sP589) | ~(sP451)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(333,plain,((~(sP367) | sP562) | ~(sP39)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(334,plain,((~(sP547) | sP111) | ~(sP270)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(335,plain,(~(sP265) | sP120),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(336,plain,(~(sP265) | sP176),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(337,plain,(~(sP87) | sP102),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(338,plain,(~(sP534) | sP321),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(339,plain,(~(sP15) | sP156),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(340,plain,(~(sP341) | sP598),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(341,plain,(~(sP602) | sP153),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(342,plain,(~(sP602) | sP629),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(343,plain,(~(sP602) | sP667),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(344,plain,(~(sP457) | sP579),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(345,plain,(~(sP83) | sP229),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(346,plain,(~(sP83) | sP193),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(347,plain,(~(sP273) | sP450),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(348,plain,(~(sP273) | sP628),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(349,plain,(~(sP273) | sP469),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(350,plain,(~(sP13) | sP539),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(351,plain,(~(sP13) | sP459),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(352,plain,(~(sP514) | sP405),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(353,plain,(~(sP514) | sP310),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(354,plain,(~(sP421) | sP651),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(355,plain,(~(sP421) | sP477),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(356,plain,(~(sP453) | sP76),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(357,plain,((~(sP89) | sP92) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(358,plain,((~(sP43) | sP513) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(359,plain,((~(sP609) | sP216) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(360,plain,((~(sP441) | sP207) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(361,plain,((~(sP167) | sP400) | sP500),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(362,plain,((~(sP566) | ~(sP41)) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(363,plain,((~(sP208) | ~(sP170)) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(364,plain,((~(sP161) | ~(sP563)) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(365,plain,((~(sP75) | sP627) | sP166),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(366,plain,((~(sP295) | ~(sP149)) | ~(sP683)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(367,plain,((~(sP428) | ~(sP517)) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(368,plain,((~(sP329) | sP370) | sP462),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(369,plain,((~(sP142) | ~(sP362)) | ~(sP90)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(370,plain,((~(sP212) | ~(sP544)) | ~(sP90)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(371,plain,((~(sP93) | ~(sP368)) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(372,plain,((~(sP72) | ~(sP368)) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(373,plain,((~(sP345) | ~(sP368)) | ~(sP410)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(374,plain,((~(sP180) | ~(sP410)) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(375,plain,((~(sP55) | ~(sP410)) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(376,plain,((~(sP505) | ~(sP410)) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(377,plain,((~(sP248) | ~(sP544)) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(378,plain,((~(sP351) | ~(sP544)) | ~(sP410)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(379,plain,((~(sP237) | ~(sP544)) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(380,plain,((~(sP637) | sP237) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(381,plain,((~(sP415) | sP351) | ~(sP68)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(382,plain,((~(sP267) | sP248) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(383,plain,((~(sP71) | sP505) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(384,plain,((~(sP497) | sP55) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(385,plain,((~(sP456) | sP180) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(386,plain,((~(sP359) | sP345) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(387,plain,((~(sP545) | sP72) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(388,plain,((~(sP531) | sP93) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(389,plain,(~(sP266) | sP595),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(390,plain,(~(sP266) | sP528),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(391,plain,(~(sP388) | sP424),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(392,plain,(~(sP388) | sP680),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(393,plain,(~(sP594) | sP506),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(394,plain,(~(sP482) | sP394),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(395,plain,(~(sP672) | sP617),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(396,plain,(~(sP325) | sP561),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(397,plain,(~(sP571) | sP107),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(398,plain,(~(sP571) | sP24),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(399,plain,(~(sP571) | sP47),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(400,plain,(~(sP543) | sP565),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(401,plain,(~(sP543) | sP548),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(402,plain,(~(sP508) | sP320),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(403,plain,(~(sP508) | sP108),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(404,plain,(~(sP652) | sP503),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(405,plain,(~(sP652) | sP677),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(406,plain,(~(sP100) | sP663),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(407,plain,((~(sP49) | sP212) | ~(sP683)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(408,plain,((~(sP593) | sP142) | ~(sP275)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(409,plain,(~(sP689) | sP259),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(410,plain,(~(sP689) | sP127),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(411,plain,((~(sP487) | sP329) | sP90),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(412,plain,(~(sP37) | sP606),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(413,plain,((~(sP555) | sP428) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(414,plain,(~(sP5) | sP407),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(415,plain,((~(sP671) | sP295) | ~(sP549)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(416,plain,((~(sP274) | sP75) | sP549),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(417,plain,((~(sP84) | sP161) | ~(sP32)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(418,plain,((~(sP467) | sP208) | ~(sP90)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(419,plain,((~(sP103) | sP566) | ~(sP683)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(420,plain,(~(sP105) | sP317),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(421,plain,(~(sP105) | sP343),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(422,plain,(~(sP105) | sP9),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(423,plain,((~(sP241) | sP167) | sP32),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(424,plain,((~(sP183) | sP441) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(425,plain,((~(sP311) | sP441) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(426,plain,((~(sP196) | ~(sP68)) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(427,plain,((~(sP501) | ~(sP68)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(428,plain,((~(sP74) | ~(sP68)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(429,plain,((~(sP69) | sP609) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(430,plain,((~(sP123) | sP609) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(431,plain,((~(sP403) | sP43) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(432,plain,((~(sP22) | sP43) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(433,plain,((~(sP240) | ~(sP517)) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(434,plain,((~(sP463) | ~(sP517)) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(435,plain,((~(sP251) | ~(sP517)) | ~(sP433)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(436,plain,((~(sP585) | sP89) | ~(sP118)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(437,plain,((~(sP124) | ~(sP149)) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(438,plain,((~(sP164) | ~(sP149)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(439,plain,((~(sP357) | ~(sP149)) | ~(sP68)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(440,plain,((~(sP673) | ~(sP3)) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(441,plain,((~(sP131) | sP626) | sP145),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(442,plain,((~(sP375) | ~(sP520)) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(443,plain,((~(sP496) | ~(sP433)) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(444,plain,((~(sP289) | sP264) | ~(sP145)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(445,plain,((~(sP664) | sP592) | sP33),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(446,plain,((~(sP175) | ~(sP41)) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(447,plain,((~(sP11) | ~(sP170)) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(448,plain,((~(sP179) | ~(sP563)) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(449,plain,((~(sP656) | sP466) | sP490),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(450,plain,((~(sP502) | sP493) | sP221),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(451,plain,((~(sP408) | sP40) | sP510),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(452,plain,((~(sP465) | sP278) | sP243),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(453,plain,(~(sP372) | sP453),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(454,plain,(~(sP372) | sP421),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(455,plain,(~(sP372) | sP514),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(456,plain,(~(sP372) | sP13),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(457,plain,(~(sP255) | sP273),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(458,plain,(~(sP255) | sP83),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(459,plain,(~(sP255) | sP457),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(460,plain,(~(sP255) | sP602),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(461,plain,(~(sP282) | sP341),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(462,plain,(~(sP282) | sP15),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(463,plain,((~(sP98) | sP465) | sP563),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(464,plain,((~(sP304) | sP408) | sP170),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(465,plain,((~(sP381) | sP502) | sP41),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(466,plain,((~(sP611) | ~(sP587)) | sP278),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(467,plain,((~(sP26) | ~(sP348)) | sP40),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(468,plain,((~(sP601) | ~(sP302)) | sP493),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(469,plain,((~(sP509) | ~(sP154)) | sP466),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(470,plain,((~(sP584) | sP656) | sP355),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(471,plain,(~(sP324) | sP534),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(472,plain,(~(sP324) | sP87),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(473,plain,(~(sP324) | sP265),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(474,plain,((~(sP136) | sP179) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(475,plain,((~(sP224) | sP11) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(476,plain,((~(sP431) | sP175) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(477,plain,(~(sP379) | sP547),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(478,plain,(~(sP379) | sP367),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(479,plain,(~(sP379) | sP104),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(480,plain,(~(sP379) | sP464),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(481,plain,((~(sP157) | ~(sP627)) | sP592),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(482,plain,((~(sP423) | sP664) | sP440),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(483,plain,(~(sP195) | sP537),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(484,plain,((~(sP190) | sP289) | ~(sP364)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(485,plain,(~(sP682) | sP301),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(486,plain,(~(sP682) | sP386),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(487,plain,(~(sP559) | sP518),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(488,plain,((~(sP621) | sP496) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(489,plain,((~(sP187) | sP375) | ~(sP498)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(490,plain,(~(sP569) | sP352),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(491,plain,(~(sP569) | sP350),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(492,plain,(~(sP569) | sP312),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(493,plain,(~(sP569) | sP397),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(494,plain,((~(sP129) | ~(sP400)) | sP626),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(495,plain,((~(sP213) | sP131) | sP498),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(496,plain,(~(sP574) | sP23),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(497,plain,(~(sP391) | sP106),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(498,plain,(~(sP391) | sP485),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(499,plain,((~(sP174) | sP673) | ~(sP362)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(500,plain,(~(sP516) | sP556),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(501,plain,(~(sP516) | sP432),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(502,plain,((~(sP163) | ~(sP370)) | sP398),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(503,plain,(~(sP668) | sP163),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(504,plain,(~(sP395) | sP445),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(505,plain,(~(sP395) | sP54),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(506,plain,(~(sP395) | sP209),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(507,plain,(~(sP395) | sP332),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(508,plain,(~(sP420) | sP250),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(509,plain,(~(sP420) | sP316),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(510,plain,(~(sP420) | sP560),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(511,plain,(~(sP420) | sP619),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(512,plain,(~(sP420) | sP378),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(513,plain,(~(sP186) | sP314),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(514,plain,(~(sP186) | sP396),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(515,plain,(~(sP186) | sP413),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(516,plain,(~(sP186) | sP406),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(517,plain,(~(sP186) | sP676),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(518,plain,((~(sP691) | sP357) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(519,plain,((~(sP526) | sP164) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(520,plain,((~(sP586) | sP124) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(521,plain,(~(sP134) | sP616),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(522,plain,(~(sP134) | sP512),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(523,plain,(~(sP226) | sP643),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(524,plain,(~(sP226) | sP661),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(525,plain,(~(sP226) | sP688),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(526,plain,(~(sP146) | sP333),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(527,plain,((~(sP188) | sP585) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(528,plain,((~(sP460) | sP251) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(529,plain,((~(sP160) | sP463) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(530,plain,((~(sP234) | sP240) | ~(sP355)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(531,plain,(~(sP655) | sP158),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(532,plain,(~(sP610) | sP527),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(533,plain,(~(sP610) | sP358),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(534,plain,(~(sP323) | sP648),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(535,plain,(~(sP323) | sP155),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(536,plain,((~(sP615) | sP22) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(537,plain,((~(sP171) | sP403) | ~(sP490)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(538,plain,((~(sP56) | sP123) | ~(sP243)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(539,plain,((~(sP347) | sP69) | ~(sP221)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(540,plain,((~(sP557) | sP74) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(541,plain,((~(sP582) | sP501) | ~(sP433)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(542,plain,((~(sP59) | sP196) | ~(sP440)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(543,plain,(~(sP666) | sP334),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(544,plain,(~(sP82) | sP377),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(545,plain,(~(sP10) | sP492),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(546,plain,((~(sP344) | sP311) | ~(sP235)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(547,plain,((~(sP570) | sP183) | ~(sP588)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(548,plain,((~(sP455) | ~(sP626)) | sP583),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(549,plain,((~(sP18) | ~(sP271)) | sP73),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(550,plain,((~(sP679) | ~(sP150)) | sP454),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(551,plain,(~(sP553) | sP101),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(552,plain,(~(sP642) | sP140),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(553,plain,(~(sP639) | sP19),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(554,plain,(~(sP280) | sP214),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(555,plain,(~(sP385) | sP384),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(556,plain,(~(sP349) | sP125),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(557,plain,(~(sP675) | sP257),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(558,plain,(~(sP223) | sP241),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(559,plain,(~(sP95) | sP105),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(560,plain,(~(sP541) | sP103),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(561,plain,(~(sP339) | sP467),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(562,plain,(~(sP245) | sP84),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(563,plain,(~(sP169) | sP274),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(564,plain,(~(sP4) | sP671),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(565,plain,(~(sP53) | sP5),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(566,plain,(~(sP572) | sP555),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(567,plain,(~(sP254) | sP37),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(568,plain,(~(sP327) | sP487),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(569,plain,(~(sP425) | sP689),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(570,plain,(~(sP319) | sP593),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(571,plain,(~(sP268) | sP49),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(572,plain,(~(sP597) | sP100),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(573,plain,(~(sP361) | sP652),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(574,plain,((~(sP328) | ~(sP494)) | sP194),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(575,plain,((~(sP141) | sP583) | sP262),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(576,plain,((~(sP581) | sP141) | sP368),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(577,plain,((~(sP215) | sP73) | sP427),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(578,plain,((~(sP511) | sP215) | sP410),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(579,plain,((~(sP613) | sP454) | sP118),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(580,plain,((~(sP162) | sP613) | sP544),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(581,plain,((~(sP128) | sP194) | sP364),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(582,plain,((~(sP64) | sP128) | sP362),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(583,plain,(~(sP414) | sP508),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(584,plain,(~(sP414) | sP543),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(585,plain,(~(sP414) | sP571),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(586,plain,(~(sP361) | sP325),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(587,plain,(~(sP361) | sP672),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(588,plain,(~(sP361) | sP482),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(589,plain,(~(sP524) | sP594),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(590,plain,(~(sP524) | sP388),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(591,plain,(~(sP524) | sP266),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(592,plain,(~(sP110) | sP531),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(593,plain,(~(sP110) | sP545),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(594,plain,(~(sP110) | sP359),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(595,plain,(~(sP205) | sP456),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(596,plain,(~(sP205) | sP497),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(597,plain,(~(sP205) | sP71),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(598,plain,(~(sP268) | sP267),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(599,plain,(~(sP268) | sP415),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(600,plain,(~(sP268) | sP637),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(601,plain,((~(sP631) | ~(sP362)) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(602,plain,((~(sP412) | sP631) | ~(sP330)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(603,plain,((~(sP448) | ~(sP362)) | ~(sP410)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(604,plain,((~(sP307) | sP448) | ~(sP451)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(605,plain,((~(sP291) | ~(sP362)) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(606,plain,((~(sP346) | sP291) | ~(sP270)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(607,plain,(~(sP319) | sP346),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(608,plain,(~(sP319) | sP307),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(609,plain,(~(sP319) | sP412),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(610,plain,(~(sP425) | sP319),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(611,plain,(~(sP425) | sP268),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(612,plain,(~(sP425) | sP205),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(613,plain,(~(sP425) | sP110),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(614,plain,(~(sP204) | sP597),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(615,plain,(~(sP204) | sP524),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(616,plain,(~(sP204) | sP361),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(617,plain,(~(sP204) | sP414),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(618,plain,(~(sP327) | sP64),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(619,plain,(~(sP327) | sP162),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(620,plain,(~(sP327) | sP511),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(621,plain,(~(sP327) | sP581),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(622,plain,(~(sP121) | sP328),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(623,plain,(~(sP121) | sP679),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(624,plain,(~(sP121) | sP18),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(625,plain,(~(sP121) | sP455),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(626,plain,((~(sP132) | ~(sP38)) | sP533),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(627,plain,((~(sP495) | ~(sP380)) | sP150),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(628,plain,((~(sP638) | sP150) | sP674),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(629,plain,((~(sP687) | sP638) | sP68),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(630,plain,(~(sP7) | sP570),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(631,plain,(~(sP7) | sP344),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(632,plain,(~(sP254) | sP10),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(633,plain,(~(sP254) | sP82),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(634,plain,(~(sP254) | sP666),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(635,plain,((~(sP371) | ~(sP3)) | ~(sP68)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(636,plain,((~(sP203) | sP371) | ~(sP410)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(637,plain,(~(sP97) | sP59),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(638,plain,(~(sP97) | sP582),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(639,plain,(~(sP97) | sP557),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(640,plain,((~(sP605) | ~(sP493)) | sP608),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(641,plain,((~(sP218) | ~(sP466)) | sP380),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(642,plain,((~(sP444) | sP380) | sP235),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(643,plain,((~(sP402) | sP444) | sP517),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(644,plain,(~(sP647) | sP347),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(645,plain,(~(sP647) | sP56),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(646,plain,((~(sP81) | sP264) | ~(sP649)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(647,plain,((~(sP263) | sP81) | ~(sP262)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(648,plain,(~(sP654) | sP171),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(649,plain,(~(sP654) | sP615),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(650,plain,(~(sP625) | sP323),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(651,plain,(~(sP625) | sP610),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(652,plain,(~(sP625) | sP655),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(653,plain,((~(sP660) | ~(sP433)) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(654,plain,((~(sP443) | sP660) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(655,plain,((~(sP232) | ~(sP520)) | ~(sP517)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(656,plain,((~(sP507) | sP232) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(657,plain,(~(sP572) | sP234),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(658,plain,(~(sP572) | sP160),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(659,plain,(~(sP572) | sP460),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(660,plain,((~(sP389) | ~(sP592)) | sP271),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(661,plain,((~(sP239) | sP271) | sP649),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(662,plain,((~(sP383) | sP239) | sP149),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(663,plain,(~(sP419) | sP188),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(664,plain,(~(sP53) | sP146),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(665,plain,(~(sP53) | sP226),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(666,plain,(~(sP53) | sP134),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(667,plain,((~(sP607) | ~(sP3)) | ~(sP149)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(668,plain,((~(sP227) | sP607) | ~(sP368)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(669,plain,(~(sP4) | sP586),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(670,plain,(~(sP4) | sP526),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(671,plain,(~(sP4) | sP691),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(672,plain,(~(sP553) | sP186),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(673,plain,(~(sP642) | sP420),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(674,plain,(~(sP1) | sP395),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(675,plain,(~(sP313) | ~(sP398)),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(676,plain,(~(sP639) | sP516),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(677,plain,(~(sP564) | sP174),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(678,plain,(~(sP191) | sP391),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(679,plain,(~(sP306) | sP574),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(680,plain,(~(sP280) | sP213),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(681,plain,(~(sP369) | sP129),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(682,plain,(~(sP385) | sP569),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(683,plain,(~(sP349) | sP187),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(684,plain,(~(sP675) | sP621),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(685,plain,(~(sP472) | sP559),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(686,plain,(~(sP91) | sP682),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(687,plain,(~(sP475) | sP190),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(688,plain,(~(sP635) | sP195),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(689,plain,(~(sP223) | sP423),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(690,plain,(~(sP535) | sP157),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(691,plain,(~(sP95) | sP379),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(692,plain,(~(sP541) | sP431),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(693,plain,(~(sP339) | sP224),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(694,plain,(~(sP245) | sP136),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(695,plain,(~(sP67) | sP324),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(696,plain,(~(sP169) | sP584),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(697,plain,(~(sP30) | sP509),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(698,plain,((~(sP309) | ~(sP194)) | sP604),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(699,plain,(~(sP668) | sP309),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(700,plain,(~(sP30) | sP601),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(701,plain,(~(sP30) | sP26),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(702,plain,(~(sP30) | sP611),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(703,plain,(~(sP169) | sP381),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(704,plain,(~(sP169) | sP304),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(705,plain,(~(sP169) | sP98),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(706,plain,(~(sP67) | sP282),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(707,plain,(~(sP67) | sP255),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(708,plain,(~(sP67) | sP372),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(709,plain,((~(sP292) | ~(sP563)) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(710,plain,((~(sP99) | sP292) | ~(sP433)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(711,plain,((~(sP300) | ~(sP563)) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(712,plain,((~(sP650) | sP300) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(713,plain,(~(sP245) | sP650),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(714,plain,(~(sP245) | sP99),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(715,plain,((~(sP126) | ~(sP170)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(716,plain,((~(sP522) | sP126) | ~(sP410)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(717,plain,((~(sP618) | ~(sP170)) | ~(sP41)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(718,plain,((~(sP293) | sP618) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(719,plain,(~(sP339) | sP293),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(720,plain,(~(sP339) | sP522),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(721,plain,((~(sP14) | ~(sP583)) | sP40),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(722,plain,(~(sP668) | sP14),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(723,plain,((~(sP478) | ~(sP41)) | ~(sP563)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(724,plain,((~(sP70) | sP478) | ~(sP68)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(725,plain,((~(sP387) | ~(sP41)) | ~(sP170)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(726,plain,((~(sP622) | sP387) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(727,plain,(~(sP541) | sP622),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(728,plain,(~(sP541) | sP70),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(729,plain,(~(sP95) | sP541),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(730,plain,(~(sP95) | sP339),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(731,plain,(~(sP95) | sP245),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(732,plain,(~(sP553) | sP95),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(733,plain,(~(sP356) | sP67),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(734,plain,(~(sP642) | sP169),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(735,plain,(~(sP1) | sP30),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(736,plain,(~(sP313) | ~(sP604)),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(737,plain,(~(sP639) | sP4),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(738,plain,(~(sP564) | sP227),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(739,plain,(~(sP191) | sP53),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(740,plain,(~(sP306) | sP419),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(741,plain,(~(sP280) | sP383),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(742,plain,(~(sP369) | sP389),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(743,plain,(~(sP385) | sP572),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(744,plain,(~(sP349) | sP507),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(745,plain,(~(sP675) | sP443),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(746,plain,(~(sP472) | sP625),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(747,plain,(~(sP91) | sP654),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(748,plain,(~(sP475) | sP263),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(749,plain,(~(sP635) | sP647),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(750,plain,(~(sP223) | sP402),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(751,plain,(~(sP535) | sP218),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(752,plain,((~(sP279) | ~(sP278)) | sP38),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(753,plain,(~(sP535) | sP279),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(754,plain,(~(sP535) | sP605),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(755,plain,((~(sP86) | sP608) | sP657),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(756,plain,((~(sP119) | sP86) | sP433),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(757,plain,((~(sP558) | sP38) | sP588),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(758,plain,((~(sP665) | sP558) | sP520),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(759,plain,(~(sP223) | sP665),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(760,plain,(~(sP223) | sP119),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(761,plain,((~(sP79) | sP264) | ~(sP674)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(762,plain,((~(sP113) | sP79) | ~(sP427)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(763,plain,((~(sP77) | ~(sP588)) | ~(sP657)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(764,plain,((~(sP264) | sP77) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(765,plain,(~(sP475) | sP113),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(766,plain,(~(sP91) | sP475),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(767,plain,(~(sP472) | sP91),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(768,plain,(~(sP472) | sP635),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(769,plain,((~(sP552) | ~(sP433)) | ~(sP520)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(770,plain,((~(sP222) | sP552) | ~(sP544)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(771,plain,(~(sP675) | sP222),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(772,plain,((~(sP393) | ~(sP73)) | sP608),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(773,plain,(~(sP668) | sP393),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(774,plain,((~(sP471) | ~(sP520)) | ~(sP433)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(775,plain,((~(sP630) | sP471) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(776,plain,(~(sP349) | sP630),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(777,plain,(~(sP385) | sP349),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(778,plain,(~(sP385) | sP675),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(779,plain,(~(sP553) | sP385),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(780,plain,(~(sP356) | sP472),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(781,plain,(~(sP642) | sP223),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(782,plain,(~(sP1) | sP535),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(783,plain,(~(sP313) | ~(sP40)),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(784,plain,(~(sP639) | sP97),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(785,plain,(~(sP564) | sP203),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(786,plain,(~(sP191) | sP254),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(787,plain,(~(sP306) | sP7),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(788,plain,(~(sP280) | sP687),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(789,plain,(~(sP369) | sP495),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(790,plain,(~(sP369) | sP132),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(791,plain,((~(sP409) | sP533) | sP46),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(792,plain,((~(sP476) | sP409) | sP3),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(793,plain,(~(sP280) | sP476),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(794,plain,(~(sP191) | sP306),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(795,plain,(~(sP639) | sP564),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(796,plain,(~(sP553) | sP639),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(797,plain,(~(sP356) | sP191),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(798,plain,(~(sP642) | sP280),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(799,plain,(~(sP1) | sP369),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(800,plain,(~(sP313) | ~(sP608)),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(801,plain,((~(sP641) | ~(sP454)) | sP533),inference(prop_rule,[status(thm)],[])).
% 100.49/97.86  thf(802,plain,(~(sP668) | sP641),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(803,plain,(~(sP491) | sP668),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(804,plain,sP491,inference(eq_sym,[status(thm)],[])).
% 100.49/97.86  thf(805,plain,(~(sP313) | ~(sP533)),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(806,plain,(~(sP1) | sP121),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(807,plain,(~(sP642) | sP327),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(808,plain,(~(sP356) | sP204),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(809,plain,(~(sP553) | sP425),inference(all_rule,[status(thm)],[])).
% 100.49/97.86  thf(axb,axiom,sP553).
% 100.49/97.86  thf(axr,axiom,sP356).
% 100.49/97.86  thf(rb_cov,axiom,sP642).
% 100.49/97.86  thf(810,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,axb,axr,rb_cov,h1,h3])).
% 100.49/97.86  thf(811,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,810,h3])).
% 100.49/97.86  thf(812,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,811,h1,h2])).
% 100.49/97.86  thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))).
% 100.49/97.86  thf(813,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]).
% 100.49/97.86  thf(814,plain,$false,inference(tab_negall,[status(thm),tab_negall(discharge,[h0]),tab_negall(eigenvar,eigen__0)],[813,812,h0])).
% 100.49/97.86  % SZS output end Proof
%------------------------------------------------------------------------------