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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL962^16 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z7RcFnpAQ3 true

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:41 PM UTC 2026

% Result   : Theorem 0.53s 0.80s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL962^16 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z7RcFnpAQ3 true
% 0.11/0.38  % Computer : n029.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sat Sep  5 21:18:40 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  % Running portfolio for 300 s
% 0.11/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  % Number of cores: 8
% 0.11/0.39  % Python version: Python 3.12.3
% 0.11/0.40  % Running in HO mode
% 0.46/0.69  % Total configuration time : 828
% 0.46/0.69  % Estimated wc time : 1656
% 0.46/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.80  % Solved by lams/40_c.s.sh.
% 0.53/0.80  % done 25 iterations in 0.020s
% 0.53/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.80  % SZS output start Refutation
% 0.53/0.80  thf(mworld_type, type, mworld: $tType).
% 0.53/0.80  thf(mindex_type, type, mindex: $tType).
% 0.53/0.80  thf('#a_type', type, '#a': mindex).
% 0.53/0.80  thf(mimplies_type, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.53/0.80  thf(mnot_type, type, mnot: (mworld > $o) > mworld > $o).
% 0.53/0.80  thf(mrel_type, type, mrel: mindex > mworld > mworld > $o).
% 0.53/0.80  thf(mlocal_type, type, mlocal: (mworld > $o) > $o).
% 0.53/0.80  thf(mactual_type, type, mactual: mworld).
% 0.53/0.80  thf(p_type, type, p: mworld > $o).
% 0.53/0.80  thf('#b_type', type, '#b': mindex).
% 0.53/0.80  thf(sk__2_type, type, sk__2: mworld > mworld).
% 0.53/0.80  thf(sk__3_type, type, sk__3: mworld).
% 0.53/0.80  thf(mbox_type, type, mbox: mindex > (mworld > $o) > mworld > $o).
% 0.53/0.80  thf(mnot_def, axiom,(( mnot  ) =
% 0.53/0.80    (^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) )))).
% 0.53/0.80  thf('0', plain,
% 0.53/0.80      (( mnot ) = ( ^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) ) )),
% 0.53/0.80      inference('simplify_rw_rule', [status(thm)], [mnot_def])).
% 0.53/0.80  thf('1', plain,
% 0.53/0.80      (( mnot ) = ( ^[V_1:( mworld > $o ),V_2:mworld]: ( ~( V_1 @ V_2 ) ) )),
% 0.53/0.80      define([status(thm)])).
% 0.53/0.80  thf(mlocal_def, axiom,(( mlocal  ) =
% 0.53/0.80    (^[Phi:( mworld > $o )]: ( Phi @ mactual )))).
% 0.53/0.80  thf('2', plain, (( mlocal ) = ( ^[Phi:( mworld > $o )]: ( Phi @ mactual ) )),
% 0.53/0.80      inference('simplify_rw_rule', [status(thm)], [mlocal_def])).
% 0.53/0.80  thf('3', plain, (( mlocal ) = ( ^[V_1:( mworld > $o )]: ( V_1 @ mactual ) )),
% 0.53/0.80      define([status(thm)])).
% 0.53/0.80  thf(not_a_axiom_1, axiom, (mlocal @ ( mnot @ p ))).
% 0.53/0.80  thf(zf_stmt_0, axiom, (~( p @ mactual ))).
% 0.53/0.80  thf(zip_derived_cl7, plain, (~ (p @ mactual)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.80  thf(mbox_def, axiom,(( mbox  ) =
% 0.53/0.80    (^[R:mindex,Phi:( mworld > $o ),W:mworld]:
% 0.53/0.80     ( ![V:mworld]: ( ( mrel @ R @ W @ V ) => ( Phi @ V ) ) )))).
% 0.53/0.80  thf('4', plain,
% 0.53/0.80      (( mbox ) =
% 0.53/0.80       ( ^[R:mindex,Phi:( mworld > $o ),W:mworld]:
% 0.53/0.80         ( ![V:mworld]: ( ( mrel @ R @ W @ V ) => ( Phi @ V ) ) ) )),
% 0.53/0.80      inference('simplify_rw_rule', [status(thm)], [mbox_def])).
% 0.53/0.80  thf('5', plain,
% 0.53/0.80      (( mbox ) =
% 0.53/0.80       ( ^[V_1:mindex,V_2:( mworld > $o ),V_3:mworld]:
% 0.53/0.80         ( ![X4:mworld]: ( ( mrel @ V_1 @ V_3 @ X4 ) => ( V_2 @ X4 ) ) ) )),
% 0.53/0.80      define([status(thm)])).
% 0.53/0.80  thf(conj, conjecture, (mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ))).
% 0.53/0.80  thf(zf_stmt_1, conjecture,
% 0.53/0.80    (![X4:mworld]: ( ( mrel @ '#a' @ mactual @ X4 ) => ( ~( p @ X4 ) ) ))).
% 0.53/0.80  thf(zf_stmt_2, negated_conjecture,
% 0.53/0.80    (~( ![X4:mworld]: ( ( mrel @ '#a' @ mactual @ X4 ) => ( ~( p @ X4 ) ) ) )),
% 0.53/0.80    inference('cnf.neg', [status(esa)], [zf_stmt_1])).
% 0.53/0.80  thf(zip_derived_cl8, plain, ( (mrel @ '#a' @ mactual @ sk__3)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.80  thf(mimplies_def, axiom,(( mimplies  ) =
% 0.53/0.80    (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]:
% 0.53/0.80     ( ( A @ W ) => ( B @ W ) )))).
% 0.53/0.80  thf('6', plain,
% 0.53/0.80      (( mimplies ) =
% 0.53/0.80       ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]:
% 0.53/0.80         ( ( A @ W ) => ( B @ W ) ) )),
% 0.53/0.80      inference('simplify_rw_rule', [status(thm)], [mimplies_def])).
% 0.53/0.80  thf('7', plain,
% 0.53/0.80      (( mimplies ) =
% 0.53/0.80       ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]:
% 0.53/0.80         ( ( V_1 @ V_3 ) => ( V_2 @ V_3 ) ) )),
% 0.53/0.80      define([status(thm)])).
% 0.53/0.80  thf(ab_axiom_2, axiom,
% 0.53/0.80    (mlocal @
% 0.53/0.80     ( mimplies @
% 0.53/0.80       ( mnot @ ( mbox @ '#b' @ p ) ) @ 
% 0.53/0.80       ( mbox @ '#a' @ ( mnot @ ( mbox @ '#b' @ p ) ) ) ))).
% 0.53/0.80  thf(zf_stmt_3, axiom,
% 0.53/0.80    (( ~( ![X4:mworld]: ( ( mrel @ '#b' @ mactual @ X4 ) => ( p @ X4 ) ) ) ) =>
% 0.53/0.80     ( ![X6:mworld]:
% 0.53/0.80       ( ( mrel @ '#a' @ mactual @ X6 ) =>
% 0.53/0.80         ( ~( ![X8:mworld]: ( ( mrel @ '#b' @ X6 @ X8 ) => ( p @ X8 ) ) ) ) ) ))).
% 0.53/0.80  thf(zip_derived_cl6, plain,
% 0.53/0.80      (![X0 : mworld, X1 : mworld]:
% 0.53/0.80         (~ (mrel @ '#a' @ mactual @ X0)
% 0.53/0.80          | ~ (p @ (sk__2 @ X0))
% 0.53/0.80          | ~ (mrel @ '#b' @ mactual @ X1)
% 0.53/0.80          |  (p @ X1))),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.80  thf(zip_derived_cl16, plain,
% 0.53/0.80      (![X0 : mworld]:
% 0.53/0.80         ( (p @ X0) | ~ (mrel @ '#b' @ mactual @ X0) | ~ (p @ (sk__2 @ sk__3)))),
% 0.53/0.80      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.53/0.80  thf('mrel_#b_reflexive', axiom, (![W:mworld]: ( mrel @ '#b' @ W @ W ))).
% 0.53/0.80  thf(zip_derived_cl0, plain, (![X0 : mworld]:  (mrel @ '#b' @ X0 @ X0)),
% 0.53/0.80      inference('cnf', [status(esa)], [mrel_#b_reflexive])).
% 0.53/0.80  thf(zip_derived_cl8, plain, ( (mrel @ '#a' @ mactual @ sk__3)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.80  thf(zip_derived_cl5, plain,
% 0.53/0.80      (![X0 : mworld, X1 : mworld]:
% 0.53/0.80         (~ (mrel @ '#a' @ mactual @ X0)
% 0.53/0.80          |  (mrel @ '#b' @ X0 @ (sk__2 @ X0))
% 0.53/0.80          | ~ (mrel @ '#b' @ mactual @ X1)
% 0.53/0.80          |  (p @ X1))),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.80  thf(zip_derived_cl10, plain,
% 0.53/0.80      (![X0 : mworld]:
% 0.53/0.80         ( (p @ X0)
% 0.53/0.80          | ~ (mrel @ '#b' @ mactual @ X0)
% 0.53/0.80          |  (mrel @ '#b' @ sk__3 @ (sk__2 @ sk__3)))),
% 0.53/0.80      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.53/0.80  thf(zip_derived_cl42, plain,
% 0.53/0.80      (( (mrel @ '#b' @ sk__3 @ (sk__2 @ sk__3)) |  (p @ mactual))),
% 0.53/0.80      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 0.53/0.80  thf(zip_derived_cl7, plain, (~ (p @ mactual)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.80  thf(zip_derived_cl44, plain, ( (mrel @ '#b' @ sk__3 @ (sk__2 @ sk__3))),
% 0.53/0.80      inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 0.53/0.80  thf(ab_axiom_1, axiom,
% 0.53/0.80    (mlocal @ ( mbox @ '#a' @ ( mimplies @ p @ ( mbox @ '#b' @ p ) ) ))).
% 0.53/0.80  thf(zf_stmt_4, axiom,
% 0.53/0.80    (![X4:mworld]:
% 0.53/0.80     ( ( mrel @ '#a' @ mactual @ X4 ) =>
% 0.53/0.80       ( ( p @ X4 ) =>
% 0.53/0.80         ( ![X6:mworld]: ( ( mrel @ '#b' @ X4 @ X6 ) => ( p @ X6 ) ) ) ) ))).
% 0.53/0.80  thf(zip_derived_cl4, plain,
% 0.53/0.80      (![X0 : mworld, X1 : mworld]:
% 0.53/0.80         (~ (p @ X0)
% 0.53/0.80          | ~ (mrel @ '#b' @ X0 @ X1)
% 0.53/0.80          |  (p @ X1)
% 0.53/0.80          | ~ (mrel @ '#a' @ mactual @ X0))),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.80  thf(zip_derived_cl46, plain,
% 0.53/0.80      ((~ (mrel @ '#a' @ mactual @ sk__3)
% 0.53/0.80        |  (p @ (sk__2 @ sk__3))
% 0.53/0.80        | ~ (p @ sk__3))),
% 0.53/0.80      inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl4])).
% 0.53/0.80  thf(zip_derived_cl8, plain, ( (mrel @ '#a' @ mactual @ sk__3)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.80  thf(zip_derived_cl9, plain, ( (p @ sk__3)),
% 0.53/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.80  thf(zip_derived_cl50, plain, ( (p @ (sk__2 @ sk__3))),
% 0.53/0.80      inference('demod', [status(thm)],
% 0.53/0.80                [zip_derived_cl46, zip_derived_cl8, zip_derived_cl9])).
% 0.53/0.80  thf(zip_derived_cl52, plain,
% 0.53/0.80      (![X0 : mworld]: ( (p @ X0) | ~ (mrel @ '#b' @ mactual @ X0))),
% 0.53/0.80      inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl50])).
% 0.53/0.80  thf(zip_derived_cl0, plain, (![X0 : mworld]:  (mrel @ '#b' @ X0 @ X0)),
% 0.53/0.80      inference('cnf', [status(esa)], [mrel_#b_reflexive])).
% 0.53/0.80  thf(zip_derived_cl53, plain, ( (p @ mactual)),
% 0.53/0.80      inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 0.53/0.80  thf(zip_derived_cl57, plain, ($false),
% 0.53/0.80      inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl53])).
% 0.53/0.80  
% 0.53/0.80  % SZS output end Refutation
% 0.53/0.80  
% 0.53/0.80  
% 0.53/0.80  % Terminating...
% 0.53/0.84  % Runner terminated.
% 0.53/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------