TSTP Solution File: NUM450+6 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 11:40:56 EDT 2022

% Result   : Theorem 10.46s 10.73s
% Output   : Proof 10.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 19:52:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 10.46/10.73  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.50/10.73  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.50/10.74  
% 10.50/10.74  %-----------------------------------------------------
% 10.50/10.74  fof(m__, conjecture, ? [_145894] : (aInteger0(_145894) & (! _145894) = sz00 & (aSet0(szAzrzSzezqlpdtcmdtrp0(sz10, _145894)) & ! [_145931] : ((aElementOf0(_145931, szAzrzSzezqlpdtcmdtrp0(sz10, _145894)) => aInteger0(_145931) & ? [_145963] : (aInteger0(_145963) & sdtasdt0(_145894, _145963) = sdtpldt0(_145931, smndt0(sz10))) & aDivisorOf0(_145894, sdtpldt0(_145931, smndt0(sz10))) & sdteqdtlpzmzozddtrp0(_145931, sz10, _145894)) & (aInteger0(_145931) & (? [_145963] : (aInteger0(_145963) & sdtasdt0(_145894, _145963) = sdtpldt0(_145931, smndt0(sz10))) | aDivisorOf0(_145894, sdtpldt0(_145931, smndt0(sz10))) | sdteqdtlpzmzozddtrp0(_145931, sz10, _145894)) => aElementOf0(_145931, szAzrzSzezqlpdtcmdtrp0(sz10, _145894)))) => aSet0(sbsmnsldt0(xS)) & ! [_145931] : (aElementOf0(_145931, sbsmnsldt0(xS)) <=> aInteger0(_145931) & ? [_145963] : (aElementOf0(_145963, xS) & aElementOf0(_145931, _145963))) => ! [_145931] : (aElementOf0(_145931, stldt0(sbsmnsldt0(xS))) <=> aInteger0(_145931) & ~ aElementOf0(_145931, sbsmnsldt0(xS))) => ! [_145931] : (aElementOf0(_145931, szAzrzSzezqlpdtcmdtrp0(sz10, _145894)) => aElementOf0(_145931, stldt0(sbsmnsldt0(xS)))) | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, _145894), stldt0(sbsmnsldt0(xS))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 10.50/10.74  fof(m__2079, hypothesis, aSet0(sbsmnsldt0(xS)) & ! [_147353] : (aElementOf0(_147353, sbsmnsldt0(xS)) <=> aInteger0(_147353) & ? [_147382] : (aElementOf0(_147382, xS) & aElementOf0(_147353, _147382))) & aSet0(stldt0(sbsmnsldt0(xS))) & ! [_147353] : (aElementOf0(_147353, stldt0(sbsmnsldt0(xS))) <=> aInteger0(_147353) & ~ aElementOf0(_147353, sbsmnsldt0(xS))) & ! [_147353] : (aElementOf0(_147353, stldt0(sbsmnsldt0(xS))) <=> _147353 = sz10 | _147353 = smndt0(sz10)) & stldt0(sbsmnsldt0(xS)) = cS2076, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2079)).
% 10.50/10.74  fof(m__2144, hypothesis, aSet0(sbsmnsldt0(xS)) & ! [_147970] : (aElementOf0(_147970, sbsmnsldt0(xS)) <=> aInteger0(_147970) & ? [_147999] : (aElementOf0(_147999, xS) & aElementOf0(_147970, _147999))) & ! [_147970] : (aElementOf0(_147970, stldt0(sbsmnsldt0(xS))) <=> aInteger0(_147970) & ~ aElementOf0(_147970, sbsmnsldt0(xS))) & ! [_147970] : (aElementOf0(_147970, stldt0(sbsmnsldt0(xS))) => ? [_147999] : (aInteger0(_147999) & (! _147999) = sz00 & aSet0(szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) & ! [_148136] : ((aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) => aInteger0(_148136) & ? [_148168] : (aInteger0(_148168) & sdtasdt0(_147999, _148168) = sdtpldt0(_148136, smndt0(_147970))) & aDivisorOf0(_147999, sdtpldt0(_148136, smndt0(_147970))) & sdteqdtlpzmzozddtrp0(_148136, _147970, _147999)) & (aInteger0(_148136) & (? [_148168] : (aInteger0(_148168) & sdtasdt0(_147999, _148168) = sdtpldt0(_148136, smndt0(_147970))) | aDivisorOf0(_147999, sdtpldt0(_148136, smndt0(_147970))) | sdteqdtlpzmzozddtrp0(_148136, _147970, _147999)) => aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)))) & ! [_148136] : (aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) => aElementOf0(_148136, stldt0(sbsmnsldt0(xS)))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_147970, _147999), stldt0(sbsmnsldt0(xS))))) & isOpen0(stldt0(sbsmnsldt0(xS))) & isClosed0(sbsmnsldt0(xS)) & aSet0(sbsmnsldt0(xS)) & ! [_147970] : (aElementOf0(_147970, sbsmnsldt0(xS)) <=> aInteger0(_147970) & ? [_147999] : (aElementOf0(_147999, xS) & aElementOf0(_147970, _147999))) & ! [_147970] : (aElementOf0(_147970, stldt0(sbsmnsldt0(xS))) <=> aInteger0(_147970) & ~ aElementOf0(_147970, sbsmnsldt0(xS))) & ! [_147970] : (aElementOf0(_147970, stldt0(sbsmnsldt0(xS))) => ? [_147999] : (aInteger0(_147999) & (! _147999) = sz00 & aSet0(szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) & ! [_148136] : ((aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) => aInteger0(_148136) & ? [_148168] : (aInteger0(_148168) & sdtasdt0(_147999, _148168) = sdtpldt0(_148136, smndt0(_147970))) & aDivisorOf0(_147999, sdtpldt0(_148136, smndt0(_147970))) & sdteqdtlpzmzozddtrp0(_148136, _147970, _147999)) & (aInteger0(_148136) & (? [_148168] : (aInteger0(_148168) & sdtasdt0(_147999, _148168) = sdtpldt0(_148136, smndt0(_147970))) | aDivisorOf0(_147999, sdtpldt0(_148136, smndt0(_147970))) | sdteqdtlpzmzozddtrp0(_148136, _147970, _147999)) => aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)))) & ! [_148136] : (aElementOf0(_148136, szAzrzSzezqlpdtcmdtrp0(_147970, _147999)) => aElementOf0(_148136, stldt0(sbsmnsldt0(xS)))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_147970, _147999), stldt0(sbsmnsldt0(xS))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2144)).
% 10.50/10.74  
% 10.50/10.74  cnf(1, plain, [-(33 ^ [_91367]), aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, _91367), stldt0(sbsmnsldt0(xS)))], clausify(m__)).
% 10.50/10.74  cnf(2, plain, [aInteger0(_91367), -(_91367 = sz00), 33 ^ [_91367]], clausify(m__)).
% 10.50/10.74  cnf(3, plain, [-(_43544 = _43544)], theory(equality)).
% 10.50/10.74  cnf(4, plain, [-(aElementOf0(_82840, stldt0(sbsmnsldt0(xS)))), _82840 = sz10], clausify(m__2079)).
% 10.50/10.74  cnf(5, plain, [aElementOf0(_84239, stldt0(sbsmnsldt0(xS))), -(aInteger0(21 ^ [_84239]))], clausify(m__2144)).
% 10.50/10.74  cnf(6, plain, [aElementOf0(_84239, stldt0(sbsmnsldt0(xS))), 21 ^ [_84239] = sz00], clausify(m__2144)).
% 10.50/10.74  cnf(7, plain, [aElementOf0(_84239, stldt0(sbsmnsldt0(xS))), -(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_84239, 21 ^ [_84239]), stldt0(sbsmnsldt0(xS))))], clausify(m__2144)).
% 10.50/10.74  
% 10.50/10.74  cnf('1',plain,[aElementOf0(sz10, stldt0(sbsmnsldt0(xS))), 21 ^ [sz10] = sz00],start(6,bind([[_84239], [sz10]]))).
% 10.50/10.74  cnf('1.1',plain,[-(aElementOf0(sz10, stldt0(sbsmnsldt0(xS)))), sz10 = sz10],extension(4,bind([[_82840], [sz10]]))).
% 10.50/10.74  cnf('1.1.1',plain,[-(sz10 = sz10)],extension(3,bind([[_43544], [sz10]]))).
% 10.50/10.74  cnf('1.2',plain,[-(21 ^ [sz10] = sz00), aInteger0(21 ^ [sz10]), 33 ^ [21 ^ [sz10]]],extension(2,bind([[_91367], [21 ^ [sz10]]]))).
% 10.50/10.74  cnf('1.2.1',plain,[-(aInteger0(21 ^ [sz10])), aElementOf0(sz10, stldt0(sbsmnsldt0(xS)))],extension(5,bind([[_84239], [sz10]]))).
% 10.50/10.74  cnf('1.2.1.1',plain,[-(aElementOf0(sz10, stldt0(sbsmnsldt0(xS))))],lemmata('1')).
% 10.50/10.74  cnf('1.2.2',plain,[-(33 ^ [21 ^ [sz10]]), aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, 21 ^ [sz10]), stldt0(sbsmnsldt0(xS)))],extension(1,bind([[_91367], [21 ^ [sz10]]]))).
% 10.50/10.74  cnf('1.2.2.1',plain,[-(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10, 21 ^ [sz10]), stldt0(sbsmnsldt0(xS)))), aElementOf0(sz10, stldt0(sbsmnsldt0(xS)))],extension(7,bind([[_84239], [sz10]]))).
% 10.50/10.74  cnf('1.2.2.1.1',plain,[-(aElementOf0(sz10, stldt0(sbsmnsldt0(xS))))],lemmata('1')).
% 10.50/10.74  %-----------------------------------------------------
% 10.50/10.74  
% 10.50/10.75  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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