TSTP Solution File: NUM591+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n023.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 11:42:19 EDT 2022

% Result   : Theorem 177.08s 171.81s
% Output   : Proof 177.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 02:25:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 177.08/171.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.08/171.81  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.08/171.82  
% 177.08/171.82  %-----------------------------------------------------
% 177.08/171.82  fof(m__, conjecture, ? [_162447, _162450] : (aElementOf0(_162447, xT) & aSubsetOf0(_162450, xY) & isCountable0(_162450) & ! [_162485] : (aSet0(_162485) & aElementOf0(_162485, slbdtsldtrb0(_162450, xk)) => sdtlpdtrp0(xd, _162485) = _162447)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 177.08/171.82  fof(m__3398, hypothesis, ! [_162768] : (aElementOf0(_162768, szNzAzT0) => ! [_162786] : (aSubsetOf0(_162786, szNzAzT0) & isCountable0(_162786) => ! [_162811] : (aFunction0(_162811) & szDzozmdt0(_162811) = slbdtsldtrb0(_162786, _162768) & aSubsetOf0(sdtlcdtrc0(_162811, szDzozmdt0(_162811)), xT) => iLess0(_162768, xK) => ? [_162874] : (aElementOf0(_162874, xT) & ? [_162892] : (aSubsetOf0(_162892, _162786) & isCountable0(_162892) & ! [_162917] : (aElementOf0(_162917, slbdtsldtrb0(_162892, _162768)) => sdtlpdtrp0(_162811, _162917) = _162874)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3398)).
% 177.08/171.82  fof(m__3533, hypothesis, aElementOf0(xk, szNzAzT0) & szszuzczcdt0(xk) = xK, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3533)).
% 177.08/171.82  fof(m__4423, hypothesis, iLess0(xk, xK), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__4423)).
% 177.08/171.82  fof(m__4482, hypothesis, aSubsetOf0(xY, szNzAzT0) & isCountable0(xY) & aFunction0(xd) & szDzozmdt0(xd) = slbdtsldtrb0(xY, xk) & aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__4482)).
% 177.08/171.82  
% 177.08/171.82  cnf(1, plain, [-(85 ^ [_111727, _111648]), sdtlpdtrp0(xd, 84 ^ [_111727, _111648]) = _111648], clausify(m__)).
% 177.08/171.82  cnf(2, plain, [-(85 ^ [_111727, _111648]), -(aElementOf0(84 ^ [_111727, _111648], slbdtsldtrb0(_111727, xk)))], clausify(m__)).
% 177.08/171.82  cnf(3, plain, [-(80 ^ [_101015, _100772, _100575]), aElementOf0(_122848, slbdtsldtrb0(79 ^ [_101015, _100772, _100575], _100575)), -(sdtlpdtrp0(_101015, _122848) = 78 ^ [_101015, _100772, _100575])], clausify(m__3398)).
% 177.08/171.82  cnf(4, plain, [-(80 ^ [_101015, _100772, _100575]), -(isCountable0(79 ^ [_101015, _100772, _100575]))], clausify(m__3398)).
% 177.08/171.82  cnf(5, plain, [-(80 ^ [_101015, _100772, _100575]), -(aSubsetOf0(79 ^ [_101015, _100772, _100575], _100772))], clausify(m__3398)).
% 177.08/171.82  cnf(6, plain, [-(80 ^ [_101015, _100772, _100575]), -(aElementOf0(78 ^ [_101015, _100772, _100575], xT))], clausify(m__3398)).
% 177.08/171.82  cnf(7, plain, [aElementOf0(_111648, xT), aSubsetOf0(_111727, xY), isCountable0(_111727), 85 ^ [_111727, _111648]], clausify(m__)).
% 177.08/171.82  cnf(8, plain, [aElementOf0(_100575, szNzAzT0), isCountable0(_100772), aSubsetOf0(_100772, szNzAzT0), aSubsetOf0(sdtlcdtrc0(_101015, szDzozmdt0(_101015)), xT), szDzozmdt0(_101015) = slbdtsldtrb0(_100772, _100575), aFunction0(_101015), iLess0(_100575, xK), 80 ^ [_101015, _100772, _100575]], clausify(m__3398)).
% 177.08/171.82  cnf(9, plain, [-(aElementOf0(xk, szNzAzT0))], clausify(m__3533)).
% 177.08/171.82  cnf(10, plain, [-(iLess0(xk, xK))], clausify(m__4423)).
% 177.08/171.82  cnf(11, plain, [-(aSubsetOf0(xY, szNzAzT0))], clausify(m__4482)).
% 177.08/171.82  cnf(12, plain, [-(isCountable0(xY))], clausify(m__4482)).
% 177.08/171.82  cnf(13, plain, [-(aFunction0(xd))], clausify(m__4482)).
% 177.08/171.82  cnf(14, plain, [-(szDzozmdt0(xd) = slbdtsldtrb0(xY, xk))], clausify(m__4482)).
% 177.08/171.82  cnf(15, plain, [-(aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT))], clausify(m__4482)).
% 177.08/171.82  
% 177.08/171.82  cnf('1',plain,[aElementOf0(78 ^ [xd, xY, xk], xT), aSubsetOf0(79 ^ [xd, xY, xk], xY), isCountable0(79 ^ [xd, xY, xk]), 85 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]],start(7,bind([[_111727, _111648], [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]]))).
% 177.08/171.82  cnf('1.1',plain,[-(aElementOf0(78 ^ [xd, xY, xk], xT)), -(80 ^ [xd, xY, xk])],extension(6,bind([[_101015, _100772, _100575], [xd, xY, xk]]))).
% 177.08/171.82  cnf('1.1.1',plain,[80 ^ [xd, xY, xk], aElementOf0(xk, szNzAzT0), isCountable0(xY), aSubsetOf0(xY, szNzAzT0), aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), szDzozmdt0(xd) = slbdtsldtrb0(xY, xk), aFunction0(xd), iLess0(xk, xK)],extension(8,bind([[_100772, _101015, _100575], [xY, xd, xk]]))).
% 177.08/171.82  cnf('1.1.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(9)).
% 177.08/171.82  cnf('1.1.1.2',plain,[-(isCountable0(xY))],extension(12)).
% 177.08/171.82  cnf('1.1.1.3',plain,[-(aSubsetOf0(xY, szNzAzT0))],extension(11)).
% 177.08/171.82  cnf('1.1.1.4',plain,[-(aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT))],extension(15)).
% 177.08/171.82  cnf('1.1.1.5',plain,[-(szDzozmdt0(xd) = slbdtsldtrb0(xY, xk))],extension(14)).
% 177.08/171.82  cnf('1.1.1.6',plain,[-(aFunction0(xd))],extension(13)).
% 177.08/171.82  cnf('1.1.1.7',plain,[-(iLess0(xk, xK))],extension(10)).
% 177.08/171.82  cnf('1.2',plain,[-(aSubsetOf0(79 ^ [xd, xY, xk], xY)), -(80 ^ [xd, xY, xk])],extension(5,bind([[_101015, _100772, _100575], [xd, xY, xk]]))).
% 177.08/171.82  cnf('1.2.1',plain,[80 ^ [xd, xY, xk], aElementOf0(xk, szNzAzT0), isCountable0(xY), aSubsetOf0(xY, szNzAzT0), aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), szDzozmdt0(xd) = slbdtsldtrb0(xY, xk), aFunction0(xd), iLess0(xk, xK)],extension(8,bind([[_100772, _101015, _100575], [xY, xd, xk]]))).
% 177.08/171.82  cnf('1.2.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(9)).
% 177.08/171.82  cnf('1.2.1.2',plain,[-(isCountable0(xY))],extension(12)).
% 177.08/171.82  cnf('1.2.1.3',plain,[-(aSubsetOf0(xY, szNzAzT0))],extension(11)).
% 177.08/171.82  cnf('1.2.1.4',plain,[-(aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT))],extension(15)).
% 177.08/171.82  cnf('1.2.1.5',plain,[-(szDzozmdt0(xd) = slbdtsldtrb0(xY, xk))],extension(14)).
% 177.08/171.82  cnf('1.2.1.6',plain,[-(aFunction0(xd))],extension(13)).
% 177.08/171.82  cnf('1.2.1.7',plain,[-(iLess0(xk, xK))],extension(10)).
% 177.08/171.82  cnf('1.3',plain,[-(isCountable0(79 ^ [xd, xY, xk])), -(80 ^ [xd, xY, xk])],extension(4,bind([[_101015, _100772, _100575], [xd, xY, xk]]))).
% 177.08/171.82  cnf('1.3.1',plain,[80 ^ [xd, xY, xk], aElementOf0(xk, szNzAzT0), isCountable0(xY), aSubsetOf0(xY, szNzAzT0), aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), szDzozmdt0(xd) = slbdtsldtrb0(xY, xk), aFunction0(xd), iLess0(xk, xK)],extension(8,bind([[_100772, _101015, _100575], [xY, xd, xk]]))).
% 177.08/171.82  cnf('1.3.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(9)).
% 177.08/171.82  cnf('1.3.1.2',plain,[-(isCountable0(xY))],extension(12)).
% 177.08/171.82  cnf('1.3.1.3',plain,[-(aSubsetOf0(xY, szNzAzT0))],extension(11)).
% 177.08/171.82  cnf('1.3.1.4',plain,[-(aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT))],extension(15)).
% 177.08/171.82  cnf('1.3.1.5',plain,[-(szDzozmdt0(xd) = slbdtsldtrb0(xY, xk))],extension(14)).
% 177.08/171.82  cnf('1.3.1.6',plain,[-(aFunction0(xd))],extension(13)).
% 177.08/171.82  cnf('1.3.1.7',plain,[-(iLess0(xk, xK))],extension(10)).
% 177.08/171.82  cnf('1.4',plain,[-(85 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]), sdtlpdtrp0(xd, 84 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]) = 78 ^ [xd, xY, xk]],extension(1,bind([[_111727, _111648], [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]]))).
% 177.08/171.82  cnf('1.4.1',plain,[-(sdtlpdtrp0(xd, 84 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]) = 78 ^ [xd, xY, xk]), -(80 ^ [xd, xY, xk]), aElementOf0(84 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]], slbdtsldtrb0(79 ^ [xd, xY, xk], xk))],extension(3,bind([[_122848, _101015, _100772, _100575], [84 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]], xd, xY, xk]]))).
% 177.08/171.82  cnf('1.4.1.1',plain,[80 ^ [xd, xY, xk], aElementOf0(xk, szNzAzT0), isCountable0(xY), aSubsetOf0(xY, szNzAzT0), aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), szDzozmdt0(xd) = slbdtsldtrb0(xY, xk), aFunction0(xd), iLess0(xk, xK)],extension(8,bind([[_100772, _101015, _100575], [xY, xd, xk]]))).
% 177.08/171.82  cnf('1.4.1.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(9)).
% 177.08/171.82  cnf('1.4.1.1.2',plain,[-(isCountable0(xY))],extension(12)).
% 177.08/171.82  cnf('1.4.1.1.3',plain,[-(aSubsetOf0(xY, szNzAzT0))],extension(11)).
% 177.08/171.82  cnf('1.4.1.1.4',plain,[-(aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT))],extension(15)).
% 177.08/171.82  cnf('1.4.1.1.5',plain,[-(szDzozmdt0(xd) = slbdtsldtrb0(xY, xk))],extension(14)).
% 177.08/171.82  cnf('1.4.1.1.6',plain,[-(aFunction0(xd))],extension(13)).
% 177.08/171.82  cnf('1.4.1.1.7',plain,[-(iLess0(xk, xK))],extension(10)).
% 177.08/171.82  cnf('1.4.1.2',plain,[-(aElementOf0(84 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]], slbdtsldtrb0(79 ^ [xd, xY, xk], xk))), -(85 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]])],extension(2,bind([[_111727, _111648], [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]]))).
% 177.08/171.82  cnf('1.4.1.2.1',plain,[85 ^ [79 ^ [xd, xY, xk], 78 ^ [xd, xY, xk]]],reduction('1')).
% 177.08/171.82  %-----------------------------------------------------
% 177.08/171.82  
% 177.08/171.83  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------