TSTP Solution File: LAT091-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eMMzn2BWUT true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:45:54 EDT 2023
% Result : Unsatisfiable 3.74s 1.22s
% Output : Refutation 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eMMzn2BWUT true
% 0.18/0.35 % Computer : n012.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 07:26:41 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.74/1.22 % Solved by fo/fo5.sh.
% 3.74/1.22 % done 371 iterations in 0.446s
% 3.74/1.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.74/1.22 % SZS output start Refutation
% 3.74/1.22 thf(b_type, type, b: $i).
% 3.74/1.22 thf(meet_type, type, meet: $i > $i > $i).
% 3.74/1.22 thf(join_type, type, join: $i > $i > $i).
% 3.74/1.22 thf(a_type, type, a: $i).
% 3.74/1.22 thf(prove_normal_axioms_4, conjecture, (( join @ b @ a ) = ( join @ a @ b ))).
% 3.74/1.22 thf(zf_stmt_0, negated_conjecture, (( join @ b @ a ) != ( join @ a @ b )),
% 3.74/1.22 inference('cnf.neg', [status(esa)], [prove_normal_axioms_4])).
% 3.74/1.22 thf(zip_derived_cl5, plain, (((join @ b @ a) != (join @ a @ b))),
% 3.74/1.22 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.74/1.22 thf(wal_absorbtion_5, axiom,
% 3.74/1.22 (( join @ ( join @ ( meet @ A @ B ) @ ( meet @ C @ A ) ) @ A ) = ( A ))).
% 3.74/1.22 thf(zip_derived_cl4, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.74/1.22 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 3.74/1.22 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 3.74/1.22 thf(wal_absorbtion_4, axiom,
% 3.74/1.22 (( meet @ ( meet @ ( join @ A @ B ) @ ( join @ C @ A ) ) @ A ) = ( A ))).
% 3.74/1.22 thf(zip_derived_cl3, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.74/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 3.74/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 3.74/1.22 thf(zip_derived_cl26, plain,
% 3.74/1.22 (![X0 : $i, X3 : $i]:
% 3.74/1.22 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.74/1.22 thf(wal_absorbtion_3, axiom,
% 3.74/1.22 (( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) = ( B ))).
% 3.74/1.22 thf(zip_derived_cl2, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i]:
% 3.74/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 3.74/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 3.74/1.22 thf(zip_derived_cl35, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i]:
% 3.74/1.22 ((join @ X0 @
% 3.74/1.22 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 3.74/1.22 X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 3.74/1.22 thf(zip_derived_cl26, plain,
% 3.74/1.22 (![X0 : $i, X3 : $i]:
% 3.74/1.22 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.74/1.22 thf(zip_derived_cl77, plain,
% 3.74/1.22 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 3.74/1.22 thf(wal_absorbtion_1, axiom,
% 3.74/1.22 (( join @ ( meet @ A @ B ) @ ( meet @ A @ ( join @ A @ B ) ) ) = ( A ))).
% 3.74/1.22 thf(zip_derived_cl0, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i]:
% 3.74/1.22 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 3.74/1.22 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 3.74/1.22 thf(zip_derived_cl26, plain,
% 3.74/1.22 (![X0 : $i, X3 : $i]:
% 3.74/1.22 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 3.74/1.22 thf(zip_derived_cl40, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i]:
% 3.74/1.22 ((meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1))
% 3.74/1.22 = (meet @ X0 @ X1))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 3.74/1.22 thf(zip_derived_cl240, plain,
% 3.74/1.22 (![X0 : $i]:
% 3.74/1.22 ((meet @ (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @
% 3.74/1.22 X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl40])).
% 3.74/1.22 thf(zip_derived_cl77, plain,
% 3.74/1.22 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 3.74/1.22 thf(zip_derived_cl77, plain,
% 3.74/1.22 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 3.74/1.22 thf(zip_derived_cl77, plain,
% 3.74/1.22 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 3.74/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 3.74/1.22 thf(zip_derived_cl260, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 3.74/1.22 inference('demod', [status(thm)],
% 3.74/1.22 [zip_derived_cl240, zip_derived_cl77, zip_derived_cl77,
% 3.74/1.22 zip_derived_cl77])).
% 3.74/1.22 thf(zip_derived_cl3, plain,
% 3.74/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.74/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl316, plain,
% 4.13/1.22 (![X0 : $i]: ((meet @ (join @ X0 @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl2, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.13/1.22 thf(zip_derived_cl358, plain,
% 4.13/1.22 (![X0 : $i]:
% 4.13/1.22 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl2])).
% 4.13/1.22 thf(zip_derived_cl260, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl240, zip_derived_cl77, zip_derived_cl77,
% 4.13/1.22 zip_derived_cl77])).
% 4.13/1.22 thf(zip_derived_cl3, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl4, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.13/1.22 thf(zip_derived_cl27, plain,
% 4.13/1.22 (![X0 : $i, X3 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.13/1.22 thf(zip_derived_cl315, plain,
% 4.13/1.22 (![X0 : $i]: ((join @ (join @ X0 @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl27])).
% 4.13/1.22 thf(zip_derived_cl260, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl240, zip_derived_cl77, zip_derived_cl77,
% 4.13/1.22 zip_derived_cl77])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl3, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl0, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.13/1.22 thf(zip_derived_cl14, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((join @ X0 @
% 4.13/1.22 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 4.13/1.22 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 4.13/1.22 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.13/1.22 thf(zip_derived_cl870, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @
% 4.13/1.22 (meet @ (meet @ (join @ X0 @ X1) @ (join @ X0 @ X0)) @
% 4.13/1.22 (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0)))
% 4.13/1.22 = (meet @ (join @ X0 @ X1) @ (join @ X0 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl368, zip_derived_cl14])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl2, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.13/1.22 thf(zip_derived_cl35, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 4.13/1.22 X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 4.13/1.22 thf(zip_derived_cl3, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl2, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.13/1.22 thf(zip_derived_cl101, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) = (
% 4.13/1.22 X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl2])).
% 4.13/1.22 thf(zip_derived_cl2, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.13/1.22 thf(zip_derived_cl0, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.13/1.22 thf(zip_derived_cl9, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 4.13/1.22 (meet @ (meet @ X1 @ X0) @ X0)) = (meet @ X1 @ X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 4.13/1.22 thf(zip_derived_cl414, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @
% 4.13/1.22 (meet @
% 4.13/1.22 (meet @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) @
% 4.13/1.22 (meet @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0)) @ X0)) @
% 4.13/1.22 (meet @
% 4.13/1.22 (meet @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))))
% 4.13/1.22 = (meet @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl9])).
% 4.13/1.22 thf(zip_derived_cl2, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl112, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @
% 4.13/1.22 (meet @ X0 @ (join @ X1 @ X0))) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl72])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl115, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.13/1.22 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl115, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.13/1.22 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.13/1.22 thf(zip_derived_cl260, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl240, zip_derived_cl77, zip_derived_cl77,
% 4.13/1.22 zip_derived_cl77])).
% 4.13/1.22 thf(zip_derived_cl101, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @
% 4.13/1.22 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) = (
% 4.13/1.22 X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl2])).
% 4.13/1.22 thf(zip_derived_cl115, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.13/1.22 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.13/1.22 thf(zip_derived_cl435, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((X0) = (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl414, zip_derived_cl115, zip_derived_cl72,
% 4.13/1.22 zip_derived_cl72, zip_derived_cl115, zip_derived_cl260,
% 4.13/1.22 zip_derived_cl101, zip_derived_cl115])).
% 4.13/1.22 thf(wal_absorbtion_2, axiom,
% 4.13/1.22 (( join @ ( meet @ A @ A ) @ ( meet @ B @ ( join @ A @ A ) ) ) = ( A ))).
% 4.13/1.22 thf(zip_derived_cl1, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X0) @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_2])).
% 4.13/1.22 thf(zip_derived_cl260, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl240, zip_derived_cl77, zip_derived_cl77,
% 4.13/1.22 zip_derived_cl77])).
% 4.13/1.22 thf(zip_derived_cl302, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl446, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl706, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @ X0)
% 4.13/1.22 = (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl446])).
% 4.13/1.22 thf(zip_derived_cl27, plain,
% 4.13/1.22 (![X0 : $i, X3 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.13/1.22 thf(zip_derived_cl745, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((X0) = (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl706, zip_derived_cl27])).
% 4.13/1.22 thf(zip_derived_cl0, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.13/1.22 thf(zip_derived_cl753, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @
% 4.13/1.22 (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))
% 4.13/1.22 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl745, zip_derived_cl0])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl72, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl788, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl753, zip_derived_cl72, zip_derived_cl72,
% 4.13/1.22 zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl800, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl26, plain,
% 4.13/1.22 (![X0 : $i, X3 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl912, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl870, zip_derived_cl368, zip_derived_cl800,
% 4.13/1.22 zip_derived_cl26, zip_derived_cl368, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl27, plain,
% 4.13/1.22 (![X0 : $i, X3 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.13/1.22 thf(zip_derived_cl912, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl870, zip_derived_cl368, zip_derived_cl800,
% 4.13/1.22 zip_derived_cl26, zip_derived_cl368, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl976, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X1) @ X0)
% 4.13/1.22 = (meet @ X0 @ (join @ (meet @ X0 @ X1) @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl912])).
% 4.13/1.22 thf(zip_derived_cl788, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl753, zip_derived_cl72, zip_derived_cl72,
% 4.13/1.22 zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl983, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X0 @ X1) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl1075, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X0 @ X1)) = (join @ X0 @ X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl912, zip_derived_cl983])).
% 4.13/1.22 thf(zip_derived_cl0, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.13/1.22 thf(zip_derived_cl1291, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ (join @ X1 @ X0)) @
% 4.13/1.22 (meet @ X1 @ (join @ X1 @ X0))) = (X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl0])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl2412, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X0 @ X1)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl1291, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl446, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl2551, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (join @ X0 @ X1) @ X0) = (join @ X0 @ X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2412, zip_derived_cl446])).
% 4.13/1.22 thf(zip_derived_cl788, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl753, zip_derived_cl72, zip_derived_cl72,
% 4.13/1.22 zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl800, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl850, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl800])).
% 4.13/1.22 thf(zip_derived_cl3, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl1139, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl850, zip_derived_cl3])).
% 4.13/1.22 thf(zip_derived_cl2609, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X2 @ X1) @ (join @ X1 @ X0)) @ X1) = (X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2551, zip_derived_cl1139])).
% 4.13/1.22 thf(zip_derived_cl983, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X0 @ X1) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl1291, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ X1 @ (join @ X1 @ X0)) @
% 4.13/1.22 (meet @ X1 @ (join @ X1 @ X0))) = (X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl0])).
% 4.13/1.22 thf(zip_derived_cl2446, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (meet @ (meet @ X0 @ X1) @ (join @ (meet @ X0 @ X1) @ X0)) @
% 4.13/1.22 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl983, zip_derived_cl1291])).
% 4.13/1.22 thf(zip_derived_cl983, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X0 @ X1) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl368, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl358, zip_derived_cl315, zip_derived_cl260])).
% 4.13/1.22 thf(zip_derived_cl2484, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X0 @ X1) @ X0) = (meet @ X0 @ X1))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl2446, zip_derived_cl983, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl2930, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X0 @ X1)))
% 4.13/1.22 = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X0 @ X1)) @ X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2609, zip_derived_cl2484])).
% 4.13/1.22 thf(zip_derived_cl2609, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X2 @ X1) @ (join @ X1 @ X0)) @ X1) = (X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2551, zip_derived_cl1139])).
% 4.13/1.22 thf(zip_derived_cl2994, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X0 @ X1))) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl2930, zip_derived_cl2609])).
% 4.13/1.22 thf(zip_derived_cl3, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.13/1.22 thf(zip_derived_cl4, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.13/1.22 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.13/1.22 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.13/1.22 thf(zip_derived_cl28, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.13/1.22 ((join @
% 4.13/1.22 (join @ X0 @
% 4.13/1.22 (meet @ X3 @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))) @
% 4.13/1.22 (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))
% 4.13/1.22 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.13/1.22 thf(zip_derived_cl3619, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ (join @ X1 @ X0) @
% 4.13/1.22 (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))
% 4.13/1.22 = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2994, zip_derived_cl28])).
% 4.13/1.22 thf(zip_derived_cl983, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X0 @ X1) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl2551, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (join @ X0 @ X1) @ X0) = (join @ X0 @ X1))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl2412, zip_derived_cl446])).
% 4.13/1.22 thf(zip_derived_cl2623, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X0 @ (meet @ X0 @ X1)) = (join @ (meet @ X0 @ X1) @ X0))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl983, zip_derived_cl2551])).
% 4.13/1.22 thf(zip_derived_cl983, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X0 @ X1) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl2635, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl2623, zip_derived_cl983])).
% 4.13/1.22 thf(zip_derived_cl3694, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl3619, zip_derived_cl2635])).
% 4.13/1.22 thf(zip_derived_cl800, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl788])).
% 4.13/1.22 thf(zip_derived_cl912, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((X0) = (meet @ (join @ X0 @ X1) @ X0))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl870, zip_derived_cl368, zip_derived_cl800,
% 4.13/1.22 zip_derived_cl26, zip_derived_cl368, zip_derived_cl368])).
% 4.13/1.22 thf(zip_derived_cl978, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl912])).
% 4.13/1.22 thf(zip_derived_cl3709, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((meet @ (join @ X1 @ X0) @ (join @ X0 @ X1))
% 4.13/1.22 = (meet @ (join @ X0 @ X1) @ (join @ X1 @ X0)))),
% 4.13/1.22 inference('sup+', [status(thm)], [zip_derived_cl3694, zip_derived_cl978])).
% 4.13/1.22 thf(zip_derived_cl3694, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl3619, zip_derived_cl2635])).
% 4.13/1.22 thf(zip_derived_cl3694, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]:
% 4.13/1.22 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl3619, zip_derived_cl2635])).
% 4.13/1.22 thf(zip_derived_cl3813, plain,
% 4.13/1.22 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 4.13/1.22 inference('demod', [status(thm)],
% 4.13/1.22 [zip_derived_cl3709, zip_derived_cl3694, zip_derived_cl3694])).
% 4.13/1.22 thf(zip_derived_cl3829, plain, (((join @ b @ a) != (join @ b @ a))),
% 4.13/1.22 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3813])).
% 4.13/1.22 thf(zip_derived_cl3830, plain, ($false),
% 4.13/1.22 inference('simplify', [status(thm)], [zip_derived_cl3829])).
% 4.13/1.22
% 4.13/1.22 % SZS output end Refutation
% 4.13/1.22
% 4.13/1.22
% 4.13/1.23 % Terminating...
% 4.32/1.29 % Runner terminated.
% 4.32/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------