%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU401+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.nXZO2rUaCF true
% Computer : n013.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 04:54:29 PM UTC 2025
% Result : Theorem 27.44s 4.59s
% Output : Refutation 27.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU401+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.nXZO2rUaCF true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:00:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 27.44/4.59 % Solved by fo/fo3_bce.sh.
% 27.44/4.59 % BCE start: 157
% 27.44/4.59 % BCE eliminated: 17
% 27.44/4.59 % PE start: 140
% 27.44/4.59 logic: eq
% 27.44/4.59 % PE eliminated: -20
% 27.44/4.59 % done 1658 iterations in 3.780s
% 27.44/4.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.44/4.59 % SZS output start Refutation
% 27.44/4.59 thf(sk__17_type, type, sk__17: $i > $i > $i > $i > $i > $i).
% 27.44/4.59 thf(relation_rng_as_subset_type, type, relation_rng_as_subset: $i > $i > $i > $i).
% 27.44/4.59 thf(topological_space_type, type, topological_space: $i > $o).
% 27.44/4.59 thf(empty_carrier_type, type, empty_carrier: $i > $o).
% 27.44/4.59 thf(sk__23_type, type, sk__23: $i).
% 27.44/4.59 thf(the_mapping_type, type, the_mapping: $i > $i > $i).
% 27.44/4.59 thf(net_str_type, type, net_str: $i > $i > $o).
% 27.44/4.59 thf(sk__25_type, type, sk__25: $i).
% 27.44/4.59 thf(topstr_closure_type, type, topstr_closure: $i > $i > $i).
% 27.44/4.59 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(netstr_induced_subset_type, type, netstr_induced_subset: $i > $i > $i > $o).
% 27.44/4.59 thf(sk__16_type, type, sk__16: $i > $i > $i).
% 27.44/4.59 thf(sk__20_type, type, sk__20: $i > $i > $i > $i > $i).
% 27.44/4.59 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 27.44/4.59 thf(sk__18_type, type, sk__18: $i > $i > $i > $i > $i).
% 27.44/4.59 thf(in_type, type, in: $i > $i > $o).
% 27.44/4.59 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 27.44/4.59 thf(subnetstr_of_element_type, type, subnetstr_of_element: $i > $i > $i > $i).
% 27.44/4.59 thf(sk__21_type, type, sk__21: $i).
% 27.44/4.59 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(sk__19_type, type, sk__19: $i > $i > $i > $i > $i > $i).
% 27.44/4.59 thf(sk__22_type, type, sk__22: $i).
% 27.44/4.59 thf(directed_relstr_type, type, directed_relstr: $i > $o).
% 27.44/4.59 thf(transitive_relstr_type, type, transitive_relstr: $i > $o).
% 27.44/4.59 thf(element_type, type, element: $i > $i > $o).
% 27.44/4.59 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(top_str_type, type, top_str: $i > $o).
% 27.44/4.59 thf(the_carrier_type, type, the_carrier: $i > $i).
% 27.44/4.59 thf(sk__24_type, type, sk__24: $i).
% 27.44/4.59 thf(s2_xboole_0__e6_39_3__yellow19__1, conjecture,
% 27.44/4.59 (![A:$i,B:$i,C:$i]:
% 27.44/4.59 ( ( ( net_str @ B @ A ) & ( directed_relstr @ B ) &
% 27.44/4.59 ( transitive_relstr @ B ) & ( ~( empty_carrier @ B ) ) &
% 27.44/4.59 ( top_str @ A ) & ( topological_space @ A ) &
% 27.44/4.59 ( ~( empty_carrier @ A ) ) ) =>
% 27.44/4.59 ( ![D:$i,E:$i,F:$i]:
% 27.44/4.59 ( ( ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ F ) <=>
% 27.44/4.59 ( ( ?[J:$i]:
% 27.44/4.59 ( ( netstr_induced_subset @ J @ A @ B ) &
% 27.44/4.59 ( ?[K:$i]:
% 27.44/4.59 ( ( element @ K @ ( the_carrier @ B ) ) &
% 27.44/4.59 ( ( D ) = ( topstr_closure @ A @ J ) ) &
% 27.44/4.59 ( ( G ) = ( K ) ) &
% 27.44/4.59 ( ( J ) =
% 27.44/4.59 ( relation_rng_as_subset @
% 27.44/4.59 ( the_carrier @
% 27.44/4.59 ( subnetstr_of_element @ A @ B @ K ) ) @
% 27.44/4.59 ( the_carrier @ A ) @
% 27.44/4.59 ( the_mapping @
% 27.44/4.59 A @ ( subnetstr_of_element @ A @ B @ K ) ) ) ) ) ) ) ) &
% 27.44/4.59 ( in @ G @ ( the_carrier @ B ) ) ) ) ) &
% 27.44/4.59 ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ E ) <=>
% 27.44/4.59 ( ( ?[H:$i]:
% 27.44/4.59 ( ( netstr_induced_subset @ H @ A @ B ) &
% 27.44/4.59 ( ?[I:$i]:
% 27.44/4.59 ( ( element @ I @ ( the_carrier @ B ) ) &
% 27.44/4.59 ( ( D ) = ( topstr_closure @ A @ H ) ) &
% 27.44/4.59 ( ( G ) = ( I ) ) &
% 27.44/4.59 ( ( H ) =
% 27.44/4.59 ( relation_rng_as_subset @
% 27.44/4.59 ( the_carrier @
% 27.44/4.59 ( subnetstr_of_element @ A @ B @ I ) ) @
% 27.44/4.59 ( the_carrier @ A ) @
% 27.44/4.59 ( the_mapping @
% 27.44/4.59 A @ ( subnetstr_of_element @ A @ B @ I ) ) ) ) ) ) ) ) &
% 27.44/4.59 ( in @ G @ ( the_carrier @ B ) ) ) ) ) ) =>
% 27.44/4.59 ( ( E ) = ( F ) ) ) ) ))).
% 27.44/4.59 thf(zf_stmt_0, axiom,
% 27.44/4.59 (![H:$i,G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_4 @ H @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( ?[I:$i]: ( zip_tseitin_3 @ I @ H @ G @ D @ B @ A ) ) &
% 27.44/4.59 ( netstr_induced_subset @ H @ A @ B ) ) ))).
% 27.44/4.59 thf(zip_derived_cl139, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_3 @ (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zf_stmt_1, axiom,
% 27.44/4.59 (![I:$i,H:$i,G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_3 @ I @ H @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( ( H ) =
% 27.44/4.59 ( relation_rng_as_subset @
% 27.44/4.59 ( the_carrier @ ( subnetstr_of_element @ A @ B @ I ) ) @
% 27.44/4.59 ( the_carrier @ A ) @
% 27.44/4.59 ( the_mapping @ A @ ( subnetstr_of_element @ A @ B @ I ) ) ) ) &
% 27.44/4.59 ( ( G ) = ( I ) ) & ( ( D ) = ( topstr_closure @ A @ H ) ) &
% 27.44/4.59 ( element @ I @ ( the_carrier @ B ) ) ) ))).
% 27.44/4.59 thf(zip_derived_cl135, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X0 @ X2 @ X1 @ X3 @ X4 @ X5))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 27.44/4.59 thf(zip_derived_cl1222, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl135])).
% 27.44/4.59 thf(zip_derived_cl1222, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl135])).
% 27.44/4.59 thf(zip_derived_cl139, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_3 @ (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zip_derived_cl134, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X2)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X2))))
% 27.44/4.59 | ~ (zip_tseitin_3 @ X2 @ X3 @ X4 @ X5 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 27.44/4.59 thf(zip_derived_cl1221, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X4)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X0 @ X1 @
% 27.44/4.59 (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4))) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @
% 27.44/4.59 (subnetstr_of_element @ X0 @ X1 @
% 27.44/4.59 (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4))))))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl134])).
% 27.44/4.59 thf(zip_derived_cl1782, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (((X1)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X4 @ X3 @
% 27.44/4.59 (sk__19 @ X4 @ X3 @ X2 @ X0 @ X1))) @
% 27.44/4.59 (the_carrier @ X4) @
% 27.44/4.59 (the_mapping @ X4 @ (subnetstr_of_element @ X4 @ X3 @ X0))))
% 27.44/4.59 | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 @ X4)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1222, zip_derived_cl1221])).
% 27.44/4.59 thf(zip_derived_cl1784, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 @ X4)
% 27.44/4.59 | ((X1)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X4 @ X3 @
% 27.44/4.59 (sk__19 @ X4 @ X3 @ X2 @ X0 @ X1))) @
% 27.44/4.59 (the_carrier @ X4) @
% 27.44/4.59 (the_mapping @ X4 @ (subnetstr_of_element @ X4 @ X3 @ X0)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl1782])).
% 27.44/4.59 thf(zip_derived_cl2734, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X2 @ X1 @ X0)) @
% 27.44/4.59 (the_carrier @ X2) @
% 27.44/4.59 (the_mapping @ X2 @ (subnetstr_of_element @ X2 @ X1 @ X0))))
% 27.44/4.59 | ~ (zip_tseitin_4 @ X3 @ X0 @ X4 @ X1 @ X2)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X3 @ X0 @ X4 @ X1 @ X2))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1222, zip_derived_cl1784])).
% 27.44/4.59 thf(zip_derived_cl2735, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X3 @ X0 @ X4 @ X1 @ X2)
% 27.44/4.59 | ((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X2 @ X1 @ X0)) @
% 27.44/4.59 (the_carrier @ X2) @
% 27.44/4.59 (the_mapping @ X2 @ (subnetstr_of_element @ X2 @ X1 @ X0)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl2734])).
% 27.44/4.59 thf(zf_stmt_2, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_3, axiom,
% 27.44/4.59 (![G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_5 @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( in @ G @ ( the_carrier @ B ) ) &
% 27.44/4.59 ( ?[H:$i]: ( zip_tseitin_4 @ H @ G @ D @ B @ A ) ) ) ))).
% 27.44/4.59 thf(zf_stmt_4, type, zip_tseitin_4 : $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_6, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_7, axiom,
% 27.44/4.59 (![G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_2 @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( in @ G @ ( the_carrier @ B ) ) &
% 27.44/4.59 ( ?[J:$i]: ( zip_tseitin_1 @ J @ G @ D @ B @ A ) ) ) ))).
% 27.44/4.59 thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_9, axiom,
% 27.44/4.59 (![J:$i,G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_1 @ J @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( ?[K:$i]: ( zip_tseitin_0 @ K @ J @ G @ D @ B @ A ) ) &
% 27.44/4.59 ( netstr_induced_subset @ J @ A @ B ) ) ))).
% 27.44/4.59 thf(zf_stmt_10, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $i > $o).
% 27.44/4.59 thf(zf_stmt_11, axiom,
% 27.44/4.59 (![K:$i,J:$i,G:$i,D:$i,B:$i,A:$i]:
% 27.44/4.59 ( ( zip_tseitin_0 @ K @ J @ G @ D @ B @ A ) <=>
% 27.44/4.59 ( ( ( J ) =
% 27.44/4.59 ( relation_rng_as_subset @
% 27.44/4.59 ( the_carrier @ ( subnetstr_of_element @ A @ B @ K ) ) @
% 27.44/4.59 ( the_carrier @ A ) @
% 27.44/4.59 ( the_mapping @ A @ ( subnetstr_of_element @ A @ B @ K ) ) ) ) &
% 27.44/4.59 ( ( G ) = ( K ) ) & ( ( D ) = ( topstr_closure @ A @ J ) ) &
% 27.44/4.59 ( element @ K @ ( the_carrier @ B ) ) ) ))).
% 27.44/4.59 thf(zf_stmt_12, conjecture,
% 27.44/4.59 (![A:$i,B:$i,C:$i]:
% 27.44/4.59 ( ( ( ~( empty_carrier @ A ) ) & ( topological_space @ A ) &
% 27.44/4.59 ( top_str @ A ) & ( ~( empty_carrier @ B ) ) &
% 27.44/4.59 ( transitive_relstr @ B ) & ( directed_relstr @ B ) &
% 27.44/4.59 ( net_str @ B @ A ) ) =>
% 27.44/4.59 ( ![D:$i,E:$i,F:$i]:
% 27.44/4.59 ( ( ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ E ) <=> ( zip_tseitin_5 @ G @ D @ B @ A ) ) ) &
% 27.44/4.59 ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ F ) <=> ( zip_tseitin_2 @ G @ D @ B @ A ) ) ) ) =>
% 27.44/4.59 ( ( E ) = ( F ) ) ) ) ))).
% 27.44/4.59 thf(zf_stmt_13, negated_conjecture,
% 27.44/4.59 (~( ![A:$i,B:$i,C:$i]:
% 27.44/4.59 ( ( ( ~( empty_carrier @ A ) ) & ( topological_space @ A ) &
% 27.44/4.59 ( top_str @ A ) & ( ~( empty_carrier @ B ) ) &
% 27.44/4.59 ( transitive_relstr @ B ) & ( directed_relstr @ B ) &
% 27.44/4.59 ( net_str @ B @ A ) ) =>
% 27.44/4.59 ( ![D:$i,E:$i,F:$i]:
% 27.44/4.59 ( ( ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ E ) <=> ( zip_tseitin_5 @ G @ D @ B @ A ) ) ) &
% 27.44/4.59 ( ![G:$i]:
% 27.44/4.59 ( ( in @ G @ F ) <=> ( zip_tseitin_2 @ G @ D @ B @ A ) ) ) ) =>
% 27.44/4.59 ( ( E ) = ( F ) ) ) ) ) )),
% 27.44/4.59 inference('cnf.neg', [status(esa)], [zf_stmt_12])).
% 27.44/4.59 thf(zip_derived_cl152, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 ( (zip_tseitin_5 @ X0 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | ~ (in @ X0 @ sk__24))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl143, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 27.44/4.59 ( (zip_tseitin_4 @ (sk__20 @ X0 @ X1 @ X2 @ X3) @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_5 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 27.44/4.59 thf(zip_derived_cl1191, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | (zip_tseitin_4 @ (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl152, zip_derived_cl143])).
% 27.44/4.59 thf(zip_derived_cl2760, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (((sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (in @ X0 @ sk__24))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl2735, zip_derived_cl1191])).
% 27.44/4.59 thf(zip_derived_cl1191, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | (zip_tseitin_4 @ (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl152, zip_derived_cl143])).
% 27.44/4.59 thf(zip_derived_cl127, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ X4))
% 27.44/4.59 | ((X3) != (topstr_closure @ X5 @ X1))
% 27.44/4.59 | ((X2) != (X0))
% 27.44/4.59 | ((X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X5 @ X4 @ X0)) @
% 27.44/4.59 (the_carrier @ X5) @
% 27.44/4.59 (the_mapping @ X5 @ (subnetstr_of_element @ X5 @ X4 @ X0)))))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_11])).
% 27.44/4.59 thf(zip_derived_cl140, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (netstr_induced_subset @ X0 @ X1 @ X2)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X0 @ X3 @ X4 @ X2 @ X1))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zip_derived_cl130, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 27.44/4.59 | ~ (netstr_induced_subset @ X0 @ X4 @ X3)
% 27.44/4.59 | ~ (zip_tseitin_0 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl1199, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X2 @ X4 @ X3 @ X0 @ X1)
% 27.44/4.59 | ~ (zip_tseitin_0 @ X7 @ X2 @ X6 @ X5 @ X0 @ X1)
% 27.44/4.59 | (zip_tseitin_1 @ X2 @ X6 @ X5 @ X0 @ X1))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl140, zip_derived_cl130])).
% 27.44/4.59 thf(zip_derived_cl1220, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 27.44/4.59 (((X4)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X5)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X5))))
% 27.44/4.59 | ((X3) != (X5))
% 27.44/4.59 | ((X2) != (topstr_closure @ X0 @ X4))
% 27.44/4.59 | ~ (element @ X5 @ (the_carrier @ X1))
% 27.44/4.59 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X7 @ X6 @ X1 @ X0))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl127, zip_derived_cl1199])).
% 27.44/4.59 thf(zip_derived_cl1724, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | (zip_tseitin_1 @ X4 @ X6 @ X5 @ X1 @ X0)
% 27.44/4.59 | ~ (element @ X6 @ (the_carrier @ X1))
% 27.44/4.59 | ((X5) != (topstr_closure @ X0 @ X4))
% 27.44/4.59 | ((X4)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X6)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X6)))))),
% 27.44/4.59 inference('eq_res', [status(thm)], [zip_derived_cl1220])).
% 27.44/4.59 thf(zip_derived_cl1838, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | ((sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1))))
% 27.44/4.59 | ((X2)
% 27.44/4.59 != (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0)))
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | (zip_tseitin_1 @ (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X1 @
% 27.44/4.59 X2 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1191, zip_derived_cl1724])).
% 27.44/4.59 thf(zip_derived_cl133, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X0 @ X1 @ X2 @ X3)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ X2)))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_7])).
% 27.44/4.59 thf(zip_derived_cl154, plain,
% 27.44/4.59 (![X2 : $i]:
% 27.44/4.59 ( (in @ X2 @ sk__25)
% 27.44/4.59 | ~ (zip_tseitin_2 @ X2 @ sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl1181, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (zip_tseitin_1 @ X1 @ X0 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | (in @ X0 @ sk__25))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl133, zip_derived_cl154])).
% 27.44/4.59 thf(zip_derived_cl4094, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (element @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | ((sk__23)
% 27.44/4.59 != (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X1)))
% 27.44/4.59 | ((sk__20 @ sk__21 @ sk__22 @ sk__23 @ X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (in @ X1 @ sk__24)
% 27.44/4.59 | (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1838, zip_derived_cl1181])).
% 27.44/4.59 thf(zip_derived_cl1191, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | (zip_tseitin_4 @ (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl152, zip_derived_cl143])).
% 27.44/4.59 thf(zip_derived_cl139, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_3 @ (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zip_derived_cl136, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X2) = (topstr_closure @ X0 @ X1))
% 27.44/4.59 | ~ (zip_tseitin_3 @ X3 @ X1 @ X4 @ X2 @ X5 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 27.44/4.59 thf(zip_derived_cl1223, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X2) = (topstr_closure @ X0 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl136])).
% 27.44/4.59 thf(zip_derived_cl1526, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | ((sk__23)
% 27.44/4.59 = (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0))))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1191, zip_derived_cl1223])).
% 27.44/4.59 thf(zip_derived_cl5074, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (in @ X1 @ sk__24)
% 27.44/4.59 | ((sk__20 @ sk__21 @ sk__22 @ sk__23 @ X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl4094, zip_derived_cl1526])).
% 27.44/4.59 thf(zip_derived_cl5075, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (((relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0)))
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1))))
% 27.44/4.59 | ~ (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (in @ X0 @ sk__24)
% 27.44/4.59 | (in @ X1 @ sk__25)
% 27.44/4.59 | ~ (in @ X1 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl2760, zip_derived_cl5074])).
% 27.44/4.59 thf(zip_derived_cl5080, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X1 @ sk__25)
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (in @ X0 @ sk__24)
% 27.44/4.59 | ((relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0)))
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl5075])).
% 27.44/4.59 thf(zip_derived_cl5088, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('eq_res', [status(thm)], [zip_derived_cl5080])).
% 27.44/4.59 thf(zip_derived_cl1222, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl135])).
% 27.44/4.59 thf(zip_derived_cl139, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_3 @ (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zip_derived_cl137, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_3 @ X0 @ X2 @ X3 @ X4 @ X1 @ X5))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 27.44/4.59 thf(zip_derived_cl1224, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | (element @ (sk__19 @ X0 @ X1 @ X2 @ X3 @ X4) @ (the_carrier @ X1)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl139, zip_derived_cl137])).
% 27.44/4.59 thf(zip_derived_cl1523, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_4 @ X2 @ X0 @ X3 @ X1 @ X4)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X2 @ X0 @ X3 @ X1 @ X4))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1222, zip_derived_cl1224])).
% 27.44/4.59 thf(zip_derived_cl1524, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_4 @ X2 @ X0 @ X3 @ X1 @ X4)
% 27.44/4.59 | (element @ X0 @ (the_carrier @ X1)))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl1523])).
% 27.44/4.59 thf(zip_derived_cl1191, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__24)
% 27.44/4.59 | (zip_tseitin_4 @ (sk__20 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl152, zip_derived_cl143])).
% 27.44/4.59 thf(zip_derived_cl1532, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ sk__22)) | ~ (in @ X0 @ sk__24))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1524, zip_derived_cl1191])).
% 27.44/4.59 thf(zip_derived_cl5089, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (in @ X0 @ sk__24))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl5088, zip_derived_cl1532])).
% 27.44/4.59 thf(zip_derived_cl152, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 ( (zip_tseitin_5 @ X0 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | ~ (in @ X0 @ sk__24))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl142, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 27.44/4.59 ( (in @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_5 @ X0 @ X2 @ X1 @ X3))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 27.44/4.59 thf(zip_derived_cl1190, plain,
% 27.44/4.59 (![X0 : $i]: (~ (in @ X0 @ sk__24) | (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl152, zip_derived_cl142])).
% 27.44/4.59 thf(zip_derived_cl5090, plain,
% 27.44/4.59 (![X0 : $i]: (~ (in @ X0 @ sk__24) | (in @ X0 @ sk__25))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl5089, zip_derived_cl1190])).
% 27.44/4.59 thf(t2_tarski, axiom,
% 27.44/4.59 (![A:$i,B:$i]:
% 27.44/4.59 ( ( ![C:$i]: ( ( in @ C @ A ) <=> ( in @ C @ B ) ) ) => ( ( A ) = ( B ) ) ))).
% 27.44/4.59 thf(zip_derived_cl121, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (((X1) = (X0))
% 27.44/4.59 | ~ (in @ (sk__16 @ X0 @ X1) @ X0)
% 27.44/4.59 | ~ (in @ (sk__16 @ X0 @ X1) @ X1))),
% 27.44/4.59 inference('cnf', [status(esa)], [t2_tarski])).
% 27.44/4.59 thf(zip_derived_cl5096, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ (sk__16 @ sk__25 @ X0) @ sk__24)
% 27.44/4.59 | ~ (in @ (sk__16 @ sk__25 @ X0) @ X0)
% 27.44/4.59 | ((X0) = (sk__25)))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl5090, zip_derived_cl121])).
% 27.44/4.59 thf(zip_derived_cl5147, plain,
% 27.44/4.59 ((((sk__24) = (sk__25)) | ~ (in @ (sk__16 @ sk__25 @ sk__24) @ sk__24))),
% 27.44/4.59 inference('eq_fact', [status(thm)], [zip_derived_cl5096])).
% 27.44/4.59 thf(zip_derived_cl156, plain, (((sk__24) != (sk__25))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl5148, plain,
% 27.44/4.59 (~ (in @ (sk__16 @ sk__25 @ sk__24) @ sk__24)),
% 27.44/4.59 inference('simplify_reflect-', [status(thm)],
% 27.44/4.59 [zip_derived_cl5147, zip_derived_cl156])).
% 27.44/4.59 thf(zip_derived_cl128, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_0 @ (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl124, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4 @ X5))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_11])).
% 27.44/4.59 thf(zip_derived_cl1216, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl124])).
% 27.44/4.59 thf(zip_derived_cl1216, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl124])).
% 27.44/4.59 thf(zip_derived_cl128, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_0 @ (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl123, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X2)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X2))))
% 27.44/4.59 | ~ (zip_tseitin_0 @ X2 @ X3 @ X4 @ X5 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_11])).
% 27.44/4.59 thf(zip_derived_cl1215, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X4)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X0 @ X1 @
% 27.44/4.59 (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4))) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @
% 27.44/4.59 (subnetstr_of_element @ X0 @ X1 @
% 27.44/4.59 (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4))))))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl123])).
% 27.44/4.59 thf(zip_derived_cl1753, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (((X1)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X4 @ X3 @
% 27.44/4.59 (sk__17 @ X4 @ X3 @ X2 @ X0 @ X1))) @
% 27.44/4.59 (the_carrier @ X4) @
% 27.44/4.59 (the_mapping @ X4 @ (subnetstr_of_element @ X4 @ X3 @ X0))))
% 27.44/4.59 | ~ (zip_tseitin_1 @ X1 @ X0 @ X2 @ X3 @ X4)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1216, zip_derived_cl1215])).
% 27.44/4.59 thf(zip_derived_cl1755, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X1 @ X0 @ X2 @ X3 @ X4)
% 27.44/4.59 | ((X1)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @
% 27.44/4.59 (subnetstr_of_element @ X4 @ X3 @
% 27.44/4.59 (sk__17 @ X4 @ X3 @ X2 @ X0 @ X1))) @
% 27.44/4.59 (the_carrier @ X4) @
% 27.44/4.59 (the_mapping @ X4 @ (subnetstr_of_element @ X4 @ X3 @ X0)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl1753])).
% 27.44/4.59 thf(zip_derived_cl1850, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X2 @ X1 @ X0)) @
% 27.44/4.59 (the_carrier @ X2) @
% 27.44/4.59 (the_mapping @ X2 @ (subnetstr_of_element @ X2 @ X1 @ X0))))
% 27.44/4.59 | ~ (zip_tseitin_1 @ X3 @ X0 @ X4 @ X1 @ X2)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X3 @ X0 @ X4 @ X1 @ X2))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1216, zip_derived_cl1755])).
% 27.44/4.59 thf(zip_derived_cl1851, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X3 @ X0 @ X4 @ X1 @ X2)
% 27.44/4.59 | ((X3)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X2 @ X1 @ X0)) @
% 27.44/4.59 (the_carrier @ X2) @
% 27.44/4.59 (the_mapping @ X2 @ (subnetstr_of_element @ X2 @ X1 @ X0)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl1850])).
% 27.44/4.59 thf(zip_derived_cl155, plain,
% 27.44/4.59 (![X3 : $i]:
% 27.44/4.59 ( (zip_tseitin_2 @ X3 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | ~ (in @ X3 @ sk__25))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl132, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 27.44/4.59 ( (zip_tseitin_1 @ (sk__18 @ X0 @ X1 @ X2 @ X3) @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_2 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_7])).
% 27.44/4.59 thf(zip_derived_cl1183, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | (zip_tseitin_1 @ (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl155, zip_derived_cl132])).
% 27.44/4.59 thf(zip_derived_cl1863, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (((sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0)
% 27.44/4.59 = (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (in @ X0 @ sk__25))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1851, zip_derived_cl1183])).
% 27.44/4.59 thf(zip_derived_cl1183, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | (zip_tseitin_1 @ (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl155, zip_derived_cl132])).
% 27.44/4.59 thf(zip_derived_cl138, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ X4))
% 27.44/4.59 | ((X3) != (topstr_closure @ X5 @ X1))
% 27.44/4.59 | ((X2) != (X0))
% 27.44/4.59 | ((X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X5 @ X4 @ X0)) @
% 27.44/4.59 (the_carrier @ X5) @
% 27.44/4.59 (the_mapping @ X5 @ (subnetstr_of_element @ X5 @ X4 @ X0)))))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 27.44/4.59 thf(zip_derived_cl129, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (netstr_induced_subset @ X0 @ X1 @ X2)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X0 @ X3 @ X4 @ X2 @ X1))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl141, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 @ X4)
% 27.44/4.59 | ~ (netstr_induced_subset @ X0 @ X4 @ X3)
% 27.44/4.59 | ~ (zip_tseitin_3 @ X5 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.44/4.59 thf(zip_derived_cl1197, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X2 @ X4 @ X3 @ X0 @ X1)
% 27.44/4.59 | ~ (zip_tseitin_3 @ X7 @ X2 @ X6 @ X5 @ X0 @ X1)
% 27.44/4.59 | (zip_tseitin_4 @ X2 @ X6 @ X5 @ X0 @ X1))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl129, zip_derived_cl141])).
% 27.44/4.59 thf(zip_derived_cl1225, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 27.44/4.59 (((X4)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X5)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X5))))
% 27.44/4.59 | ((X3) != (X5))
% 27.44/4.59 | ((X2) != (topstr_closure @ X0 @ X4))
% 27.44/4.59 | ~ (element @ X5 @ (the_carrier @ X1))
% 27.44/4.59 | (zip_tseitin_4 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X7 @ X6 @ X1 @ X0))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl138, zip_derived_cl1197])).
% 27.44/4.59 thf(zip_derived_cl1725, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | (zip_tseitin_4 @ X4 @ X6 @ X5 @ X1 @ X0)
% 27.44/4.59 | ~ (element @ X6 @ (the_carrier @ X1))
% 27.44/4.59 | ((X5) != (topstr_closure @ X0 @ X4))
% 27.44/4.59 | ((X4)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ X0 @ X1 @ X6)) @
% 27.44/4.59 (the_carrier @ X0) @
% 27.44/4.59 (the_mapping @ X0 @ (subnetstr_of_element @ X0 @ X1 @ X6)))))),
% 27.44/4.59 inference('eq_res', [status(thm)], [zip_derived_cl1225])).
% 27.44/4.59 thf(zip_derived_cl1840, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | ((sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1))))
% 27.44/4.59 | ((X2)
% 27.44/4.59 != (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0)))
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | (zip_tseitin_4 @ (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X1 @
% 27.44/4.59 X2 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1183, zip_derived_cl1725])).
% 27.44/4.59 thf(zip_derived_cl144, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 27.44/4.59 | ~ (zip_tseitin_4 @ X4 @ X0 @ X1 @ X2 @ X3)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ X2)))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 27.44/4.59 thf(zip_derived_cl153, plain,
% 27.44/4.59 (![X1 : $i]:
% 27.44/4.59 ( (in @ X1 @ sk__24)
% 27.44/4.59 | ~ (zip_tseitin_5 @ X1 @ sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl1189, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (zip_tseitin_4 @ X1 @ X0 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | (in @ X0 @ sk__24))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl144, zip_derived_cl153])).
% 27.44/4.59 thf(zip_derived_cl4308, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (element @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | ((sk__23)
% 27.44/4.59 != (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X1)))
% 27.44/4.59 | ((sk__18 @ sk__21 @ sk__22 @ sk__23 @ X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (in @ X1 @ sk__25)
% 27.44/4.59 | (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1840, zip_derived_cl1189])).
% 27.44/4.59 thf(zip_derived_cl1183, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | (zip_tseitin_1 @ (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl155, zip_derived_cl132])).
% 27.44/4.59 thf(zip_derived_cl128, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_0 @ (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl125, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 (((X2) = (topstr_closure @ X0 @ X1))
% 27.44/4.59 | ~ (zip_tseitin_0 @ X3 @ X1 @ X4 @ X2 @ X5 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_11])).
% 27.44/4.59 thf(zip_derived_cl1217, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X2) = (topstr_closure @ X0 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl125])).
% 27.44/4.59 thf(zip_derived_cl1501, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | ((sk__23)
% 27.44/4.59 = (topstr_closure @ sk__21 @
% 27.44/4.59 (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0))))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1183, zip_derived_cl1217])).
% 27.44/4.59 thf(zip_derived_cl6799, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (in @ X1 @ sk__25)
% 27.44/4.59 | ((sk__18 @ sk__21 @ sk__22 @ sk__23 @ X1)
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0))))
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl4308, zip_derived_cl1501])).
% 27.44/4.59 thf(zip_derived_cl6800, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (((relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0)))
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1))))
% 27.44/4.59 | ~ (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (in @ X0 @ sk__25)
% 27.44/4.59 | (in @ X1 @ sk__24)
% 27.44/4.59 | ~ (in @ X1 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('sup-', [status(thm)], [zip_derived_cl1863, zip_derived_cl6799])).
% 27.44/4.59 thf(zip_derived_cl6807, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (~ (in @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X1 @ sk__24)
% 27.44/4.59 | ~ (element @ X1 @ (the_carrier @ sk__22))
% 27.44/4.59 | ~ (in @ X0 @ sk__25)
% 27.44/4.59 | ((relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X0)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X0)))
% 27.44/4.59 != (relation_rng_as_subset @
% 27.44/4.59 (the_carrier @ (subnetstr_of_element @ sk__21 @ sk__22 @ X1)) @
% 27.44/4.59 (the_carrier @ sk__21) @
% 27.44/4.59 (the_mapping @ sk__21 @
% 27.44/4.59 (subnetstr_of_element @ sk__21 @ sk__22 @ X1)))))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl6800])).
% 27.44/4.59 thf(zip_derived_cl6821, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | ~ (element @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('eq_res', [status(thm)], [zip_derived_cl6807])).
% 27.44/4.59 thf(zip_derived_cl1216, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | ((X3) = (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl124])).
% 27.44/4.59 thf(zip_derived_cl128, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (zip_tseitin_0 @ (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4) @ X4 @ X3 @ X2 @
% 27.44/4.59 X1 @ X0)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_9])).
% 27.44/4.59 thf(zip_derived_cl126, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X4 @ X1 @ X5))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_11])).
% 27.44/4.59 thf(zip_derived_cl1218, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0)
% 27.44/4.59 | (element @ (sk__17 @ X0 @ X1 @ X2 @ X3 @ X4) @ (the_carrier @ X1)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl128, zip_derived_cl126])).
% 27.44/4.59 thf(zip_derived_cl1521, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_1 @ X2 @ X0 @ X3 @ X1 @ X4)
% 27.44/4.59 | ~ (zip_tseitin_1 @ X2 @ X0 @ X3 @ X1 @ X4))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1216, zip_derived_cl1218])).
% 27.44/4.59 thf(zip_derived_cl1522, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 27.44/4.59 (~ (zip_tseitin_1 @ X2 @ X0 @ X3 @ X1 @ X4)
% 27.44/4.59 | (element @ X0 @ (the_carrier @ X1)))),
% 27.44/4.59 inference('simplify', [status(thm)], [zip_derived_cl1521])).
% 27.44/4.59 thf(zip_derived_cl1183, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ sk__25)
% 27.44/4.59 | (zip_tseitin_1 @ (sk__18 @ sk__21 @ sk__22 @ sk__23 @ X0) @ X0 @
% 27.44/4.59 sk__23 @ sk__22 @ sk__21))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl155, zip_derived_cl132])).
% 27.44/4.59 thf(zip_derived_cl1530, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 ( (element @ X0 @ (the_carrier @ sk__22)) | ~ (in @ X0 @ sk__25))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl1522, zip_derived_cl1183])).
% 27.44/4.59 thf(zip_derived_cl6822, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 (~ (in @ X0 @ (the_carrier @ sk__22))
% 27.44/4.59 | (in @ X0 @ sk__24)
% 27.44/4.59 | ~ (in @ X0 @ sk__25))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl6821, zip_derived_cl1530])).
% 27.44/4.59 thf(zip_derived_cl155, plain,
% 27.44/4.59 (![X3 : $i]:
% 27.44/4.59 ( (zip_tseitin_2 @ X3 @ sk__23 @ sk__22 @ sk__21)
% 27.44/4.59 | ~ (in @ X3 @ sk__25))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl131, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 27.44/4.59 ( (in @ X0 @ (the_carrier @ X1))
% 27.44/4.59 | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_7])).
% 27.44/4.59 thf(zip_derived_cl1182, plain,
% 27.44/4.59 (![X0 : $i]: (~ (in @ X0 @ sk__25) | (in @ X0 @ (the_carrier @ sk__22)))),
% 27.44/4.59 inference('dp-resolution', [status(thm)],
% 27.44/4.59 [zip_derived_cl155, zip_derived_cl131])).
% 27.44/4.59 thf(zip_derived_cl6823, plain,
% 27.44/4.59 (![X0 : $i]: (~ (in @ X0 @ sk__25) | (in @ X0 @ sk__24))),
% 27.44/4.59 inference('clc', [status(thm)], [zip_derived_cl6822, zip_derived_cl1182])).
% 27.44/4.59 thf(zip_derived_cl122, plain,
% 27.44/4.59 (![X0 : $i, X1 : $i]:
% 27.44/4.59 (((X1) = (X0))
% 27.44/4.59 | (in @ (sk__16 @ X0 @ X1) @ X0)
% 27.44/4.59 | (in @ (sk__16 @ X0 @ X1) @ X1))),
% 27.44/4.59 inference('cnf', [status(esa)], [t2_tarski])).
% 27.44/4.59 thf(zip_derived_cl6825, plain,
% 27.44/4.59 (![X0 : $i]:
% 27.44/4.59 ( (in @ (sk__16 @ sk__25 @ X0) @ sk__24)
% 27.44/4.59 | (in @ (sk__16 @ sk__25 @ X0) @ X0)
% 27.44/4.59 | ((X0) = (sk__25)))),
% 27.44/4.59 inference('sup+', [status(thm)], [zip_derived_cl6823, zip_derived_cl122])).
% 27.44/4.59 thf(zip_derived_cl6924, plain,
% 27.44/4.59 ((((sk__24) = (sk__25)) | (in @ (sk__16 @ sk__25 @ sk__24) @ sk__24))),
% 27.44/4.59 inference('eq_fact', [status(thm)], [zip_derived_cl6825])).
% 27.44/4.59 thf(zip_derived_cl156, plain, (((sk__24) != (sk__25))),
% 27.44/4.59 inference('cnf', [status(esa)], [zf_stmt_13])).
% 27.44/4.59 thf(zip_derived_cl6925, plain, ( (in @ (sk__16 @ sk__25 @ sk__24) @ sk__24)),
% 27.44/4.59 inference('simplify_reflect-', [status(thm)],
% 27.44/4.59 [zip_derived_cl6924, zip_derived_cl156])).
% 27.44/4.59 thf(zip_derived_cl6939, plain, ($false),
% 27.44/4.59 inference('demod', [status(thm)],
% 27.44/4.59 [zip_derived_cl5148, zip_derived_cl6925])).
% 27.44/4.59
% 27.44/4.59 % SZS output end Refutation
% 27.44/4.59
% 27.44/4.59
% 27.44/4.59 % Terminating...
% 27.97/4.69 % Runner terminated.
% 27.97/4.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------