TSTP Solution File: REL043-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL043-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HCVAvtUdoh true
% Computer : n024.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 Aug 31 13:47:29 EDT 2023
% Result : Unsatisfiable 121.06s 18.23s
% Output : Refutation 121.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : REL043-2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HCVAvtUdoh true
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 18:55:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.42/0.59 % Total configuration time : 435
% 0.42/0.59 % Estimated wc time : 1092
% 0.42/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 121.06/18.23 % Solved by fo/fo4.sh.
% 121.06/18.23 % done 4062 iterations in 17.481s
% 121.06/18.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 121.06/18.23 % SZS output start Refutation
% 121.06/18.23 thf(composition_type, type, composition: $i > $i > $i).
% 121.06/18.23 thf(meet_type, type, meet: $i > $i > $i).
% 121.06/18.23 thf(complement_type, type, complement: $i > $i).
% 121.06/18.23 thf(sk1_type, type, sk1: $i).
% 121.06/18.23 thf(converse_type, type, converse: $i > $i).
% 121.06/18.23 thf(sk3_type, type, sk3: $i).
% 121.06/18.23 thf(top_type, type, top: $i).
% 121.06/18.23 thf(join_type, type, join: $i > $i > $i).
% 121.06/18.23 thf(zero_type, type, zero: $i).
% 121.06/18.23 thf(sk2_type, type, sk2: $i).
% 121.06/18.23 thf(one_type, type, one: $i).
% 121.06/18.23 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(goals_17, conjecture,
% 121.06/18.23 (( join @ ( composition @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) != ( sk3 ))).
% 121.06/18.23 thf(zf_stmt_0, negated_conjecture,
% 121.06/18.23 (( join @ ( composition @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) = ( sk3 )),
% 121.06/18.23 inference('cnf.neg', [status(esa)], [goals_17])).
% 121.06/18.23 thf(zip_derived_cl16, plain,
% 121.06/18.23 (((join @ (composition @ sk1 @ (converse @ sk2)) @ sk3) = (sk3))),
% 121.06/18.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 121.06/18.23 thf(maddux1_join_commutativity_1, axiom,
% 121.06/18.23 (( join @ A @ B ) = ( join @ B @ A ))).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl21, plain,
% 121.06/18.23 (((join @ sk3 @ (composition @ sk1 @ (converse @ sk2))) = (sk3))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 121.06/18.23 thf(maddux2_join_associativity_2, axiom,
% 121.06/18.23 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl37, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ sk3 @ (join @ (composition @ sk1 @ (converse @ sk2)) @ X0))
% 121.06/18.23 = (join @ sk3 @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl412, plain,
% 121.06/18.23 (((join @ sk3 @ top)
% 121.06/18.23 = (join @ sk3 @ (complement @ (composition @ sk1 @ (converse @ sk2)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl37])).
% 121.06/18.23 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 121.06/18.23 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [composition_identity_6])).
% 121.06/18.23 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(converse_multiplicativity_10, axiom,
% 121.06/18.23 (( converse @ ( composition @ A @ B ) ) =
% 121.06/18.23 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 121.06/18.23 thf(zip_derived_cl9, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (composition @ X1 @ X0))
% 121.06/18.23 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 121.06/18.23 thf(zip_derived_cl40, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (composition @ (converse @ X0) @ X1))
% 121.06/18.23 = (composition @ (converse @ X1) @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 121.06/18.23 thf(zip_derived_cl132, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl40])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl138, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl138, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [composition_identity_6])).
% 121.06/18.23 thf(zip_derived_cl140, plain, (((one) = (converse @ one))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl5])).
% 121.06/18.23 thf(zip_derived_cl210, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl140])).
% 121.06/18.23 thf(converse_cancellativity_11, axiom,
% 121.06/18.23 (( join @
% 121.06/18.23 ( composition @
% 121.06/18.23 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 121.06/18.23 ( complement @ B ) ) =
% 121.06/18.23 ( complement @ B ))).
% 121.06/18.23 thf(zip_derived_cl10, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @
% 121.06/18.23 (composition @ (converse @ X1) @
% 121.06/18.23 (complement @ (composition @ X1 @ X0))) @
% 121.06/18.23 (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 121.06/18.23 thf(zip_derived_cl269, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 121.06/18.23 (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl10])).
% 121.06/18.23 thf(zip_derived_cl140, plain, (((one) = (converse @ one))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl5])).
% 121.06/18.23 thf(zip_derived_cl210, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl140])).
% 121.06/18.23 thf(zip_derived_cl270, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl269, zip_derived_cl140, zip_derived_cl210])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl30, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl1349, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @
% 121.06/18.23 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 121.06/18.23 = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl1401, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ X0) @ top) = (top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl1349, zip_derived_cl11])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl1474, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ top @ (complement @ X0)) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1401, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl30, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl1493, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl1502, plain,
% 121.06/18.23 (((top)
% 121.06/18.23 = (join @ sk3 @ (complement @ (composition @ sk1 @ (converse @ sk2)))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl412, zip_derived_cl1493])).
% 121.06/18.23 thf(zip_derived_cl270, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl269, zip_derived_cl140, zip_derived_cl210])).
% 121.06/18.23 thf(maddux4_definiton_of_meet_4, axiom,
% 121.06/18.23 (( meet @ A @ B ) =
% 121.06/18.23 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl277, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ X0 @ X0) = (complement @ (complement @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl3])).
% 121.06/18.23 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 121.06/18.23 thf(zip_derived_cl12, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_zero_13])).
% 121.06/18.23 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 121.06/18.23 (( A ) =
% 121.06/18.23 ( join @
% 121.06/18.23 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 121.06/18.23 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 121.06/18.23 thf(zip_derived_cl2, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl246, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ zero @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ (complement @ X0)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl248, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ X0)))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl404, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (meet @ X0 @ X0) @ zero) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl575, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl404])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl160, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl12, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_zero_13])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl232, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl4294, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ (complement @ X0) @ top) = (complement @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl575, zip_derived_cl232])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl4315, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((complement @ X0)
% 121.06/18.23 = (join @ (complement @ X0) @
% 121.06/18.23 (complement @ (join @ (complement @ (complement @ X0)) @ top))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4294, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl1493, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl4328, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ X0) = (join @ (complement @ X0) @ zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl4315, zip_derived_cl1493, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl575, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl404])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl4389, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ (complement @ X0) @ X1)
% 121.06/18.23 = (complement @ (join @ X0 @ (complement @ X1))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4366, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl47127, plain,
% 121.06/18.23 (((meet @ (complement @ sk3) @ (composition @ sk1 @ (converse @ sk2)))
% 121.06/18.23 = (complement @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1502, zip_derived_cl4389])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl47177, plain,
% 121.06/18.23 (((meet @ (complement @ sk3) @ (composition @ sk1 @ (converse @ sk2)))
% 121.06/18.23 = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl47127, zip_derived_cl163])).
% 121.06/18.23 thf(dedekind_law_14, axiom,
% 121.06/18.23 (( join @
% 121.06/18.23 ( meet @ ( composition @ A @ B ) @ C ) @
% 121.06/18.23 ( composition @
% 121.06/18.23 ( meet @ A @ ( composition @ C @ ( converse @ B ) ) ) @
% 121.06/18.23 ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ) ) =
% 121.06/18.23 ( composition @
% 121.06/18.23 ( meet @ A @ ( composition @ C @ ( converse @ B ) ) ) @
% 121.06/18.23 ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ))).
% 121.06/18.23 thf(zip_derived_cl13, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ (meet @ (composition @ X0 @ X2) @ X1) @
% 121.06/18.23 (composition @ (meet @ X0 @ (composition @ X1 @ (converse @ X2))) @
% 121.06/18.23 (meet @ X2 @ (composition @ (converse @ X0) @ X1))))
% 121.06/18.23 = (composition @
% 121.06/18.23 (meet @ X0 @ (composition @ X1 @ (converse @ X2))) @
% 121.06/18.23 (meet @ X2 @ (composition @ (converse @ X0) @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [dedekind_law_14])).
% 121.06/18.23 thf(zip_derived_cl47445, plain,
% 121.06/18.23 (((join @ (meet @ (composition @ (complement @ sk3) @ sk2) @ sk1) @
% 121.06/18.23 (composition @ zero @
% 121.06/18.23 (meet @ sk2 @ (composition @ (converse @ (complement @ sk3)) @ sk1))))
% 121.06/18.23 = (composition @
% 121.06/18.23 (meet @ (complement @ sk3) @ (composition @ sk1 @ (converse @ sk2))) @
% 121.06/18.23 (meet @ sk2 @ (composition @ (converse @ (complement @ sk3)) @ sk1))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl47177, zip_derived_cl13])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl158, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl11286, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(converse_additivity_9, axiom,
% 121.06/18.23 (( converse @ ( join @ A @ B ) ) =
% 121.06/18.23 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 121.06/18.23 thf(zip_derived_cl8, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (join @ X0 @ X1))
% 121.06/18.23 = (join @ (converse @ X0) @ (converse @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_additivity_9])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl23, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (converse @ X0) @ (converse @ X1))
% 121.06/18.23 = (converse @ (join @ X1 @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl46, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (converse @ X1) @ X0)
% 121.06/18.23 = (converse @ (join @ (converse @ X0) @ X1)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl23])).
% 121.06/18.23 thf(zip_derived_cl880, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (converse @ (complement @ (converse @ X0))) @ X0)
% 121.06/18.23 = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl46])).
% 121.06/18.23 thf(zip_derived_cl1493, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl880, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (converse @ (complement @ (converse @ X0))) @ X0)
% 121.06/18.23 = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl46])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl1544, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (converse @ (complement @ (converse @ X0))) @ X0) = (top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl880, zip_derived_cl1519])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl240, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ X1 @ (complement @ X0)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl18826, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @
% 121.06/18.23 (meet @ X0 @
% 121.06/18.23 (converse @ (complement @ (converse @ (complement @ X0))))) @
% 121.06/18.23 (complement @ top)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1544, zip_derived_cl240])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl575, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl404])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4382, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl18910, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (meet @ X0 @
% 121.06/18.23 (converse @ (complement @ (converse @ (complement @ X0))))))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl18826, zip_derived_cl163, zip_derived_cl4382])).
% 121.06/18.23 thf(zip_derived_cl11286, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl11286, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl270, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl269, zip_derived_cl140, zip_derived_cl210])).
% 121.06/18.23 thf(zip_derived_cl4395, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ (complement @ X0)) @ X0)
% 121.06/18.23 = (complement @ (complement @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4366, zip_derived_cl270])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4417, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl4395, zip_derived_cl4366, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl4568, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4417, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl10267, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (meet @ X0 @ X1) @ X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl4568])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl10346, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl10267, zip_derived_cl0, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl16, plain,
% 121.06/18.23 (((join @ (composition @ sk1 @ (converse @ sk2)) @ sk3) = (sk3))),
% 121.06/18.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl27, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X2 @ X1)) = (join @ X2 @ (join @ X1 @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl1009, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ X0 @ sk3)
% 121.06/18.23 = (join @ (composition @ sk1 @ (converse @ sk2)) @ (join @ sk3 @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 121.06/18.23 thf(zip_derived_cl10512, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (meet @ sk3 @ X0) @ sk3)
% 121.06/18.23 = (join @ (composition @ sk1 @ (converse @ sk2)) @ sk3))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl10346, zip_derived_cl1009])).
% 121.06/18.23 thf(zip_derived_cl16, plain,
% 121.06/18.23 (((join @ (composition @ sk1 @ (converse @ sk2)) @ sk3) = (sk3))),
% 121.06/18.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 121.06/18.23 thf(zip_derived_cl10565, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (meet @ sk3 @ X0) @ sk3) = (sk3))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl10512, zip_derived_cl16])).
% 121.06/18.23 thf(zip_derived_cl11714, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (meet @ X0 @ sk3) @ sk3) = (sk3))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl11286, zip_derived_cl10565])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl575, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl404])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl33, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (join @ top @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl1493, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl1505, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl1952, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl1505])).
% 121.06/18.23 thf(zip_derived_cl1984, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ X0) @ X0) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl575, zip_derived_cl1952])).
% 121.06/18.23 thf(zip_derived_cl1, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 121.06/18.23 thf(zip_derived_cl2252, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (join @ top @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1984, zip_derived_cl1])).
% 121.06/18.23 thf(zip_derived_cl1505, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl2273, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl2252, zip_derived_cl1505])).
% 121.06/18.23 thf(zip_derived_cl2963, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (join @ X1 @ X0)) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2273])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl5774, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0) = (join @ (meet @ X0 @ (join @ X1 @ X0)) @ (complement @ top)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl2963, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl4382, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl5855, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl5774, zip_derived_cl163, zip_derived_cl4382])).
% 121.06/18.23 thf(zip_derived_cl7507, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((X1) = (meet @ X1 @ (join @ X1 @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5855])).
% 121.06/18.23 thf(zip_derived_cl11804, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ X0 @ sk3) = (meet @ (meet @ X0 @ sk3) @ sk3))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl11714, zip_derived_cl7507])).
% 121.06/18.23 thf(zip_derived_cl12699, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ X0 @ sk3) = (meet @ (meet @ sk3 @ X0) @ sk3))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl11286, zip_derived_cl11804])).
% 121.06/18.23 thf(zip_derived_cl19012, plain,
% 121.06/18.23 (((meet @ (converse @ (complement @ (converse @ (complement @ sk3)))) @
% 121.06/18.23 sk3) = (meet @ sk3 @ sk3))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl18910, zip_derived_cl12699])).
% 121.06/18.23 thf(zip_derived_cl277, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ X0 @ X0) = (complement @ (complement @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4380, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl19030, plain,
% 121.06/18.23 (((meet @ (converse @ (complement @ (converse @ (complement @ sk3)))) @
% 121.06/18.23 sk3) = (sk3))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl19012, zip_derived_cl4380])).
% 121.06/18.23 thf(zip_derived_cl10346, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl10267, zip_derived_cl0, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl19034, plain,
% 121.06/18.23 (((join @ (converse @ (complement @ (converse @ (complement @ sk3)))) @
% 121.06/18.23 sk3) = (converse @ (complement @ (converse @ (complement @ sk3)))))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl19030, zip_derived_cl10346])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl8, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (join @ X0 @ X1))
% 121.06/18.23 = (join @ (converse @ X0) @ (converse @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_additivity_9])).
% 121.06/18.23 thf(zip_derived_cl26, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (join @ (converse @ X0) @ X1))
% 121.06/18.23 = (join @ X0 @ (converse @ X1)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 121.06/18.23 thf(zip_derived_cl19391, plain,
% 121.06/18.23 (((converse @ (converse @ (complement @ (converse @ (complement @ sk3)))))
% 121.06/18.23 = (join @ (complement @ (converse @ (complement @ sk3))) @
% 121.06/18.23 (converse @ sk3)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl19034, zip_derived_cl26])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl19411, plain,
% 121.06/18.23 (((complement @ (converse @ (complement @ sk3)))
% 121.06/18.23 = (join @ (complement @ (converse @ (complement @ sk3))) @
% 121.06/18.23 (converse @ sk3)))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl19391, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl2963, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (join @ X1 @ X0)) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2273])).
% 121.06/18.23 thf(zip_derived_cl19426, plain,
% 121.06/18.23 (((join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (complement @ (converse @ (complement @ sk3)))) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl19411, zip_derived_cl2963])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl19490, plain,
% 121.06/18.23 (((meet @ (converse @ sk3) @ (converse @ (complement @ sk3)))
% 121.06/18.23 = (complement @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl19426, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl19517, plain,
% 121.06/18.23 (((meet @ (converse @ sk3) @ (converse @ (complement @ sk3))) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl19490, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl240, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ X1 @ (complement @ X0)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl19908, plain,
% 121.06/18.23 (((converse @ sk3)
% 121.06/18.23 = (join @ zero @
% 121.06/18.23 (complement @
% 121.06/18.23 (join @ (converse @ (complement @ sk3)) @
% 121.06/18.23 (complement @ (converse @ sk3))))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl19517, zip_derived_cl240])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl270, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl269, zip_derived_cl140, zip_derived_cl210])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl276, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ (complement @ X0)) @
% 121.06/18.23 (complement @ (complement @ X0))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl12, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_zero_13])).
% 121.06/18.23 thf(zip_derived_cl286, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4381, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl19920, plain,
% 121.06/18.23 (((converse @ sk3)
% 121.06/18.23 = (complement @
% 121.06/18.23 (join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3)))))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl19908, zip_derived_cl0, zip_derived_cl4381])).
% 121.06/18.23 thf(zip_derived_cl18910, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (meet @ X0 @
% 121.06/18.23 (converse @ (complement @ (converse @ (complement @ X0))))))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl18826, zip_derived_cl163, zip_derived_cl4382])).
% 121.06/18.23 thf(zip_derived_cl20071, plain,
% 121.06/18.23 (((join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3)))
% 121.06/18.23 = (meet @
% 121.06/18.23 (join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3))) @
% 121.06/18.23 (converse @ (complement @ (converse @ (converse @ sk3))))))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl19920, zip_derived_cl18910])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl11286, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl5855, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl5774, zip_derived_cl163, zip_derived_cl4382])).
% 121.06/18.23 thf(zip_derived_cl20100, plain,
% 121.06/18.23 (((join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3))) = (converse @ (complement @ sk3)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl20071, zip_derived_cl7, zip_derived_cl11286,
% 121.06/18.23 zip_derived_cl5855])).
% 121.06/18.23 thf(zip_derived_cl19920, plain,
% 121.06/18.23 (((converse @ sk3)
% 121.06/18.23 = (complement @
% 121.06/18.23 (join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3)))))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl19908, zip_derived_cl0, zip_derived_cl4381])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl20064, plain,
% 121.06/18.23 (((complement @ (converse @ sk3))
% 121.06/18.23 = (join @ (complement @ (converse @ sk3)) @
% 121.06/18.23 (converse @ (complement @ sk3))))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl19920, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl21100, plain,
% 121.06/18.23 (((complement @ (converse @ sk3)) = (converse @ (complement @ sk3)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl20100, zip_derived_cl20064])).
% 121.06/18.23 thf(zip_derived_cl4381, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl11, plain,
% 121.06/18.23 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 121.06/18.23 inference('cnf', [status(esa)], [def_top_12])).
% 121.06/18.23 thf(zip_derived_cl26, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (join @ (converse @ X0) @ X1))
% 121.06/18.23 = (join @ X0 @ (converse @ X1)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 121.06/18.23 thf(zip_derived_cl80, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ top)
% 121.06/18.23 = (join @ X0 @ (converse @ (complement @ (converse @ X0)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl26])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl1535, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((top) = (join @ X0 @ (converse @ (complement @ (converse @ X0)))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl1519])).
% 121.06/18.23 thf(zip_derived_cl4856, plain,
% 121.06/18.23 (((top) = (converse @ (complement @ (converse @ zero))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4381, zip_derived_cl1535])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl5131, plain,
% 121.06/18.23 (((converse @ top) = (complement @ (converse @ zero)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4856, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl5169, plain, (((top) = (complement @ (converse @ zero)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl5131, zip_derived_cl1519])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl5214, plain, (((complement @ top) = (converse @ zero))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl5169, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl5227, plain, (((zero) = (converse @ zero))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl5214, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl40, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (composition @ (converse @ X0) @ X1))
% 121.06/18.23 = (composition @ (converse @ X1) @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 121.06/18.23 thf(zip_derived_cl5242, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ (composition @ zero @ X0))
% 121.06/18.23 = (composition @ (converse @ X0) @ zero))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl5227, zip_derived_cl40])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl5911, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ (composition @ (converse @ X0) @ zero))
% 121.06/18.23 = (composition @ zero @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl5242, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl9, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (composition @ X1 @ X0))
% 121.06/18.23 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 121.06/18.23 thf(zip_derived_cl1551, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ (composition @ X0 @ top))
% 121.06/18.23 = (composition @ top @ (converse @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1519, zip_derived_cl9])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl1915, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((converse @ (composition @ top @ (converse @ X0)))
% 121.06/18.23 = (composition @ X0 @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1551, zip_derived_cl7])).
% 121.06/18.23 thf(zip_derived_cl8595, plain,
% 121.06/18.23 (((converse @ (composition @ top @ top)) = (composition @ top @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1519, zip_derived_cl1915])).
% 121.06/18.23 thf(zip_derived_cl9, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((converse @ (composition @ X1 @ X0))
% 121.06/18.23 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 121.06/18.23 thf(zip_derived_cl10, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @
% 121.06/18.23 (composition @ (converse @ X1) @
% 121.06/18.23 (complement @ (composition @ X1 @ X0))) @
% 121.06/18.23 (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 121.06/18.23 thf(zip_derived_cl185, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @
% 121.06/18.23 (composition @ (converse @ (converse @ X0)) @
% 121.06/18.23 (complement @ (converse @ (composition @ X1 @ X0)))) @
% 121.06/18.23 (complement @ (converse @ X1))) = (complement @ (converse @ X1)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl10])).
% 121.06/18.23 thf(zip_derived_cl7, plain,
% 121.06/18.23 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 121.06/18.23 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl192, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ (converse @ X1)) @
% 121.06/18.23 (composition @ X0 @
% 121.06/18.23 (complement @ (converse @ (composition @ X1 @ X0)))))
% 121.06/18.23 = (complement @ (converse @ X1)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl185, zip_derived_cl7, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl16840, plain,
% 121.06/18.23 (((join @ (complement @ (converse @ top)) @
% 121.06/18.23 (composition @ top @ (complement @ (composition @ top @ top))))
% 121.06/18.23 = (complement @ (converse @ top)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl8595, zip_derived_cl192])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl4381, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl1519, plain, (((top) = (converse @ top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl880])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl16923, plain,
% 121.06/18.23 (((composition @ top @ (complement @ (composition @ top @ top))) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl16840, zip_derived_cl1519, zip_derived_cl163,
% 121.06/18.23 zip_derived_cl4381, zip_derived_cl1519, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl16923, plain,
% 121.06/18.23 (((composition @ top @ (complement @ (composition @ top @ top))) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl16840, zip_derived_cl1519, zip_derived_cl163,
% 121.06/18.23 zip_derived_cl4381, zip_derived_cl1519, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl210, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl140])).
% 121.06/18.23 thf(composition_distributivity_7, axiom,
% 121.06/18.23 (( composition @ ( join @ A @ B ) @ C ) =
% 121.06/18.23 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 121.06/18.23 thf(zip_derived_cl6, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((composition @ (join @ X0 @ X2) @ X1)
% 121.06/18.23 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 121.06/18.23 thf(zip_derived_cl267, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((composition @ (join @ one @ X1) @ X0)
% 121.06/18.23 = (join @ X0 @ (composition @ X1 @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl6])).
% 121.06/18.23 thf(zip_derived_cl20218, plain,
% 121.06/18.23 (((composition @ (join @ one @ top) @
% 121.06/18.23 (complement @ (composition @ top @ top)))
% 121.06/18.23 = (join @ (complement @ (composition @ top @ top)) @ zero))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl16923, zip_derived_cl267])).
% 121.06/18.23 thf(zip_derived_cl1493, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl30])).
% 121.06/18.23 thf(zip_derived_cl16923, plain,
% 121.06/18.23 (((composition @ top @ (complement @ (composition @ top @ top))) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl16840, zip_derived_cl1519, zip_derived_cl163,
% 121.06/18.23 zip_derived_cl4381, zip_derived_cl1519, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl4382, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl20233, plain,
% 121.06/18.23 (((zero) = (complement @ (composition @ top @ top)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl20218, zip_derived_cl1493, zip_derived_cl16923,
% 121.06/18.23 zip_derived_cl4382])).
% 121.06/18.23 thf(zip_derived_cl20270, plain, (((composition @ top @ zero) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl16923, zip_derived_cl20233])).
% 121.06/18.23 thf(zip_derived_cl6, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 121.06/18.23 ((composition @ (join @ X0 @ X2) @ X1)
% 121.06/18.23 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 121.06/18.23 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 121.06/18.23 thf(zip_derived_cl20442, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((composition @ (join @ top @ X0) @ zero)
% 121.06/18.23 = (join @ zero @ (composition @ X0 @ zero)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl20270, zip_derived_cl6])).
% 121.06/18.23 thf(zip_derived_cl1505, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl1493, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl20270, plain, (((composition @ top @ zero) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl16923, zip_derived_cl20233])).
% 121.06/18.23 thf(zip_derived_cl4381, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl20465, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (composition @ X0 @ zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl20442, zip_derived_cl1505, zip_derived_cl20270,
% 121.06/18.23 zip_derived_cl4381])).
% 121.06/18.23 thf(zip_derived_cl5227, plain, (((zero) = (converse @ zero))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl5214, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl20731, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (composition @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl5911, zip_derived_cl20465, zip_derived_cl5227])).
% 121.06/18.23 thf(zip_derived_cl4382, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl47177, plain,
% 121.06/18.23 (((meet @ (complement @ sk3) @ (composition @ sk1 @ (converse @ sk2)))
% 121.06/18.23 = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl47127, zip_derived_cl163])).
% 121.06/18.23 thf(zip_derived_cl21100, plain,
% 121.06/18.23 (((complement @ (converse @ sk3)) = (converse @ (complement @ sk3)))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl20100, zip_derived_cl20064])).
% 121.06/18.23 thf(zip_derived_cl20731, plain,
% 121.06/18.23 (![X0 : $i]: ((zero) = (composition @ zero @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl5911, zip_derived_cl20465, zip_derived_cl5227])).
% 121.06/18.23 thf(zip_derived_cl47459, plain,
% 121.06/18.23 (((meet @ sk1 @ (composition @ (complement @ sk3) @ sk2)) = (zero))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl47445, zip_derived_cl11286,
% 121.06/18.23 zip_derived_cl21100, zip_derived_cl20731, zip_derived_cl4382,
% 121.06/18.23 zip_derived_cl47177, zip_derived_cl21100, zip_derived_cl20731])).
% 121.06/18.23 thf(zip_derived_cl237, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((X0)
% 121.06/18.23 = (join @ (meet @ X0 @ X1) @
% 121.06/18.23 (complement @ (join @ (complement @ X0) @ X1))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl47463, plain,
% 121.06/18.23 (((sk1)
% 121.06/18.23 = (join @ zero @
% 121.06/18.23 (complement @
% 121.06/18.23 (join @ (complement @ sk1) @
% 121.06/18.23 (composition @ (complement @ sk3) @ sk2)))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl47459, zip_derived_cl237])).
% 121.06/18.23 thf(zip_derived_cl4389, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ (complement @ X0) @ X1)
% 121.06/18.23 = (complement @ (join @ X0 @ (complement @ X1))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4366, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl50120, plain,
% 121.06/18.23 (((meet @ (complement @ zero) @
% 121.06/18.23 (join @ (complement @ sk1) @ (composition @ (complement @ sk3) @ sk2)))
% 121.06/18.23 = (complement @ sk1))),
% 121.06/18.23 inference('sup+', [status(thm)],
% 121.06/18.23 [zip_derived_cl47463, zip_derived_cl4389])).
% 121.06/18.23 thf(zip_derived_cl286, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl2273, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl2252, zip_derived_cl1505])).
% 121.06/18.23 thf(zip_derived_cl3012, plain,
% 121.06/18.23 (![X0 : $i]: ((join @ (complement @ zero) @ X0) = (top))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl2273])).
% 121.06/18.23 thf(zip_derived_cl270, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl269, zip_derived_cl140, zip_derived_cl210])).
% 121.06/18.23 thf(zip_derived_cl3442, plain, (((top) = (complement @ zero))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl3012, zip_derived_cl270])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl286, plain,
% 121.06/18.23 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl163, plain, (((zero) = (complement @ top))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl12])).
% 121.06/18.23 thf(zip_derived_cl3, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]:
% 121.06/18.23 ((meet @ X0 @ X1)
% 121.06/18.23 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 121.06/18.23 thf(zip_derived_cl227, plain,
% 121.06/18.23 (![X0 : $i]:
% 121.06/18.23 ((meet @ top @ X0) = (complement @ (join @ zero @ (complement @ X0))))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl3])).
% 121.06/18.23 thf(zip_derived_cl3856, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ top @ (complement @ X0)) = (complement @ X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl227])).
% 121.06/18.23 thf(zip_derived_cl4403, plain,
% 121.06/18.23 (![X0 : $i]: ((meet @ top @ X0) = (complement @ (complement @ X0)))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4366, zip_derived_cl3856])).
% 121.06/18.23 thf(zip_derived_cl4366, plain,
% 121.06/18.23 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 121.06/18.23 inference('sup+', [status(thm)], [zip_derived_cl4328, zip_derived_cl575])).
% 121.06/18.23 thf(zip_derived_cl4419, plain, (![X0 : $i]: ((meet @ top @ X0) = (X0))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl4403, zip_derived_cl4366])).
% 121.06/18.23 thf(zip_derived_cl50141, plain,
% 121.06/18.23 (((join @ (complement @ sk1) @ (composition @ (complement @ sk3) @ sk2))
% 121.06/18.23 = (complement @ sk1))),
% 121.06/18.23 inference('demod', [status(thm)],
% 121.06/18.23 [zip_derived_cl50120, zip_derived_cl3442, zip_derived_cl4419])).
% 121.06/18.23 thf(goals_18, conjecture,
% 121.06/18.23 (( join @
% 121.06/18.23 ( composition @ ( complement @ sk3 ) @ sk2 ) @ ( complement @ sk1 ) ) =
% 121.06/18.23 ( complement @ sk1 ))).
% 121.06/18.23 thf(zf_stmt_1, negated_conjecture,
% 121.06/18.23 (( join @
% 121.06/18.23 ( composition @ ( complement @ sk3 ) @ sk2 ) @ ( complement @ sk1 ) ) !=
% 121.06/18.23 ( complement @ sk1 )),
% 121.06/18.23 inference('cnf.neg', [status(esa)], [goals_18])).
% 121.06/18.23 thf(zip_derived_cl17, plain,
% 121.06/18.23 (((join @ (composition @ (complement @ sk3) @ sk2) @ (complement @ sk1))
% 121.06/18.23 != (complement @ sk1))),
% 121.06/18.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 121.06/18.23 thf(zip_derived_cl0, plain,
% 121.06/18.23 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 121.06/18.23 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 121.06/18.23 thf(zip_derived_cl20, plain,
% 121.06/18.23 (((join @ (complement @ sk1) @ (composition @ (complement @ sk3) @ sk2))
% 121.06/18.23 != (complement @ sk1))),
% 121.06/18.23 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 121.06/18.23 thf(zip_derived_cl50142, plain, ($false),
% 121.06/18.23 inference('simplify_reflect-', [status(thm)],
% 121.06/18.23 [zip_derived_cl50141, zip_derived_cl20])).
% 121.06/18.23
% 121.06/18.23 % SZS output end Refutation
% 121.06/18.23
% 121.06/18.23
% 121.06/18.23 % Terminating...
% 121.64/18.28 % Runner terminated.
% 121.64/18.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------