TSTP Solution File: REL006-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UVI69DGI8n true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:47:03 EDT 2023
% Result : Unsatisfiable 13.95s 2.61s
% Output : Refutation 13.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UVI69DGI8n true
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 19:30:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.95/2.61 % Solved by fo/fo5.sh.
% 13.95/2.61 % done 1499 iterations in 1.856s
% 13.95/2.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.95/2.61 % SZS output start Refutation
% 13.95/2.61 thf(composition_type, type, composition: $i > $i > $i).
% 13.95/2.61 thf(meet_type, type, meet: $i > $i > $i).
% 13.95/2.61 thf(complement_type, type, complement: $i > $i).
% 13.95/2.61 thf(converse_type, type, converse: $i > $i).
% 13.95/2.61 thf(sk2_type, type, sk2: $i).
% 13.95/2.61 thf(top_type, type, top: $i).
% 13.95/2.61 thf(join_type, type, join: $i > $i > $i).
% 13.95/2.61 thf(zero_type, type, zero: $i).
% 13.95/2.61 thf(sk1_type, type, sk1: $i).
% 13.95/2.61 thf(one_type, type, one: $i).
% 13.95/2.61 thf(goals_14, conjecture, (( meet @ ( converse @ sk1 ) @ sk2 ) != ( zero ))).
% 13.95/2.61 thf(zf_stmt_0, negated_conjecture,
% 13.95/2.61 (( meet @ ( converse @ sk1 ) @ sk2 ) = ( zero )),
% 13.95/2.61 inference('cnf.neg', [status(esa)], [goals_14])).
% 13.95/2.61 thf(zip_derived_cl13, plain, (((meet @ (converse @ sk1) @ sk2) = (zero))),
% 13.95/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.95/2.61 thf(maddux4_definiton_of_meet_4, axiom,
% 13.95/2.61 (( meet @ A @ B ) =
% 13.95/2.61 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl101, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((top)
% 13.95/2.61 = (join @ (join @ (complement @ X1) @ (complement @ X0)) @
% 13.95/2.61 (meet @ X1 @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 13.95/2.61 thf(zip_derived_cl7373, plain,
% 13.95/2.61 (((top)
% 13.95/2.61 = (join @
% 13.95/2.61 (join @ (complement @ (converse @ sk1)) @ (complement @ sk2)) @
% 13.95/2.61 zero))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl101])).
% 13.95/2.61 thf(maddux1_join_commutativity_1, axiom,
% 13.95/2.61 (( join @ A @ B ) = ( join @ B @ A ))).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(maddux2_join_associativity_2, axiom,
% 13.95/2.61 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 13.95/2.61 thf(zip_derived_cl1, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.95/2.61 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 13.95/2.61 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 13.95/2.61 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [composition_identity_6])).
% 13.95/2.61 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(converse_multiplicativity_10, axiom,
% 13.95/2.61 (( converse @ ( composition @ A @ B ) ) =
% 13.95/2.61 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 13.95/2.61 thf(zip_derived_cl9, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (composition @ X1 @ X0))
% 13.95/2.61 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 13.95/2.61 thf(zip_derived_cl21, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (composition @ (converse @ X0) @ X1))
% 13.95/2.61 = (composition @ (converse @ X1) @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 13.95/2.61 thf(zip_derived_cl178, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(zip_derived_cl184, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl7])).
% 13.95/2.61 thf(zip_derived_cl184, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl7])).
% 13.95/2.61 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [composition_identity_6])).
% 13.95/2.61 thf(zip_derived_cl195, plain, (((one) = (converse @ one))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 13.95/2.61 thf(zip_derived_cl201, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl195])).
% 13.95/2.61 thf(converse_cancellativity_11, axiom,
% 13.95/2.61 (( join @
% 13.95/2.61 ( composition @
% 13.95/2.61 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 13.95/2.61 ( complement @ B ) ) =
% 13.95/2.61 ( complement @ B ))).
% 13.95/2.61 thf(zip_derived_cl10, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @
% 13.95/2.61 (composition @ (converse @ X1) @
% 13.95/2.61 (complement @ (composition @ X1 @ X0))) @
% 13.95/2.61 (complement @ X0)) = (complement @ X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 13.95/2.61 thf(zip_derived_cl220, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 13.95/2.61 (complement @ X0)) = (complement @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl10])).
% 13.95/2.61 thf(zip_derived_cl195, plain, (((one) = (converse @ one))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 13.95/2.61 thf(zip_derived_cl201, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl195])).
% 13.95/2.61 thf(zip_derived_cl221, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl220, zip_derived_cl195, zip_derived_cl201])).
% 13.95/2.61 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 13.95/2.61 (( A ) =
% 13.95/2.61 ( join @
% 13.95/2.61 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 13.95/2.61 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 13.95/2.61 thf(zip_derived_cl2, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl141, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl456, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ (complement @ X0)) @
% 13.95/2.61 (complement @ (complement @ X0))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl141])).
% 13.95/2.61 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 13.95/2.61 thf(zip_derived_cl12, plain,
% 13.95/2.61 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_zero_13])).
% 13.95/2.61 thf(zip_derived_cl470, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl456, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl106, plain,
% 13.95/2.61 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl12, plain,
% 13.95/2.61 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_zero_13])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl221, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl220, zip_derived_cl195, zip_derived_cl201])).
% 13.95/2.61 thf(zip_derived_cl461, plain,
% 13.95/2.61 (((join @ (complement @ top) @ zero) = (complement @ top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl221])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl465, plain, (((join @ zero @ zero) = (zero))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl461, zip_derived_cl109, zip_derived_cl109])).
% 13.95/2.61 thf(zip_derived_cl1, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.95/2.61 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 13.95/2.61 thf(zip_derived_cl475, plain,
% 13.95/2.61 (![X0 : $i]: ((join @ zero @ (join @ zero @ X0)) = (join @ zero @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl1])).
% 13.95/2.61 thf(zip_derived_cl1009, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ zero @ X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl475])).
% 13.95/2.61 thf(zip_derived_cl470, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl456, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl1018, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl1029, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl0])).
% 13.95/2.61 thf(zip_derived_cl7398, plain,
% 13.95/2.61 (((top) = (join @ (complement @ sk2) @ (complement @ (converse @ sk1))))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl7373, zip_derived_cl0, zip_derived_cl1,
% 13.95/2.61 zip_derived_cl1029])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl7513, plain,
% 13.95/2.61 (((meet @ sk2 @ (converse @ sk1)) = (complement @ top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7398, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl7529, plain, (((meet @ sk2 @ (converse @ sk1)) = (zero))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl7513, zip_derived_cl109])).
% 13.95/2.61 thf(zip_derived_cl141, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl7531, plain,
% 13.95/2.61 (((sk2)
% 13.95/2.61 = (join @ zero @
% 13.95/2.61 (complement @ (join @ (complement @ sk2) @ (converse @ sk1)))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7529, zip_derived_cl141])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl1018, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl7538, plain,
% 13.95/2.61 (((sk2) = (complement @ (join @ (converse @ sk1) @ (complement @ sk2))))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl7531, zip_derived_cl0, zip_derived_cl1018])).
% 13.95/2.61 thf(zip_derived_cl1018, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl470, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl456, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl7732, plain,
% 13.95/2.61 (((join @ (converse @ sk1) @ (complement @ sk2)) = (complement @ sk2))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7538, zip_derived_cl1047])).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(converse_additivity_9, axiom,
% 13.95/2.61 (( converse @ ( join @ A @ B ) ) =
% 13.95/2.61 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 13.95/2.61 thf(zip_derived_cl8, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ X0 @ X1))
% 13.95/2.61 = (join @ (converse @ X0) @ (converse @ X1)))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_additivity_9])).
% 13.95/2.61 thf(zip_derived_cl20, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ (converse @ X0) @ X1))
% 13.95/2.61 = (join @ X0 @ (converse @ X1)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 13.95/2.61 thf(zip_derived_cl7770, plain,
% 13.95/2.61 (((converse @ (complement @ sk2))
% 13.95/2.61 = (join @ sk1 @ (converse @ (complement @ sk2))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7732, zip_derived_cl20])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl1, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.95/2.61 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 13.95/2.61 thf(zip_derived_cl34, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (join @ top @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl221, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl220, zip_derived_cl195, zip_derived_cl201])).
% 13.95/2.61 thf(zip_derived_cl1143, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((join @ (complement @ (complement @ X0)) @ X0)
% 13.95/2.61 = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1047, zip_derived_cl221])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl1152, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl1143, zip_derived_cl1047, zip_derived_cl1047])).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl1, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.95/2.61 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 13.95/2.61 thf(zip_derived_cl31, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 13.95/2.61 thf(zip_derived_cl1467, plain,
% 13.95/2.61 (![X0 : $i]: ((join @ X0 @ (join @ X0 @ (complement @ X0))) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1152, zip_derived_cl31])).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl1491, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl1467, zip_derived_cl11])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl1523, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1491, zip_derived_cl0])).
% 13.95/2.61 thf(zip_derived_cl1606, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1523])).
% 13.95/2.61 thf(zip_derived_cl1636, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (complement @ X0) @ (join @ X0 @ X1)) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1047, zip_derived_cl1606])).
% 13.95/2.61 thf(zip_derived_cl11603, plain,
% 13.95/2.61 (((join @ (complement @ sk1) @ (converse @ (complement @ sk2))) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7770, zip_derived_cl1636])).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(zip_derived_cl8, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ X0 @ X1))
% 13.95/2.61 = (join @ (converse @ X0) @ (converse @ X1)))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_additivity_9])).
% 13.95/2.61 thf(zip_derived_cl19, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ X1 @ (converse @ X0)))
% 13.95/2.61 = (join @ (converse @ X1) @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 13.95/2.61 thf(zip_derived_cl12302, plain,
% 13.95/2.61 (((converse @ top)
% 13.95/2.61 = (join @ (converse @ (complement @ sk1)) @ (complement @ sk2)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl11603, zip_derived_cl19])).
% 13.95/2.61 thf(zip_derived_cl1523, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1491, zip_derived_cl0])).
% 13.95/2.61 thf(zip_derived_cl11, plain,
% 13.95/2.61 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_top_12])).
% 13.95/2.61 thf(zip_derived_cl20, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ (converse @ X0) @ X1))
% 13.95/2.61 = (join @ X0 @ (converse @ X1)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 13.95/2.61 thf(zip_derived_cl72, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((converse @ top)
% 13.95/2.61 = (join @ X0 @ (converse @ (complement @ (converse @ X0)))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl20])).
% 13.95/2.61 thf(zip_derived_cl1564, plain, (((converse @ top) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1523, zip_derived_cl72])).
% 13.95/2.61 thf(zip_derived_cl12328, plain,
% 13.95/2.61 (((top) = (join @ (converse @ (complement @ sk1)) @ (complement @ sk2)))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl12302, zip_derived_cl1564])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl141, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl144, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ X1 @ (complement @ X0)))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl141])).
% 13.95/2.61 thf(zip_derived_cl13175, plain,
% 13.95/2.61 (((sk2)
% 13.95/2.61 = (join @ (meet @ sk2 @ (converse @ (complement @ sk1))) @
% 13.95/2.61 (complement @ top)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl12328, zip_derived_cl144])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl1029, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl0])).
% 13.95/2.61 thf(zip_derived_cl13198, plain,
% 13.95/2.61 (((sk2) = (meet @ sk2 @ (converse @ (complement @ sk1))))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl13175, zip_derived_cl109, zip_derived_cl1029])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl104, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl7813, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl141, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl1152, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl1143, zip_derived_cl1047, zip_derived_cl1047])).
% 13.95/2.61 thf(zip_derived_cl1, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.95/2.61 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 13.95/2.61 thf(zip_derived_cl1464, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1152, zip_derived_cl1])).
% 13.95/2.61 thf(zip_derived_cl6866, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (meet @ X0 @ X1) @ X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl1464])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl141, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((X0)
% 13.95/2.61 = (join @ (meet @ X0 @ X1) @
% 13.95/2.61 (complement @ (join @ (complement @ X0) @ X1))))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl6914, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl6866, zip_derived_cl0, zip_derived_cl141])).
% 13.95/2.61 thf(zip_derived_cl7851, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7813, zip_derived_cl6914])).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(zip_derived_cl8, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((converse @ (join @ X0 @ X1))
% 13.95/2.61 = (join @ (converse @ X0) @ (converse @ X1)))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_additivity_9])).
% 13.95/2.61 thf(zip_derived_cl0, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 13.95/2.61 thf(zip_derived_cl17, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (converse @ X0) @ (converse @ X1))
% 13.95/2.61 = (converse @ (join @ X1 @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 13.95/2.61 thf(zip_derived_cl26, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (converse @ X1) @ X0)
% 13.95/2.61 = (converse @ (join @ (converse @ X0) @ X1)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl17])).
% 13.95/2.61 thf(zip_derived_cl7925, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (converse @ (meet @ X1 @ (converse @ X0))) @ X0)
% 13.95/2.61 = (converse @ (converse @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl7851, zip_derived_cl26])).
% 13.95/2.61 thf(zip_derived_cl7, plain,
% 13.95/2.61 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 13.95/2.61 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 13.95/2.61 thf(zip_derived_cl7967, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (converse @ (meet @ X1 @ (converse @ X0))) @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl7925, zip_derived_cl7])).
% 13.95/2.61 thf(zip_derived_cl13232, plain,
% 13.95/2.61 (((join @ (converse @ sk2) @ (complement @ sk1)) = (complement @ sk1))),
% 13.95/2.61 inference('sup+', [status(thm)],
% 13.95/2.61 [zip_derived_cl13198, zip_derived_cl7967])).
% 13.95/2.61 thf(zip_derived_cl1636, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((join @ (complement @ X0) @ (join @ X0 @ X1)) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1047, zip_derived_cl1606])).
% 13.95/2.61 thf(zip_derived_cl13386, plain,
% 13.95/2.61 (((join @ (complement @ (converse @ sk2)) @ (complement @ sk1)) = (top))),
% 13.95/2.61 inference('sup+', [status(thm)],
% 13.95/2.61 [zip_derived_cl13232, zip_derived_cl1636])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl12, plain,
% 13.95/2.61 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 13.95/2.61 inference('cnf', [status(esa)], [def_zero_13])).
% 13.95/2.61 thf(zip_derived_cl102, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((zero)
% 13.95/2.61 = (meet @ (join @ (complement @ X1) @ (complement @ X0)) @
% 13.95/2.61 (meet @ X1 @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl15565, plain,
% 13.95/2.61 (((zero) = (meet @ top @ (meet @ (converse @ sk2) @ sk1)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl13386, zip_derived_cl102])).
% 13.95/2.61 thf(zip_derived_cl7813, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl109, plain, (((zero) = (complement @ top))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl12])).
% 13.95/2.61 thf(zip_derived_cl3, plain,
% 13.95/2.61 (![X0 : $i, X1 : $i]:
% 13.95/2.61 ((meet @ X0 @ X1)
% 13.95/2.61 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 13.95/2.61 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 13.95/2.61 thf(zip_derived_cl154, plain,
% 13.95/2.61 (![X0 : $i]:
% 13.95/2.61 ((meet @ top @ X0) = (complement @ (join @ zero @ (complement @ X0))))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl3])).
% 13.95/2.61 thf(zip_derived_cl1018, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl1047, plain,
% 13.95/2.61 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 13.95/2.61 inference('sup+', [status(thm)], [zip_derived_cl1018, zip_derived_cl470])).
% 13.95/2.61 thf(zip_derived_cl4508, plain, (![X0 : $i]: ((meet @ top @ X0) = (X0))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl154, zip_derived_cl1018, zip_derived_cl1047])).
% 13.95/2.61 thf(zip_derived_cl15588, plain, (((zero) = (meet @ sk1 @ (converse @ sk2)))),
% 13.95/2.61 inference('demod', [status(thm)],
% 13.95/2.61 [zip_derived_cl15565, zip_derived_cl7813, zip_derived_cl4508])).
% 13.95/2.61 thf(goals_15, conjecture, (( meet @ sk1 @ ( converse @ sk2 ) ) = ( zero ))).
% 13.95/2.61 thf(zf_stmt_1, negated_conjecture,
% 13.95/2.61 (( meet @ sk1 @ ( converse @ sk2 ) ) != ( zero )),
% 13.95/2.61 inference('cnf.neg', [status(esa)], [goals_15])).
% 13.95/2.61 thf(zip_derived_cl14, plain, (((meet @ sk1 @ (converse @ sk2)) != (zero))),
% 13.95/2.61 inference('cnf', [status(esa)], [zf_stmt_1])).
% 13.95/2.61 thf(zip_derived_cl15589, plain, ($false),
% 13.95/2.61 inference('simplify_reflect-', [status(thm)],
% 13.95/2.61 [zip_derived_cl15588, zip_derived_cl14])).
% 13.95/2.61
% 13.95/2.61 % SZS output end Refutation
% 13.95/2.61
% 13.95/2.61
% 13.95/2.61 % Terminating...
% 13.95/2.73 % Runner terminated.
% 13.95/2.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------