%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SET924^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n028.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 : Tue Jul 19 04:56:40 EDT 2022

% Result   : Theorem 1.97s 2.14s
% Output   : Proof 1.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET924^1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.11  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jul 10 12:00:57 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 1.97/2.14  % SZS status Theorem
% 1.97/2.14  % Mode: mode506
% 1.97/2.14  % Inferences: 0
% 1.97/2.14  % SZS output start Proof
% 1.97/2.14  thf(ty_mworld, type, mworld : $tType).
% 1.97/2.14  thf(ty_singleton, type, singleton : ($i>$i)).
% 1.97/2.14  thf(ty_mactual, type, mactual : mworld).
% 1.97/2.14  thf(ty_qmltpeq, type, qmltpeq : ($i>$i>mworld>$o)).
% 1.97/2.14  thf(ty_set_difference, type, set_difference : ($i>$i>$i)).
% 1.97/2.14  thf(ty_in, type, in : ($i>$i>mworld>$o)).
% 1.97/2.14  thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:((((qmltpeq @ ((set_difference @ (singleton @ X1)) @ X2)) @ (singleton @ X1)) @ mactual) = (~((((in @ X1) @ X2) @ mactual)))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 1.97/2.14  thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 1.97/2.14  thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 1.97/2.14  thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 1.97/2.14  thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 1.97/2.14  thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 1.97/2.14  thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 1.97/2.14  thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 1.97/2.14  thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))).
% 1.97/2.14  thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:((X1 @ X3) @ X2)))))).
% 1.97/2.14  thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(~(((X1 @ X3) @ X2)))))))))).
% 1.97/2.14  thf(t67_zfmisc_1,conjecture,sP1).
% 1.97/2.14  thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[t67_zfmisc_1])).
% 1.97/2.14  thf(l34_zfmisc_1,axiom,(mlocal @ (mforall_di @ (^[X1:$i]:(mforall_di @ (^[X2:$i]:((mequiv @ ((qmltpeq @ ((set_difference @ (singleton @ X1)) @ X2)) @ (singleton @ X1))) @ (mnot @ ((in @ X1) @ X2))))))))).
% 1.97/2.14  thf(1,plain,sP1,inference(preprocess,[status(thm)],[l34_zfmisc_1]).
% 1.97/2.14  thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h0])],[1,h0])).
% 1.97/2.14  thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[2,h0])).
% 1.97/2.14  % SZS output end Proof
%------------------------------------------------------------------------------