TSTP Solution File: REL048-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL048-1 : 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.1anz2NH29B true
% Computer : n013.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 13:47:32 EDT 2023
% Result : Unsatisfiable 11.04s 2.19s
% Output : Refutation 11.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL048-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1anz2NH29B true
% 0.13/0.34 % Computer : n013.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 19:08:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.04/2.19 % Solved by fo/fo1_av.sh.
% 11.04/2.19 % done 509 iterations in 1.431s
% 11.04/2.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.04/2.19 % SZS output start Refutation
% 11.04/2.19 thf(composition_type, type, composition: $i > $i > $i).
% 11.04/2.19 thf(meet_type, type, meet: $i > $i > $i).
% 11.04/2.19 thf(sk3_type, type, sk3: $i).
% 11.04/2.19 thf(complement_type, type, complement: $i > $i).
% 11.04/2.19 thf(converse_type, type, converse: $i > $i).
% 11.04/2.19 thf(sk2_type, type, sk2: $i).
% 11.04/2.19 thf(top_type, type, top: $i).
% 11.04/2.19 thf(join_type, type, join: $i > $i > $i).
% 11.04/2.19 thf(zero_type, type, zero: $i).
% 11.04/2.19 thf(sk1_type, type, sk1: $i).
% 11.04/2.19 thf(one_type, type, one: $i).
% 11.04/2.19 thf(goals_15, conjecture,
% 11.04/2.19 (~( ( ( join @ sk2 @ sk3 ) != ( sk3 ) ) |
% 11.04/2.19 ( ( join @ sk1 @ sk3 ) != ( sk3 ) ) ))).
% 11.04/2.19 thf(zf_stmt_0, negated_conjecture,
% 11.04/2.19 (( ( join @ sk2 @ sk3 ) != ( sk3 ) ) | ( ( join @ sk1 @ sk3 ) != ( sk3 ) )),
% 11.04/2.19 inference('cnf.neg', [status(esa)], [goals_15])).
% 11.04/2.19 thf(zip_derived_cl14, plain,
% 11.04/2.19 ((((join @ sk2 @ sk3) != (sk3)) | ((join @ sk1 @ sk3) != (sk3)))),
% 11.04/2.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.04/2.19 thf(zip_derived_cl15, plain,
% 11.04/2.19 ((((join @ sk1 @ sk3) != (sk3))) <= (~ (((join @ sk1 @ sk3) = (sk3))))),
% 11.04/2.19 inference('split', [status(esa)], [zip_derived_cl14])).
% 11.04/2.19 thf(goals_14, conjecture, (( join @ ( join @ sk1 @ sk2 ) @ sk3 ) != ( sk3 ))).
% 11.04/2.19 thf(zf_stmt_1, negated_conjecture,
% 11.04/2.19 (( join @ ( join @ sk1 @ sk2 ) @ sk3 ) = ( sk3 )),
% 11.04/2.19 inference('cnf.neg', [status(esa)], [goals_14])).
% 11.04/2.19 thf(zip_derived_cl13, plain, (((join @ (join @ sk1 @ sk2) @ sk3) = (sk3))),
% 11.04/2.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.04/2.19 thf(maddux2_join_associativity_2, axiom,
% 11.04/2.19 (( join @ A @ ( join @ B @ C ) ) = ( join @ ( join @ A @ B ) @ C ))).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl22, plain, (((join @ sk1 @ (join @ sk2 @ sk3)) = (sk3))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 11.04/2.19 thf(composition_identity_6, axiom, (( composition @ A @ one ) = ( A ))).
% 11.04/2.19 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.04/2.19 thf(converse_idempotence_8, axiom, (( converse @ ( converse @ A ) ) = ( A ))).
% 11.04/2.19 thf(zip_derived_cl7, plain,
% 11.04/2.19 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 11.04/2.19 thf(converse_multiplicativity_10, axiom,
% 11.04/2.19 (( converse @ ( composition @ A @ B ) ) =
% 11.04/2.19 ( composition @ ( converse @ B ) @ ( converse @ A ) ))).
% 11.04/2.19 thf(zip_derived_cl9, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((converse @ (composition @ X1 @ X0))
% 11.04/2.19 = (composition @ (converse @ X0) @ (converse @ X1)))),
% 11.04/2.19 inference('cnf', [status(esa)], [converse_multiplicativity_10])).
% 11.04/2.19 thf(zip_derived_cl284, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((converse @ (composition @ (converse @ X0) @ X1))
% 11.04/2.19 = (composition @ (converse @ X1) @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 11.04/2.19 thf(zip_derived_cl1352, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((converse @ (converse @ X0)) = (composition @ (converse @ one) @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl284])).
% 11.04/2.19 thf(zip_derived_cl7, plain,
% 11.04/2.19 (![X0 : $i]: ((converse @ (converse @ X0)) = (X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [converse_idempotence_8])).
% 11.04/2.19 thf(zip_derived_cl1359, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl7])).
% 11.04/2.19 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.04/2.19 thf(composition_associativity_5, axiom,
% 11.04/2.19 (( composition @ A @ ( composition @ B @ C ) ) =
% 11.04/2.19 ( composition @ ( composition @ A @ B ) @ C ))).
% 11.04/2.19 thf(zip_derived_cl4, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((composition @ X0 @ (composition @ X1 @ X2))
% 11.04/2.19 = (composition @ (composition @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [composition_associativity_5])).
% 11.04/2.19 thf(zip_derived_cl70, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((composition @ X0 @ (composition @ one @ X1))
% 11.04/2.19 = (composition @ X0 @ X1))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 11.04/2.19 thf(zip_derived_cl1370, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((composition @ one @ X0) = (composition @ (converse @ one) @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1359, zip_derived_cl70])).
% 11.04/2.19 thf(zip_derived_cl1359, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl7])).
% 11.04/2.19 thf(zip_derived_cl1376, plain,
% 11.04/2.19 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1370, zip_derived_cl1359])).
% 11.04/2.19 thf(converse_cancellativity_11, axiom,
% 11.04/2.19 (( join @
% 11.04/2.19 ( composition @
% 11.04/2.19 ( converse @ A ) @ ( complement @ ( composition @ A @ B ) ) ) @
% 11.04/2.19 ( complement @ B ) ) =
% 11.04/2.19 ( complement @ B ))).
% 11.04/2.19 thf(zip_derived_cl10, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @
% 11.04/2.19 (composition @ (converse @ X1) @
% 11.04/2.19 (complement @ (composition @ X1 @ X0))) @
% 11.04/2.19 (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [converse_cancellativity_11])).
% 11.04/2.19 thf(zip_derived_cl1577, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (composition @ (converse @ one) @ (complement @ X0)) @
% 11.04/2.19 (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1376, zip_derived_cl10])).
% 11.04/2.19 thf(zip_derived_cl1359, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (composition @ (converse @ one) @ X0))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl7])).
% 11.04/2.19 thf(zip_derived_cl5, plain, (![X0 : $i]: ((composition @ X0 @ one) = (X0))),
% 11.04/2.19 inference('cnf', [status(esa)], [composition_identity_6])).
% 11.04/2.19 thf(zip_derived_cl1371, plain, (((one) = (converse @ one))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1359, zip_derived_cl5])).
% 11.04/2.19 thf(zip_derived_cl1376, plain,
% 11.04/2.19 (![X0 : $i]: ((composition @ one @ X0) = (X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1370, zip_derived_cl1359])).
% 11.04/2.19 thf(zip_derived_cl1578, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1577, zip_derived_cl1371, zip_derived_cl1376])).
% 11.04/2.19 thf(maddux3_a_kind_of_de_Morgan_3, axiom,
% 11.04/2.19 (( A ) =
% 11.04/2.19 ( join @
% 11.04/2.19 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ) @
% 11.04/2.19 ( complement @ ( join @ ( complement @ A ) @ B ) ) ))).
% 11.04/2.19 thf(zip_derived_cl2, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((X0)
% 11.04/2.19 = (join @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 11.04/2.19 thf(maddux4_definiton_of_meet_4, axiom,
% 11.04/2.19 (( meet @ A @ B ) =
% 11.04/2.19 ( complement @ ( join @ ( complement @ A ) @ ( complement @ B ) ) ))).
% 11.04/2.19 thf(zip_derived_cl3, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((meet @ X0 @ X1)
% 11.04/2.19 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.04/2.19 thf(maddux1_join_commutativity_1, axiom,
% 11.04/2.19 (( join @ A @ B ) = ( join @ B @ A ))).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl111, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((X0)
% 11.04/2.19 = (join @ (complement @ (join @ (complement @ X0) @ X1)) @
% 11.04/2.19 (meet @ X0 @ X1)))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl2, zip_derived_cl3, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl1655, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((X0)
% 11.04/2.19 = (join @ (complement @ (complement @ X0)) @
% 11.04/2.19 (meet @ X0 @ (complement @ X0))))),
% 11.04/2.19 inference('s_sup+', [status(thm)],
% 11.04/2.19 [zip_derived_cl1578, zip_derived_cl111])).
% 11.04/2.19 thf(def_zero_13, axiom, (( zero ) = ( meet @ A @ ( complement @ A ) ))).
% 11.04/2.19 thf(zip_derived_cl12, plain,
% 11.04/2.19 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_zero_13])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl1665, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1655, zip_derived_cl12, zip_derived_cl0])).
% 11.04/2.19 thf(def_top_12, axiom, (( top ) = ( join @ A @ ( complement @ A ) ))).
% 11.04/2.19 thf(zip_derived_cl11, plain,
% 11.04/2.19 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_top_12])).
% 11.04/2.19 thf(zip_derived_cl11, plain,
% 11.04/2.19 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_top_12])).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl34, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl677, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ (complement @ X0) @ (complement @ top))) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl34])).
% 11.04/2.19 thf(zip_derived_cl11, plain,
% 11.04/2.19 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_top_12])).
% 11.04/2.19 thf(zip_derived_cl3, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((meet @ X0 @ X1)
% 11.04/2.19 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.04/2.19 thf(zip_derived_cl118, plain,
% 11.04/2.19 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (complement @ top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 11.04/2.19 thf(zip_derived_cl12, plain,
% 11.04/2.19 (![X0 : $i]: ((zero) = (meet @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_zero_13])).
% 11.04/2.19 thf(zip_derived_cl121, plain, (((zero) = (complement @ top))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl12])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl714, plain,
% 11.04/2.19 (![X0 : $i]: ((join @ X0 @ (join @ zero @ (complement @ X0))) = (top))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl677, zip_derived_cl121, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl2335, plain,
% 11.04/2.19 (![X0 : $i]: ((join @ (complement @ X0) @ X0) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)],
% 11.04/2.19 [zip_derived_cl1665, zip_derived_cl714])).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl2406, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (join @ top @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl2335, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl1578, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1577, zip_derived_cl1371, zip_derived_cl1376])).
% 11.04/2.19 thf(zip_derived_cl34, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl1652, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @
% 11.04/2.19 (join @ (complement @ X0) @ (complement @ (complement @ X0))))
% 11.04/2.19 = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl34])).
% 11.04/2.19 thf(zip_derived_cl11, plain,
% 11.04/2.19 (![X0 : $i]: ((top) = (join @ X0 @ (complement @ X0)))),
% 11.04/2.19 inference('cnf', [status(esa)], [def_top_12])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl1664, plain,
% 11.04/2.19 (![X0 : $i]: ((join @ top @ (complement @ X0)) = (top))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1652, zip_derived_cl11, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl34, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ X1 @ (join @ X0 @ (complement @ (join @ X1 @ X0)))) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl1775, plain, (![X0 : $i]: ((join @ X0 @ top) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1664, zip_derived_cl34])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl1832, plain, (![X0 : $i]: ((join @ top @ X0) = (top))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl1775, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl2442, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ (complement @ X1) @ (join @ X1 @ X0)) = (top))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl2406, zip_derived_cl1832])).
% 11.04/2.19 thf(zip_derived_cl2, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((X0)
% 11.04/2.19 = (join @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 11.04/2.19 thf(zip_derived_cl2, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((X0)
% 11.04/2.19 = (join @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux3_a_kind_of_de_Morgan_3])).
% 11.04/2.19 thf(zip_derived_cl63, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X1))
% 11.04/2.19 = (join @ (complement @ X0) @
% 11.04/2.19 (complement @
% 11.04/2.19 (join @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ (complement @ X1))) @
% 11.04/2.19 (join @ (complement @ X0) @ X1)))))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl64, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X1))
% 11.04/2.19 = (join @ (complement @ X0) @
% 11.04/2.19 (complement @
% 11.04/2.19 (join @ (complement @ X0) @
% 11.04/2.19 (join @ X1 @
% 11.04/2.19 (complement @ (join @ (complement @ X0) @ (complement @ X1))))))))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl63, zip_derived_cl0, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl3, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((meet @ X0 @ X1)
% 11.04/2.19 = (complement @ (join @ (complement @ X0) @ (complement @ X1))))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux4_definiton_of_meet_4])).
% 11.04/2.19 thf(zip_derived_cl942, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X1))
% 11.04/2.19 = (join @ (complement @ X0) @
% 11.04/2.19 (complement @
% 11.04/2.19 (join @ (complement @ X0) @ (join @ X1 @ (meet @ X0 @ X1))))))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl3])).
% 11.04/2.19 thf(zip_derived_cl5000, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X0))
% 11.04/2.19 = (join @ (complement @ X0) @ (complement @ top)))),
% 11.04/2.19 inference('s_sup+', [status(thm)],
% 11.04/2.19 [zip_derived_cl2442, zip_derived_cl942])).
% 11.04/2.19 thf(zip_derived_cl1578, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1577, zip_derived_cl1371, zip_derived_cl1376])).
% 11.04/2.19 thf(zip_derived_cl121, plain, (((zero) = (complement @ top))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl12])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl5120, plain,
% 11.04/2.19 (![X0 : $i]: ((complement @ X0) = (join @ zero @ (complement @ X0)))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl5000, zip_derived_cl1578, zip_derived_cl121,
% 11.04/2.19 zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl1665, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (join @ zero @ (complement @ (complement @ X0))))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1655, zip_derived_cl12, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl5838, plain,
% 11.04/2.19 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 11.04/2.19 inference('s_sup+', [status(thm)],
% 11.04/2.19 [zip_derived_cl5120, zip_derived_cl1665])).
% 11.04/2.19 thf(zip_derived_cl1578, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ (complement @ X0) @ (complement @ X0)) = (complement @ X0))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl1577, zip_derived_cl1371, zip_derived_cl1376])).
% 11.04/2.19 thf(zip_derived_cl5997, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)],
% 11.04/2.19 [zip_derived_cl5838, zip_derived_cl1578])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl13, plain, (((join @ (join @ sk1 @ sk2) @ sk3) = (sk3))),
% 11.04/2.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl17, plain, (((sk3) = (join @ sk3 @ (join @ sk1 @ sk2)))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl27, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ sk3 @ (join @ (join @ sk1 @ sk2) @ X0)) = (join @ sk3 @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl1, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.04/2.19 ((join @ X0 @ (join @ X1 @ X2)) = (join @ (join @ X0 @ X1) @ X2))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux2_join_associativity_2])).
% 11.04/2.19 thf(zip_derived_cl29, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ sk3 @ (join @ sk1 @ (join @ sk2 @ X0))) = (join @ sk3 @ X0))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 11.04/2.19 thf(zip_derived_cl93, plain,
% 11.04/2.19 (![X0 : $i]:
% 11.04/2.19 ((join @ sk3 @ (join @ sk1 @ (join @ X0 @ sk2))) = (join @ sk3 @ X0))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl29])).
% 11.04/2.19 thf(zip_derived_cl6075, plain,
% 11.04/2.19 (((join @ sk3 @ (join @ sk1 @ sk2)) = (join @ sk3 @ sk2))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl5997, zip_derived_cl93])).
% 11.04/2.19 thf(zip_derived_cl17, plain, (((sk3) = (join @ sk3 @ (join @ sk1 @ sk2)))),
% 11.04/2.19 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl0, plain,
% 11.04/2.19 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 11.04/2.19 inference('cnf', [status(esa)], [maddux1_join_commutativity_1])).
% 11.04/2.19 thf(zip_derived_cl6138, plain, (((sk3) = (join @ sk2 @ sk3))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl6075, zip_derived_cl17, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl6253, plain, (((join @ sk1 @ sk3) = (sk3))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl6138])).
% 11.04/2.19 thf(zip_derived_cl6299, plain,
% 11.04/2.19 ((((sk3) != (sk3))) <= (~ (((join @ sk1 @ sk3) = (sk3))))),
% 11.04/2.19 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl6253])).
% 11.04/2.19 thf(zip_derived_cl6300, plain,
% 11.04/2.19 (($false) <= (~ (((join @ sk1 @ sk3) = (sk3))))),
% 11.04/2.19 inference('simplify', [status(thm)], [zip_derived_cl6299])).
% 11.04/2.19 thf(zip_derived_cl6138, plain, (((sk3) = (join @ sk2 @ sk3))),
% 11.04/2.19 inference('demod', [status(thm)],
% 11.04/2.19 [zip_derived_cl6075, zip_derived_cl17, zip_derived_cl0])).
% 11.04/2.19 thf(zip_derived_cl16, plain,
% 11.04/2.19 ((((join @ sk2 @ sk3) != (sk3))) <= (~ (((join @ sk2 @ sk3) = (sk3))))),
% 11.04/2.19 inference('split', [status(esa)], [zip_derived_cl14])).
% 11.04/2.19 thf(zip_derived_cl6289, plain,
% 11.04/2.19 ((((sk3) != (sk3))) <= (~ (((join @ sk2 @ sk3) = (sk3))))),
% 11.04/2.19 inference('s_sup-', [status(thm)], [zip_derived_cl6138, zip_derived_cl16])).
% 11.04/2.19 thf('0', plain, ((((join @ sk2 @ sk3) = (sk3)))),
% 11.04/2.19 inference('simplify', [status(thm)], [zip_derived_cl6289])).
% 11.04/2.19 thf('1', plain,
% 11.04/2.19 (~ (((join @ sk1 @ sk3) = (sk3))) | ~ (((join @ sk2 @ sk3) = (sk3)))),
% 11.04/2.19 inference('split', [status(esa)], [zip_derived_cl14])).
% 11.04/2.19 thf('2', plain, (~ (((join @ sk1 @ sk3) = (sk3)))),
% 11.04/2.19 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 11.04/2.19 thf(zip_derived_cl6301, plain, ($false),
% 11.04/2.19 inference('simpl_trail', [status(thm)], [zip_derived_cl6300, '2'])).
% 11.04/2.19
% 11.04/2.19 % SZS output end Refutation
% 11.04/2.19
% 11.04/2.19
% 11.04/2.19 % Terminating...
% 11.46/2.25 % Runner terminated.
% 11.46/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------