TSTP Solution File: LAT030-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT030-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1oKb4IS2C8 true
% Computer : n015.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 146.77s 21.78s
% Output : Refutation 146.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT030-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1oKb4IS2C8 true
% 0.13/0.34 % Computer : n015.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 06:05:05 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
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 146.77/21.78 % Solved by fo/fo7.sh.
% 146.77/21.78 % done 6365 iterations in 20.976s
% 146.77/21.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 146.77/21.78 % SZS output start Refutation
% 146.77/21.78 thf(b_type, type, b: $i).
% 146.77/21.78 thf(a_type, type, a: $i).
% 146.77/21.78 thf(meet_type, type, meet: $i > $i > $i).
% 146.77/21.78 thf(join_type, type, join: $i > $i > $i).
% 146.77/21.78 thf(c_type, type, c: $i).
% 146.77/21.78 thf(prove_wal_axioms, conjecture,
% 146.77/21.78 (~( ( ( join @ ( join @ ( meet @ a @ b ) @ ( meet @ c @ b ) ) @ b ) !=
% 146.77/21.78 ( b ) ) |
% 146.77/21.78 ( ( meet @ ( meet @ ( join @ a @ b ) @ ( join @ c @ b ) ) @ b ) !=
% 146.77/21.78 ( b ) ) |
% 146.77/21.78 ( ( join @ b @ a ) != ( join @ a @ b ) ) |
% 146.77/21.78 ( ( join @ a @ a ) != ( a ) ) |
% 146.77/21.78 ( ( meet @ b @ a ) != ( meet @ a @ b ) ) |
% 146.77/21.78 ( ( meet @ a @ a ) != ( a ) ) ))).
% 146.77/21.78 thf(zf_stmt_0, negated_conjecture,
% 146.77/21.78 (( ( join @ ( join @ ( meet @ a @ b ) @ ( meet @ c @ b ) ) @ b ) != ( b ) ) |
% 146.77/21.78 ( ( meet @ ( meet @ ( join @ a @ b ) @ ( join @ c @ b ) ) @ b ) != ( b ) ) |
% 146.77/21.78 ( ( join @ b @ a ) != ( join @ a @ b ) ) |
% 146.77/21.78 ( ( join @ a @ a ) != ( a ) ) |
% 146.77/21.78 ( ( meet @ b @ a ) != ( meet @ a @ b ) ) | ( ( meet @ a @ a ) != ( a ) )),
% 146.77/21.78 inference('cnf.neg', [status(esa)], [prove_wal_axioms])).
% 146.77/21.78 thf(zip_derived_cl1, plain,
% 146.77/21.78 ((((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b))
% 146.77/21.78 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.78 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.78 | ((join @ a @ a) != (a))
% 146.77/21.78 | ((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.78 | ((meet @ a @ a) != (a)))),
% 146.77/21.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 146.77/21.78 thf(single_axiom, axiom,
% 146.77/21.78 (( join @
% 146.77/21.78 ( meet @
% 146.77/21.78 ( join @ ( meet @ X @ Y ) @ ( meet @ Y @ ( join @ X @ Y ) ) ) @ Z ) @
% 146.77/21.78 ( meet @
% 146.77/21.78 ( join @
% 146.77/21.78 ( meet @
% 146.77/21.78 X @
% 146.77/21.78 ( join @ ( join @ ( meet @ Y @ X1 ) @ ( meet @ X2 @ Y ) ) @ Y ) ) @
% 146.77/21.78 ( meet @
% 146.77/21.78 ( join @
% 146.77/21.78 ( meet @
% 146.77/21.78 Y @
% 146.77/21.78 ( meet @ ( meet @ ( join @ Y @ X1 ) @ ( join @ X2 @ Y ) ) @ Y ) ) @
% 146.77/21.78 ( meet @
% 146.77/21.78 U @
% 146.77/21.78 ( join @
% 146.77/21.78 Y @
% 146.77/21.78 ( meet @
% 146.77/21.78 ( meet @ ( join @ Y @ X1 ) @ ( join @ X2 @ Y ) ) @ Y ) ) ) ) @
% 146.77/21.78 ( join @
% 146.77/21.78 X @
% 146.77/21.78 ( join @ ( join @ ( meet @ Y @ X1 ) @ ( meet @ X2 @ Y ) ) @ Y ) ) ) ) @
% 146.77/21.78 ( join @
% 146.77/21.78 ( join @ ( meet @ X @ Y ) @ ( meet @ Y @ ( join @ X @ Y ) ) ) @ Z ) ) ) =
% 146.77/21.78 ( Y ))).
% 146.77/21.78 thf(zip_derived_cl0, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X5 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.78 = (X0))),
% 146.77/21.78 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.78 thf(zip_derived_cl0, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X5 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.78 = (X0))),
% 146.77/21.78 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.78 thf(zip_derived_cl0, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X5 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.78 = (X0))),
% 146.77/21.78 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.78 thf(zip_derived_cl0, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X5 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.78 = (X0))),
% 146.77/21.78 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.78 thf(zip_derived_cl0, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X5 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X1 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.78 = (X0))),
% 146.77/21.78 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.78 thf(zip_derived_cl10, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 146.77/21.78 X2) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.78 X5) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.78 X5) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 146.77/21.78 X2)))
% 146.77/21.78 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 146.77/21.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 146.77/21.78 thf(zip_derived_cl70, plain,
% 146.77/21.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 146.77/21.78 X7 : $i, X8 : $i]:
% 146.77/21.78 ((join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X6 @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
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% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.78 (join @
% 146.77/21.78 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @
% 146.77/21.78 (join @
% 146.77/21.78 (meet @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.78 (meet @ X4 @
% 146.77/21.78 (join @ X0 @
% 146.77/21.78 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 146.77/21.78 X0)))) @
% 146.77/21.78 (join @ X3 @
% 146.77/21.78 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 146.77/21.79 X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @
% 146.77/21.79 (join @ X6 @ X0))) @
% 146.77/21.79 X5)))
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl120, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 146.77/21.79 X7 : $i, X8 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X6 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X8) @ (meet @ X7 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X6 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X8) @ (meet @ X7 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl70, zip_derived_cl0, zip_derived_cl0,
% 146.77/21.79 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 146.77/21.79 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 146.77/21.79 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 146.77/21.79 zip_derived_cl0])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl10, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 146.77/21.79 X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 X5) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 X5) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 146.77/21.79 X2)))
% 146.77/21.79 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 146.77/21.79 thf(zip_derived_cl365, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
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% 146.77/21.79 X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 X0))) @
% 146.77/21.79 X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
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% 146.77/21.79 X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
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% 146.77/21.79 X0))) @
% 146.77/21.79 X0)))) @
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% 146.77/21.79 X0) @
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% 146.77/21.79 X0))) @
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% 146.77/21.79 X0) @
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% 146.77/21.79 X0))) @
% 146.77/21.79 X0))) @
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% 146.77/21.79 X0) @
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% 146.77/21.79 X0))) @
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% 146.77/21.79 X0) @
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% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 X0))) @
% 146.77/21.79 X0)))))) @
% 146.77/21.79 X2) @
% 146.77/21.79 (meet @
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% 146.77/21.79 X0) @
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% 146.77/21.79 X0))) @
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% 146.77/21.79 X0) @
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% 146.77/21.79 X0))) @
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% 146.77/21.79 X0))) @
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% 146.77/21.79 X0))) @
% 146.77/21.79 X0))))) @
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% 146.77/21.79 (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 X0))) @
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% 146.77/21.79 X0))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl10])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
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% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
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% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl848, plain,
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% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 X7) @
% 146.77/21.79 (meet @ X6 @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 146.77/21.79 X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 X7) @
% 146.77/21.79 (meet @ X6 @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 146.77/21.79 X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 146.77/21.79 (join @ X0 @ X5)))
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl491])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl0, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X1 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('cnf', [status(esa)], [single_axiom])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl393, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 146.77/21.79 X0))) @
% 146.77/21.79 X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 146.77/21.79 X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 146.77/21.79 X0))) @
% 146.77/21.79 X0))) @
% 146.77/21.79 X1) @
% 146.77/21.79 (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl249, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 146.77/21.79 X1)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl882, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X4 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl848, zip_derived_cl0, zip_derived_cl0,
% 146.77/21.79 zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl1689, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl1689, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @
% 146.77/21.79 X4) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 X6) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 146.77/21.79 X6) @
% 146.77/21.79 (meet @ X5 @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 146.77/21.79 (join @ X0 @ X4)))
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl491])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl491, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 146.77/21.79 zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl886, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491,
% 146.77/21.79 zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl970, plain,
% 146.77/21.79 (![X0 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @
% 146.77/21.79 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 146.77/21.79 = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl491, zip_derived_cl886])).
% 146.77/21.79 thf(zip_derived_cl1852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 146.77/21.79 thf(zip_derived_cl1689, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ X0 @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl2016, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl886, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 146.77/21.79 ((X0)
% 146.77/21.79 = (join @
% 146.77/21.79 (meet @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 146.77/21.79 (meet @ X0 @
% 146.77/21.79 (join @ X3 @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491,
% 146.77/21.79 zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl2087, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl1852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2154, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X1 @ X0)
% 146.77/21.79 = (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl2226, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)
% 146.77/21.79 = (meet @
% 146.77/21.79 (meet @ X0 @ (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2154])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2232, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2155, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ X1)
% 146.77/21.79 = (meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl2472, plain,
% 146.77/21.79 (![X0 : $i]:
% 146.77/21.79 ((meet @ (meet @ X0 @ X0) @ X0)
% 146.77/21.79 = (meet @
% 146.77/21.79 (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl2155])).
% 146.77/21.79 thf(zip_derived_cl2232, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl2232, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl2232, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl2520, plain,
% 146.77/21.79 ((((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((join @ a @ a) != (a))
% 146.77/21.79 | ((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.79 | ((a) != (a)))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl2521, plain,
% 146.77/21.79 ((((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.79 | ((join @ a @ a) != (a))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b)))),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl2520])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl2544, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (join @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl1852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 146.77/21.79 thf(zip_derived_cl2614, plain,
% 146.77/21.79 (![X0 : $i]:
% 146.77/21.79 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2544, zip_derived_cl1852])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl2087, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 146.77/21.79 thf(zip_derived_cl2130, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 146.77/21.79 thf(zip_derived_cl2534, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (join @ (join @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl2130])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl2680, plain,
% 146.77/21.79 ((((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.79 | ((a) != (a))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2521, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2681, plain,
% 146.77/21.79 ((((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((meet @ b @ a) != (meet @ a @ b)))),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl2680])).
% 146.77/21.79 thf(zip_derived_cl1852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2016, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl2522, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ X0 @ (meet @ X3 @ (join @ X0 @ X0))))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2016, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl2685, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2522, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2232, plain,
% 146.77/21.79 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 146.77/21.79 thf(zip_derived_cl1852, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 146.77/21.79 thf(zip_derived_cl2252, plain,
% 146.77/21.79 (![X0 : $i]:
% 146.77/21.79 ((join @ X0 @ (meet @ X0 @ (join @ (meet @ X0 @ X0) @ X0))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl1852])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl2281, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2690, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X1 @ X0)
% 146.77/21.79 = (meet @ (meet @ (meet @ X1 @ X0) @ X0) @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2685, zip_derived_cl2281])).
% 146.77/21.79 thf(zip_derived_cl3000, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ (join @ X0 @ X1) @ X0)
% 146.77/21.79 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2690])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl541, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 146.77/21.79 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl3068, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @
% 146.77/21.79 (meet @ (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)) @
% 146.77/21.79 (meet @ X0 @ (join @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))) @
% 146.77/21.79 (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0))
% 146.77/21.79 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3000, zip_derived_cl541])).
% 146.77/21.79 thf(zip_derived_cl3000, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ (join @ X0 @ X1) @ X0)
% 146.77/21.79 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2690])).
% 146.77/21.79 thf(zip_derived_cl2685, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2522, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2121, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl3000, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ (join @ X0 @ X1) @ X0)
% 146.77/21.79 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2690])).
% 146.77/21.79 thf(zip_derived_cl3122, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3068, zip_derived_cl3000, zip_derived_cl2685,
% 146.77/21.79 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 146.77/21.79 zip_derived_cl2632, zip_derived_cl3000])).
% 146.77/21.79 thf(zip_derived_cl3168, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl2087, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 146.77/21.79 thf(zip_derived_cl3209, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X1 @ X0) @ (meet @ X2 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3168, zip_derived_cl2087])).
% 146.77/21.79 thf(zip_derived_cl3901, plain,
% 146.77/21.79 ((((b) != (b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((meet @ b @ a) != (meet @ a @ b)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2681, zip_derived_cl3209])).
% 146.77/21.79 thf(zip_derived_cl3902, plain,
% 146.77/21.79 ((((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b)))),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl3901])).
% 146.77/21.79 thf(zip_derived_cl2281, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl2130, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 146.77/21.79 thf(zip_derived_cl3122, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3068, zip_derived_cl3000, zip_derived_cl2685,
% 146.77/21.79 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 146.77/21.79 zip_derived_cl2632, zip_derived_cl3000])).
% 146.77/21.79 thf(zip_derived_cl3164, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ X0)
% 146.77/21.79 = (meet @ X0 @ (join @ (meet @ X0 @ X1) @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2130, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl2281, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl3411, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((X0) = (meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3164, zip_derived_cl2281])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl3457, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ X0 @
% 146.77/21.79 (meet @ (join @ (meet @ X0 @ X1) @ X0) @
% 146.77/21.79 (join @ (join @ (meet @ X0 @ X1) @ X0) @ X0)))
% 146.77/21.79 = (join @ (meet @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3411, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl2130, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 146.77/21.79 thf(zip_derived_cl3411, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((X0) = (meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3164, zip_derived_cl2281])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl3486, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3457, zip_derived_cl2130, zip_derived_cl3411,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3515, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ (join @ X1 @ X0))
% 146.77/21.79 = (join @ X0 @ (meet @ X0 @ (join @ X1 @ X0))))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2281, zip_derived_cl3486])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl3587, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0))) @
% 146.77/21.79 (meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3515, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl3122, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3068, zip_derived_cl3000, zip_derived_cl2685,
% 146.77/21.79 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 146.77/21.79 zip_derived_cl2632, zip_derived_cl3000])).
% 146.77/21.79 thf(zip_derived_cl3169, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl3169, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl3627, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3587, zip_derived_cl3169, zip_derived_cl3169,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2685, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2522, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl2694, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) = (X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2685, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 146.77/21.79 zip_derived_cl2232])).
% 146.77/21.79 thf(zip_derived_cl2713, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2694, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl3168, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl3193, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2713, zip_derived_cl3168])).
% 146.77/21.79 thf(zip_derived_cl3645, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3627, zip_derived_cl3193])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl3745, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3645, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl4025, plain,
% 146.77/21.79 ((((meet @ b @ a) != (meet @ a @ b))
% 146.77/21.79 | ((join @ b @ a) != (join @ a @ b))
% 146.77/21.79 | ((b) != (b)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3902, zip_derived_cl3745])).
% 146.77/21.79 thf(zip_derived_cl4026, plain,
% 146.77/21.79 ((((join @ b @ a) != (join @ a @ b)) | ((meet @ b @ a) != (meet @ a @ b)))),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl4025])).
% 146.77/21.79 thf(zip_derived_cl3486, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3457, zip_derived_cl2130, zip_derived_cl3411,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3122, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3068, zip_derived_cl3000, zip_derived_cl2685,
% 146.77/21.79 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 146.77/21.79 zip_derived_cl2632, zip_derived_cl3000])).
% 146.77/21.79 thf(zip_derived_cl3486, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3457, zip_derived_cl2130, zip_derived_cl3411,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3513, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ X0 @ X1) = (join @ X0 @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3122, zip_derived_cl3486])).
% 146.77/21.79 thf(zip_derived_cl427, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 146.77/21.79 thf(zip_derived_cl3534, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ (join @ X1 @ X0)) @
% 146.77/21.79 (meet @ X1 @ (join @ X1 @ X0))) = (X1))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3513, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl4285, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ (meet @ X0 @ X1) @ (join @ (meet @ X0 @ X1) @ X0)) @
% 146.77/21.79 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3486, zip_derived_cl3534])).
% 146.77/21.79 thf(zip_derived_cl3486, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3457, zip_derived_cl2130, zip_derived_cl3411,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl4319, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X0 @ X1) @ X0) = (meet @ X0 @ X1))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl4285, zip_derived_cl3486, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2685, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2522, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl4399, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X1) = (join @ X1 @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4319, zip_derived_cl2685])).
% 146.77/21.79 thf(zip_derived_cl3193, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2713, zip_derived_cl3168])).
% 146.77/21.79 thf(zip_derived_cl1996, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 146.77/21.79 thf(zip_derived_cl3258, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((meet @ X1 @ X0)
% 146.77/21.79 = (meet @ (meet @ X0 @ (join @ X2 @ (meet @ X1 @ X0))) @
% 146.77/21.79 (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3193, zip_derived_cl1996])).
% 146.77/21.79 thf(zip_derived_cl7552, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ X1) = (meet @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4399, zip_derived_cl3258])).
% 146.77/21.79 thf(zip_derived_cl4319, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X0 @ X1) @ X0) = (meet @ X0 @ X1))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl4285, zip_derived_cl3486, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl7726, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ (meet @ X1 @ X0) @ (meet @ X0 @ X1))
% 146.77/21.79 = (meet @ (meet @ X0 @ X1) @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl7552, zip_derived_cl4319])).
% 146.77/21.79 thf(zip_derived_cl7552, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ X1) = (meet @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4399, zip_derived_cl3258])).
% 146.77/21.79 thf(zip_derived_cl7552, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ X1) = (meet @ (meet @ X1 @ X0) @ (meet @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4399, zip_derived_cl3258])).
% 146.77/21.79 thf(zip_derived_cl7873, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X1 @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl7726, zip_derived_cl7552, zip_derived_cl7552])).
% 146.77/21.79 thf(zip_derived_cl7880, plain,
% 146.77/21.79 ((((join @ b @ a) != (join @ a @ b)) | ((meet @ a @ b) != (meet @ a @ b)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl4026, zip_derived_cl7873])).
% 146.77/21.79 thf(zip_derived_cl7881, plain, (((join @ b @ a) != (join @ a @ b))),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl7880])).
% 146.77/21.79 thf(zip_derived_cl3534, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (meet @ X1 @ (join @ X1 @ X0)) @
% 146.77/21.79 (meet @ X1 @ (join @ X1 @ X0))) = (X1))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3513, zip_derived_cl427])).
% 146.77/21.79 thf(zip_derived_cl2632, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2614, zip_derived_cl2534, zip_derived_cl2492])).
% 146.77/21.79 thf(zip_derived_cl4274, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3534, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3627, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3587, zip_derived_cl3169, zip_derived_cl3169,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3168, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl3122])).
% 146.77/21.79 thf(zip_derived_cl3644, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((meet @ X0 @ (join @ X1 @ X0)) = (meet @ (join @ X1 @ X0) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3627, zip_derived_cl3168])).
% 146.77/21.79 thf(zip_derived_cl3627, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3587, zip_derived_cl3169, zip_derived_cl3169,
% 146.77/21.79 zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl3681, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl3644, zip_derived_cl3627])).
% 146.77/21.79 thf(zip_derived_cl2087, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 146.77/21.79 thf(zip_derived_cl3707, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 146.77/21.79 ((join @ X1 @ X0)
% 146.77/21.79 = (join @ (join @ X0 @ (meet @ X2 @ (join @ X1 @ X0))) @
% 146.77/21.79 (join @ X1 @ X0)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3681, zip_derived_cl2087])).
% 146.77/21.79 thf(zip_derived_cl44392, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ X0 @ X1) = (join @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4274, zip_derived_cl3707])).
% 146.77/21.79 thf(zip_derived_cl4274, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl3534, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl2685, plain,
% 146.77/21.79 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl2522, zip_derived_cl2632])).
% 146.77/21.79 thf(zip_derived_cl4370, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ X0 @ X1) = (join @ (join @ X0 @ X1) @ X0))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4274, zip_derived_cl2685])).
% 146.77/21.79 thf(zip_derived_cl44675, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ (join @ X0 @ X1) @ (join @ X1 @ X0))
% 146.77/21.79 = (join @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)],
% 146.77/21.79 [zip_derived_cl44392, zip_derived_cl4370])).
% 146.77/21.79 thf(zip_derived_cl44392, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ X0 @ X1) = (join @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4274, zip_derived_cl3707])).
% 146.77/21.79 thf(zip_derived_cl44392, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]:
% 146.77/21.79 ((join @ X0 @ X1) = (join @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 146.77/21.79 inference('sup+', [status(thm)], [zip_derived_cl4274, zip_derived_cl3707])).
% 146.77/21.79 thf(zip_derived_cl44908, plain,
% 146.77/21.79 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl44675, zip_derived_cl44392, zip_derived_cl44392])).
% 146.77/21.79 thf(zip_derived_cl44915, plain, (((join @ a @ b) != (join @ a @ b))),
% 146.77/21.79 inference('demod', [status(thm)],
% 146.77/21.79 [zip_derived_cl7881, zip_derived_cl44908])).
% 146.77/21.79 thf(zip_derived_cl44916, plain, ($false),
% 146.77/21.79 inference('simplify', [status(thm)], [zip_derived_cl44915])).
% 146.77/21.79
% 146.77/21.79 % SZS output end Refutation
% 146.77/21.79
% 146.77/21.79
% 146.77/21.79 % Terminating...
% 147.32/21.90 % Runner terminated.
% 147.32/21.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------