%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT096-1 : 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.9nxR7gXEKj true
% Computer : n017.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 04:41:04 PM UTC 2025
% Result : Unsatisfiable 22.89s 3.85s
% Output : Refutation 22.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT096-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9nxR7gXEKj true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:43:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.59 % Total configuration time : 435
% 0.20/0.59 % Estimated wc time : 1092
% 0.20/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.89/3.85 % Solved by fo/fo7.sh.
% 22.89/3.85 % done 286 iterations in 3.080s
% 22.89/3.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.89/3.85 % SZS output start Refutation
% 22.89/3.85 thf(b_type, type, b: $i).
% 22.89/3.85 thf(a_type, type, a: $i).
% 22.89/3.85 thf(meet_type, type, meet: $i > $i > $i).
% 22.89/3.85 thf(join_type, type, join: $i > $i > $i).
% 22.89/3.85 thf(c_type, type, c: $i).
% 22.89/3.85 thf(prove_wal_axioms_5, conjecture,
% 22.89/3.85 (( meet @ ( meet @ ( join @ a @ b ) @ ( join @ c @ b ) ) @ b ) = ( b ))).
% 22.89/3.85 thf(zf_stmt_0, negated_conjecture,
% 22.89/3.85 (( meet @ ( meet @ ( join @ a @ b ) @ ( join @ c @ b ) ) @ b ) != ( b )),
% 22.89/3.85 inference('cnf.neg', [status(esa)], [prove_wal_axioms_5])).
% 22.89/3.85 thf(zip_derived_cl1, plain,
% 22.89/3.85 (((meet @ (meet @ (join @ a @ b) @ (join @ c @ b)) @ b) != (b))),
% 22.89/3.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.89/3.85 thf(single_axiom, axiom,
% 22.89/3.85 (( join @
% 22.89/3.85 ( meet @
% 22.89/3.85 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @
% 22.89/3.85 ( meet @
% 22.89/3.85 ( join @
% 22.89/3.85 ( meet @
% 22.89/3.85 A @ ( join @ ( join @ ( meet @ B @ D ) @ ( meet @ E @ B ) ) @ B ) ) @
% 22.89/3.85 ( meet @
% 22.89/3.85 ( join @
% 22.89/3.85 ( meet @
% 22.89/3.85 B @
% 22.89/3.85 ( meet @ ( meet @ ( join @ B @ D ) @ ( join @ E @ B ) ) @ B ) ) @
% 22.89/3.85 ( meet @
% 22.89/3.85 F @
% 22.89/3.85 ( join @
% 22.89/3.85 B @
% 22.89/3.85 ( meet @ ( meet @ ( join @ B @ D ) @ ( join @ E @ B ) ) @ B ) ) ) ) @
% 22.89/3.85 ( join @
% 22.89/3.85 A @
% 22.89/3.85 ( join @ ( join @ ( meet @ B @ D ) @ ( meet @ E @ B ) ) @ B ) ) ) ) @
% 22.89/3.85 ( join @
% 22.89/3.85 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 22.89/3.85 ( B ))).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl10, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 22.89/3.85 X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 X5) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 X5) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 22.89/3.85 X2)))
% 22.89/3.85 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 22.89/3.85 thf(zip_derived_cl70, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.89/3.85 X7 : $i, X8 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X6 @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @
% 22.89/3.85 (join @ X6 @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
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% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 22.89/3.85 X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
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% 22.89/3.85 (meet @ X0 @
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% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 22.89/3.85 X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @
% 22.89/3.85 (join @ X6 @ X0))) @
% 22.89/3.85 X5)))
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
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% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl120, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 22.89/3.85 X7 : $i, X8 : $i]:
% 22.89/3.85 ((join @
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% 22.89/3.85 (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5) @
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% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X6 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X8) @ (meet @ X7 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X6 @ X0) @ (meet @ X0 @ (join @ X6 @ X0))) @ X5)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl70, zip_derived_cl0, zip_derived_cl0,
% 22.89/3.85 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 22.89/3.85 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 22.89/3.85 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 22.89/3.85 zip_derived_cl0])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((join @
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% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
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% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl10, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
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% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
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% 22.89/3.85 X5) @
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% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 22.89/3.85 (join @
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% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 22.89/3.85 X2)))
% 22.89/3.85 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 22.89/3.85 thf(zip_derived_cl365, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
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% 22.89/3.85 X0))) @
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% 22.89/3.85 X0))) @
% 22.89/3.85 X0))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl10])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
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% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
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% 22.89/3.85 inference('demod', [status(thm)],
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% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl848, plain,
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% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
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% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 22.89/3.85 X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 X7) @
% 22.89/3.85 (meet @ X6 @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 22.89/3.85 X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 22.89/3.85 (join @ X0 @ X5)))
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl491])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl0, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X3) @ (join @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X1 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X3) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('cnf', [status(esa)], [single_axiom])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl393, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 22.89/3.85 X0))) @
% 22.89/3.85 X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 22.89/3.85 X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 22.89/3.85 X0))) @
% 22.89/3.85 X0))) @
% 22.89/3.85 X1) @
% 22.89/3.85 (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl249, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 22.89/3.85 X1)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl882, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X4 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl848, zip_derived_cl0, zip_derived_cl0,
% 22.89/3.85 zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl1689, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl1689, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))))))) @
% 22.89/3.85 X4) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 X6) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))) @
% 22.89/3.85 X6) @
% 22.89/3.85 (meet @ X5 @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))) @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))))) @
% 22.89/3.85 (join @ X0 @ X4)))
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl491])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl491, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X5) @ (meet @ X4 @ X0)) @ X0)))) @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl365, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249, zip_derived_cl249, zip_derived_cl249,
% 22.89/3.85 zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl886, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491,
% 22.89/3.85 zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl970, plain,
% 22.89/3.85 (![X0 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @
% 22.89/3.85 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 22.89/3.85 = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl491, zip_derived_cl886])).
% 22.89/3.85 thf(zip_derived_cl1852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 22.89/3.85 thf(zip_derived_cl1689, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ X0 @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl2016, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl886, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.89/3.85 ((X0)
% 22.89/3.85 = (join @
% 22.89/3.85 (meet @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)) @
% 22.89/3.85 (meet @ X0 @
% 22.89/3.85 (join @ X3 @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0)))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl852, zip_derived_cl491, zip_derived_cl491,
% 22.89/3.85 zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl2087, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl1852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2154, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ X1 @ X0)
% 22.89/3.85 = (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X1 @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl2226, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)
% 22.89/3.85 = (meet @
% 22.89/3.85 (meet @ X0 @ (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2154])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2232, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl1852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 22.89/3.85 thf(zip_derived_cl2252, plain,
% 22.89/3.85 (![X0 : $i]:
% 22.89/3.85 ((join @ X0 @ (meet @ X0 @ (join @ (meet @ X0 @ X0) @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl1852])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl2281, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl2087, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (join @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2016, zip_derived_cl886])).
% 22.89/3.85 thf(zip_derived_cl2130, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2016, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X3 @ (join @ X0 @ X0))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl1689, zip_derived_cl1996, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2232, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2155, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ X0 @ X1)
% 22.89/3.85 = (meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl2472, plain,
% 22.89/3.85 (![X0 : $i]:
% 22.89/3.85 ((meet @ (meet @ X0 @ X0) @ X0)
% 22.89/3.85 = (meet @
% 22.89/3.85 (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2232, zip_derived_cl2155])).
% 22.89/3.85 thf(zip_derived_cl2232, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl2232, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl2232, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2226, zip_derived_cl2121, zip_derived_cl2121])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl2520, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ X0 @ (meet @ X3 @ (join @ X0 @ X0))))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2016, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl2542, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (meet @ (join @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl1852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 22.89/3.85 thf(zip_derived_cl2612, plain,
% 22.89/3.85 (![X0 : $i]:
% 22.89/3.85 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2542, zip_derived_cl1852])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl2130, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 22.89/3.85 thf(zip_derived_cl2532, plain,
% 22.89/3.85 (![X0 : $i]: ((X0) = (join @ (join @ X0 @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2492, zip_derived_cl2130])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl2681, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2520, zip_derived_cl2630])).
% 22.89/3.85 thf(zip_derived_cl2281, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2686, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ X1 @ X0)
% 22.89/3.85 = (meet @ (meet @ (meet @ X1 @ X0) @ X0) @ (meet @ X1 @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2681, zip_derived_cl2281])).
% 22.89/3.85 thf(zip_derived_cl2997, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ (join @ X0 @ X1) @ X0)
% 22.89/3.85 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl541, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 22.89/3.85 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl3065, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @
% 22.89/3.85 (meet @ (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)) @
% 22.89/3.85 (meet @ X0 @ (join @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))) @
% 22.89/3.85 (meet @ (meet @ (join @ X0 @ X1) @ X0) @ X0))
% 22.89/3.85 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2997, zip_derived_cl541])).
% 22.89/3.85 thf(zip_derived_cl2997, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ (join @ X0 @ X1) @ X0)
% 22.89/3.85 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 22.89/3.85 thf(zip_derived_cl2681, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2520, zip_derived_cl2630])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2121, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2087, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl2997, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ (join @ X0 @ X1) @ X0)
% 22.89/3.85 = (meet @ X0 @ (meet @ (join @ X0 @ X1) @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl2686])).
% 22.89/3.85 thf(zip_derived_cl3119, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl3065, zip_derived_cl2997, zip_derived_cl2681,
% 22.89/3.85 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 22.89/3.85 zip_derived_cl2630, zip_derived_cl2997])).
% 22.89/3.85 thf(zip_derived_cl3161, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ X0)
% 22.89/3.85 = (meet @ X0 @ (join @ (meet @ X0 @ X1) @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2130, zip_derived_cl3119])).
% 22.89/3.85 thf(zip_derived_cl2281, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2252, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl3408, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((X0) = (meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3161, zip_derived_cl2281])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl3454, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ X0 @
% 22.89/3.85 (meet @ (join @ (meet @ X0 @ X1) @ X0) @
% 22.89/3.85 (join @ (join @ (meet @ X0 @ X1) @ X0) @ X0)))
% 22.89/3.85 = (join @ (meet @ X0 @ X1) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3408, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl2130, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]:
% 22.89/3.85 ((X0) = (join @ (join @ (meet @ X0 @ X3) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1996, zip_derived_cl2087])).
% 22.89/3.85 thf(zip_derived_cl3408, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((X0) = (meet @ (join @ (meet @ X0 @ X1) @ X0) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3161, zip_derived_cl2281])).
% 22.89/3.85 thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl3483, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((X0) = (join @ (meet @ X0 @ X1) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl3454, zip_derived_cl2130, zip_derived_cl3408,
% 22.89/3.85 zip_derived_cl2630])).
% 22.89/3.85 thf(zip_derived_cl3512, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((meet @ X0 @ (join @ X1 @ X0))
% 22.89/3.85 = (join @ X0 @ (meet @ X0 @ (join @ X1 @ X0))))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2281, zip_derived_cl3483])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl3584, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0))) @
% 22.89/3.85 (meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3512, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl3119, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl3065, zip_derived_cl2997, zip_derived_cl2681,
% 22.89/3.85 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 22.89/3.85 zip_derived_cl2630, zip_derived_cl2997])).
% 22.89/3.85 thf(zip_derived_cl3166, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl3119])).
% 22.89/3.85 thf(zip_derived_cl3166, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl427, zip_derived_cl3119])).
% 22.89/3.85 thf(zip_derived_cl2630, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2612, zip_derived_cl2532, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl3624, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl3584, zip_derived_cl3166, zip_derived_cl3166,
% 22.89/3.85 zip_derived_cl2630])).
% 22.89/3.85 thf(zip_derived_cl2681, plain,
% 22.89/3.85 (![X0 : $i, X3 : $i]: ((X0) = (join @ X0 @ (meet @ X3 @ X0)))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2520, zip_derived_cl2630])).
% 22.89/3.85 thf(zip_derived_cl427, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl249])).
% 22.89/3.85 thf(zip_derived_cl2690, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl2681, zip_derived_cl427])).
% 22.89/3.85 thf(zip_derived_cl2492, plain, (![X0 : $i]: ((X0) = (meet @ X0 @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2472, zip_derived_cl2232, zip_derived_cl2232,
% 22.89/3.85 zip_derived_cl2232])).
% 22.89/3.85 thf(zip_derived_cl2709, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2690, zip_derived_cl2492])).
% 22.89/3.85 thf(zip_derived_cl1852, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]:
% 22.89/3.85 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl970])).
% 22.89/3.85 thf(zip_derived_cl3119, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl3065, zip_derived_cl2997, zip_derived_cl2681,
% 22.89/3.85 zip_derived_cl2492, zip_derived_cl2121, zip_derived_cl2121,
% 22.89/3.85 zip_derived_cl2630, zip_derived_cl2997])).
% 22.89/3.85 thf(zip_derived_cl3165, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl3119])).
% 22.89/3.85 thf(zip_derived_cl3190, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 22.89/3.85 inference('demod', [status(thm)],
% 22.89/3.85 [zip_derived_cl2709, zip_derived_cl3165])).
% 22.89/3.85 thf(zip_derived_cl3642, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3624, zip_derived_cl3190])).
% 22.89/3.85 thf(zip_derived_cl1996, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl1852, zip_derived_cl1689])).
% 22.89/3.85 thf(zip_derived_cl3742, plain,
% 22.89/3.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.89/3.85 ((X0) = (meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0))),
% 22.89/3.85 inference('sup+', [status(thm)], [zip_derived_cl3642, zip_derived_cl1996])).
% 22.89/3.85 thf(zip_derived_cl4020, plain, (((b) != (b))),
% 22.89/3.85 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3742])).
% 22.89/3.85 thf(zip_derived_cl4021, plain, ($false),
% 22.89/3.85 inference('simplify', [status(thm)], [zip_derived_cl4020])).
% 22.89/3.85
% 22.89/3.85 % SZS output end Refutation
% 22.89/3.85
% 22.89/3.85
% 22.89/3.85 % Terminating...
% 23.37/3.95 % Runner terminated.
% 23.37/3.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------