TSTP Solution File: REL007-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL007-1 : 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.1YkiKGrvxa true
% Computer : n011.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 10.00s 1.95s
% Output : Refutation 10.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1YkiKGrvxa true
% 0.11/0.32 % Computer : n011.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 20:41:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.56 % Total configuration time : 435
% 0.18/0.56 % Estimated wc time : 1092
% 0.18/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.00/1.95 % Solved by fo/fo4.sh.
% 10.00/1.95 % done 1315 iterations in 1.239s
% 10.00/1.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.00/1.95 % SZS output start Refutation
% 10.00/1.95 thf(composition_type, type, composition: $i > $i > $i).
% 10.00/1.95 thf(meet_type, type, meet: $i > $i > $i).
% 10.00/1.95 thf(complement_type, type, complement: $i > $i).
% 10.00/1.95 thf(converse_type, type, converse: $i > $i).
% 10.00/1.95 thf(sk2_type, type, sk2: $i).
% 10.00/1.95 thf(top_type, type, top: $i).
% 10.00/1.95 thf(join_type, type, join: $i > $i > $i).
% 10.00/1.95 thf(zero_type, type, zero: $i).
% 10.00/1.95 thf(sk1_type, type, sk1: $i).
% 10.00/1.95 thf(one_type, type, one: $i).
% 10.00/1.95 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 10.00/1.95 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [composition_identity_6])).
% 10.00/1.95 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(converse_multiplicativity_10, axiom,
% 10.00/1.95 (( converse @ ( composition @ A @ B ) ) =
% 10.00/1.95 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 10.00/1.95 thf(zip_derived_cl9, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (composition @ X1 @ X0))
% 10.00/1.95 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 10.00/1.95 thf(zip_derived_cl21, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (composition @ (converse @ X0) @ X1))
% 10.00/1.95 = (composition @ (converse @ X1) @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 10.00/1.95 thf(zip_derived_cl124, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(zip_derived_cl130, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl7])).
% 10.00/1.95 thf(zip_derived_cl130, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl7])).
% 10.00/1.95 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [composition_identity_6])).
% 10.00/1.95 thf(zip_derived_cl132, plain, (((one) = (converse @ one))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl5])).
% 10.00/1.95 thf(zip_derived_cl136, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl132])).
% 10.00/1.95 thf(converse_cancellativity_11, axiom,
% 10.00/1.95 (( join @
% 10.00/1.95 ( composition @
% 10.00/1.95 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 10.00/1.95 ( complement @ B ) ) =
% 10.00/1.95 ( complement @ B ))).
% 10.00/1.95 thf(zip_derived_cl10, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @
% 10.00/1.95 (composition @ (converse @ X1) @
% 10.00/1.95 (complement @ (composition @ X1 @ X0))) @
% 10.00/1.95 (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 10.00/1.95 thf(zip_derived_cl195, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 10.00/1.95 (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl10])).
% 10.00/1.95 thf(zip_derived_cl132, plain, (((one) = (converse @ one))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl5])).
% 10.00/1.95 thf(zip_derived_cl136, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl132])).
% 10.00/1.95 thf(zip_derived_cl203, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl195, zip_derived_cl132, zip_derived_cl136])).
% 10.00/1.95 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(maddux2_join_associativity_2, axiom,
% 10.00/1.95 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl31, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl3527, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ X0) @
% 10.00/1.95 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 10.00/1.95 = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl3551, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ (complement @ X0) @ top) = (top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl3527, zip_derived_cl11])).
% 10.00/1.95 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 10.00/1.95 (( A ) =
% 10.00/1.95 ( join @
% 10.00/1.95 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 10.00/1.95 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 10.00/1.95 thf(zip_derived_cl2, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 10.00/1.95 thf(maddux4_definiton_of_meet_4, axiom,
% 10.00/1.95 (( meet @ A @ B ) =
% 10.00/1.95 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl4005, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ (meet @ X0 @ top) @ (complement @ top)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3551, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl172, plain,
% 10.00/1.95 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 10.00/1.95 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 10.00/1.95 thf(zip_derived_cl12, plain,
% 10.00/1.95 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_zero_13])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(maddux1_join_commutativity_1, axiom,
% 10.00/1.95 (( join @ A @ B ) = ( join @ B @ A ))).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl4016, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ top)))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4005, zip_derived_cl175, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl231, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl203, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl195, zip_derived_cl132, zip_derived_cl136])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl3534, plain,
% 10.00/1.95 (![X0 : $i]: ((meet @ X0 @ X0) = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl3975, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (complement @ (complement @ X0)) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3534, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl3984, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ (complement @ (complement @ X0)) @ zero))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl3975, zip_derived_cl0, zip_derived_cl11,
% 10.00/1.95 zip_derived_cl175])).
% 10.00/1.95 thf(zip_derived_cl231, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl4816, plain,
% 10.00/1.95 (![X0 : $i]: ((meet @ (complement @ X0) @ top) = (complement @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3984, zip_derived_cl231])).
% 10.00/1.95 thf(zip_derived_cl4016, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ top)))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4005, zip_derived_cl175, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl4950, plain,
% 10.00/1.95 (![X0 : $i]: ((complement @ X0) = (join @ zero @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4816, zip_derived_cl4016])).
% 10.00/1.95 thf(zip_derived_cl4981, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((complement @ (join @ (complement @ X0) @ zero))
% 10.00/1.95 = (join @ zero @ (meet @ X0 @ top)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl4950])).
% 10.00/1.95 thf(zip_derived_cl231, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl4016, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ top)))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4005, zip_derived_cl175, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl4984, plain, (![X0 : $i]: ((meet @ X0 @ top) = (X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4981, zip_derived_cl231, zip_derived_cl4016])).
% 10.00/1.95 thf(zip_derived_cl5160, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4016, zip_derived_cl4984])).
% 10.00/1.95 thf(goals_14, conjecture, (( meet @ sk1 @ ( converse @ sk2 ) ) != ( zero ))).
% 10.00/1.95 thf(zf_stmt_0, negated_conjecture,
% 10.00/1.95 (( meet @ sk1 @ ( converse @ sk2 ) ) = ( zero )),
% 10.00/1.95 inference('cnf.neg', [status(esa)], [goals_14])).
% 10.00/1.95 thf(zip_derived_cl13, plain, (((meet @ sk1 @ (converse @ sk2)) = (zero))),
% 10.00/1.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl216, plain,
% 10.00/1.95 (((sk1)
% 10.00/1.95 = (join @ zero @
% 10.00/1.95 (complement @ (join @ (complement @ sk1) @ (converse @ sk2)))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl5196, plain,
% 10.00/1.95 (((sk1) = (complement @ (join @ (complement @ sk1) @ (converse @ sk2))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl216])).
% 10.00/1.95 thf(zip_derived_cl203, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl195, zip_derived_cl132, zip_derived_cl136])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl3531, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ (complement @ X0)) @
% 10.00/1.95 (complement @ (complement @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl12, plain,
% 10.00/1.95 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_zero_13])).
% 10.00/1.95 thf(zip_derived_cl3553, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl3531, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl5308, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @ (converse @ sk2))
% 10.00/1.95 = (join @ zero @ (complement @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5196, zip_derived_cl3553])).
% 10.00/1.95 thf(zip_derived_cl5160, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4016, zip_derived_cl4984])).
% 10.00/1.95 thf(zip_derived_cl5320, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @ (converse @ sk2)) = (complement @ sk1))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl5308, zip_derived_cl5160])).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(converse_additivity_9, axiom,
% 10.00/1.95 (( converse @ ( join @ A @ B ) ) =
% 10.00/1.95 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 10.00/1.95 thf(zip_derived_cl8, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (join @ X0 @ X1))
% 10.00/1.95 = (join @ (converse @ X0) @ (converse @ X1)))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_additivity_9])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl17, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (converse @ X0) @ (converse @ X1))
% 10.00/1.95 = (converse @ (join @ X1 @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl27, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X0 @ (converse @ X1))
% 10.00/1.95 = (converse @ (join @ X1 @ (converse @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl17])).
% 10.00/1.95 thf(zip_derived_cl5501, plain,
% 10.00/1.95 (((join @ sk2 @ (converse @ (complement @ sk1)))
% 10.00/1.95 = (converse @ (complement @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5320, zip_derived_cl27])).
% 10.00/1.95 thf(zip_derived_cl3553, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl3531, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl31, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl1039, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ (complement @ X0) @ (complement @ top))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl1089, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ X0 @ (join @ (complement @ X0) @ zero)) = (top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl1039, zip_derived_cl175])).
% 10.00/1.95 thf(zip_derived_cl1512, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ X0 @ (join @ zero @ (complement @ X0))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1089])).
% 10.00/1.95 thf(zip_derived_cl4205, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ (complement @ X0) @ X0) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl1512])).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl4393, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (join @ top @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4205, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl216, plain,
% 10.00/1.95 (((sk1)
% 10.00/1.95 = (join @ zero @
% 10.00/1.95 (complement @ (join @ (complement @ sk1) @ (converse @ sk2)))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl218, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ zero @
% 10.00/1.95 (join @
% 10.00/1.95 (complement @ (join @ (complement @ sk1) @ (converse @ sk2))) @ X0))
% 10.00/1.95 = (join @ sk1 @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl220, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ zero @
% 10.00/1.95 (join @ X0 @
% 10.00/1.95 (complement @ (join @ (complement @ sk1) @ (converse @ sk2)))))
% 10.00/1.95 = (join @ sk1 @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl218])).
% 10.00/1.95 thf(zip_derived_cl308, plain,
% 10.00/1.95 (((join @ zero @ top)
% 10.00/1.95 = (join @ sk1 @ (join @ (complement @ sk1) @ (converse @ sk2))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl220])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl227, plain, (((top) = (join @ top @ zero))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl11])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl233, plain, (((join @ zero @ top) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl313, plain,
% 10.00/1.95 (((top) = (join @ sk1 @ (join @ (complement @ sk1) @ (converse @ sk2))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl233])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl34, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X1 @ (join @ (complement @ X1) @ X0)) = (join @ top @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl1856, plain, (((top) = (join @ top @ (converse @ sk2)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl34])).
% 10.00/1.95 thf(zip_derived_cl27, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X0 @ (converse @ X1))
% 10.00/1.95 = (converse @ (join @ X1 @ (converse @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl17])).
% 10.00/1.95 thf(zip_derived_cl1903, plain,
% 10.00/1.95 (((join @ sk2 @ (converse @ top)) = (converse @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl1856, zip_derived_cl27])).
% 10.00/1.95 thf(zip_derived_cl31, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl1961, plain,
% 10.00/1.95 (((join @ sk2 @
% 10.00/1.95 (join @ (converse @ top) @ (complement @ (converse @ top)))) = (
% 10.00/1.95 top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl1903, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl1967, plain, (((join @ sk2 @ top) = (top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl1961, zip_derived_cl11])).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl1971, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ sk2 @ (join @ top @ X0)) = (join @ top @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl1967, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl2527, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ sk2 @ (join @ X0 @ top)) = (join @ top @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1971])).
% 10.00/1.95 thf(zip_derived_cl3551, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ (complement @ X0) @ top) = (top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl3527, zip_derived_cl11])).
% 10.00/1.95 thf(zip_derived_cl2527, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ sk2 @ (join @ X0 @ top)) = (join @ top @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1971])).
% 10.00/1.95 thf(zip_derived_cl4003, plain,
% 10.00/1.95 (![X0 : $i]: ((join @ sk2 @ top) = (join @ top @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3551, zip_derived_cl2527])).
% 10.00/1.95 thf(zip_derived_cl1967, plain, (((join @ sk2 @ top) = (top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl1961, zip_derived_cl11])).
% 10.00/1.95 thf(zip_derived_cl4014, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ top @ (complement @ X0)))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4003, zip_derived_cl1967])).
% 10.00/1.95 thf(zip_derived_cl31, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl4064, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4014, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl4064, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4014, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl4093, plain, (![X0 : $i]: ((top) = (join @ top @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl2527, zip_derived_cl4064, zip_derived_cl4064])).
% 10.00/1.95 thf(zip_derived_cl4423, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4393, zip_derived_cl4093])).
% 10.00/1.95 thf(zip_derived_cl5882, plain,
% 10.00/1.95 (((join @ (complement @ sk2) @ (converse @ (complement @ sk1))) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5501, zip_derived_cl4423])).
% 10.00/1.95 thf(zip_derived_cl27, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ X0 @ (converse @ X1))
% 10.00/1.95 = (converse @ (join @ X1 @ (converse @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl17])).
% 10.00/1.95 thf(zip_derived_cl5971, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @ (converse @ (complement @ sk2)))
% 10.00/1.95 = (converse @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5882, zip_derived_cl27])).
% 10.00/1.95 thf(zip_derived_cl4064, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4014, zip_derived_cl31])).
% 10.00/1.95 thf(zip_derived_cl11, plain,
% 10.00/1.95 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_top_12])).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(zip_derived_cl17, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (converse @ X0) @ (converse @ X1))
% 10.00/1.95 = (converse @ (join @ X1 @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl26, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (converse @ X1) @ X0)
% 10.00/1.95 = (converse @ (join @ (converse @ X0) @ X1)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl17])).
% 10.00/1.95 thf(zip_derived_cl409, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (converse @ (complement @ (converse @ X0))) @ X0)
% 10.00/1.95 = (converse @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl26])).
% 10.00/1.95 thf(zip_derived_cl4114, plain, (((top) = (converse @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4064, zip_derived_cl409])).
% 10.00/1.95 thf(zip_derived_cl5986, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @ (converse @ (complement @ sk2))) = (top))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl5971, zip_derived_cl4114])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl6755, plain,
% 10.00/1.95 (((sk1)
% 10.00/1.95 = (join @ (meet @ sk1 @ (converse @ (complement @ sk2))) @
% 10.00/1.95 (complement @ top)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5986, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl5160, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4016, zip_derived_cl4984])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl5169, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl6771, plain,
% 10.00/1.95 (((sk1) = (meet @ sk1 @ (converse @ (complement @ sk2))))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl6755, zip_derived_cl175, zip_derived_cl5169])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl12, plain,
% 10.00/1.95 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 10.00/1.95 inference('cnf', [status(esa)], [def_zero_13])).
% 10.00/1.95 thf(zip_derived_cl167, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((zero)
% 10.00/1.95 = (meet @ (join @ (complement @ X1) @ (complement @ X0)) @
% 10.00/1.95 (meet @ X1 @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl9500, plain,
% 10.00/1.95 (((zero)
% 10.00/1.95 = (meet @
% 10.00/1.95 (join @ (complement @ sk1) @
% 10.00/1.95 (complement @ (converse @ (complement @ sk2)))) @
% 10.00/1.95 sk1))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl6771, zip_derived_cl167])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl9554, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @
% 10.00/1.95 (complement @ (converse @ (complement @ sk2))))
% 10.00/1.95 = (join @ zero @
% 10.00/1.95 (complement @
% 10.00/1.95 (join @
% 10.00/1.95 (complement @
% 10.00/1.95 (join @ (complement @ sk1) @
% 10.00/1.95 (complement @ (converse @ (complement @ sk2))))) @
% 10.00/1.95 sk1))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl9500, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl6771, plain,
% 10.00/1.95 (((sk1) = (meet @ sk1 @ (converse @ (complement @ sk2))))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl6755, zip_derived_cl175, zip_derived_cl5169])).
% 10.00/1.95 thf(zip_derived_cl5160, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4016, zip_derived_cl4984])).
% 10.00/1.95 thf(zip_derived_cl3553, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl3531, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl5197, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl3553])).
% 10.00/1.95 thf(zip_derived_cl203, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl195, zip_derived_cl132, zip_derived_cl136])).
% 10.00/1.95 thf(zip_derived_cl5469, plain,
% 10.00/1.95 (![X0 : $i]:
% 10.00/1.95 ((join @ (complement @ (complement @ X0)) @ X0)
% 10.00/1.95 = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5197, zip_derived_cl203])).
% 10.00/1.95 thf(zip_derived_cl5197, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl3553])).
% 10.00/1.95 thf(zip_derived_cl5197, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl3553])).
% 10.00/1.95 thf(zip_derived_cl5484, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl5469, zip_derived_cl5197, zip_derived_cl5197])).
% 10.00/1.95 thf(zip_derived_cl5160, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4016, zip_derived_cl4984])).
% 10.00/1.95 thf(zip_derived_cl9565, plain,
% 10.00/1.95 (((join @ (complement @ sk1) @
% 10.00/1.95 (complement @ (converse @ (complement @ sk2)))) = (complement @ sk1))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl9554, zip_derived_cl3, zip_derived_cl6771,
% 10.00/1.95 zip_derived_cl5484, zip_derived_cl5160])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl170, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl10032, plain,
% 10.00/1.95 (((meet @ (converse @ (complement @ sk2)) @ sk1)
% 10.00/1.95 = (complement @ (complement @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl9565, zip_derived_cl170])).
% 10.00/1.95 thf(zip_derived_cl5197, plain,
% 10.00/1.95 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl3553])).
% 10.00/1.95 thf(zip_derived_cl10051, plain,
% 10.00/1.95 (((meet @ (converse @ (complement @ sk2)) @ sk1) = (sk1))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl10032, zip_derived_cl5197])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl5484, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl5469, zip_derived_cl5197, zip_derived_cl5197])).
% 10.00/1.95 thf(zip_derived_cl1, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.00/1.95 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 10.00/1.95 thf(zip_derived_cl5631, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5484, zip_derived_cl1])).
% 10.00/1.95 thf(zip_derived_cl9032, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (meet @ X0 @ X1) @ X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl5631])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl9081, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl9032, zip_derived_cl0, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(zip_derived_cl8, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (join @ X0 @ X1))
% 10.00/1.95 = (join @ (converse @ X0) @ (converse @ X1)))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_additivity_9])).
% 10.00/1.95 thf(zip_derived_cl20, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (join @ (converse @ X0) @ X1))
% 10.00/1.95 = (join @ X0 @ (converse @ X1)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 10.00/1.95 thf(zip_derived_cl9161, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((converse @ (converse @ X0))
% 10.00/1.95 = (join @ X0 @ (converse @ (meet @ (converse @ X0) @ X1))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl9081, zip_derived_cl20])).
% 10.00/1.95 thf(zip_derived_cl7, plain,
% 10.00/1.95 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 10.00/1.95 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 10.00/1.95 thf(zip_derived_cl9195, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0) = (join @ X0 @ (converse @ (meet @ (converse @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl9161, zip_derived_cl7])).
% 10.00/1.95 thf(zip_derived_cl10080, plain,
% 10.00/1.95 (((complement @ sk2) = (join @ (complement @ sk2) @ (converse @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)],
% 10.00/1.95 [zip_derived_cl10051, zip_derived_cl9195])).
% 10.00/1.95 thf(zip_derived_cl0, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 10.00/1.95 thf(zip_derived_cl4423, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4393, zip_derived_cl4093])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl5532, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X1) = (join @ (meet @ X1 @ (join @ X1 @ X0)) @ (complement @ top)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl4423, zip_derived_cl207])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl5169, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5160, zip_derived_cl0])).
% 10.00/1.95 thf(zip_derived_cl5585, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((X1) = (meet @ X1 @ (join @ X1 @ X0)))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl5532, zip_derived_cl175, zip_derived_cl5169])).
% 10.00/1.95 thf(zip_derived_cl5695, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5585])).
% 10.00/1.95 thf(zip_derived_cl10112, plain,
% 10.00/1.95 (((converse @ sk1) = (meet @ (converse @ sk1) @ (complement @ sk2)))),
% 10.00/1.95 inference('sup+', [status(thm)],
% 10.00/1.95 [zip_derived_cl10080, zip_derived_cl5695])).
% 10.00/1.95 thf(zip_derived_cl170, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl10022, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl10214, plain,
% 10.00/1.95 (((converse @ sk1) = (meet @ (complement @ sk2) @ (converse @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)],
% 10.00/1.95 [zip_derived_cl10112, zip_derived_cl10022])).
% 10.00/1.95 thf(zip_derived_cl207, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((X0)
% 10.00/1.95 = (join @ (meet @ X0 @ X1) @
% 10.00/1.95 (complement @ (join @ (complement @ X0) @ X1))))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl4423, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 10.00/1.95 inference('demod', [status(thm)],
% 10.00/1.95 [zip_derived_cl4393, zip_derived_cl4093])).
% 10.00/1.95 thf(zip_derived_cl5549, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((join @ (complement @ (meet @ X0 @ X1)) @ X0) = (top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl4423])).
% 10.00/1.95 thf(zip_derived_cl3, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ X0 @ X1)
% 10.00/1.95 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 10.00/1.95 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 10.00/1.95 thf(zip_derived_cl7387, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ (meet @ (complement @ X0) @ X1) @ X0) = (complement @ top))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl5549, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 10.00/1.95 thf(zip_derived_cl7434, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]:
% 10.00/1.95 ((meet @ (meet @ (complement @ X0) @ X1) @ X0) = (zero))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl7387, zip_derived_cl175])).
% 10.00/1.95 thf(zip_derived_cl10317, plain, (((meet @ (converse @ sk1) @ sk2) = (zero))),
% 10.00/1.95 inference('sup+', [status(thm)],
% 10.00/1.95 [zip_derived_cl10214, zip_derived_cl7434])).
% 10.00/1.95 thf(zip_derived_cl10022, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl10328, plain, (((zero) = (meet @ sk2 @ (converse @ sk1)))),
% 10.00/1.95 inference('sup+', [status(thm)],
% 10.00/1.95 [zip_derived_cl10317, zip_derived_cl10022])).
% 10.00/1.95 thf(goals_15, conjecture, (( meet @ ( converse @ sk1 ) @ sk2 ) = ( zero ))).
% 10.00/1.95 thf(zf_stmt_1, negated_conjecture,
% 10.00/1.95 (( meet @ ( converse @ sk1 ) @ sk2 ) != ( zero )),
% 10.00/1.95 inference('cnf.neg', [status(esa)], [goals_15])).
% 10.00/1.95 thf(zip_derived_cl14, plain, (((meet @ (converse @ sk1) @ sk2) != (zero))),
% 10.00/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.00/1.95 thf(zip_derived_cl10022, plain,
% 10.00/1.95 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 10.00/1.95 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl3])).
% 10.00/1.95 thf(zip_derived_cl10157, plain,
% 10.00/1.95 (((meet @ sk2 @ (converse @ sk1)) != (zero))),
% 10.00/1.95 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl10022])).
% 10.00/1.95 thf(zip_derived_cl10341, plain, ($false),
% 10.00/1.95 inference('simplify_reflect-', [status(thm)],
% 10.00/1.95 [zip_derived_cl10328, zip_derived_cl10157])).
% 10.00/1.95
% 10.00/1.95 % SZS output end Refutation
% 10.00/1.95
% 10.00/1.95
% 10.00/1.95 % Terminating...
% 10.00/1.99 % Runner terminated.
% 10.00/2.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------