TSTP Solution File: REL011-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL011-2 : 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.bUKIIhFzxs true
% Computer : n023.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 11.69s 2.26s
% Output : Refutation 11.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL011-2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bUKIIhFzxs true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 22:19:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 11.69/2.26 % Solved by fo/fo1_av.sh.
% 11.69/2.26 % done 909 iterations in 1.493s
% 11.69/2.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.69/2.26 % SZS output start Refutation
% 11.69/2.26 thf(composition_type, type, composition: $i > $i > $i).
% 11.69/2.26 thf(meet_type, type, meet: $i > $i > $i).
% 11.69/2.26 thf(complement_type, type, complement: $i > $i).
% 11.69/2.26 thf(sk1_type, type, sk1: $i).
% 11.69/2.26 thf(converse_type, type, converse: $i > $i).
% 11.69/2.26 thf(sk3_type, type, sk3: $i).
% 11.69/2.26 thf(top_type, type, top: $i).
% 11.69/2.26 thf(join_type, type, join: $i > $i > $i).
% 11.69/2.26 thf(zero_type, type, zero: $i).
% 11.69/2.26 thf(sk2_type, type, sk2: $i).
% 11.69/2.26 thf(one_type, type, one: $i).
% 11.69/2.26 thf(goals_17, conjecture,
% 11.69/2.26 (( meet @ sk1 @ ( composition @ ( converse @ sk2 ) @ sk3 ) ) != ( zero ))).
% 11.69/2.26 thf(zf_stmt_0, negated_conjecture,
% 11.69/2.26 (( meet @ sk1 @ ( composition @ ( converse @ sk2 ) @ sk3 ) ) = ( zero )),
% 11.69/2.26 inference('cnf.neg', [status(esa)], [goals_17])).
% 11.69/2.26 thf(zip_derived_cl16, plain,
% 11.69/2.26 (((meet @ sk1 @ (composition @ (converse @ sk2) @ sk3)) = (zero))),
% 11.69/2.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.69/2.26 thf(modular_law_1_15, axiom,
% 11.69/2.26 (( join @
% 11.69/2.26 ( meet @ ( composition @ A @ B ) @ C ) @
% 11.69/2.26 ( meet @
% 11.69/2.26 ( composition @
% 11.69/2.26 A @ ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ) @
% 11.69/2.26 C ) ) =
% 11.69/2.26 ( meet @
% 11.69/2.26 ( composition @
% 11.69/2.26 A @ ( meet @ B @ ( composition @ ( converse @ A ) @ C ) ) ) @
% 11.69/2.26 C ))).
% 11.69/2.26 thf(zip_derived_cl14, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((join @ (meet @ (composition @ X0 @ X1) @ X2) @
% 11.69/2.26 (meet @
% 11.69/2.26 (composition @ X0 @
% 11.69/2.26 (meet @ X1 @ (composition @ (converse @ X0) @ X2))) @
% 11.69/2.26 X2))
% 11.69/2.26 = (meet @
% 11.69/2.26 (composition @ X0 @
% 11.69/2.26 (meet @ X1 @ (composition @ (converse @ X0) @ X2))) @
% 11.69/2.26 X2))),
% 11.69/2.26 inference('cnf', [status(esa)], [modular_law_1_15])).
% 11.69/2.26 thf(zip_derived_cl335, plain,
% 11.69/2.26 (((join @ (meet @ (composition @ sk2 @ sk1) @ sk3) @
% 11.69/2.26 (meet @ (composition @ sk2 @ zero) @ sk3))
% 11.69/2.26 = (meet @ (composition @ sk2 @ zero) @ sk3))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl14])).
% 11.69/2.26 thf(maddux1_join_commutativity_1, axiom,
% 11.69/2.26 (( join @ A @ B ) = ( join @ B @ A ))).
% 11.69/2.26 thf(zip_derived_cl0, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.69/2.26 thf(maddux4_definiton_of_meet_4, axiom,
% 11.69/2.26 (( meet @ A @ B ) =
% 11.69/2.26 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl114, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X1) @ (complement @ X0))))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl3485, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl3485, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl0, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.69/2.26 thf(zip_derived_cl3485, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl3527, plain,
% 11.69/2.26 (((join @ (meet @ sk3 @ (composition @ sk2 @ zero)) @
% 11.69/2.26 (meet @ sk3 @ (composition @ sk2 @ sk1)))
% 11.69/2.26 = (meet @ sk3 @ (composition @ sk2 @ zero)))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl335, zip_derived_cl3485, zip_derived_cl3485,
% 11.69/2.26 zip_derived_cl0, zip_derived_cl3485])).
% 11.69/2.26 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 11.69/2.26 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.69/2.26 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 11.69/2.26 thf(zip_derived_cl7, plain,
% 11.69/2.26 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 11.69/2.26 thf(converse_multiplicativity_10, axiom,
% 11.69/2.26 (( converse @ ( composition @ A @ B ) ) =
% 11.69/2.26 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 11.69/2.26 thf(zip_derived_cl9, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((converse @ (composition @ X1 @ X0))
% 11.69/2.26 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 11.69/2.26 thf(zip_derived_cl53, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((converse @ (composition @ (converse @ X0) @ X1))
% 11.69/2.26 = (composition @ (converse @ X1) @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 11.69/2.26 thf(zip_derived_cl62, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 11.69/2.26 thf(zip_derived_cl7, plain,
% 11.69/2.26 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 11.69/2.26 thf(zip_derived_cl67, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 11.69/2.26 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.69/2.26 thf(zip_derived_cl75, plain, (((one) = (converse @ one))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl5])).
% 11.69/2.26 thf(converse_additivity_9, axiom,
% 11.69/2.26 (( converse @ ( join @ A @ B ) ) =
% 11.69/2.26 ( join @ ( converse @ A ) @ ( converse @ B ) ))).
% 11.69/2.26 thf(zip_derived_cl8, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((converse @ (join @ X0 @ X1))
% 11.69/2.26 = (join @ (converse @ X0) @ (converse @ X1)))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_additivity_9])).
% 11.69/2.26 thf(zip_derived_cl82, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((converse @ (join @ one @ X0)) = (join @ one @ (converse @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl8])).
% 11.69/2.26 thf(zip_derived_cl7, plain,
% 11.69/2.26 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 11.69/2.26 thf(zip_derived_cl164, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((converse @ (join @ one @ (converse @ X0))) = (join @ one @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl7])).
% 11.69/2.26 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 11.69/2.26 thf(zip_derived_cl11, plain,
% 11.69/2.26 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_top_12])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl116, plain,
% 11.69/2.26 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 11.69/2.26 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 11.69/2.26 thf(zip_derived_cl12, plain,
% 11.69/2.26 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_zero_13])).
% 11.69/2.26 thf(zip_derived_cl119, plain, (((zero) = (complement @ top))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl12])).
% 11.69/2.26 thf(converse_cancellativity_11, axiom,
% 11.69/2.26 (( join @
% 11.69/2.26 ( composition @
% 11.69/2.26 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 11.69/2.26 ( complement @ B ) ) =
% 11.69/2.26 ( complement @ B ))).
% 11.69/2.26 thf(zip_derived_cl10, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((join @
% 11.69/2.26 (composition @ (converse @ X1) @
% 11.69/2.26 (complement @ (composition @ X1 @ X0))) @
% 11.69/2.26 (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 11.69/2.26 thf(zip_derived_cl204, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @
% 11.69/2.26 (composition @ (converse @ X0) @
% 11.69/2.26 (complement @ (composition @ X0 @ top))) @
% 11.69/2.26 zero) = (zero))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl10])).
% 11.69/2.26 thf(zip_derived_cl10128, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @
% 11.69/2.26 (composition @ (join @ one @ X0) @
% 11.69/2.26 (complement @ (composition @ (join @ one @ (converse @ X0)) @ top))) @
% 11.69/2.26 zero) = (zero))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl204])).
% 11.69/2.26 thf(zip_derived_cl67, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 11.69/2.26 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.69/2.26 thf(composition_associativity_5, axiom,
% 11.69/2.26 (( composition @ A @ ( composition @ B @ C ) ) =
% 11.69/2.26 ( composition @ ( composition @ A @ B ) @ C ))).
% 11.69/2.26 thf(zip_derived_cl4, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((composition @ X0 @ (composition @ X1 @ X2))
% 11.69/2.26 = (composition @ (composition @ X0 @ X1) @ X2))),
% 11.69/2.26 inference('cnf', [status(esa)], [composition_associativity_5])).
% 11.69/2.26 thf(zip_derived_cl32, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((composition @ X0 @ (composition @ one @ X1))
% 11.69/2.26 = (composition @ X0 @ X1))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 11.69/2.26 thf(zip_derived_cl74, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((composition @ one @ X0) = (composition @ (converse @ one) @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl32])).
% 11.69/2.26 thf(zip_derived_cl67, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 11.69/2.26 thf(zip_derived_cl78, plain, (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl67])).
% 11.69/2.26 thf(composition_distributivity_7, axiom,
% 11.69/2.26 (( composition @ ( join @ A @ B ) @ C ) =
% 11.69/2.26 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 11.69/2.26 thf(zip_derived_cl6, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((composition @ (join @ X0 @ X2) @ X1)
% 11.69/2.26 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 11.69/2.26 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 11.69/2.26 thf(zip_derived_cl160, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((composition @ (join @ one @ X1) @ X0)
% 11.69/2.26 = (join @ X0 @ (composition @ X1 @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl6])).
% 11.69/2.26 thf(zip_derived_cl78, plain, (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl67])).
% 11.69/2.26 thf(zip_derived_cl10, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((join @
% 11.69/2.26 (composition @ (converse @ X1) @
% 11.69/2.26 (complement @ (composition @ X1 @ X0))) @
% 11.69/2.26 (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 11.69/2.26 thf(zip_derived_cl207, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 11.69/2.26 (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl10])).
% 11.69/2.26 thf(zip_derived_cl75, plain, (((one) = (converse @ one))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl5])).
% 11.69/2.26 thf(zip_derived_cl78, plain, (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl67])).
% 11.69/2.26 thf(zip_derived_cl215, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl207, zip_derived_cl75, zip_derived_cl78])).
% 11.69/2.26 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 11.69/2.26 (( A ) =
% 11.69/2.26 ( join @
% 11.69/2.26 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 11.69/2.26 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 11.69/2.26 thf(zip_derived_cl2, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((X0)
% 11.69/2.26 = (join @
% 11.69/2.26 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 11.69/2.26 (complement @ (join @ (complement @ X0) @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl109, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((X0)
% 11.69/2.26 = (join @ (meet @ X0 @ X1) @
% 11.69/2.26 (complement @ (join @ (complement @ X0) @ X1))))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl226, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((X0)
% 11.69/2.26 = (join @ (meet @ X0 @ (complement @ X0)) @
% 11.69/2.26 (complement @ (complement @ X0))))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl109])).
% 11.69/2.26 thf(zip_derived_cl12, plain,
% 11.69/2.26 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_zero_13])).
% 11.69/2.26 thf(zip_derived_cl232, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl12])).
% 11.69/2.26 thf(zip_derived_cl119, plain, (((zero) = (complement @ top))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl12])).
% 11.69/2.26 thf(zip_derived_cl215, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl207, zip_derived_cl75, zip_derived_cl78])).
% 11.69/2.26 thf(zip_derived_cl229, plain, (((join @ zero @ zero) = (zero))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl215])).
% 11.69/2.26 thf(maddux2_join_associativity_2, axiom,
% 11.69/2.26 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 11.69/2.26 thf(zip_derived_cl1, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.69/2.26 thf(zip_derived_cl235, plain,
% 11.69/2.26 (![X0 : $i]: ((join @ zero @ (join @ zero @ X0)) = (join @ zero @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl1])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl232, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl12])).
% 11.69/2.26 thf(zip_derived_cl563, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl232])).
% 11.69/2.26 thf(zip_derived_cl215, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl207, zip_derived_cl75, zip_derived_cl78])).
% 11.69/2.26 thf(zip_derived_cl766, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl215])).
% 11.69/2.26 thf(zip_derived_cl11, plain,
% 11.69/2.26 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_top_12])).
% 11.69/2.26 thf(zip_derived_cl1, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.69/2.26 thf(zip_derived_cl23, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 11.69/2.26 thf(zip_derived_cl785, plain,
% 11.69/2.26 (![X0 : $i]: ((join @ X0 @ (join @ X0 @ (complement @ X0))) = (top))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl766, zip_derived_cl23])).
% 11.69/2.26 thf(zip_derived_cl11, plain,
% 11.69/2.26 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_top_12])).
% 11.69/2.26 thf(zip_derived_cl798, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl785, zip_derived_cl11])).
% 11.69/2.26 thf(zip_derived_cl0, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.69/2.26 thf(zip_derived_cl863, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl798, zip_derived_cl0])).
% 11.69/2.26 thf(zip_derived_cl119, plain, (((zero) = (complement @ top))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl12])).
% 11.69/2.26 thf(zip_derived_cl160, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((composition @ (join @ one @ X1) @ X0)
% 11.69/2.26 = (join @ X0 @ (composition @ X1 @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl6])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl0, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.69/2.26 thf(zip_derived_cl552, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl0])).
% 11.69/2.26 thf(zip_derived_cl10158, plain,
% 11.69/2.26 (![X0 : $i]: ((composition @ X0 @ zero) = (zero))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl10128, zip_derived_cl160, zip_derived_cl863,
% 11.69/2.26 zip_derived_cl119, zip_derived_cl160, zip_derived_cl544,
% 11.69/2.26 zip_derived_cl552])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl11, plain,
% 11.69/2.26 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_top_12])).
% 11.69/2.26 thf(zip_derived_cl559, plain, (((top) = (complement @ zero))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl11])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl12, plain,
% 11.69/2.26 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_zero_13])).
% 11.69/2.26 thf(zip_derived_cl112, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((zero)
% 11.69/2.26 = (meet @ (join @ (complement @ X1) @ (complement @ X0)) @
% 11.69/2.26 (meet @ X1 @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 11.69/2.26 thf(zip_derived_cl3137, plain,
% 11.69/2.26 (![X0 : $i]:
% 11.69/2.26 ((zero)
% 11.69/2.26 = (meet @ (join @ (complement @ X0) @ top) @ (meet @ X0 @ zero)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl112])).
% 11.69/2.26 thf(zip_derived_cl798, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl785, zip_derived_cl11])).
% 11.69/2.26 thf(zip_derived_cl11, plain,
% 11.69/2.26 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_top_12])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl3, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ X0 @ X1)
% 11.69/2.26 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.69/2.26 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.69/2.26 thf(zip_derived_cl110, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.69/2.26 ((meet @ (join @ (complement @ X1) @ (complement @ X0)) @ X2)
% 11.69/2.26 = (complement @ (join @ (meet @ X1 @ X0) @ (complement @ X2))))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl2698, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]:
% 11.69/2.26 ((meet @ top @ X0)
% 11.69/2.26 = (complement @
% 11.69/2.26 (join @ (meet @ X1 @ (complement @ X1)) @ (complement @ X0))))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl110])).
% 11.69/2.26 thf(zip_derived_cl12, plain,
% 11.69/2.26 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.69/2.26 inference('cnf', [status(esa)], [def_zero_13])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl563, plain,
% 11.69/2.26 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl232])).
% 11.69/2.26 thf(zip_derived_cl2713, plain, (![X0 : $i]: ((meet @ top @ X0) = (X0))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl2698, zip_derived_cl12, zip_derived_cl544,
% 11.69/2.26 zip_derived_cl563])).
% 11.69/2.26 thf(zip_derived_cl3157, plain, (![X0 : $i]: ((zero) = (meet @ X0 @ zero))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl3137, zip_derived_cl798, zip_derived_cl2713])).
% 11.69/2.26 thf(zip_derived_cl544, plain, (![X0 : $i]: ((join @ zero @ X0) = (X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl235])).
% 11.69/2.26 thf(zip_derived_cl10158, plain,
% 11.69/2.26 (![X0 : $i]: ((composition @ X0 @ zero) = (zero))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl10128, zip_derived_cl160, zip_derived_cl863,
% 11.69/2.26 zip_derived_cl119, zip_derived_cl160, zip_derived_cl544,
% 11.69/2.26 zip_derived_cl552])).
% 11.69/2.26 thf(zip_derived_cl3157, plain, (![X0 : $i]: ((zero) = (meet @ X0 @ zero))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl3137, zip_derived_cl798, zip_derived_cl2713])).
% 11.69/2.26 thf(zip_derived_cl10200, plain,
% 11.69/2.26 (((meet @ sk3 @ (composition @ sk2 @ sk1)) = (zero))),
% 11.69/2.26 inference('demod', [status(thm)],
% 11.69/2.26 [zip_derived_cl3527, zip_derived_cl10158, zip_derived_cl3157,
% 11.69/2.26 zip_derived_cl544, zip_derived_cl10158, zip_derived_cl3157])).
% 11.69/2.26 thf(goals_18, conjecture,
% 11.69/2.26 (( meet @ ( composition @ sk2 @ sk1 ) @ sk3 ) = ( zero ))).
% 11.69/2.26 thf(zf_stmt_1, negated_conjecture,
% 11.69/2.26 (( meet @ ( composition @ sk2 @ sk1 ) @ sk3 ) != ( zero )),
% 11.69/2.26 inference('cnf.neg', [status(esa)], [goals_18])).
% 11.69/2.26 thf(zip_derived_cl17, plain,
% 11.69/2.26 (((meet @ (composition @ sk2 @ sk1) @ sk3) != (zero))),
% 11.69/2.26 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.69/2.26 thf(zip_derived_cl3485, plain,
% 11.69/2.26 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 11.69/2.26 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl3])).
% 11.69/2.26 thf(zip_derived_cl3525, plain,
% 11.69/2.26 (((meet @ sk3 @ (composition @ sk2 @ sk1)) != (zero))),
% 11.69/2.26 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl3485])).
% 11.69/2.26 thf(zip_derived_cl10201, plain, ($false),
% 11.69/2.26 inference('simplify_reflect-', [status(thm)],
% 11.69/2.26 [zip_derived_cl10200, zip_derived_cl3525])).
% 11.69/2.26
% 11.69/2.26 % SZS output end Refutation
% 11.69/2.26
% 11.69/2.26
% 11.69/2.26 % Terminating...
% 12.09/2.34 % Runner terminated.
% 12.09/2.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------