TSTP Solution File: NUM561+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 : Mon Jul 18 11:42:02 EDT 2022

% Result   : Theorem 127.02s 123.28s
% Output   : Proof 127.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n018.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  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 18:49:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 127.02/123.28  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 127.02/123.28  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 127.11/123.29  
% 127.11/123.29  %-----------------------------------------------------
% 127.11/123.29  fof(m__, conjecture, aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 127.11/123.29  fof(mDefSub, definition, ! [_124758] : (aSet0(_124758) => ! [_124773] : (aSubsetOf0(_124773, _124758) <=> aSet0(_124773) & ! [_124798] : (aElementOf0(_124798, _124773) => aElementOf0(_124798, _124758)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSub)).
% 127.11/123.29  fof(mDomSet, axiom, ! [_125132] : (aFunction0(_125132) => aSet0(szDzozmdt0(_125132))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDomSet)).
% 127.11/123.29  fof(m__2911, hypothesis, aFunction0(xF), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2911)).
% 127.11/123.29  fof(m__2911_02, hypothesis, aElementOf0(xx, szDzozmdt0(xF)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2911_02)).
% 127.11/123.29  fof(mDefSImg, definition, ! [_125375] : (aFunction0(_125375) => ! [_125390] : (aSubsetOf0(_125390, szDzozmdt0(_125375)) => ! [_125412] : (_125412 = sdtlcdtrc0(_125375, _125390) <=> aSet0(_125412) & ! [_125440] : (aElementOf0(_125440, _125412) <=> ? [_125458] : (aElementOf0(_125458, _125390) & sdtlpdtrp0(_125375, _125458) = _125440))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSImg)).
% 127.11/123.29  
% 127.11/123.29  cnf(1, plain, [aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))], clausify(m__)).
% 127.11/123.29  cnf(2, plain, [-(sdtlcdtrc0(_43391, _43524) = sdtlcdtrc0(_43458, _43589)), _43391 = _43458, _43524 = _43589], theory(equality)).
% 127.11/123.29  cnf(3, plain, [-(sdtlpdtrp0(_44015, _44148) = sdtlpdtrp0(_44082, _44213)), _44015 = _44082, _44148 = _44213], theory(equality)).
% 127.11/123.29  cnf(4, plain, [_46840 = _46889, -(szDzozmdt0(_46840) = szDzozmdt0(_46889))], theory(equality)).
% 127.11/123.29  cnf(5, plain, [-(_37264 = _37264)], theory(equality)).
% 127.11/123.29  cnf(6, plain, [-(aElementOf0(_38568, _38699)), aElementOf0(_38501, _38634), _38501 = _38568, _38634 = _38699], theory(equality)).
% 127.11/123.29  cnf(7, plain, [aSet0(_50811), -(aSubsetOf0(_50915, _50811)), aSet0(_50915), -(aElementOf0(2 ^ [_50915, _50811], _50915))], clausify(mDefSub)).
% 127.11/123.29  cnf(8, plain, [aSet0(_50811), -(aSubsetOf0(_50915, _50811)), aSet0(_50915), aElementOf0(2 ^ [_50915, _50811], _50811)], clausify(mDefSub)).
% 127.11/123.29  cnf(9, plain, [aFunction0(_77672), -(aSet0(szDzozmdt0(_77672)))], clausify(mDomSet)).
% 127.11/123.29  cnf(10, plain, [-(aFunction0(xF))], clausify(m__2911)).
% 127.11/123.29  cnf(11, plain, [-(aElementOf0(xx, szDzozmdt0(xF)))], clausify(m__2911_02)).
% 127.11/123.29  cnf(12, plain, [aFunction0(_79673), aSubsetOf0(_79807, szDzozmdt0(_79673)), _79972 = sdtlcdtrc0(_79673, _79807), -(aElementOf0(_80187, _79972)), aElementOf0(_80313, _79807), sdtlpdtrp0(_79673, _80313) = _80187], clausify(mDefSImg)).
% 127.11/123.29  
% 127.11/123.29  cnf('1',plain,[aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))],start(1)).
% 127.11/123.29  cnf('1.1',plain,[-(aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))), aFunction0(xF), aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF)), sdtlcdtrc0(xF, szDzozmdt0(xF)) = sdtlcdtrc0(xF, szDzozmdt0(xF)), aElementOf0(xx, szDzozmdt0(xF)), sdtlpdtrp0(xF, xx) = sdtlpdtrp0(xF, xx)],extension(12,bind([[_79972, _79807, _79673, _80313, _80187], [sdtlcdtrc0(xF, szDzozmdt0(xF)), szDzozmdt0(xF), xF, xx, sdtlpdtrp0(xF, xx)]]))).
% 127.11/123.29  cnf('1.1.1',plain,[-(aFunction0(xF))],extension(10)).
% 127.11/123.29  cnf('1.1.2',plain,[-(aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF))), aSet0(szDzozmdt0(xF)), aSet0(szDzozmdt0(xF)), -(aElementOf0(2 ^ [szDzozmdt0(xF), szDzozmdt0(xF)], szDzozmdt0(xF)))],extension(7,bind([[_50811, _50915], [szDzozmdt0(xF), szDzozmdt0(xF)]]))).
% 127.11/123.29  cnf('1.1.2.1',plain,[-(aSet0(szDzozmdt0(xF))), aFunction0(xF)],extension(9,bind([[_77672], [xF]]))).
% 127.11/123.29  cnf('1.1.2.1.1',plain,[-(aFunction0(xF))],extension(10)).
% 127.11/123.29  cnf('1.1.2.2',plain,[-(aSet0(szDzozmdt0(xF))), aFunction0(xF)],extension(9,bind([[_77672], [xF]]))).
% 127.11/123.29  cnf('1.1.2.2.1',plain,[-(aFunction0(xF))],extension(10)).
% 127.11/123.29  cnf('1.1.2.3',plain,[aElementOf0(2 ^ [szDzozmdt0(xF), szDzozmdt0(xF)], szDzozmdt0(xF)), aSet0(szDzozmdt0(xF)), -(aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF))), aSet0(szDzozmdt0(xF))],extension(8,bind([[_50811, _50915], [szDzozmdt0(xF), szDzozmdt0(xF)]]))).
% 127.11/123.29  cnf('1.1.2.3.1',plain,[-(aSet0(szDzozmdt0(xF)))],lemmata('1.1.2')).
% 127.11/123.29  cnf('1.1.2.3.2',plain,[aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF))],reduction('1.1')).
% 127.11/123.29  cnf('1.1.2.3.3',plain,[-(aSet0(szDzozmdt0(xF)))],lemmata('1.1.2.3')).
% 127.11/123.29  cnf('1.1.3',plain,[-(sdtlcdtrc0(xF, szDzozmdt0(xF)) = sdtlcdtrc0(xF, szDzozmdt0(xF))), xF = xF, szDzozmdt0(xF) = szDzozmdt0(xF)],extension(2,bind([[_43391, _43458, _43524, _43589], [xF, xF, szDzozmdt0(xF), szDzozmdt0(xF)]]))).
% 127.11/123.29  cnf('1.1.3.1',plain,[-(xF = xF)],extension(5,bind([[_37264], [xF]]))).
% 127.11/123.29  cnf('1.1.3.2',plain,[-(szDzozmdt0(xF) = szDzozmdt0(xF)), xF = xF],extension(4,bind([[_46840, _46889], [xF, xF]]))).
% 127.11/123.29  cnf('1.1.3.2.1',plain,[-(xF = xF)],extension(5,bind([[_37264], [xF]]))).
% 127.11/123.29  cnf('1.1.4',plain,[-(aElementOf0(xx, szDzozmdt0(xF))), aElementOf0(xx, szDzozmdt0(xF)), xx = xx, szDzozmdt0(xF) = szDzozmdt0(xF)],extension(6,bind([[_38501, _38568, _38634, _38699], [xx, xx, szDzozmdt0(xF), szDzozmdt0(xF)]]))).
% 127.11/123.29  cnf('1.1.4.1',plain,[-(aElementOf0(xx, szDzozmdt0(xF)))],extension(11)).
% 127.11/123.29  cnf('1.1.4.2',plain,[-(xx = xx)],extension(5,bind([[_37264], [xx]]))).
% 127.11/123.29  cnf('1.1.4.3',plain,[-(szDzozmdt0(xF) = szDzozmdt0(xF))],extension(5,bind([[_37264], [szDzozmdt0(xF)]]))).
% 127.11/123.29  cnf('1.1.5',plain,[-(sdtlpdtrp0(xF, xx) = sdtlpdtrp0(xF, xx)), xF = xF, xx = xx],extension(3,bind([[_44015, _44082, _44148, _44213], [xF, xF, xx, xx]]))).
% 127.11/123.29  cnf('1.1.5.1',plain,[-(xF = xF)],extension(5,bind([[_37264], [xF]]))).
% 127.11/123.29  cnf('1.1.5.2',plain,[-(xx = xx)],extension(5,bind([[_37264], [xx]]))).
% 127.11/123.29  %-----------------------------------------------------
% 127.11/123.29  
% 127.11/123.29  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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