↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW101+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dIB7cWNQzC true

% Computer : n009.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 05:02:22 PM UTC 2025

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW101+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dIB7cWNQzC true
% 0.13/0.34  % Computer : n009.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 12:05:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/0.83  % Solved by fo/fo7.sh.
% 0.57/0.83  % done 147 iterations in 0.054s
% 0.57/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83  % SZS output start Refutation
% 0.57/0.83  thf(d_type, type, d: $i > $o).
% 0.57/0.83  thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $o).
% 0.57/0.83  thf(sk__6_type, type, sk__6: $i).
% 0.57/0.83  thf(bool_type, type, bool: $i > $o).
% 0.57/0.83  thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.57/0.83  thf(true_type, type, true: $i).
% 0.57/0.83  thf(false_type, type, false: $i).
% 0.57/0.83  thf(forallprefers_type, type, forallprefers: $i > $i > $o).
% 0.57/0.83  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.57/0.83  thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $o).
% 0.57/0.83  thf(lazy_impl_type, type, lazy_impl: $i > $i > $i).
% 0.57/0.83  thf(err_type, type, err: $i).
% 0.57/0.83  thf(phi_type, type, phi: $i > $i).
% 0.57/0.83  thf(false1_type, type, false1: $i).
% 0.57/0.83  thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.57/0.83  thf(f7_type, type, f7: $i > $i).
% 0.57/0.83  thf(prop_type, type, prop: $i > $i).
% 0.57/0.83  thf(false2_type, type, false2: $i).
% 0.57/0.83  thf(def_phi, axiom,
% 0.57/0.83    (![X:$i]:
% 0.57/0.83     ( ( ( d @ X ) & ( ( phi @ X ) = ( X ) ) ) | 
% 0.57/0.83       ( ( ~( d @ X ) ) & ( ( phi @ X ) = ( err ) ) ) ))).
% 0.57/0.83  thf(zf_stmt_0, type, zip_tseitin_7 : $i > $o).
% 0.57/0.83  thf(zf_stmt_1, axiom,
% 0.57/0.83    (![X:$i]:
% 0.57/0.83     ( ( zip_tseitin_7 @ X ) => ( ( ( phi @ X ) = ( err ) ) & ( ~( d @ X ) ) ) ))).
% 0.57/0.83  thf(zf_stmt_2, type, zip_tseitin_6 : $i > $o).
% 0.57/0.83  thf(zf_stmt_3, axiom,
% 0.57/0.83    (![X:$i]:
% 0.57/0.83     ( ( zip_tseitin_6 @ X ) => ( ( ( phi @ X ) = ( X ) ) & ( d @ X ) ) ))).
% 0.57/0.83  thf(zf_stmt_4, axiom,
% 0.57/0.83    (![X:$i]: ( ( zip_tseitin_7 @ X ) | ( zip_tseitin_6 @ X ) ))).
% 0.57/0.83  thf(zip_derived_cl43, plain,
% 0.57/0.83      (![X0 : $i]: ( (zip_tseitin_7 @ X0) |  (zip_tseitin_6 @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.83  thf(zip_derived_cl42, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ~ (zip_tseitin_7 @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.83  thf(zip_derived_cl100, plain,
% 0.57/0.83      (![X0 : $i]: ( (zip_tseitin_6 @ X0) | ~ (d @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.83  thf(zip_derived_cl39, plain,
% 0.57/0.83      (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (zip_tseitin_6 @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.83  thf(zip_derived_cl103, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ((phi @ X0) = (X0)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl39])).
% 0.57/0.83  thf(zip_derived_cl103, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ((phi @ X0) = (X0)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl39])).
% 0.57/0.83  thf(def_forallprefers, axiom,
% 0.57/0.83    (![X:$i,Y:$i]:
% 0.57/0.83     ( ( forallprefers @ X @ Y ) <=>
% 0.57/0.83       ( ( ( ( Y ) = ( true ) ) & ( ( X ) = ( false ) ) ) | 
% 0.57/0.83         ( ( bool @ Y ) & ( ~( bool @ X ) ) & ( d @ Y ) & ( d @ X ) ) | 
% 0.57/0.83         ( ( d @ Y ) & ( ~( d @ X ) ) ) ) ))).
% 0.57/0.83  thf(zf_stmt_5, axiom,
% 0.57/0.83    (![Y:$i,X:$i]:
% 0.57/0.83     ( ( zip_tseitin_0 @ Y @ X ) <=>
% 0.57/0.83       ( ( ( X ) = ( false ) ) & ( ( Y ) = ( true ) ) ) ))).
% 0.57/0.83  thf(zip_derived_cl11, plain,
% 0.57/0.83      (![X0 : $i, X1 : $i]:
% 0.57/0.83         ( (zip_tseitin_0 @ X0 @ X1) | ((X0) != (true)) | ((X1) != (false)))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.83  thf(zf_stmt_6, type, zip_tseitin_2 : $i > $i > $o).
% 0.57/0.83  thf(zf_stmt_7, axiom,
% 0.57/0.83    (![Y:$i,X:$i]:
% 0.57/0.83     ( ( zip_tseitin_2 @ Y @ X ) <=> ( ( ~( d @ X ) ) & ( d @ Y ) ) ))).
% 0.57/0.83  thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > $o).
% 0.57/0.83  thf(zf_stmt_9, axiom,
% 0.57/0.83    (![Y:$i,X:$i]:
% 0.57/0.83     ( ( zip_tseitin_1 @ Y @ X ) <=>
% 0.57/0.83       ( ( d @ X ) & ( d @ Y ) & ( ~( bool @ X ) ) & ( bool @ Y ) ) ))).
% 0.57/0.83  thf(zf_stmt_10, type, zip_tseitin_0 : $i > $i > $o).
% 0.57/0.83  thf(zf_stmt_11, axiom,
% 0.57/0.83    (![X:$i,Y:$i]:
% 0.57/0.83     ( ( forallprefers @ X @ Y ) <=>
% 0.57/0.83       ( ( zip_tseitin_2 @ Y @ X ) | ( zip_tseitin_1 @ Y @ X ) | 
% 0.57/0.83         ( zip_tseitin_0 @ Y @ X ) ) ))).
% 0.57/0.83  thf(zip_derived_cl23, plain,
% 0.57/0.83      (![X0 : $i, X1 : $i]:
% 0.57/0.83         ( (forallprefers @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.83  thf(zip_derived_cl170, plain,
% 0.57/0.83      (![X0 : $i, X1 : $i]:
% 0.57/0.83         (((X0) != (false)) | ((X1) != (true)) |  (forallprefers @ X0 @ X1))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 0.57/0.83  thf(prop_true, axiom,
% 0.57/0.83    (![X:$i]: ( ( ( prop @ X ) = ( true ) ) <=> ( bool @ X ) ))).
% 0.57/0.83  thf(zip_derived_cl45, plain,
% 0.57/0.83      (![X0 : $i]: (((prop @ X0) = (true)) | ~ (bool @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [prop_true])).
% 0.57/0.83  thf(zip_derived_cl45, plain,
% 0.57/0.83      (![X0 : $i]: (((prop @ X0) = (true)) | ~ (bool @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [prop_true])).
% 0.57/0.83  thf(def_false2, axiom,
% 0.57/0.83    (?[P:$i]:
% 0.57/0.83     ( ( ~( ?[P1:$i]: ( forallprefers @ ( f7 @ P1 ) @ ( f7 @ P ) ) ) ) & 
% 0.57/0.83       ( ( false2 ) = ( phi @ ( f7 @ P ) ) ) ))).
% 0.57/0.83  thf(zip_derived_cl86, plain,
% 0.57/0.83      (![X0 : $i]: ~ (forallprefers @ (f7 @ X0) @ (f7 @ sk__6))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_false2])).
% 0.57/0.83  thf(def_f7, axiom,
% 0.57/0.83    (![P:$i]: ( ( f7 @ P ) = ( lazy_impl @ ( prop @ P ) @ P ) ))).
% 0.57/0.83  thf(zip_derived_cl84, plain,
% 0.57/0.83      (![X0 : $i]: ((f7 @ X0) = (lazy_impl @ (prop @ X0) @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_f7])).
% 0.57/0.83  thf(zip_derived_cl84, plain,
% 0.57/0.83      (![X0 : $i]: ((f7 @ X0) = (lazy_impl @ (prop @ X0) @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_f7])).
% 0.57/0.83  thf(zip_derived_cl97, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         ~ (forallprefers @ (lazy_impl @ (prop @ X0) @ X0) @ 
% 0.57/0.83            (lazy_impl @ (prop @ sk__6) @ sk__6))),
% 0.57/0.83      inference('demod', [status(thm)],
% 0.57/0.83                [zip_derived_cl86, zip_derived_cl84, zip_derived_cl84])).
% 0.57/0.83  thf(zip_derived_cl111, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (lazy_impl @ true @ X0) @ 
% 0.57/0.83             (lazy_impl @ (prop @ sk__6) @ sk__6))
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl97])).
% 0.57/0.83  thf(lazy_impl_axiom3, axiom,
% 0.57/0.83    (![B:$i]: ( ( lazy_impl @ true @ B ) = ( phi @ B ) ))).
% 0.57/0.83  thf(zip_derived_cl54, plain,
% 0.57/0.83      (![X0 : $i]: ((lazy_impl @ true @ X0) = (phi @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [lazy_impl_axiom3])).
% 0.57/0.83  thf(zip_derived_cl116, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (lazy_impl @ (prop @ sk__6) @ sk__6))
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl54])).
% 0.57/0.83  thf(zip_derived_cl149, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (lazy_impl @ true @ sk__6))
% 0.57/0.83          | ~ (bool @ sk__6)
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl116])).
% 0.57/0.83  thf(zip_derived_cl54, plain,
% 0.57/0.83      (![X0 : $i]: ((lazy_impl @ true @ X0) = (phi @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [lazy_impl_axiom3])).
% 0.57/0.83  thf(zip_derived_cl152, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (phi @ sk__6))
% 0.57/0.83          | ~ (bool @ sk__6)
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl54])).
% 0.57/0.83  thf(zip_derived_cl170, plain,
% 0.57/0.83      (![X0 : $i, X1 : $i]:
% 0.57/0.83         (((X0) != (false)) | ((X1) != (true)) |  (forallprefers @ X0 @ X1))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl23])).
% 0.57/0.83  thf(prop_false, axiom,
% 0.57/0.83    (![X:$i]: ( ( ( prop @ X ) = ( false ) ) <=> ( ~( bool @ X ) ) ))).
% 0.57/0.83  thf(zip_derived_cl47, plain,
% 0.57/0.83      (![X0 : $i]: (((prop @ X0) = (false)) |  (bool @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [prop_false])).
% 0.57/0.83  thf(zip_derived_cl103, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ((phi @ X0) = (X0)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl39])).
% 0.57/0.83  thf(zip_derived_cl116, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (lazy_impl @ (prop @ sk__6) @ sk__6))
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl54])).
% 0.57/0.83  thf(zip_derived_cl151, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ X0 @ (lazy_impl @ (prop @ sk__6) @ sk__6))
% 0.57/0.83          | ~ (d @ X0)
% 0.57/0.83          | ~ (bool @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl116])).
% 0.57/0.83  thf(zip_derived_cl155, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ X0 @ (lazy_impl @ false @ sk__6))
% 0.57/0.83          |  (bool @ sk__6)
% 0.57/0.83          | ~ (bool @ X0)
% 0.57/0.83          | ~ (d @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl151])).
% 0.57/0.83  thf(lazy_impl_axiom2, axiom,
% 0.57/0.83    (![B:$i]: ( ( lazy_impl @ false @ B ) = ( true ) ))).
% 0.57/0.83  thf(zip_derived_cl53, plain,
% 0.57/0.83      (![X0 : $i]: ((lazy_impl @ false @ X0) = (true))),
% 0.57/0.83      inference('cnf', [status(esa)], [lazy_impl_axiom2])).
% 0.57/0.83  thf(zip_derived_cl157, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ X0 @ true)
% 0.57/0.83          |  (bool @ sk__6)
% 0.57/0.83          | ~ (bool @ X0)
% 0.57/0.83          | ~ (d @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl53])).
% 0.57/0.83  thf(zip_derived_cl229, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (((true) != (true))
% 0.57/0.83          | ((X0) != (false))
% 0.57/0.83          | ~ (d @ X0)
% 0.57/0.83          | ~ (bool @ X0)
% 0.57/0.83          |  (bool @ sk__6))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl157])).
% 0.57/0.83  thf(zip_derived_cl242, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         ( (bool @ sk__6) | ~ (bool @ X0) | ~ (d @ X0) | ((X0) != (false)))),
% 0.57/0.83      inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.57/0.83  thf(def_bool, axiom,
% 0.57/0.83    (![X:$i]:
% 0.57/0.83     ( ( bool @ X ) <=> ( ( ( X ) = ( false ) ) | ( ( X ) = ( true ) ) ) ))).
% 0.57/0.83  thf(zip_derived_cl1, plain, (![X0 : $i]: ( (bool @ X0) | ((X0) != (false)))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_bool])).
% 0.57/0.83  thf(zip_derived_cl253, plain,
% 0.57/0.83      (![X0 : $i]: (((X0) != (false)) | ~ (d @ X0) |  (bool @ sk__6))),
% 0.57/0.83      inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl1])).
% 0.57/0.83  thf(zip_derived_cl255, plain, (( (bool @ sk__6) | ~ (d @ false))),
% 0.57/0.83      inference('eq_res', [status(thm)], [zip_derived_cl253])).
% 0.57/0.83  thf(false_true_err_in_d, axiom, (( d @ err ) & ( d @ false ) & ( d @ true ))).
% 0.57/0.83  thf(zip_derived_cl7, plain, ( (d @ false)),
% 0.57/0.83      inference('cnf', [status(esa)], [false_true_err_in_d])).
% 0.57/0.83  thf(zip_derived_cl256, plain, ( (bool @ sk__6)),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl7])).
% 0.57/0.83  thf(zip_derived_cl260, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (phi @ sk__6)) | ~ (bool @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl256])).
% 0.57/0.83  thf(zip_derived_cl0, plain,
% 0.57/0.83      (![X0 : $i]: (((X0) = (true)) | ((X0) = (false)) | ~ (bool @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_bool])).
% 0.57/0.83  thf(zip_derived_cl256, plain, ( (bool @ sk__6)),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl7])).
% 0.57/0.83  thf(zip_derived_cl265, plain, ((((sk__6) = (false)) | ((sk__6) = (true)))),
% 0.57/0.83      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl256])).
% 0.57/0.83  thf(zip_derived_cl103, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ((phi @ X0) = (X0)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl39])).
% 0.57/0.83  thf(zip_derived_cl45, plain,
% 0.57/0.83      (![X0 : $i]: (((prop @ X0) = (true)) | ~ (bool @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [prop_true])).
% 0.57/0.83  thf(zip_derived_cl103, plain,
% 0.57/0.83      (![X0 : $i]: (~ (d @ X0) | ((phi @ X0) = (X0)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl39])).
% 0.57/0.83  thf(false1_false2, conjecture, (( false1 ) = ( false2 ))).
% 0.57/0.83  thf(zf_stmt_12, negated_conjecture, (( false1 ) != ( false2 )),
% 0.57/0.83    inference('cnf.neg', [status(esa)], [false1_false2])).
% 0.57/0.83  thf(zip_derived_cl91, plain, (((false1) != (false2))),
% 0.57/0.83      inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.83  thf(def_false1, axiom, (( false1 ) = ( false ))).
% 0.57/0.83  thf(zip_derived_cl83, plain, (((false1) = (false))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_false1])).
% 0.57/0.83  thf(zip_derived_cl94, plain, (((false) != (false2))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 0.57/0.83  thf(zip_derived_cl85, plain, (((false2) = (phi @ (f7 @ sk__6)))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_false2])).
% 0.57/0.83  thf(zip_derived_cl95, plain, (((false) != (phi @ (f7 @ sk__6)))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl85])).
% 0.57/0.83  thf(zip_derived_cl84, plain,
% 0.57/0.83      (![X0 : $i]: ((f7 @ X0) = (lazy_impl @ (prop @ X0) @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_f7])).
% 0.57/0.83  thf(zip_derived_cl98, plain,
% 0.57/0.83      (((false) != (phi @ (lazy_impl @ (prop @ sk__6) @ sk__6)))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl84])).
% 0.57/0.83  thf(zip_derived_cl107, plain,
% 0.57/0.83      ((((false) != (lazy_impl @ (prop @ sk__6) @ sk__6))
% 0.57/0.83        | ~ (d @ (lazy_impl @ (prop @ sk__6) @ sk__6)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl98])).
% 0.57/0.83  thf(zip_derived_cl108, plain,
% 0.57/0.83      ((((false) != (lazy_impl @ (prop @ sk__6) @ sk__6)) | ~ (d @ false))),
% 0.57/0.83      inference('local_rewriting', [status(thm)], [zip_derived_cl107])).
% 0.57/0.83  thf(zip_derived_cl7, plain, ( (d @ false)),
% 0.57/0.83      inference('cnf', [status(esa)], [false_true_err_in_d])).
% 0.57/0.83  thf(zip_derived_cl120, plain,
% 0.57/0.83      (((false) != (lazy_impl @ (prop @ sk__6) @ sk__6))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl7])).
% 0.57/0.83  thf(zip_derived_cl121, plain,
% 0.57/0.83      ((((false) != (lazy_impl @ true @ sk__6)) | ~ (bool @ sk__6))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl120])).
% 0.57/0.83  thf(zip_derived_cl54, plain,
% 0.57/0.83      (![X0 : $i]: ((lazy_impl @ true @ X0) = (phi @ X0))),
% 0.57/0.83      inference('cnf', [status(esa)], [lazy_impl_axiom3])).
% 0.57/0.83  thf(zip_derived_cl122, plain,
% 0.57/0.83      ((((false) != (phi @ sk__6)) | ~ (bool @ sk__6))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl54])).
% 0.57/0.83  thf(zip_derived_cl123, plain,
% 0.57/0.83      ((((false) != (sk__6)) | ~ (d @ sk__6) | ~ (bool @ sk__6))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl122])).
% 0.57/0.83  thf(zip_derived_cl124, plain,
% 0.57/0.83      ((((false) != (sk__6)) | ~ (d @ false) | ~ (bool @ false))),
% 0.57/0.83      inference('local_rewriting', [status(thm)], [zip_derived_cl123])).
% 0.57/0.83  thf(zip_derived_cl7, plain, ( (d @ false)),
% 0.57/0.83      inference('cnf', [status(esa)], [false_true_err_in_d])).
% 0.57/0.83  thf(zip_derived_cl1, plain, (![X0 : $i]: ( (bool @ X0) | ((X0) != (false)))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_bool])).
% 0.57/0.83  thf(zip_derived_cl92, plain, ( (bool @ false)),
% 0.57/0.83      inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 0.57/0.83  thf(zip_derived_cl125, plain, (((false) != (sk__6))),
% 0.57/0.83      inference('demod', [status(thm)],
% 0.57/0.83                [zip_derived_cl124, zip_derived_cl7, zip_derived_cl92])).
% 0.57/0.83  thf(zip_derived_cl266, plain, (((sk__6) = (true))),
% 0.57/0.83      inference('simplify_reflect-', [status(thm)],
% 0.57/0.83                [zip_derived_cl265, zip_derived_cl125])).
% 0.57/0.83  thf(zip_derived_cl367, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (~ (forallprefers @ (phi @ X0) @ (phi @ true)) | ~ (bool @ X0))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl266])).
% 0.57/0.83  thf(zip_derived_cl368, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (((phi @ true) != (true)) | ((phi @ X0) != (false)) | ~ (bool @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl367])).
% 0.57/0.83  thf(zip_derived_cl375, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (((true) != (true))
% 0.57/0.83          | ~ (d @ true)
% 0.57/0.83          | ~ (bool @ X0)
% 0.57/0.83          | ((phi @ X0) != (false)))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl368])).
% 0.57/0.83  thf(zip_derived_cl8, plain, ( (d @ true)),
% 0.57/0.83      inference('cnf', [status(esa)], [false_true_err_in_d])).
% 0.57/0.83  thf(zip_derived_cl377, plain,
% 0.57/0.83      (![X0 : $i]:
% 0.57/0.83         (((true) != (true)) | ~ (bool @ X0) | ((phi @ X0) != (false)))),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl8])).
% 0.57/0.83  thf(zip_derived_cl378, plain,
% 0.57/0.83      (![X0 : $i]: (((phi @ X0) != (false)) | ~ (bool @ X0))),
% 0.57/0.83      inference('simplify', [status(thm)], [zip_derived_cl377])).
% 0.57/0.83  thf(zip_derived_cl379, plain,
% 0.57/0.83      (![X0 : $i]: (((X0) != (false)) | ~ (d @ X0) | ~ (bool @ X0))),
% 0.57/0.83      inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl378])).
% 0.57/0.83  thf(zip_derived_cl1, plain, (![X0 : $i]: ( (bool @ X0) | ((X0) != (false)))),
% 0.57/0.83      inference('cnf', [status(esa)], [def_bool])).
% 0.57/0.83  thf(zip_derived_cl382, plain, (![X0 : $i]: (~ (d @ X0) | ((X0) != (false)))),
% 0.57/0.83      inference('clc', [status(thm)], [zip_derived_cl379, zip_derived_cl1])).
% 0.57/0.83  thf(zip_derived_cl384, plain, (~ (d @ false)),
% 0.57/0.83      inference('eq_res', [status(thm)], [zip_derived_cl382])).
% 0.57/0.83  thf(zip_derived_cl7, plain, ( (d @ false)),
% 0.57/0.83      inference('cnf', [status(esa)], [false_true_err_in_d])).
% 0.57/0.83  thf(zip_derived_cl385, plain, ($false),
% 0.57/0.83      inference('demod', [status(thm)], [zip_derived_cl384, zip_derived_cl7])).
% 0.57/0.83  
% 0.57/0.83  % SZS output end Refutation
% 0.57/0.83  
% 0.57/0.83  
% 0.57/0.83  % Terminating...
% 0.57/0.85  % Runner terminated.
% 1.49/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------