TSTP Solution File: REL023-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.15GCJeaecf 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 Aug 31 13:47:14 EDT 2023
% Result : Unsatisfiable 1.75s 1.16s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.15GCJeaecf true
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 22:18:19 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.75/1.16 % Solved by fo/fo4.sh.
% 1.75/1.16 % done 340 iterations in 0.363s
% 1.75/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.75/1.16 % SZS output start Refutation
% 1.75/1.16 thf(composition_type, type, composition: $i > $i > $i).
% 1.75/1.16 thf(meet_type, type, meet: $i > $i > $i).
% 1.75/1.16 thf(sk3_type, type, sk3: $i).
% 1.75/1.16 thf(complement_type, type, complement: $i > $i).
% 1.75/1.16 thf(converse_type, type, converse: $i > $i).
% 1.75/1.16 thf(sk2_type, type, sk2: $i).
% 1.75/1.16 thf(top_type, type, top: $i).
% 1.75/1.16 thf(join_type, type, join: $i > $i > $i).
% 1.75/1.16 thf(zero_type, type, zero: $i).
% 1.75/1.16 thf(sk1_type, type, sk1: $i).
% 1.75/1.16 thf(one_type, type, one: $i).
% 1.75/1.16 thf(goals_14, conjecture,
% 1.75/1.16 (( join @
% 1.75/1.16 ( composition @
% 1.75/1.16 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 1.75/1.16 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ) ) =
% 1.75/1.16 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ))).
% 1.75/1.16 thf(zf_stmt_0, negated_conjecture,
% 1.75/1.16 (( join @
% 1.75/1.16 ( composition @
% 1.75/1.16 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 1.75/1.16 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ) ) !=
% 1.75/1.16 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) )),
% 1.75/1.16 inference('cnf.neg', [status(esa)], [goals_14])).
% 1.75/1.16 thf(zip_derived_cl13, plain,
% 1.75/1.16 (((join @
% 1.75/1.16 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)) @
% 1.75/1.16 (composition @ sk1 @ (meet @ sk2 @ sk3)))
% 1.75/1.16 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 1.75/1.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.75/1.16 thf(maddux1_join_commutativity_1, axiom,
% 1.75/1.16 (( join @ A @ B ) = ( join @ B @ A ))).
% 1.75/1.16 thf(zip_derived_cl0, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.75/1.16 thf(zip_derived_cl16, plain,
% 1.75/1.16 (((join @ (composition @ sk1 @ (meet @ sk2 @ sk3)) @
% 1.75/1.16 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)))
% 1.75/1.16 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 1.75/1.16 thf(composition_distributivity_7, axiom,
% 1.75/1.16 (( composition @ ( join @ A @ B ) @ C ) =
% 1.75/1.16 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 1.75/1.16 thf(zip_derived_cl6, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/1.16 ((composition @ (join @ X0 @ X2) @ X1)
% 1.75/1.16 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 1.75/1.16 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 1.75/1.16 thf(zip_derived_cl173, plain,
% 1.75/1.16 (((composition @ (join @ sk1 @ (meet @ sk1 @ (converse @ sk2))) @
% 1.75/1.16 (meet @ sk2 @ sk3)) != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl6])).
% 1.75/1.16 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 1.75/1.16 (( A ) =
% 1.75/1.16 ( join @
% 1.75/1.16 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 1.75/1.16 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 1.75/1.16 thf(zip_derived_cl2, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 1.75/1.16 thf(maddux4_definiton_of_meet_4, axiom,
% 1.75/1.16 (( meet @ A @ B ) =
% 1.75/1.16 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 1.75/1.16 thf(zip_derived_cl3, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((meet @ X0 @ X1)
% 1.75/1.16 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.75/1.16 thf(zip_derived_cl205, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.75/1.16 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 1.75/1.16 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.75/1.16 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.75/1.16 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 1.75/1.16 thf(zip_derived_cl7, plain,
% 1.75/1.16 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.75/1.16 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.75/1.16 thf(converse_multiplicativity_10, axiom,
% 1.75/1.16 (( converse @ ( composition @ A @ B ) ) =
% 1.75/1.16 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 1.75/1.16 thf(zip_derived_cl9, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((converse @ (composition @ X1 @ X0))
% 1.75/1.16 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 1.75/1.16 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 1.75/1.16 thf(zip_derived_cl21, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((converse @ (composition @ (converse @ X0) @ X1))
% 1.75/1.16 = (composition @ (converse @ X1) @ X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 1.75/1.16 thf(zip_derived_cl124, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 1.75/1.16 thf(zip_derived_cl7, plain,
% 1.75/1.16 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 1.75/1.16 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 1.75/1.16 thf(zip_derived_cl130, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl7])).
% 1.75/1.16 thf(zip_derived_cl130, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl7])).
% 1.75/1.16 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 1.75/1.16 inference('cnf', [status(esa)], [composition_identity_6])).
% 1.75/1.16 thf(zip_derived_cl132, plain, (((one) = (converse @ one))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl5])).
% 1.75/1.16 thf(zip_derived_cl136, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl132])).
% 1.75/1.16 thf(converse_cancellativity_11, axiom,
% 1.75/1.16 (( join @
% 1.75/1.16 ( composition @
% 1.75/1.16 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 1.75/1.16 ( complement @ B ) ) =
% 1.75/1.16 ( complement @ B ))).
% 1.75/1.16 thf(zip_derived_cl10, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((join @
% 1.75/1.16 (composition @ (converse @ X1) @
% 1.75/1.16 (complement @ (composition @ X1 @ X0))) @
% 1.75/1.16 (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 1.75/1.16 thf(zip_derived_cl193, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 1.75/1.16 (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl10])).
% 1.75/1.16 thf(zip_derived_cl132, plain, (((one) = (converse @ one))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl5])).
% 1.75/1.16 thf(zip_derived_cl136, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl132])).
% 1.75/1.16 thf(zip_derived_cl201, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl193, zip_derived_cl132, zip_derived_cl136])).
% 1.75/1.16 thf(zip_derived_cl3, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((meet @ X0 @ X1)
% 1.75/1.16 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.75/1.16 thf(zip_derived_cl302, plain,
% 1.75/1.16 (![X0 : $i]: ((meet @ X0 @ X0) = (complement @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl3])).
% 1.75/1.16 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 1.75/1.16 thf(zip_derived_cl12, plain,
% 1.75/1.16 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_zero_13])).
% 1.75/1.16 thf(zip_derived_cl205, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl213, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ zero @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ (complement @ X0)))))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl205])).
% 1.75/1.16 thf(zip_derived_cl3, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((meet @ X0 @ X1)
% 1.75/1.16 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.75/1.16 thf(zip_derived_cl214, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ X0)))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl0, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.75/1.16 thf(zip_derived_cl292, plain,
% 1.75/1.16 (![X0 : $i]: ((join @ (meet @ X0 @ X0) @ zero) = (X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 1.75/1.16 thf(zip_derived_cl401, plain,
% 1.75/1.16 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl292])).
% 1.75/1.16 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 1.75/1.16 thf(zip_derived_cl11, plain,
% 1.75/1.16 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_top_12])).
% 1.75/1.16 thf(zip_derived_cl3, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((meet @ X0 @ X1)
% 1.75/1.16 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.75/1.16 thf(zip_derived_cl169, plain,
% 1.75/1.16 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl12, plain,
% 1.75/1.16 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_zero_13])).
% 1.75/1.16 thf(zip_derived_cl172, plain, (((zero) = (complement @ top))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl12])).
% 1.75/1.16 thf(zip_derived_cl3, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((meet @ X0 @ X1)
% 1.75/1.16 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 1.75/1.16 thf(zip_derived_cl221, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl1104, plain,
% 1.75/1.16 (![X0 : $i]: ((meet @ (complement @ X0) @ top) = (complement @ X0))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl401, zip_derived_cl221])).
% 1.75/1.16 thf(zip_derived_cl201, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl193, zip_derived_cl132, zip_derived_cl136])).
% 1.75/1.16 thf(zip_derived_cl11, plain,
% 1.75/1.16 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_top_12])).
% 1.75/1.16 thf(maddux2_join_associativity_2, axiom,
% 1.75/1.16 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 1.75/1.16 thf(zip_derived_cl1, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/1.16 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.75/1.16 thf(zip_derived_cl31, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.75/1.16 thf(zip_derived_cl1172, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ X0) @
% 1.75/1.16 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 1.75/1.16 = (top))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl31])).
% 1.75/1.16 thf(zip_derived_cl11, plain,
% 1.75/1.16 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_top_12])).
% 1.75/1.16 thf(zip_derived_cl1202, plain,
% 1.75/1.16 (![X0 : $i]: ((join @ (complement @ X0) @ top) = (top))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl1172, zip_derived_cl11])).
% 1.75/1.16 thf(zip_derived_cl205, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl1272, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (join @ (meet @ X0 @ top) @ (complement @ top)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1202, zip_derived_cl205])).
% 1.75/1.16 thf(zip_derived_cl172, plain, (((zero) = (complement @ top))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl12])).
% 1.75/1.16 thf(zip_derived_cl0, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.75/1.16 thf(zip_derived_cl1279, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ top)))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl1272, zip_derived_cl172, zip_derived_cl0])).
% 1.75/1.16 thf(zip_derived_cl1713, plain,
% 1.75/1.16 (![X0 : $i]: ((complement @ X0) = (join @ zero @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl1279])).
% 1.75/1.16 thf(zip_derived_cl201, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl193, zip_derived_cl132, zip_derived_cl136])).
% 1.75/1.16 thf(zip_derived_cl205, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl301, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ (complement @ X0)) @
% 1.75/1.16 (complement @ (complement @ X0))))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl205])).
% 1.75/1.16 thf(zip_derived_cl12, plain,
% 1.75/1.16 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 1.75/1.16 inference('cnf', [status(esa)], [def_zero_13])).
% 1.75/1.16 thf(zip_derived_cl311, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl12])).
% 1.75/1.16 thf(zip_derived_cl1729, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1713, zip_derived_cl311])).
% 1.75/1.16 thf(zip_derived_cl201, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl193, zip_derived_cl132, zip_derived_cl136])).
% 1.75/1.16 thf(zip_derived_cl1780, plain,
% 1.75/1.16 (![X0 : $i]:
% 1.75/1.16 ((join @ (complement @ (complement @ X0)) @ X0)
% 1.75/1.16 = (complement @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1729, zip_derived_cl201])).
% 1.75/1.16 thf(zip_derived_cl1729, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1713, zip_derived_cl311])).
% 1.75/1.16 thf(zip_derived_cl1729, plain,
% 1.75/1.16 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1713, zip_derived_cl311])).
% 1.75/1.16 thf(zip_derived_cl1800, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl1780, zip_derived_cl1729, zip_derived_cl1729])).
% 1.75/1.16 thf(zip_derived_cl1, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.75/1.16 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 1.75/1.16 thf(zip_derived_cl1925, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl1800, zip_derived_cl1])).
% 1.75/1.16 thf(zip_derived_cl2615, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((join @ (meet @ X0 @ X1) @ X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl1925])).
% 1.75/1.16 thf(zip_derived_cl0, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.75/1.16 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 1.75/1.16 thf(zip_derived_cl205, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]:
% 1.75/1.16 ((X0)
% 1.75/1.16 = (join @ (meet @ X0 @ X1) @
% 1.75/1.16 (complement @ (join @ (complement @ X0) @ X1))))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.75/1.16 thf(zip_derived_cl2637, plain,
% 1.75/1.16 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 1.75/1.16 inference('demod', [status(thm)],
% 1.75/1.16 [zip_derived_cl2615, zip_derived_cl0, zip_derived_cl205])).
% 1.75/1.16 thf(zip_derived_cl2753, plain,
% 1.75/1.16 (((composition @ sk1 @ (meet @ sk2 @ sk3))
% 1.75/1.16 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 1.75/1.16 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl2637])).
% 1.75/1.16 thf(zip_derived_cl2754, plain, ($false),
% 1.75/1.16 inference('simplify', [status(thm)], [zip_derived_cl2753])).
% 1.75/1.16
% 1.75/1.16 % SZS output end Refutation
% 1.75/1.16
% 1.75/1.16
% 1.75/1.16 % Terminating...
% 2.21/1.28 % Runner terminated.
% 2.21/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------