%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU357+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2jJMOwDcC5 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 04:54:21 PM UTC 2025
% Result : Theorem 0.43s 0.94s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SEU357+1 : TPTP v9.2.0. Released v3.3.0.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2jJMOwDcC5 true
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8042.1875MB
% 0.09/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Oct 1 16:02:38 EDT 2025
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.6.8
% 0.09/0.38 % Running in FO mode
% 0.42/0.64 % Total configuration time : 435
% 0.42/0.64 % Estimated wc time : 1092
% 0.42/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.43/0.94 % Solved by fo/fo6_bce.sh.
% 0.43/0.94 % BCE start: 38
% 0.43/0.94 % BCE eliminated: 2
% 0.43/0.94 % PE start: 36
% 0.43/0.94 logic: eq
% 0.43/0.94 % PE eliminated: 6
% 0.43/0.94 % done 135 iterations in 0.145s
% 0.43/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.94 % SZS output start Refutation
% 0.43/0.94 thf(rel_str_type, type, rel_str: $i > $o).
% 0.43/0.94 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 0.43/0.94 thf(sk__10_type, type, sk__10: $i).
% 0.43/0.94 thf(element_type, type, element: $i > $i > $o).
% 0.43/0.94 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 0.43/0.94 thf(relstr_element_smaller_type, type, relstr_element_smaller: $i > $i > $i > $o).
% 0.43/0.94 thf(sk__7_type, type, sk__7: $i).
% 0.43/0.94 thf(the_carrier_type, type, the_carrier: $i > $i).
% 0.43/0.94 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 0.43/0.94 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.43/0.94 thf(antisymmetric_relstr_type, type, antisymmetric_relstr: $i > $o).
% 0.43/0.94 thf(sk__2_type, type, sk__2: $i > $i > $i > $i).
% 0.43/0.94 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 0.43/0.94 thf(ex_inf_of_relstr_set_type, type, ex_inf_of_relstr_set: $i > $i > $o).
% 0.43/0.94 thf(sk__9_type, type, sk__9: $i > $i).
% 0.43/0.94 thf(sk__8_type, type, sk__8: $i).
% 0.43/0.94 thf(related_type, type, related: $i > $i > $i > $o).
% 0.43/0.94 thf(d8_yellow_0, axiom,
% 0.43/0.94 (![A:$i]:
% 0.43/0.94 ( ( rel_str @ A ) =>
% 0.43/0.94 ( ![B:$i]:
% 0.43/0.94 ( ( ex_inf_of_relstr_set @ A @ B ) <=>
% 0.43/0.94 ( ?[C:$i]:
% 0.43/0.94 ( ( element @ C @ ( the_carrier @ A ) ) &
% 0.43/0.94 ( relstr_element_smaller @ A @ B @ C ) &
% 0.43/0.94 ( ![D:$i]:
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ D ) =>
% 0.43/0.94 ( related @ A @ D @ C ) ) ) ) &
% 0.43/0.94 ( ![D:$i]:
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( ( ![E:$i]:
% 0.43/0.94 ( ( element @ E @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ E ) =>
% 0.43/0.94 ( related @ A @ E @ D ) ) ) ) &
% 0.43/0.94 ( relstr_element_smaller @ A @ B @ D ) ) =>
% 0.43/0.94 ( ( D ) = ( C ) ) ) ) ) ) ) ) ) ))).
% 0.43/0.94 thf(zf_stmt_0, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zf_stmt_1, axiom,
% 0.43/0.94 (![D:$i,C:$i,B:$i,A:$i]:
% 0.43/0.94 ( ( zip_tseitin_4 @ D @ C @ B @ A ) <=>
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( zip_tseitin_3 @ D @ C @ B @ A ) ) ))).
% 0.43/0.94 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zf_stmt_3, axiom,
% 0.43/0.94 (![D:$i,C:$i,B:$i,A:$i]:
% 0.43/0.94 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 0.43/0.94 ( ( zip_tseitin_2 @ D @ B @ A ) => ( ( D ) = ( C ) ) ) ))).
% 0.43/0.94 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.43/0.94 thf(zf_stmt_5, axiom,
% 0.43/0.94 (![D:$i,B:$i,A:$i]:
% 0.43/0.94 ( ( zip_tseitin_2 @ D @ B @ A ) <=>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ D ) &
% 0.43/0.94 ( ![E:$i]:
% 0.43/0.94 ( ( element @ E @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ E ) =>
% 0.43/0.94 ( related @ A @ E @ D ) ) ) ) ) ))).
% 0.43/0.94 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zf_stmt_7, axiom,
% 0.43/0.94 (![D:$i,C:$i,B:$i,A:$i]:
% 0.43/0.94 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( zip_tseitin_0 @ D @ C @ B @ A ) ) ))).
% 0.43/0.94 thf(zf_stmt_8, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 0.43/0.94 thf(zf_stmt_9, axiom,
% 0.43/0.94 (![D:$i,C:$i,B:$i,A:$i]:
% 0.43/0.94 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ D ) => ( related @ A @ D @ C ) ) ))).
% 0.43/0.94 thf(zf_stmt_10, axiom,
% 0.43/0.94 (![A:$i]:
% 0.43/0.94 ( ( rel_str @ A ) =>
% 0.43/0.94 ( ![B:$i]:
% 0.43/0.94 ( ( ex_inf_of_relstr_set @ A @ B ) <=>
% 0.43/0.94 ( ?[C:$i]:
% 0.43/0.94 ( ( ![D:$i]: ( zip_tseitin_4 @ D @ C @ B @ A ) ) &
% 0.43/0.94 ( ![D:$i]: ( zip_tseitin_1 @ D @ C @ B @ A ) ) &
% 0.43/0.94 ( relstr_element_smaller @ A @ B @ C ) &
% 0.43/0.94 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ))).
% 0.43/0.94 thf(zip_derived_cl19, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i]:
% 0.43/0.94 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.94 | (relstr_element_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 0.43/0.94 | ~ (rel_str @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.94 thf(zip_derived_cl18, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i]:
% 0.43/0.94 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.94 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 0.43/0.94 | ~ (rel_str @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.94 thf(t16_yellow_0, conjecture,
% 0.43/0.94 (![A:$i]:
% 0.43/0.94 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 0.43/0.94 ( ![B:$i]:
% 0.43/0.94 ( ( ex_inf_of_relstr_set @ A @ B ) <=>
% 0.43/0.94 ( ?[C:$i]:
% 0.43/0.94 ( ( ![D:$i]:
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ D ) =>
% 0.43/0.94 ( related @ A @ D @ C ) ) ) ) &
% 0.43/0.94 ( relstr_element_smaller @ A @ B @ C ) &
% 0.43/0.94 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ))).
% 0.43/0.94 thf(zf_stmt_11, negated_conjecture,
% 0.43/0.94 (~( ![A:$i]:
% 0.43/0.94 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 0.43/0.94 ( ![B:$i]:
% 0.43/0.94 ( ( ex_inf_of_relstr_set @ A @ B ) <=>
% 0.43/0.94 ( ?[C:$i]:
% 0.43/0.94 ( ( ![D:$i]:
% 0.43/0.94 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 0.43/0.94 ( ( relstr_element_smaller @ A @ B @ D ) =>
% 0.43/0.94 ( related @ A @ D @ C ) ) ) ) &
% 0.43/0.94 ( relstr_element_smaller @ A @ B @ C ) &
% 0.43/0.94 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ) )),
% 0.43/0.94 inference('cnf.neg', [status(esa)], [t16_yellow_0])).
% 0.43/0.94 thf(zip_derived_cl33, plain,
% 0.43/0.94 (![X0 : $i]:
% 0.43/0.94 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.94 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.94 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7))
% 0.43/0.94 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.94 thf(zip_derived_cl34, plain,
% 0.43/0.94 (![X1 : $i]:
% 0.43/0.94 (~ (element @ X1 @ (the_carrier @ sk__7))
% 0.43/0.94 | (related @ sk__7 @ X1 @ sk__10)
% 0.43/0.94 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X1)
% 0.43/0.94 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.94 thf(zip_derived_cl13, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.94 | (zip_tseitin_2 @ X0 @ X2 @ X3))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/0.94 thf(zip_derived_cl15, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.94 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/0.94 thf(zip_derived_cl234, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 ( (zip_tseitin_2 @ X3 @ X1 @ X0)
% 0.43/0.94 | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 0.43/0.94 inference('dp-resolution', [status(thm)],
% 0.43/0.94 [zip_derived_cl13, zip_derived_cl15])).
% 0.43/0.94 thf(zip_derived_cl18, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i]:
% 0.43/0.94 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.94 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 0.43/0.94 | ~ (rel_str @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.94 thf(zip_derived_cl19, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i]:
% 0.43/0.94 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.94 | (relstr_element_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 0.43/0.94 | ~ (rel_str @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.94 thf(zip_derived_cl35, plain,
% 0.43/0.94 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.94 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.94 thf(zip_derived_cl31, plain,
% 0.43/0.94 (![X0 : $i]:
% 0.43/0.94 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.94 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.94 | (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0))
% 0.43/0.94 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.94 thf(zip_derived_cl321, plain,
% 0.43/0.94 (![X0 : $i]:
% 0.43/0.94 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.94 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.94 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.94 | (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0)))),
% 0.43/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl31])).
% 0.43/0.94 thf(zip_derived_cl20, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.94 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.94 | (zip_tseitin_1 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 0.43/0.94 | ~ (rel_str @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.94 thf(zip_derived_cl3, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 (~ (element @ X0 @ (the_carrier @ X1))
% 0.43/0.94 | (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1)
% 0.43/0.94 | ~ (zip_tseitin_1 @ X0 @ X2 @ X3 @ X1))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/0.94 thf(zip_derived_cl0, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 (~ (relstr_element_smaller @ X0 @ X1 @ X2)
% 0.43/0.94 | (related @ X0 @ X2 @ X3)
% 0.43/0.94 | ~ (zip_tseitin_0 @ X2 @ X3 @ X1 @ X0))),
% 0.43/0.94 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.43/0.94 thf(zip_derived_cl229, plain,
% 0.43/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.94 (~ (zip_tseitin_1 @ X1 @ X3 @ X2 @ X0)
% 0.43/0.94 | ~ (element @ X1 @ (the_carrier @ X0))
% 0.43/0.94 | (related @ X0 @ X1 @ X3)
% 0.43/0.94 | ~ (relstr_element_smaller @ X0 @ X2 @ X1))),
% 0.43/0.94 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl3, zip_derived_cl0])).
% 0.43/0.95 thf(zip_derived_cl240, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (rel_str @ X1)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ X1 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ X1 @ X0 @ X2)
% 0.43/0.95 | (related @ X1 @ X2 @ (sk__3 @ X0 @ X1))
% 0.43/0.95 | ~ (element @ X2 @ (the_carrier @ X1)))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl20, zip_derived_cl229])).
% 0.43/0.95 thf(zip_derived_cl19, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | (relstr_element_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 0.43/0.95 | ~ (rel_str @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl18, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 0.43/0.95 | ~ (rel_str @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl32, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ X0) @ X0)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl296, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ X0) @ X0))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl32])).
% 0.43/0.95 thf(zip_derived_cl299, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ X0 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ X0 @ sk__7)) @
% 0.43/0.95 (sk__3 @ X0 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl296])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl302, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ X0 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ X0 @ sk__7)) @
% 0.43/0.95 (sk__3 @ X0 @ sk__7)))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl359, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl302])).
% 0.43/0.95 thf(zip_derived_cl360, plain,
% 0.43/0.95 ((~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl359])).
% 0.43/0.95 thf(zip_derived_cl361, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl360])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl362, plain,
% 0.43/0.95 ((~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl361, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl363, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl362, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl364, plain,
% 0.43/0.95 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (rel_str @ sk__7)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl363])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl365, plain,
% 0.43/0.95 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl366, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 0.43/0.95 | ~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (the_carrier @ sk__7)))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl365, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl367, plain,
% 0.43/0.95 ((~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (the_carrier @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl366])).
% 0.43/0.95 thf(zip_derived_cl368, plain,
% 0.43/0.95 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl367])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl33, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl297, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl33])).
% 0.43/0.95 thf(zip_derived_cl391, plain,
% 0.43/0.95 ((~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl368, zip_derived_cl297])).
% 0.43/0.95 thf(zip_derived_cl392, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl391])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl393, plain,
% 0.43/0.95 ((~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl394, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl395, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl394])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl396, plain,
% 0.43/0.95 ((~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl35, plain,
% 0.43/0.95 (( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl397, plain,
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl36, plain,
% 0.43/0.95 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl2, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | (relstr_element_smaller @ X3 @ X2 @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.43/0.95 thf(zip_derived_cl4, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/0.95 thf(zip_derived_cl231, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (relstr_element_smaller @ X0 @ X1 @ X3)
% 0.43/0.95 | (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl2, zip_derived_cl4])).
% 0.43/0.95 thf(zip_derived_cl17, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (zip_tseitin_4 @ (sk__1 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_1 @ (sk__2 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (relstr_element_smaller @ X2 @ X1 @ X0)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ X2))
% 0.43/0.95 | (ex_inf_of_relstr_set @ X2 @ X1)
% 0.43/0.95 | ~ (rel_str @ X2))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl243, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 ( (relstr_element_smaller @ X0 @ X1 @ (sk__2 @ X2 @ X1 @ X0))
% 0.43/0.95 | ~ (rel_str @ X0)
% 0.43/0.95 | (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | ~ (element @ X2 @ (the_carrier @ X0))
% 0.43/0.95 | ~ (relstr_element_smaller @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl231, zip_derived_cl17])).
% 0.43/0.95 thf(zip_derived_cl373, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ X0 @
% 0.43/0.95 (sk__2 @ sk__10 @ X0 @ sk__7))
% 0.43/0.95 | ~ (rel_str @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl243])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl376, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ X0 @
% 0.43/0.95 (sk__2 @ sk__10 @ X0 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl480, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl376])).
% 0.43/0.95 thf(zip_derived_cl481, plain,
% 0.43/0.95 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 0.43/0.95 sk__7)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl480])).
% 0.43/0.95 thf(zip_derived_cl34, plain,
% 0.43/0.95 (![X1 : $i]:
% 0.43/0.95 (~ (element @ X1 @ (the_carrier @ sk__7))
% 0.43/0.95 | (related @ sk__7 @ X1 @ sk__10)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X1)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl397, plain,
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl36, plain,
% 0.43/0.95 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl1, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (related @ X3 @ X0 @ X1))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.43/0.95 thf(zip_derived_cl4, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/0.95 thf(zip_derived_cl230, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 (~ (related @ X0 @ X3 @ X2) | (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl1, zip_derived_cl4])).
% 0.43/0.95 thf(zip_derived_cl17, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (zip_tseitin_4 @ (sk__1 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_1 @ (sk__2 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (relstr_element_smaller @ X2 @ X1 @ X0)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ X2))
% 0.43/0.95 | (ex_inf_of_relstr_set @ X2 @ X1)
% 0.43/0.95 | ~ (rel_str @ X2))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl241, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (related @ X1 @ (sk__2 @ X0 @ X2 @ X1) @ X0)
% 0.43/0.95 | ~ (rel_str @ X1)
% 0.43/0.95 | (ex_inf_of_relstr_set @ X1 @ X2)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ X1))
% 0.43/0.95 | ~ (relstr_element_smaller @ X1 @ X2 @ X0)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ X0 @ X2 @ X1) @ X0 @ X2 @ X1))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl230, zip_derived_cl17])).
% 0.43/0.95 thf(zip_derived_cl355, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__2 @ sk__10 @ X0 @ sk__7) @ sk__10)
% 0.43/0.95 | ~ (rel_str @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl241])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl358, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__2 @ sk__10 @ X0 @ sk__7) @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl355, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl442, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl358])).
% 0.43/0.95 thf(zip_derived_cl443, plain,
% 0.43/0.95 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 0.43/0.95 sk__7)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl442])).
% 0.43/0.95 thf(zip_derived_cl444, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl443])).
% 0.43/0.95 thf(zip_derived_cl445, plain,
% 0.43/0.95 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 0.43/0.95 sk__7)
% 0.43/0.95 | ~ (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl444])).
% 0.43/0.95 thf(zip_derived_cl397, plain,
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl36, plain,
% 0.43/0.95 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl5, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | (element @ X0 @ (the_carrier @ X3)))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/0.95 thf(zip_derived_cl17, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (zip_tseitin_4 @ (sk__1 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_1 @ (sk__2 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (relstr_element_smaller @ X2 @ X1 @ X0)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ X2))
% 0.43/0.95 | (ex_inf_of_relstr_set @ X2 @ X1)
% 0.43/0.95 | ~ (rel_str @ X2))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl235, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 ( (element @ (sk__2 @ X2 @ X1 @ X0) @ (the_carrier @ X0))
% 0.43/0.95 | ~ (rel_str @ X0)
% 0.43/0.95 | (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | ~ (element @ X2 @ (the_carrier @ X0))
% 0.43/0.95 | ~ (relstr_element_smaller @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl5, zip_derived_cl17])).
% 0.43/0.95 thf(zip_derived_cl333, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (element @ (sk__2 @ sk__10 @ X0 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (rel_str @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl235])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl336, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (element @ (sk__2 @ sk__10 @ X0 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 0.43/0.95 sk__7))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl428, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl336])).
% 0.43/0.95 thf(zip_derived_cl429, plain,
% 0.43/0.95 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 0.43/0.95 sk__7)
% 0.43/0.95 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.43/0.95 thf(zip_derived_cl466, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl429])).
% 0.43/0.95 thf(zip_derived_cl482, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl466])).
% 0.43/0.95 thf(zip_derived_cl484, plain,
% 0.43/0.95 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl482])).
% 0.43/0.95 thf(zip_derived_cl397, plain,
% 0.43/0.95 ( (relstr_element_smaller @ sk__7 @ sk__8 @ sk__10)),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl35])).
% 0.43/0.95 thf(zip_derived_cl36, plain,
% 0.43/0.95 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl7, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ X1))
% 0.43/0.95 | (related @ X1 @ X0 @ X2)
% 0.43/0.95 | ~ (relstr_element_smaller @ X1 @ X3 @ X0)
% 0.43/0.95 | ~ (zip_tseitin_2 @ X2 @ X3 @ X1))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.43/0.95 thf(zip_derived_cl291, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (related @ sk__7 @ sk__10 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ X1 @ sk__10)
% 0.43/0.95 | ~ (zip_tseitin_2 @ X0 @ X1 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 0.43/0.95 thf(zip_derived_cl399, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (related @ sk__7 @ sk__10 @ X0)
% 0.43/0.95 | ~ (zip_tseitin_2 @ X0 @ sk__8 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl291])).
% 0.43/0.95 thf(zip_derived_cl497, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl399])).
% 0.43/0.95 thf(zip_derived_cl498, plain,
% 0.43/0.95 (( (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 0.43/0.95 thf(zip_derived_cl36, plain,
% 0.43/0.95 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl29, plain, ( (antisymmetric_relstr @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(t25_orders_2, axiom,
% 0.43/0.95 (![A:$i]:
% 0.43/0.95 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 0.43/0.95 ( ![B:$i]:
% 0.43/0.95 ( ( element @ B @ ( the_carrier @ A ) ) =>
% 0.43/0.95 ( ![C:$i]:
% 0.43/0.95 ( ( element @ C @ ( the_carrier @ A ) ) =>
% 0.43/0.95 ( ( ( related @ A @ B @ C ) & ( related @ A @ C @ B ) ) =>
% 0.43/0.95 ( ( B ) = ( C ) ) ) ) ) ) ) ))).
% 0.43/0.95 thf(zip_derived_cl37, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ X1))
% 0.43/0.95 | ~ (related @ X1 @ X0 @ X2)
% 0.43/0.95 | ~ (related @ X1 @ X2 @ X0)
% 0.43/0.95 | ((X0) = (X2))
% 0.43/0.95 | ~ (element @ X2 @ (the_carrier @ X1))
% 0.43/0.95 | ~ (rel_str @ X1)
% 0.43/0.95 | ~ (antisymmetric_relstr @ X1))),
% 0.43/0.95 inference('cnf', [status(esa)], [t25_orders_2])).
% 0.43/0.95 thf(zip_derived_cl228, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (element @ X1 @ (the_carrier @ sk__7))
% 0.43/0.95 | ((X0) = (X1))
% 0.43/0.95 | ~ (related @ sk__7 @ X1 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ X0 @ X1)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl29, zip_derived_cl37])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl287, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (element @ X1 @ (the_carrier @ sk__7))
% 0.43/0.95 | ((X0) = (X1))
% 0.43/0.95 | ~ (related @ sk__7 @ X1 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ X0 @ X1)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl228, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl292, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ((X0) = (sk__10))
% 0.43/0.95 | ~ (related @ sk__7 @ sk__10 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ X0 @ sk__10)
% 0.43/0.95 | ~ (element @ X0 @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl287])).
% 0.43/0.95 thf(zip_derived_cl505, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 0.43/0.95 | ~ (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl498, zip_derived_cl292])).
% 0.43/0.95 thf(zip_derived_cl506, plain,
% 0.43/0.95 ((~ (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 0.43/0.95 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl505])).
% 0.43/0.95 thf(zip_derived_cl16, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | (element @ X0 @ (the_carrier @ X3)))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/0.95 thf(zip_derived_cl482, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl466])).
% 0.43/0.95 thf(zip_derived_cl483, plain,
% 0.43/0.95 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl482])).
% 0.43/0.95 thf(zip_derived_cl512, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl506, zip_derived_cl483])).
% 0.43/0.95 thf(zip_derived_cl513, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl512])).
% 0.43/0.95 thf(zip_derived_cl514, plain,
% 0.43/0.95 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 0.43/0.95 | ~ (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl513])).
% 0.43/0.95 thf(zip_derived_cl483, plain,
% 0.43/0.95 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl482])).
% 0.43/0.95 thf(zip_derived_cl515, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 0.43/0.95 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl514, zip_derived_cl483])).
% 0.43/0.95 thf(zip_derived_cl484, plain,
% 0.43/0.95 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl482])).
% 0.43/0.95 thf(zip_derived_cl6, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 ( (relstr_element_smaller @ X0 @ X1 @ X2)
% 0.43/0.95 | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.43/0.95 thf(zip_derived_cl496, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl6])).
% 0.43/0.95 thf(zip_derived_cl516, plain,
% 0.43/0.95 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl515, zip_derived_cl496])).
% 0.43/0.95 thf(zip_derived_cl482, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 0.43/0.95 sk__8 @ sk__7))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl466])).
% 0.43/0.95 thf(zip_derived_cl517, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (zip_tseitin_4 @ sk__10 @ sk__10 @ sk__8 @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl482])).
% 0.43/0.95 thf(zip_derived_cl12, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3) | ((X0) != (X1)))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/0.95 thf(zip_derived_cl15, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 0.43/0.95 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/0.95 thf(zip_derived_cl233, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.95 (((X3) != (X2)) | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl12, zip_derived_cl15])).
% 0.43/0.95 thf(zip_derived_cl285, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_4 @ X2 @ X2 @ X1 @ X0)),
% 0.43/0.95 inference('eq_res', [status(thm)], [zip_derived_cl233])).
% 0.43/0.95 thf(zip_derived_cl522, plain,
% 0.43/0.95 (( (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl285])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl531, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7)))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl523])).
% 0.43/0.95 thf(zip_derived_cl240, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.95 (~ (rel_str @ X1)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ X1 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ X1 @ X0 @ X2)
% 0.43/0.95 | (related @ X1 @ X2 @ (sk__3 @ X0 @ X1))
% 0.43/0.95 | ~ (element @ X2 @ (the_carrier @ X1)))),
% 0.43/0.95 inference('dp-resolution', [status(thm)],
% 0.43/0.95 [zip_derived_cl20, zip_derived_cl229])).
% 0.43/0.95 thf(zip_derived_cl19, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | (relstr_element_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 0.43/0.95 | ~ (rel_str @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl18, plain,
% 0.43/0.95 (![X0 : $i, X1 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ X0 @ X1)
% 0.43/0.95 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 0.43/0.95 | ~ (rel_str @ X0))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.43/0.95 thf(zip_derived_cl32, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ X0) @ X0)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl530, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ X0) @ X0))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl523])).
% 0.43/0.95 thf(zip_derived_cl537, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ X0 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ X0 @ sk__7)) @
% 0.43/0.95 (sk__3 @ X0 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl530])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl539, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (ex_inf_of_relstr_set @ sk__7 @ X0)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ X0 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ X0 @ sk__7)) @
% 0.43/0.95 (sk__3 @ X0 @ sk__7)))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl576, plain,
% 0.43/0.95 ((~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl523, zip_derived_cl539])).
% 0.43/0.95 thf(zip_derived_cl577, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl576])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl578, plain,
% 0.43/0.95 (~ (related @ sk__7 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 0.43/0.95 (sk__3 @ sk__8 @ sk__7))),
% 0.43/0.95 inference('demod', [status(thm)],
% 0.43/0.95 [zip_derived_cl577, zip_derived_cl30, zip_derived_cl523])).
% 0.43/0.95 thf(zip_derived_cl579, plain,
% 0.43/0.95 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (rel_str @ sk__7))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl578])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl580, plain,
% 0.43/0.95 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7))))),
% 0.43/0.95 inference('demod', [status(thm)],
% 0.43/0.95 [zip_derived_cl579, zip_derived_cl523, zip_derived_cl30])).
% 0.43/0.95 thf(zip_derived_cl592, plain,
% 0.43/0.95 ((~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 0.43/0.95 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @
% 0.43/0.95 (sk__9 @ (sk__3 @ sk__8 @ sk__7))))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl531, zip_derived_cl580])).
% 0.43/0.95 thf(zip_derived_cl31, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0))
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl529, plain,
% 0.43/0.95 (![X0 : $i]:
% 0.43/0.95 (~ (element @ X0 @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ X0)
% 0.43/0.95 | (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0)))),
% 0.43/0.95 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl523])).
% 0.43/0.95 thf(zip_derived_cl601, plain,
% 0.43/0.95 ((~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('clc', [status(thm)], [zip_derived_cl592, zip_derived_cl529])).
% 0.43/0.95 thf(zip_derived_cl602, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7)
% 0.43/0.95 | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8)
% 0.43/0.95 | ~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl601])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl603, plain,
% 0.43/0.95 (~ (relstr_element_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))),
% 0.43/0.95 inference('demod', [status(thm)],
% 0.43/0.95 [zip_derived_cl602, zip_derived_cl30, zip_derived_cl523])).
% 0.43/0.95 thf(zip_derived_cl605, plain,
% 0.43/0.95 ((~ (rel_str @ sk__7) | ~ (ex_inf_of_relstr_set @ sk__7 @ sk__8))),
% 0.43/0.95 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl603])).
% 0.43/0.95 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 0.43/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.43/0.95 thf(zip_derived_cl523, plain, ( (ex_inf_of_relstr_set @ sk__7 @ sk__8)),
% 0.43/0.95 inference('simplify', [status(thm)], [zip_derived_cl522])).
% 0.43/0.95 thf(zip_derived_cl606, plain, ($false),
% 0.43/0.95 inference('demod', [status(thm)],
% 0.43/0.95 [zip_derived_cl605, zip_derived_cl30, zip_derived_cl523])).
% 0.43/0.95
% 0.43/0.95 % SZS output end Refutation
% 0.43/0.95
% 0.43/0.95
% 0.43/0.95 % Terminating...
% 1.42/1.13 % Runner terminated.
% 1.42/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------