%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO233^5 : 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 : n022.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 19:31:00 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYO233^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n022.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 : Fri Jul  8 17:18:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  % SZS status Theorem
% 0.12/0.36  % Mode: mode213
% 0.12/0.36  % Inferences: 2
% 0.12/0.36  % SZS output start Proof
% 0.12/0.36  thf(ty_eigen__0, type, eigen__0 : $i).
% 0.12/0.36  thf(ty_cM, type, cM : ($i>$i)).
% 0.12/0.36  thf(ty_cN, type, cN : ($i>$i)).
% 0.12/0.36  thf(sP1,plain,sP1 <=> (![X1:$i]:((cM @ X1) = (cN @ X1))),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.36  thf(sP2,plain,sP2 <=> ((cM @ eigen__0) = (cN @ eigen__0)),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.12/0.36  thf(cLEIBNIZ,conjecture,((![X1:$i]:(![X2:$i>$o]:((X2 @ (cM @ X1)) => (X2 @ (cN @ X1))))) => (cM = cN))).
% 0.12/0.36  thf(h0,negated_conjecture,(~(((![X1:$i]:(![X2:$i>$o]:((X2 @ (cM @ X1)) => (X2 @ (cN @ X1))))) => (cM = cN)))),inference(assume_negation,[status(cth)],[cLEIBNIZ])).
% 0.12/0.36  thf(h1,assumption,(![X1:$i]:(![X2:$i>$o]:((X2 @ (cM @ X1)) => (X2 @ (cN @ X1))))),introduced(assumption,[])).
% 0.12/0.36  thf(h2,assumption,(~((cM = cN))),introduced(assumption,[])).
% 0.12/0.36  thf(h3,assumption,(~(sP1)),introduced(assumption,[])).
% 0.12/0.36  thf(h4,assumption,(~(sP2)),introduced(assumption,[])).
% 0.12/0.36  thf(1,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
% 0.12/0.36  thf(2,plain,sP1,inference(normalize,[status(thm)],[h1]).
% 0.12/0.36  thf(3,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h3,h1,h2,h0])],[1,2,h4])).
% 0.12/0.36  thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h1,h2,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__0)],[h3,3,h4])).
% 0.12/0.36  thf(5,plain,$false,inference(tab_fe,[status(thm),assumptions([h1,h2,h0]),tab_fe(discharge,[h3])],[h2,4,h3])).
% 0.12/0.36  thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,5,h1,h2])).
% 0.12/0.36  thf(0,theorem,((![X1:$i]:(![X2:$i>$o]:((X2 @ (cM @ X1)) => (X2 @ (cN @ X1))))) => (cM = cN)),inference(contra,[status(thm),contra(discharge,[h0])],[6,h0])).
% 0.12/0.36  % SZS output end Proof
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