%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU310+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.io8Kh3paHM true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:54:12 PM UTC 2025
% Result : Theorem 1.24s 0.97s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU310+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.io8Kh3paHM true
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 16:06:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.58 % Total configuration time : 435
% 0.19/0.58 % Estimated wc time : 1092
% 0.19/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.97 % Solved by fo/fo7.sh.
% 1.24/0.97 % done 384 iterations in 0.219s
% 1.24/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/0.97 % SZS output start Refutation
% 1.24/0.97 thf(element_type, type, element: $i > $i > $o).
% 1.24/0.97 thf(sk__8_type, type, sk__8: $i > $i > $i).
% 1.24/0.97 thf(sk__11_type, type, sk__11: $i > $i > $i).
% 1.24/0.97 thf(sk__type, type, sk_: $i).
% 1.24/0.97 thf(powerset_type, type, powerset: $i > $i).
% 1.24/0.97 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 1.24/0.97 thf(topological_space_type, type, topological_space: $i > $o).
% 1.24/0.97 thf(top_str_type, type, top_str: $i > $o).
% 1.24/0.97 thf(the_carrier_type, type, the_carrier: $i > $i).
% 1.24/0.97 thf(sk__1_type, type, sk__1: $i).
% 1.24/0.97 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $i > $o).
% 1.24/0.97 thf(sk__2_type, type, sk__2: $i > $i).
% 1.24/0.97 thf(cast_as_carrier_subset_type, type, cast_as_carrier_subset: $i > $i).
% 1.24/0.97 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 1.24/0.97 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 1.24/0.97 thf(sk__7_type, type, sk__7: $i > $i > $i > $i).
% 1.24/0.97 thf(in_type, type, in: $i > $i > $o).
% 1.24/0.97 thf(sk__9_type, type, sk__9: $i > $i > $i).
% 1.24/0.97 thf(set_difference_type, type, set_difference: $i > $i > $i).
% 1.24/0.97 thf(sk__10_type, type, sk__10: $i > $i > $i).
% 1.24/0.97 thf(s1_xboole_0__e2_37_1_1__pre_topc__1, conjecture,
% 1.24/0.97 (![A:$i,B:$i]:
% 1.24/0.97 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 1.24/0.97 ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) ) =>
% 1.24/0.97 ( ?[C:$i]:
% 1.24/0.97 ( ![D:$i]:
% 1.24/0.97 ( ( in @ D @ C ) <=>
% 1.24/0.97 ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) ) &
% 1.24/0.97 ( in @
% 1.24/0.97 ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ) ) ))).
% 1.24/0.97 thf(zf_stmt_0, negated_conjecture,
% 1.24/0.97 (~( ![A:$i,B:$i]:
% 1.24/0.97 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 1.24/0.97 ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) ) =>
% 1.24/0.97 ( ?[C:$i]:
% 1.24/0.97 ( ![D:$i]:
% 1.24/0.97 ( ( in @ D @ C ) <=>
% 1.24/0.97 ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) ) &
% 1.24/0.97 ( in @
% 1.24/0.97 ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ) ) ) )),
% 1.24/0.97 inference('cnf.neg', [status(esa)], [s1_xboole_0__e2_37_1_1__pre_topc__1])).
% 1.24/0.97 thf(zip_derived_cl1, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @ (sk__2 @ X0)) @
% 1.24/0.97 sk__1)
% 1.24/0.97 | (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zip_derived_cl0, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(s1_tarski__e2_37_1_1__pre_topc__1, axiom,
% 1.24/0.97 (![A:$i,B:$i]:
% 1.24/0.97 ( ( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) &
% 1.24/0.97 ( top_str @ A ) & ( topological_space @ A ) ) =>
% 1.24/0.97 ( ( ![C:$i,D:$i,E:$i]:
% 1.24/0.97 ( ( ( in @
% 1.24/0.97 ( set_difference @ ( cast_as_carrier_subset @ A ) @ E ) @ B ) &
% 1.24/0.97 ( ( C ) = ( E ) ) &
% 1.24/0.97 ( in @
% 1.24/0.97 ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) &
% 1.24/0.97 ( ( C ) = ( D ) ) ) =>
% 1.24/0.97 ( ( D ) = ( E ) ) ) ) =>
% 1.24/0.97 ( ?[C:$i]:
% 1.24/0.97 ( ![D:$i]:
% 1.24/0.97 ( ( in @ D @ C ) <=>
% 1.24/0.97 ( ?[E:$i]:
% 1.24/0.97 ( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) &
% 1.24/0.97 ( ( E ) = ( D ) ) &
% 1.24/0.97 ( in @
% 1.24/0.97 ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @
% 1.24/0.97 B ) ) ) ) ) ) ) ))).
% 1.24/0.97 thf(zf_stmt_1, axiom,
% 1.24/0.97 (![E:$i,D:$i,B:$i,A:$i]:
% 1.24/0.97 ( ( zip_tseitin_2 @ E @ D @ B @ A ) <=>
% 1.24/0.97 ( ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) &
% 1.24/0.97 ( ( E ) = ( D ) ) & ( in @ E @ ( powerset @ ( the_carrier @ A ) ) ) ) ))).
% 1.24/0.97 thf(zip_derived_cl91, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 1.24/0.97 | ~ (in @ X0 @ (powerset @ (the_carrier @ X3)))
% 1.24/0.97 | ((X0) != (X1))
% 1.24/0.97 | ~ (in @ (set_difference @ (cast_as_carrier_subset @ X3) @ X1) @ X2))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl299, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.97 (~ (in @ (set_difference @ (cast_as_carrier_subset @ X2) @ X1) @ X0)
% 1.24/0.97 | ~ (in @ X1 @ (powerset @ (the_carrier @ X2)))
% 1.24/0.97 | (zip_tseitin_2 @ X1 @ X1 @ X0 @ X2))),
% 1.24/0.97 inference('eq_res', [status(thm)], [zip_derived_cl91])).
% 1.24/0.97 thf(zip_derived_cl301, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i]:
% 1.24/0.97 ( (in @ (sk__2 @ X0) @ X0)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ X0) @ (sk__2 @ X0) @ X1 @ sk_)
% 1.24/0.97 | ~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @ (sk__2 @ X0)) @
% 1.24/0.97 X1))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl299])).
% 1.24/0.97 thf(zip_derived_cl360, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (in @ (sk__2 @ X0) @ X0)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 1.24/0.97 | (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl301])).
% 1.24/0.97 thf(zip_derived_cl361, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 1.24/0.97 | (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl360])).
% 1.24/0.97 thf(zip_derived_cl3, plain,
% 1.24/0.97 ( (element @ sk__1 @ (powerset @ (powerset @ (the_carrier @ sk_))))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 1.24/0.97 thf(zf_stmt_3, axiom,
% 1.24/0.97 (![D:$i,C:$i,B:$i,A:$i]:
% 1.24/0.97 ( ( zip_tseitin_3 @ D @ C @ B @ A ) =>
% 1.24/0.97 ( ( in @ D @ C ) <=> ( ?[E:$i]: ( zip_tseitin_2 @ E @ D @ B @ A ) ) ) ))).
% 1.24/0.97 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 1.24/0.97 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $i > $i > $i > $o).
% 1.24/0.97 thf(zf_stmt_6, axiom,
% 1.24/0.97 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 1.24/0.97 ( ( ( zip_tseitin_0 @ E @ D @ C @ B @ A ) => ( ( D ) = ( E ) ) ) =>
% 1.24/0.97 ( zip_tseitin_1 @ E @ D @ C @ B @ A ) ))).
% 1.24/0.97 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 1.24/0.97 thf(zf_stmt_8, axiom,
% 1.24/0.97 (![E:$i,D:$i,C:$i,B:$i,A:$i]:
% 1.24/0.97 ( ( zip_tseitin_0 @ E @ D @ C @ B @ A ) =>
% 1.24/0.97 ( ( ( C ) = ( D ) ) &
% 1.24/0.97 ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) &
% 1.24/0.97 ( ( C ) = ( E ) ) &
% 1.24/0.97 ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ E ) @ B ) ) ))).
% 1.24/0.97 thf(zf_stmt_9, axiom,
% 1.24/0.97 (![A:$i,B:$i]:
% 1.24/0.97 ( ( ( topological_space @ A ) & ( top_str @ A ) &
% 1.24/0.97 ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) ) =>
% 1.24/0.97 ( ( ![C:$i,D:$i,E:$i]: ( zip_tseitin_1 @ E @ D @ C @ B @ A ) ) =>
% 1.24/0.97 ( ?[C:$i]: ( ![D:$i]: ( zip_tseitin_3 @ D @ C @ B @ A ) ) ) ) ))).
% 1.24/0.97 thf(zip_derived_cl94, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.97 (~ (top_str @ X0)
% 1.24/0.97 | ~ (topological_space @ X0)
% 1.24/0.97 | ~ (element @ X1 @ (powerset @ (powerset @ (the_carrier @ X0))))
% 1.24/0.97 | (zip_tseitin_3 @ X2 @ (sk__11 @ X1 @ X0) @ X1 @ X0)
% 1.24/0.97 | ~ (zip_tseitin_1 @ (sk__10 @ X1 @ X0) @ (sk__9 @ X1 @ X0) @
% 1.24/0.97 (sk__8 @ X1 @ X0) @ X1 @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.24/0.97 thf(zip_derived_cl370, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (zip_tseitin_1 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | ~ (topological_space @ sk_)
% 1.24/0.97 | ~ (top_str @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl94])).
% 1.24/0.97 thf(zip_derived_cl4, plain, ( (topological_space @ sk_)),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zip_derived_cl5, plain, ( (top_str @ sk_)),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zip_derived_cl373, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (zip_tseitin_1 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('demod', [status(thm)],
% 1.24/0.97 [zip_derived_cl370, zip_derived_cl4, zip_derived_cl5])).
% 1.24/0.97 thf(zip_derived_cl361, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 1.24/0.97 | (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl360])).
% 1.24/0.97 thf(zip_derived_cl87, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.24/0.97 | (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.24/0.97 thf(zip_derived_cl373, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (zip_tseitin_1 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('demod', [status(thm)],
% 1.24/0.97 [zip_derived_cl370, zip_derived_cl4, zip_derived_cl5])).
% 1.24/0.97 thf(zip_derived_cl375, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl373])).
% 1.24/0.97 thf(zip_derived_cl93, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 (~ (in @ X0 @ X1)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__7 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 1.24/0.97 | ~ (zip_tseitin_3 @ X0 @ X1 @ X3 @ X2))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/0.97 thf(zip_derived_cl376, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__7 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 1.24/0.97 | ~ (in @ X0 @ (sk__11 @ sk__1 @ sk_)))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl93])).
% 1.24/0.97 thf(zip_derived_cl377, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @
% 1.24/0.97 (sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl376])).
% 1.24/0.97 thf(zip_derived_cl89, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2 @ X3))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl388, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | ((sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)))
% 1.24/0.97 = (sk__2 @ (sk__11 @ sk__1 @ sk_))))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl377, zip_derived_cl89])).
% 1.24/0.97 thf(zip_derived_cl377, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @
% 1.24/0.97 (sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl376])).
% 1.24/0.97 thf(zip_derived_cl391, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup+', [status(thm)], [zip_derived_cl388, zip_derived_cl377])).
% 1.24/0.97 thf(zip_derived_cl392, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 1.24/0.97 thf(zip_derived_cl92, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 (~ (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 1.24/0.97 | (in @ X1 @ X4)
% 1.24/0.97 | ~ (zip_tseitin_3 @ X1 @ X4 @ X2 @ X3))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/0.97 thf(zip_derived_cl396, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | ~ (zip_tseitin_3 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 1.24/0.97 sk_)
% 1.24/0.97 | (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ X0))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl392, zip_derived_cl92])).
% 1.24/0.97 thf(zip_derived_cl2, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @ (sk__2 @ X0)) @
% 1.24/0.97 sk__1)
% 1.24/0.97 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | ~ (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zip_derived_cl410, plain,
% 1.24/0.97 ((~ (zip_tseitin_3 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | ~ (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | ~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 sk__1))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl396, zip_derived_cl2])).
% 1.24/0.97 thf(zip_derived_cl375, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl373])).
% 1.24/0.97 thf(zip_derived_cl419, plain,
% 1.24/0.97 ((~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 sk__1)
% 1.24/0.97 | ~ (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('clc', [status(thm)], [zip_derived_cl410, zip_derived_cl375])).
% 1.24/0.97 thf(zip_derived_cl392, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 1.24/0.97 thf(zip_derived_cl88, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 ( (in @ (set_difference @ (cast_as_carrier_subset @ X0) @ X1) @ X2)
% 1.24/0.97 | ~ (zip_tseitin_2 @ X3 @ X1 @ X2 @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl393, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 sk__1))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl392, zip_derived_cl88])).
% 1.24/0.97 thf(zip_derived_cl420, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | ~ (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_))))),
% 1.24/0.97 inference('clc', [status(thm)], [zip_derived_cl419, zip_derived_cl393])).
% 1.24/0.97 thf(zip_derived_cl392, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 1.24/0.97 thf(zip_derived_cl90, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 1.24/0.97 | ~ (zip_tseitin_2 @ X0 @ X2 @ X3 @ X1))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl395, plain,
% 1.24/0.97 (( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_))))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl392, zip_derived_cl90])).
% 1.24/0.97 thf(zip_derived_cl421, plain,
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 1.24/0.97 inference('clc', [status(thm)], [zip_derived_cl420, zip_derived_cl395])).
% 1.24/0.97 thf(zip_derived_cl82, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 @ X4))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.24/0.97 thf(zip_derived_cl422, plain,
% 1.24/0.97 (((sk__8 @ sk__1 @ sk_) = (sk__9 @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl82])).
% 1.24/0.97 thf(zip_derived_cl426, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (zip_tseitin_1 @ (sk__10 @ sk__1 @ sk_) @ (sk__8 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 1.24/0.97 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl422])).
% 1.24/0.97 thf(zip_derived_cl421, plain,
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__9 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 1.24/0.97 inference('clc', [status(thm)], [zip_derived_cl420, zip_derived_cl395])).
% 1.24/0.97 thf(zip_derived_cl422, plain,
% 1.24/0.97 (((sk__8 @ sk__1 @ sk_) = (sk__9 @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl82])).
% 1.24/0.97 thf(zip_derived_cl427, plain,
% 1.24/0.97 ( (zip_tseitin_0 @ (sk__10 @ sk__1 @ sk_) @ (sk__8 @ sk__1 @ sk_) @
% 1.24/0.97 (sk__8 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 1.24/0.97 inference('demod', [status(thm)], [zip_derived_cl421, zip_derived_cl422])).
% 1.24/0.97 thf(zip_derived_cl84, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.24/0.97 thf(zip_derived_cl431, plain,
% 1.24/0.97 (((sk__8 @ sk__1 @ sk_) = (sk__10 @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl427, zip_derived_cl84])).
% 1.24/0.97 thf(zip_derived_cl86, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ((X1) != (X0)))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.24/0.97 thf(zip_derived_cl287, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 (zip_tseitin_1 @ X3 @ X3 @ X2 @ X1 @ X0)),
% 1.24/0.97 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 1.24/0.97 thf(zip_derived_cl433, plain,
% 1.24/0.97 (![X0 : $i]: (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 1.24/0.97 inference('demod', [status(thm)],
% 1.24/0.97 [zip_derived_cl426, zip_derived_cl431, zip_derived_cl287])).
% 1.24/0.97 thf(zip_derived_cl93, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 (~ (in @ X0 @ X1)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__7 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 1.24/0.97 | ~ (zip_tseitin_3 @ X0 @ X1 @ X3 @ X2))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/0.97 thf(zip_derived_cl435, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__7 @ sk_ @ sk__1 @ X0) @ X0 @ sk__1 @ sk_)
% 1.24/0.97 | ~ (in @ X0 @ (sk__11 @ sk__1 @ sk_)))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl433, zip_derived_cl93])).
% 1.24/0.97 thf(zip_derived_cl436, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @
% 1.24/0.97 (sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl435])).
% 1.24/0.97 thf(zip_derived_cl89, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2 @ X3))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl443, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | ((sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)))
% 1.24/0.97 = (sk__2 @ (sk__11 @ sk__1 @ sk_))))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl89])).
% 1.24/0.97 thf(zip_derived_cl436, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @
% 1.24/0.97 (sk__7 @ sk_ @ sk__1 @ (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl435])).
% 1.24/0.97 thf(zip_derived_cl446, plain,
% 1.24/0.97 (( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 1.24/0.97 | (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_))),
% 1.24/0.97 inference('sup+', [status(thm)], [zip_derived_cl443, zip_derived_cl436])).
% 1.24/0.97 thf(zip_derived_cl447, plain,
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl446])).
% 1.24/0.97 thf(zip_derived_cl92, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/0.97 (~ (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 1.24/0.97 | (in @ X1 @ X4)
% 1.24/0.97 | ~ (zip_tseitin_3 @ X1 @ X4 @ X2 @ X3))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/0.97 thf(zip_derived_cl451, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (zip_tseitin_3 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 1.24/0.97 sk_)
% 1.24/0.97 | (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ X0))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl92])).
% 1.24/0.97 thf(zip_derived_cl2, plain,
% 1.24/0.97 (![X0 : $i]:
% 1.24/0.97 (~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @ (sk__2 @ X0)) @
% 1.24/0.97 sk__1)
% 1.24/0.97 | ~ (in @ (sk__2 @ X0) @ (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | ~ (in @ (sk__2 @ X0) @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.97 thf(zip_derived_cl466, plain,
% 1.24/0.97 ((~ (zip_tseitin_3 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 1.24/0.97 | ~ (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_)))
% 1.24/0.97 | ~ (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 sk__1))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl2])).
% 1.24/0.97 thf(zip_derived_cl433, plain,
% 1.24/0.97 (![X0 : $i]: (zip_tseitin_3 @ X0 @ (sk__11 @ sk__1 @ sk_) @ sk__1 @ sk_)),
% 1.24/0.97 inference('demod', [status(thm)],
% 1.24/0.97 [zip_derived_cl426, zip_derived_cl431, zip_derived_cl287])).
% 1.24/0.97 thf(zip_derived_cl447, plain,
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl446])).
% 1.24/0.97 thf(zip_derived_cl90, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 ( (in @ X0 @ (powerset @ (the_carrier @ X1)))
% 1.24/0.97 | ~ (zip_tseitin_2 @ X0 @ X2 @ X3 @ X1))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl450, plain,
% 1.24/0.97 ( (in @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (powerset @ (the_carrier @ sk_)))),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl90])).
% 1.24/0.97 thf(zip_derived_cl447, plain,
% 1.24/0.97 ( (zip_tseitin_2 @ (sk__2 @ (sk__11 @ sk__1 @ sk_)) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 1.24/0.97 inference('simplify', [status(thm)], [zip_derived_cl446])).
% 1.24/0.97 thf(zip_derived_cl88, plain,
% 1.24/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.97 ( (in @ (set_difference @ (cast_as_carrier_subset @ X0) @ X1) @ X2)
% 1.24/0.97 | ~ (zip_tseitin_2 @ X3 @ X1 @ X2 @ X0))),
% 1.24/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.97 thf(zip_derived_cl448, plain,
% 1.24/0.97 ( (in @
% 1.24/0.97 (set_difference @ (cast_as_carrier_subset @ sk_) @
% 1.24/0.97 (sk__2 @ (sk__11 @ sk__1 @ sk_))) @
% 1.24/0.97 sk__1)),
% 1.24/0.97 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl88])).
% 1.24/0.97 thf(zip_derived_cl468, plain, ($false),
% 1.24/0.97 inference('demod', [status(thm)],
% 1.24/0.97 [zip_derived_cl466, zip_derived_cl433, zip_derived_cl450,
% 1.24/0.97 zip_derived_cl448])).
% 1.24/0.97
% 1.24/0.97 % SZS output end Refutation
% 1.24/0.97
% 1.24/0.97
% 1.24/0.97 % Terminating...
% 1.89/1.13 % Runner terminated.
% 1.89/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------