TSTP Solution File: REL024-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL024-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aM1xjKXfsl 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 13:47:15 EDT 2023
% Result : Unsatisfiable 74.46s 11.26s
% Output : Refutation 74.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL024-2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aM1xjKXfsl true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 19:57:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 74.46/11.26 % Solved by fo/fo6_bce.sh.
% 74.46/11.26 % BCE start: 17
% 74.46/11.26 % BCE eliminated: 0
% 74.46/11.26 % PE start: 17
% 74.46/11.26 logic: eq
% 74.46/11.26 % PE eliminated: 0
% 74.46/11.26 % done 874 iterations in 10.513s
% 74.46/11.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 74.46/11.26 % SZS output start Refutation
% 74.46/11.26 thf(composition_type, type, composition: $i > $i > $i).
% 74.46/11.26 thf(meet_type, type, meet: $i > $i > $i).
% 74.46/11.26 thf(complement_type, type, complement: $i > $i).
% 74.46/11.26 thf(sk1_type, type, sk1: $i).
% 74.46/11.26 thf(converse_type, type, converse: $i > $i).
% 74.46/11.26 thf(sk3_type, type, sk3: $i).
% 74.46/11.26 thf(join_type, type, join: $i > $i > $i).
% 74.46/11.26 thf(sk2_type, type, sk2: $i).
% 74.46/11.26 thf(one_type, type, one: $i).
% 74.46/11.26 thf(goals_17, conjecture,
% 74.46/11.26 (( join @
% 74.46/11.26 ( composition @
% 74.46/11.26 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 74.46/11.26 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) ) =
% 74.46/11.26 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ))).
% 74.46/11.26 thf(zf_stmt_0, negated_conjecture,
% 74.46/11.26 (( join @
% 74.46/11.26 ( composition @
% 74.46/11.26 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 74.46/11.26 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 ) ) !=
% 74.46/11.26 ( composition @ ( meet @ sk1 @ ( converse @ sk2 ) ) @ sk3 )),
% 74.46/11.26 inference('cnf.neg', [status(esa)], [goals_17])).
% 74.46/11.26 thf(zip_derived_cl16, plain,
% 74.46/11.26 (((join @
% 74.46/11.26 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)) @
% 74.46/11.26 (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))
% 74.46/11.26 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 74.46/11.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 74.46/11.26 thf(maddux1_join_commutativity_1, axiom,
% 74.46/11.26 (( join @ A @ B ) = ( join @ B @ A ))).
% 74.46/11.26 thf(zip_derived_cl0, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 74.46/11.26 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 74.46/11.26 thf(zip_derived_cl19, plain,
% 74.46/11.26 (((join @ (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3) @
% 74.46/11.26 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)))
% 74.46/11.26 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 74.46/11.26 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 74.46/11.26 thf(converse_multiplicativity_10, axiom,
% 74.46/11.26 (( converse @ ( composition @ A @ B ) ) =
% 74.46/11.26 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 74.46/11.26 thf(zip_derived_cl9, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i]:
% 74.46/11.26 ((converse @ (composition @ X1 @ X0))
% 74.46/11.26 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 74.46/11.26 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 74.46/11.26 thf(composition_distributivity_7, axiom,
% 74.46/11.26 (( composition @ ( join @ A @ B ) @ C ) =
% 74.46/11.26 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 74.46/11.26 thf(zip_derived_cl6, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.26 ((composition @ (join @ X0 @ X2) @ X1)
% 74.46/11.26 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 74.46/11.26 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 74.46/11.26 thf(zip_derived_cl111, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.26 ((composition @ (join @ X2 @ (converse @ X0)) @ (converse @ X1))
% 74.46/11.26 = (join @ (composition @ X2 @ (converse @ X1)) @
% 74.46/11.26 (converse @ (composition @ X1 @ X0))))),
% 74.46/11.26 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 74.46/11.26 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 74.46/11.26 thf(zip_derived_cl7, plain,
% 74.46/11.26 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 74.46/11.26 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 74.46/11.26 thf(zip_derived_cl9, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i]:
% 74.46/11.26 ((converse @ (composition @ X1 @ X0))
% 74.46/11.26 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 74.46/11.26 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 74.46/11.26 thf(zip_derived_cl24, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i]:
% 74.46/11.26 ((converse @ (composition @ (converse @ X0) @ X1))
% 74.46/11.26 = (composition @ (converse @ X1) @ X0))),
% 74.46/11.26 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 74.46/11.26 thf(converse_additivity_9, axiom,
% 74.46/11.26 (( converse @ ( join @ A @ B ) ) =
% 74.46/11.26 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 74.46/11.26 thf(zip_derived_cl8, plain,
% 74.46/11.26 (![X0 : $i, X1 : $i]:
% 74.46/11.26 ((converse @ (join @ X0 @ X1))
% 74.46/11.26 = (join @ (converse @ X0) @ (converse @ X1)))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_additivity_9])).
% 74.46/11.27 thf(zip_derived_cl38, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((converse @ (join @ (composition @ (converse @ X0) @ X1) @ X2))
% 74.46/11.27 = (join @ (composition @ (converse @ X1) @ X0) @ (converse @ X2)))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl8])).
% 74.46/11.27 thf(zip_derived_cl2444, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((converse @
% 74.46/11.27 (composition @ (join @ (converse @ X2) @ (converse @ X1)) @
% 74.46/11.27 (converse @ X0)))
% 74.46/11.27 = (join @ (composition @ (converse @ (converse @ X0)) @ X2) @
% 74.46/11.27 (converse @ (converse @ (composition @ X0 @ X1)))))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl38])).
% 74.46/11.27 thf(zip_derived_cl8, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((converse @ (join @ X0 @ X1))
% 74.46/11.27 = (join @ (converse @ X0) @ (converse @ X1)))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_additivity_9])).
% 74.46/11.27 thf(zip_derived_cl0, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 74.46/11.27 thf(zip_derived_cl20, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((join @ (converse @ X0) @ (converse @ X1))
% 74.46/11.27 = (converse @ (join @ X1 @ X0)))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 74.46/11.27 thf(zip_derived_cl9, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((converse @ (composition @ X1 @ X0))
% 74.46/11.27 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 74.46/11.27 thf(zip_derived_cl7, plain,
% 74.46/11.27 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 74.46/11.27 thf(zip_derived_cl7, plain,
% 74.46/11.27 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 74.46/11.27 thf(zip_derived_cl7, plain,
% 74.46/11.27 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 74.46/11.27 thf(zip_derived_cl2522, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ X0 @ (join @ X1 @ X2))
% 74.46/11.27 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 74.46/11.27 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl0, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 74.46/11.27 thf(zip_derived_cl2523, plain,
% 74.46/11.27 (((composition @ (meet @ sk1 @ (converse @ sk2)) @
% 74.46/11.27 (join @ sk3 @ (meet @ sk2 @ sk3)))
% 74.46/11.27 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl19, zip_derived_cl2522, zip_derived_cl0])).
% 74.46/11.27 thf(zip_derived_cl0, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 74.46/11.27 thf(maddux4_definiton_of_meet_4, axiom,
% 74.46/11.27 (( meet @ A @ B ) =
% 74.46/11.27 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 74.46/11.27 thf(zip_derived_cl3, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((meet @ X0 @ X1)
% 74.46/11.27 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 74.46/11.27 thf(zip_derived_cl84, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((meet @ X0 @ X1)
% 74.46/11.27 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 74.46/11.27 thf(zip_derived_cl3, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((meet @ X0 @ X1)
% 74.46/11.27 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 74.46/11.27 thf(zip_derived_cl2077, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl3])).
% 74.46/11.27 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 74.46/11.27 (( A ) =
% 74.46/11.27 ( join @
% 74.46/11.27 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 74.46/11.27 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 74.46/11.27 thf(zip_derived_cl2, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((X0)
% 74.46/11.27 = (join @
% 74.46/11.27 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 74.46/11.27 (complement @ (join @ (complement @ X0) @ X1))))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 74.46/11.27 thf(zip_derived_cl3, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((meet @ X0 @ X1)
% 74.46/11.27 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 74.46/11.27 thf(zip_derived_cl79, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((X0)
% 74.46/11.27 = (join @ (meet @ X0 @ X1) @
% 74.46/11.27 (complement @ (join @ (complement @ X0) @ X1))))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 74.46/11.27 thf(zip_derived_cl3, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((meet @ X0 @ X1)
% 74.46/11.27 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 74.46/11.27 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 74.46/11.27 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [composition_identity_6])).
% 74.46/11.27 thf(zip_derived_cl24, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((converse @ (composition @ (converse @ X0) @ X1))
% 74.46/11.27 = (composition @ (converse @ X1) @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 74.46/11.27 thf(zip_derived_cl43, plain,
% 74.46/11.27 (![X0 : $i]:
% 74.46/11.27 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl24])).
% 74.46/11.27 thf(zip_derived_cl7, plain,
% 74.46/11.27 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 74.46/11.27 thf(zip_derived_cl47, plain,
% 74.46/11.27 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl47, plain,
% 74.46/11.27 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [composition_identity_6])).
% 74.46/11.27 thf(zip_derived_cl49, plain, (((one) = (converse @ one))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl5])).
% 74.46/11.27 thf(zip_derived_cl68, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl49])).
% 74.46/11.27 thf(converse_cancellativity_11, axiom,
% 74.46/11.27 (( join @
% 74.46/11.27 ( composition @
% 74.46/11.27 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 74.46/11.27 ( complement @ B ) ) =
% 74.46/11.27 ( complement @ B ))).
% 74.46/11.27 thf(zip_derived_cl10, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((join @
% 74.46/11.27 (composition @ (converse @ X1) @
% 74.46/11.27 (complement @ (composition @ X1 @ X0))) @
% 74.46/11.27 (complement @ X0)) = (complement @ X0))),
% 74.46/11.27 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 74.46/11.27 thf(zip_derived_cl128, plain,
% 74.46/11.27 (![X0 : $i]:
% 74.46/11.27 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 74.46/11.27 (complement @ X0)) = (complement @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl10])).
% 74.46/11.27 thf(zip_derived_cl49, plain, (((one) = (converse @ one))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl5])).
% 74.46/11.27 thf(zip_derived_cl68, plain, (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl49])).
% 74.46/11.27 thf(zip_derived_cl133, plain,
% 74.46/11.27 (![X0 : $i]:
% 74.46/11.27 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl128, zip_derived_cl49, zip_derived_cl68])).
% 74.46/11.27 thf(zip_derived_cl2522, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ X0 @ (join @ X1 @ X2))
% 74.46/11.27 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 74.46/11.27 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl6, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ (join @ X0 @ X2) @ X1)
% 74.46/11.27 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 74.46/11.27 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 74.46/11.27 thf(zip_derived_cl2544, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((composition @ (join @ X1 @ X1) @ X0)
% 74.46/11.27 = (composition @ X1 @ (join @ X0 @ X0)))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl2522, zip_derived_cl6])).
% 74.46/11.27 thf(zip_derived_cl3851, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]:
% 74.46/11.27 ((composition @ (complement @ X0) @ X1)
% 74.46/11.27 = (composition @ (complement @ X0) @ (join @ X1 @ X1)))),
% 74.46/11.27 inference('s_sup+', [status(thm)],
% 74.46/11.27 [zip_derived_cl133, zip_derived_cl2544])).
% 74.46/11.27 thf(zip_derived_cl4898, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ (meet @ X1 @ X0) @ X2)
% 74.46/11.27 = (composition @ (meet @ X1 @ X0) @ (join @ X2 @ X2)))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3851])).
% 74.46/11.27 thf(zip_derived_cl2522, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ X0 @ (join @ X1 @ X2))
% 74.46/11.27 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 74.46/11.27 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl5217, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.46/11.27 ((composition @ (meet @ X2 @ X1) @ (join @ (join @ X0 @ X0) @ X3))
% 74.46/11.27 = (join @ (composition @ (meet @ X2 @ X1) @ X3) @
% 74.46/11.27 (composition @ (meet @ X2 @ X1) @ X0)))),
% 74.46/11.27 inference('s_sup+', [status(thm)],
% 74.46/11.27 [zip_derived_cl4898, zip_derived_cl2522])).
% 74.46/11.27 thf(maddux2_join_associativity_2, axiom,
% 74.46/11.27 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 74.46/11.27 thf(zip_derived_cl1, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 74.46/11.27 thf(zip_derived_cl2522, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.46/11.27 ((composition @ X0 @ (join @ X1 @ X2))
% 74.46/11.27 = (join @ (composition @ X0 @ X2) @ (composition @ X0 @ X1)))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl2444, zip_derived_cl20, zip_derived_cl9,
% 74.46/11.27 zip_derived_cl7, zip_derived_cl7, zip_derived_cl7])).
% 74.46/11.27 thf(zip_derived_cl5288, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.46/11.27 ((composition @ (meet @ X2 @ X1) @ (join @ X0 @ (join @ X0 @ X3)))
% 74.46/11.27 = (composition @ (meet @ X2 @ X1) @ (join @ X0 @ X3)))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl5217, zip_derived_cl1, zip_derived_cl2522])).
% 74.46/11.27 thf(zip_derived_cl23550, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.46/11.27 ((composition @ (meet @ X3 @ X2) @ (join @ (meet @ X0 @ X1) @ X0))
% 74.46/11.27 = (composition @ (meet @ X3 @ X2) @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl5288])).
% 74.46/11.27 thf(zip_derived_cl0, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 74.46/11.27 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 74.46/11.27 thf(zip_derived_cl23658, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.46/11.27 ((composition @ (meet @ X3 @ X2) @ (join @ X0 @ (meet @ X0 @ X1)))
% 74.46/11.27 = (composition @ (meet @ X3 @ X2) @ X0))),
% 74.46/11.27 inference('demod', [status(thm)], [zip_derived_cl23550, zip_derived_cl0])).
% 74.46/11.27 thf(zip_derived_cl33167, plain,
% 74.46/11.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.46/11.27 ((composition @ (meet @ X3 @ X2) @ (join @ X0 @ (meet @ X1 @ X0)))
% 74.46/11.27 = (composition @ (meet @ X3 @ X2) @ X0))),
% 74.46/11.27 inference('s_sup+', [status(thm)],
% 74.46/11.27 [zip_derived_cl2077, zip_derived_cl23658])).
% 74.46/11.27 thf(zip_derived_cl34722, plain,
% 74.46/11.27 (((composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3)
% 74.46/11.27 != (composition @ (meet @ sk1 @ (converse @ sk2)) @ sk3))),
% 74.46/11.27 inference('demod', [status(thm)],
% 74.46/11.27 [zip_derived_cl2523, zip_derived_cl33167])).
% 74.46/11.27 thf(zip_derived_cl34723, plain, ($false),
% 74.46/11.27 inference('simplify', [status(thm)], [zip_derived_cl34722])).
% 74.46/11.27
% 74.46/11.27 % SZS output end Refutation
% 74.46/11.27
% 74.46/11.27
% 74.46/11.27 % Terminating...
% 75.32/11.38 % Runner terminated.
% 75.32/11.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------