%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL024-2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lWJGRR2YbU true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:02 PM UTC 2025
% Result : Unsatisfiable 72.06s 10.90s
% Output : Refutation 72.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL024-2 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lWJGRR2YbU true
% 0.14/0.34 % Computer : n027.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 : Wed Oct 1 12:24:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 72.06/10.90 % Solved by fo/fo6_bce.sh.
% 72.06/10.90 % BCE start: 17
% 72.06/10.90 % BCE eliminated: 0
% 72.06/10.90 % PE start: 17
% 72.06/10.90 logic: eq
% 72.06/10.90 % PE eliminated: 0
% 72.06/10.90 % done 874 iterations in 10.169s
% 72.06/10.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 72.06/10.90 % SZS output start Refutation
% 72.06/10.90 thf(composition_type, type, composition: $i > $i > $i).
% 72.06/10.90 thf(meet_type, type, meet: $i > $i > $i).
% 72.06/10.90 thf(complement_type, type, complement: $i > $i).
% 72.06/10.90 thf(sk1_type, type, sk1: $i).
% 72.06/10.90 thf(converse_type, type, converse: $i > $i).
% 72.06/10.90 thf(sk3_type, type, sk3: $i).
% 72.06/10.90 thf(join_type, type, join: $i > $i > $i).
% 72.06/10.90 thf(sk2_type, type, sk2: $i).
% 72.06/10.90 thf(one_type, type, one: $i).
% 72.06/10.90 thf(goals_17, conjecture,
% 72.06/10.90 (( join @
% 72.06/10.90 ( composition @
% 72.06/10.90 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 72.06/10.90 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) ) =
% 72.06/10.90 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ))).
% 72.06/10.90 thf(zf_stmt_0, negated_conjecture,
% 72.06/10.90 (( join @
% 72.06/10.90 ( composition @
% 72.06/10.90 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 72.06/10.90 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) ) !=
% 72.06/10.90 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 )),
% 72.06/10.90 inference('cnf.neg', [status(esa)], [goals_17])).
% 72.06/10.90 thf(zip_derived_cl16, plain,
% 72.06/10.90 (((join @
% 72.06/10.90 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)) @
% 72.06/10.90 (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))
% 72.06/10.90 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 72.06/10.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 72.06/10.90 thf(maddux1_join_commutativity_1, axiom,
% 72.06/10.90 (( join @ A @ B ) = ( join @ B @ A ))).
% 72.06/10.90 thf(zip_derived_cl0, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 72.06/10.90 thf(zip_derived_cl19, plain,
% 72.06/10.90 (((join @ (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3) @
% 72.06/10.90 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)))
% 72.06/10.90 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 72.06/10.90 thf(converse_multiplicativity_10, axiom,
% 72.06/10.90 (( converse @ ( composition @ A @ B ) ) =
% 72.06/10.90 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 72.06/10.90 thf(zip_derived_cl9, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (composition @ X1 @ X0))
% 72.06/10.90 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 72.06/10.90 thf(composition_distributivity_7, axiom,
% 72.06/10.90 (( composition @ ( join @ A @ B ) @ C ) =
% 72.06/10.90 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 72.06/10.90 thf(zip_derived_cl6, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ (join @ X0 @ X2) @ X1)
% 72.06/10.90 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 72.06/10.90 thf(zip_derived_cl111, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ (join @ X2 @ (converse @ X0)) @ (converse @ X1))
% 72.06/10.90 = (join @ (composition @ X2 @ (converse @ X1)) @
% 72.06/10.90 (converse @ (composition @ X1 @ X0))))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 72.06/10.90 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 72.06/10.90 thf(zip_derived_cl7, plain,
% 72.06/10.90 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 72.06/10.90 thf(zip_derived_cl9, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (composition @ X1 @ X0))
% 72.06/10.90 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 72.06/10.90 thf(zip_derived_cl24, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (composition @ (converse @ X0) @ X1))
% 72.06/10.90 = (composition @ (converse @ X1) @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 72.06/10.90 thf(converse_additivity_9, axiom,
% 72.06/10.90 (( converse @ ( join @ A @ B ) ) =
% 72.06/10.90 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 72.06/10.90 thf(zip_derived_cl8, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (join @ X0 @ X1))
% 72.06/10.90 = (join @ (converse @ X0) @ (converse @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_additivity_9])).
% 72.06/10.90 thf(zip_derived_cl38, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((converse @ (join @ (composition @ (converse @ X0) @ X1) @ X2))
% 72.06/10.90 = (join @ (composition @ (converse @ X1) @ X0) @ (converse @ X2)))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl8])).
% 72.06/10.90 thf(zip_derived_cl2444, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((converse @
% 72.06/10.90 (composition @ (join @ (converse @ X2) @ (converse @ X1)) @
% 72.06/10.90 (converse @ X0)))
% 72.06/10.90 = (join @ (composition @ (converse @ (converse @ X0)) @ X2) @
% 72.06/10.90 (converse @ (converse @ (composition @ X0 @ X1)))))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl38])).
% 72.06/10.90 thf(zip_derived_cl8, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (join @ X0 @ X1))
% 72.06/10.90 = (join @ (converse @ X0) @ (converse @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_additivity_9])).
% 72.06/10.90 thf(zip_derived_cl0, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 72.06/10.90 thf(zip_derived_cl20, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((join @ (converse @ X0) @ (converse @ X1))
% 72.06/10.90 = (converse @ (join @ X1 @ X0)))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 72.06/10.90 thf(zip_derived_cl9, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (composition @ X1 @ X0))
% 72.06/10.90 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 72.06/10.90 thf(zip_derived_cl7, plain,
% 72.06/10.90 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 72.06/10.90 thf(zip_derived_cl7, plain,
% 72.06/10.90 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 72.06/10.90 thf(zip_derived_cl7, plain,
% 72.06/10.90 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 72.06/10.90 thf(zip_derived_cl2522, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ X0 @ (join @ X1 @ X2))
% 72.06/10.90 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 72.06/10.90 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl0, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 72.06/10.90 thf(zip_derived_cl2523, plain,
% 72.06/10.90 (((composition @ (meet @ sk1 @ (converse @ sk2)) @
% 72.06/10.90 (join @ sk3 @ (meet @ sk2 @ sk3)))
% 72.06/10.90 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl19, zip_derived_cl2522, zip_derived_cl0])).
% 72.06/10.90 thf(zip_derived_cl0, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 72.06/10.90 thf(maddux4_definiton_of_meet_4, axiom,
% 72.06/10.90 (( meet @ A @ B ) =
% 72.06/10.90 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 72.06/10.90 thf(zip_derived_cl3, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((meet @ X0 @ X1)
% 72.06/10.90 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 72.06/10.90 thf(zip_derived_cl84, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((meet @ X0 @ X1)
% 72.06/10.90 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 72.06/10.90 thf(zip_derived_cl3, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((meet @ X0 @ X1)
% 72.06/10.90 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 72.06/10.90 thf(zip_derived_cl2077, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl3])).
% 72.06/10.90 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 72.06/10.90 (( A ) =
% 72.06/10.90 ( join @
% 72.06/10.90 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 72.06/10.90 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 72.06/10.90 thf(zip_derived_cl2, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((X0)
% 72.06/10.90 = (join @
% 72.06/10.90 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 72.06/10.90 (complement @ (join @ (complement @ X0) @ X1))))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 72.06/10.90 thf(zip_derived_cl3, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((meet @ X0 @ X1)
% 72.06/10.90 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 72.06/10.90 thf(zip_derived_cl79, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((X0)
% 72.06/10.90 = (join @ (meet @ X0 @ X1) @
% 72.06/10.90 (complement @ (join @ (complement @ X0) @ X1))))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 72.06/10.90 thf(zip_derived_cl3, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((meet @ X0 @ X1)
% 72.06/10.90 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 72.06/10.90 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 72.06/10.90 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [composition_identity_6])).
% 72.06/10.90 thf(zip_derived_cl24, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((converse @ (composition @ (converse @ X0) @ X1))
% 72.06/10.90 = (composition @ (converse @ X1) @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 72.06/10.90 thf(zip_derived_cl43, plain,
% 72.06/10.90 (![X0 : $i]:
% 72.06/10.90 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl24])).
% 72.06/10.90 thf(zip_derived_cl7, plain,
% 72.06/10.90 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 72.06/10.90 thf(zip_derived_cl47, plain,
% 72.06/10.90 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl47, plain,
% 72.06/10.90 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [composition_identity_6])).
% 72.06/10.90 thf(zip_derived_cl49, plain, (((one) = (converse @ one))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl5])).
% 72.06/10.90 thf(zip_derived_cl68, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl49])).
% 72.06/10.90 thf(converse_cancellativity_11, axiom,
% 72.06/10.90 (( join @
% 72.06/10.90 ( composition @
% 72.06/10.90 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 72.06/10.90 ( complement @ B ) ) =
% 72.06/10.90 ( complement @ B ))).
% 72.06/10.90 thf(zip_derived_cl10, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((join @
% 72.06/10.90 (composition @ (converse @ X1) @
% 72.06/10.90 (complement @ (composition @ X1 @ X0))) @
% 72.06/10.90 (complement @ X0)) = (complement @ X0))),
% 72.06/10.90 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 72.06/10.90 thf(zip_derived_cl128, plain,
% 72.06/10.90 (![X0 : $i]:
% 72.06/10.90 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 72.06/10.90 (complement @ X0)) = (complement @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl10])).
% 72.06/10.90 thf(zip_derived_cl49, plain, (((one) = (converse @ one))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl5])).
% 72.06/10.90 thf(zip_derived_cl68, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl49])).
% 72.06/10.90 thf(zip_derived_cl133, plain,
% 72.06/10.90 (![X0 : $i]:
% 72.06/10.90 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl128, zip_derived_cl49, zip_derived_cl68])).
% 72.06/10.90 thf(zip_derived_cl2522, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ X0 @ (join @ X1 @ X2))
% 72.06/10.90 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 72.06/10.90 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl6, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ (join @ X0 @ X2) @ X1)
% 72.06/10.90 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 72.06/10.90 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 72.06/10.90 thf(zip_derived_cl2544, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((composition @ (join @ X1 @ X1) @ X0)
% 72.06/10.90 = (composition @ X1 @ (join @ X0 @ X0)))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl2522, zip_derived_cl6])).
% 72.06/10.90 thf(zip_derived_cl3851, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]:
% 72.06/10.90 ((composition @ (complement @ X0) @ X1)
% 72.06/10.90 = (composition @ (complement @ X0) @ (join @ X1 @ X1)))),
% 72.06/10.90 inference('s_sup+', [status(thm)],
% 72.06/10.90 [zip_derived_cl133, zip_derived_cl2544])).
% 72.06/10.90 thf(zip_derived_cl4898, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ (meet @ X1 @ X0) @ X2)
% 72.06/10.90 = (composition @ (meet @ X1 @ X0) @ (join @ X2 @ X2)))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3851])).
% 72.06/10.90 thf(zip_derived_cl2522, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ X0 @ (join @ X1 @ X2))
% 72.06/10.90 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 72.06/10.90 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl5217, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 72.06/10.90 ((composition @ (meet @ X2 @ X1) @ (join @ (join @ X0 @ X0) @ X3))
% 72.06/10.90 = (join @ (composition @ (meet @ X2 @ X1) @ X3) @
% 72.06/10.90 (composition @ (meet @ X2 @ X1) @ X0)))),
% 72.06/10.90 inference('s_sup+', [status(thm)],
% 72.06/10.90 [zip_derived_cl4898, zip_derived_cl2522])).
% 72.06/10.90 thf(maddux2_join_associativity_2, axiom,
% 72.06/10.90 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 72.06/10.90 thf(zip_derived_cl1, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 72.06/10.90 thf(zip_derived_cl2522, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 72.06/10.90 ((composition @ X0 @ (join @ X1 @ X2))
% 72.06/10.90 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 72.06/10.90 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 72.06/10.90 thf(zip_derived_cl5288, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 72.06/10.90 ((composition @ (meet @ X2 @ X1) @ (join @ X0 @ (join @ X0 @ X3)))
% 72.06/10.90 = (composition @ (meet @ X2 @ X1) @ (join @ X0 @ X3)))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl5217, zip_derived_cl1, zip_derived_cl2522])).
% 72.06/10.90 thf(zip_derived_cl23550, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 72.06/10.90 ((composition @ (meet @ X3 @ X2) @ (join @ (meet @ X0 @ X1) @ X0))
% 72.06/10.90 = (composition @ (meet @ X3 @ X2) @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl5288])).
% 72.06/10.90 thf(zip_derived_cl0, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 72.06/10.90 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 72.06/10.90 thf(zip_derived_cl23658, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 72.06/10.90 ((composition @ (meet @ X3 @ X2) @ (join @ X0 @ (meet @ X0 @ X1)))
% 72.06/10.90 = (composition @ (meet @ X3 @ X2) @ X0))),
% 72.06/10.90 inference('demod', [status(thm)], [zip_derived_cl23550, zip_derived_cl0])).
% 72.06/10.90 thf(zip_derived_cl33167, plain,
% 72.06/10.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 72.06/10.90 ((composition @ (meet @ X3 @ X2) @ (join @ X0 @ (meet @ X1 @ X0)))
% 72.06/10.90 = (composition @ (meet @ X3 @ X2) @ X0))),
% 72.06/10.90 inference('s_sup+', [status(thm)],
% 72.06/10.90 [zip_derived_cl2077, zip_derived_cl23658])).
% 72.06/10.90 thf(zip_derived_cl34722, plain,
% 72.06/10.90 (((composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3)
% 72.06/10.90 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 72.06/10.90 inference('demod', [status(thm)],
% 72.06/10.90 [zip_derived_cl2523, zip_derived_cl33167])).
% 72.06/10.90 thf(zip_derived_cl34723, plain, ($false),
% 72.06/10.90 inference('simplify', [status(thm)], [zip_derived_cl34722])).
% 72.06/10.90
% 72.06/10.90 % SZS output end Refutation
% 72.06/10.90
% 72.06/10.90
% 72.06/10.90 % Terminating...
% 72.47/10.99 % Runner terminated.
% 72.47/11.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------