%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU314+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6VKBq6cjg0 true
% Computer : n031.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 04:54:12 PM UTC 2025
% Result : Theorem 13.40s 2.42s
% Output : Refutation 13.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU314+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6VKBq6cjg0 true
% 0.08/0.29 % Computer : n031.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Oct 1 16:13:38 EDT 2025
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Running portfolio for 300 s
% 0.08/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.30 % Number of cores: 8
% 0.08/0.30 % Python version: Python 3.6.8
% 0.08/0.30 % Running in FO mode
% 0.14/0.54 % Total configuration time : 435
% 0.14/0.54 % Estimated wc time : 1092
% 0.14/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.72/0.59 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.63 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.40/2.42 % Solved by fo/fo7.sh.
% 13.40/2.42 % done 1493 iterations in 1.722s
% 13.40/2.42 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.40/2.42 % SZS output start Refutation
% 13.40/2.42 thf(element_type, type, element: $i > $i > $o).
% 13.40/2.42 thf(sk__15_type, type, sk__15: $i > $i > $i).
% 13.40/2.42 thf(sk__10_type, type, sk__10: $i > $i > $i > $i).
% 13.40/2.42 thf(powerset_type, type, powerset: $i > $i).
% 13.40/2.42 thf(sk__3_type, type, sk__3: $i > $i).
% 13.40/2.42 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 13.40/2.42 thf(closed_subset_type, type, closed_subset: $i > $i > $o).
% 13.40/2.42 thf(sk__2_type, type, sk__2: $i > $i).
% 13.40/2.42 thf(topological_space_type, type, topological_space: $i > $o).
% 13.40/2.42 thf(top_str_type, type, top_str: $i > $o).
% 13.40/2.42 thf(sk__type, type, sk_: $i).
% 13.40/2.42 thf(the_carrier_type, type, the_carrier: $i > $i).
% 13.40/2.42 thf(sk__1_type, type, sk__1: $i).
% 13.40/2.42 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $i > $o).
% 13.40/2.42 thf(sk__14_type, type, sk__14: $i > $i > $i).
% 13.40/2.42 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 13.40/2.42 thf(subset_type, type, subset: $i > $i > $o).
% 13.40/2.42 thf(sk__13_type, type, sk__13: $i > $i > $i).
% 13.40/2.42 thf(sk__12_type, type, sk__12: $i > $i > $i).
% 13.40/2.42 thf(in_type, type, in: $i > $i > $o).
% 13.40/2.42 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 13.40/2.42 thf(sk__11_type, type, sk__11: $i > $i > $i > $i).
% 13.40/2.42 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 13.40/2.42 thf(s1_xboole_0__e1_40__pre_topc__1, conjecture,
% 13.40/2.42 (![A:$i,B:$i]:
% 13.40/2.42 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 13.40/2.42 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) ) =>
% 13.40/2.42 ( ?[C:$i]:
% 13.40/2.42 ( ![D:$i]:
% 13.40/2.42 ( ( in @ D @ C ) <=>
% 13.40/2.42 ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ?[E:$i]:
% 13.40/2.42 ( ( subset @ B @ D ) & ( closed_subset @ E @ A ) &
% 13.40/2.42 ( ( E ) = ( D ) ) &
% 13.40/2.42 ( element @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_0, negated_conjecture,
% 13.40/2.42 (~( ![A:$i,B:$i]:
% 13.40/2.42 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 13.40/2.42 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) ) =>
% 13.40/2.42 ( ?[C:$i]:
% 13.40/2.42 ( ![D:$i]:
% 13.40/2.42 ( ( in @ D @ C ) <=>
% 13.40/2.42 ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ?[E:$i]:
% 13.40/2.42 ( ( subset @ B @ D ) & ( closed_subset @ E @ A ) &
% 13.40/2.42 ( ( E ) = ( D ) ) &
% 13.40/2.42 ( element @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ) ) ) ) ) )),
% 13.40/2.42 inference('cnf.neg', [status(esa)], [s1_xboole_0__e1_40__pre_topc__1])).
% 13.40/2.42 thf(zip_derived_cl4, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (subset @ sk__1 @ (sk__2 @ X0)) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl2, plain,
% 13.40/2.42 (![X0 : $i]: (((sk__3 @ X0) = (sk__2 @ X0)) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl6, plain,
% 13.40/2.42 ( (element @ sk__1 @ (powerset @ (the_carrier @ sk_)))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(s1_tarski__e1_40__pre_topc__1, axiom,
% 13.40/2.42 (![A:$i,B:$i]:
% 13.40/2.42 ( ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( top_str @ A ) & ( topological_space @ A ) ) =>
% 13.40/2.42 ( ( ![C:$i,D:$i,E:$i]:
% 13.40/2.42 ( ( ( ?[G:$i]:
% 13.40/2.42 ( ( element @ G @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ( G ) = ( E ) ) & ( closed_subset @ G @ A ) &
% 13.40/2.42 ( subset @ B @ E ) ) ) &
% 13.40/2.42 ( ( C ) = ( E ) ) &
% 13.40/2.42 ( ?[F:$i]:
% 13.40/2.42 ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ( F ) = ( D ) ) & ( closed_subset @ F @ A ) &
% 13.40/2.42 ( subset @ B @ D ) ) ) &
% 13.40/2.42 ( ( C ) = ( D ) ) ) =>
% 13.40/2.42 ( ( D ) = ( E ) ) ) ) =>
% 13.40/2.42 ( ?[C:$i]:
% 13.40/2.42 ( ![D:$i]:
% 13.40/2.42 ( ( in @ D @ C ) <=>
% 13.40/2.42 ( ?[E:$i]:
% 13.40/2.42 ( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ( E ) = ( D ) ) &
% 13.40/2.42 ( ?[H:$i]:
% 13.40/2.42 ( ( element @ H @ ( powerset @ ( the_carrier @ A ) ) ) &
% 13.40/2.42 ( ( H ) = ( D ) ) & ( closed_subset @ H @ A ) &
% 13.40/2.42 ( subset @ B @ D ) ) ) ) ) ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_1, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_2, axiom,
% 13.40/2.42 (![D:$i,C:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_6 @ D @ C @ B @ A ) =>
% 13.40/2.42 ( ( in @ D @ C ) <=> ( ?[E:$i]: ( zip_tseitin_5 @ E @ D @ B @ A ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_3, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_4, axiom,
% 13.40/2.42 (![E:$i,D:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_5 @ E @ D @ B @ A ) <=>
% 13.40/2.42 ( ( ?[H:$i]: ( zip_tseitin_4 @ H @ D @ B @ A ) ) & ( ( E ) = ( D ) ) &
% 13.40/2.42 ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_5, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_6, axiom,
% 13.40/2.42 (![H:$i,D:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_4 @ H @ D @ B @ A ) <=>
% 13.40/2.42 ( ( subset @ B @ D ) & ( closed_subset @ H @ A ) & ( ( H ) = ( D ) ) &
% 13.40/2.42 ( element @ H @ ( powerset @ ( the_carrier @ A ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_7, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_8, axiom,
% 13.40/2.42 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( ( zip_tseitin_2 @ E @ D @ C @ B @ A ) => ( ( D ) = ( E ) ) ) =>
% 13.40/2.42 ( zip_tseitin_3 @ E @ D @ C @ B @ A ) ))).
% 13.40/2.42 thf(zf_stmt_9, type, zip_tseitin_2 : $i > $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_10, axiom,
% 13.40/2.42 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_2 @ E @ D @ C @ B @ A ) =>
% 13.40/2.42 ( ( ( C ) = ( D ) ) & ( ?[F:$i]: ( zip_tseitin_1 @ F @ D @ B @ A ) ) &
% 13.40/2.42 ( ( C ) = ( E ) ) & ( ?[G:$i]: ( zip_tseitin_0 @ G @ E @ B @ A ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_12, axiom,
% 13.40/2.42 (![F:$i,D:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_1 @ F @ D @ B @ A ) =>
% 13.40/2.42 ( ( subset @ B @ D ) & ( closed_subset @ F @ A ) & ( ( F ) = ( D ) ) &
% 13.40/2.42 ( element @ F @ ( powerset @ ( the_carrier @ A ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 13.40/2.42 thf(zf_stmt_14, axiom,
% 13.40/2.42 (![G:$i,E:$i,B:$i,A:$i]:
% 13.40/2.42 ( ( zip_tseitin_0 @ G @ E @ B @ A ) =>
% 13.40/2.42 ( ( subset @ B @ E ) & ( closed_subset @ G @ A ) & ( ( G ) = ( E ) ) &
% 13.40/2.42 ( element @ G @ ( powerset @ ( the_carrier @ A ) ) ) ) ))).
% 13.40/2.42 thf(zf_stmt_15, axiom,
% 13.40/2.42 (![A:$i,B:$i]:
% 13.40/2.42 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 13.40/2.42 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) ) =>
% 13.40/2.42 ( ( ![C:$i,D:$i,E:$i]: ( zip_tseitin_3 @ E @ D @ C @ B @ A ) ) =>
% 13.40/2.42 ( ?[C:$i]: ( ![D:$i]: ( zip_tseitin_6 @ D @ C @ B @ A ) ) ) ) ))).
% 13.40/2.42 thf(zip_derived_cl93, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.42 (~ (top_str @ X0)
% 13.40/2.42 | ~ (topological_space @ X0)
% 13.40/2.42 | ~ (element @ X1 @ (powerset @ (the_carrier @ X0)))
% 13.40/2.42 | (zip_tseitin_6 @ X2 @ (sk__15 @ X1 @ X0) @ X1 @ X0)
% 13.40/2.42 | ~ (zip_tseitin_3 @ (sk__14 @ X1 @ X0) @ (sk__13 @ X1 @ X0) @
% 13.40/2.42 (sk__12 @ X1 @ X0) @ X1 @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_15])).
% 13.40/2.42 thf(zip_derived_cl396, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (~ (zip_tseitin_3 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ~ (topological_space @ sk_)
% 13.40/2.42 | ~ (top_str @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl93])).
% 13.40/2.42 thf(zip_derived_cl7, plain, ( (topological_space @ sk_)),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl8, plain, ( (top_str @ sk_)),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl401, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (~ (zip_tseitin_3 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('demod', [status(thm)],
% 13.40/2.42 [zip_derived_cl396, zip_derived_cl7, zip_derived_cl8])).
% 13.40/2.42 thf(zip_derived_cl4, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (subset @ sk__1 @ (sk__2 @ X0)) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl2, plain,
% 13.40/2.42 (![X0 : $i]: (((sk__3 @ X0) = (sk__2 @ X0)) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl81, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.42 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4)
% 13.40/2.42 | (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.40/2.42 thf(zip_derived_cl401, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (~ (zip_tseitin_3 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('demod', [status(thm)],
% 13.40/2.42 [zip_derived_cl396, zip_derived_cl7, zip_derived_cl8])).
% 13.40/2.42 thf(zip_derived_cl404, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl401])).
% 13.40/2.42 thf(zip_derived_cl92, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 (~ (in @ X0 @ X1)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__11 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 13.40/2.42 | ~ (zip_tseitin_6 @ X0 @ X1 @ X3 @ X2))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.40/2.42 thf(zip_derived_cl408, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.42 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl92])).
% 13.40/2.42 thf(zip_derived_cl410, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl408])).
% 13.40/2.42 thf(zip_derived_cl87, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (zip_tseitin_4 @ (sk__10 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.40/2.42 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.42 thf(zip_derived_cl412, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl87])).
% 13.40/2.42 thf(zip_derived_cl84, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl504, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl84])).
% 13.40/2.42 thf(zip_derived_cl412, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl87])).
% 13.40/2.42 thf(zip_derived_cl83, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (closed_subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl502, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (closed_subset @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl83])).
% 13.40/2.42 thf(zip_derived_cl540, plain,
% 13.40/2.42 (( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl502])).
% 13.40/2.42 thf(zip_derived_cl543, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl540])).
% 13.40/2.42 thf(zip_derived_cl2, plain,
% 13.40/2.42 (![X0 : $i]: (((sk__3 @ X0) = (sk__2 @ X0)) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl5, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i]:
% 13.40/2.42 (~ (element @ X1 @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ((X1) != (sk__2 @ X0))
% 13.40/2.42 | ~ (closed_subset @ X1 @ sk_)
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.42 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl95, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (~ (in @ (sk__2 @ X0) @ X0)
% 13.40/2.42 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.42 | ~ (closed_subset @ (sk__2 @ X0) @ sk_)
% 13.40/2.42 | ~ (element @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.40/2.42 thf(zip_derived_cl119, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (((sk__3 @ X0) = (sk__2 @ X0))
% 13.40/2.42 | ~ (element @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (closed_subset @ (sk__2 @ X0) @ sk_)
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.42 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl95])).
% 13.40/2.42 thf(zip_derived_cl545, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl543, zip_derived_cl119])).
% 13.40/2.42 thf(zip_derived_cl547, plain,
% 13.40/2.42 ((~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl545])).
% 13.40/2.42 thf(zip_derived_cl504, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl84])).
% 13.40/2.42 thf(zip_derived_cl412, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl87])).
% 13.40/2.42 thf(zip_derived_cl85, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.42 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl503, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (element @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl85])).
% 13.40/2.42 thf(zip_derived_cl541, plain,
% 13.40/2.42 (( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl503])).
% 13.40/2.42 thf(zip_derived_cl544, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl541])).
% 13.40/2.42 thf(zip_derived_cl598, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('clc', [status(thm)], [zip_derived_cl547, zip_derived_cl544])).
% 13.40/2.42 thf(zip_derived_cl410, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl408])).
% 13.40/2.42 thf(zip_derived_cl88, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.42 thf(zip_derived_cl413, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ((sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl88])).
% 13.40/2.42 thf(zip_derived_cl410, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl408])).
% 13.40/2.42 thf(zip_derived_cl89, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.42 | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.42 thf(zip_derived_cl414, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (in @ (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl89])).
% 13.40/2.42 thf(zip_derived_cl420, plain,
% 13.40/2.42 (( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl414])).
% 13.40/2.42 thf(zip_derived_cl421, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl420])).
% 13.40/2.42 thf(zip_derived_cl599, plain,
% 13.40/2.42 ((~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('clc', [status(thm)], [zip_derived_cl598, zip_derived_cl421])).
% 13.40/2.42 thf(zip_derived_cl412, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @
% 13.40/2.42 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl87])).
% 13.40/2.42 thf(zip_derived_cl82, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl501, plain,
% 13.40/2.42 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl82])).
% 13.40/2.42 thf(zip_derived_cl600, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl501])).
% 13.40/2.42 thf(reflexivity_r1_tarski, axiom, (![A:$i,B:$i]: ( subset @ A @ A ))).
% 13.40/2.42 thf(zip_derived_cl59, plain, (![X0 : $i]: (subset @ X0 @ X0)),
% 13.40/2.42 inference('cnf', [status(esa)], [reflexivity_r1_tarski])).
% 13.40/2.42 thf(zip_derived_cl3, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (closed_subset @ (sk__3 @ X0) @ sk_) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl1, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (element @ (sk__3 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.42 thf(zip_derived_cl408, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.42 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl92])).
% 13.40/2.42 thf(zip_derived_cl409, plain,
% 13.40/2.42 (( (element @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl408])).
% 13.40/2.42 thf(zip_derived_cl86, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 13.40/2.42 | ~ (element @ X0 @ (powerset @ (the_carrier @ X3)))
% 13.40/2.42 | ((X0) != (X1))
% 13.40/2.42 | ~ (closed_subset @ X0 @ X3)
% 13.40/2.42 | ~ (subset @ X2 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl328, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.42 (~ (subset @ X1 @ X0)
% 13.40/2.42 | ~ (closed_subset @ X0 @ X2)
% 13.40/2.42 | ~ (element @ X0 @ (powerset @ (the_carrier @ X2)))
% 13.40/2.42 | (zip_tseitin_4 @ X0 @ X0 @ X1 @ X2))),
% 13.40/2.42 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 13.40/2.42 thf(zip_derived_cl458, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.42 | ~ (closed_subset @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | ~ (subset @ X0 @ (sk__3 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl409, zip_derived_cl328])).
% 13.40/2.42 thf(zip_derived_cl900, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_))
% 13.40/2.42 | ~ (subset @ X0 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__13 @ sk__1 @ sk_) @ (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl458])).
% 13.40/2.42 thf(zip_derived_cl408, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.42 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl92])).
% 13.40/2.42 thf(zip_derived_cl1112, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.42 | ~ (subset @ X0 @ (sk__3 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('clc', [status(thm)], [zip_derived_cl900, zip_derived_cl408])).
% 13.40/2.42 thf(zip_derived_cl1113, plain,
% 13.40/2.42 (( (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1112])).
% 13.40/2.42 thf(zip_derived_cl88, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.42 thf(zip_derived_cl1117, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | ((sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl1113, zip_derived_cl88])).
% 13.40/2.42 thf(zip_derived_cl1113, plain,
% 13.40/2.42 (( (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @
% 13.40/2.42 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1112])).
% 13.40/2.42 thf(zip_derived_cl1120, plain,
% 13.40/2.42 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl1117, zip_derived_cl1113])).
% 13.40/2.42 thf(zip_derived_cl1121, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl1120])).
% 13.40/2.42 thf(zip_derived_cl85, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.42 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl1130, plain,
% 13.40/2.42 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (element @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl1121, zip_derived_cl85])).
% 13.40/2.42 thf(zip_derived_cl1176, plain,
% 13.40/2.42 (( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_)))
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1130])).
% 13.40/2.42 thf(zip_derived_cl1177, plain,
% 13.40/2.42 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 13.40/2.42 thf(zip_derived_cl328, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.42 (~ (subset @ X1 @ X0)
% 13.40/2.42 | ~ (closed_subset @ X0 @ X2)
% 13.40/2.42 | ~ (element @ X0 @ (powerset @ (the_carrier @ X2)))
% 13.40/2.42 | (zip_tseitin_4 @ X0 @ X0 @ X1 @ X2))),
% 13.40/2.42 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 13.40/2.42 thf(zip_derived_cl1210, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.42 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | ~ (subset @ X0 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl1177, zip_derived_cl328])).
% 13.40/2.42 thf(zip_derived_cl600, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.42 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl501])).
% 13.40/2.42 thf(zip_derived_cl1121, plain,
% 13.40/2.42 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_4 @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl1120])).
% 13.40/2.42 thf(zip_derived_cl83, plain,
% 13.40/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.42 ( (closed_subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.42 thf(zip_derived_cl1129, plain,
% 13.40/2.42 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (closed_subset @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.42 inference('sup-', [status(thm)], [zip_derived_cl1121, zip_derived_cl83])).
% 13.40/2.42 thf(zip_derived_cl1138, plain,
% 13.40/2.42 (( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.42 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1129])).
% 13.40/2.42 thf(zip_derived_cl1139, plain,
% 13.40/2.42 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.42 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.42 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.42 | (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.42 inference('simplify', [status(thm)], [zip_derived_cl1138])).
% 13.40/2.42 thf(zip_derived_cl1307, plain,
% 13.40/2.42 (![X0 : $i]:
% 13.40/2.42 (~ (subset @ X0 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.42 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.42 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.42 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__13 @ sk__1 @ sk_) @ (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1210, zip_derived_cl1139])).
% 13.40/2.43 thf(zip_derived_cl1309, plain,
% 13.40/2.43 (( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_))
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1307])).
% 13.40/2.43 thf(zip_derived_cl0, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.43 thf(zip_derived_cl90, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 13.40/2.43 | ~ (in @ X0 @ (powerset @ (the_carrier @ X3)))
% 13.40/2.43 | ((X0) != (X1))
% 13.40/2.43 | ~ (zip_tseitin_4 @ X4 @ X1 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl321, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (~ (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0)
% 13.40/2.43 | ~ (in @ X2 @ (powerset @ (the_carrier @ X0)))
% 13.40/2.43 | (zip_tseitin_5 @ X2 @ X2 @ X1 @ X0))),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl90])).
% 13.40/2.43 thf(zip_derived_cl325, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.43 ( (in @ (sk__2 @ X0) @ X0)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ X1 @ sk_)
% 13.40/2.43 | ~ (zip_tseitin_4 @ X2 @ (sk__2 @ X0) @ X1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl321])).
% 13.40/2.43 thf(zip_derived_cl1421, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1309, zip_derived_cl325])).
% 13.40/2.43 thf(zip_derived_cl408, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl1423, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1421, zip_derived_cl408])).
% 13.40/2.43 thf(zip_derived_cl1425, plain,
% 13.40/2.43 (( (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1423])).
% 13.40/2.43 thf(zip_derived_cl88, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1443, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1425, zip_derived_cl88])).
% 13.40/2.43 thf(zip_derived_cl1425, plain,
% 13.40/2.43 (( (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1423])).
% 13.40/2.43 thf(zip_derived_cl1451, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1443, zip_derived_cl1425])).
% 13.40/2.43 thf(zip_derived_cl1455, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1451])).
% 13.40/2.43 thf(zip_derived_cl91, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 13.40/2.43 | (in @ X1 @ X4)
% 13.40/2.43 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.40/2.43 thf(zip_derived_cl1459, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 13.40/2.43 sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl91])).
% 13.40/2.43 thf(zip_derived_cl95, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (~ (in @ (sk__2 @ X0) @ X0)
% 13.40/2.43 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ X0) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.40/2.43 thf(zip_derived_cl1621, plain,
% 13.40/2.43 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1459, zip_derived_cl95])).
% 13.40/2.43 thf(zip_derived_cl404, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl401])).
% 13.40/2.43 thf(zip_derived_cl1643, plain,
% 13.40/2.43 ((~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1621, zip_derived_cl404])).
% 13.40/2.43 thf(zip_derived_cl1455, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1451])).
% 13.40/2.43 thf(zip_derived_cl89, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1458, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl89])).
% 13.40/2.43 thf(zip_derived_cl1644, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1643, zip_derived_cl1458])).
% 13.40/2.43 thf(zip_derived_cl1455, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1451])).
% 13.40/2.43 thf(zip_derived_cl87, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__10 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.40/2.43 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1456, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl84, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1465, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl84])).
% 13.40/2.43 thf(zip_derived_cl1456, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl85, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1464, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (element @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl85])).
% 13.40/2.43 thf(zip_derived_cl1517, plain,
% 13.40/2.43 (( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1465, zip_derived_cl1464])).
% 13.40/2.43 thf(zip_derived_cl1518, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1517])).
% 13.40/2.43 thf(zip_derived_cl1645, plain,
% 13.40/2.43 ((~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1644, zip_derived_cl1518])).
% 13.40/2.43 thf(zip_derived_cl1456, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl82, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1462, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl82])).
% 13.40/2.43 thf(zip_derived_cl1646, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1645, zip_derived_cl1462])).
% 13.40/2.43 thf(zip_derived_cl1465, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl84])).
% 13.40/2.43 thf(zip_derived_cl1456, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl83, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (closed_subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1463, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (closed_subset @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1456, zip_derived_cl83])).
% 13.40/2.43 thf(zip_derived_cl1474, plain,
% 13.40/2.43 (( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1465, zip_derived_cl1463])).
% 13.40/2.43 thf(zip_derived_cl1476, plain,
% 13.40/2.43 (( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1474])).
% 13.40/2.43 thf(zip_derived_cl1647, plain,
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1646, zip_derived_cl1476])).
% 13.40/2.43 thf(zip_derived_cl76, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X2 @ X0 @ X1 @ X3 @ X4))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_10])).
% 13.40/2.43 thf(zip_derived_cl1648, plain,
% 13.40/2.43 (((sk__12 @ sk__1 @ sk_) = (sk__13 @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1647, zip_derived_cl76])).
% 13.40/2.43 thf(zip_derived_cl1652, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (~ (zip_tseitin_3 @ (sk__14 @ sk__1 @ sk_) @ (sk__12 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.40/2.43 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl1648])).
% 13.40/2.43 thf(zip_derived_cl1647, plain,
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__13 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1646, zip_derived_cl1476])).
% 13.40/2.43 thf(zip_derived_cl1648, plain,
% 13.40/2.43 (((sk__12 @ sk__1 @ sk_) = (sk__13 @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1647, zip_derived_cl76])).
% 13.40/2.43 thf(zip_derived_cl1653, plain,
% 13.40/2.43 ( (zip_tseitin_2 @ (sk__14 @ sk__1 @ sk_) @ (sk__12 @ sk__1 @ sk_) @
% 13.40/2.43 (sk__12 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1647, zip_derived_cl1648])).
% 13.40/2.43 thf(zip_derived_cl78, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_10])).
% 13.40/2.43 thf(zip_derived_cl1657, plain,
% 13.40/2.43 (((sk__12 @ sk__1 @ sk_) = (sk__14 @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1653, zip_derived_cl78])).
% 13.40/2.43 thf(zip_derived_cl80, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4) | ((X1) != (X0)))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.40/2.43 thf(zip_derived_cl207, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (zip_tseitin_3 @ X3 @ X3 @ X2 @ X1 @ X0)),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl80])).
% 13.40/2.43 thf(zip_derived_cl1659, plain,
% 13.40/2.43 (![X0 : $i]: (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1652, zip_derived_cl1657, zip_derived_cl207])).
% 13.40/2.43 thf(zip_derived_cl92, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (~ (in @ X0 @ X1)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__11 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 13.40/2.43 | ~ (zip_tseitin_6 @ X0 @ X1 @ X3 @ X2))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.40/2.43 thf(zip_derived_cl1661, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1659, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl1663, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl87, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__10 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.40/2.43 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1752, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl84, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1836, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl84])).
% 13.40/2.43 thf(zip_derived_cl1752, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl85, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1835, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (element @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl85])).
% 13.40/2.43 thf(zip_derived_cl1882, plain,
% 13.40/2.43 (( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1836, zip_derived_cl1835])).
% 13.40/2.43 thf(zip_derived_cl1883, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1882])).
% 13.40/2.43 thf(zip_derived_cl1836, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl84])).
% 13.40/2.43 thf(zip_derived_cl1752, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl83, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (closed_subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1834, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (closed_subset @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl83])).
% 13.40/2.43 thf(zip_derived_cl1843, plain,
% 13.40/2.43 (( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1836, zip_derived_cl1834])).
% 13.40/2.43 thf(zip_derived_cl1844, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1843])).
% 13.40/2.43 thf(zip_derived_cl1752, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl82, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl1833, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1752, zip_derived_cl82])).
% 13.40/2.43 thf(zip_derived_cl1663, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl91, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 13.40/2.43 | (in @ X1 @ X4)
% 13.40/2.43 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.40/2.43 thf(zip_derived_cl1755, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 13.40/2.43 sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl91])).
% 13.40/2.43 thf(zip_derived_cl95, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (~ (in @ (sk__2 @ X0) @ X0)
% 13.40/2.43 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ X0) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.40/2.43 thf(zip_derived_cl1820, plain,
% 13.40/2.43 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1755, zip_derived_cl95])).
% 13.40/2.43 thf(zip_derived_cl1659, plain,
% 13.40/2.43 (![X0 : $i]: (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1652, zip_derived_cl1657, zip_derived_cl207])).
% 13.40/2.43 thf(zip_derived_cl1822, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1820, zip_derived_cl1659])).
% 13.40/2.43 thf(zip_derived_cl1663, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl88, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1753, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl88])).
% 13.40/2.43 thf(zip_derived_cl1663, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl89, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1754, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (in @ (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl89])).
% 13.40/2.43 thf(zip_derived_cl1760, plain,
% 13.40/2.43 (( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1753, zip_derived_cl1754])).
% 13.40/2.43 thf(zip_derived_cl1761, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1760])).
% 13.40/2.43 thf(zip_derived_cl1828, plain,
% 13.40/2.43 ((~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1822, zip_derived_cl1761])).
% 13.40/2.43 thf(zip_derived_cl1838, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1833, zip_derived_cl1828])).
% 13.40/2.43 thf(zip_derived_cl1839, plain,
% 13.40/2.43 ((~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1838])).
% 13.40/2.43 thf(zip_derived_cl1847, plain,
% 13.40/2.43 ((((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1844, zip_derived_cl1839])).
% 13.40/2.43 thf(zip_derived_cl1849, plain,
% 13.40/2.43 ((~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 13.40/2.43 thf(zip_derived_cl1885, plain,
% 13.40/2.43 (((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1883, zip_derived_cl1849])).
% 13.40/2.43 thf(zip_derived_cl3, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (closed_subset @ (sk__3 @ X0) @ sk_) | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.43 thf(zip_derived_cl1892, plain,
% 13.40/2.43 (( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl1885, zip_derived_cl3])).
% 13.40/2.43 thf(zip_derived_cl1, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (element @ (sk__3 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (in @ (sk__2 @ X0) @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.40/2.43 thf(zip_derived_cl1661, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1659, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl1662, plain,
% 13.40/2.43 (( (element @ (sk__3 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl1885, plain,
% 13.40/2.43 (((sk__3 @ (sk__15 @ sk__1 @ sk_)) = (sk__2 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1883, zip_derived_cl1849])).
% 13.40/2.43 thf(zip_derived_cl1886, plain,
% 13.40/2.43 (( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1662, zip_derived_cl1885])).
% 13.40/2.43 thf(zip_derived_cl328, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.43 (~ (subset @ X1 @ X0)
% 13.40/2.43 | ~ (closed_subset @ X0 @ X2)
% 13.40/2.43 | ~ (element @ X0 @ (powerset @ (the_carrier @ X2)))
% 13.40/2.43 | (zip_tseitin_4 @ X0 @ X0 @ X1 @ X2))),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 13.40/2.43 thf(zip_derived_cl1929, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ X0 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1886, zip_derived_cl328])).
% 13.40/2.43 thf(zip_derived_cl1957, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_))
% 13.40/2.43 | ~ (subset @ X0 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1892, zip_derived_cl1929])).
% 13.40/2.43 thf(zip_derived_cl1661, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1659, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl1979, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk_)
% 13.40/2.43 | ~ (subset @ X0 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1957, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl1981, plain,
% 13.40/2.43 (( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_))
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1979])).
% 13.40/2.43 thf(zip_derived_cl1661, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1659, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl1988, plain,
% 13.40/2.43 (( (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl1981, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl87, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__10 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.40/2.43 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl1989, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1988, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl84, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl2032, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1989, zip_derived_cl84])).
% 13.40/2.43 thf(zip_derived_cl1989, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1988, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl2045, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl2032, zip_derived_cl1989])).
% 13.40/2.43 thf(zip_derived_cl2047, plain,
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl2045])).
% 13.40/2.43 thf(zip_derived_cl325, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.40/2.43 ( (in @ (sk__2 @ X0) @ X0)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ X1 @ sk_)
% 13.40/2.43 | ~ (zip_tseitin_4 @ X2 @ (sk__2 @ X0) @ X1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl321])).
% 13.40/2.43 thf(zip_derived_cl2053, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2047, zip_derived_cl325])).
% 13.40/2.43 thf(zip_derived_cl1661, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__11 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 13.40/2.43 | ~ (in @ X0 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1659, zip_derived_cl92])).
% 13.40/2.43 thf(zip_derived_cl2119, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2053, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl88, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl2139, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | ((sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 = (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2119, zip_derived_cl88])).
% 13.40/2.43 thf(zip_derived_cl2119, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @
% 13.40/2.43 (sk__11 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2053, zip_derived_cl1661])).
% 13.40/2.43 thf(zip_derived_cl2142, plain,
% 13.40/2.43 (( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup+', [status(thm)], [zip_derived_cl2139, zip_derived_cl2119])).
% 13.40/2.43 thf(zip_derived_cl2143, plain,
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl2142])).
% 13.40/2.43 thf(zip_derived_cl91, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.40/2.43 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 13.40/2.43 | (in @ X1 @ X4)
% 13.40/2.43 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.40/2.43 thf(zip_derived_cl2147, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 13.40/2.43 sk_)
% 13.40/2.43 | (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ X0))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2143, zip_derived_cl91])).
% 13.40/2.43 thf(zip_derived_cl95, plain,
% 13.40/2.43 (![X0 : $i]:
% 13.40/2.43 (~ (in @ (sk__2 @ X0) @ X0)
% 13.40/2.43 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ X0))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ X0) @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.40/2.43 thf(zip_derived_cl2173, plain,
% 13.40/2.43 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.40/2.43 | ~ (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))
% 13.40/2.43 | ~ (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)
% 13.40/2.43 | ~ (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))
% 13.40/2.43 | ~ (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2147, zip_derived_cl95])).
% 13.40/2.43 thf(zip_derived_cl1659, plain,
% 13.40/2.43 (![X0 : $i]: (zip_tseitin_6 @ X0 @ (sk__15 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl1652, zip_derived_cl1657, zip_derived_cl207])).
% 13.40/2.43 thf(zip_derived_cl2047, plain,
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl2045])).
% 13.40/2.43 thf(zip_derived_cl85, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl2051, plain,
% 13.40/2.43 ( (element @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2047, zip_derived_cl85])).
% 13.40/2.43 thf(zip_derived_cl2047, plain,
% 13.40/2.43 ( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl2045])).
% 13.40/2.43 thf(zip_derived_cl83, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (closed_subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl2050, plain,
% 13.40/2.43 ( (closed_subset @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk_)),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2047, zip_derived_cl83])).
% 13.40/2.43 thf(zip_derived_cl1989, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (zip_tseitin_4 @
% 13.40/2.43 (sk__10 @ sk_ @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1988, zip_derived_cl87])).
% 13.40/2.43 thf(zip_derived_cl82, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl2029, plain,
% 13.40/2.43 (( (zip_tseitin_4 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.40/2.43 | (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_))))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl1989, zip_derived_cl82])).
% 13.40/2.43 thf(zip_derived_cl82, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (subset @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.40/2.43 thf(zip_derived_cl2034, plain,
% 13.40/2.43 ( (subset @ sk__1 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)))),
% 13.40/2.43 inference('clc', [status(thm)], [zip_derived_cl2029, zip_derived_cl82])).
% 13.40/2.43 thf(zip_derived_cl2143, plain,
% 13.40/2.43 ( (zip_tseitin_5 @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (sk__2 @ (sk__15 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.40/2.43 inference('simplify', [status(thm)], [zip_derived_cl2142])).
% 13.40/2.43 thf(zip_derived_cl89, plain,
% 13.40/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.40/2.43 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 13.40/2.43 | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 13.40/2.43 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.40/2.43 thf(zip_derived_cl2146, plain,
% 13.40/2.43 ( (in @ (sk__2 @ (sk__15 @ sk__1 @ sk_)) @
% 13.40/2.43 (powerset @ (the_carrier @ sk_)))),
% 13.40/2.43 inference('sup-', [status(thm)], [zip_derived_cl2143, zip_derived_cl89])).
% 13.40/2.43 thf(zip_derived_cl2175, plain, ($false),
% 13.40/2.43 inference('demod', [status(thm)],
% 13.40/2.43 [zip_derived_cl2173, zip_derived_cl1659, zip_derived_cl2051,
% 13.40/2.43 zip_derived_cl2050, zip_derived_cl2034, zip_derived_cl2146])).
% 13.40/2.43
% 13.40/2.43 % SZS output end Refutation
% 13.40/2.43
% 13.40/2.43
% 13.40/2.43 % Terminating...
% 14.08/2.63 % Runner terminated.
% 14.08/2.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------