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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET792+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E0M9ZAu7UU true

% Computer : n025.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 04:52:51 PM UTC 2025

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SET792+4 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E0M9ZAu7UU true
% 0.12/0.34  % Computer : n025.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  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 12:54:38 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82  % Solved by fo/fo7.sh.
% 0.57/0.82  % done 112 iterations in 0.064s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% 0.57/0.82  thf(member_type, type, member: $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 0.57/0.82  thf(min_type, type, min: $i > $i > $i > $o).
% 0.57/0.82  thf(apply_type, type, apply: $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 0.57/0.82  thf(order_type, type, order: $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 0.57/0.82  thf(sk__16_type, type, sk__16: $i).
% 0.57/0.82  thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 0.57/0.82  thf(least_type, type, least: $i > $i > $i > $o).
% 0.57/0.82  thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 0.57/0.82  thf(sk__18_type, type, sk__18: $i).
% 0.57/0.82  thf(sk__13_type, type, sk__13: $i > $i > $i > $i).
% 0.57/0.82  thf(sk__17_type, type, sk__17: $i).
% 0.57/0.82  thf(min, axiom,
% 0.57/0.82    (![R:$i,E:$i,M:$i]:
% 0.57/0.82     ( ( min @ M @ R @ E ) <=>
% 0.57/0.82       ( ( member @ M @ E ) & 
% 0.57/0.82         ( ![X:$i]:
% 0.57/0.82           ( ( ( member @ X @ E ) & ( apply @ R @ X @ M ) ) =>
% 0.57/0.82             ( ( M ) = ( X ) ) ) ) ) ))).
% 0.57/0.82  thf(zip_derived_cl59, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (min @ X0 @ X1 @ X2)
% 0.57/0.82          |  (member @ (sk__13 @ X0 @ X2 @ X1) @ X2)
% 0.57/0.82          | ~ (member @ X0 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [min])).
% 0.57/0.82  thf(thIV4, conjecture,
% 0.57/0.82    (![R:$i,E:$i,M:$i]:
% 0.57/0.82     ( ( ( order @ R @ E ) & ( least @ M @ R @ E ) ) => ( min @ M @ R @ E ) ))).
% 0.57/0.82  thf(zf_stmt_0, negated_conjecture,
% 0.57/0.82    (~( ![R:$i,E:$i,M:$i]:
% 0.57/0.82        ( ( ( order @ R @ E ) & ( least @ M @ R @ E ) ) => ( min @ M @ R @ E ) ) )),
% 0.57/0.82    inference('cnf.neg', [status(esa)], [thIV4])).
% 0.57/0.82  thf(zip_derived_cl74, plain, (~ (min @ sk__18 @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(zip_derived_cl91, plain,
% 0.57/0.82      ((~ (member @ sk__18 @ sk__17)
% 0.57/0.82        |  (member @ (sk__13 @ sk__18 @ sk__17 @ sk__16) @ sk__17))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl74])).
% 0.57/0.82  thf(zip_derived_cl75, plain, ( (least @ sk__18 @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(least, axiom,
% 0.57/0.82    (![R:$i,E:$i,M:$i]:
% 0.57/0.82     ( ( least @ M @ R @ E ) <=>
% 0.57/0.82       ( ( member @ M @ E ) & 
% 0.57/0.82         ( ![X:$i]: ( ( member @ X @ E ) => ( apply @ R @ M @ X ) ) ) ) ))).
% 0.57/0.82  thf(zip_derived_cl48, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (member @ X0 @ X1) | ~ (least @ X0 @ X2 @ X1))),
% 0.57/0.82      inference('cnf', [status(esa)], [least])).
% 0.57/0.82  thf(zip_derived_cl79, plain, ( (member @ sk__18 @ sk__17)),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl48])).
% 0.57/0.82  thf(zip_derived_cl92, plain,
% 0.57/0.82      ( (member @ (sk__13 @ sk__18 @ sk__17 @ sk__16) @ sk__17)),
% 0.57/0.82      inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl79])).
% 0.57/0.82  thf(zip_derived_cl75, plain, ( (least @ sk__18 @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(zip_derived_cl49, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82         (~ (member @ X0 @ X1)
% 0.57/0.82          |  (apply @ X2 @ X3 @ X0)
% 0.57/0.82          | ~ (least @ X3 @ X2 @ X1))),
% 0.57/0.82      inference('cnf', [status(esa)], [least])).
% 0.57/0.82  thf(zip_derived_cl106, plain,
% 0.57/0.82      (![X0 : $i]: ( (apply @ sk__16 @ sk__18 @ X0) | ~ (member @ X0 @ sk__17))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl49])).
% 0.57/0.82  thf(order, axiom,
% 0.57/0.82    (![R:$i,E:$i]:
% 0.57/0.82     ( ( order @ R @ E ) <=>
% 0.57/0.82       ( ( ![X:$i,Y:$i,Z:$i]:
% 0.57/0.82           ( ( ( member @ Z @ E ) & ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.57/0.82             ( ( ( apply @ R @ Y @ Z ) & ( apply @ R @ X @ Y ) ) =>
% 0.57/0.82               ( apply @ R @ X @ Z ) ) ) ) & 
% 0.57/0.82         ( ![X:$i,Y:$i]:
% 0.57/0.82           ( ( ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.57/0.82             ( ( ( apply @ R @ Y @ X ) & ( apply @ R @ X @ Y ) ) =>
% 0.57/0.82               ( ( X ) = ( Y ) ) ) ) ) & 
% 0.57/0.82         ( ![X:$i]: ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ) ) ))).
% 0.57/0.82  thf(zf_stmt_1, axiom,
% 0.57/0.82    (![Y:$i,X:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_5 @ Y @ X @ R ) <=>
% 0.57/0.82       ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ X ) ) ))).
% 0.57/0.82  thf(zip_derived_cl18, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.57/0.82          | ~ (apply @ X2 @ X0 @ X1)
% 0.57/0.82          | ~ (apply @ X2 @ X1 @ X0))),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82  thf(zf_stmt_2, axiom,
% 0.57/0.82    (![Y:$i,X:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_6 @ Y @ X @ R ) <=>
% 0.57/0.82       ( ( zip_tseitin_5 @ Y @ X @ R ) => ( ( X ) = ( Y ) ) ) ))).
% 0.57/0.82  thf(zip_derived_cl19, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         (~ (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.57/0.82          | ((X1) = (X0))
% 0.57/0.82          | ~ (zip_tseitin_6 @ X0 @ X1 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.82  thf(zip_derived_cl197, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         (~ (apply @ X0 @ X1 @ X2)
% 0.57/0.82          | ~ (apply @ X0 @ X2 @ X1)
% 0.57/0.82          | ~ (zip_tseitin_6 @ X2 @ X1 @ X0)
% 0.57/0.82          | ((X1) = (X2)))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl19])).
% 0.57/0.82  thf(zip_derived_cl204, plain,
% 0.57/0.82      (![X0 : $i]:
% 0.57/0.82         (~ (member @ X0 @ sk__17)
% 0.57/0.82          | ((sk__18) = (X0))
% 0.57/0.82          | ~ (zip_tseitin_6 @ X0 @ sk__18 @ sk__16)
% 0.57/0.82          | ~ (apply @ sk__16 @ X0 @ sk__18))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl197])).
% 0.57/0.82  thf(zip_derived_cl79, plain, ( (member @ sk__18 @ sk__17)),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl48])).
% 0.57/0.82  thf(zf_stmt_3, axiom,
% 0.57/0.82    (![Y:$i,X:$i,E:$i]:
% 0.57/0.82     ( ( zip_tseitin_4 @ Y @ X @ E ) <=>
% 0.57/0.82       ( ( member @ X @ E ) & ( member @ Y @ E ) ) ))).
% 0.57/0.82  thf(zip_derived_cl15, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.57/0.82          | ~ (member @ X0 @ X2)
% 0.57/0.82          | ~ (member @ X1 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.82  thf(zip_derived_cl76, plain, ( (order @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(zf_stmt_4, type, zip_tseitin_8 : $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_5, axiom,
% 0.57/0.82    (![X:$i,E:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_8 @ X @ E @ R ) <=>
% 0.57/0.82       ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ))).
% 0.57/0.82  thf(zf_stmt_6, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_7, axiom,
% 0.57/0.82    (![Y:$i,X:$i,E:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_7 @ Y @ X @ E @ R ) <=>
% 0.57/0.82       ( ( zip_tseitin_4 @ Y @ X @ E ) => ( zip_tseitin_6 @ Y @ X @ R ) ) ))).
% 0.57/0.82  thf(zf_stmt_8, type, zip_tseitin_6 : $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_9, type, zip_tseitin_5 : $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_10, type, zip_tseitin_4 : $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_11, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_12, axiom,
% 0.57/0.82    (![Z:$i,Y:$i,X:$i,E:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) <=>
% 0.57/0.82       ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) => ( zip_tseitin_2 @ Z @ Y @ X @ R ) ) ))).
% 0.57/0.82  thf(zf_stmt_13, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_14, axiom,
% 0.57/0.82    (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_2 @ Z @ Y @ X @ R ) <=>
% 0.57/0.82       ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) => ( apply @ R @ X @ Z ) ) ))).
% 0.57/0.82  thf(zf_stmt_15, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_16, axiom,
% 0.57/0.82    (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.57/0.82     ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) <=>
% 0.57/0.82       ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ Z ) ) ))).
% 0.57/0.82  thf(zf_stmt_17, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 0.57/0.82  thf(zf_stmt_18, axiom,
% 0.57/0.82    (![Z:$i,Y:$i,X:$i,E:$i]:
% 0.57/0.82     ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) <=>
% 0.57/0.82       ( ( member @ X @ E ) & ( member @ Y @ E ) & ( member @ Z @ E ) ) ))).
% 0.57/0.82  thf(zf_stmt_19, axiom,
% 0.57/0.82    (![R:$i,E:$i]:
% 0.57/0.82     ( ( order @ R @ E ) <=>
% 0.57/0.82       ( ( ![X:$i]: ( zip_tseitin_8 @ X @ E @ R ) ) & 
% 0.57/0.82         ( ![X:$i,Y:$i]: ( zip_tseitin_7 @ Y @ X @ E @ R ) ) & 
% 0.57/0.82         ( ![X:$i,Y:$i,Z:$i]: ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) ) ) ))).
% 0.57/0.82  thf(zip_derived_cl29, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82         ( (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3) | ~ (order @ X3 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.57/0.82  thf(zip_derived_cl82, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i]:  (zip_tseitin_7 @ X1 @ X0 @ sk__17 @ sk__16)),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl29])).
% 0.57/0.82  thf(zip_derived_cl22, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82         (~ (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.57/0.82          |  (zip_tseitin_6 @ X0 @ X1 @ X3)
% 0.57/0.82          | ~ (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3))),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.82  thf(zip_derived_cl149, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i]:
% 0.57/0.82         ( (zip_tseitin_6 @ X1 @ X0 @ sk__16)
% 0.57/0.82          | ~ (zip_tseitin_4 @ X1 @ X0 @ sk__17))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl22])).
% 0.57/0.82  thf(zip_derived_cl150, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i]:
% 0.57/0.82         (~ (member @ X0 @ sk__17)
% 0.57/0.82          | ~ (member @ X1 @ sk__17)
% 0.57/0.82          |  (zip_tseitin_6 @ X1 @ X0 @ sk__16))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl149])).
% 0.57/0.82  thf(zip_derived_cl158, plain,
% 0.57/0.82      (![X0 : $i]:
% 0.57/0.82         ( (zip_tseitin_6 @ X0 @ sk__18 @ sk__16) | ~ (member @ X0 @ sk__17))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl150])).
% 0.57/0.82  thf(zip_derived_cl212, plain,
% 0.57/0.82      (![X0 : $i]:
% 0.57/0.82         (~ (apply @ sk__16 @ X0 @ sk__18)
% 0.57/0.82          | ((sk__18) = (X0))
% 0.57/0.82          | ~ (member @ X0 @ sk__17))),
% 0.57/0.82      inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl158])).
% 0.57/0.82  thf(zip_derived_cl220, plain,
% 0.57/0.82      ((((sk__18) = (sk__13 @ sk__18 @ sk__17 @ sk__16))
% 0.57/0.82        | ~ (apply @ sk__16 @ (sk__13 @ sk__18 @ sk__17 @ sk__16) @ sk__18))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl212])).
% 0.57/0.82  thf(zip_derived_cl60, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (min @ X0 @ X1 @ X2)
% 0.57/0.82          |  (apply @ X1 @ (sk__13 @ X0 @ X2 @ X1) @ X0)
% 0.57/0.82          | ~ (member @ X0 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [min])).
% 0.57/0.82  thf(zip_derived_cl74, plain, (~ (min @ sk__18 @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(zip_derived_cl94, plain,
% 0.57/0.82      ((~ (member @ sk__18 @ sk__17)
% 0.57/0.82        |  (apply @ sk__16 @ (sk__13 @ sk__18 @ sk__17 @ sk__16) @ sk__18))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl74])).
% 0.57/0.82  thf(zip_derived_cl79, plain, ( (member @ sk__18 @ sk__17)),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl48])).
% 0.57/0.82  thf(zip_derived_cl95, plain,
% 0.57/0.82      ( (apply @ sk__16 @ (sk__13 @ sk__18 @ sk__17 @ sk__16) @ sk__18)),
% 0.57/0.82      inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl79])).
% 0.57/0.82  thf(zip_derived_cl222, plain,
% 0.57/0.82      (((sk__18) = (sk__13 @ sk__18 @ sk__17 @ sk__16))),
% 0.57/0.82      inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl95])).
% 0.57/0.82  thf(zip_derived_cl61, plain,
% 0.57/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82         ( (min @ X0 @ X1 @ X2)
% 0.57/0.82          | ((X0) != (sk__13 @ X0 @ X2 @ X1))
% 0.57/0.82          | ~ (member @ X0 @ X2))),
% 0.57/0.82      inference('cnf', [status(esa)], [min])).
% 0.57/0.82  thf(zip_derived_cl74, plain, (~ (min @ sk__18 @ sk__16 @ sk__17)),
% 0.57/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82  thf(zip_derived_cl192, plain,
% 0.57/0.82      ((~ (member @ sk__18 @ sk__17)
% 0.57/0.82        | ((sk__18) != (sk__13 @ sk__18 @ sk__17 @ sk__16)))),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl74])).
% 0.57/0.82  thf(zip_derived_cl79, plain, ( (member @ sk__18 @ sk__17)),
% 0.57/0.82      inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl48])).
% 0.57/0.82  thf(zip_derived_cl194, plain,
% 0.57/0.82      (((sk__18) != (sk__13 @ sk__18 @ sk__17 @ sk__16))),
% 0.57/0.82      inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl79])).
% 0.57/0.82  thf(zip_derived_cl224, plain, ($false),
% 0.57/0.82      inference('simplify_reflect-', [status(thm)],
% 0.57/0.82                [zip_derived_cl222, zip_derived_cl194])).
% 0.57/0.82  
% 0.57/0.82  % SZS output end Refutation
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 2.06/0.94  % Runner terminated.
% 2.06/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------