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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM538+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kuyw4Knan3 true

% Computer : n001.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 : Thu Oct  2 04:47:22 PM UTC 2025

% Result   : Theorem 4.19s 1.24s
% Output   : Refutation 4.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem  : NUM538+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kuyw4Knan3 true
% 0.14/0.39  % Computer : n001.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Wed Oct  1 16:40:38 EDT 2025
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  % Running portfolio for 300 s
% 0.14/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  % Number of cores: 8
% 0.14/0.40  % Python version: Python 3.6.8
% 0.14/0.40  % Running in FO mode
% 0.56/0.71  % Total configuration time : 435
% 0.56/0.71  % Estimated wc time : 1092
% 0.56/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.19/1.24  % Solved by fo/fo5.sh.
% 4.19/1.24  % done 666 iterations in 0.392s
% 4.19/1.24  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.19/1.24  % SZS output start Refutation
% 4.19/1.24  thf(aSet0_type, type, aSet0: $i > $o).
% 4.19/1.24  thf(xx_type, type, xx: $i).
% 4.19/1.24  thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 4.19/1.24  thf(aElement0_type, type, aElement0: $i > $o).
% 4.19/1.24  thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 4.19/1.24  thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 4.19/1.24  thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 4.19/1.24  thf(isFinite0_type, type, isFinite0: $i > $o).
% 4.19/1.24  thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 4.19/1.24  thf(xS_type, type, xS: $i).
% 4.19/1.24  thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 4.19/1.24  thf(mFDiffSet, axiom,
% 4.19/1.24    (![W0:$i]:
% 4.19/1.24     ( ( aElement0 @ W0 ) =>
% 4.19/1.24       ( ![W1:$i]:
% 4.19/1.24         ( ( ( aSet0 @ W1 ) & ( isFinite0 @ W1 ) ) =>
% 4.19/1.24           ( isFinite0 @ ( sdtmndt0 @ W1 @ W0 ) ) ) ) ))).
% 4.19/1.24  thf(zip_derived_cl42, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]:
% 4.19/1.24         (~ (aSet0 @ X0)
% 4.19/1.24          | ~ (isFinite0 @ X0)
% 4.19/1.24          |  (isFinite0 @ (sdtmndt0 @ X0 @ X1))
% 4.19/1.24          | ~ (aElement0 @ X1))),
% 4.19/1.24      inference('cnf', [status(esa)], [mFDiffSet])).
% 4.19/1.24  thf(mDefDiff, axiom,
% 4.19/1.24    (![W0:$i,W1:$i]:
% 4.19/1.24     ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 4.19/1.24       ( ![W2:$i]:
% 4.19/1.24         ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 4.19/1.24           ( ( ![W3:$i]:
% 4.19/1.24               ( ( aElementOf0 @ W3 @ W2 ) <=>
% 4.19/1.24                 ( ( ( W3 ) != ( W1 ) ) & ( aElementOf0 @ W3 @ W0 ) & 
% 4.19/1.24                   ( aElement0 @ W3 ) ) ) ) & 
% 4.19/1.24             ( aSet0 @ W2 ) ) ) ) ))).
% 4.19/1.24  thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $i > $o).
% 4.19/1.24  thf(zf_stmt_1, axiom,
% 4.19/1.24    (![W3:$i,W1:$i,W0:$i]:
% 4.19/1.24     ( ( zip_tseitin_1 @ W3 @ W1 @ W0 ) <=>
% 4.19/1.24       ( ( aElement0 @ W3 ) & ( aElementOf0 @ W3 @ W0 ) & ( ( W3 ) != ( W1 ) ) ) ))).
% 4.19/1.24  thf(zf_stmt_2, axiom,
% 4.19/1.24    (![W0:$i,W1:$i]:
% 4.19/1.24     ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 4.19/1.24       ( ![W2:$i]:
% 4.19/1.24         ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 4.19/1.24           ( ( aSet0 @ W2 ) & 
% 4.19/1.24             ( ![W3:$i]:
% 4.19/1.24               ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 4.19/1.24  thf(zip_derived_cl32, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.19/1.24         (~ (aSet0 @ X0)
% 4.19/1.24          | ~ (aElement0 @ X1)
% 4.19/1.24          |  (aSet0 @ X2)
% 4.19/1.24          | ((X2) != (sdtmndt0 @ X0 @ X1)))),
% 4.19/1.24      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.19/1.24  thf(zip_derived_cl190, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]:
% 4.19/1.24         ( (aSet0 @ (sdtmndt0 @ X1 @ X0)) | ~ (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.19/1.24      inference('eq_res', [status(thm)], [zip_derived_cl32])).
% 4.19/1.24  thf(m__1522_02, axiom, (( aElementOf0 @ xx @ xS ) & ( isFinite0 @ xS ))).
% 4.19/1.24  thf(zip_derived_cl71, plain, ( (aElementOf0 @ xx @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522_02])).
% 4.19/1.24  thf(mConsDiff, axiom,
% 4.19/1.24    (![W0:$i]:
% 4.19/1.24     ( ( aSet0 @ W0 ) =>
% 4.19/1.24       ( ![W1:$i]:
% 4.19/1.24         ( ( aElementOf0 @ W1 @ W0 ) =>
% 4.19/1.24           ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 ) = ( W0 ) ) ) ) ))).
% 4.19/1.24  thf(zip_derived_cl37, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]:
% 4.19/1.24         (~ (aElementOf0 @ X0 @ X1)
% 4.19/1.24          | ((sdtpldt0 @ (sdtmndt0 @ X1 @ X0) @ X0) = (X1))
% 4.19/1.24          | ~ (aSet0 @ X1))),
% 4.19/1.24      inference('cnf', [status(esa)], [mConsDiff])).
% 4.19/1.24  thf(zip_derived_cl267, plain,
% 4.19/1.24      ((~ (aSet0 @ xS) | ((sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) = (xS)))),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl37])).
% 4.19/1.24  thf(m__1522, axiom, (aSet0 @ xS)).
% 4.19/1.24  thf(zip_derived_cl70, plain, ( (aSet0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522])).
% 4.19/1.24  thf(zip_derived_cl274, plain,
% 4.19/1.24      (((sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) = (xS))),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl70])).
% 4.19/1.24  thf(mCardCons, axiom,
% 4.19/1.24    (![W0:$i]:
% 4.19/1.24     ( ( ( aSet0 @ W0 ) & ( isFinite0 @ W0 ) ) =>
% 4.19/1.24       ( ![W1:$i]:
% 4.19/1.24         ( ( aElement0 @ W1 ) =>
% 4.19/1.24           ( ( ~( aElementOf0 @ W1 @ W0 ) ) =>
% 4.19/1.24             ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) ) =
% 4.19/1.24               ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ))).
% 4.19/1.24  thf(zip_derived_cl69, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]:
% 4.19/1.24         (~ (aElement0 @ X0)
% 4.19/1.24          | ((sbrdtbr0 @ (sdtpldt0 @ X1 @ X0))
% 4.19/1.24              = (szszuzczcdt0 @ (sbrdtbr0 @ X1)))
% 4.19/1.24          |  (aElementOf0 @ X0 @ X1)
% 4.19/1.24          | ~ (isFinite0 @ X1)
% 4.19/1.24          | ~ (aSet0 @ X1))),
% 4.19/1.24      inference('cnf', [status(esa)], [mCardCons])).
% 4.19/1.24  thf(zip_derived_cl451, plain,
% 4.19/1.24      ((((sbrdtbr0 @ xS) = (szszuzczcdt0 @ (sbrdtbr0 @ (sdtmndt0 @ xS @ xx))))
% 4.19/1.24        | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (isFinite0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        |  (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (aElement0 @ xx))),
% 4.19/1.24      inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl69])).
% 4.19/1.24  thf(zip_derived_cl71, plain, ( (aElementOf0 @ xx @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522_02])).
% 4.19/1.24  thf(mEOfElem, axiom,
% 4.19/1.24    (![W0:$i]:
% 4.19/1.24     ( ( aSet0 @ W0 ) =>
% 4.19/1.24       ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 4.19/1.24  thf(zip_derived_cl2, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]:
% 4.19/1.24         (~ (aElementOf0 @ X0 @ X1) |  (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.19/1.24      inference('cnf', [status(esa)], [mEOfElem])).
% 4.19/1.24  thf(zip_derived_cl75, plain, ((~ (aSet0 @ xS) |  (aElement0 @ xx))),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl2])).
% 4.19/1.24  thf(zip_derived_cl70, plain, ( (aSet0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522])).
% 4.19/1.24  thf(zip_derived_cl76, plain, ( (aElement0 @ xx)),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl70])).
% 4.19/1.24  thf(zip_derived_cl455, plain,
% 4.19/1.24      ((((sbrdtbr0 @ xS) = (szszuzczcdt0 @ (sbrdtbr0 @ (sdtmndt0 @ xS @ xx))))
% 4.19/1.24        | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (isFinite0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        |  (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx)))),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl76])).
% 4.19/1.24  thf(m__, conjecture,
% 4.19/1.24    (( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) =
% 4.19/1.24     ( sbrdtbr0 @ xS ))).
% 4.19/1.24  thf(zf_stmt_3, negated_conjecture,
% 4.19/1.24    (( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) !=
% 4.19/1.24     ( sbrdtbr0 @ xS )),
% 4.19/1.24    inference('cnf.neg', [status(esa)], [m__])).
% 4.19/1.24  thf(zip_derived_cl73, plain,
% 4.19/1.24      (((szszuzczcdt0 @ (sbrdtbr0 @ (sdtmndt0 @ xS @ xx))) != (sbrdtbr0 @ xS))),
% 4.19/1.24      inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.19/1.24  thf(zip_derived_cl456, plain,
% 4.19/1.24      ((~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (isFinite0 @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        |  (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx)))),
% 4.19/1.24      inference('simplify_reflect-', [status(thm)],
% 4.19/1.24                [zip_derived_cl455, zip_derived_cl73])).
% 4.19/1.24  thf(zip_derived_cl545, plain,
% 4.19/1.24      ((~ (aSet0 @ xS)
% 4.19/1.24        | ~ (aElement0 @ xx)
% 4.19/1.24        |  (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (isFinite0 @ (sdtmndt0 @ xS @ xx)))),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl456])).
% 4.19/1.24  thf(zip_derived_cl70, plain, ( (aSet0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522])).
% 4.19/1.24  thf(zip_derived_cl76, plain, ( (aElement0 @ xx)),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl70])).
% 4.19/1.24  thf(zip_derived_cl552, plain,
% 4.19/1.24      (( (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx))
% 4.19/1.24        | ~ (isFinite0 @ (sdtmndt0 @ xS @ xx)))),
% 4.19/1.24      inference('demod', [status(thm)],
% 4.19/1.24                [zip_derived_cl545, zip_derived_cl70, zip_derived_cl76])).
% 4.19/1.24  thf(zip_derived_cl554, plain,
% 4.19/1.24      ((~ (aElement0 @ xx)
% 4.19/1.24        | ~ (isFinite0 @ xS)
% 4.19/1.24        | ~ (aSet0 @ xS)
% 4.19/1.24        |  (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx)))),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl552])).
% 4.19/1.24  thf(zip_derived_cl76, plain, ( (aElement0 @ xx)),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl70])).
% 4.19/1.24  thf(zip_derived_cl72, plain, ( (isFinite0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522_02])).
% 4.19/1.24  thf(zip_derived_cl70, plain, ( (aSet0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522])).
% 4.19/1.24  thf(zip_derived_cl555, plain, ( (aElementOf0 @ xx @ (sdtmndt0 @ xS @ xx))),
% 4.19/1.24      inference('demod', [status(thm)],
% 4.19/1.24                [zip_derived_cl554, zip_derived_cl76, zip_derived_cl72, 
% 4.19/1.24                 zip_derived_cl70])).
% 4.19/1.24  thf(zip_derived_cl33, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.19/1.24         (~ (aSet0 @ X0)
% 4.19/1.24          | ~ (aElement0 @ X1)
% 4.19/1.24          | ~ (aElementOf0 @ X2 @ X3)
% 4.19/1.24          |  (zip_tseitin_1 @ X2 @ X1 @ X0)
% 4.19/1.24          | ((X3) != (sdtmndt0 @ X0 @ X1)))),
% 4.19/1.24      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.19/1.24  thf(zip_derived_cl377, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.19/1.24         ( (zip_tseitin_1 @ X2 @ X1 @ X0)
% 4.19/1.24          | ~ (aElementOf0 @ X2 @ (sdtmndt0 @ X0 @ X1))
% 4.19/1.24          | ~ (aElement0 @ X1)
% 4.19/1.24          | ~ (aSet0 @ X0))),
% 4.19/1.24      inference('eq_res', [status(thm)], [zip_derived_cl33])).
% 4.19/1.24  thf(zip_derived_cl2296, plain,
% 4.19/1.24      ((~ (aSet0 @ xS) | ~ (aElement0 @ xx) |  (zip_tseitin_1 @ xx @ xx @ xS))),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl555, zip_derived_cl377])).
% 4.19/1.24  thf(zip_derived_cl70, plain, ( (aSet0 @ xS)),
% 4.19/1.24      inference('cnf', [status(esa)], [m__1522])).
% 4.19/1.24  thf(zip_derived_cl76, plain, ( (aElement0 @ xx)),
% 4.19/1.24      inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl70])).
% 4.19/1.24  thf(zip_derived_cl2310, plain, ( (zip_tseitin_1 @ xx @ xx @ xS)),
% 4.19/1.24      inference('demod', [status(thm)],
% 4.19/1.24                [zip_derived_cl2296, zip_derived_cl70, zip_derived_cl76])).
% 4.19/1.24  thf(zip_derived_cl30, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.19/1.24         (((X1) != (X0)) | ~ (zip_tseitin_1 @ X1 @ X0 @ X2))),
% 4.19/1.24      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.19/1.24  thf(zip_derived_cl77, plain,
% 4.19/1.24      (![X0 : $i, X1 : $i]: ~ (zip_tseitin_1 @ X1 @ X1 @ X0)),
% 4.19/1.24      inference('eq_res', [status(thm)], [zip_derived_cl30])).
% 4.19/1.24  thf(zip_derived_cl2339, plain, ($false),
% 4.19/1.24      inference('sup-', [status(thm)], [zip_derived_cl2310, zip_derived_cl77])).
% 4.19/1.24  
% 4.19/1.24  % SZS output end Refutation
% 4.19/1.24  
% 4.19/1.24  
% 4.19/1.24  % Terminating...
% 4.19/1.32  % Runner terminated.
% 4.19/1.33  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------