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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN062+1 : TPTP v9.2.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WuPF5YpnGq true

% Computer : n006.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 04:48:55 PM UTC 2025

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUN062+1 : TPTP v9.2.0. Bugfixed v7.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WuPF5YpnGq true
% 0.13/0.34  % Computer : n006.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  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 12:11:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.55/0.62  % Total configuration time : 435
% 0.55/0.62  % Estimated wc time : 1092
% 0.55/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76  % Solved by fo/fo3_bce.sh.
% 0.55/0.76  % BCE start: 69
% 0.55/0.76  % BCE eliminated: 0
% 0.55/0.76  % PE start: 69
% 0.55/0.76  logic: neq
% 0.55/0.76  % PE eliminated: 25
% 0.55/0.76  % done 74 iterations in 0.040s
% 0.55/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76  % SZS output start Refutation
% 0.55/0.76  thf(sk__21_type, type, sk__21: $i > $i).
% 0.55/0.76  thf(sk__7_type, type, sk__7: $i > $i > $i).
% 0.55/0.76  thf(sk__20_type, type, sk__20: $i).
% 0.55/0.76  thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 0.55/0.76  thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.55/0.76  thf(sk__5_type, type, sk__5: $i > $i > $i).
% 0.55/0.76  thf(id_type, type, id: $i > $i > $o).
% 0.55/0.76  thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 0.55/0.76  thf(r1_type, type, r1: $i > $o).
% 0.55/0.76  thf(r2_type, type, r2: $i > $i > $o).
% 0.55/0.76  thf(axiom_1a, axiom,
% 0.55/0.76    (![X1:$i,X8:$i]:
% 0.55/0.76     ( ?[Y4:$i]:
% 0.55/0.76       ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) & 
% 0.55/0.76         ( ?[Y5:$i]:
% 0.55/0.76           ( ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) & 
% 0.55/0.76             ( id @ Y5 @ Y4 ) ) ) ) ))).
% 0.55/0.76  thf(zip_derived_cl43, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:  (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.76  thf(axiom_7a, axiom,
% 0.55/0.76    (![X7:$i,Y10:$i]:
% 0.55/0.76     ( ( ~( r2 @ X7 @ Y10 ) ) | 
% 0.55/0.76       ( ![Y20:$i]: ( ( ~( r1 @ Y20 ) ) | ( ~( id @ Y20 @ Y10 ) ) ) ) ))).
% 0.55/0.76  thf(zip_derived_cl66, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76         (~ (r2 @ X0 @ X1) | ~ (id @ X2 @ X1) | ~ (r1 @ X2))),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_7a])).
% 0.55/0.76  thf(axiom_8, axiom,
% 0.55/0.76    (![X26:$i,X27:$i]:
% 0.55/0.76     ( ( ~( id @ X26 @ X27 ) ) | ( ( ~( r1 @ X26 ) ) & ( ~( r1 @ X27 ) ) ) | 
% 0.55/0.76       ( ( r1 @ X26 ) & ( r1 @ X27 ) ) ))).
% 0.55/0.76  thf(zf_stmt_0, type, zip_tseitin_9 : $i > $i > $o).
% 0.55/0.76  thf(zf_stmt_1, axiom,
% 0.55/0.76    (![X27:$i,X26:$i]:
% 0.55/0.76     ( ( zip_tseitin_9 @ X27 @ X26 ) => ( ( r1 @ X27 ) & ( r1 @ X26 ) ) ))).
% 0.55/0.76  thf(zf_stmt_2, type, zip_tseitin_8 : $i > $i > $o).
% 0.55/0.76  thf(zf_stmt_3, axiom,
% 0.55/0.76    (![X27:$i,X26:$i]:
% 0.55/0.76     ( ( zip_tseitin_8 @ X27 @ X26 ) =>
% 0.55/0.76       ( ( ~( r1 @ X27 ) ) & ( ~( r1 @ X26 ) ) ) ))).
% 0.55/0.76  thf(zf_stmt_4, axiom,
% 0.55/0.76    (![X26:$i,X27:$i]:
% 0.55/0.76     ( ( zip_tseitin_9 @ X27 @ X26 ) | ( zip_tseitin_8 @ X27 @ X26 ) | 
% 0.55/0.76       ( ~( id @ X26 @ X27 ) ) ))).
% 0.55/0.76  thf(zip_derived_cl27, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:
% 0.55/0.76         ( (zip_tseitin_9 @ X0 @ X1)
% 0.55/0.76          |  (zip_tseitin_8 @ X0 @ X1)
% 0.55/0.76          | ~ (id @ X1 @ X0))),
% 0.55/0.76      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.76  thf(zip_derived_cl23, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_8 @ X0 @ X1))),
% 0.55/0.76      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.76  thf(zip_derived_cl79, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:
% 0.55/0.76         (~ (id @ X1 @ X0) |  (zip_tseitin_9 @ X0 @ X1) | ~ (r1 @ X0))),
% 0.55/0.76      inference('dp-resolution', [status(thm)],
% 0.55/0.76                [zip_derived_cl27, zip_derived_cl23])).
% 0.55/0.76  thf(zip_derived_cl26, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_9 @ X1 @ X0))),
% 0.55/0.76      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76  thf(zip_derived_cl108, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) |  (r1 @ X0))),
% 0.55/0.76      inference('dp-resolution', [status(thm)],
% 0.55/0.76                [zip_derived_cl79, zip_derived_cl26])).
% 0.55/0.76  thf(zip_derived_cl46, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:  (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.76  thf(infiniteNumbersid, conjecture,
% 0.55/0.76    (![X1:$i]:
% 0.55/0.76     ( ?[Y2:$i,Y1:$i]:
% 0.55/0.76       ( ( ?[Y3:$i]: ( ( r3 @ X1 @ Y1 @ Y3 ) & ( id @ Y3 @ Y2 ) ) ) & 
% 0.55/0.76         ( ![Y4:$i]: ( ( ~( r1 @ Y4 ) ) | ( ~( id @ Y1 @ Y4 ) ) ) ) ) ))).
% 0.55/0.76  thf(zf_stmt_5, negated_conjecture,
% 0.55/0.76    (~( ![X1:$i]:
% 0.55/0.76        ( ?[Y2:$i,Y1:$i]:
% 0.55/0.76          ( ( ?[Y3:$i]: ( ( r3 @ X1 @ Y1 @ Y3 ) & ( id @ Y3 @ Y2 ) ) ) & 
% 0.55/0.76            ( ![Y4:$i]: ( ( ~( r1 @ Y4 ) ) | ( ~( id @ Y1 @ Y4 ) ) ) ) ) ) )),
% 0.55/0.76    inference('cnf.neg', [status(esa)], [infiniteNumbersid])).
% 0.55/0.76  thf(zip_derived_cl67, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76         (~ (id @ X0 @ X1)
% 0.55/0.76          | ~ (r3 @ sk__20 @ X2 @ X0)
% 0.55/0.76          |  (id @ X2 @ (sk__21 @ X2)))),
% 0.55/0.76      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.76  thf(zip_derived_cl249, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:
% 0.55/0.76         ( (id @ X0 @ (sk__21 @ X0)) | ~ (id @ (sk__5 @ X0 @ sk__20) @ X1))),
% 0.55/0.76      inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl67])).
% 0.55/0.76  thf(axiom_5, axiom, (![X20:$i]: ( id @ X20 @ X20 ))).
% 0.55/0.76  thf(zip_derived_cl20, plain, (![X0 : $i]:  (id @ X0 @ X0)),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_5])).
% 0.55/0.76  thf(zip_derived_cl274, plain, (![X0 : $i]:  (id @ X0 @ (sk__21 @ X0))),
% 0.55/0.76      inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl20])).
% 0.55/0.76  thf(zip_derived_cl288, plain,
% 0.55/0.76      (![X0 : $i]: ( (r1 @ X0) | ~ (r1 @ (sk__21 @ X0)))),
% 0.55/0.76      inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl274])).
% 0.55/0.76  thf(zip_derived_cl46, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:  (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.76  thf(zip_derived_cl68, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76         (~ (id @ X0 @ X1) | ~ (r3 @ sk__20 @ X2 @ X0) |  (r1 @ (sk__21 @ X2)))),
% 0.55/0.76      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.76  thf(zip_derived_cl184, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i]:
% 0.55/0.76         ( (r1 @ (sk__21 @ X0)) | ~ (id @ (sk__5 @ X0 @ sk__20) @ X1))),
% 0.55/0.76      inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl68])).
% 0.55/0.76  thf(zip_derived_cl20, plain, (![X0 : $i]:  (id @ X0 @ X0)),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_5])).
% 0.55/0.76  thf(zip_derived_cl208, plain, (![X0 : $i]:  (r1 @ (sk__21 @ X0))),
% 0.55/0.76      inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 0.55/0.76  thf(zip_derived_cl290, plain, (![X0 : $i]:  (r1 @ X0)),
% 0.55/0.76      inference('demod', [status(thm)], [zip_derived_cl288, zip_derived_cl208])).
% 0.55/0.76  thf(zip_derived_cl292, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i, X2 : $i]: (~ (r2 @ X0 @ X1) | ~ (id @ X2 @ X1))),
% 0.55/0.76      inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl290])).
% 0.55/0.76  thf(zip_derived_cl308, plain,
% 0.55/0.76      (![X0 : $i, X1 : $i, X2 : $i]: ~ (id @ X2 @ (sk__7 @ X1 @ X0))),
% 0.55/0.76      inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl292])).
% 0.55/0.76  thf(zip_derived_cl20, plain, (![X0 : $i]:  (id @ X0 @ X0)),
% 0.55/0.76      inference('cnf', [status(esa)], [axiom_5])).
% 0.55/0.76  thf(zip_derived_cl311, plain, ($false),
% 0.55/0.76      inference('sup+', [status(thm)], [zip_derived_cl308, zip_derived_cl20])).
% 0.55/0.76  
% 0.55/0.76  % SZS output end Refutation
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  % Terminating...
% 0.60/0.83  % Runner terminated.
% 0.60/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------