TSTP Solution File: LAT029-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dMzQcCBQk7 true
% Computer : n011.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 06:45:42 EDT 2023
% Result : Unsatisfiable 1.28s 1.44s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dMzQcCBQk7 true
% 0.13/0.34 % Computer : n011.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 : Thu Aug 24 07:55:37 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/1.44 % Solved by fo/fo4.sh.
% 1.28/1.44 % done 685 iterations in 0.646s
% 1.28/1.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/1.44 % SZS output start Refutation
% 1.28/1.44 thf(a_type, type, a: $i).
% 1.28/1.44 thf(meet_type, type, meet: $i > $i > $i).
% 1.28/1.44 thf(join_type, type, join: $i > $i > $i).
% 1.28/1.44 thf(b_type, type, b: $i).
% 1.28/1.44 thf(prove_normal_axioms, conjecture,
% 1.28/1.44 (~( ( ( join @ b @ a ) != ( join @ a @ b ) ) |
% 1.28/1.44 ( ( join @ a @ a ) != ( a ) ) |
% 1.28/1.44 ( ( meet @ b @ a ) != ( meet @ a @ b ) ) |
% 1.28/1.44 ( ( meet @ a @ a ) != ( a ) ) ))).
% 1.28/1.44 thf(zf_stmt_0, negated_conjecture,
% 1.28/1.44 (( ( join @ b @ a ) != ( join @ a @ b ) ) |
% 1.28/1.44 ( ( join @ a @ a ) != ( a ) ) |
% 1.28/1.44 ( ( meet @ b @ a ) != ( meet @ a @ b ) ) | ( ( meet @ a @ a ) != ( a ) )),
% 1.28/1.44 inference('cnf.neg', [status(esa)], [prove_normal_axioms])).
% 1.28/1.44 thf(zip_derived_cl5, plain,
% 1.28/1.44 ((((join @ b @ a) != (join @ a @ b))
% 1.28/1.44 | ((join @ a @ a) != (a))
% 1.28/1.44 | ((meet @ b @ a) != (meet @ a @ b))
% 1.28/1.44 | ((meet @ a @ a) != (a)))),
% 1.28/1.44 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/1.44 thf(wal_absorbtion_5, axiom,
% 1.28/1.44 (( join @ ( join @ ( meet @ X @ Y ) @ ( meet @ Z @ X ) ) @ X ) = ( X ))).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(wal_absorbtion_4, axiom,
% 1.28/1.44 (( meet @ ( meet @ ( join @ X @ Y ) @ ( join @ Z @ X ) ) @ X ) = ( X ))).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl26, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(wal_absorbtion_3, axiom,
% 1.28/1.44 (( join @ ( meet @ X @ Y ) @ ( meet @ Y @ ( join @ X @ Y ) ) ) = ( Y ))).
% 1.28/1.44 thf(zip_derived_cl2, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 1.28/1.44 thf(zip_derived_cl35, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 1.28/1.44 X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl26, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl77, plain,
% 1.28/1.44 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 1.28/1.44 thf(wal_absorbtion_1, axiom,
% 1.28/1.44 (( join @ ( meet @ X @ Y ) @ ( meet @ X @ ( join @ X @ Y ) ) ) = ( X ))).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl26, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl40, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1))
% 1.28/1.44 = (meet @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl199, plain,
% 1.28/1.44 (![X0 : $i]:
% 1.28/1.44 ((meet @ (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @
% 1.28/1.44 X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl40])).
% 1.28/1.44 thf(zip_derived_cl77, plain,
% 1.28/1.44 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl77, plain,
% 1.28/1.44 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl77, plain,
% 1.28/1.44 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl236, plain,
% 1.28/1.44 ((((join @ b @ a) != (join @ a @ b))
% 1.28/1.44 | ((join @ a @ a) != (a))
% 1.28/1.44 | ((meet @ b @ a) != (meet @ a @ b))
% 1.28/1.44 | ((a) != (a)))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl237, plain,
% 1.28/1.44 ((((meet @ b @ a) != (meet @ a @ b))
% 1.28/1.44 | ((join @ a @ a) != (a))
% 1.28/1.44 | ((join @ b @ a) != (join @ a @ b)))),
% 1.28/1.44 inference('simplify', [status(thm)], [zip_derived_cl236])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl250, plain,
% 1.28/1.44 (![X0 : $i]: ((meet @ (join @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl2, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 1.28/1.44 thf(zip_derived_cl288, plain,
% 1.28/1.44 (![X0 : $i]:
% 1.28/1.44 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(zip_derived_cl27, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.28/1.44 thf(zip_derived_cl249, plain,
% 1.28/1.44 (![X0 : $i]: ((join @ (join @ X0 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl27])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl300, plain,
% 1.28/1.44 ((((meet @ b @ a) != (meet @ a @ b))
% 1.28/1.44 | ((a) != (a))
% 1.28/1.44 | ((join @ b @ a) != (join @ a @ b)))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl301, plain,
% 1.28/1.44 ((((join @ b @ a) != (join @ a @ b)) | ((meet @ b @ a) != (meet @ a @ b)))),
% 1.28/1.44 inference('simplify', [status(thm)], [zip_derived_cl300])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl6, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 1.28/1.44 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl2, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 1.28/1.44 thf(zip_derived_cl15, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 1.28/1.44 = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl14, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 1.28/1.44 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl1712, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @
% 1.28/1.44 (meet @
% 1.28/1.44 (join @ X0 @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X3) @ (join @ X2 @ X0)) @ X0))) @
% 1.28/1.44 (join @ X1 @ X0)) @
% 1.28/1.44 (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0)))
% 1.28/1.44 = (meet @
% 1.28/1.44 (join @ X0 @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X3) @ (join @ X2 @ X0)) @ X0))) @
% 1.28/1.44 (join @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl14])).
% 1.28/1.44 thf(zip_derived_cl15, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 1.28/1.44 = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl27, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.28/1.44 thf(wal_absorbtion_2, axiom,
% 1.28/1.44 (( join @ ( meet @ X @ X ) @ ( meet @ Y @ ( join @ X @ X ) ) ) = ( X ))).
% 1.28/1.44 thf(zip_derived_cl1, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X0) @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_2])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl235, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X0 @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl6, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 1.28/1.44 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl377, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) @
% 1.28/1.44 (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0))
% 1.28/1.44 = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl6])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl392, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0)
% 1.28/1.44 = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl377, zip_derived_cl217, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl2, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 1.28/1.44 thf(zip_derived_cl26, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl42, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X1 @ X0))
% 1.28/1.44 = (meet @ X1 @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl27, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.28/1.44 thf(zip_derived_cl746, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (meet @ X1 @ X0))) @
% 1.28/1.44 (meet @ X0 @ (meet @ X1 @ X0))) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl27])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl801, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl746, zip_derived_cl374, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl801, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl746, zip_derived_cl374, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl805, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl392, zip_derived_cl801, zip_derived_cl801])).
% 1.28/1.44 thf(zip_derived_cl26, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl967, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl1016, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X0 @ (join @ (meet @ X0 @ X1) @ X0))
% 1.28/1.44 = (join @ (meet @ X0 @ X1) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl967])).
% 1.28/1.44 thf(zip_derived_cl35, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 1.28/1.44 X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl72, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl1259, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1016, zip_derived_cl72])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl1393, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ (join @ (meet @ X0 @ X1) @ X0) @
% 1.28/1.44 (join @ (join @ (meet @ X0 @ X1) @ X0) @ X0)))
% 1.28/1.44 = (join @ (meet @ X0 @ X1) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1259, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl27, plain,
% 1.28/1.44 (![X0 : $i, X3 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.28/1.44 thf(zip_derived_cl1259, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1016, zip_derived_cl72])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl1429, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1393, zip_derived_cl27, zip_derived_cl1259,
% 1.28/1.44 zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl72, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl15, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 1.28/1.44 = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.28/1.44 thf(zip_derived_cl1774, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1712, zip_derived_cl15, zip_derived_cl1429,
% 1.28/1.44 zip_derived_cl72, zip_derived_cl298, zip_derived_cl15])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl1787, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ (join @ X1 @ X0) @ X0) = (join @ X1 @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl1891, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 1.28/1.44 = (join @
% 1.28/1.44 (meet @ (meet @ X1 @ X0) @ (meet @ X1 @ (join @ X1 @ X0))) @
% 1.28/1.44 (meet @ (meet @ X1 @ X0) @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1787])).
% 1.28/1.44 thf(zip_derived_cl6, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 1.28/1.44 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl1904, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 1.28/1.44 = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl1891, zip_derived_cl6])).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl23, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (meet @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0) @
% 1.28/1.44 (meet @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))
% 1.28/1.44 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl2504, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @
% 1.28/1.44 (meet @
% 1.28/1.44 (join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1)) @ X1) @
% 1.28/1.44 (meet @ (meet @ X1 @ X0) @ X1))
% 1.28/1.44 = (join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1904, zip_derived_cl23])).
% 1.28/1.44 thf(zip_derived_cl1904, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 1.28/1.44 = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl1891, zip_derived_cl6])).
% 1.28/1.44 thf(zip_derived_cl298, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl288, zip_derived_cl249, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl1904, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 1.28/1.44 = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl1891, zip_derived_cl6])).
% 1.28/1.44 thf(zip_derived_cl2574, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl2504, zip_derived_cl1904, zip_derived_cl298,
% 1.28/1.44 zip_derived_cl1904])).
% 1.28/1.44 thf(zip_derived_cl801, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl746, zip_derived_cl374, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(zip_derived_cl808, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X1 @ X0) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl4])).
% 1.28/1.44 thf(zip_derived_cl2594, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X2 @ X1) @ (meet @ X1 @ X0)) @ X1) = (X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2574, zip_derived_cl808])).
% 1.28/1.44 thf(zip_derived_cl967, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl2574, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl2504, zip_derived_cl1904, zip_derived_cl298,
% 1.28/1.44 zip_derived_cl1904])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl2586, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X1 @ (meet @ X1 @ X0)) = (X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2574, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl2660, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ (join @ X0 @ X1) @ X0) = (join @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl3175, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)))
% 1.28/1.44 = (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2594, zip_derived_cl2660])).
% 1.28/1.44 thf(zip_derived_cl2594, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X2 @ X1) @ (meet @ X1 @ X0)) @ X1) = (X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2574, zip_derived_cl808])).
% 1.28/1.44 thf(zip_derived_cl3234, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ X0 @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl3175, zip_derived_cl2594])).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl24, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/1.44 ((meet @
% 1.28/1.44 (meet @ X0 @
% 1.28/1.44 (join @ X3 @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))) @
% 1.28/1.44 (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))
% 1.28/1.44 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl3939, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (meet @ X1 @ X0) @
% 1.28/1.44 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))
% 1.28/1.44 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3234, zip_derived_cl24])).
% 1.28/1.44 thf(zip_derived_cl967, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl2574, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl2504, zip_derived_cl1904, zip_derived_cl298,
% 1.28/1.44 zip_derived_cl1904])).
% 1.28/1.44 thf(zip_derived_cl2601, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X0 @ (join @ X0 @ X1)) = (meet @ (join @ X0 @ X1) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl2574])).
% 1.28/1.44 thf(zip_derived_cl967, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (join @ X0 @ X1) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl26])).
% 1.28/1.44 thf(zip_derived_cl2613, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl2601, zip_derived_cl967])).
% 1.28/1.44 thf(zip_derived_cl4009, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X1 @ X0) = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl3939, zip_derived_cl2613])).
% 1.28/1.44 thf(zip_derived_cl1774, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1712, zip_derived_cl15, zip_derived_cl1429,
% 1.28/1.44 zip_derived_cl72, zip_derived_cl298, zip_derived_cl15])).
% 1.28/1.44 thf(zip_derived_cl374, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl298])).
% 1.28/1.44 thf(zip_derived_cl0, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 1.28/1.44 thf(zip_derived_cl375, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl0])).
% 1.28/1.44 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 1.28/1.44 zip_derived_cl77])).
% 1.28/1.44 thf(zip_derived_cl391, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl217])).
% 1.28/1.44 thf(zip_derived_cl801, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl746, zip_derived_cl374, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl804, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl391, zip_derived_cl801])).
% 1.28/1.44 thf(zip_derived_cl1789, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl804])).
% 1.28/1.44 thf(zip_derived_cl4019, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (meet @ X0 @ X1) @ (meet @ X1 @ X0))
% 1.28/1.44 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4009, zip_derived_cl1789])).
% 1.28/1.44 thf(zip_derived_cl4009, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X1 @ X0) = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl3939, zip_derived_cl2613])).
% 1.28/1.44 thf(zip_derived_cl4009, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X1 @ X0) = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl3939, zip_derived_cl2613])).
% 1.28/1.44 thf(zip_derived_cl4121, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl4019, zip_derived_cl4009, zip_derived_cl4009])).
% 1.28/1.44 thf(zip_derived_cl4138, plain,
% 1.28/1.44 ((((join @ b @ a) != (join @ a @ b)) | ((meet @ b @ a) != (meet @ b @ a)))),
% 1.28/1.44 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl4121])).
% 1.28/1.44 thf(zip_derived_cl4139, plain, (((join @ b @ a) != (join @ a @ b))),
% 1.28/1.44 inference('simplify', [status(thm)], [zip_derived_cl4138])).
% 1.28/1.44 thf(zip_derived_cl2660, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ (join @ X0 @ X1) @ X0) = (join @ X0 @ X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl1789, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl804])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl1920, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl2574, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl2504, zip_derived_cl1904, zip_derived_cl298,
% 1.28/1.44 zip_derived_cl1904])).
% 1.28/1.44 thf(zip_derived_cl2606, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)))
% 1.28/1.44 = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl2574])).
% 1.28/1.44 thf(zip_derived_cl1920, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl3])).
% 1.28/1.44 thf(zip_derived_cl2618, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0))) = (X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl2606, zip_derived_cl1920])).
% 1.28/1.44 thf(zip_derived_cl3378, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ X1 @ (meet @ (join @ X2 @ X1) @ (join @ X1 @ X0))) = (X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2660, zip_derived_cl2618])).
% 1.28/1.44 thf(zip_derived_cl3, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 1.28/1.44 thf(zip_derived_cl4, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.44 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 1.28/1.44 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 1.28/1.44 thf(zip_derived_cl28, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/1.44 ((join @
% 1.28/1.44 (join @ X0 @
% 1.28/1.44 (meet @ X3 @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))) @
% 1.28/1.44 (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))
% 1.28/1.44 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.28/1.44 thf(zip_derived_cl5446, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ (join @ X1 @ X0) @
% 1.28/1.44 (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))
% 1.28/1.44 = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl3378, zip_derived_cl28])).
% 1.28/1.44 thf(zip_derived_cl2586, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X1 @ (meet @ X1 @ X0)) = (X1))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl2574, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl5557, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl5446, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl4009, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X1 @ X0) = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl3939, zip_derived_cl2613])).
% 1.28/1.44 thf(zip_derived_cl1774, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1712, zip_derived_cl15, zip_derived_cl1429,
% 1.28/1.44 zip_derived_cl72, zip_derived_cl298, zip_derived_cl15])).
% 1.28/1.44 thf(zip_derived_cl801, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl746, zip_derived_cl374, zip_derived_cl374])).
% 1.28/1.44 thf(zip_derived_cl1788, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X0 @ (join @ X1 @ X0)) = (meet @ (join @ X1 @ X0) @ X0))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl801])).
% 1.28/1.44 thf(zip_derived_cl1774, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1712, zip_derived_cl15, zip_derived_cl1429,
% 1.28/1.44 zip_derived_cl72, zip_derived_cl298, zip_derived_cl15])).
% 1.28/1.44 thf(zip_derived_cl1816, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl1788, zip_derived_cl1774])).
% 1.28/1.44 thf(zip_derived_cl4020, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ X0 @ X1) = (meet @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl4009, zip_derived_cl1816])).
% 1.28/1.44 thf(zip_derived_cl5753, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((meet @ (join @ X1 @ X0) @ (join @ X0 @ X1))
% 1.28/1.44 = (meet @ (meet @ (join @ X0 @ X1) @ (join @ X1 @ X0)) @
% 1.28/1.44 (join @ X1 @ X0)))),
% 1.28/1.44 inference('sup+', [status(thm)], [zip_derived_cl5557, zip_derived_cl4020])).
% 1.28/1.44 thf(zip_derived_cl5557, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl5446, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl5557, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl5446, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl5557, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]:
% 1.28/1.44 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl5446, zip_derived_cl2586])).
% 1.28/1.44 thf(zip_derived_cl5894, plain,
% 1.28/1.44 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl5753, zip_derived_cl5557, zip_derived_cl5557,
% 1.28/1.44 zip_derived_cl5557])).
% 1.28/1.44 thf(zip_derived_cl5927, plain, (((join @ b @ a) != (join @ b @ a))),
% 1.28/1.44 inference('demod', [status(thm)],
% 1.28/1.44 [zip_derived_cl4139, zip_derived_cl5894])).
% 1.28/1.44 thf(zip_derived_cl5928, plain, ($false),
% 1.28/1.44 inference('simplify', [status(thm)], [zip_derived_cl5927])).
% 1.28/1.44
% 1.28/1.44 % SZS output end Refutation
% 1.28/1.44
% 1.28/1.44
% 1.28/1.44 % Terminating...
% 1.28/1.57 % Runner terminated.
% 1.28/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------