%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : LCL726^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:10:36 EDT 2022

% Result   : Theorem 33.23s 33.62s
% Output   : Proof 33.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL726^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 15:32:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 33.23/33.62  % SZS status Theorem
% 33.23/33.62  % Mode: mode473
% 33.23/33.62  % Inferences: 177
% 33.23/33.62  % SZS output start Proof
% 33.23/33.62  thf(ty_a, type, a : $tType).
% 33.23/33.62  thf(ty_eigen__0, type, eigen__0 : (((a>$o)>a)>a>$o)).
% 33.23/33.62  thf(sP1,plain,sP1 <=> (![X1:(a>$o)>a]:(~((![X2:a]:(~(((eigen__0 @ X1) @ X2))))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 33.23/33.62  thf(sP2,plain,sP2 <=> (![X1:a]:(~(((eigen__0 @ (@+)) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 33.23/33.62  thf(sP3,plain,sP3 <=> ((eigen__0 @ (@+)) @ (@+[X1:a]:((eigen__0 @ (@+)) @ X1))),introduced(definition,[new_symbols(definition,[sP3])])).
% 33.23/33.62  thf(sP4,plain,sP4 <=> (![X1:(a>$o)>a]:(~(((eigen__0 @ X1) @ (X1 @ (eigen__0 @ X1)))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 33.23/33.62  thf(cTHM534,conjecture,((![X1:(a>$o)>$o]:((![X2:a>$o]:((X1 @ X2) => (~((![X3:a]:(~((X2 @ X3)))))))) => (~((![X2:(a>$o)>a]:(~((![X3:a>$o]:((X1 @ X3) => (X3 @ (X2 @ X3))))))))))) => (![X1:((a>$o)>a)>a>$o]:((![X2:(a>$o)>a]:(~((![X3:a]:(~(((X1 @ X2) @ X3))))))) => (~((![X2:(a>$o)>a]:(~(((X1 @ X2) @ (X2 @ (X1 @ X2)))))))))))).
% 33.23/33.62  thf(h0,negated_conjecture,(~(((![X1:(a>$o)>$o]:((![X2:a>$o]:((X1 @ X2) => (~((![X3:a]:(~((X2 @ X3)))))))) => (~((![X2:(a>$o)>a]:(~((![X3:a>$o]:((X1 @ X3) => (X3 @ (X2 @ X3))))))))))) => (![X1:((a>$o)>a)>a>$o]:((![X2:(a>$o)>a]:(~((![X3:a]:(~(((X1 @ X2) @ X3))))))) => (~((![X2:(a>$o)>a]:(~(((X1 @ X2) @ (X2 @ (X1 @ X2))))))))))))),inference(assume_negation,[status(cth)],[cTHM534])).
% 33.23/33.62  thf(h1,assumption,(![X1:(a>$o)>$o]:((![X2:a>$o]:((X1 @ X2) => (~((![X3:a]:(~((X2 @ X3)))))))) => (~((![X2:(a>$o)>a]:(~((![X3:a>$o]:((X1 @ X3) => (X3 @ (X2 @ X3))))))))))),introduced(assumption,[])).
% 33.23/33.62  thf(h2,assumption,(~((![X1:((a>$o)>a)>a>$o]:((![X2:(a>$o)>a]:(~((![X3:a]:(~(((X1 @ X2) @ X3))))))) => (~((![X2:(a>$o)>a]:(~(((X1 @ X2) @ (X2 @ (X1 @ X2)))))))))))),introduced(assumption,[])).
% 33.23/33.62  thf(h3,assumption,(~((sP1 => (~(sP4))))),introduced(assumption,[])).
% 33.23/33.62  thf(h4,assumption,sP1,introduced(assumption,[])).
% 33.23/33.62  thf(h5,assumption,sP4,introduced(assumption,[])).
% 33.23/33.62  thf(1,plain,(sP3 | sP2),inference(choice_rule,[status(thm)],[])).
% 33.23/33.62  thf(2,plain,(~(sP1) | ~(sP2)),inference(all_rule,[status(thm)],[])).
% 33.23/33.62  thf(3,plain,(~(sP4) | ~(sP3)),inference(all_rule,[status(thm)],[])).
% 33.23/33.62  thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[1,2,3,h4,h5])).
% 33.23/33.62  thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,4,h4,h5])).
% 33.23/33.62  thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,5,h3])).
% 33.23/33.62  thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,6,h1,h2])).
% 33.23/33.62  thf(0,theorem,((![X1:(a>$o)>$o]:((![X2:a>$o]:((X1 @ X2) => (~((![X3:a]:(~((X2 @ X3)))))))) => (~((![X2:(a>$o)>a]:(~((![X3:a>$o]:((X1 @ X3) => (X3 @ (X2 @ X3))))))))))) => (![X1:((a>$o)>a)>a>$o]:((![X2:(a>$o)>a]:(~((![X3:a]:(~(((X1 @ X2) @ X3))))))) => (~((![X2:(a>$o)>a]:(~(((X1 @ X2) @ (X2 @ (X1 @ X2))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[7,h0])).
% 33.23/33.62  % SZS output end Proof
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