%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU356+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.vFzkapgtN0 true
% Computer : n020.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 3.15s 2.69s
% Output : Refutation 3.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.85 % Problem : SEU356+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.92 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vFzkapgtN0 true
% 0.12/1.27 % Computer : n020.cluster.edu
% 0.12/1.27 % Model : x86_64 x86_64
% 0.12/1.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.27 % Memory : 8042.1875MB
% 0.12/1.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.27 % CPULimit : 300
% 0.12/1.27 % WCLimit : 300
% 0.12/1.27 % DateTime : Wed Oct 1 16:10:24 EDT 2025
% 0.12/1.28 % CPUTime :
% 0.12/1.28 % Running portfolio for 300 s
% 0.12/1.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/1.30 % Number of cores: 8
% 0.15/1.31 % Python version: Python 3.6.8
% 0.15/1.32 % Running in FO mode
% 0.37/1.76 % Total configuration time : 435
% 0.37/1.76 % Estimated wc time : 1092
% 0.37/1.76 % Estimated cpu time (7 cpus) : 156.0
% 0.43/2.01 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/2.03 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/2.03 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/2.04 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/2.04 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.43/2.04 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/2.04 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.15/2.69 % Solved by fo/fo13.sh.
% 3.15/2.69 % done 349 iterations in 0.501s
% 3.15/2.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.15/2.69 % SZS output start Refutation
% 3.15/2.69 thf(rel_str_type, type, rel_str: $i > $o).
% 3.15/2.69 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 3.15/2.69 thf(sk__10_type, type, sk__10: $i).
% 3.15/2.69 thf(element_type, type, element: $i > $i > $o).
% 3.15/2.69 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 3.15/2.69 thf(relstr_set_smaller_type, type, relstr_set_smaller: $i > $i > $i > $o).
% 3.15/2.69 thf(sk__7_type, type, sk__7: $i).
% 3.15/2.69 thf(the_carrier_type, type, the_carrier: $i > $i).
% 3.15/2.69 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 3.15/2.69 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 3.15/2.69 thf(antisymmetric_relstr_type, type, antisymmetric_relstr: $i > $o).
% 3.15/2.69 thf(sk__2_type, type, sk__2: $i > $i > $i > $i).
% 3.15/2.69 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 3.15/2.69 thf(ex_sup_of_relstr_set_type, type, ex_sup_of_relstr_set: $i > $i > $o).
% 3.15/2.69 thf(sk__9_type, type, sk__9: $i > $i).
% 3.15/2.69 thf(sk__8_type, type, sk__8: $i).
% 3.15/2.69 thf(related_type, type, related: $i > $i > $i > $o).
% 3.15/2.69 thf(d7_yellow_0, axiom,
% 3.15/2.69 (![A:$i]:
% 3.15/2.69 ( ( rel_str @ A ) =>
% 3.15/2.69 ( ![B:$i]:
% 3.15/2.69 ( ( ex_sup_of_relstr_set @ A @ B ) <=>
% 3.15/2.69 ( ?[C:$i]:
% 3.15/2.69 ( ( element @ C @ ( the_carrier @ A ) ) &
% 3.15/2.69 ( relstr_set_smaller @ A @ B @ C ) &
% 3.15/2.69 ( ![D:$i]:
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ D ) =>
% 3.15/2.69 ( related @ A @ C @ D ) ) ) ) &
% 3.15/2.69 ( ![D:$i]:
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( ( ![E:$i]:
% 3.15/2.69 ( ( element @ E @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ E ) =>
% 3.15/2.69 ( related @ A @ D @ E ) ) ) ) &
% 3.15/2.69 ( relstr_set_smaller @ A @ B @ D ) ) =>
% 3.15/2.69 ( ( D ) = ( C ) ) ) ) ) ) ) ) ) ))).
% 3.15/2.69 thf(zf_stmt_0, axiom,
% 3.15/2.69 (![D:$i,C:$i,B:$i,A:$i]:
% 3.15/2.69 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 3.15/2.69 ( ( zip_tseitin_2 @ D @ B @ A ) => ( ( D ) = ( C ) ) ) ))).
% 3.15/2.69 thf(zip_derived_cl13, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.69 | (zip_tseitin_2 @ X0 @ X2 @ X3))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.15/2.69 thf(zf_stmt_1, axiom,
% 3.15/2.69 (![D:$i,C:$i,B:$i,A:$i]:
% 3.15/2.69 ( ( zip_tseitin_4 @ D @ C @ B @ A ) <=>
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( zip_tseitin_3 @ D @ C @ B @ A ) ) ))).
% 3.15/2.69 thf(zip_derived_cl15, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.69 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.15/2.69 thf(zip_derived_cl49, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 ( (zip_tseitin_2 @ X3 @ X1 @ X0)
% 3.15/2.69 | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 3.15/2.69 thf(zip_derived_cl49, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 ( (zip_tseitin_2 @ X3 @ X1 @ X0)
% 3.15/2.69 | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 3.15/2.69 thf(zf_stmt_2, axiom,
% 3.15/2.69 (![D:$i,C:$i,B:$i,A:$i]:
% 3.15/2.69 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( zip_tseitin_0 @ D @ C @ B @ A ) ) ))).
% 3.15/2.69 thf(zip_derived_cl5, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.69 | (element @ X0 @ (the_carrier @ X3)))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.69 thf(t15_yellow_0, conjecture,
% 3.15/2.69 (![A:$i]:
% 3.15/2.69 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 3.15/2.69 ( ![B:$i]:
% 3.15/2.69 ( ( ex_sup_of_relstr_set @ A @ B ) <=>
% 3.15/2.69 ( ?[C:$i]:
% 3.15/2.69 ( ( ![D:$i]:
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ D ) =>
% 3.15/2.69 ( related @ A @ C @ D ) ) ) ) &
% 3.15/2.69 ( relstr_set_smaller @ A @ B @ C ) &
% 3.15/2.69 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ))).
% 3.15/2.69 thf(zf_stmt_3, negated_conjecture,
% 3.15/2.69 (~( ![A:$i]:
% 3.15/2.69 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 3.15/2.69 ( ![B:$i]:
% 3.15/2.69 ( ( ex_sup_of_relstr_set @ A @ B ) <=>
% 3.15/2.69 ( ?[C:$i]:
% 3.15/2.69 ( ( ![D:$i]:
% 3.15/2.69 ( ( element @ D @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ D ) =>
% 3.15/2.69 ( related @ A @ C @ D ) ) ) ) &
% 3.15/2.69 ( relstr_set_smaller @ A @ B @ C ) &
% 3.15/2.69 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ) )),
% 3.15/2.69 inference('cnf.neg', [status(esa)], [t15_yellow_0])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zf_stmt_4, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zf_stmt_6, type, zip_tseitin_2 : $i > $i > $i > $o).
% 3.15/2.69 thf(zf_stmt_7, axiom,
% 3.15/2.69 (![D:$i,B:$i,A:$i]:
% 3.15/2.69 ( ( zip_tseitin_2 @ D @ B @ A ) <=>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ D ) &
% 3.15/2.69 ( ![E:$i]:
% 3.15/2.69 ( ( element @ E @ ( the_carrier @ A ) ) =>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ E ) => ( related @ A @ D @ E ) ) ) ) ) ))).
% 3.15/2.69 thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zf_stmt_9, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 3.15/2.69 thf(zf_stmt_10, axiom,
% 3.15/2.69 (![D:$i,C:$i,B:$i,A:$i]:
% 3.15/2.69 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 3.15/2.69 ( ( relstr_set_smaller @ A @ B @ D ) => ( related @ A @ C @ D ) ) ))).
% 3.15/2.69 thf(zf_stmt_11, axiom,
% 3.15/2.69 (![A:$i]:
% 3.15/2.69 ( ( rel_str @ A ) =>
% 3.15/2.69 ( ![B:$i]:
% 3.15/2.69 ( ( ex_sup_of_relstr_set @ A @ B ) <=>
% 3.15/2.69 ( ?[C:$i]:
% 3.15/2.69 ( ( ![D:$i]: ( zip_tseitin_4 @ D @ C @ B @ A ) ) &
% 3.15/2.69 ( ![D:$i]: ( zip_tseitin_1 @ D @ C @ B @ A ) ) &
% 3.15/2.69 ( relstr_set_smaller @ A @ B @ C ) &
% 3.15/2.69 ( element @ C @ ( the_carrier @ A ) ) ) ) ) ) ))).
% 3.15/2.69 thf(zip_derived_cl20, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.69 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.15/2.69 | (zip_tseitin_1 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 3.15/2.69 | ~ (rel_str @ X0))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.15/2.69 thf(zip_derived_cl67, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (zip_tseitin_1 @ X0 @ (sk__3 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.69 | ~ (rel_str @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl20])).
% 3.15/2.69 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl69, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (zip_tseitin_1 @ X0 @ (sk__3 @ sk__8 @ sk__7) @ sk__8 @ sk__7))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl18, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i]:
% 3.15/2.69 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.15/2.69 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 3.15/2.69 | ~ (rel_str @ X0))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.15/2.69 thf(zip_derived_cl41, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (rel_str @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl18])).
% 3.15/2.69 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl42, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl32, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | ~ (related @ sk__7 @ X0 @ (sk__9 @ X0))
% 3.15/2.69 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl40, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | ~ (related @ sk__7 @ X0 @ (sk__9 @ X0)))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl32])).
% 3.15/2.69 thf(zip_derived_cl77, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.15/2.69 | ~ (related @ sk__7 @ (sk__3 @ sk__8 @ sk__7) @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7))))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl40])).
% 3.15/2.69 thf(zip_derived_cl80, plain,
% 3.15/2.69 ((~ (related @ sk__7 @ (sk__3 @ sk__8 @ sk__7) @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10))),
% 3.15/2.69 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl19, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i]:
% 3.15/2.69 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.15/2.69 | (relstr_set_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 3.15/2.69 | ~ (rel_str @ X0))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.15/2.69 thf(zip_derived_cl51, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.15/2.69 | ~ (rel_str @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl19])).
% 3.15/2.69 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl52, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl158, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (related @ sk__7 @ (sk__3 @ sk__8 @ sk__7) @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7))))),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl52])).
% 3.15/2.69 thf(zip_derived_cl0, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 (~ (relstr_set_smaller @ X0 @ X1 @ X2)
% 3.15/2.69 | (related @ X0 @ X3 @ X2)
% 3.15/2.69 | ~ (zip_tseitin_0 @ X2 @ X3 @ X1 @ X0))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.69 thf(zip_derived_cl159, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | ~ (zip_tseitin_0 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.15/2.69 (sk__3 @ sk__8 @ sk__7) @ X0 @ sk__7))),
% 3.15/2.69 inference('s_sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl0])).
% 3.15/2.69 thf(zip_derived_cl3, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 (~ (element @ X0 @ (the_carrier @ X1))
% 3.15/2.69 | (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1)
% 3.15/2.69 | ~ (zip_tseitin_1 @ X0 @ X2 @ X3 @ X1))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.69 thf(zip_derived_cl163, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 (~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.15/2.69 (the_carrier @ sk__7))
% 3.15/2.69 | ~ (zip_tseitin_1 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.15/2.69 (sk__3 @ sk__8 @ sk__7) @ X0 @ sk__7))),
% 3.15/2.69 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl3])).
% 3.15/2.69 thf(zip_derived_cl220, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.15/2.69 (the_carrier @ sk__7)))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl163])).
% 3.15/2.69 thf(zip_derived_cl221, plain,
% 3.15/2.69 ((~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10))),
% 3.15/2.69 inference('simplify', [status(thm)], [zip_derived_cl220])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl33, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl56, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl33])).
% 3.15/2.69 thf(zip_derived_cl226, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.15/2.69 inference('s_sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl56])).
% 3.15/2.69 thf(zip_derived_cl227, plain,
% 3.15/2.69 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10))),
% 3.15/2.69 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 3.15/2.69 thf(zip_derived_cl52, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl237, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl227, zip_derived_cl52])).
% 3.15/2.69 thf(zip_derived_cl42, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl238, plain,
% 3.15/2.69 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.69 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10))),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl42])).
% 3.15/2.69 thf(zip_derived_cl35, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl31, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0))
% 3.15/2.69 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl96, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0)))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl31])).
% 3.15/2.69 thf(zip_derived_cl241, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.15/2.69 inference('s_sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl96])).
% 3.15/2.69 thf(zip_derived_cl242, plain,
% 3.15/2.69 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10))),
% 3.15/2.69 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 3.15/2.69 thf(zip_derived_cl52, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl244, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | ~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl242, zip_derived_cl52])).
% 3.15/2.69 thf(zip_derived_cl42, plain,
% 3.15/2.69 (( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)
% 3.15/2.69 | (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl245, plain,
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl244, zip_derived_cl42])).
% 3.15/2.69 thf(zip_derived_cl36, plain,
% 3.15/2.69 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl17, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.69 (~ (zip_tseitin_4 @ (sk__1 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.15/2.69 | ~ (zip_tseitin_1 @ (sk__2 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.15/2.69 | ~ (relstr_set_smaller @ X2 @ X1 @ X0)
% 3.15/2.69 | ~ (element @ X0 @ (the_carrier @ X2))
% 3.15/2.69 | (ex_sup_of_relstr_set @ X2 @ X1)
% 3.15/2.69 | ~ (rel_str @ X2))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.15/2.69 thf(zip_derived_cl132, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.69 sk__7)
% 3.15/2.69 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.69 sk__7)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ X0 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ X0)
% 3.15/2.69 | ~ (rel_str @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl17])).
% 3.15/2.69 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl134, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.69 sk__7)
% 3.15/2.69 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ X0 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.69 sk__7)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ X0 @ sk__10)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ X0))),
% 3.15/2.69 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl30])).
% 3.15/2.69 thf(zip_derived_cl268, plain,
% 3.15/2.69 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.69 sk__8 @ sk__7)
% 3.15/2.69 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.69 sk__8 @ sk__7)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl134])).
% 3.15/2.69 thf(zip_derived_cl269, plain,
% 3.15/2.69 ((~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.69 sk__7)
% 3.15/2.69 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.69 sk__8 @ sk__7)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 3.15/2.69 thf(zip_derived_cl270, plain,
% 3.15/2.69 (( (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.69 sk__8 @ sk__7)
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl269])).
% 3.15/2.69 thf(zip_derived_cl289, plain,
% 3.15/2.69 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.69 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl270])).
% 3.15/2.69 thf(zip_derived_cl245, plain,
% 3.15/2.69 ( (relstr_set_smaller @ sk__7 @ sk__8 @ sk__10)),
% 3.15/2.69 inference('clc', [status(thm)], [zip_derived_cl244, zip_derived_cl42])).
% 3.15/2.69 thf(zip_derived_cl36, plain,
% 3.15/2.69 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 3.15/2.69 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.69 thf(zip_derived_cl7, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.69 (~ (element @ X0 @ (the_carrier @ X1))
% 3.15/2.69 | (related @ X1 @ X2 @ X0)
% 3.15/2.69 | ~ (relstr_set_smaller @ X1 @ X3 @ X0)
% 3.15/2.69 | ~ (zip_tseitin_2 @ X2 @ X3 @ X1))),
% 3.15/2.69 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.15/2.69 thf(zip_derived_cl66, plain,
% 3.15/2.69 (![X0 : $i, X1 : $i]:
% 3.15/2.69 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | (related @ sk__7 @ X0 @ sk__10)
% 3.15/2.69 | ~ (relstr_set_smaller @ sk__7 @ X1 @ sk__10)
% 3.15/2.69 | ~ (zip_tseitin_2 @ X0 @ X1 @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 3.15/2.69 thf(zip_derived_cl248, plain,
% 3.15/2.69 (![X0 : $i]:
% 3.15/2.69 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | (related @ sk__7 @ X0 @ sk__10)
% 3.15/2.69 | ~ (zip_tseitin_2 @ X0 @ sk__8 @ sk__7))),
% 3.15/2.69 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl66])).
% 3.15/2.69 thf(zip_derived_cl302, plain,
% 3.15/2.69 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.69 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 3.15/2.70 thf(zip_derived_cl303, plain,
% 3.15/2.70 (( (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl302])).
% 3.15/2.70 thf(zip_derived_cl49, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_2 @ X3 @ X1 @ X0)
% 3.15/2.70 | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 3.15/2.70 thf(zip_derived_cl289, plain,
% 3.15/2.70 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl270])).
% 3.15/2.70 thf(zip_derived_cl6, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.70 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 3.15/2.70 | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.15/2.70 thf(zip_derived_cl301, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl289, zip_derived_cl6])).
% 3.15/2.70 thf(zip_derived_cl34, plain,
% 3.15/2.70 (![X1 : $i]:
% 3.15/2.70 (~ (element @ X1 @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ X1)
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X1)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl309, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl34])).
% 3.15/2.70 thf(zip_derived_cl313, plain,
% 3.15/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl309])).
% 3.15/2.70 thf(zip_derived_cl49, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_2 @ X3 @ X1 @ X0)
% 3.15/2.70 | (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 3.15/2.70 thf(zip_derived_cl2, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | (relstr_set_smaller @ X3 @ X2 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.70 thf(zip_derived_cl4, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.70 thf(zip_derived_cl44, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (relstr_set_smaller @ X0 @ X1 @ X3)
% 3.15/2.70 | (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 3.15/2.70 thf(zip_derived_cl269, plain,
% 3.15/2.70 ((~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 3.15/2.70 thf(zip_derived_cl271, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl322, plain,
% 3.15/2.70 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl271])).
% 3.15/2.70 thf(zip_derived_cl6, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.70 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 3.15/2.70 | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.15/2.70 thf(zip_derived_cl334, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl6])).
% 3.15/2.70 thf(zip_derived_cl505, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl313, zip_derived_cl334])).
% 3.15/2.70 thf(zip_derived_cl1, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (related @ X3 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.70 thf(zip_derived_cl506, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (zip_tseitin_0 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl1])).
% 3.15/2.70 thf(zip_derived_cl4, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.70 thf(zip_derived_cl510, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl506, zip_derived_cl4])).
% 3.15/2.70 thf(zip_derived_cl269, plain,
% 3.15/2.70 ((~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 3.15/2.70 thf(zip_derived_cl511, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl510, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl512, plain,
% 3.15/2.70 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl511])).
% 3.15/2.70 thf(zip_derived_cl514, plain,
% 3.15/2.70 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl512])).
% 3.15/2.70 thf(zip_derived_cl6, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.70 ( (relstr_set_smaller @ X0 @ X1 @ X2)
% 3.15/2.70 | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.15/2.70 thf(zip_derived_cl516, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl514, zip_derived_cl6])).
% 3.15/2.70 thf(zip_derived_cl16, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | (element @ X0 @ (the_carrier @ X3)))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.15/2.70 thf(zip_derived_cl270, plain,
% 3.15/2.70 (( (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl288, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl270])).
% 3.15/2.70 thf(zip_derived_cl34, plain,
% 3.15/2.70 (![X1 : $i]:
% 3.15/2.70 (~ (element @ X1 @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ X1)
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X1)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl295, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl34])).
% 3.15/2.70 thf(zip_derived_cl299, plain,
% 3.15/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 3.15/2.70 thf(zip_derived_cl16, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | (element @ X0 @ (the_carrier @ X3)))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.15/2.70 thf(zip_derived_cl271, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl321, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl271])).
% 3.15/2.70 thf(zip_derived_cl431, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl299, zip_derived_cl321])).
% 3.15/2.70 thf(zip_derived_cl1, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (related @ X3 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.70 thf(zip_derived_cl432, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (zip_tseitin_0 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl431, zip_derived_cl1])).
% 3.15/2.70 thf(zip_derived_cl4, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.70 thf(zip_derived_cl436, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @
% 3.15/2.70 (the_carrier @ sk__7))
% 3.15/2.70 | (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl4])).
% 3.15/2.70 thf(zip_derived_cl269, plain,
% 3.15/2.70 ((~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 3.15/2.70 thf(zip_derived_cl444, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl445, plain,
% 3.15/2.70 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7)))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl444])).
% 3.15/2.70 thf(zip_derived_cl16, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | (element @ X0 @ (the_carrier @ X3)))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.15/2.70 thf(zip_derived_cl446, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl16])).
% 3.15/2.70 thf(zip_derived_cl34, plain,
% 3.15/2.70 (![X1 : $i]:
% 3.15/2.70 (~ (element @ X1 @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ X1)
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X1)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl453, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl446, zip_derived_cl34])).
% 3.15/2.70 thf(zip_derived_cl457, plain,
% 3.15/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl453])).
% 3.15/2.70 thf(zip_derived_cl519, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl457])).
% 3.15/2.70 thf(zip_derived_cl520, plain,
% 3.15/2.70 (( (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl519])).
% 3.15/2.70 thf(zip_derived_cl36, plain,
% 3.15/2.70 (( (element @ sk__10 @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl446, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl16])).
% 3.15/2.70 thf(t25_orders_2, axiom,
% 3.15/2.70 (![A:$i]:
% 3.15/2.70 ( ( ( antisymmetric_relstr @ A ) & ( rel_str @ A ) ) =>
% 3.15/2.70 ( ![B:$i]:
% 3.15/2.70 ( ( element @ B @ ( the_carrier @ A ) ) =>
% 3.15/2.70 ( ![C:$i]:
% 3.15/2.70 ( ( element @ C @ ( the_carrier @ A ) ) =>
% 3.15/2.70 ( ( ( related @ A @ B @ C ) & ( related @ A @ C @ B ) ) =>
% 3.15/2.70 ( ( B ) = ( C ) ) ) ) ) ) ) ))).
% 3.15/2.70 thf(zip_derived_cl37, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.15/2.70 (~ (element @ X0 @ (the_carrier @ X1))
% 3.15/2.70 | ~ (related @ X1 @ X0 @ X2)
% 3.15/2.70 | ~ (related @ X1 @ X2 @ X0)
% 3.15/2.70 | ((X0) = (X2))
% 3.15/2.70 | ~ (element @ X2 @ (the_carrier @ X1))
% 3.15/2.70 | ~ (rel_str @ X1)
% 3.15/2.70 | ~ (antisymmetric_relstr @ X1))),
% 3.15/2.70 inference('cnf', [status(esa)], [t25_orders_2])).
% 3.15/2.70 thf(zip_derived_cl450, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0)
% 3.15/2.70 | ~ (related @ sk__7 @ X0 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (X0))
% 3.15/2.70 | ~ (element @ X0 @ (the_carrier @ sk__7))
% 3.15/2.70 | ~ (rel_str @ sk__7)
% 3.15/2.70 | ~ (antisymmetric_relstr @ sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl446, zip_derived_cl37])).
% 3.15/2.70 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl29, plain, ( (antisymmetric_relstr @ sk__7)),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl455, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0)
% 3.15/2.70 | ~ (related @ sk__7 @ X0 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (X0))
% 3.15/2.70 | ~ (element @ X0 @ (the_carrier @ sk__7)))),
% 3.15/2.70 inference('demod', [status(thm)],
% 3.15/2.70 [zip_derived_cl450, zip_derived_cl30, zip_derived_cl29])).
% 3.15/2.70 thf(zip_derived_cl475, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | ~ (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl455])).
% 3.15/2.70 thf(zip_derived_cl479, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | ~ (related @ sk__7 @ sk__10 @ (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl475])).
% 3.15/2.70 thf(zip_derived_cl523, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | ~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl520, zip_derived_cl479])).
% 3.15/2.70 thf(zip_derived_cl525, plain,
% 3.15/2.70 ((~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl523])).
% 3.15/2.70 thf(zip_derived_cl533, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl525])).
% 3.15/2.70 thf(zip_derived_cl535, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl533])).
% 3.15/2.70 thf(zip_derived_cl34, plain,
% 3.15/2.70 (![X1 : $i]:
% 3.15/2.70 (~ (element @ X1 @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ X1)
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X1)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl544, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl34])).
% 3.15/2.70 thf(zip_derived_cl549, plain,
% 3.15/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl544])).
% 3.15/2.70 thf(zip_derived_cl322, plain,
% 3.15/2.70 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl271])).
% 3.15/2.70 thf(zip_derived_cl248, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ X0 @ sk__10)
% 3.15/2.70 | ~ (zip_tseitin_2 @ X0 @ sk__8 @ sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl66])).
% 3.15/2.70 thf(zip_derived_cl335, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl248])).
% 3.15/2.70 thf(zip_derived_cl336, plain,
% 3.15/2.70 (( (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl335])).
% 3.15/2.70 thf(zip_derived_cl525, plain,
% 3.15/2.70 ((~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl523])).
% 3.15/2.70 thf(zip_derived_cl534, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl525])).
% 3.15/2.70 thf(zip_derived_cl536, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 3.15/2.70 thf(zip_derived_cl714, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl549, zip_derived_cl536])).
% 3.15/2.70 thf(zip_derived_cl1, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (related @ X3 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.70 thf(zip_derived_cl715, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 (((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (zip_tseitin_0 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl1])).
% 3.15/2.70 thf(zip_derived_cl4, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.70 thf(zip_derived_cl719, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl715, zip_derived_cl4])).
% 3.15/2.70 thf(zip_derived_cl269, plain,
% 3.15/2.70 ((~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 3.15/2.70 thf(zip_derived_cl720, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl719, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl721, plain,
% 3.15/2.70 ((~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ sk__8 @
% 3.15/2.70 sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl720])).
% 3.15/2.70 thf(zip_derived_cl723, plain,
% 3.15/2.70 (( (zip_tseitin_2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl721])).
% 3.15/2.70 thf(zip_derived_cl248, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ X0 @ sk__10)
% 3.15/2.70 | ~ (zip_tseitin_2 @ X0 @ sk__8 @ sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl66])).
% 3.15/2.70 thf(zip_derived_cl729, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl723, zip_derived_cl248])).
% 3.15/2.70 thf(zip_derived_cl731, plain,
% 3.15/2.70 (( (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10)))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl729])).
% 3.15/2.70 thf(zip_derived_cl525, plain,
% 3.15/2.70 ((~ (related @ sk__7 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10)
% 3.15/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl523])).
% 3.15/2.70 thf(zip_derived_cl733, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl731, zip_derived_cl525])).
% 3.15/2.70 thf(zip_derived_cl270, plain,
% 3.15/2.70 (( (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl734, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ sk__10 @ sk__10 @ sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl733, zip_derived_cl270])).
% 3.15/2.70 thf(zip_derived_cl12, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3) | ((X0) != (X1)))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.15/2.70 thf(zip_derived_cl38, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_3 @ X2 @ X2 @ X1 @ X0)),
% 3.15/2.70 inference('eq_res', [status(thm)], [zip_derived_cl12])).
% 3.15/2.70 thf(zip_derived_cl15, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.15/2.70 thf(zip_derived_cl50, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_4 @ X2 @ X2 @ X1 @ X0)),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl15])).
% 3.15/2.70 thf(zip_derived_cl783, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('demod', [status(thm)], [zip_derived_cl734, zip_derived_cl50])).
% 3.15/2.70 thf(zip_derived_cl784, plain,
% 3.15/2.70 (( (element @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl783])).
% 3.15/2.70 thf(zip_derived_cl34, plain,
% 3.15/2.70 (![X1 : $i]:
% 3.15/2.70 (~ (element @ X1 @ (the_carrier @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ X1)
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X1)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.15/2.70 thf(zip_derived_cl843, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl784, zip_derived_cl34])).
% 3.15/2.70 thf(zip_derived_cl848, plain,
% 3.15/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl843])).
% 3.15/2.70 thf(zip_derived_cl733, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl731, zip_derived_cl525])).
% 3.15/2.70 thf(zip_derived_cl271, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.15/2.70 sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl269])).
% 3.15/2.70 thf(zip_derived_cl735, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | ~ (zip_tseitin_4 @ sk__10 @ sk__10 @ sk__8 @ sk__7)
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl733, zip_derived_cl271])).
% 3.15/2.70 thf(zip_derived_cl50, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_4 @ X2 @ X2 @ X1 @ X0)),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl15])).
% 3.15/2.70 thf(zip_derived_cl785, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl50])).
% 3.15/2.70 thf(zip_derived_cl786, plain,
% 3.15/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__2 @ sk__10 @ sk__8 @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('simplify', [status(thm)], [zip_derived_cl785])).
% 3.15/2.70 thf(zip_derived_cl910, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (related @ sk__7 @ sk__10 @ (sk__2 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl848, zip_derived_cl786])).
% 3.15/2.70 thf(zip_derived_cl1, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (related @ X3 @ X1 @ X0))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.15/2.70 thf(zip_derived_cl911, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (zip_tseitin_0 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl910, zip_derived_cl1])).
% 3.15/2.70 thf(zip_derived_cl4, plain,
% 3.15/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.15/2.70 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 3.15/2.70 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 3.15/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.15/2.70 thf(zip_derived_cl930, plain,
% 3.15/2.70 (![X0 : $i]:
% 3.15/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @ X0 @
% 3.15/2.70 sk__7))),
% 3.15/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl911, zip_derived_cl4])).
% 3.15/2.70 thf(zip_derived_cl733, plain,
% 3.15/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl731, zip_derived_cl525])).
% 3.15/2.70 thf(zip_derived_cl516, plain,
% 3.15/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.15/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.15/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl514, zip_derived_cl6])).
% 3.15/2.70 thf(zip_derived_cl446, plain,
% 3.15/2.70 (( (element @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.15/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.15/2.70 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl16])).
% 3.40/2.70 thf(zip_derived_cl17, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.40/2.70 (~ (zip_tseitin_4 @ (sk__1 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__2 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.40/2.70 | ~ (relstr_set_smaller @ X2 @ X1 @ X0)
% 3.40/2.70 | ~ (element @ X0 @ (the_carrier @ X2))
% 3.40/2.70 | (ex_sup_of_relstr_set @ X2 @ X1)
% 3.40/2.70 | ~ (rel_str @ X2))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.40/2.70 thf(zip_derived_cl451, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_4 @
% 3.40/2.70 (sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7)
% 3.40/2.70 | ~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7)
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ X0)
% 3.40/2.70 | ~ (rel_str @ sk__7))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl446, zip_derived_cl17])).
% 3.40/2.70 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl456, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_4 @
% 3.40/2.70 (sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7)
% 3.40/2.70 | ~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ X0 @ sk__7)
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7))
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ X0))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl610, plain,
% 3.40/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_4 @
% 3.40/2.70 (sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | ~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl456])).
% 3.40/2.70 thf(zip_derived_cl611, plain,
% 3.40/2.70 ((~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | ~ (zip_tseitin_4 @
% 3.40/2.70 (sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl610])).
% 3.40/2.70 thf(zip_derived_cl15, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.40/2.70 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.40/2.70 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.40/2.70 thf(zip_derived_cl612, plain,
% 3.40/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | ~ (zip_tseitin_3 @
% 3.40/2.70 (sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7))),
% 3.40/2.70 inference('s_sup+', [status(thm)], [zip_derived_cl611, zip_derived_cl15])).
% 3.40/2.70 thf(zip_derived_cl12, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.40/2.70 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3) | ((X0) != (X1)))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.40/2.70 thf(zip_derived_cl617, plain,
% 3.40/2.70 ((~ (zip_tseitin_1 @
% 3.40/2.70 (sk__2 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ((sk__1 @ (sk__1 @ sk__10 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 != (sk__1 @ sk__10 @ sk__8 @ sk__7)))),
% 3.40/2.70 inference('s_sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl12])).
% 3.40/2.70 thf(zip_derived_cl769, plain,
% 3.40/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.40/2.70 sk__8 @ sk__7)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ((sk__1 @ sk__10 @ sk__8 @ sk__7) != (sk__10)))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl733, zip_derived_cl617])).
% 3.40/2.70 thf(zip_derived_cl821, plain,
% 3.40/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) != (sk__10))
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.40/2.70 sk__8 @ sk__7)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl769])).
% 3.40/2.70 thf(zip_derived_cl733, plain,
% 3.40/2.70 ((((sk__1 @ sk__10 @ sk__8 @ sk__7) = (sk__10))
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('clc', [status(thm)], [zip_derived_cl731, zip_derived_cl525])).
% 3.40/2.70 thf(zip_derived_cl853, plain,
% 3.40/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__2 @ sk__10 @ sk__8 @ sk__7) @ sk__10 @
% 3.40/2.70 sk__8 @ sk__7))),
% 3.40/2.70 inference('clc', [status(thm)], [zip_derived_cl821, zip_derived_cl733])).
% 3.40/2.70 thf(zip_derived_cl935, plain,
% 3.40/2.70 (( (ex_sup_of_relstr_set @ sk__7 @ sk__8)
% 3.40/2.70 | (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl930, zip_derived_cl853])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl18, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i]:
% 3.40/2.70 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.40/2.70 | (element @ (sk__3 @ X1 @ X0) @ (the_carrier @ X0))
% 3.40/2.70 | ~ (rel_str @ X0))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.40/2.70 thf(zip_derived_cl940, plain,
% 3.40/2.70 (( (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (rel_str @ sk__7))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl18])).
% 3.40/2.70 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl946, plain,
% 3.40/2.70 ( (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl940, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl32, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | ~ (related @ sk__7 @ X0 @ (sk__9 @ X0))
% 3.40/2.70 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl938, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | ~ (related @ sk__7 @ X0 @ (sk__9 @ X0)))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl936])).
% 3.40/2.70 thf(zip_derived_cl966, plain,
% 3.40/2.70 ((~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.40/2.70 | ~ (related @ sk__7 @ (sk__3 @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7))))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl946, zip_derived_cl938])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl19, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i]:
% 3.40/2.70 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.40/2.70 | (relstr_set_smaller @ X0 @ X1 @ (sk__3 @ X1 @ X0))
% 3.40/2.70 | ~ (rel_str @ X0))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.40/2.70 thf(zip_derived_cl941, plain,
% 3.40/2.70 (( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))
% 3.40/2.70 | ~ (rel_str @ sk__7))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl19])).
% 3.40/2.70 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl947, plain,
% 3.40/2.70 ( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl968, plain,
% 3.40/2.70 (~ (related @ sk__7 @ (sk__3 @ sk__8 @ sk__7) @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl947])).
% 3.40/2.70 thf(zip_derived_cl0, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.40/2.70 (~ (relstr_set_smaller @ X0 @ X1 @ X2)
% 3.40/2.70 | (related @ X0 @ X3 @ X2)
% 3.40/2.70 | ~ (zip_tseitin_0 @ X2 @ X3 @ X1 @ X0))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.40/2.70 thf(zip_derived_cl971, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.40/2.70 | ~ (zip_tseitin_0 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.40/2.70 (sk__3 @ sk__8 @ sk__7) @ X0 @ sk__7))),
% 3.40/2.70 inference('s_sup+', [status(thm)], [zip_derived_cl968, zip_derived_cl0])).
% 3.40/2.70 thf(zip_derived_cl3, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ X1))
% 3.40/2.70 | (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1)
% 3.40/2.70 | ~ (zip_tseitin_1 @ X0 @ X2 @ X3 @ X1))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.40/2.70 thf(zip_derived_cl1001, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.40/2.70 | ~ (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.40/2.70 (the_carrier @ sk__7))
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.40/2.70 (sk__3 @ sk__8 @ sk__7) @ X0 @ sk__7))),
% 3.40/2.70 inference('s_sup+', [status(thm)], [zip_derived_cl971, zip_derived_cl3])).
% 3.40/2.70 thf(zip_derived_cl947, plain,
% 3.40/2.70 ( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl33, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl939, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | (element @ (sk__9 @ X0) @ (the_carrier @ sk__7)))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl936])).
% 3.40/2.70 thf(zip_derived_cl980, plain,
% 3.40/2.70 ((~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.40/2.70 | (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7)))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl947, zip_derived_cl939])).
% 3.40/2.70 thf(zip_derived_cl946, plain,
% 3.40/2.70 ( (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl940, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl982, plain,
% 3.40/2.70 ( (element @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @ (the_carrier @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl980, zip_derived_cl946])).
% 3.40/2.70 thf(zip_derived_cl1003, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (relstr_set_smaller @ sk__7 @ X0 @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))
% 3.40/2.70 | ~ (zip_tseitin_1 @ (sk__9 @ (sk__3 @ sk__8 @ sk__7)) @
% 3.40/2.70 (sk__3 @ sk__8 @ sk__7) @ X0 @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl1001, zip_derived_cl982])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl20, plain,
% 3.40/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.40/2.70 (~ (ex_sup_of_relstr_set @ X0 @ X1)
% 3.40/2.70 | (zip_tseitin_1 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 3.40/2.70 | ~ (rel_str @ X0))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.40/2.70 thf(zip_derived_cl942, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 ( (zip_tseitin_1 @ X0 @ (sk__3 @ sk__8 @ sk__7) @ sk__8 @ sk__7)
% 3.40/2.70 | ~ (rel_str @ sk__7))),
% 3.40/2.70 inference('s_sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl20])).
% 3.40/2.70 thf(zip_derived_cl30, plain, ( (rel_str @ sk__7)),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl948, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (zip_tseitin_1 @ X0 @ (sk__3 @ sk__8 @ sk__7) @ sk__8 @ sk__7)),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl942, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl1008, plain,
% 3.40/2.70 (~ (relstr_set_smaller @ sk__7 @ sk__8 @
% 3.40/2.70 (sk__9 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.40/2.70 inference('s_sup+', [status(thm)],
% 3.40/2.70 [zip_derived_cl1003, zip_derived_cl948])).
% 3.40/2.70 thf(zip_derived_cl31, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0))
% 3.40/2.70 | ~ (ex_sup_of_relstr_set @ sk__7 @ sk__8))),
% 3.40/2.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.40/2.70 thf(zip_derived_cl936, plain, ( (ex_sup_of_relstr_set @ sk__7 @ sk__8)),
% 3.40/2.70 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 3.40/2.70 thf(zip_derived_cl937, plain,
% 3.40/2.70 (![X0 : $i]:
% 3.40/2.70 (~ (element @ X0 @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ X0)
% 3.40/2.70 | (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__9 @ X0)))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl936])).
% 3.40/2.70 thf(zip_derived_cl1021, plain,
% 3.40/2.70 ((~ (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))
% 3.40/2.70 | ~ (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7)))),
% 3.40/2.70 inference('s_sup+', [status(thm)],
% 3.40/2.70 [zip_derived_cl1008, zip_derived_cl937])).
% 3.40/2.70 thf(zip_derived_cl946, plain,
% 3.40/2.70 ( (element @ (sk__3 @ sk__8 @ sk__7) @ (the_carrier @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl940, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl947, plain,
% 3.40/2.70 ( (relstr_set_smaller @ sk__7 @ sk__8 @ (sk__3 @ sk__8 @ sk__7))),
% 3.40/2.70 inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl30])).
% 3.40/2.70 thf(zip_derived_cl1024, plain, ($false),
% 3.40/2.70 inference('demod', [status(thm)],
% 3.40/2.70 [zip_derived_cl1021, zip_derived_cl946, zip_derived_cl947])).
% 3.40/2.70
% 3.40/2.70 % SZS output end Refutation
% 3.40/2.70
% 3.40/2.70
% 3.40/2.70 % Terminating...
% 3.68/2.91 % Runner terminated.
% 3.68/2.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------