%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW102+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.MChPr5rnSN true
% Computer : n017.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 1.90s 0.73s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW102+1 : TPTP v9.2.0. Released v5.2.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MChPr5rnSN true
% 0.09/0.27 % Computer : n017.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Wed Oct 1 12:08:23 EDT 2025
% 0.13/0.28 % CPUTime :
% 0.13/0.28 % Running portfolio for 300 s
% 0.13/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.28 % Number of cores: 8
% 0.13/0.28 % Python version: Python 3.6.8
% 0.13/0.28 % Running in FO mode
% 0.13/0.46 % Total configuration time : 435
% 0.13/0.46 % Estimated wc time : 1092
% 0.13/0.46 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.90/0.73 % Solved by fo/fo3_bce.sh.
% 1.90/0.73 % BCE start: 92
% 1.90/0.73 % BCE eliminated: 0
% 1.90/0.73 % PE start: 92
% 1.90/0.73 logic: eq
% 1.90/0.73 % PE eliminated: 18
% 1.90/0.73 % done 210 iterations in 0.168s
% 1.90/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.90/0.73 % SZS output start Refutation
% 1.90/0.73 thf(d_type, type, d: $i > $o).
% 1.90/0.73 thf(bool_type, type, bool: $i > $o).
% 1.90/0.73 thf(not2_type, type, not2: $i > $i).
% 1.90/0.73 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 1.90/0.73 thf(true_type, type, true: $i).
% 1.90/0.73 thf(not1_type, type, not1: $i > $i).
% 1.90/0.73 thf(false_type, type, false: $i).
% 1.90/0.73 thf(forallprefers_type, type, forallprefers: $i > $i > $o).
% 1.90/0.73 thf(sk__7_type, type, sk__7: $i).
% 1.90/0.73 thf(lazy_impl_type, type, lazy_impl: $i > $i > $i).
% 1.90/0.73 thf(impl_type, type, impl: $i > $i > $i).
% 1.90/0.73 thf(err_type, type, err: $i).
% 1.90/0.73 thf(sk__6_type, type, sk__6: $i).
% 1.90/0.73 thf(phi_type, type, phi: $i > $i).
% 1.90/0.73 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 1.90/0.73 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $o).
% 1.90/0.73 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 1.90/0.73 thf(f7_type, type, f7: $i > $i).
% 1.90/0.73 thf(prop_type, type, prop: $i > $i).
% 1.90/0.73 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $o).
% 1.90/0.73 thf(false2_type, type, false2: $i).
% 1.90/0.73 thf(def_phi, axiom,
% 1.90/0.73 (![X:$i]:
% 1.90/0.73 ( ( ( d @ X ) & ( ( phi @ X ) = ( X ) ) ) |
% 1.90/0.73 ( ( ~( d @ X ) ) & ( ( phi @ X ) = ( err ) ) ) ))).
% 1.90/0.73 thf(zf_stmt_0, type, zip_tseitin_7 : $i > $o).
% 1.90/0.73 thf(zf_stmt_1, axiom,
% 1.90/0.73 (![X:$i]:
% 1.90/0.73 ( ( zip_tseitin_7 @ X ) => ( ( ( phi @ X ) = ( err ) ) & ( ~( d @ X ) ) ) ))).
% 1.90/0.73 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $o).
% 1.90/0.73 thf(zf_stmt_3, axiom,
% 1.90/0.73 (![X:$i]:
% 1.90/0.73 ( ( zip_tseitin_6 @ X ) => ( ( ( phi @ X ) = ( X ) ) & ( d @ X ) ) ))).
% 1.90/0.73 thf(zf_stmt_4, axiom,
% 1.90/0.73 (![X:$i]: ( ( zip_tseitin_7 @ X ) | ( zip_tseitin_6 @ X ) ))).
% 1.90/0.73 thf(zip_derived_cl43, plain,
% 1.90/0.73 (![X0 : $i]: ( (zip_tseitin_7 @ X0) | (zip_tseitin_6 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.90/0.73 thf(zip_derived_cl39, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (zip_tseitin_6 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.90/0.73 thf(zip_derived_cl357, plain,
% 1.90/0.73 (![X0 : $i]: ( (zip_tseitin_7 @ X0) | ((phi @ X0) = (X0)))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl43, zip_derived_cl39])).
% 1.90/0.73 thf(zip_derived_cl42, plain,
% 1.90/0.73 (![X0 : $i]: (~ (d @ X0) | ~ (zip_tseitin_7 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(prop_true, axiom,
% 1.90/0.73 (![X:$i]: ( ( ( prop @ X ) = ( true ) ) <=> ( bool @ X ) ))).
% 1.90/0.73 thf(zip_derived_cl45, plain,
% 1.90/0.73 (![X0 : $i]: (((prop @ X0) = (true)) | ~ (bool @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [prop_true])).
% 1.90/0.73 thf(def_f7, axiom,
% 1.90/0.73 (![P:$i]: ( ( f7 @ P ) = ( lazy_impl @ ( prop @ P ) @ P ) ))).
% 1.90/0.73 thf(zip_derived_cl84, plain,
% 1.90/0.73 (![X0 : $i]: ((f7 @ X0) = (lazy_impl @ (prop @ X0) @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_f7])).
% 1.90/0.73 thf(zip_derived_cl477, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (lazy_impl @ true @ X0)) | ~ (bool @ X0))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl84])).
% 1.90/0.73 thf(lazy_impl_axiom3, axiom,
% 1.90/0.73 (![B:$i]: ( ( lazy_impl @ true @ B ) = ( phi @ B ) ))).
% 1.90/0.73 thf(zip_derived_cl54, plain,
% 1.90/0.73 (![X0 : $i]: ((lazy_impl @ true @ X0) = (phi @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [lazy_impl_axiom3])).
% 1.90/0.73 thf(zip_derived_cl479, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (phi @ X0)) | ~ (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl54])).
% 1.90/0.73 thf(def_false2, axiom,
% 1.90/0.73 (?[P:$i]:
% 1.90/0.73 ( ( ~( ?[P1:$i]: ( forallprefers @ ( f7 @ P1 ) @ ( f7 @ P ) ) ) ) &
% 1.90/0.73 ( ( false2 ) = ( phi @ ( f7 @ P ) ) ) ))).
% 1.90/0.73 thf(zip_derived_cl85, plain, (((false2) = (phi @ (f7 @ sk__6)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_false2])).
% 1.90/0.73 thf(prop_false, axiom,
% 1.90/0.73 (![X:$i]: ( ( ( prop @ X ) = ( false ) ) <=> ( ~( bool @ X ) ) ))).
% 1.90/0.73 thf(zip_derived_cl47, plain,
% 1.90/0.73 (![X0 : $i]: (((prop @ X0) = (false)) | (bool @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [prop_false])).
% 1.90/0.73 thf(zip_derived_cl84, plain,
% 1.90/0.73 (![X0 : $i]: ((f7 @ X0) = (lazy_impl @ (prop @ X0) @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_f7])).
% 1.90/0.73 thf(zip_derived_cl478, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (lazy_impl @ false @ X0)) | (bool @ X0))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl84])).
% 1.90/0.73 thf(lazy_impl_axiom2, axiom,
% 1.90/0.73 (![B:$i]: ( ( lazy_impl @ false @ B ) = ( true ) ))).
% 1.90/0.73 thf(zip_derived_cl53, plain,
% 1.90/0.73 (![X0 : $i]: ((lazy_impl @ false @ X0) = (true))),
% 1.90/0.73 inference('cnf', [status(esa)], [lazy_impl_axiom2])).
% 1.90/0.73 thf(zip_derived_cl480, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (true)) | (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl478, zip_derived_cl53])).
% 1.90/0.73 thf(zip_derived_cl85, plain, (((false2) = (phi @ (f7 @ sk__6)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_false2])).
% 1.90/0.73 thf(zip_derived_cl596, plain,
% 1.90/0.73 ((((false2) = (phi @ true)) | (bool @ sk__6))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl85])).
% 1.90/0.73 thf(zip_derived_cl479, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (phi @ X0)) | ~ (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl54])).
% 1.90/0.73 thf(zip_derived_cl43, plain,
% 1.90/0.73 (![X0 : $i]: ( (zip_tseitin_7 @ X0) | (zip_tseitin_6 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.90/0.73 thf(zip_derived_cl40, plain,
% 1.90/0.73 (![X0 : $i]: ( (d @ X0) | ~ (zip_tseitin_6 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.90/0.73 thf(zip_derived_cl358, plain,
% 1.90/0.73 (![X0 : $i]: ( (zip_tseitin_7 @ X0) | (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl43, zip_derived_cl40])).
% 1.90/0.73 thf(zip_derived_cl41, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (err)) | ~ (zip_tseitin_7 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.90/0.73 thf(zip_derived_cl361, plain,
% 1.90/0.73 (![X0 : $i]: ( (d @ X0) | ((phi @ X0) = (err)))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl358, zip_derived_cl41])).
% 1.90/0.73 thf(zip_derived_cl85, plain, (((false2) = (phi @ (f7 @ sk__6)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_false2])).
% 1.90/0.73 thf(zip_derived_cl475, plain, ((((false2) = (err)) | (d @ (f7 @ sk__6)))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl361, zip_derived_cl85])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl85, plain, (((false2) = (phi @ (f7 @ sk__6)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_false2])).
% 1.90/0.73 thf(zip_derived_cl464, plain,
% 1.90/0.73 ((((false2) = (f7 @ sk__6)) | ~ (d @ (f7 @ sk__6)))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl85])).
% 1.90/0.73 thf(zip_derived_cl868, plain,
% 1.90/0.73 ((((false2) = (err)) | ((false2) = (f7 @ sk__6)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl464])).
% 1.90/0.73 thf(def_forallprefers, axiom,
% 1.90/0.73 (![X:$i,Y:$i]:
% 1.90/0.73 ( ( forallprefers @ X @ Y ) <=>
% 1.90/0.73 ( ( ( ( Y ) = ( true ) ) & ( ( X ) = ( false ) ) ) |
% 1.90/0.73 ( ( bool @ Y ) & ( ~( bool @ X ) ) & ( d @ Y ) & ( d @ X ) ) |
% 1.90/0.73 ( ( d @ Y ) & ( ~( d @ X ) ) ) ) ))).
% 1.90/0.73 thf(zf_stmt_5, axiom,
% 1.90/0.73 (![Y:$i,X:$i]:
% 1.90/0.73 ( ( zip_tseitin_0 @ Y @ X ) <=>
% 1.90/0.73 ( ( ( X ) = ( false ) ) & ( ( Y ) = ( true ) ) ) ))).
% 1.90/0.73 thf(zip_derived_cl11, plain,
% 1.90/0.73 (![X0 : $i, X1 : $i]:
% 1.90/0.73 ( (zip_tseitin_0 @ X0 @ X1) | ((X0) != (true)) | ((X1) != (false)))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.90/0.73 thf(zf_stmt_6, type, zip_tseitin_2 : $i > $i > $o).
% 1.90/0.73 thf(zf_stmt_7, axiom,
% 1.90/0.73 (![Y:$i,X:$i]:
% 1.90/0.73 ( ( zip_tseitin_2 @ Y @ X ) <=> ( ( ~( d @ X ) ) & ( d @ Y ) ) ))).
% 1.90/0.73 thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > $o).
% 1.90/0.73 thf(zf_stmt_9, axiom,
% 1.90/0.73 (![Y:$i,X:$i]:
% 1.90/0.73 ( ( zip_tseitin_1 @ Y @ X ) <=>
% 1.90/0.73 ( ( d @ X ) & ( d @ Y ) & ( ~( bool @ X ) ) & ( bool @ Y ) ) ))).
% 1.90/0.73 thf(zf_stmt_10, type, zip_tseitin_0 : $i > $i > $o).
% 1.90/0.73 thf(zf_stmt_11, axiom,
% 1.90/0.73 (![X:$i,Y:$i]:
% 1.90/0.73 ( ( forallprefers @ X @ Y ) <=>
% 1.90/0.73 ( ( zip_tseitin_2 @ Y @ X ) | ( zip_tseitin_1 @ Y @ X ) |
% 1.90/0.73 ( zip_tseitin_0 @ Y @ X ) ) ))).
% 1.90/0.73 thf(zip_derived_cl23, plain,
% 1.90/0.73 (![X0 : $i, X1 : $i]:
% 1.90/0.73 ( (forallprefers @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.90/0.73 thf(zip_derived_cl368, plain,
% 1.90/0.73 (![X0 : $i, X1 : $i]:
% 1.90/0.73 (((X0) != (false)) | ((X1) != (true)) | (forallprefers @ X0 @ X1))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl11, zip_derived_cl23])).
% 1.90/0.73 thf(zip_derived_cl86, plain,
% 1.90/0.73 (![X0 : $i]: ~ (forallprefers @ (f7 @ X0) @ (f7 @ sk__6))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_false2])).
% 1.90/0.73 thf(zip_derived_cl399, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ sk__6) != (true)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl368, zip_derived_cl86])).
% 1.90/0.73 thf(zip_derived_cl958, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((false2) != (true)) | ((false2) = (err)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl868, zip_derived_cl399])).
% 1.90/0.73 thf(zip_derived_cl967, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((false2) != (true)) | ((true) = (err)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('local_rewriting', [status(thm)], [zip_derived_cl958])).
% 1.90/0.73 thf(distinct_false_true_err, axiom,
% 1.90/0.73 (( ( false ) != ( err ) ) & ( ( true ) != ( err ) ) &
% 1.90/0.73 ( ( true ) != ( false ) ))).
% 1.90/0.73 thf(zip_derived_cl4, plain, (((true) != (err))),
% 1.90/0.73 inference('cnf', [status(esa)], [distinct_false_true_err])).
% 1.90/0.73 thf(zip_derived_cl973, plain,
% 1.90/0.73 (![X0 : $i]: (((false2) != (true)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('simplify_reflect-', [status(thm)],
% 1.90/0.73 [zip_derived_cl967, zip_derived_cl4])).
% 1.90/0.73 thf(zip_derived_cl974, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((phi @ X0) != (false)) | ~ (bool @ X0) | ((false2) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl973])).
% 1.90/0.73 thf(zip_derived_cl1073, plain,
% 1.90/0.73 ((((false2) != (false))
% 1.90/0.73 | (bool @ sk__6)
% 1.90/0.73 | ((false2) != (true))
% 1.90/0.73 | ~ (bool @ true))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl596, zip_derived_cl974])).
% 1.90/0.73 thf(not1_axiom3, axiom, (( not1 @ true ) = ( false ))).
% 1.90/0.73 thf(zip_derived_cl89, plain, (((not1 @ true) = (false))),
% 1.90/0.73 inference('cnf', [status(esa)], [not1_axiom3])).
% 1.90/0.73 thf(not1_axiom1, axiom,
% 1.90/0.73 (![A:$i]: ( ( ~( bool @ A ) ) => ( ( not1 @ A ) = ( phi @ A ) ) ))).
% 1.90/0.73 thf(zip_derived_cl87, plain,
% 1.90/0.73 (![X0 : $i]: (((not1 @ X0) = (phi @ X0)) | (bool @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [not1_axiom1])).
% 1.90/0.73 thf(zip_derived_cl466, plain, ((((false) = (phi @ true)) | (bool @ true))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl87])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl492, plain,
% 1.90/0.73 ((((false) = (true)) | (bool @ true) | ~ (d @ true))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl360])).
% 1.90/0.73 thf(false_true_err_in_d, axiom, (( d @ err ) & ( d @ false ) & ( d @ true ))).
% 1.90/0.73 thf(zip_derived_cl8, plain, ( (d @ true)),
% 1.90/0.73 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.73 thf(zip_derived_cl494, plain, ((((false) = (true)) | (bool @ true))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl492, zip_derived_cl8])).
% 1.90/0.73 thf(zip_derived_cl5, plain, (((true) != (false))),
% 1.90/0.73 inference('cnf', [status(esa)], [distinct_false_true_err])).
% 1.90/0.73 thf(zip_derived_cl495, plain, ( (bool @ true)),
% 1.90/0.73 inference('simplify_reflect-', [status(thm)],
% 1.90/0.73 [zip_derived_cl494, zip_derived_cl5])).
% 1.90/0.73 thf(zip_derived_cl1083, plain,
% 1.90/0.73 ((((false2) != (false)) | (bool @ sk__6) | ((false2) != (true)))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl1073, zip_derived_cl495])).
% 1.90/0.73 thf(zip_derived_cl7, plain, ( (d @ false)),
% 1.90/0.73 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl974, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((phi @ X0) != (false)) | ~ (bool @ X0) | ((false2) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl973])).
% 1.90/0.73 thf(zip_derived_cl1069, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((X0) != (false)) | ~ (d @ X0) | ((false2) != (true)) | ~ (bool @ X0))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl974])).
% 1.90/0.73 thf(def_bool, axiom,
% 1.90/0.73 (![X:$i]:
% 1.90/0.73 ( ( bool @ X ) <=> ( ( ( X ) = ( false ) ) | ( ( X ) = ( true ) ) ) ))).
% 1.90/0.73 thf(zip_derived_cl1, plain, (![X0 : $i]: ( (bool @ X0) | ((X0) != (false)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_bool])).
% 1.90/0.73 thf(zip_derived_cl1095, plain,
% 1.90/0.73 (![X0 : $i]: (((false2) != (true)) | ~ (d @ X0) | ((X0) != (false)))),
% 1.90/0.73 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl1])).
% 1.90/0.73 thf(zip_derived_cl1101, plain,
% 1.90/0.73 ((((false) != (false)) | ((false2) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1095])).
% 1.90/0.73 thf(zip_derived_cl1106, plain, (((false2) != (true))),
% 1.90/0.73 inference('simplify', [status(thm)], [zip_derived_cl1101])).
% 1.90/0.73 thf(zip_derived_cl1179, plain, ((((false2) != (true)) | (bool @ sk__6))),
% 1.90/0.73 inference('clc', [status(thm)], [zip_derived_cl1083, zip_derived_cl1106])).
% 1.90/0.73 thf(zip_derived_cl596, plain,
% 1.90/0.73 ((((false2) = (phi @ true)) | (bool @ sk__6))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl85])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl636, plain,
% 1.90/0.73 ((((false2) = (true)) | (bool @ sk__6) | ~ (d @ true))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl360])).
% 1.90/0.73 thf(zip_derived_cl8, plain, ( (d @ true)),
% 1.90/0.73 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.73 thf(zip_derived_cl640, plain, ((((false2) = (true)) | (bool @ sk__6))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl636, zip_derived_cl8])).
% 1.90/0.73 thf(zip_derived_cl1180, plain, ( (bool @ sk__6)),
% 1.90/0.73 inference('clc', [status(thm)], [zip_derived_cl1179, zip_derived_cl640])).
% 1.90/0.73 thf(zip_derived_cl0, plain,
% 1.90/0.73 (![X0 : $i]: (((X0) = (true)) | ((X0) = (false)) | ~ (bool @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_bool])).
% 1.90/0.73 thf(zip_derived_cl1182, plain, ((((sk__6) = (false)) | ((sk__6) = (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl1180, zip_derived_cl0])).
% 1.90/0.73 thf(zip_derived_cl7, plain, ( (d @ false)),
% 1.90/0.73 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl360, plain,
% 1.90/0.73 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.73 thf(zip_derived_cl479, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (phi @ X0)) | ~ (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl54])).
% 1.90/0.73 thf(zip_derived_cl479, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (phi @ X0)) | ~ (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl54])).
% 1.90/0.73 thf(zip_derived_cl399, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ sk__6) != (true)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl368, zip_derived_cl86])).
% 1.90/0.73 thf(zip_derived_cl754, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((phi @ sk__6) != (true)) | ~ (bool @ sk__6) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl399])).
% 1.90/0.73 thf(zip_derived_cl480, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) = (true)) | (bool @ X0))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl478, zip_derived_cl53])).
% 1.90/0.73 thf(zip_derived_cl399, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ sk__6) != (true)) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('dp-resolution', [status(thm)],
% 1.90/0.73 [zip_derived_cl368, zip_derived_cl86])).
% 1.90/0.73 thf(zip_derived_cl597, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((true) != (true)) | (bool @ sk__6) | ((f7 @ X0) != (false)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl480, zip_derived_cl399])).
% 1.90/0.73 thf(zip_derived_cl601, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) != (false)) | (bool @ sk__6))),
% 1.90/0.73 inference('simplify', [status(thm)], [zip_derived_cl597])).
% 1.90/0.73 thf(zip_derived_cl844, plain,
% 1.90/0.73 (![X0 : $i]: (((f7 @ X0) != (false)) | ((phi @ sk__6) != (true)))),
% 1.90/0.73 inference('clc', [status(thm)], [zip_derived_cl754, zip_derived_cl601])).
% 1.90/0.73 thf(zip_derived_cl845, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((phi @ X0) != (false)) | ~ (bool @ X0) | ((phi @ sk__6) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl844])).
% 1.90/0.73 thf(zip_derived_cl1141, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((sk__6) != (true))
% 1.90/0.73 | ~ (d @ sk__6)
% 1.90/0.73 | ~ (bool @ X0)
% 1.90/0.73 | ((phi @ X0) != (false)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl845])).
% 1.90/0.73 thf(zip_derived_cl1147, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((sk__6) != (true))
% 1.90/0.73 | ~ (d @ true)
% 1.90/0.73 | ~ (bool @ X0)
% 1.90/0.73 | ((phi @ X0) != (false)))),
% 1.90/0.73 inference('local_rewriting', [status(thm)], [zip_derived_cl1141])).
% 1.90/0.73 thf(zip_derived_cl8, plain, ( (d @ true)),
% 1.90/0.73 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.73 thf(zip_derived_cl1231, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((sk__6) != (true)) | ~ (bool @ X0) | ((phi @ X0) != (false)))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl1147, zip_derived_cl8])).
% 1.90/0.73 thf(zip_derived_cl1234, plain,
% 1.90/0.73 (![X0 : $i]:
% 1.90/0.73 (((X0) != (false)) | ~ (d @ X0) | ~ (bool @ X0) | ((sk__6) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl1231])).
% 1.90/0.73 thf(zip_derived_cl1, plain, (![X0 : $i]: ( (bool @ X0) | ((X0) != (false)))),
% 1.90/0.73 inference('cnf', [status(esa)], [def_bool])).
% 1.90/0.73 thf(zip_derived_cl1253, plain,
% 1.90/0.73 (![X0 : $i]: (((sk__6) != (true)) | ~ (d @ X0) | ((X0) != (false)))),
% 1.90/0.73 inference('clc', [status(thm)], [zip_derived_cl1234, zip_derived_cl1])).
% 1.90/0.73 thf(zip_derived_cl1260, plain,
% 1.90/0.73 ((((false) != (false)) | ((sk__6) != (true)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1253])).
% 1.90/0.73 thf(zip_derived_cl1266, plain, (((sk__6) != (true))),
% 1.90/0.73 inference('simplify', [status(thm)], [zip_derived_cl1260])).
% 1.90/0.73 thf(zip_derived_cl1272, plain, ((((true) != (true)) | ((sk__6) = (false)))),
% 1.90/0.73 inference('sup-', [status(thm)], [zip_derived_cl1182, zip_derived_cl1266])).
% 1.90/0.73 thf(zip_derived_cl1273, plain, (((sk__6) = (false))),
% 1.90/0.73 inference('simplify', [status(thm)], [zip_derived_cl1272])).
% 1.90/0.73 thf(zip_derived_cl1274, plain, (((false2) = (phi @ (f7 @ false)))),
% 1.90/0.73 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl1273])).
% 1.90/0.73 thf(zip_derived_cl1304, plain,
% 1.90/0.73 ((((false2) = (phi @ (phi @ false))) | ~ (bool @ false))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl479, zip_derived_cl1274])).
% 1.90/0.73 thf(not1_axiom2, axiom, (( not1 @ false ) = ( true ))).
% 1.90/0.73 thf(zip_derived_cl88, plain, (((not1 @ false) = (true))),
% 1.90/0.73 inference('cnf', [status(esa)], [not1_axiom2])).
% 1.90/0.73 thf(zip_derived_cl87, plain,
% 1.90/0.73 (![X0 : $i]: (((not1 @ X0) = (phi @ X0)) | (bool @ X0))),
% 1.90/0.73 inference('cnf', [status(esa)], [not1_axiom1])).
% 1.90/0.73 thf(zip_derived_cl465, plain, ((((true) = (phi @ false)) | (bool @ false))),
% 1.90/0.73 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl87])).
% 1.90/0.74 thf(zip_derived_cl360, plain,
% 1.90/0.74 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.74 inference('dp-resolution', [status(thm)],
% 1.90/0.74 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.74 thf(zip_derived_cl481, plain,
% 1.90/0.74 ((((true) = (false)) | (bool @ false) | ~ (d @ false))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl360])).
% 1.90/0.74 thf(zip_derived_cl7, plain, ( (d @ false)),
% 1.90/0.74 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.74 thf(zip_derived_cl483, plain, ((((true) = (false)) | (bool @ false))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl7])).
% 1.90/0.74 thf(zip_derived_cl5, plain, (((true) != (false))),
% 1.90/0.74 inference('cnf', [status(esa)], [distinct_false_true_err])).
% 1.90/0.74 thf(zip_derived_cl484, plain, ( (bool @ false)),
% 1.90/0.74 inference('simplify_reflect-', [status(thm)],
% 1.90/0.74 [zip_derived_cl483, zip_derived_cl5])).
% 1.90/0.74 thf(zip_derived_cl1306, plain, (((false2) = (phi @ (phi @ false)))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl1304, zip_derived_cl484])).
% 1.90/0.74 thf(zip_derived_cl1341, plain,
% 1.90/0.74 ((((false2) = (phi @ false)) | ~ (d @ false))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl1306])).
% 1.90/0.74 thf(zip_derived_cl7, plain, ( (d @ false)),
% 1.90/0.74 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.74 thf(zip_derived_cl1345, plain, (((false2) = (phi @ false))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl1341, zip_derived_cl7])).
% 1.90/0.74 thf(zip_derived_cl360, plain,
% 1.90/0.74 (![X0 : $i]: (((phi @ X0) = (X0)) | ~ (d @ X0))),
% 1.90/0.74 inference('dp-resolution', [status(thm)],
% 1.90/0.74 [zip_derived_cl357, zip_derived_cl42])).
% 1.90/0.74 thf(zip_derived_cl1354, plain, ((((false2) = (false)) | ~ (d @ false))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl1345, zip_derived_cl360])).
% 1.90/0.74 thf(zip_derived_cl7, plain, ( (d @ false)),
% 1.90/0.74 inference('cnf', [status(esa)], [false_true_err_in_d])).
% 1.90/0.74 thf(zip_derived_cl1358, plain, (((false2) = (false))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl1354, zip_derived_cl7])).
% 1.90/0.74 thf(def_not2, axiom, (![P:$i]: ( ( not2 @ P ) = ( impl @ P @ false2 ) ))).
% 1.90/0.74 thf(zip_derived_cl90, plain,
% 1.90/0.74 (![X0 : $i]: ((not2 @ X0) = (impl @ X0 @ false2))),
% 1.90/0.74 inference('cnf', [status(esa)], [def_not2])).
% 1.90/0.74 thf(impl_axiom1, axiom,
% 1.90/0.74 (![A:$i,B:$i]: ( ( ~( bool @ A ) ) => ( ( impl @ A @ B ) = ( phi @ A ) ) ))).
% 1.90/0.74 thf(zip_derived_cl48, plain,
% 1.90/0.74 (![X0 : $i, X1 : $i]: ( (bool @ X0) | ((impl @ X0 @ X1) = (phi @ X0)))),
% 1.90/0.74 inference('cnf', [status(esa)], [impl_axiom1])).
% 1.90/0.74 thf(zip_derived_cl490, plain,
% 1.90/0.74 (![X0 : $i]: (((not2 @ X0) = (phi @ X0)) | (bool @ X0))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl48])).
% 1.90/0.74 thf(not1_not2, conjecture, (![P:$i]: ( ( not1 @ P ) = ( not2 @ P ) ))).
% 1.90/0.74 thf(zf_stmt_12, negated_conjecture,
% 1.90/0.74 (~( ![P:$i]: ( ( not1 @ P ) = ( not2 @ P ) ) )),
% 1.90/0.74 inference('cnf.neg', [status(esa)], [not1_not2])).
% 1.90/0.74 thf(zip_derived_cl91, plain, (((not1 @ sk__7) != (not2 @ sk__7))),
% 1.90/0.74 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.90/0.74 thf(zip_derived_cl531, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (phi @ sk__7)) | (bool @ sk__7))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl91])).
% 1.90/0.74 thf(zip_derived_cl87, plain,
% 1.90/0.74 (![X0 : $i]: (((not1 @ X0) = (phi @ X0)) | (bool @ X0))),
% 1.90/0.74 inference('cnf', [status(esa)], [not1_axiom1])).
% 1.90/0.74 thf(zip_derived_cl535, plain, ( (bool @ sk__7)),
% 1.90/0.74 inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl87])).
% 1.90/0.74 thf(zip_derived_cl0, plain,
% 1.90/0.74 (![X0 : $i]: (((X0) = (true)) | ((X0) = (false)) | ~ (bool @ X0))),
% 1.90/0.74 inference('cnf', [status(esa)], [def_bool])).
% 1.90/0.74 thf(zip_derived_cl536, plain, ((((sk__7) = (false)) | ((sk__7) = (true)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl0])).
% 1.90/0.74 thf(zip_derived_cl90, plain,
% 1.90/0.74 (![X0 : $i]: ((not2 @ X0) = (impl @ X0 @ false2))),
% 1.90/0.74 inference('cnf', [status(esa)], [def_not2])).
% 1.90/0.74 thf(impl_axiom4, axiom,
% 1.90/0.74 (![B:$i]: ( ( bool @ B ) => ( ( impl @ true @ B ) = ( B ) ) ))).
% 1.90/0.74 thf(zip_derived_cl51, plain,
% 1.90/0.74 (![X0 : $i]: (((impl @ true @ X0) = (X0)) | ~ (bool @ X0))),
% 1.90/0.74 inference('cnf', [status(esa)], [impl_axiom4])).
% 1.90/0.74 thf(zip_derived_cl476, plain,
% 1.90/0.74 ((((not2 @ true) = (false2)) | ~ (bool @ false2))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl51])).
% 1.90/0.74 thf(zip_derived_cl536, plain, ((((sk__7) = (false)) | ((sk__7) = (true)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl0])).
% 1.90/0.74 thf(zip_derived_cl91, plain, (((not1 @ sk__7) != (not2 @ sk__7))),
% 1.90/0.74 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.90/0.74 thf(zip_derived_cl538, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (not2 @ true)) | ((sk__7) = (false)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl536, zip_derived_cl91])).
% 1.90/0.74 thf(zip_derived_cl548, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (false2)) | ~ (bool @ false2) | ((sk__7) = (false)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl538])).
% 1.90/0.74 thf(zip_derived_cl552, plain,
% 1.90/0.74 ((((not1 @ true) != (false2))
% 1.90/0.74 | ((sk__7) = (false))
% 1.90/0.74 | ((sk__7) = (false))
% 1.90/0.74 | ~ (bool @ false2))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl536, zip_derived_cl548])).
% 1.90/0.74 thf(zip_derived_cl89, plain, (((not1 @ true) = (false))),
% 1.90/0.74 inference('cnf', [status(esa)], [not1_axiom3])).
% 1.90/0.74 thf(zip_derived_cl554, plain,
% 1.90/0.74 ((((false) != (false2))
% 1.90/0.74 | ((sk__7) = (false))
% 1.90/0.74 | ((sk__7) = (false))
% 1.90/0.74 | ~ (bool @ false2))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl89])).
% 1.90/0.74 thf(zip_derived_cl555, plain,
% 1.90/0.74 ((~ (bool @ false2) | ((sk__7) = (false)) | ((false) != (false2)))),
% 1.90/0.74 inference('simplify', [status(thm)], [zip_derived_cl554])).
% 1.90/0.74 thf(zip_derived_cl556, plain,
% 1.90/0.74 ((~ (bool @ false) | ((sk__7) = (false)) | ((false) != (false2)))),
% 1.90/0.74 inference('local_rewriting', [status(thm)], [zip_derived_cl555])).
% 1.90/0.74 thf(zip_derived_cl484, plain, ( (bool @ false)),
% 1.90/0.74 inference('simplify_reflect-', [status(thm)],
% 1.90/0.74 [zip_derived_cl483, zip_derived_cl5])).
% 1.90/0.74 thf(zip_derived_cl557, plain,
% 1.90/0.74 ((((sk__7) = (false)) | ((false) != (false2)))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl556, zip_derived_cl484])).
% 1.90/0.74 thf(zip_derived_cl90, plain,
% 1.90/0.74 (![X0 : $i]: ((not2 @ X0) = (impl @ X0 @ false2))),
% 1.90/0.74 inference('cnf', [status(esa)], [def_not2])).
% 1.90/0.74 thf(impl_axiom3, axiom,
% 1.90/0.74 (![B:$i]: ( ( bool @ B ) => ( ( impl @ false @ B ) = ( true ) ) ))).
% 1.90/0.74 thf(zip_derived_cl50, plain,
% 1.90/0.74 (![X0 : $i]: (((impl @ false @ X0) = (true)) | ~ (bool @ X0))),
% 1.90/0.74 inference('cnf', [status(esa)], [impl_axiom3])).
% 1.90/0.74 thf(zip_derived_cl527, plain,
% 1.90/0.74 ((((not2 @ false) = (true)) | ~ (bool @ false2))),
% 1.90/0.74 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl50])).
% 1.90/0.74 thf(zip_derived_cl557, plain,
% 1.90/0.74 ((((sk__7) = (false)) | ((false) != (false2)))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl556, zip_derived_cl484])).
% 1.90/0.74 thf(zip_derived_cl91, plain, (((not1 @ sk__7) != (not2 @ sk__7))),
% 1.90/0.74 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.90/0.74 thf(zip_derived_cl558, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (not2 @ false)) | ((false) != (false2)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl91])).
% 1.90/0.74 thf(zip_derived_cl566, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (true)) | ~ (bool @ false2) | ((false) != (false2)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl527, zip_derived_cl558])).
% 1.90/0.74 thf(zip_derived_cl568, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (true)) | ~ (bool @ false) | ((false) != (false2)))),
% 1.90/0.74 inference('local_rewriting', [status(thm)], [zip_derived_cl566])).
% 1.90/0.74 thf(zip_derived_cl484, plain, ( (bool @ false)),
% 1.90/0.74 inference('simplify_reflect-', [status(thm)],
% 1.90/0.74 [zip_derived_cl483, zip_derived_cl5])).
% 1.90/0.74 thf(zip_derived_cl569, plain,
% 1.90/0.74 ((((not1 @ sk__7) != (true)) | ((false) != (false2)))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl568, zip_derived_cl484])).
% 1.90/0.74 thf(zip_derived_cl572, plain,
% 1.90/0.74 ((((not1 @ false) != (true))
% 1.90/0.74 | ((false) != (false2))
% 1.90/0.74 | ((false) != (false2)))),
% 1.90/0.74 inference('sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl569])).
% 1.90/0.74 thf(zip_derived_cl88, plain, (((not1 @ false) = (true))),
% 1.90/0.74 inference('cnf', [status(esa)], [not1_axiom2])).
% 1.90/0.74 thf(zip_derived_cl575, plain,
% 1.90/0.74 ((((true) != (true)) | ((false) != (false2)) | ((false) != (false2)))),
% 1.90/0.74 inference('demod', [status(thm)], [zip_derived_cl572, zip_derived_cl88])).
% 1.90/0.74 thf(zip_derived_cl576, plain, (((false) != (false2))),
% 1.90/0.74 inference('simplify', [status(thm)], [zip_derived_cl575])).
% 1.90/0.74 thf(zip_derived_cl1359, plain, ($false),
% 1.90/0.74 inference('simplify_reflect-', [status(thm)],
% 1.90/0.74 [zip_derived_cl1358, zip_derived_cl576])).
% 1.90/0.74
% 1.90/0.74 % SZS output end Refutation
% 1.90/0.74
% 1.90/0.74
% 1.90/0.74 % Terminating...
% 1.90/0.78 % Runner terminated.
% 1.90/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------