%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU298+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WZmP6xaEED true
% Computer : n012.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 04:54:09 PM UTC 2025
% Result : Theorem 5.08s 1.37s
% Output : Refutation 5.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU298+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WZmP6xaEED true
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:02:08 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.08/1.37 % Solved by fo/fo7.sh.
% 5.08/1.37 % done 529 iterations in 0.532s
% 5.08/1.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.08/1.37 % SZS output start Refutation
% 5.08/1.37 thf(powerset_type, type, powerset: $i > $i).
% 5.08/1.37 thf(sk__24_type, type, sk__24: $i > $i > $i).
% 5.08/1.37 thf(sk__27_type, type, sk__27: $i > $i > $i).
% 5.08/1.37 thf(succ_type, type, succ: $i > $i).
% 5.08/1.37 thf(in_type, type, in: $i > $i > $o).
% 5.08/1.37 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 5.08/1.37 thf(singleton_type, type, singleton: $i > $i).
% 5.08/1.37 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $i > $o).
% 5.08/1.37 thf(ordinal_type, type, ordinal: $i > $o).
% 5.08/1.37 thf(sk__3_type, type, sk__3: $i > $i).
% 5.08/1.37 thf(sk__type, type, sk_: $i).
% 5.08/1.37 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 5.08/1.37 thf(set_difference_type, type, set_difference: $i > $i > $i).
% 5.08/1.37 thf(sk__2_type, type, sk__2: $i > $i).
% 5.08/1.37 thf(element_type, type, element: $i > $i > $o).
% 5.08/1.37 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 5.08/1.37 thf(sk__23_type, type, sk__23: $i > $i > $i > $i).
% 5.08/1.37 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 5.08/1.37 thf(sk__25_type, type, sk__25: $i > $i > $i).
% 5.08/1.37 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 5.08/1.37 thf(sk__22_type, type, sk__22: $i > $i > $i > $i).
% 5.08/1.37 thf(sk__26_type, type, sk__26: $i > $i > $i).
% 5.08/1.37 thf(sk__1_type, type, sk__1: $i).
% 5.08/1.37 thf(s1_xboole_0__e4_27_3_1__finset_1, conjecture,
% 5.08/1.37 (![A:$i,B:$i]:
% 5.08/1.37 ( ( ( ordinal @ A ) &
% 5.08/1.37 ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) ) =>
% 5.08/1.37 ( ?[C:$i]:
% 5.08/1.37 ( ![D:$i]:
% 5.08/1.37 ( ( in @ D @ C ) <=>
% 5.08/1.37 ( ( in @ D @ ( powerset @ A ) ) &
% 5.08/1.37 ( ?[E:$i]:
% 5.08/1.37 ( ( ( D ) = ( set_difference @ E @ ( singleton @ A ) ) ) &
% 5.08/1.37 ( in @ E @ B ) ) ) ) ) ) ) ))).
% 5.08/1.37 thf(zf_stmt_0, negated_conjecture,
% 5.08/1.37 (~( ![A:$i,B:$i]:
% 5.08/1.37 ( ( ( ordinal @ A ) &
% 5.08/1.37 ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) ) =>
% 5.08/1.37 ( ?[C:$i]:
% 5.08/1.37 ( ![D:$i]:
% 5.08/1.37 ( ( in @ D @ C ) <=>
% 5.08/1.37 ( ( in @ D @ ( powerset @ A ) ) &
% 5.08/1.37 ( ?[E:$i]:
% 5.08/1.37 ( ( ( D ) = ( set_difference @ E @ ( singleton @ A ) ) ) &
% 5.08/1.37 ( in @ E @ B ) ) ) ) ) ) ) ) )),
% 5.08/1.37 inference('cnf.neg', [status(esa)], [s1_xboole_0__e4_27_3_1__finset_1])).
% 5.08/1.37 thf(zip_derived_cl2, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ X0) = (set_difference @ (sk__3 @ X0) @ (singleton @ sk_)))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl1, plain,
% 5.08/1.37 (![X0 : $i]: ( (in @ (sk__3 @ X0) @ sk__1) | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(s1_tarski__e4_27_3_1__finset_1__1, axiom,
% 5.08/1.37 (![A:$i,B:$i]:
% 5.08/1.37 ( ( ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) &
% 5.08/1.37 ( ordinal @ A ) ) =>
% 5.08/1.37 ( ( ![C:$i,D:$i,E:$i]:
% 5.08/1.37 ( ( ( ?[G:$i]:
% 5.08/1.37 ( ( in @ G @ B ) &
% 5.08/1.37 ( ( E ) = ( set_difference @ G @ ( singleton @ A ) ) ) ) ) &
% 5.08/1.37 ( ( C ) = ( E ) ) &
% 5.08/1.37 ( ?[F:$i]:
% 5.08/1.37 ( ( in @ F @ B ) &
% 5.08/1.37 ( ( D ) = ( set_difference @ F @ ( singleton @ A ) ) ) ) ) &
% 5.08/1.37 ( ( C ) = ( D ) ) ) =>
% 5.08/1.37 ( ( D ) = ( E ) ) ) ) =>
% 5.08/1.37 ( ?[C:$i]:
% 5.08/1.37 ( ![D:$i]:
% 5.08/1.37 ( ( in @ D @ C ) <=>
% 5.08/1.37 ( ?[E:$i]:
% 5.08/1.37 ( ( in @ E @ ( powerset @ A ) ) & ( ( E ) = ( D ) ) &
% 5.08/1.37 ( ?[H:$i]:
% 5.08/1.37 ( ( in @ H @ B ) &
% 5.08/1.37 ( ( D ) = ( set_difference @ H @ ( singleton @ A ) ) ) ) ) ) ) ) ) ) ) ))).
% 5.08/1.37 thf(zf_stmt_1, axiom,
% 5.08/1.37 (![H:$i,D:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_4 @ H @ D @ B @ A ) <=>
% 5.08/1.37 ( ( ( D ) = ( set_difference @ H @ ( singleton @ A ) ) ) &
% 5.08/1.37 ( in @ H @ B ) ) ))).
% 5.08/1.37 thf(zip_derived_cl112, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 5.08/1.37 | ~ (in @ X0 @ X2)
% 5.08/1.37 | ((X1) != (set_difference @ X0 @ (singleton @ X3))))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl280, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.08/1.37 (~ (in @ X1 @ X0)
% 5.08/1.37 | (zip_tseitin_4 @ X1 @ (set_difference @ X1 @ (singleton @ X2)) @
% 5.08/1.37 X0 @ X2))),
% 5.08/1.37 inference('eq_res', [status(thm)], [zip_derived_cl112])).
% 5.08/1.37 thf(zip_derived_cl307, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ X0) @
% 5.08/1.37 (set_difference @ (sk__3 @ X0) @ (singleton @ X1)) @ sk__1 @ X1))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl280])).
% 5.08/1.37 thf(zip_derived_cl313, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ (sk__3 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl307])).
% 5.08/1.37 thf(zip_derived_cl314, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl313])).
% 5.08/1.37 thf(zf_stmt_2, axiom,
% 5.08/1.37 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( ( zip_tseitin_2 @ E @ D @ C @ B @ A ) => ( ( D ) = ( E ) ) ) =>
% 5.08/1.37 ( zip_tseitin_3 @ E @ D @ C @ B @ A ) ))).
% 5.08/1.37 thf(zip_derived_cl109, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4)
% 5.08/1.37 | (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.08/1.37 thf(zip_derived_cl4, plain,
% 5.08/1.37 ( (element @ sk__1 @ (powerset @ (powerset @ (succ @ sk_))))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zf_stmt_3, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_4, axiom,
% 5.08/1.37 (![D:$i,C:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_6 @ D @ C @ B @ A ) =>
% 5.08/1.37 ( ( in @ D @ C ) <=> ( ?[E:$i]: ( zip_tseitin_5 @ E @ D @ B @ A ) ) ) ))).
% 5.08/1.37 thf(zf_stmt_5, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_6, axiom,
% 5.08/1.37 (![E:$i,D:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_5 @ E @ D @ B @ A ) <=>
% 5.08/1.37 ( ( ?[H:$i]: ( zip_tseitin_4 @ H @ D @ B @ A ) ) & ( ( E ) = ( D ) ) &
% 5.08/1.37 ( in @ E @ ( powerset @ A ) ) ) ))).
% 5.08/1.37 thf(zf_stmt_7, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_9, type, zip_tseitin_2 : $i > $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_10, axiom,
% 5.08/1.37 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_2 @ E @ D @ C @ B @ A ) =>
% 5.08/1.37 ( ( ( C ) = ( D ) ) & ( ?[F:$i]: ( zip_tseitin_1 @ F @ D @ B @ A ) ) &
% 5.08/1.37 ( ( C ) = ( E ) ) & ( ?[G:$i]: ( zip_tseitin_0 @ G @ E @ B @ A ) ) ) ))).
% 5.08/1.37 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_12, axiom,
% 5.08/1.37 (![F:$i,D:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_1 @ F @ D @ B @ A ) =>
% 5.08/1.37 ( ( ( D ) = ( set_difference @ F @ ( singleton @ A ) ) ) &
% 5.08/1.37 ( in @ F @ B ) ) ))).
% 5.08/1.37 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 5.08/1.37 thf(zf_stmt_14, axiom,
% 5.08/1.37 (![G:$i,E:$i,B:$i,A:$i]:
% 5.08/1.37 ( ( zip_tseitin_0 @ G @ E @ B @ A ) =>
% 5.08/1.37 ( ( ( E ) = ( set_difference @ G @ ( singleton @ A ) ) ) &
% 5.08/1.37 ( in @ G @ B ) ) ))).
% 5.08/1.37 thf(zf_stmt_15, axiom,
% 5.08/1.37 (![A:$i,B:$i]:
% 5.08/1.37 ( ( ( ordinal @ A ) &
% 5.08/1.37 ( element @ B @ ( powerset @ ( powerset @ ( succ @ A ) ) ) ) ) =>
% 5.08/1.37 ( ( ![C:$i,D:$i,E:$i]: ( zip_tseitin_3 @ E @ D @ C @ B @ A ) ) =>
% 5.08/1.37 ( ?[C:$i]: ( ![D:$i]: ( zip_tseitin_6 @ D @ C @ B @ A ) ) ) ) ))).
% 5.08/1.37 thf(zip_derived_cl119, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.08/1.37 (~ (ordinal @ X0)
% 5.08/1.37 | ~ (element @ X1 @ (powerset @ (powerset @ (succ @ X0))))
% 5.08/1.37 | (zip_tseitin_6 @ X2 @ (sk__27 @ X1 @ X0) @ X1 @ X0)
% 5.08/1.37 | ~ (zip_tseitin_3 @ (sk__26 @ X1 @ X0) @ (sk__25 @ X1 @ X0) @
% 5.08/1.37 (sk__24 @ X1 @ X0) @ X1 @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_15])).
% 5.08/1.37 thf(zip_derived_cl357, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_3 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ~ (ordinal @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl119])).
% 5.08/1.37 thf(zip_derived_cl5, plain, ( (ordinal @ sk_)),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl362, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_3 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl5])).
% 5.08/1.37 thf(zip_derived_cl366, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl362])).
% 5.08/1.37 thf(zip_derived_cl118, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (~ (in @ X0 @ X1)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__23 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 5.08/1.37 | ~ (zip_tseitin_6 @ X0 @ X1 @ X3 @ X2))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.08/1.37 thf(zip_derived_cl380, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__23 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 5.08/1.37 | ~ (in @ X0 @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl118])).
% 5.08/1.37 thf(zip_derived_cl383, plain,
% 5.08/1.37 (( (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl314, zip_derived_cl380])).
% 5.08/1.37 thf(zip_derived_cl114, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl386, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)))
% 5.08/1.37 = (sk__2 @ (sk__27 @ sk__1 @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl383, zip_derived_cl114])).
% 5.08/1.37 thf(zip_derived_cl383, plain,
% 5.08/1.37 (( (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl314, zip_derived_cl380])).
% 5.08/1.37 thf(zip_derived_cl389, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl383])).
% 5.08/1.37 thf(zip_derived_cl390, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl389])).
% 5.08/1.37 thf(zip_derived_cl111, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (in @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X1 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl442, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @ sk__1))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl111])).
% 5.08/1.37 thf(zip_derived_cl2, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ X0) = (set_difference @ (sk__3 @ X0) @ (singleton @ sk_)))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl112, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 5.08/1.37 | ~ (in @ X0 @ X2)
% 5.08/1.37 | ((X1) != (set_difference @ X0 @ (singleton @ X3))))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl279, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.08/1.37 (((X1) != (sk__2 @ X0))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ~ (in @ (sk__3 @ X0) @ X2)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ X0) @ X1 @ X2 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl112])).
% 5.08/1.37 thf(zip_derived_cl353, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ (sk__3 @ X1) @ (sk__2 @ X1) @ X0 @ sk_)
% 5.08/1.37 | ~ (in @ (sk__3 @ X1) @ X0)
% 5.08/1.37 | (in @ (sk__2 @ X1) @ X1))),
% 5.08/1.37 inference('eq_res', [status(thm)], [zip_derived_cl279])).
% 5.08/1.37 thf(zip_derived_cl448, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl353])).
% 5.08/1.37 thf(zip_derived_cl314, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl313])).
% 5.08/1.37 thf(zip_derived_cl496, plain,
% 5.08/1.37 (( (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl448, zip_derived_cl314])).
% 5.08/1.37 thf(zip_derived_cl0, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ (powerset @ sk_)) | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl116, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 5.08/1.37 | ~ (in @ X0 @ (powerset @ X3))
% 5.08/1.37 | ((X0) != (X1))
% 5.08/1.37 | ~ (zip_tseitin_4 @ X4 @ X1 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl281, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (~ (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0)
% 5.08/1.37 | ~ (in @ X2 @ (powerset @ X0))
% 5.08/1.37 | (zip_tseitin_5 @ X2 @ X2 @ X1 @ X0))),
% 5.08/1.37 inference('eq_res', [status(thm)], [zip_derived_cl116])).
% 5.08/1.37 thf(zip_derived_cl285, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ X1 @ sk_)
% 5.08/1.37 | ~ (zip_tseitin_4 @ X2 @ (sk__2 @ X0) @ X1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl281])).
% 5.08/1.37 thf(zip_derived_cl497, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl496, zip_derived_cl285])).
% 5.08/1.37 thf(zip_derived_cl362, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_3 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl5])).
% 5.08/1.37 thf(zip_derived_cl390, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @ (sk__3 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl389])).
% 5.08/1.37 thf(zip_derived_cl285, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ X1 @ sk_)
% 5.08/1.37 | ~ (zip_tseitin_4 @ X2 @ (sk__2 @ X0) @ X1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl281])).
% 5.08/1.37 thf(zip_derived_cl443, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl285])).
% 5.08/1.37 thf(zip_derived_cl444, plain,
% 5.08/1.37 (( (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl443])).
% 5.08/1.37 thf(zip_derived_cl380, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__23 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 5.08/1.37 | ~ (in @ X0 @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl118])).
% 5.08/1.37 thf(zip_derived_cl451, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl380])).
% 5.08/1.37 thf(zip_derived_cl454, plain,
% 5.08/1.37 (( (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl451])).
% 5.08/1.37 thf(zip_derived_cl114, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl609, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)))
% 5.08/1.37 = (sk__2 @ (sk__27 @ sk__1 @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl114])).
% 5.08/1.37 thf(zip_derived_cl454, plain,
% 5.08/1.37 (( (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl451])).
% 5.08/1.37 thf(zip_derived_cl617, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup+', [status(thm)], [zip_derived_cl609, zip_derived_cl454])).
% 5.08/1.37 thf(zip_derived_cl621, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl617])).
% 5.08/1.37 thf(zip_derived_cl117, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 5.08/1.37 | (in @ X1 @ X4)
% 5.08/1.37 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.08/1.37 thf(zip_derived_cl625, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 5.08/1.37 sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ X0))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl117])).
% 5.08/1.37 thf(zip_derived_cl621, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl617])).
% 5.08/1.37 thf(zip_derived_cl113, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ (sk__22 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 5.08/1.37 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl622, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl113])).
% 5.08/1.37 thf(zip_derived_cl111, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (in @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X1 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl667, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 sk__1))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl622, zip_derived_cl111])).
% 5.08/1.37 thf(zip_derived_cl3, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 (~ (in @ X1 @ sk__1)
% 5.08/1.37 | ((sk__2 @ X0) != (set_difference @ X1 @ (singleton @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl671, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ((sk__2 @ X0)
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl667, zip_derived_cl3])).
% 5.08/1.37 thf(zip_derived_cl693, plain,
% 5.08/1.37 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_))
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl625, zip_derived_cl671])).
% 5.08/1.37 thf(zip_derived_cl699, plain,
% 5.08/1.37 ((~ (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_))
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_)))
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl693])).
% 5.08/1.37 thf(zip_derived_cl621, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl617])).
% 5.08/1.37 thf(zip_derived_cl115, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (in @ X0 @ (powerset @ X1)) | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl624, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl115])).
% 5.08/1.37 thf(zip_derived_cl708, plain,
% 5.08/1.37 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_))))),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl699, zip_derived_cl624])).
% 5.08/1.37 thf(zip_derived_cl366, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl362])).
% 5.08/1.37 thf(zip_derived_cl709, plain,
% 5.08/1.37 ((((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_)))
% 5.08/1.37 | (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl708, zip_derived_cl366])).
% 5.08/1.37 thf(zip_derived_cl622, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_4 @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl113])).
% 5.08/1.37 thf(zip_derived_cl110, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (((X2) = (set_difference @ X0 @ (singleton @ X1)))
% 5.08/1.37 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl666, plain,
% 5.08/1.37 (( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 = (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl622, zip_derived_cl110])).
% 5.08/1.37 thf(zip_derived_cl710, plain,
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl709, zip_derived_cl666])).
% 5.08/1.37 thf(zip_derived_cl104, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X2 @ X0 @ X1 @ X3 @ X4))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.08/1.37 thf(zip_derived_cl711, plain,
% 5.08/1.37 (((sk__24 @ sk__1 @ sk_) = (sk__25 @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl710, zip_derived_cl104])).
% 5.08/1.37 thf(zip_derived_cl715, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_3 @ (sk__26 @ sk__1 @ sk_) @ (sk__24 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 5.08/1.37 inference('demod', [status(thm)], [zip_derived_cl362, zip_derived_cl711])).
% 5.08/1.37 thf(zip_derived_cl710, plain,
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__25 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl709, zip_derived_cl666])).
% 5.08/1.37 thf(zip_derived_cl711, plain,
% 5.08/1.37 (((sk__24 @ sk__1 @ sk_) = (sk__25 @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl710, zip_derived_cl104])).
% 5.08/1.37 thf(zip_derived_cl716, plain,
% 5.08/1.37 ( (zip_tseitin_2 @ (sk__26 @ sk__1 @ sk_) @ (sk__24 @ sk__1 @ sk_) @
% 5.08/1.37 (sk__24 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 5.08/1.37 inference('demod', [status(thm)], [zip_derived_cl710, zip_derived_cl711])).
% 5.08/1.37 thf(zip_derived_cl106, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.08/1.37 thf(zip_derived_cl719, plain,
% 5.08/1.37 (((sk__24 @ sk__1 @ sk_) = (sk__26 @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl716, zip_derived_cl106])).
% 5.08/1.37 thf(zip_derived_cl108, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4) | ((X1) != (X0)))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.08/1.37 thf(zip_derived_cl168, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (zip_tseitin_3 @ X3 @ X3 @ X2 @ X1 @ X0)),
% 5.08/1.37 inference('eq_res', [status(thm)], [zip_derived_cl108])).
% 5.08/1.37 thf(zip_derived_cl758, plain,
% 5.08/1.37 (![X0 : $i]: (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 5.08/1.37 inference('demod', [status(thm)],
% 5.08/1.37 [zip_derived_cl715, zip_derived_cl719, zip_derived_cl168])).
% 5.08/1.37 thf(zip_derived_cl118, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (~ (in @ X0 @ X1)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__23 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 5.08/1.37 | ~ (zip_tseitin_6 @ X0 @ X1 @ X3 @ X2))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.08/1.37 thf(zip_derived_cl759, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (zip_tseitin_5 @ (sk__23 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 5.08/1.37 | ~ (in @ X0 @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl758, zip_derived_cl118])).
% 5.08/1.37 thf(zip_derived_cl764, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl759])).
% 5.08/1.37 thf(zip_derived_cl114, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl888, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)))
% 5.08/1.37 = (sk__2 @ (sk__27 @ sk__1 @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl764, zip_derived_cl114])).
% 5.08/1.37 thf(zip_derived_cl764, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @
% 5.08/1.37 (sk__23 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl759])).
% 5.08/1.37 thf(zip_derived_cl894, plain,
% 5.08/1.37 (( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 5.08/1.37 | (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 5.08/1.37 inference('sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl764])).
% 5.08/1.37 thf(zip_derived_cl898, plain,
% 5.08/1.37 ( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 5.08/1.37 thf(zip_derived_cl115, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (in @ X0 @ (powerset @ X1)) | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl901, plain,
% 5.08/1.37 ( (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl115])).
% 5.08/1.37 thf(zip_derived_cl898, plain,
% 5.08/1.37 ( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 5.08/1.37 thf(zip_derived_cl113, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (zip_tseitin_4 @ (sk__22 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 5.08/1.37 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.08/1.37 thf(zip_derived_cl899, plain,
% 5.08/1.37 ( (zip_tseitin_4 @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl113])).
% 5.08/1.37 thf(zip_derived_cl111, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 ( (in @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X2 @ X1 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl990, plain,
% 5.08/1.37 ( (in @ (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @ sk__1)),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl899, zip_derived_cl111])).
% 5.08/1.37 thf(zip_derived_cl3, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 (~ (in @ X1 @ sk__1)
% 5.08/1.37 | ((sk__2 @ X0) != (set_difference @ X1 @ (singleton @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl995, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ((sk__2 @ X0)
% 5.08/1.37 != (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl990, zip_derived_cl3])).
% 5.08/1.37 thf(zip_derived_cl899, plain,
% 5.08/1.37 ( (zip_tseitin_4 @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl113])).
% 5.08/1.37 thf(zip_derived_cl110, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.08/1.37 (((X2) = (set_difference @ X0 @ (singleton @ X1)))
% 5.08/1.37 | ~ (zip_tseitin_4 @ X0 @ X2 @ X3 @ X1))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.08/1.37 thf(zip_derived_cl989, plain,
% 5.08/1.37 (((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 = (set_difference @
% 5.08/1.37 (sk__22 @ sk_ @ sk__1 @ (sk__2 @ (sk__27 @ sk__1 @ sk_))) @
% 5.08/1.37 (singleton @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl899, zip_derived_cl110])).
% 5.08/1.37 thf(zip_derived_cl1051, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ((sk__2 @ X0) != (sk__2 @ (sk__27 @ sk__1 @ sk_))))),
% 5.08/1.37 inference('demod', [status(thm)], [zip_derived_cl995, zip_derived_cl989])).
% 5.08/1.37 thf(zip_derived_cl2, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ X0) = (set_difference @ (sk__3 @ X0) @ (singleton @ sk_)))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl898, plain,
% 5.08/1.37 ( (zip_tseitin_5 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 5.08/1.37 thf(zip_derived_cl117, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.08/1.37 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 5.08/1.37 | (in @ X1 @ X4)
% 5.08/1.37 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.08/1.37 thf(zip_derived_cl902, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 5.08/1.37 sk_)
% 5.08/1.37 | (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ X0))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl117])).
% 5.08/1.37 thf(zip_derived_cl1, plain,
% 5.08/1.37 (![X0 : $i]: ( (in @ (sk__3 @ X0) @ sk__1) | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl3, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 (~ (in @ X1 @ sk__1)
% 5.08/1.37 | ((sk__2 @ X0) != (set_difference @ X1 @ (singleton @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.37 thf(zip_derived_cl205, plain,
% 5.08/1.37 (![X0 : $i, X1 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ~ (in @ (sk__2 @ X1) @ X1)
% 5.08/1.37 | ~ (in @ (sk__2 @ X1) @ (powerset @ sk_))
% 5.08/1.37 | ((sk__2 @ X1)
% 5.08/1.37 != (set_difference @ (sk__3 @ X0) @ (singleton @ sk_))))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 5.08/1.37 thf(zip_derived_cl925, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (~ (zip_tseitin_6 @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @
% 5.08/1.37 (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @ (sk__3 @ X0) @ (singleton @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl902, zip_derived_cl205])).
% 5.08/1.37 thf(zip_derived_cl758, plain,
% 5.08/1.37 (![X0 : $i]: (zip_tseitin_6 @ X0 @ (sk__27 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 5.08/1.37 inference('demod', [status(thm)],
% 5.08/1.37 [zip_derived_cl715, zip_derived_cl719, zip_derived_cl168])).
% 5.08/1.37 thf(zip_derived_cl901, plain,
% 5.08/1.37 ( (in @ (sk__2 @ (sk__27 @ sk__1 @ sk_)) @ (powerset @ sk_))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl115])).
% 5.08/1.37 thf(zip_derived_cl932, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ (sk__27 @ sk__1 @ sk_))
% 5.08/1.37 != (set_difference @ (sk__3 @ X0) @ (singleton @ sk_)))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('demod', [status(thm)],
% 5.08/1.37 [zip_derived_cl925, zip_derived_cl758, zip_derived_cl901])).
% 5.08/1.37 thf(zip_derived_cl933, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ (sk__27 @ sk__1 @ sk_)) != (sk__2 @ X0))
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | (in @ (sk__2 @ X0) @ X0))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl932])).
% 5.08/1.37 thf(zip_derived_cl934, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 ( (in @ (sk__2 @ X0) @ X0)
% 5.08/1.37 | ((sk__2 @ (sk__27 @ sk__1 @ sk_)) != (sk__2 @ X0)))),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl933])).
% 5.08/1.37 thf(zip_derived_cl1052, plain,
% 5.08/1.37 (![X0 : $i]:
% 5.08/1.37 (((sk__2 @ X0) != (sk__2 @ (sk__27 @ sk__1 @ sk_)))
% 5.08/1.37 | ~ (in @ (sk__2 @ X0) @ (powerset @ sk_)))),
% 5.08/1.37 inference('clc', [status(thm)], [zip_derived_cl1051, zip_derived_cl934])).
% 5.08/1.37 thf(zip_derived_cl1063, plain,
% 5.08/1.37 (((sk__2 @ (sk__27 @ sk__1 @ sk_)) != (sk__2 @ (sk__27 @ sk__1 @ sk_)))),
% 5.08/1.37 inference('sup-', [status(thm)], [zip_derived_cl901, zip_derived_cl1052])).
% 5.08/1.37 thf(zip_derived_cl1070, plain, ($false),
% 5.08/1.37 inference('simplify', [status(thm)], [zip_derived_cl1063])).
% 5.08/1.37
% 5.08/1.37 % SZS output end Refutation
% 5.08/1.37
% 5.08/1.37
% 5.08/1.37 % Terminating...
% 5.60/1.53 % Runner terminated.
% 5.65/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------