%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO004^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n016.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 19:29:28 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO004^1 : TPTP v8.1.0. Released v3.7.0.
% 0.06/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n016.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 16:03:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % SZS status Theorem
% 0.12/0.35  % Mode: mode213
% 0.12/0.35  % Inferences: 0
% 0.12/0.35  % SZS output start Proof
% 0.12/0.35  thf(ty_eigen__1, type, eigen__1 : $i).
% 0.12/0.35  thf(ty_eigen__0, type, eigen__0 : $i).
% 0.12/0.35  thf(sP1,plain,sP1 <=> (eigen__0 = eigen__1),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.35  thf(def_leibeq,definition,(leibeq = (^[X1:$i]:(^[X2:$i]:(![X3:$i>$o]:((X3 @ X1) => (X3 @ X2))))))).
% 0.12/0.35  thf(conj,conjecture,(![X1:$i]:(![X2:$i]:((![X3:$i>$o]:((X3 @ X1) => (X3 @ X2))) => (X1 = X2))))).
% 0.12/0.35  thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:((![X3:$i>$o]:((X3 @ X1) => (X3 @ X2))) => (X1 = X2)))))),inference(assume_negation,[status(cth)],[conj])).
% 0.12/0.35  thf(h1,assumption,(~((![X1:$i]:((![X2:$i>$o]:((X2 @ eigen__0) => (X2 @ X1))) => (eigen__0 = X1))))),introduced(assumption,[])).
% 0.12/0.35  thf(h2,assumption,(~(((![X1:$i>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))) => sP1))),introduced(assumption,[])).
% 0.12/0.35  thf(h3,assumption,(![X1:$i>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))),introduced(assumption,[])).
% 0.12/0.35  thf(h4,assumption,(~(sP1)),introduced(assumption,[])).
% 0.12/0.35  thf(1,plain,sP1,inference(normalize,[status(thm)],[h3]).
% 0.12/0.35  thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h3,h4,h2,h1,h0])],[1,h4])).
% 0.12/0.35  thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,2,h3,h4])).
% 0.12/0.35  thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,3,h2])).
% 0.12/0.35  thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,4,h1])).
% 0.12/0.35  thf(0,theorem,(![X1:$i]:(![X2:$i]:((![X3:$i>$o]:((X3 @ X1) => (X3 @ X2))) => (X1 = X2)))),inference(contra,[status(thm),contra(discharge,[h0])],[5,h0])).
% 0.12/0.35  % SZS output end Proof
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