TSTP Solution File: REL010-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL010-2 : 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.IO5SzzRg7T true
% Computer : n022.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 13:47:06 EDT 2023
% Result : Unsatisfiable 14.44s 2.74s
% Output : Refutation 14.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL010-2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IO5SzzRg7T true
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 19:47:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.44/2.74 % Solved by fo/fo5.sh.
% 14.44/2.74 % done 1234 iterations in 1.962s
% 14.44/2.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.44/2.74 % SZS output start Refutation
% 14.44/2.74 thf(composition_type, type, composition: $i > $i > $i).
% 14.44/2.74 thf(meet_type, type, meet: $i > $i > $i).
% 14.44/2.74 thf(complement_type, type, complement: $i > $i).
% 14.44/2.74 thf(sk1_type, type, sk1: $i).
% 14.44/2.74 thf(converse_type, type, converse: $i > $i).
% 14.44/2.74 thf(sk3_type, type, sk3: $i).
% 14.44/2.74 thf(top_type, type, top: $i).
% 14.44/2.74 thf(join_type, type, join: $i > $i > $i).
% 14.44/2.74 thf(zero_type, type, zero: $i).
% 14.44/2.74 thf(sk2_type, type, sk2: $i).
% 14.44/2.74 thf(one_type, type, one: $i).
% 14.44/2.74 thf(goals_17, conjecture,
% 14.44/2.74 (( meet @ ( composition @ sk1 @ sk2 ) @ sk3 ) != ( zero ))).
% 14.44/2.74 thf(zf_stmt_0, negated_conjecture,
% 14.44/2.74 (( meet @ ( composition @ sk1 @ sk2 ) @ sk3 ) = ( zero )),
% 14.44/2.74 inference('cnf.neg', [status(esa)], [goals_17])).
% 14.44/2.74 thf(zip_derived_cl16, plain,
% 14.44/2.74 (((meet @ (composition @ sk1 @ sk2) @ sk3) = (zero))),
% 14.44/2.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.44/2.74 thf(maddux4_definiton_of_meet_4, axiom,
% 14.44/2.74 (( meet @ A @ B ) =
% 14.44/2.74 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 14.44/2.74 thf(zip_derived_cl11, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_top_12])).
% 14.44/2.74 thf(zip_derived_cl87, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((top)
% 14.44/2.74 = (join @ (join @ (complement @ X1) @ (complement @ X0)) @
% 14.44/2.74 (meet @ X1 @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 14.44/2.74 thf(zip_derived_cl5422, plain,
% 14.44/2.74 (((top)
% 14.44/2.74 = (join @
% 14.44/2.74 (join @ (complement @ (composition @ sk1 @ sk2)) @
% 14.44/2.74 (complement @ sk3)) @
% 14.44/2.74 zero))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl87])).
% 14.44/2.74 thf(maddux1_join_commutativity_1, axiom,
% 14.44/2.74 (( join @ A @ B ) = ( join @ B @ A ))).
% 14.44/2.74 thf(zip_derived_cl0, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 14.44/2.74 thf(maddux2_join_associativity_2, axiom,
% 14.44/2.74 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 14.44/2.74 thf(zip_derived_cl1, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 14.44/2.74 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 14.44/2.74 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [composition_identity_6])).
% 14.44/2.74 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 14.44/2.74 thf(zip_derived_cl7, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 14.44/2.74 thf(converse_multiplicativity_10, axiom,
% 14.44/2.74 (( converse @ ( composition @ A @ B ) ) =
% 14.44/2.74 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 14.44/2.74 thf(zip_derived_cl9, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((converse @ (composition @ X1 @ X0))
% 14.44/2.74 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 14.44/2.74 thf(zip_derived_cl24, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((converse @ (composition @ (converse @ X0) @ X1))
% 14.44/2.74 = (composition @ (converse @ X1) @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 14.44/2.74 thf(zip_derived_cl51, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl24])).
% 14.44/2.74 thf(zip_derived_cl7, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 14.44/2.74 thf(zip_derived_cl55, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl7])).
% 14.44/2.74 thf(zip_derived_cl55, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl7])).
% 14.44/2.74 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [composition_identity_6])).
% 14.44/2.74 thf(zip_derived_cl57, plain, (((one) = (converse @ one))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl5])).
% 14.44/2.74 thf(zip_derived_cl61, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl57])).
% 14.44/2.74 thf(converse_cancellativity_11, axiom,
% 14.44/2.74 (( join @
% 14.44/2.74 ( composition @
% 14.44/2.74 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 14.44/2.74 ( complement @ B ) ) =
% 14.44/2.74 ( complement @ B ))).
% 14.44/2.74 thf(zip_derived_cl10, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((join @
% 14.44/2.74 (composition @ (converse @ X1) @
% 14.44/2.74 (complement @ (composition @ X1 @ X0))) @
% 14.44/2.74 (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 14.44/2.74 thf(zip_derived_cl102, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 14.44/2.74 (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl10])).
% 14.44/2.74 thf(zip_derived_cl57, plain, (((one) = (converse @ one))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl5])).
% 14.44/2.74 thf(zip_derived_cl61, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl57])).
% 14.44/2.74 thf(zip_derived_cl108, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl102, zip_derived_cl57, zip_derived_cl61])).
% 14.44/2.74 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 14.44/2.74 (( A ) =
% 14.44/2.74 ( join @
% 14.44/2.74 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 14.44/2.74 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 14.44/2.74 thf(zip_derived_cl2, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((X0)
% 14.44/2.74 = (join @
% 14.44/2.74 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 14.44/2.74 (complement @ (join @ (complement @ X0) @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl125, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((X0)
% 14.44/2.74 = (join @ (meet @ X0 @ X1) @
% 14.44/2.74 (complement @ (join @ (complement @ X0) @ X1))))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl389, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((X0)
% 14.44/2.74 = (join @ (meet @ X0 @ (complement @ X0)) @
% 14.44/2.74 (complement @ (complement @ X0))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl125])).
% 14.44/2.74 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 14.44/2.74 thf(zip_derived_cl12, plain,
% 14.44/2.74 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_zero_13])).
% 14.44/2.74 thf(zip_derived_cl403, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl11, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_top_12])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl92, plain,
% 14.44/2.74 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl12, plain,
% 14.44/2.74 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_zero_13])).
% 14.44/2.74 thf(zip_derived_cl95, plain, (((zero) = (complement @ top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl108, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl102, zip_derived_cl57, zip_derived_cl61])).
% 14.44/2.74 thf(zip_derived_cl394, plain,
% 14.44/2.74 (((join @ (complement @ top) @ zero) = (complement @ top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl108])).
% 14.44/2.74 thf(zip_derived_cl95, plain, (((zero) = (complement @ top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl95, plain, (((zero) = (complement @ top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl398, plain, (((join @ zero @ zero) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl394, zip_derived_cl95, zip_derived_cl95])).
% 14.44/2.74 thf(zip_derived_cl1, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 14.44/2.74 thf(zip_derived_cl408, plain,
% 14.44/2.74 (![X0 : $i]: ((join @ zero @ (join @ zero @ X0)) = (join @ zero @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 14.44/2.74 thf(zip_derived_cl551, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ zero @ X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl408])).
% 14.44/2.74 thf(zip_derived_cl403, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl560, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl0, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 14.44/2.74 thf(zip_derived_cl567, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl0])).
% 14.44/2.74 thf(zip_derived_cl5454, plain,
% 14.44/2.74 (((top)
% 14.44/2.74 = (join @ (complement @ sk3) @
% 14.44/2.74 (complement @ (composition @ sk1 @ sk2))))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl5422, zip_derived_cl0, zip_derived_cl1,
% 14.44/2.74 zip_derived_cl567])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl5487, plain,
% 14.44/2.74 (((meet @ sk3 @ (composition @ sk1 @ sk2)) = (complement @ top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl5454, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl95, plain, (((zero) = (complement @ top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl5498, plain,
% 14.44/2.74 (((meet @ sk3 @ (composition @ sk1 @ sk2)) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl5487, zip_derived_cl95])).
% 14.44/2.74 thf(zip_derived_cl7, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 14.44/2.74 thf(dedekind_law_14, axiom,
% 14.44/2.74 (( join @
% 14.44/2.74 ( meet @ ( composition @ A @ B ) @ C ) @
% 14.44/2.74 ( composition @
% 14.44/2.74 ( meet @ A @ ( composition @ C @ ( converse @ B ) ) ) @
% 14.44/2.74 ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ) ) =
% 14.44/2.74 ( composition @
% 14.44/2.74 ( meet @ A @ ( composition @ C @ ( converse @ B ) ) ) @
% 14.44/2.74 ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ))).
% 14.44/2.74 thf(zip_derived_cl13, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ (meet @ (composition @ X0 @ X2) @ X1) @
% 14.44/2.74 (composition @ (meet @ X0 @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ (converse @ X0) @ X1))))
% 14.44/2.74 = (composition @
% 14.44/2.74 (meet @ X0 @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ (converse @ X0) @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [dedekind_law_14])).
% 14.44/2.74 thf(zip_derived_cl154, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ (meet @ (composition @ (converse @ X0) @ X2) @ X1) @
% 14.44/2.74 (composition @
% 14.44/2.74 (meet @ (converse @ X0) @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ X0 @ X1))))
% 14.44/2.74 = (composition @
% 14.44/2.74 (meet @ (converse @ X0) @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ (converse @ (converse @ X0)) @ X1))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 14.44/2.74 thf(zip_derived_cl7, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 14.44/2.74 thf(zip_derived_cl171, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ (meet @ (composition @ (converse @ X0) @ X2) @ X1) @
% 14.44/2.74 (composition @
% 14.44/2.74 (meet @ (converse @ X0) @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ X0 @ X1))))
% 14.44/2.74 = (composition @
% 14.44/2.74 (meet @ (converse @ X0) @ (composition @ X1 @ (converse @ X2))) @
% 14.44/2.74 (meet @ X2 @ (composition @ X0 @ X1))))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl7])).
% 14.44/2.74 thf(zip_derived_cl14866, plain,
% 14.44/2.74 (((join @ (meet @ (composition @ (converse @ sk1) @ sk3) @ sk2) @
% 14.44/2.74 (composition @
% 14.44/2.74 (meet @ (converse @ sk1) @ (composition @ sk2 @ (converse @ sk3))) @
% 14.44/2.74 zero))
% 14.44/2.74 = (composition @
% 14.44/2.74 (meet @ (converse @ sk1) @ (composition @ sk2 @ (converse @ sk3))) @
% 14.44/2.74 (meet @ sk3 @ (composition @ sk1 @ sk2))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl5498, zip_derived_cl171])).
% 14.44/2.74 thf(zip_derived_cl0, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl90, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl5911, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl560, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl403, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl12])).
% 14.44/2.74 thf(zip_derived_cl578, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl108, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl102, zip_derived_cl57, zip_derived_cl61])).
% 14.44/2.74 thf(zip_derived_cl657, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @ (complement @ (complement @ X0)) @ X0)
% 14.44/2.74 = (complement @ (complement @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl108])).
% 14.44/2.74 thf(zip_derived_cl578, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl578, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl669, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl657, zip_derived_cl578, zip_derived_cl578])).
% 14.44/2.74 thf(zip_derived_cl11, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_top_12])).
% 14.44/2.74 thf(zip_derived_cl1, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 14.44/2.74 thf(zip_derived_cl34, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 14.44/2.74 thf(zip_derived_cl1567, plain,
% 14.44/2.74 (![X0 : $i]: ((join @ X0 @ (join @ X0 @ (complement @ X0))) = (top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl34])).
% 14.44/2.74 thf(zip_derived_cl11, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_top_12])).
% 14.44/2.74 thf(zip_derived_cl1606, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl1567, zip_derived_cl11])).
% 14.44/2.74 thf(zip_derived_cl7, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 14.44/2.74 thf(converse_additivity_9, axiom,
% 14.44/2.74 (( converse @ ( join @ A @ B ) ) =
% 14.44/2.74 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 14.44/2.74 thf(zip_derived_cl8, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((converse @ (join @ X0 @ X1))
% 14.44/2.74 = (join @ (converse @ X0) @ (converse @ X1)))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_additivity_9])).
% 14.44/2.74 thf(zip_derived_cl23, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((converse @ (join @ (converse @ X0) @ X1))
% 14.44/2.74 = (join @ X0 @ (converse @ X1)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 14.44/2.74 thf(zip_derived_cl1658, plain,
% 14.44/2.74 (![X0 : $i]: ((converse @ top) = (join @ X0 @ (converse @ top)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1606, zip_derived_cl23])).
% 14.44/2.74 thf(zip_derived_cl578, plain,
% 14.44/2.74 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl11, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 14.44/2.74 inference('cnf', [status(esa)], [def_top_12])).
% 14.44/2.74 thf(zip_derived_cl655, plain,
% 14.44/2.74 (![X0 : $i]: ((top) = (join @ (complement @ X0) @ X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl11])).
% 14.44/2.74 thf(zip_derived_cl1752, plain, (((top) = (converse @ top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1658, zip_derived_cl655])).
% 14.44/2.74 thf(zip_derived_cl16, plain,
% 14.44/2.74 (((meet @ (composition @ sk1 @ sk2) @ sk3) = (zero))),
% 14.44/2.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl10, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((join @
% 14.44/2.74 (composition @ (converse @ X1) @
% 14.44/2.74 (complement @ (composition @ X1 @ X0))) @
% 14.44/2.74 (complement @ X0)) = (complement @ X0))),
% 14.44/2.74 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 14.44/2.74 thf(zip_derived_cl99, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @
% 14.44/2.74 (composition @ (converse @ X2) @
% 14.44/2.74 (complement @
% 14.44/2.74 (composition @ X2 @ (join @ (complement @ X1) @ (complement @ X0))))) @
% 14.44/2.74 (meet @ X1 @ X0))
% 14.44/2.74 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 14.44/2.74 thf(zip_derived_cl3, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((meet @ X0 @ X1)
% 14.44/2.74 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 14.44/2.74 thf(zip_derived_cl107, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @
% 14.44/2.74 (composition @ (converse @ X2) @
% 14.44/2.74 (complement @
% 14.44/2.74 (composition @ X2 @ (join @ (complement @ X1) @ (complement @ X0))))) @
% 14.44/2.74 (meet @ X1 @ X0)) = (meet @ X1 @ X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl3])).
% 14.44/2.74 thf(zip_derived_cl7256, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((join @
% 14.44/2.74 (composition @ (converse @ X0) @
% 14.44/2.74 (complement @
% 14.44/2.74 (composition @ X0 @
% 14.44/2.74 (join @ (complement @ (composition @ sk1 @ sk2)) @
% 14.44/2.74 (complement @ sk3))))) @
% 14.44/2.74 zero) = (meet @ (composition @ sk1 @ sk2) @ sk3))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl107])).
% 14.44/2.74 thf(zip_derived_cl5454, plain,
% 14.44/2.74 (((top)
% 14.44/2.74 = (join @ (complement @ sk3) @
% 14.44/2.74 (complement @ (composition @ sk1 @ sk2))))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl5422, zip_derived_cl0, zip_derived_cl1,
% 14.44/2.74 zip_derived_cl567])).
% 14.44/2.74 thf(zip_derived_cl669, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl657, zip_derived_cl578, zip_derived_cl578])).
% 14.44/2.74 thf(zip_derived_cl1, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 14.44/2.74 thf(zip_derived_cl0, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 14.44/2.74 thf(zip_derived_cl31, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((join @ X0 @ (join @ X2 @ X1)) = (join @ X2 @ (join @ X1 @ X0)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 14.44/2.74 thf(zip_derived_cl1132, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ (join @ X0 @ X1)))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl31])).
% 14.44/2.74 thf(zip_derived_cl6149, plain,
% 14.44/2.74 (((join @ (complement @ (composition @ sk1 @ sk2)) @ (complement @ sk3))
% 14.44/2.74 = (join @ (complement @ sk3) @ top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl5454, zip_derived_cl1132])).
% 14.44/2.74 thf(zip_derived_cl1606, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl1567, zip_derived_cl11])).
% 14.44/2.74 thf(zip_derived_cl6184, plain,
% 14.44/2.74 (((join @ (complement @ (composition @ sk1 @ sk2)) @ (complement @ sk3))
% 14.44/2.74 = (top))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl6149, zip_derived_cl1606])).
% 14.44/2.74 thf(zip_derived_cl567, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl0])).
% 14.44/2.74 thf(zip_derived_cl16, plain,
% 14.44/2.74 (((meet @ (composition @ sk1 @ sk2) @ sk3) = (zero))),
% 14.44/2.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.44/2.74 thf(zip_derived_cl7346, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((composition @ (converse @ X0) @
% 14.44/2.74 (complement @ (composition @ X0 @ top))) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl7256, zip_derived_cl6184, zip_derived_cl567,
% 14.44/2.74 zip_derived_cl16])).
% 14.44/2.74 thf(zip_derived_cl7465, plain,
% 14.44/2.74 (((composition @ top @ (complement @ (composition @ top @ top))) = (zero))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1752, zip_derived_cl7346])).
% 14.44/2.74 thf(composition_distributivity_7, axiom,
% 14.44/2.74 (( composition @ ( join @ A @ B ) @ C ) =
% 14.44/2.74 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 14.44/2.74 thf(zip_derived_cl6, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((composition @ (join @ X0 @ X2) @ X1)
% 14.44/2.74 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 14.44/2.74 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 14.44/2.74 thf(zip_derived_cl7578, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((composition @ (join @ top @ X0) @
% 14.44/2.74 (complement @ (composition @ top @ top)))
% 14.44/2.74 = (join @ zero @
% 14.44/2.74 (composition @ X0 @ (complement @ (composition @ top @ top)))))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl7465, zip_derived_cl6])).
% 14.44/2.74 thf(zip_derived_cl1606, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl1567, zip_derived_cl11])).
% 14.44/2.74 thf(zip_derived_cl0, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 14.44/2.74 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 14.44/2.74 thf(zip_derived_cl1648, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1606, zip_derived_cl0])).
% 14.44/2.74 thf(zip_derived_cl7465, plain,
% 14.44/2.74 (((composition @ top @ (complement @ (composition @ top @ top))) = (zero))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl1752, zip_derived_cl7346])).
% 14.44/2.74 thf(zip_derived_cl560, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl403])).
% 14.44/2.74 thf(zip_derived_cl7587, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((zero)
% 14.44/2.74 = (composition @ X0 @ (complement @ (composition @ top @ top))))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl7578, zip_derived_cl1648, zip_derived_cl7465,
% 14.44/2.74 zip_derived_cl560])).
% 14.44/2.74 thf(composition_associativity_5, axiom,
% 14.44/2.74 (( composition @ A @ ( composition @ B @ C ) ) =
% 14.44/2.74 ( composition @ ( composition @ A @ B ) @ C ))).
% 14.44/2.74 thf(zip_derived_cl4, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.44/2.74 ((composition @ X0 @ (composition @ X1 @ X2))
% 14.44/2.74 = (composition @ (composition @ X0 @ X1) @ X2))),
% 14.44/2.74 inference('cnf', [status(esa)], [composition_associativity_5])).
% 14.44/2.74 thf(zip_derived_cl7808, plain,
% 14.44/2.74 (![X0 : $i, X1 : $i]:
% 14.44/2.74 ((composition @ X1 @
% 14.44/2.74 (composition @ X0 @ (complement @ (composition @ top @ top))))
% 14.44/2.74 = (zero))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl7587, zip_derived_cl4])).
% 14.44/2.74 thf(zip_derived_cl7587, plain,
% 14.44/2.74 (![X0 : $i]:
% 14.44/2.74 ((zero)
% 14.44/2.74 = (composition @ X0 @ (complement @ (composition @ top @ top))))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl7578, zip_derived_cl1648, zip_derived_cl7465,
% 14.44/2.74 zip_derived_cl560])).
% 14.44/2.74 thf(zip_derived_cl7835, plain,
% 14.44/2.74 (![X1 : $i]: ((composition @ X1 @ zero) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl7808, zip_derived_cl7587])).
% 14.44/2.74 thf(zip_derived_cl567, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 14.44/2.74 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl0])).
% 14.44/2.74 thf(zip_derived_cl5498, plain,
% 14.44/2.74 (((meet @ sk3 @ (composition @ sk1 @ sk2)) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)], [zip_derived_cl5487, zip_derived_cl95])).
% 14.44/2.74 thf(zip_derived_cl7835, plain,
% 14.44/2.74 (![X1 : $i]: ((composition @ X1 @ zero) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl7808, zip_derived_cl7587])).
% 14.44/2.74 thf(zip_derived_cl15002, plain,
% 14.44/2.74 (((meet @ sk2 @ (composition @ (converse @ sk1) @ sk3)) = (zero))),
% 14.44/2.74 inference('demod', [status(thm)],
% 14.44/2.74 [zip_derived_cl14866, zip_derived_cl5911, zip_derived_cl7835,
% 14.44/2.74 zip_derived_cl567, zip_derived_cl5498, zip_derived_cl7835])).
% 14.44/2.74 thf(goals_18, conjecture,
% 14.44/2.74 (( meet @ sk2 @ ( composition @ ( converse @ sk1 ) @ sk3 ) ) = ( zero ))).
% 14.44/2.74 thf(zf_stmt_1, negated_conjecture,
% 14.44/2.74 (( meet @ sk2 @ ( composition @ ( converse @ sk1 ) @ sk3 ) ) != ( zero )),
% 14.44/2.74 inference('cnf.neg', [status(esa)], [goals_18])).
% 14.44/2.74 thf(zip_derived_cl17, plain,
% 14.44/2.74 (((meet @ sk2 @ (composition @ (converse @ sk1) @ sk3)) != (zero))),
% 14.44/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.44/2.74 thf(zip_derived_cl15003, plain, ($false),
% 14.44/2.74 inference('simplify_reflect-', [status(thm)],
% 14.44/2.74 [zip_derived_cl15002, zip_derived_cl17])).
% 14.44/2.74
% 14.44/2.74 % SZS output end Refutation
% 14.44/2.74
% 14.44/2.74
% 14.44/2.74 % Terminating...
% 14.44/2.85 % Runner terminated.
% 14.44/2.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------