%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : SYO512^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n002.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 : Fri Sep  1 04:47:19 EDT 2023

% Result   : Theorem 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO512^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 03:00:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  % SZS status Theorem
% 0.13/0.39  % Mode: cade22grackle2xfee4
% 0.13/0.39  % Steps: 9
% 0.13/0.39  % SZS output start Proof
% 0.13/0.39  thf(ty_r, type, r : ($i>$i>$o)).
% 0.13/0.39  thf(ty_eigen__0, type, eigen__0 : $i).
% 0.13/0.39  thf(ty_eps, type, eps : (($i>$o)>$i)).
% 0.13/0.39  thf(sP1,plain,sP1 <=> ((r @ eigen__0) @ (eps @ (r @ eigen__0))),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.13/0.39  thf(sP2,plain,sP2 <=> (![X1:$i]:(~(((r @ eigen__0) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.13/0.39  thf(sP3,plain,sP3 <=> (![X1:$i]:(~((![X2:$i]:(~(((r @ X1) @ X2))))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.13/0.39  thf(claim,conjecture,(![X1:$i]:((r @ X1) @ (eps @ (r @ X1))))).
% 0.13/0.39  thf(h0,negated_conjecture,(~((![X1:$i]:((r @ X1) @ (eps @ (r @ X1)))))),inference(assume_negation,[status(cth)],[claim])).
% 0.13/0.39  thf(h1,assumption,(~(sP1)),introduced(assumption,[])).
% 0.13/0.39  thf(epschoice,axiom,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1))))).
% 0.13/0.39  thf(1,plain,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1)))),inference(preprocess,[status(thm)],[1]).
% 0.13/0.39  thf(2,plain,(sP1 | sP2),inference(choice_rule,[status(thm)],[1])).
% 0.13/0.39  thf(3,plain,(~(sP3) | ~(sP2)),inference(all_rule,[status(thm)],[])).
% 0.13/0.39  thf(rtotal,axiom,sP3).
% 0.13/0.39  thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[2,3,h1,rtotal])).
% 0.13/0.39  thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,4,h1])).
% 0.13/0.39  thf(0,theorem,(![X1:$i]:((r @ X1) @ (eps @ (r @ X1)))),inference(contra,[status(thm),contra(discharge,[h0])],[5,h0])).
% 0.13/0.39  % SZS output end Proof
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