TSTP Solution File: LAT097-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WDzgVU5GOS true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:45:55 EDT 2023

% Result   : Unsatisfiable 23.46s 4.10s
% Output   : Refutation 23.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WDzgVU5GOS true
% 0.18/0.35  % Computer : n013.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Thu Aug 24 05:30:47 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.10/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 23.46/4.10  % Solved by fo/fo7.sh.
% 23.46/4.10  % done 270 iterations in 3.279s
% 23.46/4.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.46/4.10  % SZS output start Refutation
% 23.46/4.10  thf(b_type, type, b: $i).
% 23.46/4.10  thf(a_type, type, a: $i).
% 23.46/4.10  thf(meet_type, type, meet: $i > $i > $i).
% 23.46/4.10  thf(join_type, type, join: $i > $i > $i).
% 23.46/4.10  thf(c_type, type, c: $i).
% 23.46/4.10  thf(prove_wal_axioms_6, conjecture,
% 23.46/4.10    (( join @ ( join @ ( meet @ a @ b ) @ ( meet @ c @ b ) ) @ b ) = ( b ))).
% 23.46/4.10  thf(zf_stmt_0, negated_conjecture,
% 23.46/4.10    (( join @ ( join @ ( meet @ a @ b ) @ ( meet @ c @ b ) ) @ b ) != ( b )),
% 23.46/4.10    inference('cnf.neg', [status(esa)], [prove_wal_axioms_6])).
% 23.46/4.10  thf(zip_derived_cl1, plain,
% 23.46/4.10      (((join @ (join @ (meet @ a @ b) @ (meet @ c @ b)) @ b) != (b))),
% 23.46/4.10      inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.46/4.10  thf(single_axiom, axiom,
% 23.46/4.10    (( join @
% 23.46/4.10       ( meet @
% 23.46/4.10         ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @ 
% 23.46/4.10       ( meet @
% 23.46/4.10         ( join @
% 23.46/4.10           ( meet @
% 23.46/4.10             A @ ( join @ ( join @ ( meet @ B @ D ) @ ( meet @ E @ B ) ) @ B ) ) @ 
% 23.46/4.10           ( meet @
% 23.46/4.10             ( join @
% 23.46/4.10               ( meet @
% 23.46/4.10                 B @ 
% 23.46/4.10                 ( meet @ ( meet @ ( join @ B @ D ) @ ( join @ E @ B ) ) @ B ) ) @ 
% 23.46/4.10               ( meet @
% 23.46/4.10                 F @ 
% 23.46/4.10                 ( join @
% 23.46/4.10                   B @ 
% 23.46/4.10                   ( meet @ ( meet @ ( join @ B @ D ) @ ( join @ E @ B ) ) @ B ) ) ) ) @ 
% 23.46/4.10             ( join @
% 23.46/4.10               A @ 
% 23.46/4.10               ( join @ ( join @ ( meet @ B @ D ) @ ( meet @ E @ B ) ) @ B ) ) ) ) @ 
% 23.46/4.10         ( join @
% 23.46/4.10           ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 23.46/4.10     ( B ))).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl10, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 23.46/4.10            X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                 X5) @ 
% 23.46/4.10                (meet @ X4 @ 
% 23.46/4.10                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X5) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 23.46/4.10             X2)))
% 23.46/4.10           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.46/4.10  thf(zip_derived_cl70, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 23.46/4.10         X7 : $i, X8 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X6 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @ 
% 23.46/4.10              (join @ X6 @ 
% 23.46/4.10               (join @ 
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% 23.46/4.10                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                     (meet @ X4 @ 
% 23.46/4.10                      (join @ X0 @ 
% 23.46/4.10                       (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ 
% 23.46/4.10                        X0)))) @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                     (meet @ X4 @ 
% 23.46/4.10                      (join @ X0 @ 
% 23.46/4.10                       (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ 
% 23.46/4.10                        X0)))) @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @ 
% 23.46/4.10               (join @ X6 @ X0))) @ 
% 23.46/4.10             X5)))
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X4 @ 
% 23.46/4.10                   (join @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X4 @ 
% 23.46/4.10                   (join @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl120, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 23.46/4.10         X7 : $i, X8 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X6 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X8) @ (meet @ X7 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X6 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X8) @ (meet @ X7 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl70, zip_derived_cl0, zip_derived_cl0, 
% 23.46/4.10                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 23.46/4.10                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 23.46/4.10                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 23.46/4.10                 zip_derived_cl0])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl10, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 23.46/4.10            X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                 X5) @ 
% 23.46/4.10                (meet @ X4 @ 
% 23.46/4.10                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X5) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 23.46/4.10                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 23.46/4.10             X2)))
% 23.46/4.10           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.46/4.10  thf(zip_derived_cl365, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X0) @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0))) @ 
% 23.46/4.10                X0) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0)))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X0) @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0))) @ 
% 23.46/4.10                X0) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0))) @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X0)))))) @ 
% 23.46/4.10            X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0) @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (join @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0) @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (join @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X5) @ 
% 23.46/4.10                (meet @ X4 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0) @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (join @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0) @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (join @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0))) @ 
% 23.46/4.10                    X0))))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X0))))) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0) @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (join @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ 
% 23.46/4.10                      (meet @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0) @ 
% 23.46/4.10                      (meet @ X0 @ 
% 23.46/4.10                       (join @ 
% 23.46/4.10                        (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                         (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                        X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X5) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0) @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (join @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ 
% 23.46/4.10                      (meet @ 
% 23.46/4.10                       (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                       X0) @ 
% 23.46/4.10                      (meet @ X0 @ 
% 23.46/4.10                       (join @ 
% 23.46/4.10                        (join @ (meet @ X1 @ X0) @ 
% 23.46/4.10                         (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                        X0))) @ 
% 23.46/4.10                     X0))))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X0) @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0) @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (join @ 
% 23.46/4.10                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                      X0))) @ 
% 23.46/4.10                   X0))))))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X0)))) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                    X0) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                     X0))) @ 
% 23.46/4.10                  X0))) @ 
% 23.46/4.10               (join @ X3 @ X0))) @ 
% 23.46/4.10             X2)))
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X0))) @ 
% 23.46/4.10               X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                  X0) @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 23.46/4.10                   X0))) @ 
% 23.46/4.10                X0))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl10])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl848, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X4 @ 
% 23.46/4.10                   (join @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @ 
% 23.46/4.10            X5) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 X7) @ 
% 23.46/4.10                (meet @ X6 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ 
% 23.46/4.10                   (join @ 
% 23.46/4.10                    (meet @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                    (meet @ X4 @ 
% 23.46/4.10                     (join @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X4 @ 
% 23.46/4.10                   (join @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ X4 @ 
% 23.46/4.10                  (join @ X0 @ 
% 23.46/4.10                   (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                     (meet @ X4 @ 
% 23.46/4.10                      (join @ X0 @ 
% 23.46/4.10                       (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ 
% 23.46/4.10                        X0)))) @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  X7) @ 
% 23.46/4.10                 (meet @ X6 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ 
% 23.46/4.10                    (join @ 
% 23.46/4.10                     (meet @ X0 @ 
% 23.46/4.10                      (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                     (meet @ X4 @ 
% 23.46/4.10                      (join @ X0 @ 
% 23.46/4.10                       (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ 
% 23.46/4.10                        X0)))) @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X4 @ 
% 23.46/4.10                    (join @ X0 @ 
% 23.46/4.10                     (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @ 
% 23.46/4.10            (join @ X0 @ X5)))
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ X4 @ 
% 23.46/4.10                 (join @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl491])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl0, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X1 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X5 @ 
% 23.46/4.10                (join @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ X1 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('cnf', [status(esa)], [single_axiom])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl393, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 23.46/4.10                 X0))) @ 
% 23.46/4.10              X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 23.46/4.10                 X0) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 23.46/4.10                  X0))) @ 
% 23.46/4.10               X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl249, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10            X1) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 23.46/4.10             X1)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 23.46/4.10  thf(zip_derived_cl427, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i]:
% 23.46/4.10         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.10      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl882, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.46/4.10         ((X0)
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10              (meet @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ X4 @ 
% 23.46/4.10                 (join @ X0 @ 
% 23.46/4.10                  (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl848, zip_derived_cl0, zip_derived_cl0, 
% 23.46/4.10                 zip_derived_cl427])).
% 23.46/4.10  thf(zip_derived_cl427, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i]:
% 23.46/4.10         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.10      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl1689, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.46/4.10         ((X0)
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ X0 @ 
% 23.46/4.10                (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl852, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @ 
% 23.46/4.10            X4) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                 X6) @ 
% 23.46/4.10                (meet @ X5 @ 
% 23.46/4.10                 (join @ 
% 23.46/4.10                  (meet @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                  (meet @ X0 @ 
% 23.46/4.10                   (join @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (meet @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                (meet @ X0 @ 
% 23.46/4.10                 (join @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10             (meet @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (meet @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10               (meet @ X0 @ 
% 23.46/4.10                (join @ X3 @ 
% 23.46/4.10                 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10              (join @ 
% 23.46/4.10               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 23.46/4.10               (join @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @ 
% 23.46/4.10                  X6) @ 
% 23.46/4.10                 (meet @ X5 @ 
% 23.46/4.10                  (join @ 
% 23.46/4.10                   (meet @ X3 @ 
% 23.46/4.10                    (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                   (meet @ X0 @ 
% 23.46/4.10                    (join @ X3 @ 
% 23.46/4.10                     (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @ 
% 23.46/4.10                (join @ 
% 23.46/4.10                 (meet @ X3 @ 
% 23.46/4.10                  (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10                 (meet @ X0 @ 
% 23.46/4.10                  (join @ X3 @ 
% 23.46/4.10                   (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @ 
% 23.46/4.10            (join @ X0 @ X4)))
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl491])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl491, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (meet @ X3 @ 
% 23.46/4.10              (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @ 
% 23.46/4.10             (meet @ X0 @ 
% 23.46/4.10              (join @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249, 
% 23.46/4.10                 zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl427, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i]:
% 23.46/4.10         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.10      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.10  thf(zip_derived_cl886, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.46/4.10         ((X0)
% 23.46/4.10           = (join @ 
% 23.46/4.10              (meet @ X3 @ 
% 23.46/4.10               (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.10              (meet @ X0 @ 
% 23.46/4.10               (join @ X3 @ 
% 23.46/4.10                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 23.46/4.10      inference('demod', [status(thm)],
% 23.46/4.10                [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491, 
% 23.46/4.10                 zip_derived_cl427])).
% 23.46/4.10  thf(zip_derived_cl970, plain,
% 23.46/4.10      (![X0 : $i, X2 : $i, X3 : $i]:
% 23.46/4.10         ((join @ 
% 23.46/4.10           (meet @ 
% 23.46/4.10            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 23.46/4.10           (meet @ X0 @ 
% 23.46/4.10            (join @ 
% 23.46/4.10             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 23.46/4.10           = (X0))),
% 23.46/4.10      inference('demod', [status(thm)], [zip_derived_cl491, zip_derived_cl886])).
% 23.46/4.10  thf(zip_derived_cl1852, plain,
% 23.46/4.10      (![X0 : $i, X1 : $i]:
% 23.46/4.10         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 23.46/4.10      inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 23.46/4.10  thf(zip_derived_cl1689, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.46/4.11         ((X0)
% 23.46/4.11           = (join @ 
% 23.46/4.11              (meet @ X0 @ 
% 23.46/4.11               (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.11              (meet @ X3 @ 
% 23.46/4.11               (join @ X0 @ 
% 23.46/4.11                (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 23.46/4.11  thf(zip_derived_cl1852, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 23.46/4.11  thf(zip_derived_cl1689, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.46/4.11         ((X0)
% 23.46/4.11           = (join @ 
% 23.46/4.11              (meet @ X0 @ 
% 23.46/4.11               (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @ 
% 23.46/4.11              (meet @ X3 @ 
% 23.46/4.11               (join @ X0 @ 
% 23.46/4.11                (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl2016, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl886, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.46/4.11         ((X0)
% 23.46/4.11           = (join @ 
% 23.46/4.11              (meet @ X3 @ 
% 23.46/4.11               (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @ 
% 23.46/4.11              (meet @ X0 @ 
% 23.46/4.11               (join @ X3 @ 
% 23.46/4.11                (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491, 
% 23.46/4.11                 zip_derived_cl427])).
% 23.46/4.11  thf(zip_derived_cl2087, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2016, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl1852, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2154, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ X1 @ X0)
% 23.46/4.11           = (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X1 @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl2226, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)
% 23.46/4.11           = (meet @ 
% 23.46/4.11              (meet @ X0 @ (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2154])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2232, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl427, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.11      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2155, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ X0 @ X1)
% 23.46/4.11           = (meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl2472, plain,
% 23.46/4.11      (![X0 : $i]:
% 23.46/4.11         ((meet @ (meet @ X0 @ X0) @ X0)
% 23.46/4.11           = (meet @ 
% 23.46/4.11              (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl2155])).
% 23.46/4.11  thf(zip_derived_cl2232, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl2232, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl2232, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232, 
% 23.46/4.11                 zip_derived_cl2232])).
% 23.46/4.11  thf(zip_derived_cl2520, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (join @ X0 @ (meet @ X3 @ (join @ X0 @ X0))))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2016, zip_derived_cl2492])).
% 23.46/4.11  thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232, 
% 23.46/4.11                 zip_derived_cl2232])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl2542, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (join @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl1852, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 23.46/4.11  thf(zip_derived_cl2612, plain,
% 23.46/4.11      (![X0 : $i]:
% 23.46/4.11         ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2542, zip_derived_cl1852])).
% 23.46/4.11  thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232, 
% 23.46/4.11                 zip_derived_cl2232])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl2087, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 23.46/4.11  thf(zip_derived_cl2130, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 23.46/4.11  thf(zip_derived_cl2532, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (join @ (join @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl2130])).
% 23.46/4.11  thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232, 
% 23.46/4.11                 zip_derived_cl2232])).
% 23.46/4.11  thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 23.46/4.11  thf(zip_derived_cl2681, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2520, zip_derived_cl2630])).
% 23.46/4.11  thf(zip_derived_cl2232, plain,
% 23.46/4.11      (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 23.46/4.11  thf(zip_derived_cl1852, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 23.46/4.11  thf(zip_derived_cl2252, plain,
% 23.46/4.11      (![X0 : $i]:
% 23.46/4.11         ((join @ X0 @ (meet @ X0 @ (join @ (meet @ X0 @ X0) @ X0))) = (X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl1852])).
% 23.46/4.11  thf(zip_derived_cl1996, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 23.46/4.11  thf(zip_derived_cl2281, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2686, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ X1 @ X0)
% 23.46/4.11           = (meet @ (meet @ (meet @ X1 @ X0) @ X0) @ (meet @ X1 @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2681, zip_derived_cl2281])).
% 23.46/4.11  thf(zip_derived_cl2997, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ (join @ X0 @ X1) @ X0)
% 23.46/4.11           = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 23.46/4.11  thf(zip_derived_cl427, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.11      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.11  thf(zip_derived_cl427, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 23.46/4.11      inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 23.46/4.11  thf(zip_derived_cl541, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 23.46/4.11           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl427])).
% 23.46/4.11  thf(zip_derived_cl3065, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((join @ 
% 23.46/4.11           (meet @ (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)) @ 
% 23.46/4.11            (meet @ X0 @ (join @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))) @ 
% 23.46/4.11           (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0))
% 23.46/4.11           = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2997, zip_derived_cl541])).
% 23.46/4.11  thf(zip_derived_cl2997, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ (join @ X0 @ X1) @ X0)
% 23.46/4.11           = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 23.46/4.11  thf(zip_derived_cl2681, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2520, zip_derived_cl2630])).
% 23.46/4.11  thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232, 
% 23.46/4.11                 zip_derived_cl2232])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2121, plain,
% 23.46/4.11      (![X0 : $i, X3 : $i]:
% 23.46/4.11         ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 23.46/4.11  thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 23.46/4.11  thf(zip_derived_cl2997, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]:
% 23.46/4.11         ((meet @ (join @ X0 @ X1) @ X0)
% 23.46/4.11           = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 23.46/4.11  thf(zip_derived_cl3119, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 23.46/4.11      inference('demod', [status(thm)],
% 23.46/4.11                [zip_derived_cl3065, zip_derived_cl2997, zip_derived_cl2681, 
% 23.46/4.11                 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121, 
% 23.46/4.11                 zip_derived_cl2630, zip_derived_cl2997])).
% 23.46/4.11  thf(zip_derived_cl3165, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl3119])).
% 23.46/4.11  thf(zip_derived_cl2087, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 23.46/4.11  thf(zip_derived_cl3206, plain,
% 23.46/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 23.46/4.11         ((X0) = (join @ (join @ (meet @ X1 @ X0) @ (meet @ X2 @ X0)) @ X0))),
% 23.46/4.11      inference('sup+', [status(thm)], [zip_derived_cl3165, zip_derived_cl2087])).
% 23.46/4.11  thf(zip_derived_cl3898, plain, (((b) != (b))),
% 23.46/4.11      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3206])).
% 23.46/4.11  thf(zip_derived_cl3899, plain, ($false),
% 23.46/4.11      inference('simplify', [status(thm)], [zip_derived_cl3898])).
% 23.46/4.11  
% 23.46/4.11  % SZS output end Refutation
% 23.46/4.11  
% 23.46/4.11  
% 23.46/4.11  % Terminating...
% 24.78/4.22  % Runner terminated.
% 24.78/4.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------