%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL023-2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L8BRnSmTRm true
% Computer : n012.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 04:50:01 PM UTC 2025
% Result : Unsatisfiable 5.13s 1.34s
% Output : Refutation 5.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL023-2 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L8BRnSmTRm true
% 0.14/0.34 % Computer : n012.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 12:19:08 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 5.13/1.34 % Solved by fo/fo4.sh.
% 5.13/1.34 % done 394 iterations in 0.552s
% 5.13/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.13/1.34 % SZS output start Refutation
% 5.13/1.34 thf(composition_type, type, composition: $i > $i > $i).
% 5.13/1.34 thf(meet_type, type, meet: $i > $i > $i).
% 5.13/1.34 thf(complement_type, type, complement: $i > $i).
% 5.13/1.34 thf(sk1_type, type, sk1: $i).
% 5.13/1.34 thf(converse_type, type, converse: $i > $i).
% 5.13/1.34 thf(sk3_type, type, sk3: $i).
% 5.13/1.34 thf(top_type, type, top: $i).
% 5.13/1.34 thf(join_type, type, join: $i > $i > $i).
% 5.13/1.34 thf(zero_type, type, zero: $i).
% 5.13/1.34 thf(sk2_type, type, sk2: $i).
% 5.13/1.34 thf(one_type, type, one: $i).
% 5.13/1.34 thf(goals_17, conjecture,
% 5.13/1.34 (( join @
% 5.13/1.34 ( composition @
% 5.13/1.34 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 5.13/1.34 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ) ) =
% 5.13/1.34 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ))).
% 5.13/1.34 thf(zf_stmt_0, negated_conjecture,
% 5.13/1.34 (( join @
% 5.13/1.34 ( composition @
% 5.13/1.34 ( meet @ sk1 @ ( converse @ sk2 ) ) @ ( meet @ sk2 @ sk3 ) ) @
% 5.13/1.34 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) ) ) !=
% 5.13/1.34 ( composition @ sk1 @ ( meet @ sk2 @ sk3 ) )),
% 5.13/1.34 inference('cnf.neg', [status(esa)], [goals_17])).
% 5.13/1.34 thf(zip_derived_cl16, plain,
% 5.13/1.34 (((join @
% 5.13/1.34 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)) @
% 5.13/1.34 (composition @ sk1 @ (meet @ sk2 @ sk3)))
% 5.13/1.34 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 5.13/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.13/1.34 thf(maddux1_join_commutativity_1, axiom,
% 5.13/1.34 (( join @ A @ B ) = ( join @ B @ A ))).
% 5.13/1.34 thf(zip_derived_cl0, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 5.13/1.34 thf(zip_derived_cl19, plain,
% 5.13/1.34 (((join @ (composition @ sk1 @ (meet @ sk2 @ sk3)) @
% 5.13/1.34 (composition @ (meet @ sk1 @ (converse @ sk2)) @ (meet @ sk2 @ sk3)))
% 5.13/1.34 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 5.13/1.34 thf(composition_distributivity_7, axiom,
% 5.13/1.34 (( composition @ ( join @ A @ B ) @ C ) =
% 5.13/1.34 ( join @ ( composition @ A @ C ) @ ( composition @ B @ C ) ))).
% 5.13/1.34 thf(zip_derived_cl6, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.13/1.34 ((composition @ (join @ X0 @ X2) @ X1)
% 5.13/1.34 = (join @ (composition @ X0 @ X1) @ (composition @ X2 @ X1)))),
% 5.13/1.34 inference('cnf', [status(esa)], [composition_distributivity_7])).
% 5.13/1.34 thf(zip_derived_cl176, plain,
% 5.13/1.34 (((composition @ (join @ sk1 @ (meet @ sk1 @ (converse @ sk2))) @
% 5.13/1.34 (meet @ sk2 @ sk3)) != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 5.13/1.34 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 5.13/1.34 (( A ) =
% 5.13/1.34 ( join @
% 5.13/1.34 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 5.13/1.34 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 5.13/1.34 thf(zip_derived_cl2, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 5.13/1.34 thf(maddux4_definiton_of_meet_4, axiom,
% 5.13/1.34 (( meet @ A @ B ) =
% 5.13/1.34 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 5.13/1.34 thf(zip_derived_cl3, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((meet @ X0 @ X1)
% 5.13/1.34 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 5.13/1.34 thf(zip_derived_cl208, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.13/1.34 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 5.13/1.34 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 5.13/1.34 inference('cnf', [status(esa)], [composition_identity_6])).
% 5.13/1.34 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 5.13/1.34 thf(zip_derived_cl7, plain,
% 5.13/1.34 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 5.13/1.34 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 5.13/1.34 thf(converse_multiplicativity_10, axiom,
% 5.13/1.34 (( converse @ ( composition @ A @ B ) ) =
% 5.13/1.34 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 5.13/1.34 thf(zip_derived_cl9, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((converse @ (composition @ X1 @ X0))
% 5.13/1.34 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 5.13/1.34 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 5.13/1.34 thf(zip_derived_cl24, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((converse @ (composition @ (converse @ X0) @ X1))
% 5.13/1.34 = (composition @ (converse @ X1) @ X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 5.13/1.34 thf(zip_derived_cl127, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl24])).
% 5.13/1.34 thf(zip_derived_cl7, plain,
% 5.13/1.34 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 5.13/1.34 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 5.13/1.34 thf(zip_derived_cl133, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl7])).
% 5.13/1.34 thf(zip_derived_cl133, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl7])).
% 5.13/1.34 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 5.13/1.34 inference('cnf', [status(esa)], [composition_identity_6])).
% 5.13/1.34 thf(zip_derived_cl135, plain, (((one) = (converse @ one))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl5])).
% 5.13/1.34 thf(zip_derived_cl139, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl135])).
% 5.13/1.34 thf(converse_cancellativity_11, axiom,
% 5.13/1.34 (( join @
% 5.13/1.34 ( composition @
% 5.13/1.34 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 5.13/1.34 ( complement @ B ) ) =
% 5.13/1.34 ( complement @ B ))).
% 5.13/1.34 thf(zip_derived_cl10, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((join @
% 5.13/1.34 (composition @ (converse @ X1) @
% 5.13/1.34 (complement @ (composition @ X1 @ X0))) @
% 5.13/1.34 (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 5.13/1.34 thf(zip_derived_cl196, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 5.13/1.34 (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl10])).
% 5.13/1.34 thf(zip_derived_cl135, plain, (((one) = (converse @ one))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl5])).
% 5.13/1.34 thf(zip_derived_cl139, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (composition @ one @ X0))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl135])).
% 5.13/1.34 thf(zip_derived_cl204, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl196, zip_derived_cl135, zip_derived_cl139])).
% 5.13/1.34 thf(zip_derived_cl3, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((meet @ X0 @ X1)
% 5.13/1.34 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 5.13/1.34 thf(zip_derived_cl362, plain,
% 5.13/1.34 (![X0 : $i]: ((meet @ X0 @ X0) = (complement @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl3])).
% 5.13/1.34 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 5.13/1.34 thf(zip_derived_cl12, plain,
% 5.13/1.34 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_zero_13])).
% 5.13/1.34 thf(zip_derived_cl208, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl216, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ zero @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ (complement @ X0)))))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl208])).
% 5.13/1.34 thf(zip_derived_cl3, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((meet @ X0 @ X1)
% 5.13/1.34 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 5.13/1.34 thf(zip_derived_cl217, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ X0)))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl0, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 5.13/1.34 thf(zip_derived_cl326, plain,
% 5.13/1.34 (![X0 : $i]: ((join @ (meet @ X0 @ X0) @ zero) = (X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl0])).
% 5.13/1.34 thf(zip_derived_cl494, plain,
% 5.13/1.34 (![X0 : $i]: ((join @ (complement @ (complement @ X0)) @ zero) = (X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl362, zip_derived_cl326])).
% 5.13/1.34 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 5.13/1.34 thf(zip_derived_cl11, plain,
% 5.13/1.34 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_top_12])).
% 5.13/1.34 thf(zip_derived_cl3, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((meet @ X0 @ X1)
% 5.13/1.34 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 5.13/1.34 thf(zip_derived_cl172, plain,
% 5.13/1.34 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl12, plain,
% 5.13/1.34 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_zero_13])).
% 5.13/1.34 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 5.13/1.34 thf(zip_derived_cl3, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((meet @ X0 @ X1)
% 5.13/1.34 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 5.13/1.34 thf(zip_derived_cl251, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((meet @ X0 @ top) = (complement @ (join @ (complement @ X0) @ zero)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl2452, plain,
% 5.13/1.34 (![X0 : $i]: ((meet @ (complement @ X0) @ top) = (complement @ X0))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl251])).
% 5.13/1.34 thf(zip_derived_cl204, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl196, zip_derived_cl135, zip_derived_cl139])).
% 5.13/1.34 thf(zip_derived_cl11, plain,
% 5.13/1.34 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_top_12])).
% 5.13/1.34 thf(maddux2_join_associativity_2, axiom,
% 5.13/1.34 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 5.13/1.34 thf(zip_derived_cl1, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.13/1.34 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 5.13/1.34 thf(zip_derived_cl34, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 5.13/1.34 thf(zip_derived_cl1361, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ X0) @
% 5.13/1.34 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 5.13/1.34 = (top))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl34])).
% 5.13/1.34 thf(zip_derived_cl11, plain,
% 5.13/1.34 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_top_12])).
% 5.13/1.34 thf(zip_derived_cl1395, plain,
% 5.13/1.34 (![X0 : $i]: ((join @ (complement @ X0) @ top) = (top))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl1361, zip_derived_cl11])).
% 5.13/1.34 thf(zip_derived_cl208, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl1472, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (join @ (meet @ X0 @ top) @ (complement @ top)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl1395, zip_derived_cl208])).
% 5.13/1.34 thf(zip_derived_cl175, plain, (((zero) = (complement @ top))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 5.13/1.34 thf(zip_derived_cl0, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 5.13/1.34 thf(zip_derived_cl1478, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (join @ zero @ (meet @ X0 @ top)))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl1472, zip_derived_cl175, zip_derived_cl0])).
% 5.13/1.34 thf(zip_derived_cl2594, plain,
% 5.13/1.34 (![X0 : $i]: ((complement @ X0) = (join @ zero @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2452, zip_derived_cl1478])).
% 5.13/1.34 thf(zip_derived_cl204, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl196, zip_derived_cl135, zip_derived_cl139])).
% 5.13/1.34 thf(zip_derived_cl208, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl361, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ (complement @ X0)) @
% 5.13/1.34 (complement @ (complement @ X0))))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl208])).
% 5.13/1.34 thf(zip_derived_cl12, plain,
% 5.13/1.34 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 5.13/1.34 inference('cnf', [status(esa)], [def_zero_13])).
% 5.13/1.34 thf(zip_derived_cl371, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl361, zip_derived_cl12])).
% 5.13/1.34 thf(zip_derived_cl2620, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2594, zip_derived_cl371])).
% 5.13/1.34 thf(zip_derived_cl204, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl196, zip_derived_cl135, zip_derived_cl139])).
% 5.13/1.34 thf(zip_derived_cl2675, plain,
% 5.13/1.34 (![X0 : $i]:
% 5.13/1.34 ((join @ (complement @ (complement @ X0)) @ X0)
% 5.13/1.34 = (complement @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2620, zip_derived_cl204])).
% 5.13/1.34 thf(zip_derived_cl2620, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2594, zip_derived_cl371])).
% 5.13/1.34 thf(zip_derived_cl2620, plain,
% 5.13/1.34 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2594, zip_derived_cl371])).
% 5.13/1.34 thf(zip_derived_cl2697, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl2675, zip_derived_cl2620, zip_derived_cl2620])).
% 5.13/1.34 thf(zip_derived_cl1, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.13/1.34 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 5.13/1.34 thf(zip_derived_cl2874, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl2697, zip_derived_cl1])).
% 5.13/1.34 thf(zip_derived_cl3649, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((join @ (meet @ X0 @ X1) @ X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl2874])).
% 5.13/1.34 thf(zip_derived_cl0, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 5.13/1.34 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 5.13/1.34 thf(zip_derived_cl208, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]:
% 5.13/1.34 ((X0)
% 5.13/1.34 = (join @ (meet @ X0 @ X1) @
% 5.13/1.34 (complement @ (join @ (complement @ X0) @ X1))))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.13/1.34 thf(zip_derived_cl3679, plain,
% 5.13/1.34 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 5.13/1.34 inference('demod', [status(thm)],
% 5.13/1.34 [zip_derived_cl3649, zip_derived_cl0, zip_derived_cl208])).
% 5.13/1.34 thf(zip_derived_cl3825, plain,
% 5.13/1.34 (((composition @ sk1 @ (meet @ sk2 @ sk3))
% 5.13/1.34 != (composition @ sk1 @ (meet @ sk2 @ sk3)))),
% 5.13/1.34 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl3679])).
% 5.13/1.34 thf(zip_derived_cl3826, plain, ($false),
% 5.13/1.34 inference('simplify', [status(thm)], [zip_derived_cl3825])).
% 5.13/1.34
% 5.13/1.34 % SZS output end Refutation
% 5.13/1.34
% 5.13/1.34
% 5.13/1.34 % Terminating...
% 5.53/1.46 % Runner terminated.
% 5.53/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------