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Zipperpin---2.1.9999.UNS-Ref.s

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Process solution in
SystemOnTSTP
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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT087-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VcU7pQkTsL true

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:41:03 PM UTC 2025

% Result   : Unsatisfiable 49.99s 7.78s
% Output   : Refutation 49.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT087-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VcU7pQkTsL true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 14:33:23 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 49.99/7.78  % Solved by fo/fo7.sh.
% 49.99/7.78  % done 895 iterations in 6.959s
% 49.99/7.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 49.99/7.78  % SZS output start Refutation
% 49.99/7.78  thf(a_type, type, a: $i).
% 49.99/7.78  thf(meet_type, type, meet: $i > $i > $i).
% 49.99/7.78  thf(join_type, type, join: $i > $i > $i).
% 49.99/7.78  thf(b_type, type, b: $i).
% 49.99/7.78  thf(prove_normal_axioms_8, conjecture,
% 49.99/7.78    (( join @ a @ ( meet @ a @ b ) ) = ( a ))).
% 49.99/7.78  thf(zf_stmt_0, negated_conjecture,
% 49.99/7.78    (( join @ a @ ( meet @ a @ b ) ) != ( a )),
% 49.99/7.78    inference('cnf.neg', [status(esa)], [prove_normal_axioms_8])).
% 49.99/7.78  thf(zip_derived_cl1, plain, (((join @ a @ (meet @ a @ b)) != (a))),
% 49.99/7.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.99/7.78  thf(single_axiom, axiom,
% 49.99/7.78    (( join @
% 49.99/7.78       ( meet @
% 49.99/7.78         ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @ 
% 49.99/7.78       ( meet @
% 49.99/7.78         ( join @
% 49.99/7.78           ( meet @
% 49.99/7.78             A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @ 
% 49.99/7.78           ( meet @
% 49.99/7.78             ( join @
% 49.99/7.78               ( meet @
% 49.99/7.78                 B @ 
% 49.99/7.78                 ( meet @
% 49.99/7.78                   ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ 
% 49.99/7.78                   B ) ) @ 
% 49.99/7.78               ( meet @
% 49.99/7.78                 G @ 
% 49.99/7.78                 ( join @
% 49.99/7.78                   B @ 
% 49.99/7.78                   ( meet @
% 49.99/7.78                     ( meet @
% 49.99/7.78                       ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ 
% 49.99/7.78                     B ) ) ) ) @ 
% 49.99/7.78             ( join @
% 49.99/7.78               A @ 
% 49.99/7.78               ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @ 
% 49.99/7.78         ( join @
% 49.99/7.78           ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 49.99/7.78     ( B ))).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl12, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 49.99/7.78            X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X5 @ 
% 49.99/7.78                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                 X4)) @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X4)) @ 
% 49.99/7.78                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ X3 @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78               (join @ X3 @ 
% 49.99/7.78                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 49.99/7.78             X2)))
% 49.99/7.78           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 49.99/7.78  thf(zip_derived_cl80, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 49.99/7.78         X7 : $i, X8 : $i, X9 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X7 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)) @ 
% 49.99/7.78                   (meet @ X5 @ 
% 49.99/7.78                    (join @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)))) @ 
% 49.99/7.78                  (join @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)) @ 
% 49.99/7.78                   (meet @ X5 @ 
% 49.99/7.78                    (join @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)))) @ 
% 49.99/7.78                  (join @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)) @ 
% 49.99/7.78                    (meet @ X5 @ 
% 49.99/7.78                     (join @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)) @ 
% 49.99/7.78                   (meet @ X5 @ 
% 49.99/7.78                    (join @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)))) @ 
% 49.99/7.78                  (join @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
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% 49.99/7.78                     (join @ 
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% 49.99/7.78                        (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ 
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% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
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% 49.99/7.78                       (meet @ 
% 49.99/7.78                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
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% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (join @ 
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% 49.99/7.78                         (join @ X4 @ X0)) @ 
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% 49.99/7.78                         X0)))) @ 
% 49.99/7.78                     (join @ X3 @ 
% 49.99/7.78                      (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ X7 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
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% 49.99/7.78                 (join @ 
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% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
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% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78                (meet @ 
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% 49.99/7.78                    (meet @ X5 @ 
% 49.99/7.78                     (join @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                   (meet @ 
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% 49.99/7.78                        (join @ X4 @ X0)) @ 
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% 49.99/7.78                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                         (join @ X4 @ X0)) @ 
% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
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% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
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% 49.99/7.78                      X0)) @ 
% 49.99/7.78                    (meet @ X5 @ 
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% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78                (meet @ 
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% 49.99/7.78                  (meet @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
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% 49.99/7.78                      X0)) @ 
% 49.99/7.78                    (meet @ X5 @ 
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% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                  (join @ 
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% 49.99/7.78                   (meet @ 
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% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)) @ 
% 49.99/7.78                     (meet @ X5 @ 
% 49.99/7.78                      (join @ X0 @ 
% 49.99/7.78                       (meet @ 
% 49.99/7.78                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                         (join @ X4 @ X0)) @ 
% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 49.99/7.78               (join @ X7 @ X0))) @ 
% 49.99/7.78             X6)))
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
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% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)) @ 
% 49.99/7.78                  (meet @ X5 @ 
% 49.99/7.78                   (join @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)))) @ 
% 49.99/7.78                 (join @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)) @ 
% 49.99/7.78                  (meet @ X5 @ 
% 49.99/7.78                   (join @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)))) @ 
% 49.99/7.78                 (join @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)) @ 
% 49.99/7.78                   (meet @ X5 @ 
% 49.99/7.78                    (join @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)))) @ 
% 49.99/7.78                  (join @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl130, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 49.99/7.78         X7 : $i, X8 : $i, X9 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X7 @ 
% 49.99/7.78              (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)) @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)))) @ 
% 49.99/7.78                (join @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78              (join @ X7 @ 
% 49.99/7.78               (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('demod', [status(thm)],
% 49.99/7.78                [zip_derived_cl80, zip_derived_cl0, zip_derived_cl0, 
% 49.99/7.78                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 49.99/7.78                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 49.99/7.78                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 49.99/7.78                 zip_derived_cl0])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl12, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 49.99/7.78            X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X5 @ 
% 49.99/7.78                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                 X4)) @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X4)) @ 
% 49.99/7.78                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ X3 @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78               (join @ X3 @ 
% 49.99/7.78                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 49.99/7.78             X2)))
% 49.99/7.78           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 49.99/7.78  thf(zip_derived_cl413, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X0) @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0))) @ 
% 49.99/7.78                X0) @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0)))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X0) @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0))) @ 
% 49.99/7.78                X0) @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0))) @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X0)))))) @ 
% 49.99/7.78            X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X5 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0) @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (join @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0) @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (join @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0))) @ 
% 49.99/7.78                    X0)))) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0) @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (join @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0) @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (join @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X4)) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X0))))) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0) @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (join @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0) @ 
% 49.99/7.78                      (meet @ X0 @ 
% 49.99/7.78                       (join @ 
% 49.99/7.78                        (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                         (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                        X0))) @ 
% 49.99/7.78                     X0)))) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0) @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (join @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                       X0) @ 
% 49.99/7.78                      (meet @ X0 @ 
% 49.99/7.78                       (join @ 
% 49.99/7.78                        (join @ (meet @ X1 @ X0) @ 
% 49.99/7.78                         (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                        X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X4)) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X0) @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0) @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (join @ 
% 49.99/7.78                      (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                      X0))) @ 
% 49.99/7.78                   X0))))))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ X3 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0) @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                    X0) @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                     X0))) @ 
% 49.99/7.78                  X0))) @ 
% 49.99/7.78               (join @ X3 @ X0))) @ 
% 49.99/7.78             X2)))
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X0))) @ 
% 49.99/7.78               X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                  X0) @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.78                   X0))) @ 
% 49.99/7.78                X0))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl12])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl547, plain,
% 49.99/7.78      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('demod', [status(thm)],
% 49.99/7.78                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267])).
% 49.99/7.78  thf(zip_derived_cl936, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 49.99/7.78         X7 : $i, X8 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)) @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)))) @ 
% 49.99/7.78                (join @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)) @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)))) @ 
% 49.99/7.78                (join @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)) @ 
% 49.99/7.78                  (meet @ X5 @ 
% 49.99/7.78                   (join @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)))) @ 
% 49.99/7.78                 (join @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 49.99/7.78            X6) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X8 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)) @ 
% 49.99/7.78                    (meet @ X5 @ 
% 49.99/7.78                     (join @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (join @ 
% 49.99/7.78                    (meet @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)) @ 
% 49.99/7.78                    (meet @ X5 @ 
% 49.99/7.78                     (join @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)))) @ 
% 49.99/7.78                   (join @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                 X7)) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (meet @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)) @ 
% 49.99/7.78                  (meet @ X5 @ 
% 49.99/7.78                   (join @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)))) @ 
% 49.99/7.78                 (join @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)) @ 
% 49.99/7.78                 (meet @ X5 @ 
% 49.99/7.78                  (join @ X0 @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                    X0)))) @ 
% 49.99/7.78                (join @ X3 @ 
% 49.99/7.78                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X8 @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)) @ 
% 49.99/7.78                     (meet @ X5 @ 
% 49.99/7.78                      (join @ X0 @ 
% 49.99/7.78                       (meet @ 
% 49.99/7.78                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                         (join @ X4 @ X0)) @ 
% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X3 @ 
% 49.99/7.78                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                   (meet @ 
% 49.99/7.78                    (join @ 
% 49.99/7.78                     (meet @ X0 @ 
% 49.99/7.78                      (meet @ 
% 49.99/7.78                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                        (join @ X4 @ X0)) @ 
% 49.99/7.78                       X0)) @ 
% 49.99/7.78                     (meet @ X5 @ 
% 49.99/7.78                      (join @ X0 @ 
% 49.99/7.78                       (meet @ 
% 49.99/7.78                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 49.99/7.78                         (join @ X4 @ X0)) @ 
% 49.99/7.78                        X0)))) @ 
% 49.99/7.78                    (join @ X3 @ 
% 49.99/7.78                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.78                  X7)) @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (meet @ X3 @ 
% 49.99/7.78                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (join @ 
% 49.99/7.78                   (meet @ X0 @ 
% 49.99/7.78                    (meet @ 
% 49.99/7.78                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                     X0)) @ 
% 49.99/7.78                   (meet @ X5 @ 
% 49.99/7.78                    (join @ X0 @ 
% 49.99/7.78                     (meet @ 
% 49.99/7.78                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                      X0)))) @ 
% 49.99/7.78                  (join @ X3 @ 
% 49.99/7.78                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 49.99/7.78            (join @ X0 @ X6)))
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ X3 @ 
% 49.99/7.78               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                  X0)) @ 
% 49.99/7.78                (meet @ X5 @ 
% 49.99/7.78                 (join @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)))) @ 
% 49.99/7.78               (join @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl547])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl0, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X1 @ 
% 49.99/7.78              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                 X0)) @ 
% 49.99/7.78               (meet @ X6 @ 
% 49.99/7.78                (join @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 49.99/7.78                  X0)))) @ 
% 49.99/7.78              (join @ X1 @ 
% 49.99/7.78               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('cnf', [status(esa)], [single_axiom])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl449, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78               (meet @ X0 @ 
% 49.99/7.78                (join @ 
% 49.99/7.78                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 49.99/7.78                 X0))) @ 
% 49.99/7.78              X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 49.99/7.78                 X0) @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (join @ 
% 49.99/7.78                  (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 49.99/7.78                  X0))) @ 
% 49.99/7.78               X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl267])).
% 49.99/7.78  thf(zip_derived_cl267, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ 
% 49.99/7.78              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78            X1) @ 
% 49.99/7.78           (meet @ X0 @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 49.99/7.78             X1)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 49.99/7.78  thf(zip_derived_cl483, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i]:
% 49.99/7.78         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.78      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.78  thf(zip_derived_cl982, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((X0)
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ X3 @ 
% 49.99/7.78               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.78              (meet @ 
% 49.99/7.78               (join @ 
% 49.99/7.78                (meet @ X0 @ 
% 49.99/7.78                 (meet @ 
% 49.99/7.78                  (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                  X0)) @ 
% 49.99/7.78                (meet @ X5 @ 
% 49.99/7.78                 (join @ X0 @ 
% 49.99/7.78                  (meet @ 
% 49.99/7.78                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 49.99/7.78                   X0)))) @ 
% 49.99/7.78               (join @ X3 @ 
% 49.99/7.78                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.78      inference('demod', [status(thm)],
% 49.99/7.78                [zip_derived_cl936, zip_derived_cl0, zip_derived_cl0, 
% 49.99/7.78                 zip_derived_cl483])).
% 49.99/7.78  thf(zip_derived_cl483, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i]:
% 49.99/7.78         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.78      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.78  thf(zip_derived_cl2146, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.99/7.78         ((X0)
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 49.99/7.78              (meet @ X4 @ 
% 49.99/7.78               (join @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 49.99/7.78                 X0)))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 49.99/7.78  thf(zip_derived_cl2146, plain,
% 49.99/7.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.99/7.78         ((X0)
% 49.99/7.78           = (join @ 
% 49.99/7.78              (meet @ X0 @ 
% 49.99/7.78               (meet @ 
% 49.99/7.78                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 49.99/7.78              (meet @ X4 @ 
% 49.99/7.78               (join @ X0 @ 
% 49.99/7.78                (meet @ 
% 49.99/7.78                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 49.99/7.78                 X0)))))),
% 49.99/7.78      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 49.99/7.78  thf(zip_derived_cl547, plain,
% 49.99/7.78      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (meet @ X3 @ 
% 49.99/7.78              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.78             (meet @ X0 @ 
% 49.99/7.78              (join @ X3 @ 
% 49.99/7.78               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.78            (join @ 
% 49.99/7.78             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.78           = (X0))),
% 49.99/7.78      inference('demod', [status(thm)],
% 49.99/7.78                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.78                 zip_derived_cl267])).
% 49.99/7.78  thf(zip_derived_cl547, plain,
% 49.99/7.78      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.78         ((join @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.78           (meet @ 
% 49.99/7.78            (join @ 
% 49.99/7.79             (meet @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.79             (meet @ X0 @ 
% 49.99/7.79              (join @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.79           = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl547, plain,
% 49.99/7.79      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (meet @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.79             (meet @ X0 @ 
% 49.99/7.79              (join @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.79           = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl940, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (meet @ 
% 49.99/7.79              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (meet @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79               (meet @ X0 @ 
% 49.99/7.79                (join @ X3 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.79             (meet @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (meet @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79               (meet @ X0 @ 
% 49.99/7.79                (join @ X3 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.79               (join @ 
% 49.99/7.79                (meet @ X3 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                (meet @ X0 @ 
% 49.99/7.79                 (join @ X3 @ 
% 49.99/7.79                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 49.99/7.79            X4) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (meet @ 
% 49.99/7.79              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (join @ 
% 49.99/7.79                (meet @ X6 @ 
% 49.99/7.79                 (join @ 
% 49.99/7.79                  (meet @ X3 @ 
% 49.99/7.79                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                  (meet @ X0 @ 
% 49.99/7.79                   (join @ X3 @ 
% 49.99/7.79                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.79                (meet @ 
% 49.99/7.79                 (join @ 
% 49.99/7.79                  (meet @ X3 @ 
% 49.99/7.79                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                  (meet @ X0 @ 
% 49.99/7.79                   (join @ X3 @ 
% 49.99/7.79                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79                 X5)) @ 
% 49.99/7.79               (join @ 
% 49.99/7.79                (meet @ X3 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                (meet @ X0 @ 
% 49.99/7.79                 (join @ X3 @ 
% 49.99/7.79                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @ 
% 49.99/7.79             (meet @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (meet @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79               (meet @ X0 @ 
% 49.99/7.79                (join @ X3 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79              (join @ 
% 49.99/7.79               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 49.99/7.79               (join @ 
% 49.99/7.79                (join @ 
% 49.99/7.79                 (meet @ X6 @ 
% 49.99/7.79                  (join @ 
% 49.99/7.79                   (meet @ X3 @ 
% 49.99/7.79                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                   (meet @ X0 @ 
% 49.99/7.79                    (join @ X3 @ 
% 49.99/7.79                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 49.99/7.79                 (meet @ 
% 49.99/7.79                  (join @ 
% 49.99/7.79                   (meet @ X3 @ 
% 49.99/7.79                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                   (meet @ X0 @ 
% 49.99/7.79                    (join @ X3 @ 
% 49.99/7.79                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79                  X5)) @ 
% 49.99/7.79                (join @ 
% 49.99/7.79                 (meet @ X3 @ 
% 49.99/7.79                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79                 (meet @ X0 @ 
% 49.99/7.79                  (join @ X3 @ 
% 49.99/7.79                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 49.99/7.79            (join @ X0 @ X4)))
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl547])).
% 49.99/7.79  thf(zip_derived_cl547, plain,
% 49.99/7.79      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (meet @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.79             (meet @ X0 @ 
% 49.99/7.79              (join @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.79           = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl547, plain,
% 49.99/7.79      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (meet @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 49.99/7.79             (meet @ X0 @ 
% 49.99/7.79              (join @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.79           = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 49.99/7.79                 zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl986, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547, 
% 49.99/7.79                 zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl1090, plain,
% 49.99/7.79      (![X0 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 49.99/7.79           (meet @ X0 @ 
% 49.99/7.79            (join @ 
% 49.99/7.79             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 49.99/7.79           = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl986])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl2146, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X0 @ 
% 49.99/7.79               (meet @ 
% 49.99/7.79                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 49.99/7.79              (meet @ X4 @ 
% 49.99/7.79               (join @ X0 @ 
% 49.99/7.79                (meet @ 
% 49.99/7.79                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 49.99/7.79                 X0)))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl2532, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 49.99/7.79  thf(zip_derived_cl2532, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 49.99/7.79  thf(zip_derived_cl2560, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]:
% 49.99/7.79         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl2560, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]:
% 49.99/7.79         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl986, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547, 
% 49.99/7.79                 zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl1126, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X1 @ 
% 49.99/7.79               (join @ 
% 49.99/7.79                (join @ (meet @ X0 @ X0) @ (meet @ X0 @ (join @ X0 @ X0))) @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl986])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl1136, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ (meet @ X1 @ (join @ X0 @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2676, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]:
% 49.99/7.79         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2560, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl2676, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]:
% 49.99/7.79         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2560, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2741, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2676, zip_derived_cl2721])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl605, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl2795, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0))
% 49.99/7.79           = (meet @ X0 @ (meet @ X1 @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl605])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2813, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0)
% 49.99/7.79           = (meet @ X0 @ (meet @ X1 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2795, zip_derived_cl2721, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2741, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2676, zip_derived_cl2721])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2532, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 49.99/7.79  thf(zip_derived_cl2688, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl3240, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3326, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl3326, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl3447, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2813, zip_derived_cl3326, zip_derived_cl3326])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2532, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 49.99/7.79  thf(zip_derived_cl2680, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl3583, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl2680])).
% 49.99/7.79  thf(zip_derived_cl3797, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 49.99/7.79  thf(zip_derived_cl3950, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X1)
% 49.99/7.79           = (meet @ X0 @ (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl3797])).
% 49.99/7.79  thf(zip_derived_cl6131, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ 
% 49.99/7.79           (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ 
% 49.99/7.79            (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0)))) @ 
% 49.99/7.79           X1)
% 49.99/7.79           = (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ 
% 49.99/7.79              (meet @ (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X0) @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl3950])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2688, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl6167, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ X0 @ X1)
% 49.99/7.79           = (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl6131, zip_derived_cl2354, zip_derived_cl3254, 
% 49.99/7.79                 zip_derived_cl3254])).
% 49.99/7.79  thf(zip_derived_cl605, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl7660, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))
% 49.99/7.79           = (meet @ X0 @ (join @ X1 @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl6167, zip_derived_cl605])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl7813, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 49.99/7.79           = (meet @ X0 @ (join @ X1 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl7660, zip_derived_cl3254])).
% 49.99/7.79  thf(zip_derived_cl3447, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2813, zip_derived_cl3326, zip_derived_cl3326])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl2680, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl3028, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X1) = (meet @ (meet @ (join @ X1 @ X0) @ X1) @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2680])).
% 49.99/7.79  thf(zip_derived_cl3584, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl3635, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3584, zip_derived_cl2354])).
% 49.99/7.79  thf(zip_derived_cl3240, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl2354, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 49.99/7.79  thf(zip_derived_cl3297, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3240, zip_derived_cl2354])).
% 49.99/7.79  thf(zip_derived_cl605, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl4184, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) @ 
% 49.99/7.79            (meet @ X0 @ X0)) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) @ X0))
% 49.99/7.79           = (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3297, zip_derived_cl605])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl3584, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 49.99/7.79  thf(zip_derived_cl3666, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3666, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl3666, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 49.99/7.79  thf(zip_derived_cl4215, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl4184, zip_derived_cl3666, zip_derived_cl2721, 
% 49.99/7.79                 zip_derived_cl3254, zip_derived_cl3666, zip_derived_cl3254, 
% 49.99/7.79                 zip_derived_cl2658, zip_derived_cl3666])).
% 49.99/7.79  thf(zip_derived_cl4650, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))
% 49.99/7.79           = (meet @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)) @ 
% 49.99/7.79              (join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3635, zip_derived_cl4215])).
% 49.99/7.79  thf(zip_derived_cl3635, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3584, zip_derived_cl2354])).
% 49.99/7.79  thf(zip_derived_cl3254, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl4694, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl4650, zip_derived_cl3635, zip_derived_cl3254])).
% 49.99/7.79  thf(zip_derived_cl2741, plain,
% 49.99/7.79      (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2676, zip_derived_cl2721])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl2794, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl2812, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2794, zip_derived_cl2721])).
% 49.99/7.79  thf(zip_derived_cl3326, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl3446, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2812, zip_derived_cl3326])).
% 49.99/7.79  thf(zip_derived_cl4713, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ X0 @ (join @ (join @ X0 @ X1) @ X0))
% 49.99/7.79           = (join @ (join @ X0 @ X1) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl4694, zip_derived_cl3446])).
% 49.99/7.79  thf(zip_derived_cl11062, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ 
% 49.99/7.79           (join @ (meet @ X0 @ (join @ X1 @ X0)) @ 
% 49.99/7.79            (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0)))))
% 49.99/7.79           = (join @ 
% 49.99/7.79              (join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0) @ 
% 49.99/7.79              (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0)))))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl7813, zip_derived_cl4713])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl7813, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 49.99/7.79           = (meet @ X0 @ (join @ X1 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl7660, zip_derived_cl3254])).
% 49.99/7.79  thf(zip_derived_cl7813, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 49.99/7.79           = (meet @ X0 @ (join @ X1 @ X0)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl7660, zip_derived_cl3254])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl11198, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl11062, zip_derived_cl483, zip_derived_cl7813, 
% 49.99/7.79                 zip_derived_cl7813, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl3446, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl2812, zip_derived_cl3326])).
% 49.99/7.79  thf(zip_derived_cl11223, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11198, zip_derived_cl3446])).
% 49.99/7.79  thf(zip_derived_cl2532, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 49.99/7.79  thf(zip_derived_cl11389, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11223, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl986, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79              (meet @ X0 @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547, 
% 49.99/7.79                 zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl1121, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (meet @ X3 @ 
% 49.99/7.79             (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79            (meet @ X0 @ 
% 49.99/7.79             (join @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (meet @ X3 @ 
% 49.99/7.79             (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79            X0))
% 49.99/7.79           = (meet @ X3 @ 
% 49.99/7.79              (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl12916, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (meet @ 
% 49.99/7.79             (meet @ 
% 49.99/7.79              (join @ X5 @ 
% 49.99/7.79               (join @ X4 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79              (join @ X3 @ 
% 49.99/7.79               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79             (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 49.99/7.79            (meet @ X0 @ 
% 49.99/7.79             (join @ 
% 49.99/7.79              (meet @ 
% 49.99/7.79               (join @ X5 @ 
% 49.99/7.79                (join @ X4 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79              (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 49.99/7.79           (meet @ 
% 49.99/7.79            (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0) @ X0))
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ 
% 49.99/7.79               (join @ X5 @ 
% 49.99/7.79                (join @ X4 @ 
% 49.99/7.79                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79               (join @ X3 @ 
% 49.99/7.79                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @ 
% 49.99/7.79              (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11389, zip_derived_cl1121])).
% 49.99/7.79  thf(zip_derived_cl11389, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11223, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl3797, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 49.99/7.79  thf(zip_derived_cl3240, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3240, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3797, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 49.99/7.79  thf(zip_derived_cl3938, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((meet @ (join @ X1 @ X0) @ X0)
% 49.99/7.79           = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3240, zip_derived_cl3797])).
% 49.99/7.79  thf(zip_derived_cl3240, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 49.99/7.79  thf(zip_derived_cl3960, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl3938, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl605, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl11223, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11198, zip_derived_cl3446])).
% 49.99/7.79  thf(zip_derived_cl11426, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X1 @ X0) @ X1) @ (meet @ X1 @ X0))
% 49.99/7.79           = (join @ 
% 49.99/7.79              (meet @ (meet @ X1 @ X0) @ (meet @ X1 @ (join @ X1 @ X0))) @ 
% 49.99/7.79              (meet @ (meet @ X1 @ X0) @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl605, zip_derived_cl11223])).
% 49.99/7.79  thf(zip_derived_cl605, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @ 
% 49.99/7.79           (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl11442, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (meet @ X1 @ X0) @ X1) @ (meet @ X1 @ X0))
% 49.99/7.79           = (meet @ X1 @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl11426, zip_derived_cl605])).
% 49.99/7.79  thf(zip_derived_cl11916, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((join @ 
% 49.99/7.79           (meet @ (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0) @ 
% 49.99/7.79            (join @ X2 @ (join @ X1 @ X0))) @ 
% 49.99/7.79           X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl3960, zip_derived_cl11442])).
% 49.99/7.79  thf(zip_derived_cl3960, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl3938, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl3960, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl3938, zip_derived_cl3240])).
% 49.99/7.79  thf(zip_derived_cl11980, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ (join @ X2 @ (join @ X1 @ X0))) @ X0) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl11916, zip_derived_cl3960, zip_derived_cl3960])).
% 49.99/7.79  thf(zip_derived_cl11389, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.99/7.79         ((X0)
% 49.99/7.79           = (meet @ 
% 49.99/7.79              (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl11223, zip_derived_cl2532])).
% 49.99/7.79  thf(zip_derived_cl13020, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 49.99/7.79         ((X0) = (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl12916, zip_derived_cl11389, zip_derived_cl3797, 
% 49.99/7.79                 zip_derived_cl3240, zip_derived_cl11980, zip_derived_cl11389])).
% 49.99/7.79  thf(zip_derived_cl13135, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((X0) = (join @ (join @ X0 @ (meet @ X0 @ X1)) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)],
% 49.99/7.79                [zip_derived_cl2721, zip_derived_cl13020])).
% 49.99/7.79  thf(zip_derived_cl483, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 49.99/7.79  thf(zip_derived_cl13436, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]:
% 49.99/7.79         ((join @ (meet @ (join @ X0 @ (meet @ X0 @ X1)) @ X0) @ 
% 49.99/7.79           (meet @ (join @ X0 @ (meet @ X0 @ X1)) @ X0))
% 49.99/7.79           = (join @ X0 @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl13135, zip_derived_cl483])).
% 49.99/7.79  thf(zip_derived_cl3584, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 49.99/7.79  thf(zip_derived_cl3584, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 49.99/7.79  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 49.99/7.79      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 49.99/7.79  thf(zip_derived_cl13531, plain,
% 49.99/7.79      (![X0 : $i, X1 : $i]: ((X0) = (join @ X0 @ (meet @ X0 @ X1)))),
% 49.99/7.79      inference('demod', [status(thm)],
% 49.99/7.79                [zip_derived_cl13436, zip_derived_cl3584, zip_derived_cl3584, 
% 49.99/7.79                 zip_derived_cl2658])).
% 49.99/7.79  thf(zip_derived_cl13540, plain, (((a) != (a))),
% 49.99/7.79      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl13531])).
% 49.99/7.79  thf(zip_derived_cl13541, plain, ($false),
% 49.99/7.79      inference('simplify', [status(thm)], [zip_derived_cl13540])).
% 49.99/7.79  
% 49.99/7.79  % SZS output end Refutation
% 49.99/7.79  
% 49.99/7.79  
% 49.99/7.79  % Terminating...
% 49.99/7.79  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 49.99/7.89  % Runner terminated.
% 57.75/7.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------