%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT086-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9lGaLHiM3U true
% Computer : n007.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 29.07s 4.75s
% Output : Refutation 29.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT086-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9lGaLHiM3U true
% 0.14/0.34 % Computer : n007.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 14:40:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 29.07/4.75 % Solved by fo/fo7.sh.
% 29.07/4.75 % done 912 iterations in 3.952s
% 29.07/4.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.07/4.75 % SZS output start Refutation
% 29.07/4.75 thf(a_type, type, a: $i).
% 29.07/4.75 thf(meet_type, type, meet: $i > $i > $i).
% 29.07/4.75 thf(join_type, type, join: $i > $i > $i).
% 29.07/4.75 thf(b_type, type, b: $i).
% 29.07/4.75 thf(prove_normal_axioms_7, conjecture,
% 29.07/4.75 (( meet @ a @ ( join @ a @ b ) ) = ( a ))).
% 29.07/4.75 thf(zf_stmt_0, negated_conjecture,
% 29.07/4.75 (( meet @ a @ ( join @ a @ b ) ) != ( a )),
% 29.07/4.75 inference('cnf.neg', [status(esa)], [prove_normal_axioms_7])).
% 29.07/4.75 thf(zip_derived_cl1, plain, (((meet @ a @ (join @ a @ b)) != (a))),
% 29.07/4.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.07/4.75 thf(single_axiom, axiom,
% 29.07/4.75 (( join @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( join @
% 29.07/4.75 ( meet @
% 29.07/4.75 A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( join @
% 29.07/4.75 ( meet @
% 29.07/4.75 B @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @
% 29.07/4.75 B ) ) @
% 29.07/4.75 ( meet @
% 29.07/4.75 G @
% 29.07/4.75 ( join @
% 29.07/4.75 B @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( meet @
% 29.07/4.75 ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @
% 29.07/4.75 B ) ) ) ) @
% 29.07/4.75 ( join @
% 29.07/4.75 A @
% 29.07/4.75 ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @
% 29.07/4.75 ( join @
% 29.07/4.75 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 29.07/4.75 ( B ))).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl12, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 29.07/4.75 X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X4)) @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X4)) @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 29.07/4.75 X2)))
% 29.07/4.75 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.07/4.75 thf(zip_derived_cl80, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 29.07/4.75 X7 : $i, X8 : $i, X9 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X7 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
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% 29.07/4.75 (join @ X4 @ X0)) @
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% 29.07/4.75 (join @ X3 @
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% 29.07/4.75 (join @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))))) @
% 29.07/4.75 (join @
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% 29.07/4.75 (meet @
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% 29.07/4.75 X0)) @
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% 29.07/4.75 (meet @
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% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
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% 29.07/4.75 (meet @
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% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 29.07/4.75 (meet @
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% 29.07/4.75 X0)) @
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% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
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% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
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% 29.07/4.75 X0)) @
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% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 29.07/4.75 (join @ X7 @ X0))) @
% 29.07/4.75 X6)))
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl130, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 29.07/4.75 X7 : $i, X8 : $i, X9 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X7 @
% 29.07/4.75 (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @ X7 @
% 29.07/4.75 (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl80, zip_derived_cl0, zip_derived_cl0,
% 29.07/4.75 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 29.07/4.75 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 29.07/4.75 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 29.07/4.75 zip_derived_cl0])).
% 29.07/4.75 thf(zip_derived_cl267, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl12, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 29.07/4.75 X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X4)) @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X4)) @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 29.07/4.75 X2)))
% 29.07/4.75 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.07/4.75 thf(zip_derived_cl413, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0)))))) @
% 29.07/4.75 X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @
% 29.07/4.75 (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
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% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
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% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl267, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl936, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 29.07/4.75 X7 : $i, X8 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
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% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 29.07/4.75 X6) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X8 @
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% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 X7)) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
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% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @
% 29.07/4.75 (meet @
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% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
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% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
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% 29.07/4.75 (meet @ X8 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
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% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 29.07/4.75 (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 X7)) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 29.07/4.75 (join @ X0 @ X6)))
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl547])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl0, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X1 @
% 29.07/4.75 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('cnf', [status(esa)], [single_axiom])).
% 29.07/4.75 thf(zip_derived_cl267, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl267, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl449, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 29.07/4.75 X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl267, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 29.07/4.75 X1)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl982, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)) @
% 29.07/4.75 (meet @ X5 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 29.07/4.75 X0)))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl936, zip_derived_cl0, zip_derived_cl0,
% 29.07/4.75 zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl2146, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 29.07/4.75 (meet @ X4 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 29.07/4.75 X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl2146, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 29.07/4.75 (meet @ X4 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 29.07/4.75 X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl940, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 29.07/4.75 X4) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 X5)) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X6 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 X5)) @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 29.07/4.75 (join @ X0 @ X4)))
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl547])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl547, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 29.07/4.75 zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl986, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547,
% 29.07/4.75 zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl1090, plain,
% 29.07/4.75 (![X0 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 29.07/4.75 = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl986])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl2146, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 29.07/4.75 (meet @ X4 @
% 29.07/4.75 (join @ X0 @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 29.07/4.75 X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl2532, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 29.07/4.75 thf(zip_derived_cl2532, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 29.07/4.75 thf(zip_derived_cl2560, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]:
% 29.07/4.75 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl2560, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]:
% 29.07/4.75 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl986, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547,
% 29.07/4.75 zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl1126, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X1 @
% 29.07/4.75 (join @
% 29.07/4.75 (join @ (meet @ X0 @ X0) @ (meet @ X0 @ (join @ X0 @ X0))) @ X0)) @
% 29.07/4.75 (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl986])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl1136, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @ (meet @ X1 @ (join @ X0 @ X0)) @
% 29.07/4.75 (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2676, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]:
% 29.07/4.75 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2560, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2676, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]:
% 29.07/4.75 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2560, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2741, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2676, zip_derived_cl2721])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl605, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 29.07/4.75 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl2795, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) @
% 29.07/4.75 (meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0))
% 29.07/4.75 = (meet @ X0 @ (meet @ X1 @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl605])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2813, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((meet @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0)
% 29.07/4.75 = (meet @ X0 @ (meet @ X1 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2795, zip_derived_cl2721, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2741, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2676, zip_derived_cl2721])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2532, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 29.07/4.75 thf(zip_derived_cl2688, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl3240, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3326, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl3326, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl3447, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2813, zip_derived_cl3326, zip_derived_cl3326])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2532, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 29.07/4.75 thf(zip_derived_cl2680, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl3028, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X1) = (meet @ (meet @ (join @ X1 @ X0) @ X1) @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2680])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl3447, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X0) = (meet @ X1 @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2813, zip_derived_cl3326, zip_derived_cl3326])).
% 29.07/4.75 thf(zip_derived_cl2680, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl3583, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (join @ X2 @ (join @ X0 @ X1)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl2680])).
% 29.07/4.75 thf(zip_derived_cl3797, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 29.07/4.75 thf(zip_derived_cl3950, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X1)
% 29.07/4.75 = (meet @ X0 @ (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl3797])).
% 29.07/4.75 thf(zip_derived_cl6131, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @
% 29.07/4.75 (meet @ (meet @ X0 @ (join @ X2 @ X0)) @
% 29.07/4.75 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0)))) @
% 29.07/4.75 X1)
% 29.07/4.75 = (meet @ (meet @ X0 @ (join @ X2 @ X0)) @
% 29.07/4.75 (meet @ (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ X0) @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl3950])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl2688, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl6167, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ X0 @ X1)
% 29.07/4.75 = (meet @ (meet @ X0 @ (join @ X2 @ X0)) @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl6131, zip_derived_cl2354, zip_derived_cl3254,
% 29.07/4.75 zip_derived_cl3254])).
% 29.07/4.75 thf(zip_derived_cl605, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 29.07/4.75 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl7660, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))
% 29.07/4.75 = (meet @ X0 @ (join @ X1 @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl6167, zip_derived_cl605])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl7813, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 29.07/4.75 = (meet @ X0 @ (join @ X1 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl7660, zip_derived_cl3254])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl3635, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3584, zip_derived_cl2354])).
% 29.07/4.75 thf(zip_derived_cl3240, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl2354, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 29.07/4.75 thf(zip_derived_cl3297, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3240, zip_derived_cl2354])).
% 29.07/4.75 thf(zip_derived_cl605, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 29.07/4.75 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl4184, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) @
% 29.07/4.75 (meet @ X0 @ X0)) @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))) @ X0))
% 29.07/4.75 = (meet @ X0 @ (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3297, zip_derived_cl605])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl3666, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3666, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl3666, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ X1) = (meet @ X0 @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3584])).
% 29.07/4.75 thf(zip_derived_cl4215, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ X0 @ (join @ (join @ X1 @ X0) @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl4184, zip_derived_cl3666, zip_derived_cl2721,
% 29.07/4.75 zip_derived_cl3254, zip_derived_cl3666, zip_derived_cl3254,
% 29.07/4.75 zip_derived_cl2658, zip_derived_cl3666])).
% 29.07/4.75 thf(zip_derived_cl4650, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))
% 29.07/4.75 = (meet @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)) @
% 29.07/4.75 (join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3635, zip_derived_cl4215])).
% 29.07/4.75 thf(zip_derived_cl3635, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X1) @ X0))) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3584, zip_derived_cl2354])).
% 29.07/4.75 thf(zip_derived_cl3254, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2658, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl4694, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((meet @ X0 @ (join @ (join @ X0 @ X1) @ X0)) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl4650, zip_derived_cl3635, zip_derived_cl3254])).
% 29.07/4.75 thf(zip_derived_cl2741, plain,
% 29.07/4.75 (![X0 : $i, X4 : $i]: ((X0) = (join @ X0 @ (meet @ X4 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2676, zip_derived_cl2721])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl2794, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ (meet @ X0 @ X0)) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl2721, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl2812, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (meet @ X1 @ X0)) @ X0) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2794, zip_derived_cl2721])).
% 29.07/4.75 thf(zip_derived_cl3326, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2741, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl3446, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2812, zip_derived_cl3326])).
% 29.07/4.75 thf(zip_derived_cl4713, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ X0 @ (join @ (join @ X0 @ X1) @ X0))
% 29.07/4.75 = (join @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl4694, zip_derived_cl3446])).
% 29.07/4.75 thf(zip_derived_cl11062, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @
% 29.07/4.75 (join @ (meet @ X0 @ (join @ X1 @ X0)) @
% 29.07/4.75 (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0)))))
% 29.07/4.75 = (join @
% 29.07/4.75 (join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0) @
% 29.07/4.75 (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0)))))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl7813, zip_derived_cl4713])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl7813, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 29.07/4.75 = (meet @ X0 @ (join @ X1 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl7660, zip_derived_cl3254])).
% 29.07/4.75 thf(zip_derived_cl7813, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X0 @ (join @ X1 @ X0))) @ X0)
% 29.07/4.75 = (meet @ X0 @ (join @ X1 @ X0)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl7660, zip_derived_cl3254])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl11198, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl11062, zip_derived_cl483, zip_derived_cl7813,
% 29.07/4.75 zip_derived_cl7813, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl3446, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl2812, zip_derived_cl3326])).
% 29.07/4.75 thf(zip_derived_cl11223, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11198, zip_derived_cl3446])).
% 29.07/4.75 thf(zip_derived_cl2532, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 29.07/4.75 thf(zip_derived_cl11389, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11223, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl986, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547,
% 29.07/4.75 zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl1121, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 X0))
% 29.07/4.75 = (meet @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl12916, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ X5 @
% 29.07/4.75 (join @ X4 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 29.07/4.75 (meet @ X0 @
% 29.07/4.75 (join @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ X5 @
% 29.07/4.75 (join @ X4 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0) @ X0))
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @
% 29.07/4.75 (join @ X5 @
% 29.07/4.75 (join @ X4 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ X3 @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))) @
% 29.07/4.75 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11389, zip_derived_cl1121])).
% 29.07/4.75 thf(zip_derived_cl11389, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11223, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl3797, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 29.07/4.75 thf(zip_derived_cl3240, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3240, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3797, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ X0 @ X1) = (meet @ (join @ X2 @ X0) @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3583])).
% 29.07/4.75 thf(zip_derived_cl3938, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((meet @ (join @ X1 @ X0) @ X0)
% 29.07/4.75 = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3240, zip_derived_cl3797])).
% 29.07/4.75 thf(zip_derived_cl3240, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X1 @ X0) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl2688])).
% 29.07/4.75 thf(zip_derived_cl3960, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl3938, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl605, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 29.07/4.75 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl11223, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11198, zip_derived_cl3446])).
% 29.07/4.75 thf(zip_derived_cl11426, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X1 @ X0) @ X1) @ (meet @ X1 @ X0))
% 29.07/4.75 = (join @
% 29.07/4.75 (meet @ (meet @ X1 @ X0) @ (meet @ X1 @ (join @ X1 @ X0))) @
% 29.07/4.75 (meet @ (meet @ X1 @ X0) @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl605, zip_derived_cl11223])).
% 29.07/4.75 thf(zip_derived_cl605, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 29.07/4.75 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl11442, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (meet @ X1 @ X0) @ X1) @ (meet @ X1 @ X0))
% 29.07/4.75 = (meet @ X1 @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl11426, zip_derived_cl605])).
% 29.07/4.75 thf(zip_derived_cl11916, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @
% 29.07/4.75 (meet @ (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0) @
% 29.07/4.75 (join @ X2 @ (join @ X1 @ X0))) @
% 29.07/4.75 X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl3960, zip_derived_cl11442])).
% 29.07/4.75 thf(zip_derived_cl3960, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl3938, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl3960, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (meet @ (join @ X2 @ (join @ X1 @ X0)) @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl3938, zip_derived_cl3240])).
% 29.07/4.75 thf(zip_derived_cl11980, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ (join @ X2 @ (join @ X1 @ X0))) @ X0) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl11916, zip_derived_cl3960, zip_derived_cl3960])).
% 29.07/4.75 thf(zip_derived_cl11389, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.07/4.75 ((X0)
% 29.07/4.75 = (meet @
% 29.07/4.75 (meet @ (join @ X3 @ (join @ X1 @ X0)) @ (join @ X2 @ X0)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl11223, zip_derived_cl2532])).
% 29.07/4.75 thf(zip_derived_cl13020, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.07/4.75 ((X0) = (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl12916, zip_derived_cl11389, zip_derived_cl3797,
% 29.07/4.75 zip_derived_cl3240, zip_derived_cl11980, zip_derived_cl11389])).
% 29.07/4.75 thf(zip_derived_cl13135, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((X0) = (join @ (join @ X0 @ (meet @ X0 @ X1)) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl2721, zip_derived_cl13020])).
% 29.07/4.75 thf(zip_derived_cl483, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 29.07/4.75 thf(zip_derived_cl13436, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((join @ (meet @ (join @ X0 @ (meet @ X0 @ X1)) @ X0) @
% 29.07/4.75 (meet @ (join @ X0 @ (meet @ X0 @ X1)) @ X0))
% 29.07/4.75 = (join @ X0 @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl13135, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 29.07/4.75 thf(zip_derived_cl13531, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (join @ X0 @ (meet @ X0 @ X1)))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl13436, zip_derived_cl3584, zip_derived_cl3584,
% 29.07/4.75 zip_derived_cl2658])).
% 29.07/4.75 thf(zip_derived_cl11198, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl11062, zip_derived_cl483, zip_derived_cl7813,
% 29.07/4.75 zip_derived_cl7813, zip_derived_cl483])).
% 29.07/4.75 thf(zip_derived_cl13553, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X0 @ X1) @ X0) = (meet @ X0 @ X1))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl13531, zip_derived_cl11198])).
% 29.07/4.75 thf(zip_derived_cl13670, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]:
% 29.07/4.75 ((meet @ X0 @ (join @ X0 @ X1)) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)],
% 29.07/4.75 [zip_derived_cl3584, zip_derived_cl13553])).
% 29.07/4.75 thf(zip_derived_cl3584, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 29.07/4.75 inference('sup+', [status(thm)], [zip_derived_cl3447, zip_derived_cl3028])).
% 29.07/4.75 thf(zip_derived_cl13702, plain,
% 29.07/4.75 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 29.07/4.75 inference('demod', [status(thm)],
% 29.07/4.75 [zip_derived_cl13670, zip_derived_cl3584])).
% 29.07/4.75 thf(zip_derived_cl13749, plain, (((a) != (a))),
% 29.07/4.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl13702])).
% 29.07/4.75 thf(zip_derived_cl13750, plain, ($false),
% 29.07/4.75 inference('simplify', [status(thm)], [zip_derived_cl13749])).
% 29.07/4.75
% 29.07/4.75 % SZS output end Refutation
% 29.07/4.75
% 29.07/4.75
% 29.07/4.75 % Terminating...
% 29.07/4.75 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 29.78/4.89 % Runner terminated.
% 29.78/4.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------