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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT080-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FO5S4P3VyM true

% Computer : n031.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 32.14s 5.20s
% Output   : Refutation 32.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT080-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FO5S4P3VyM true
% 0.14/0.34  % Computer : n031.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 14:30:08 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.44/0.61  % Total configuration time : 435
% 0.44/0.61  % Estimated wc time : 1092
% 0.44/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 32.14/5.20  % Solved by fo/fo7.sh.
% 32.14/5.20  % done 83 iterations in 4.419s
% 32.14/5.20  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.14/5.20  % SZS output start Refutation
% 32.14/5.20  thf(a_type, type, a: $i).
% 32.14/5.20  thf(meet_type, type, meet: $i > $i > $i).
% 32.14/5.20  thf(join_type, type, join: $i > $i > $i).
% 32.14/5.20  thf(prove_normal_axioms_1, conjecture, (( meet @ a @ a ) = ( a ))).
% 32.14/5.20  thf(zf_stmt_0, negated_conjecture, (( meet @ a @ a ) != ( a )),
% 32.14/5.20    inference('cnf.neg', [status(esa)], [prove_normal_axioms_1])).
% 32.14/5.20  thf(zip_derived_cl1, plain, (((meet @ a @ a) != (a))),
% 32.14/5.20      inference('cnf', [status(esa)], [zf_stmt_0])).
% 32.14/5.20  thf(single_axiom, axiom,
% 32.14/5.20    (( join @
% 32.14/5.20       ( meet @
% 32.14/5.20         ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @ 
% 32.14/5.20       ( meet @
% 32.14/5.20         ( join @
% 32.14/5.20           ( meet @
% 32.14/5.20             A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @ 
% 32.14/5.20           ( meet @
% 32.14/5.20             ( join @
% 32.14/5.20               ( meet @
% 32.14/5.20                 B @ 
% 32.14/5.20                 ( meet @
% 32.14/5.20                   ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ 
% 32.14/5.20                   B ) ) @ 
% 32.14/5.20               ( meet @
% 32.14/5.20                 G @ 
% 32.14/5.20                 ( join @
% 32.14/5.20                   B @ 
% 32.14/5.20                   ( meet @
% 32.14/5.20                     ( meet @
% 32.14/5.20                       ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @ 
% 32.14/5.20                     B ) ) ) ) @ 
% 32.14/5.20             ( join @
% 32.14/5.20               A @ 
% 32.14/5.20               ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @ 
% 32.14/5.20         ( join @
% 32.14/5.20           ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 32.14/5.20     ( B ))).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl12, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 32.14/5.20            X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ X5 @ 
% 32.14/5.20                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                 X4)) @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X5 @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X4)) @ 
% 32.14/5.20                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ X3 @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20               (join @ X3 @ 
% 32.14/5.20                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 32.14/5.20             X2)))
% 32.14/5.20           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.14/5.20  thf(zip_derived_cl80, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 32.14/5.20         X7 : $i, X8 : $i, X9 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X7 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)) @ 
% 32.14/5.20                   (meet @ X5 @ 
% 32.14/5.20                    (join @ X0 @ 
% 32.14/5.20                     (meet @ 
% 32.14/5.20                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                      X0)))) @ 
% 32.14/5.20                  (join @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)) @ 
% 32.14/5.20                   (meet @ X5 @ 
% 32.14/5.20                    (join @ X0 @ 
% 32.14/5.20                     (meet @ 
% 32.14/5.20                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                      X0)))) @ 
% 32.14/5.20                  (join @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (meet @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                  (meet @ 
% 32.14/5.20                   (join @ 
% 32.14/5.20                    (meet @ X0 @ 
% 32.14/5.20                     (meet @ 
% 32.14/5.20                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                      X0)) @ 
% 32.14/5.20                    (meet @ X5 @ 
% 32.14/5.20                     (join @ X0 @ 
% 32.14/5.20                      (meet @ 
% 32.14/5.20                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                        (join @ X4 @ X0)) @ 
% 32.14/5.20                       X0)))) @ 
% 32.14/5.20                   (join @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)) @ 
% 32.14/5.20                   (meet @ X5 @ 
% 32.14/5.20                    (join @ X0 @ 
% 32.14/5.20                     (meet @ 
% 32.14/5.20                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                      X0)))) @ 
% 32.14/5.20                  (join @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (meet @ 
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% 32.14/5.20                          X0)))) @ 
% 32.14/5.20                      (join @ X3 @ 
% 32.14/5.20                       (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ 
% 32.14/5.20                        X0)))) @ 
% 32.14/5.20                    (join @ 
% 32.14/5.20                     (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                     (join @ 
% 32.14/5.20                      (meet @ X3 @ 
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% 32.14/5.20                        X0)) @ 
% 32.14/5.20                      (meet @ 
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% 32.14/5.20                           (join @ X4 @ X0)) @ 
% 32.14/5.20                          X0)) @ 
% 32.14/5.20                        (meet @ X5 @ 
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% 32.14/5.20                          (meet @ 
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% 32.14/5.20                           X0)))) @ 
% 32.14/5.20                       (join @ X3 @ 
% 32.14/5.20                        (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ 
% 32.14/5.20                         X0))))))) @ 
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% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (join @ 
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% 32.14/5.20                      (meet @ 
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% 32.14/5.20                       (meet @ 
% 32.14/5.20                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                         (join @ X4 @ X0)) @ 
% 32.14/5.20                        X0)))) @ 
% 32.14/5.20                    (join @ X3 @ 
% 32.14/5.20                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (join @ 
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% 32.14/5.20                      (meet @ 
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% 32.14/5.20                       X0)) @ 
% 32.14/5.20                     (meet @ X5 @ 
% 32.14/5.20                      (join @ X0 @ 
% 32.14/5.20                       (meet @ 
% 32.14/5.20                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                         (join @ X4 @ X0)) @ 
% 32.14/5.20                        X0)))) @ 
% 32.14/5.20                    (join @ X3 @ 
% 32.14/5.20                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                   (join @ 
% 32.14/5.20                    (meet @ X3 @ 
% 32.14/5.20                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (join @ 
% 32.14/5.20                      (meet @ X0 @ 
% 32.14/5.20                       (meet @ 
% 32.14/5.20                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                         (join @ X4 @ X0)) @ 
% 32.14/5.20                        X0)) @ 
% 32.14/5.20                      (meet @ X5 @ 
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% 32.14/5.20                        (meet @ 
% 32.14/5.20                         (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                          (join @ X4 @ X0)) @ 
% 32.14/5.20                         X0)))) @ 
% 32.14/5.20                     (join @ X3 @ 
% 32.14/5.20                      (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ X7 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ 
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% 32.14/5.20                 (join @ 
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% 32.14/5.20                  (meet @ 
% 32.14/5.20                   (join @ 
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% 32.14/5.20                       X0)))) @ 
% 32.14/5.20                   (join @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ 
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% 32.14/5.20                  (meet @ 
% 32.14/5.20                   (join @ 
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% 32.14/5.20                      X0)) @ 
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% 32.14/5.20                     (join @ X0 @ 
% 32.14/5.20                      (meet @ 
% 32.14/5.20                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                        (join @ X4 @ X0)) @ 
% 32.14/5.20                       X0)))) @ 
% 32.14/5.20                   (join @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (join @ 
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% 32.14/5.20                      (meet @ 
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% 32.14/5.20                        (join @ X4 @ X0)) @ 
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% 32.14/5.20                       (meet @ 
% 32.14/5.20                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                         (join @ X4 @ X0)) @ 
% 32.14/5.20                        X0)))) @ 
% 32.14/5.20                    (join @ X3 @ 
% 32.14/5.20                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (meet @ X3 @ 
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% 32.14/5.20                  (meet @ 
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% 32.14/5.20                      X0)) @ 
% 32.14/5.20                    (meet @ X5 @ 
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% 32.14/5.20                      (meet @ 
% 32.14/5.20                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                        (join @ X4 @ X0)) @ 
% 32.14/5.20                       X0)))) @ 
% 32.14/5.20                   (join @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (meet @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                  (meet @ 
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% 32.14/5.20                      X0)) @ 
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% 32.14/5.20                        (join @ X4 @ X0)) @ 
% 32.14/5.20                       X0)))) @ 
% 32.14/5.20                   (join @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X3 @ 
% 32.14/5.20                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (join @ 
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% 32.14/5.20                      (meet @ 
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% 32.14/5.20                        (join @ X4 @ X0)) @ 
% 32.14/5.20                       X0)) @ 
% 32.14/5.20                     (meet @ X5 @ 
% 32.14/5.20                      (join @ X0 @ 
% 32.14/5.20                       (meet @ 
% 32.14/5.20                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.20                         (join @ X4 @ X0)) @ 
% 32.14/5.20                        X0)))) @ 
% 32.14/5.20                    (join @ X3 @ 
% 32.14/5.20                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 32.14/5.20               (join @ X7 @ X0))) @ 
% 32.14/5.20             X6)))
% 32.14/5.20           = (join @ 
% 32.14/5.20              (meet @ 
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% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ X3 @ 
% 32.14/5.20                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ 
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% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                    X0)) @ 
% 32.14/5.20                  (meet @ X5 @ 
% 32.14/5.20                   (join @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)))) @ 
% 32.14/5.20                 (join @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ X3 @ 
% 32.14/5.20                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (meet @ X0 @ 
% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                    X0)) @ 
% 32.14/5.20                  (meet @ X5 @ 
% 32.14/5.20                   (join @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)))) @ 
% 32.14/5.20                 (join @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X3 @ 
% 32.14/5.20                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (meet @ 
% 32.14/5.20                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                     X0)) @ 
% 32.14/5.20                   (meet @ X5 @ 
% 32.14/5.20                    (join @ X0 @ 
% 32.14/5.20                     (meet @ 
% 32.14/5.20                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                      X0)))) @ 
% 32.14/5.20                  (join @ X3 @ 
% 32.14/5.20                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl0, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X1 @ 
% 32.14/5.20              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                 X0)) @ 
% 32.14/5.20               (meet @ X6 @ 
% 32.14/5.20                (join @ X0 @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (join @ X1 @ 
% 32.14/5.20               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.20  thf(zip_derived_cl130, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 32.14/5.20         X7 : $i, X8 : $i, X9 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X7 @ 
% 32.14/5.20              (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ X3 @ 
% 32.14/5.20                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X0 @ 
% 32.14/5.20                  (meet @ 
% 32.14/5.20                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                   X0)) @ 
% 32.14/5.20                 (meet @ X5 @ 
% 32.14/5.20                  (join @ X0 @ 
% 32.14/5.20                   (meet @ 
% 32.14/5.20                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.20                    X0)))) @ 
% 32.14/5.20                (join @ X3 @ 
% 32.14/5.20                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.20              (join @ X7 @ 
% 32.14/5.20               (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('demod', [status(thm)],
% 32.14/5.20                [zip_derived_cl80, zip_derived_cl0, zip_derived_cl0, 
% 32.14/5.20                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 32.14/5.20                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 32.14/5.20                 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0, 
% 32.14/5.20                 zip_derived_cl0])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl12, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 32.14/5.20            X2) @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ X5 @ 
% 32.14/5.20                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                 X4)) @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X5 @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X4)) @ 
% 32.14/5.20                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ X3 @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20               (join @ X3 @ 
% 32.14/5.20                (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @ 
% 32.14/5.20             X2)))
% 32.14/5.20           = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.14/5.20  thf(zip_derived_cl413, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X0) @ 
% 32.14/5.20                 (meet @ X0 @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                   X0))) @ 
% 32.14/5.20                X0) @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (meet @ 
% 32.14/5.20                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                   X0) @ 
% 32.14/5.20                  (meet @ X0 @ 
% 32.14/5.20                   (join @ 
% 32.14/5.20                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                    X0))) @ 
% 32.14/5.20                 X0)))) @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (meet @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X0) @ 
% 32.14/5.20                 (meet @ X0 @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                   X0))) @ 
% 32.14/5.20                X0) @ 
% 32.14/5.20               (meet @ X0 @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (join @ 
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% 32.14/5.20                   X0) @ 
% 32.14/5.20                  (meet @ X0 @ 
% 32.14/5.20                   (join @ 
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% 32.14/5.20                 X0))) @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ 
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% 32.14/5.20                   X0) @ 
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% 32.14/5.20                (meet @ X0 @ 
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% 32.14/5.20                    X0) @ 
% 32.14/5.20                   (meet @ X0 @ 
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% 32.14/5.20                     X0))) @ 
% 32.14/5.20                  X0)))))) @ 
% 32.14/5.20            X2) @ 
% 32.14/5.20           (meet @ 
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% 32.14/5.20             (meet @ X3 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ 
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% 32.14/5.20                     X0) @ 
% 32.14/5.20                    (meet @ X0 @ 
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% 32.14/5.20                      X0))) @ 
% 32.14/5.20                   X0) @ 
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% 32.14/5.20                      X0) @ 
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% 32.14/5.20                        (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                       X0))) @ 
% 32.14/5.20                    X0)))) @ 
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% 32.14/5.20                     X0) @ 
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% 32.14/5.20                      X0))) @ 
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% 32.14/5.20               (join @ 
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% 32.14/5.20                   X0) @ 
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% 32.14/5.20                    X0))) @ 
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% 32.14/5.20                (meet @ X0 @ 
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% 32.14/5.20                    X0) @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (join @ 
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% 32.14/5.20                     X0))) @ 
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% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ X3 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ X5 @ 
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% 32.14/5.20                      X0) @ 
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% 32.14/5.20                       X0) @ 
% 32.14/5.20                      (meet @ X0 @ 
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% 32.14/5.20                        X0))) @ 
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% 32.14/5.20                      X0) @ 
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% 32.14/5.20                    (join @ 
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% 32.14/5.20                       X0) @ 
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% 32.14/5.20                     X0))) @ 
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% 32.14/5.20                    X0) @ 
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% 32.14/5.20                    (join @ 
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% 32.14/5.20                     X0))) @ 
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% 32.14/5.20                     X0) @ 
% 32.14/5.20                    (meet @ X0 @ 
% 32.14/5.20                     (join @ 
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% 32.14/5.20                      X0))) @ 
% 32.14/5.20                   X0))))))) @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ X3 @ 
% 32.14/5.20               (join @ 
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% 32.14/5.20                   X0) @ 
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% 32.14/5.20                    X0))) @ 
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% 32.14/5.20                    X0) @ 
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% 32.14/5.20                     X0))) @ 
% 32.14/5.20                  X0)))) @ 
% 32.14/5.20              (meet @ 
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% 32.14/5.20                   X0) @ 
% 32.14/5.20                  (meet @ X0 @ 
% 32.14/5.20                   (join @ 
% 32.14/5.20                    (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                    X0))) @ 
% 32.14/5.20                 X0) @ 
% 32.14/5.20                (meet @ X0 @ 
% 32.14/5.20                 (join @ 
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% 32.14/5.20                   (meet @ 
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% 32.14/5.20                    X0) @ 
% 32.14/5.20                   (meet @ X0 @ 
% 32.14/5.20                    (join @ 
% 32.14/5.20                     (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                     X0))) @ 
% 32.14/5.20                  X0))) @ 
% 32.14/5.20               (join @ X3 @ X0))) @ 
% 32.14/5.20             X2)))
% 32.14/5.20           = (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (meet @ 
% 32.14/5.20                 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                 X0) @ 
% 32.14/5.20                (meet @ X0 @ 
% 32.14/5.20                 (join @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X0))) @ 
% 32.14/5.20               X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ 
% 32.14/5.20                 (meet @ 
% 32.14/5.20                  (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                  X0) @ 
% 32.14/5.20                 (meet @ X0 @ 
% 32.14/5.20                  (join @ 
% 32.14/5.20                   (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ 
% 32.14/5.20                   X0))) @ 
% 32.14/5.20                X0))))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl12])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20              (meet @ X0 @ 
% 32.14/5.20               (join @ 
% 32.14/5.20                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20             X1)))
% 32.14/5.20           = (X0))),
% 32.14/5.20      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.20  thf(zip_derived_cl267, plain,
% 32.14/5.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.20         ((join @ 
% 32.14/5.20           (meet @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (meet @ 
% 32.14/5.20              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.20             (meet @ X0 @ 
% 32.14/5.20              (join @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.20            X1) @ 
% 32.14/5.20           (meet @ X0 @ 
% 32.14/5.20            (join @ 
% 32.14/5.20             (join @ 
% 32.14/5.20              (meet @ 
% 32.14/5.20               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl936, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
% 32.14/5.21         X7 : $i, X8 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (meet @ X0 @ 
% 32.14/5.21                  (meet @ 
% 32.14/5.21                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                   X0)) @ 
% 32.14/5.21                 (meet @ X5 @ 
% 32.14/5.21                  (join @ X0 @ 
% 32.14/5.21                   (meet @ 
% 32.14/5.21                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                    X0)))) @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (meet @ X0 @ 
% 32.14/5.21                  (meet @ 
% 32.14/5.21                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                   X0)) @ 
% 32.14/5.21                 (meet @ X5 @ 
% 32.14/5.21                  (join @ X0 @ 
% 32.14/5.21                   (meet @ 
% 32.14/5.21                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                    X0)))) @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                (meet @ 
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% 32.14/5.21                    X0)) @ 
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% 32.14/5.21                    (meet @ 
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% 32.14/5.21                     X0)))) @ 
% 32.14/5.21                 (join @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 32.14/5.21            X6) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X8 @ 
% 32.14/5.21                 (join @ 
% 32.14/5.21                  (meet @ X3 @ 
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% 32.14/5.21                  (meet @ 
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% 32.14/5.21                     (meet @ 
% 32.14/5.21                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                      X0)) @ 
% 32.14/5.21                    (meet @ X5 @ 
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% 32.14/5.21                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.21                        (join @ X4 @ X0)) @ 
% 32.14/5.21                       X0)))) @ 
% 32.14/5.21                   (join @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (join @ 
% 32.14/5.21                  (meet @ X3 @ 
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% 32.14/5.21                  (meet @ 
% 32.14/5.21                   (join @ 
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% 32.14/5.21                     (meet @ 
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% 32.14/5.21                      X0)) @ 
% 32.14/5.21                    (meet @ X5 @ 
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% 32.14/5.21                       (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.21                        (join @ X4 @ X0)) @ 
% 32.14/5.21                       X0)))) @ 
% 32.14/5.21                   (join @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21                 X7)) @ 
% 32.14/5.21               (join @ 
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% 32.14/5.21                (meet @ 
% 32.14/5.21                 (join @ 
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% 32.14/5.21                    X0)) @ 
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% 32.14/5.21                    (meet @ 
% 32.14/5.21                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                     X0)))) @ 
% 32.14/5.21                 (join @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (join @ 
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% 32.14/5.21                   X0)) @ 
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% 32.14/5.21                  (join @ X0 @ 
% 32.14/5.21                   (meet @ 
% 32.14/5.21                    (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                    X0)))) @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ 
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% 32.14/5.21                  (join @ 
% 32.14/5.21                   (meet @ X3 @ 
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% 32.14/5.21                   (meet @ 
% 32.14/5.21                    (join @ 
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% 32.14/5.21                        (join @ X4 @ X0)) @ 
% 32.14/5.21                       X0)) @ 
% 32.14/5.21                     (meet @ X5 @ 
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% 32.14/5.21                        X0)))) @ 
% 32.14/5.21                    (join @ X3 @ 
% 32.14/5.21                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (join @ 
% 32.14/5.21                   (meet @ X3 @ 
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% 32.14/5.21                   (meet @ 
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% 32.14/5.21                        (join @ X4 @ X0)) @ 
% 32.14/5.21                       X0)) @ 
% 32.14/5.21                     (meet @ X5 @ 
% 32.14/5.21                      (join @ X0 @ 
% 32.14/5.21                       (meet @ 
% 32.14/5.21                        (meet @ (join @ X2 @ (join @ X0 @ X1)) @ 
% 32.14/5.21                         (join @ X4 @ X0)) @ 
% 32.14/5.21                        X0)))) @ 
% 32.14/5.21                    (join @ X3 @ 
% 32.14/5.21                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21                  X7)) @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (meet @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (join @ 
% 32.14/5.21                   (meet @ X0 @ 
% 32.14/5.21                    (meet @ 
% 32.14/5.21                     (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                     X0)) @ 
% 32.14/5.21                   (meet @ X5 @ 
% 32.14/5.21                    (join @ X0 @ 
% 32.14/5.21                     (meet @ 
% 32.14/5.21                      (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                      X0)))) @ 
% 32.14/5.21                  (join @ X3 @ 
% 32.14/5.21                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 32.14/5.21            (join @ X0 @ X6)))
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X0 @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                  X0)) @ 
% 32.14/5.21                (meet @ X5 @ 
% 32.14/5.21                 (join @ X0 @ 
% 32.14/5.21                  (meet @ 
% 32.14/5.21                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                   X0)))) @ 
% 32.14/5.21               (join @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl547])).
% 32.14/5.21  thf(zip_derived_cl0, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X1 @ 
% 32.14/5.21              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.21                 X0)) @ 
% 32.14/5.21               (meet @ X6 @ 
% 32.14/5.21                (join @ X0 @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.21                  X0)))) @ 
% 32.14/5.21              (join @ X1 @ 
% 32.14/5.21               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.21  thf(zip_derived_cl0, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X1 @ 
% 32.14/5.21              (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.21                 X0)) @ 
% 32.14/5.21               (meet @ X6 @ 
% 32.14/5.21                (join @ X0 @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @ 
% 32.14/5.21                  X0)))) @ 
% 32.14/5.21              (join @ X1 @ 
% 32.14/5.21               (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('cnf', [status(esa)], [single_axiom])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl449, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 32.14/5.21                 X0))) @ 
% 32.14/5.21              X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 32.14/5.21                 X0) @ 
% 32.14/5.21                (meet @ X0 @ 
% 32.14/5.21                 (join @ 
% 32.14/5.21                  (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ 
% 32.14/5.21                  X0))) @ 
% 32.14/5.21               X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl267, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21            X1) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @ 
% 32.14/5.21             X1)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 32.14/5.21  thf(zip_derived_cl483, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl982, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21              (meet @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X0 @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                  X0)) @ 
% 32.14/5.21                (meet @ X5 @ 
% 32.14/5.21                 (join @ X0 @ 
% 32.14/5.21                  (meet @ 
% 32.14/5.21                   (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @ 
% 32.14/5.21                   X0)))) @ 
% 32.14/5.21               (join @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl936, zip_derived_cl0, zip_derived_cl0, 
% 32.14/5.21                 zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl483, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl2146, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 32.14/5.21              (meet @ X4 @ 
% 32.14/5.21               (join @ X0 @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 32.14/5.21                 X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl2146, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 32.14/5.21              (meet @ X4 @ 
% 32.14/5.21               (join @ X0 @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 32.14/5.21                 X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl940, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                (meet @ X0 @ 
% 32.14/5.21                 (join @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @ 
% 32.14/5.21            X4) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X6 @ 
% 32.14/5.21                 (join @ 
% 32.14/5.21                  (meet @ X3 @ 
% 32.14/5.21                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                  (meet @ X0 @ 
% 32.14/5.21                   (join @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (join @ 
% 32.14/5.21                  (meet @ X3 @ 
% 32.14/5.21                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                  (meet @ X0 @ 
% 32.14/5.21                   (join @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21                 X5)) @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (meet @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                (meet @ X0 @ 
% 32.14/5.21                 (join @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @ 
% 32.14/5.21             (meet @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (meet @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21               (meet @ X0 @ 
% 32.14/5.21                (join @ X3 @ 
% 32.14/5.21                 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21              (join @ 
% 32.14/5.21               (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (meet @ X6 @ 
% 32.14/5.21                  (join @ 
% 32.14/5.21                   (meet @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                   (meet @ X0 @ 
% 32.14/5.21                    (join @ X3 @ 
% 32.14/5.21                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @ 
% 32.14/5.21                 (meet @ 
% 32.14/5.21                  (join @ 
% 32.14/5.21                   (meet @ X3 @ 
% 32.14/5.21                    (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                   (meet @ X0 @ 
% 32.14/5.21                    (join @ X3 @ 
% 32.14/5.21                     (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @ 
% 32.14/5.21                  X5)) @ 
% 32.14/5.21                (join @ 
% 32.14/5.21                 (meet @ X3 @ 
% 32.14/5.21                  (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21                 (meet @ X0 @ 
% 32.14/5.21                  (join @ X3 @ 
% 32.14/5.21                   (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @ 
% 32.14/5.21            (join @ X0 @ X4)))
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl547])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl547, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (meet @ X3 @ 
% 32.14/5.21              (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @ 
% 32.14/5.21             (meet @ X0 @ 
% 32.14/5.21              (join @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267, 
% 32.14/5.21                 zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl483, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl986, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547, 
% 32.14/5.21                 zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl1090, plain,
% 32.14/5.21      (![X0 : $i, X2 : $i, X3 : $i]:
% 32.14/5.21         ((join @ 
% 32.14/5.21           (meet @ 
% 32.14/5.21            (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @ 
% 32.14/5.21           (meet @ X0 @ 
% 32.14/5.21            (join @ 
% 32.14/5.21             (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 32.14/5.21           = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl986])).
% 32.14/5.21  thf(zip_derived_cl2354, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 32.14/5.21  thf(zip_derived_cl2146, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (meet @ 
% 32.14/5.21                (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @ 
% 32.14/5.21              (meet @ X4 @ 
% 32.14/5.21               (join @ X0 @ 
% 32.14/5.21                (meet @ 
% 32.14/5.21                 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ 
% 32.14/5.21                 X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl2532, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (meet @ 
% 32.14/5.21              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 32.14/5.21  thf(zip_derived_cl2532, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (meet @ 
% 32.14/5.21              (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 32.14/5.21  thf(zip_derived_cl2560, plain,
% 32.14/5.21      (![X0 : $i, X4 : $i]:
% 32.14/5.21         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 32.14/5.21  thf(zip_derived_cl2560, plain,
% 32.14/5.21      (![X0 : $i, X4 : $i]:
% 32.14/5.21         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 32.14/5.21  thf(zip_derived_cl483, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl986, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X3 @ 
% 32.14/5.21               (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @ 
% 32.14/5.21              (meet @ X0 @ 
% 32.14/5.21               (join @ X3 @ 
% 32.14/5.21                (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547, 
% 32.14/5.21                 zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl1126, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ 
% 32.14/5.21              (meet @ X1 @ 
% 32.14/5.21               (join @ 
% 32.14/5.21                (join @ (meet @ X0 @ X0) @ (meet @ X0 @ (join @ X0 @ X0))) @ X0)) @ 
% 32.14/5.21              (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl986])).
% 32.14/5.21  thf(zip_derived_cl483, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 32.14/5.21  thf(zip_derived_cl1136, plain,
% 32.14/5.21      (![X0 : $i, X1 : $i]:
% 32.14/5.21         ((X0)
% 32.14/5.21           = (join @ (meet @ X1 @ (join @ X0 @ X0)) @ 
% 32.14/5.21              (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl483])).
% 32.14/5.21  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 32.14/5.21  thf(zip_derived_cl2676, plain,
% 32.14/5.21      (![X0 : $i, X4 : $i]:
% 32.14/5.21         ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ X0)))),
% 32.14/5.21      inference('demod', [status(thm)],
% 32.14/5.21                [zip_derived_cl2560, zip_derived_cl2658])).
% 32.14/5.21  thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 32.14/5.21  thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 32.14/5.21      inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 32.14/5.21  thf(zip_derived_cl2741, plain, (((a) != (a))),
% 32.14/5.21      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2721])).
% 32.14/5.21  thf(zip_derived_cl2742, plain, ($false),
% 32.14/5.21      inference('simplify', [status(thm)], [zip_derived_cl2741])).
% 32.14/5.21  
% 32.14/5.21  % SZS output end Refutation
% 32.14/5.21  
% 32.14/5.21  
% 32.14/5.21  % Terminating...
% 32.67/5.27  % Runner terminated.
% 32.67/5.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------