%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU364+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.czsxVmAhlu 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 04:54:23 PM UTC 2025
% Result : Theorem 12.41s 2.48s
% Output : Refutation 13.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU364+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.czsxVmAhlu true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:05:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.41/2.48 % Solved by fo/fo7.sh.
% 12.41/2.48 % done 1637 iterations in 1.666s
% 12.41/2.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.41/2.48 % SZS output start Refutation
% 12.41/2.48 thf(sk__21_type, type, sk__21: $i > $i > $i > $i > $i).
% 12.41/2.48 thf(sk__5_type, type, sk__5: $i > $i).
% 12.41/2.48 thf(sk__2_type, type, sk__2: $i).
% 12.41/2.48 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(sk__19_type, type, sk__19: $i > $i > $i > $i).
% 12.41/2.48 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(transitive_relstr_type, type, transitive_relstr: $i > $o).
% 12.41/2.48 thf(empty_carrier_type, type, empty_carrier: $i > $o).
% 12.41/2.48 thf(sk__3_type, type, sk__3: $i > $i).
% 12.41/2.48 thf(sk__4_type, type, sk__4: $i > $i).
% 12.41/2.48 thf(sk__1_type, type, sk__1: $i).
% 12.41/2.48 thf(the_carrier_type, type, the_carrier: $i > $i).
% 12.41/2.48 thf(element_type, type, element: $i > $i > $o).
% 12.41/2.48 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(powerset_type, type, powerset: $i > $i).
% 12.41/2.48 thf(sk__type, type, sk_: $i).
% 12.41/2.48 thf(sk__20_type, type, sk__20: $i > $i > $i > $i).
% 12.41/2.48 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(sk__25_type, type, sk__25: $i > $i > $i > $i).
% 12.41/2.48 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(sk__24_type, type, sk__24: $i > $i > $i).
% 12.41/2.48 thf(relstr_set_smaller_type, type, relstr_set_smaller: $i > $i > $i > $o).
% 12.41/2.48 thf(sk__23_type, type, sk__23: $i > $i > $i).
% 12.41/2.48 thf(finite_type, type, finite: $i > $o).
% 12.41/2.48 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(sk__22_type, type, sk__22: $i > $i > $i).
% 12.41/2.48 thf(in_type, type, in: $i > $i > $o).
% 12.41/2.48 thf(rel_str_type, type, rel_str: $i > $o).
% 12.41/2.48 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 12.41/2.48 thf(s1_xboole_0__e11_2_1__waybel_0__1, conjecture,
% 12.41/2.48 (![A:$i,B:$i,C:$i]:
% 12.41/2.48 ( ( ( ~( empty_carrier @ A ) ) & ( transitive_relstr @ A ) &
% 12.41/2.48 ( rel_str @ A ) &
% 12.41/2.48 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) &
% 12.41/2.48 ( finite @ C ) & ( element @ C @ ( powerset @ B ) ) ) =>
% 12.41/2.48 ( ?[D:$i]:
% 12.41/2.48 ( ![E:$i]:
% 12.41/2.48 ( ( in @ E @ D ) <=>
% 12.41/2.48 ( ( in @ E @ ( powerset @ C ) ) &
% 12.41/2.48 ( ?[F:$i]:
% 12.41/2.48 ( ( ?[G:$i]:
% 12.41/2.48 ( ( relstr_set_smaller @ A @ F @ G ) & ( in @ G @ B ) &
% 12.41/2.48 ( element @ G @ ( the_carrier @ A ) ) ) ) &
% 12.41/2.48 ( ( F ) = ( E ) ) ) ) ) ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_0, negated_conjecture,
% 12.41/2.48 (~( ![A:$i,B:$i,C:$i]:
% 12.41/2.48 ( ( ( ~( empty_carrier @ A ) ) & ( transitive_relstr @ A ) &
% 12.41/2.48 ( rel_str @ A ) &
% 12.41/2.48 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) &
% 12.41/2.48 ( finite @ C ) & ( element @ C @ ( powerset @ B ) ) ) =>
% 12.41/2.48 ( ?[D:$i]:
% 12.41/2.48 ( ![E:$i]:
% 12.41/2.48 ( ( in @ E @ D ) <=>
% 12.41/2.48 ( ( in @ E @ ( powerset @ C ) ) &
% 12.41/2.48 ( ?[F:$i]:
% 12.41/2.48 ( ( ?[G:$i]:
% 12.41/2.48 ( ( relstr_set_smaller @ A @ F @ G ) &
% 12.41/2.48 ( in @ G @ B ) &
% 12.41/2.48 ( element @ G @ ( the_carrier @ A ) ) ) ) &
% 12.41/2.48 ( ( F ) = ( E ) ) ) ) ) ) ) ) ) )),
% 12.41/2.48 inference('cnf.neg', [status(esa)], [s1_xboole_0__e11_2_1__waybel_0__1])).
% 12.41/2.48 thf(zip_derived_cl1, plain,
% 12.41/2.48 (![X0 : $i]: (((sk__4 @ X0) = (sk__3 @ X0)) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl11, plain,
% 12.41/2.48 ( (element @ sk__1 @ (powerset @ (the_carrier @ sk_)))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl6, plain, ( (element @ sk__2 @ (powerset @ sk__1))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(s1_tarski__e11_2_1__waybel_0__1, axiom,
% 12.41/2.48 (![A:$i,B:$i,C:$i]:
% 12.41/2.48 ( ( ( element @ C @ ( powerset @ B ) ) & ( finite @ C ) &
% 12.41/2.48 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) &
% 12.41/2.48 ( rel_str @ A ) & ( transitive_relstr @ A ) &
% 12.41/2.48 ( ~( empty_carrier @ A ) ) ) =>
% 12.41/2.48 ( ( ![D:$i,E:$i,F:$i]:
% 12.41/2.48 ( ( ( ?[I:$i]:
% 12.41/2.48 ( ( ( I ) = ( F ) ) &
% 12.41/2.48 ( ?[J:$i]:
% 12.41/2.48 ( ( element @ J @ ( the_carrier @ A ) ) &
% 12.41/2.48 ( in @ J @ B ) & ( relstr_set_smaller @ A @ I @ J ) ) ) ) ) &
% 12.41/2.48 ( ( D ) = ( F ) ) &
% 12.41/2.48 ( ?[G:$i]:
% 12.41/2.48 ( ( ( G ) = ( E ) ) &
% 12.41/2.48 ( ?[H:$i]:
% 12.41/2.48 ( ( element @ H @ ( the_carrier @ A ) ) &
% 12.41/2.48 ( in @ H @ B ) & ( relstr_set_smaller @ A @ G @ H ) ) ) ) ) &
% 12.41/2.48 ( ( D ) = ( E ) ) ) =>
% 12.41/2.48 ( ( E ) = ( F ) ) ) ) =>
% 12.41/2.48 ( ?[D:$i]:
% 12.41/2.48 ( ![E:$i]:
% 12.41/2.48 ( ( in @ E @ D ) <=>
% 12.41/2.48 ( ?[F:$i]:
% 12.41/2.48 ( ( in @ F @ ( powerset @ C ) ) & ( ( F ) = ( E ) ) &
% 12.41/2.48 ( ?[K:$i]:
% 12.41/2.48 ( ( ( K ) = ( E ) ) &
% 12.41/2.48 ( ?[L:$i]:
% 12.41/2.48 ( ( element @ L @ ( the_carrier @ A ) ) &
% 12.41/2.48 ( in @ L @ B ) & ( relstr_set_smaller @ A @ K @ L ) ) ) ) ) ) ) ) ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_1, type, zip_tseitin_9 : $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_2, axiom,
% 12.41/2.48 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_9 @ E @ D @ C @ B @ A ) =>
% 12.41/2.48 ( ( in @ E @ D ) <=> ( ?[F:$i]: ( zip_tseitin_8 @ F @ E @ C @ B @ A ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_3, type, zip_tseitin_8 : $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_4, axiom,
% 12.41/2.48 (![F:$i,E:$i,C:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_8 @ F @ E @ C @ B @ A ) <=>
% 12.41/2.48 ( ( ?[K:$i]: ( zip_tseitin_7 @ K @ E @ B @ A ) ) & ( ( F ) = ( E ) ) &
% 12.41/2.48 ( in @ F @ ( powerset @ C ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_5, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_6, axiom,
% 12.41/2.48 (![K:$i,E:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_7 @ K @ E @ B @ A ) <=>
% 12.41/2.48 ( ( ?[L:$i]: ( zip_tseitin_6 @ L @ K @ B @ A ) ) & ( ( K ) = ( E ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_7, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_8, axiom,
% 12.41/2.48 (![L:$i,K:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_6 @ L @ K @ B @ A ) <=>
% 12.41/2.48 ( ( relstr_set_smaller @ A @ K @ L ) & ( in @ L @ B ) &
% 12.41/2.48 ( element @ L @ ( the_carrier @ A ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_9, type, zip_tseitin_5 : $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_10, axiom,
% 12.41/2.48 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( ( zip_tseitin_4 @ F @ E @ D @ B @ A ) => ( ( E ) = ( F ) ) ) =>
% 12.41/2.48 ( zip_tseitin_5 @ F @ E @ D @ B @ A ) ))).
% 12.41/2.48 thf(zf_stmt_11, type, zip_tseitin_4 : $i > $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_12, axiom,
% 12.41/2.48 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_4 @ F @ E @ D @ B @ A ) =>
% 12.41/2.48 ( ( ( D ) = ( E ) ) & ( ?[G:$i]: ( zip_tseitin_3 @ G @ E @ B @ A ) ) &
% 12.41/2.48 ( ( D ) = ( F ) ) & ( ?[I:$i]: ( zip_tseitin_1 @ I @ F @ B @ A ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_13, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_14, axiom,
% 12.41/2.48 (![G:$i,E:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_3 @ G @ E @ B @ A ) =>
% 12.41/2.48 ( ( ?[H:$i]: ( zip_tseitin_2 @ H @ G @ B @ A ) ) & ( ( G ) = ( E ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_15, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_16, axiom,
% 12.41/2.48 (![H:$i,G:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_2 @ H @ G @ B @ A ) =>
% 12.41/2.48 ( ( relstr_set_smaller @ A @ G @ H ) & ( in @ H @ B ) &
% 12.41/2.48 ( element @ H @ ( the_carrier @ A ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_17, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_18, axiom,
% 12.41/2.48 (![I:$i,F:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_1 @ I @ F @ B @ A ) =>
% 12.41/2.48 ( ( ?[J:$i]: ( zip_tseitin_0 @ J @ I @ B @ A ) ) & ( ( I ) = ( F ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_19, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 12.41/2.48 thf(zf_stmt_20, axiom,
% 12.41/2.48 (![J:$i,I:$i,B:$i,A:$i]:
% 12.41/2.48 ( ( zip_tseitin_0 @ J @ I @ B @ A ) =>
% 12.41/2.48 ( ( relstr_set_smaller @ A @ I @ J ) & ( in @ J @ B ) &
% 12.41/2.48 ( element @ J @ ( the_carrier @ A ) ) ) ))).
% 12.41/2.48 thf(zf_stmt_21, axiom,
% 12.41/2.48 (![A:$i,B:$i,C:$i]:
% 12.41/2.48 ( ( ( ~( empty_carrier @ A ) ) & ( transitive_relstr @ A ) &
% 12.41/2.48 ( rel_str @ A ) &
% 12.41/2.48 ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) &
% 12.41/2.48 ( finite @ C ) & ( element @ C @ ( powerset @ B ) ) ) =>
% 12.41/2.48 ( ( ![D:$i,E:$i,F:$i]: ( zip_tseitin_5 @ F @ E @ D @ B @ A ) ) =>
% 12.41/2.48 ( ?[D:$i]: ( ![E:$i]: ( zip_tseitin_9 @ E @ D @ C @ B @ A ) ) ) ) ))).
% 12.41/2.48 thf(zip_derived_cl69, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 (~ (zip_tseitin_5 @ (sk__24 @ X0 @ X1) @ (sk__23 @ X0 @ X1) @
% 12.41/2.48 (sk__22 @ X0 @ X1) @ X0 @ X1)
% 12.41/2.48 | ~ (element @ X0 @ (powerset @ (the_carrier @ X1)))
% 12.41/2.48 | ~ (rel_str @ X1)
% 12.41/2.48 | ~ (transitive_relstr @ X1)
% 12.41/2.48 | (empty_carrier @ X1)
% 12.41/2.48 | ~ (finite @ X2)
% 12.41/2.48 | ~ (element @ X2 @ (powerset @ X0))
% 12.41/2.48 | (zip_tseitin_9 @ X3 @ (sk__25 @ X2 @ X0 @ X1) @ X2 @ X0 @ X1))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_21])).
% 12.41/2.48 thf(zip_derived_cl166, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 ( (zip_tseitin_9 @ X1 @ (sk__25 @ sk__2 @ sk__1 @ X0) @ sk__2 @
% 12.41/2.48 sk__1 @ X0)
% 12.41/2.48 | ~ (finite @ sk__2)
% 12.41/2.48 | (empty_carrier @ X0)
% 12.41/2.48 | ~ (transitive_relstr @ X0)
% 12.41/2.48 | ~ (rel_str @ X0)
% 12.41/2.48 | ~ (element @ sk__1 @ (powerset @ (the_carrier @ X0)))
% 12.41/2.48 | ~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ X0) @ (sk__23 @ sk__1 @ X0) @
% 12.41/2.48 (sk__22 @ sk__1 @ X0) @ sk__1 @ X0))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl69])).
% 12.41/2.48 thf(zip_derived_cl7, plain, ( (finite @ sk__2)),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl172, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 ( (zip_tseitin_9 @ X1 @ (sk__25 @ sk__2 @ sk__1 @ X0) @ sk__2 @
% 12.41/2.48 sk__1 @ X0)
% 12.41/2.48 | (empty_carrier @ X0)
% 12.41/2.48 | ~ (transitive_relstr @ X0)
% 12.41/2.48 | ~ (rel_str @ X0)
% 12.41/2.48 | ~ (element @ sk__1 @ (powerset @ (the_carrier @ X0)))
% 12.41/2.48 | ~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ X0) @ (sk__23 @ sk__1 @ X0) @
% 12.41/2.48 (sk__22 @ sk__1 @ X0) @ sk__1 @ X0))),
% 12.41/2.48 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl7])).
% 12.41/2.48 thf(zip_derived_cl173, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ~ (rel_str @ sk_)
% 12.41/2.48 | ~ (transitive_relstr @ sk_)
% 12.41/2.48 | (empty_carrier @ sk_)
% 12.41/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl172])).
% 12.41/2.48 thf(zip_derived_cl10, plain, ( (rel_str @ sk_)),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl9, plain, ( (transitive_relstr @ sk_)),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl8, plain, (~ (empty_carrier @ sk_)),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl174, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('demod', [status(thm)],
% 12.41/2.48 [zip_derived_cl173, zip_derived_cl10, zip_derived_cl9,
% 12.41/2.48 zip_derived_cl8])).
% 12.41/2.48 thf(zip_derived_cl1, plain,
% 12.41/2.48 (![X0 : $i]: (((sk__4 @ X0) = (sk__3 @ X0)) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl55, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 @ X4)
% 12.41/2.48 | (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_10])).
% 12.41/2.48 thf(zip_derived_cl174, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('demod', [status(thm)],
% 12.41/2.48 [zip_derived_cl173, zip_derived_cl10, zip_derived_cl9,
% 12.41/2.48 zip_derived_cl8])).
% 12.41/2.48 thf(zip_derived_cl175, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl174])).
% 12.41/2.48 thf(zip_derived_cl68, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 (~ (in @ X0 @ X1)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ X2 @ X3 @ X4 @ X0) @ X0 @ X4 @ X3 @ X2)
% 12.41/2.48 | ~ (zip_tseitin_9 @ X0 @ X1 @ X4 @ X3 @ X2))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.41/2.48 thf(zip_derived_cl219, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl68])).
% 12.41/2.48 thf(zip_derived_cl223, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl63, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 ( (zip_tseitin_7 @ (sk__20 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 12.41/2.48 | ~ (zip_tseitin_8 @ X3 @ X2 @ X4 @ X1 @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl235, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_7 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl63])).
% 12.41/2.48 thf(zip_derived_cl61, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.41/2.48 thf(zip_derived_cl277, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl61])).
% 12.41/2.48 thf(zip_derived_cl235, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_7 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl63])).
% 12.41/2.48 thf(zip_derived_cl60, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (zip_tseitin_6 @ (sk__19 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 12.41/2.48 | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.41/2.48 thf(zip_derived_cl276, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl60])).
% 12.41/2.48 thf(zip_derived_cl62, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 ( (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3)
% 12.41/2.48 | ((X0) != (X1))
% 12.41/2.48 | ~ (zip_tseitin_6 @ X4 @ X0 @ X2 @ X3))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.41/2.48 thf(zip_derived_cl91, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 (~ (zip_tseitin_6 @ X3 @ X2 @ X1 @ X0)
% 12.41/2.48 | (zip_tseitin_7 @ X2 @ X2 @ X1 @ X0))),
% 12.41/2.48 inference('eq_res', [status(thm)], [zip_derived_cl62])).
% 12.41/2.48 thf(zip_derived_cl379, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_7 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl91])).
% 12.41/2.48 thf(zip_derived_cl399, plain,
% 12.41/2.48 (( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl379])).
% 12.41/2.48 thf(zip_derived_cl401, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl399])).
% 12.41/2.48 thf(zip_derived_cl60, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (zip_tseitin_6 @ (sk__19 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 12.41/2.48 | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.41/2.48 thf(zip_derived_cl402, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_6 @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl401, zip_derived_cl60])).
% 12.41/2.48 thf(zip_derived_cl56, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 12.41/2.48 | ~ (zip_tseitin_6 @ X2 @ X1 @ X3 @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.41/2.48 thf(zip_derived_cl457, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl56])).
% 12.41/2.48 thf(zip_derived_cl223, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl64, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 (((X1) = (X0)) | ~ (zip_tseitin_8 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl236, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl64])).
% 12.41/2.48 thf(zip_derived_cl223, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl65, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 ( (in @ X0 @ (powerset @ X1))
% 12.41/2.48 | ~ (zip_tseitin_8 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl237, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (in @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (powerset @ sk__2)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl65])).
% 12.41/2.48 thf(zip_derived_cl263, plain,
% 12.41/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl237])).
% 12.41/2.48 thf(zip_derived_cl264, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl263])).
% 12.41/2.48 thf(zip_derived_cl1, plain,
% 12.41/2.48 (![X0 : $i]: (((sk__4 @ X0) = (sk__3 @ X0)) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl277, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl61])).
% 12.41/2.48 thf(zip_derived_cl276, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl60])).
% 12.41/2.48 thf(zip_derived_cl57, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (in @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X2 @ X1 @ X3))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.41/2.48 thf(zip_derived_cl377, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (in @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 12.41/2.48 sk__1))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl57])).
% 12.41/2.48 thf(zip_derived_cl386, plain,
% 12.41/2.48 (( (in @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl377])).
% 12.41/2.48 thf(zip_derived_cl387, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (in @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl386])).
% 12.41/2.48 thf(zip_derived_cl5, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.41/2.48 (((X1) != (sk__3 @ X0))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ X1 @ X2)
% 12.41/2.48 | ~ (in @ X2 @ sk__1)
% 12.41/2.48 | ~ (element @ X2 @ (the_carrier @ sk_))
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl73, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 12.41/2.48 | ~ (in @ X1 @ sk__1)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 12.41/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 12.41/2.48 thf(zip_derived_cl389, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 12.41/2.48 | ~ (element @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (the_carrier @ sk_))
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl73])).
% 12.41/2.48 thf(zip_derived_cl277, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl61])).
% 12.41/2.48 thf(zip_derived_cl276, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl60])).
% 12.41/2.48 thf(zip_derived_cl58, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (element @ X0 @ (the_carrier @ X1))
% 12.41/2.48 | ~ (zip_tseitin_6 @ X0 @ X2 @ X3 @ X1))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.41/2.48 thf(zip_derived_cl378, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (element @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @
% 12.41/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 12.41/2.48 (the_carrier @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl58])).
% 12.41/2.48 thf(zip_derived_cl391, plain,
% 12.41/2.48 (( (element @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (the_carrier @ sk_))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl378])).
% 12.41/2.48 thf(zip_derived_cl392, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (element @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (the_carrier @ sk_)))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 12.41/2.48 thf(zip_derived_cl408, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl389, zip_derived_cl392])).
% 12.41/2.48 thf(zip_derived_cl410, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (((sk__4 @ X0) = (sk__3 @ X0))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl408])).
% 12.41/2.48 thf(zip_derived_cl429, plain,
% 12.41/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl410])).
% 12.41/2.48 thf(zip_derived_cl433, plain,
% 12.41/2.48 ((~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl429])).
% 12.41/2.48 thf(zip_derived_cl461, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl457, zip_derived_cl433])).
% 12.41/2.48 thf(zip_derived_cl2, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (relstr_set_smaller @ sk_ @ (sk__4 @ X0) @ (sk__5 @ X0))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl3, plain,
% 12.41/2.48 (![X0 : $i]: ( (in @ (sk__5 @ X0) @ sk__1) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl4, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (element @ (sk__5 @ X0) @ (the_carrier @ sk_))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl219, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl68])).
% 12.41/2.48 thf(zip_derived_cl224, plain,
% 12.41/2.48 (( (element @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (the_carrier @ sk_))
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl59, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3)
% 12.41/2.48 | ~ (element @ X0 @ (the_carrier @ X3))
% 12.41/2.48 | ~ (in @ X0 @ X2)
% 12.41/2.48 | ~ (relstr_set_smaller @ X3 @ X1 @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.41/2.48 thf(zip_derived_cl232, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 12.41/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | ~ (in @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X1)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 12.41/2.48 X1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl224, zip_derived_cl59])).
% 12.41/2.48 thf(zip_derived_cl1173, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 12.41/2.48 sk__1 @ sk_)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 12.41/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl232])).
% 12.41/2.48 thf(zip_derived_cl219, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl68])).
% 12.41/2.48 thf(zip_derived_cl1509, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 12.41/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1173, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl1511, plain,
% 12.41/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1509])).
% 12.41/2.48 thf(zip_derived_cl219, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl68])).
% 12.41/2.48 thf(zip_derived_cl1513, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl64, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 (((X1) = (X0)) | ~ (zip_tseitin_8 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl1515, plain,
% 12.41/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl64])).
% 12.41/2.48 thf(zip_derived_cl1513, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl1518, plain,
% 12.41/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl1515, zip_derived_cl1513])).
% 12.41/2.48 thf(zip_derived_cl1519, plain,
% 12.41/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1518])).
% 12.41/2.48 thf(zip_derived_cl91, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 (~ (zip_tseitin_6 @ X3 @ X2 @ X1 @ X0)
% 12.41/2.48 | (zip_tseitin_7 @ X2 @ X2 @ X1 @ X0))),
% 12.41/2.48 inference('eq_res', [status(thm)], [zip_derived_cl62])).
% 12.41/2.48 thf(zip_derived_cl1656, plain,
% 12.41/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_7 @ (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1519, zip_derived_cl91])).
% 12.41/2.48 thf(zip_derived_cl1672, plain,
% 12.41/2.48 (( (zip_tseitin_7 @ (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl1656])).
% 12.41/2.48 thf(zip_derived_cl1674, plain,
% 12.41/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_7 @ (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1672])).
% 12.41/2.48 thf(zip_derived_cl0, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (in @ (sk__3 @ X0) @ (powerset @ sk__2)) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl66, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.41/2.48 ( (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3 @ X4)
% 12.41/2.48 | ~ (in @ X0 @ (powerset @ X2))
% 12.41/2.48 | ((X0) != (X1))
% 12.41/2.48 | ~ (zip_tseitin_7 @ X5 @ X1 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl103, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 (~ (zip_tseitin_7 @ X3 @ X2 @ X1 @ X0)
% 12.41/2.48 | ~ (in @ X2 @ (powerset @ X4))
% 12.41/2.48 | (zip_tseitin_8 @ X2 @ X2 @ X4 @ X1 @ X0))),
% 12.41/2.48 inference('eq_res', [status(thm)], [zip_derived_cl66])).
% 12.41/2.48 thf(zip_derived_cl108, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.41/2.48 ( (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ X0) @ (sk__3 @ X0) @ sk__2 @ X2 @ X1)
% 12.41/2.48 | ~ (zip_tseitin_7 @ X3 @ (sk__3 @ X0) @ X2 @ X1))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 12.41/2.48 thf(zip_derived_cl1778, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1674, zip_derived_cl108])).
% 12.41/2.48 thf(zip_derived_cl1781, plain,
% 12.41/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1778])).
% 12.41/2.48 thf(zip_derived_cl219, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl68])).
% 12.41/2.48 thf(zip_derived_cl1784, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1781, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl1793, plain,
% 12.41/2.48 (( (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1784])).
% 12.41/2.48 thf(zip_derived_cl64, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 (((X1) = (X0)) | ~ (zip_tseitin_8 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl2453, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1793, zip_derived_cl64])).
% 12.41/2.48 thf(zip_derived_cl1793, plain,
% 12.41/2.48 (( (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1784])).
% 12.41/2.48 thf(zip_derived_cl2456, plain,
% 12.41/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl2453, zip_derived_cl1793])).
% 12.41/2.48 thf(zip_derived_cl2457, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl2456])).
% 12.41/2.48 thf(zip_derived_cl67, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.41/2.48 (~ (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3 @ X4)
% 12.41/2.48 | (in @ X1 @ X5)
% 12.41/2.48 | ~ (zip_tseitin_9 @ X1 @ X5 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.41/2.48 thf(zip_derived_cl2476, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl2457, zip_derived_cl67])).
% 12.41/2.48 thf(zip_derived_cl461, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl457, zip_derived_cl433])).
% 12.41/2.48 thf(zip_derived_cl2, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (relstr_set_smaller @ sk_ @ (sk__4 @ X0) @ (sk__5 @ X0))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl462, plain,
% 12.41/2.48 (( (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl2])).
% 12.41/2.48 thf(zip_derived_cl1515, plain,
% 12.41/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 12.41/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl64])).
% 12.41/2.48 thf(zip_derived_cl1513, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl65, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.41/2.48 ( (in @ X0 @ (powerset @ X1))
% 12.41/2.48 | ~ (zip_tseitin_8 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.41/2.48 thf(zip_derived_cl1516, plain,
% 12.41/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (in @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (powerset @ sk__2)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl65])).
% 12.41/2.48 thf(zip_derived_cl1619, plain,
% 12.41/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('sup+', [status(thm)], [zip_derived_cl1515, zip_derived_cl1516])).
% 12.41/2.48 thf(zip_derived_cl1620, plain,
% 12.41/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1619])).
% 12.41/2.48 thf(zip_derived_cl1513, plain,
% 12.41/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_8 @
% 12.41/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl219])).
% 12.41/2.48 thf(zip_derived_cl67, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.41/2.48 (~ (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3 @ X4)
% 12.41/2.48 | (in @ X1 @ X5)
% 12.41/2.48 | ~ (zip_tseitin_9 @ X1 @ X5 @ X2 @ X3 @ X4))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.41/2.48 thf(zip_derived_cl1517, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | ~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 12.41/2.48 sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl67])).
% 12.41/2.48 thf(zip_derived_cl3, plain,
% 12.41/2.48 (![X0 : $i]: ( (in @ (sk__5 @ X0) @ sk__1) | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl73, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 12.41/2.48 | ~ (in @ X1 @ sk__1)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 12.41/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 12.41/2.48 thf(zip_derived_cl86, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 ( (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X1) @ (sk__5 @ X0))
% 12.41/2.48 | ~ (element @ (sk__5 @ X0) @ (the_carrier @ sk_))
% 12.41/2.48 | ~ (in @ (sk__3 @ X1) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (in @ (sk__3 @ X1) @ X1))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 12.41/2.48 thf(zip_derived_cl4, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (element @ (sk__5 @ X0) @ (the_carrier @ sk_))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.41/2.48 thf(zip_derived_cl116, plain,
% 12.41/2.48 (![X0 : $i, X1 : $i]:
% 12.41/2.48 (~ (in @ (sk__3 @ X1) @ X1)
% 12.41/2.48 | ~ (in @ (sk__3 @ X1) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X1) @ (sk__5 @ X0))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl4])).
% 12.41/2.48 thf(zip_derived_cl1561, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (sk__5 @ X0))
% 12.41/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (powerset @ sk__2)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1517, zip_derived_cl116])).
% 12.41/2.48 thf(zip_derived_cl175, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 12.41/2.48 sk__1 @ sk_))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl174])).
% 12.41/2.48 thf(zip_derived_cl1612, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (sk__5 @ X0))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('clc', [status(thm)], [zip_derived_cl1561, zip_derived_cl175])).
% 12.41/2.48 thf(zip_derived_cl1639, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | ~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (sk__5 @ X0)))),
% 12.41/2.48 inference('sup-', [status(thm)], [zip_derived_cl1620, zip_derived_cl1612])).
% 12.41/2.48 thf(zip_derived_cl1652, plain,
% 12.41/2.48 (![X0 : $i]:
% 12.41/2.48 (~ (relstr_set_smaller @ sk_ @
% 12.41/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (sk__5 @ X0))
% 12.41/2.48 | (in @ (sk__3 @ X0) @ X0)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 12.41/2.48 inference('simplify', [status(thm)], [zip_derived_cl1639])).
% 12.41/2.48 thf(zip_derived_cl1680, plain,
% 12.41/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 12.41/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 12.41/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 12.41/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl462, zip_derived_cl1652])).
% 13.09/2.48 thf(zip_derived_cl1682, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl1680])).
% 13.09/2.48 thf(zip_derived_cl461, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl457, zip_derived_cl433])).
% 13.09/2.48 thf(zip_derived_cl1513, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl219])).
% 13.09/2.48 thf(zip_derived_cl63, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (zip_tseitin_7 @ (sk__20 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_8 @ X3 @ X2 @ X4 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl1514, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl61, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl1946, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl1514, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl1948, plain,
% 13.09/2.48 (( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl1946, zip_derived_cl1514])).
% 13.09/2.48 thf(zip_derived_cl1949, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl1948])).
% 13.09/2.48 thf(zip_derived_cl1954, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl1949])).
% 13.09/2.48 thf(zip_derived_cl1955, plain,
% 13.09/2.48 (( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl1954])).
% 13.09/2.48 thf(zip_derived_cl91, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (~ (zip_tseitin_6 @ X3 @ X2 @ X1 @ X0)
% 13.09/2.48 | (zip_tseitin_7 @ X2 @ X2 @ X1 @ X0))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl62])).
% 13.09/2.48 thf(zip_derived_cl2048, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl1955, zip_derived_cl91])).
% 13.09/2.48 thf(zip_derived_cl60, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (zip_tseitin_6 @ (sk__19 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl2049, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2048, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl57, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (in @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X2 @ X1 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2053, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (in @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2049, zip_derived_cl57])).
% 13.09/2.48 thf(zip_derived_cl73, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ X1 @ sk__1)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.09/2.48 thf(zip_derived_cl2057, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2053, zip_derived_cl73])).
% 13.09/2.48 thf(zip_derived_cl2049, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2048, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl58, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (element @ X0 @ (the_carrier @ X1))
% 13.09/2.48 | ~ (zip_tseitin_6 @ X0 @ X2 @ X3 @ X1))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2054, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2049, zip_derived_cl58])).
% 13.09/2.48 thf(zip_derived_cl2061, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2057, zip_derived_cl2054])).
% 13.09/2.48 thf(zip_derived_cl2073, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1682, zip_derived_cl2061])).
% 13.09/2.48 thf(zip_derived_cl2082, plain,
% 13.09/2.48 ((~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2073])).
% 13.09/2.48 thf(zip_derived_cl1620, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl1619])).
% 13.09/2.48 thf(zip_derived_cl2175, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2082, zip_derived_cl1620])).
% 13.09/2.48 thf(zip_derived_cl2049, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2048, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl56, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 13.09/2.48 | ~ (zip_tseitin_6 @ X2 @ X1 @ X3 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2052, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2049, zip_derived_cl56])).
% 13.09/2.48 thf(zip_derived_cl2176, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2175, zip_derived_cl2052])).
% 13.09/2.48 thf(zip_derived_cl58, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (element @ X0 @ (the_carrier @ X1))
% 13.09/2.48 | ~ (zip_tseitin_6 @ X0 @ X2 @ X3 @ X1))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2179, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (element @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (the_carrier @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2176, zip_derived_cl58])).
% 13.09/2.48 thf(zip_derived_cl2176, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2175, zip_derived_cl2052])).
% 13.09/2.48 thf(zip_derived_cl57, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (in @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X2 @ X1 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2178, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2176, zip_derived_cl57])).
% 13.09/2.48 thf(zip_derived_cl73, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ X1 @ sk__1)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.09/2.48 thf(zip_derived_cl2184, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (element @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2178, zip_derived_cl73])).
% 13.09/2.48 thf(zip_derived_cl2192, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2179, zip_derived_cl2184])).
% 13.09/2.48 thf(zip_derived_cl2193, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__23 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2192])).
% 13.09/2.48 thf(zip_derived_cl2559, plain,
% 13.09/2.48 ((~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2476, zip_derived_cl2193])).
% 13.09/2.48 thf(zip_derived_cl2596, plain,
% 13.09/2.48 ((~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2559])).
% 13.09/2.48 thf(zip_derived_cl461, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl457, zip_derived_cl433])).
% 13.09/2.48 thf(zip_derived_cl2176, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2175, zip_derived_cl2052])).
% 13.09/2.48 thf(zip_derived_cl56, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 13.09/2.48 | ~ (zip_tseitin_6 @ X2 @ X1 @ X3 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2177, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2176, zip_derived_cl56])).
% 13.09/2.48 thf(zip_derived_cl2232, plain,
% 13.09/2.48 (( (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl2177])).
% 13.09/2.48 thf(zip_derived_cl2233, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 13.09/2.48 thf(zip_derived_cl2645, plain,
% 13.09/2.48 ((~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2596, zip_derived_cl2233])).
% 13.09/2.48 thf(zip_derived_cl175, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl174])).
% 13.09/2.48 thf(zip_derived_cl2646, plain,
% 13.09/2.48 ((~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2645, zip_derived_cl175])).
% 13.09/2.48 thf(zip_derived_cl2457, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2456])).
% 13.09/2.48 thf(zip_derived_cl65, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (in @ X0 @ (powerset @ X1))
% 13.09/2.48 | ~ (zip_tseitin_8 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl2475, plain,
% 13.09/2.48 (( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2457, zip_derived_cl65])).
% 13.09/2.48 thf(zip_derived_cl2647, plain,
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2646, zip_derived_cl2475])).
% 13.09/2.48 thf(zip_derived_cl50, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X2 @ X0 @ X1 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_12])).
% 13.09/2.48 thf(zip_derived_cl2648, plain,
% 13.09/2.48 (((sk__22 @ sk__1 @ sk_) = (sk__23 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2647, zip_derived_cl50])).
% 13.09/2.48 thf(zip_derived_cl2652, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (zip_tseitin_5 @ (sk__24 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl2648])).
% 13.09/2.48 thf(zip_derived_cl2647, plain,
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__23 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl2646, zip_derived_cl2475])).
% 13.09/2.48 thf(zip_derived_cl2648, plain,
% 13.09/2.48 (((sk__22 @ sk__1 @ sk_) = (sk__23 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2647, zip_derived_cl50])).
% 13.09/2.48 thf(zip_derived_cl2657, plain,
% 13.09/2.48 ( (zip_tseitin_4 @ (sk__24 @ sk__1 @ sk_) @ (sk__22 @ sk__1 @ sk_) @
% 13.09/2.48 (sk__22 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl2647, zip_derived_cl2648])).
% 13.09/2.48 thf(zip_derived_cl52, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_4 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_12])).
% 13.09/2.48 thf(zip_derived_cl2661, plain,
% 13.09/2.48 (((sk__22 @ sk__1 @ sk_) = (sk__24 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2657, zip_derived_cl52])).
% 13.09/2.48 thf(zip_derived_cl54, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3 @ X4) | ((X1) != (X0)))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_10])).
% 13.09/2.48 thf(zip_derived_cl90, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (zip_tseitin_5 @ X3 @ X3 @ X2 @ X1 @ X0)),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl54])).
% 13.09/2.48 thf(zip_derived_cl2663, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl2652, zip_derived_cl2661, zip_derived_cl90])).
% 13.09/2.48 thf(zip_derived_cl68, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 (~ (in @ X0 @ X1)
% 13.09/2.48 | (zip_tseitin_8 @ (sk__21 @ X2 @ X3 @ X4 @ X0) @ X0 @ X4 @ X3 @ X2)
% 13.09/2.48 | ~ (zip_tseitin_9 @ X0 @ X1 @ X4 @ X3 @ X2))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.09/2.48 thf(zip_derived_cl2665, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2663, zip_derived_cl68])).
% 13.09/2.48 thf(zip_derived_cl2685, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl63, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (zip_tseitin_7 @ (sk__20 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_8 @ X3 @ X2 @ X4 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl2860, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2685, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl61, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl2907, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl2907, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl2860, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2685, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl60, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (zip_tseitin_6 @ (sk__19 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl2906, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl3001, plain,
% 13.09/2.48 (( (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl2907, zip_derived_cl2906])).
% 13.09/2.48 thf(zip_derived_cl3003, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl3001])).
% 13.09/2.48 thf(zip_derived_cl3078, plain,
% 13.09/2.48 (( (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl2907, zip_derived_cl3003])).
% 13.09/2.48 thf(zip_derived_cl3079, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl3078])).
% 13.09/2.48 thf(zip_derived_cl56, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 13.09/2.48 | ~ (zip_tseitin_6 @ X2 @ X1 @ X3 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl3080, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl3079, zip_derived_cl56])).
% 13.09/2.48 thf(zip_derived_cl2685, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl67, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 13.09/2.48 (~ (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3 @ X4)
% 13.09/2.48 | (in @ X1 @ X5)
% 13.09/2.48 | ~ (zip_tseitin_9 @ X1 @ X5 @ X2 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.09/2.48 thf(zip_derived_cl2863, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 13.09/2.48 sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2685, zip_derived_cl67])).
% 13.09/2.48 thf(zip_derived_cl2907, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl2906, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl57, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (in @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X2 @ X1 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2998, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (in @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 sk__1))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2906, zip_derived_cl57])).
% 13.09/2.48 thf(zip_derived_cl3007, plain,
% 13.09/2.48 (( (in @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl2907, zip_derived_cl2998])).
% 13.09/2.48 thf(zip_derived_cl3008, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (in @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl3007])).
% 13.09/2.48 thf(zip_derived_cl73, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ X1 @ sk__1)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.09/2.48 thf(zip_derived_cl3010, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl3008, zip_derived_cl73])).
% 13.09/2.48 thf(zip_derived_cl2907, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl2906, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl58, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (element @ X0 @ (the_carrier @ X1))
% 13.09/2.48 | ~ (zip_tseitin_6 @ X0 @ X2 @ X3 @ X1))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2999, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))) @
% 13.09/2.48 (the_carrier @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2906, zip_derived_cl58])).
% 13.09/2.48 thf(zip_derived_cl3012, plain,
% 13.09/2.48 (( (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl2907, zip_derived_cl2999])).
% 13.09/2.48 thf(zip_derived_cl3013, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_)))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl3012])).
% 13.09/2.48 thf(zip_derived_cl3018, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl3010, zip_derived_cl3013])).
% 13.09/2.48 thf(zip_derived_cl3023, plain,
% 13.09/2.48 ((~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2863, zip_derived_cl3018])).
% 13.09/2.48 thf(zip_derived_cl2663, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl2652, zip_derived_cl2661, zip_derived_cl90])).
% 13.09/2.48 thf(zip_derived_cl3027, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl3023, zip_derived_cl2663])).
% 13.09/2.48 thf(zip_derived_cl3028, plain,
% 13.09/2.48 ((~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl3027])).
% 13.09/2.48 thf(zip_derived_cl2685, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl64, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_8 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl2861, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2685, zip_derived_cl64])).
% 13.09/2.48 thf(zip_derived_cl2685, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl65, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (in @ X0 @ (powerset @ X1))
% 13.09/2.48 | ~ (zip_tseitin_8 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl2862, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (in @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (powerset @ sk__2)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2685, zip_derived_cl65])).
% 13.09/2.48 thf(zip_derived_cl2886, plain,
% 13.09/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl2861, zip_derived_cl2862])).
% 13.09/2.48 thf(zip_derived_cl2889, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2)))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl2886])).
% 13.09/2.48 thf(zip_derived_cl3032, plain,
% 13.09/2.48 ((((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl3028, zip_derived_cl2889])).
% 13.09/2.48 thf(zip_derived_cl3127, plain,
% 13.09/2.48 (((sk__4 @ (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl3080, zip_derived_cl3032])).
% 13.09/2.48 thf(zip_derived_cl2, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (relstr_set_smaller @ sk_ @ (sk__4 @ X0) @ (sk__5 @ X0))
% 13.09/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.09/2.48 thf(zip_derived_cl3128, plain,
% 13.09/2.48 (( (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl3127, zip_derived_cl2])).
% 13.09/2.48 thf(zip_derived_cl3, plain,
% 13.09/2.48 (![X0 : $i]: ( (in @ (sk__5 @ X0) @ sk__1) | (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.09/2.48 thf(zip_derived_cl4, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (element @ (sk__5 @ X0) @ (the_carrier @ sk_))
% 13.09/2.48 | (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.09/2.48 thf(zip_derived_cl2665, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2663, zip_derived_cl68])).
% 13.09/2.48 thf(zip_derived_cl2686, plain,
% 13.09/2.48 (( (element @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl59, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3)
% 13.09/2.48 | ~ (element @ X0 @ (the_carrier @ X3))
% 13.09/2.48 | ~ (in @ X0 @ X2)
% 13.09/2.48 | ~ (relstr_set_smaller @ X3 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl2857, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | ~ (in @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X1)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 13.09/2.48 X1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2686, zip_derived_cl59])).
% 13.09/2.48 thf(zip_derived_cl4105, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl2857])).
% 13.09/2.48 thf(zip_derived_cl2665, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2663, zip_derived_cl68])).
% 13.09/2.48 thf(zip_derived_cl4106, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ X0 @
% 13.09/2.48 (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 13.09/2.48 sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl4105, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl4107, plain,
% 13.09/2.48 (( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_))
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl3128, zip_derived_cl4106])).
% 13.09/2.48 thf(zip_derived_cl2665, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2663, zip_derived_cl68])).
% 13.09/2.48 thf(zip_derived_cl4110, plain,
% 13.09/2.48 (( (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl4107, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl63, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (zip_tseitin_7 @ (sk__20 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_8 @ X3 @ X2 @ X4 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl4111, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4110, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl61, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl4344, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4111, zip_derived_cl61])).
% 13.09/2.48 thf(zip_derived_cl4111, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @
% 13.09/2.48 (sk__20 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4110, zip_derived_cl63])).
% 13.09/2.48 thf(zip_derived_cl4346, plain,
% 13.09/2.48 (( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl4344, zip_derived_cl4111])).
% 13.09/2.48 thf(zip_derived_cl4347, plain,
% 13.09/2.48 (( (zip_tseitin_6 @ (sk__5 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl4346])).
% 13.09/2.48 thf(zip_derived_cl91, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 (~ (zip_tseitin_6 @ X3 @ X2 @ X1 @ X0)
% 13.09/2.48 | (zip_tseitin_7 @ X2 @ X2 @ X1 @ X0))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl62])).
% 13.09/2.48 thf(zip_derived_cl4348, plain,
% 13.09/2.48 ( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl4347, zip_derived_cl91])).
% 13.09/2.48 thf(zip_derived_cl108, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | (zip_tseitin_8 @ (sk__3 @ X0) @ (sk__3 @ X0) @ sk__2 @ X2 @ X1)
% 13.09/2.48 | ~ (zip_tseitin_7 @ X3 @ (sk__3 @ X0) @ X2 @ X1))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 13.09/2.48 thf(zip_derived_cl4351, plain,
% 13.09/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4348, zip_derived_cl108])).
% 13.09/2.48 thf(zip_derived_cl2665, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__21 @ sk_ @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl2663, zip_derived_cl68])).
% 13.09/2.48 thf(zip_derived_cl4426, plain,
% 13.09/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4351, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl64, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 (((X1) = (X0)) | ~ (zip_tseitin_8 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl4541, plain,
% 13.09/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | ((sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))
% 13.09/2.48 = (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4426, zip_derived_cl64])).
% 13.09/2.48 thf(zip_derived_cl4426, plain,
% 13.09/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @
% 13.09/2.48 (sk__21 @ sk_ @ sk__1 @ sk__2 @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4351, zip_derived_cl2665])).
% 13.09/2.48 thf(zip_derived_cl4546, plain,
% 13.09/2.48 (( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_))),
% 13.09/2.48 inference('sup+', [status(thm)], [zip_derived_cl4541, zip_derived_cl4426])).
% 13.09/2.48 thf(zip_derived_cl4549, plain,
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl4546])).
% 13.09/2.48 thf(zip_derived_cl67, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 13.09/2.48 (~ (zip_tseitin_8 @ X0 @ X1 @ X2 @ X3 @ X4)
% 13.09/2.48 | (in @ X1 @ X5)
% 13.09/2.48 | ~ (zip_tseitin_9 @ X1 @ X5 @ X2 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.09/2.48 thf(zip_derived_cl4555, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0 @
% 13.09/2.48 sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4549, zip_derived_cl67])).
% 13.09/2.48 thf(zip_derived_cl4348, plain,
% 13.09/2.48 ( (zip_tseitin_7 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.09/2.48 inference('clc', [status(thm)], [zip_derived_cl4347, zip_derived_cl91])).
% 13.09/2.48 thf(zip_derived_cl60, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (zip_tseitin_6 @ (sk__19 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 13.09/2.48 | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.09/2.48 thf(zip_derived_cl4349, plain,
% 13.09/2.48 ( (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4348, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl57, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (in @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X2 @ X1 @ X3))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl4353, plain,
% 13.09/2.48 ( (in @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 sk__1)),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4349, zip_derived_cl57])).
% 13.09/2.48 thf(zip_derived_cl73, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i]:
% 13.09/2.48 (~ (in @ (sk__3 @ X0) @ X0)
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (element @ X1 @ (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ X1 @ sk__1)
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @ X1))),
% 13.09/2.48 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 13.09/2.48 thf(zip_derived_cl4357, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4353, zip_derived_cl73])).
% 13.09/2.48 thf(zip_derived_cl4349, plain,
% 13.09/2.48 ( (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4348, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl58, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (element @ X0 @ (the_carrier @ X1))
% 13.09/2.48 | ~ (zip_tseitin_6 @ X0 @ X2 @ X3 @ X1))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl4354, plain,
% 13.09/2.48 ( (element @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (the_carrier @ sk_))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4349, zip_derived_cl58])).
% 13.09/2.48 thf(zip_derived_cl4358, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (~ (relstr_set_smaller @ sk_ @ (sk__3 @ X0) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (in @ (sk__3 @ X0) @ X0))),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl4357, zip_derived_cl4354])).
% 13.09/2.48 thf(zip_derived_cl4645, plain,
% 13.09/2.48 ((~ (zip_tseitin_9 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @ sk__1 @ sk_)
% 13.09/2.48 | ~ (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))
% 13.09/2.48 | ~ (relstr_set_smaller @ sk_ @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4555, zip_derived_cl4358])).
% 13.09/2.48 thf(zip_derived_cl2663, plain,
% 13.09/2.48 (![X0 : $i]:
% 13.09/2.48 (zip_tseitin_9 @ X0 @ (sk__25 @ sk__2 @ sk__1 @ sk_) @ sk__2 @
% 13.09/2.48 sk__1 @ sk_)),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl2652, zip_derived_cl2661, zip_derived_cl90])).
% 13.09/2.48 thf(zip_derived_cl4549, plain,
% 13.09/2.48 ( (zip_tseitin_8 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__2 @ sk__1 @ sk_)),
% 13.09/2.48 inference('simplify', [status(thm)], [zip_derived_cl4546])).
% 13.09/2.48 thf(zip_derived_cl65, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 13.09/2.48 ( (in @ X0 @ (powerset @ X1))
% 13.09/2.48 | ~ (zip_tseitin_8 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.09/2.48 thf(zip_derived_cl4554, plain,
% 13.09/2.48 ( (in @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ (powerset @ sk__2))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4549, zip_derived_cl65])).
% 13.09/2.48 thf(zip_derived_cl4349, plain,
% 13.09/2.48 ( (zip_tseitin_6 @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))) @
% 13.09/2.48 (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4348, zip_derived_cl60])).
% 13.09/2.48 thf(zip_derived_cl56, plain,
% 13.09/2.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.09/2.48 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 13.09/2.48 | ~ (zip_tseitin_6 @ X2 @ X1 @ X3 @ X0))),
% 13.09/2.48 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.09/2.48 thf(zip_derived_cl4352, plain,
% 13.09/2.48 ( (relstr_set_smaller @ sk_ @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_)) @
% 13.09/2.48 (sk__19 @ sk_ @ sk__1 @ (sk__3 @ (sk__25 @ sk__2 @ sk__1 @ sk_))))),
% 13.09/2.48 inference('sup-', [status(thm)], [zip_derived_cl4349, zip_derived_cl56])).
% 13.09/2.48 thf(zip_derived_cl4682, plain, ($false),
% 13.09/2.48 inference('demod', [status(thm)],
% 13.09/2.48 [zip_derived_cl4645, zip_derived_cl2663, zip_derived_cl4554,
% 13.09/2.48 zip_derived_cl4352])).
% 13.09/2.48
% 13.09/2.48 % SZS output end Refutation
% 13.09/2.48
% 13.09/2.48
% 13.09/2.48 % Terminating...
% 13.36/2.57 % Runner terminated.
% 13.36/2.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------