%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO304^5 : 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 : n004.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 : Thu Jul 21 19:31:21 EDT 2022

% Result   : Theorem 0.18s 0.35s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO304^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n004.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  9 00:07:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.35  % SZS status Theorem
% 0.18/0.35  % Mode: mode213
% 0.18/0.35  % Inferences: 0
% 0.18/0.35  % SZS output start Proof
% 0.18/0.35  thf(ty_a, type, a : $tType).
% 0.18/0.35  thf(ty_eigen__0, type, eigen__0 : ((a>a>$o)>$o)).
% 0.18/0.35  thf(sP1,plain,sP1 <=> (eigen__0 @ (=)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.18/0.35  thf(cE2_eq__pme,conjecture,(![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=))))).
% 0.18/0.35  thf(h0,negated_conjecture,(~((![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=)))))),inference(assume_negation,[status(cth)],[cE2_eq__pme])).
% 0.18/0.35  thf(h1,assumption,(~(((eigen__0 @ (^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))))) => sP1))),introduced(assumption,[])).
% 0.18/0.35  thf(h2,assumption,(eigen__0 @ (^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))))),introduced(assumption,[])).
% 0.18/0.35  thf(h3,assumption,(~(sP1)),introduced(assumption,[])).
% 0.18/0.35  thf(1,plain,sP1,inference(normalize,[status(thm)],[h2]).
% 0.18/0.35  thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h2,h3,h1,h0])],[1,h3])).
% 0.18/0.35  thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,2,h2,h3])).
% 0.18/0.35  thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,3,h1])).
% 0.18/0.35  thf(0,theorem,(![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=)))),inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])).
% 0.18/0.35  % SZS output end Proof
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