%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT091-1 : 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.VnA9W2OSyA true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:41:04 PM UTC 2025
% Result : Unsatisfiable 4.06s 1.18s
% Output : Refutation 4.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT091-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VnA9W2OSyA true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:45:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /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
% 0.56/0.76 % /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
% 4.06/1.18 % Solved by fo/fo4.sh.
% 4.06/1.18 % done 368 iterations in 0.401s
% 4.06/1.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.06/1.18 % SZS output start Refutation
% 4.06/1.18 thf(b_type, type, b: $i).
% 4.06/1.18 thf(meet_type, type, meet: $i > $i > $i).
% 4.06/1.18 thf(join_type, type, join: $i > $i > $i).
% 4.06/1.18 thf(a_type, type, a: $i).
% 4.06/1.18 thf(prove_normal_axioms_4, conjecture, (( join @ b @ a ) = ( join @ a @ b ))).
% 4.06/1.18 thf(zf_stmt_0, negated_conjecture, (( join @ b @ a ) != ( join @ a @ b )),
% 4.06/1.18 inference('cnf.neg', [status(esa)], [prove_normal_axioms_4])).
% 4.06/1.18 thf(zip_derived_cl5, plain, (((join @ b @ a) != (join @ a @ b))),
% 4.06/1.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.06/1.18 thf(wal_absorbtion_3, axiom,
% 4.06/1.18 (( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) = ( B ))).
% 4.06/1.18 thf(zip_derived_cl2, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.06/1.18 thf(wal_absorbtion_5, axiom,
% 4.06/1.18 (( join @ ( join @ ( meet @ A @ B ) @ ( meet @ C @ A ) ) @ A ) = ( A ))).
% 4.06/1.18 thf(zip_derived_cl4, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.06/1.18 thf(wal_absorbtion_4, axiom,
% 4.06/1.18 (( meet @ ( meet @ ( join @ A @ B ) @ ( join @ C @ A ) ) @ A ) = ( A ))).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl26, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl2, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.06/1.18 thf(zip_derived_cl35, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 4.06/1.18 X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl2, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.06/1.18 thf(zip_derived_cl101, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) = (
% 4.06/1.18 X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl2])).
% 4.06/1.18 thf(wal_absorbtion_1, axiom,
% 4.06/1.18 (( join @ ( meet @ A @ B ) @ ( meet @ A @ ( join @ A @ B ) ) ) = ( A ))).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl6, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 4.06/1.18 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl674, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @
% 4.06/1.18 (meet @
% 4.06/1.18 (meet @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) @
% 4.06/1.18 (meet @ X0 @ X0)) @
% 4.06/1.18 (meet @
% 4.06/1.18 (meet @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))) @
% 4.06/1.18 X0))
% 4.06/1.18 = (meet @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl6])).
% 4.06/1.18 thf(zip_derived_cl2, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl112, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @
% 4.06/1.18 (meet @ X0 @ (join @ X1 @ X0))) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl72])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl115, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.06/1.18 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.06/1.18 thf(zip_derived_cl35, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X0 @
% 4.06/1.18 (meet @ X0 @ (join @ (meet @ (join @ X0 @ X1) @ X0) @ X0))) = (
% 4.06/1.18 X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 4.06/1.18 thf(zip_derived_cl26, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl77, plain,
% 4.06/1.18 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl26, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl40, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (meet @ X0 @ X1)) @ (meet @ X0 @ X1))
% 4.06/1.18 = (meet @ X0 @ X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 4.06/1.18 thf(zip_derived_cl199, plain,
% 4.06/1.18 (![X0 : $i]:
% 4.06/1.18 ((meet @ (meet @ (meet @ X0 @ X0) @ (meet @ (meet @ X0 @ X0) @ X0)) @
% 4.06/1.18 X0) = (meet @ (meet @ X0 @ X0) @ X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl40])).
% 4.06/1.18 thf(zip_derived_cl77, plain,
% 4.06/1.18 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 4.06/1.18 thf(zip_derived_cl77, plain,
% 4.06/1.18 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 4.06/1.18 thf(zip_derived_cl77, plain,
% 4.06/1.18 (![X0 : $i]: ((meet @ (meet @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 4.06/1.18 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 4.06/1.18 zip_derived_cl77])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl115, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.06/1.18 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 4.06/1.18 zip_derived_cl77])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl248, plain,
% 4.06/1.18 (![X0 : $i]: ((meet @ (join @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl2, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_3])).
% 4.06/1.18 thf(zip_derived_cl286, plain,
% 4.06/1.18 (![X0 : $i]:
% 4.06/1.18 ((join @ X0 @ (meet @ X0 @ (join @ (join @ X0 @ X0) @ X0))) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl2])).
% 4.06/1.18 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 4.06/1.18 zip_derived_cl77])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl4, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.06/1.18 thf(zip_derived_cl27, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.06/1.18 thf(zip_derived_cl247, plain,
% 4.06/1.18 (![X0 : $i]: ((join @ (join @ X0 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl27])).
% 4.06/1.18 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 4.06/1.18 zip_derived_cl77])).
% 4.06/1.18 thf(zip_derived_cl296, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl286, zip_derived_cl247, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl115, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ X0 @ (meet @ X0 @ (join @ X1 @ X0)))
% 4.06/1.18 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl72])).
% 4.06/1.18 thf(zip_derived_cl710, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((X0) = (meet @ X0 @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl674, zip_derived_cl115, zip_derived_cl217,
% 4.06/1.18 zip_derived_cl72, zip_derived_cl115, zip_derived_cl72,
% 4.06/1.18 zip_derived_cl296, zip_derived_cl115])).
% 4.06/1.18 thf(wal_absorbtion_2, axiom,
% 4.06/1.18 (( join @ ( meet @ A @ A ) @ ( meet @ B @ ( join @ A @ A ) ) ) = ( A ))).
% 4.06/1.18 thf(zip_derived_cl1, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X0) @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_2])).
% 4.06/1.18 thf(zip_derived_cl217, plain, (![X0 : $i]: ((meet @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl199, zip_derived_cl77, zip_derived_cl77,
% 4.06/1.18 zip_derived_cl77])).
% 4.06/1.18 thf(zip_derived_cl235, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X0 @ (meet @ X1 @ (join @ X0 @ X0))) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl296, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl286, zip_derived_cl247, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl320, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl781, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @ X0)
% 4.06/1.18 = (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl320])).
% 4.06/1.18 thf(zip_derived_cl27, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.06/1.18 thf(zip_derived_cl824, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((X0) = (join @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl27])).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl834, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) @
% 4.06/1.18 (meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0))
% 4.06/1.18 = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl824, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl72, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (meet @ X0 @ (join @ X1 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl296, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl286, zip_derived_cl247, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl868, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl834, zip_derived_cl72, zip_derived_cl72,
% 4.06/1.18 zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl14, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ X0 @
% 4.06/1.18 (meet @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @
% 4.06/1.18 (join @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)) @ X0)))
% 4.06/1.18 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl1011, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ X0 @
% 4.06/1.18 (meet @
% 4.06/1.18 (meet @ (join @ X0 @ X2) @ (join @ (meet @ X1 @ X0) @ X0)) @
% 4.06/1.18 (join @ (meet @ (join @ X0 @ X2) @ X0) @ X0)))
% 4.06/1.18 = (meet @ (join @ X0 @ X2) @ (join @ (meet @ X1 @ X0) @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl878, zip_derived_cl14])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl26, plain,
% 4.06/1.18 (![X0 : $i, X3 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X3) @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl296, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl286, zip_derived_cl247, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl1028, plain,
% 4.06/1.18 (![X0 : $i, X2 : $i]: ((X0) = (meet @ (join @ X0 @ X2) @ X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl1011, zip_derived_cl878, zip_derived_cl878,
% 4.06/1.18 zip_derived_cl26, zip_derived_cl296, zip_derived_cl878])).
% 4.06/1.18 thf(zip_derived_cl6, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 4.06/1.18 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl868, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl834, zip_derived_cl72, zip_derived_cl72,
% 4.06/1.18 zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl320, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl890, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (join @ X1 @ X0) @ X0) = (join @ X1 @ X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl868, zip_derived_cl320])).
% 4.06/1.18 thf(zip_derived_cl1132, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 4.06/1.18 = (join @
% 4.06/1.18 (meet @ (meet @ X1 @ X0) @ (meet @ X1 @ (join @ X1 @ X0))) @
% 4.06/1.18 (meet @ (meet @ X1 @ X0) @ X1)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl890])).
% 4.06/1.18 thf(zip_derived_cl6, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) @
% 4.06/1.18 (meet @ (meet @ X0 @ X1) @ X0)) = (meet @ X0 @ X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl1143, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 4.06/1.18 = (meet @ X1 @ X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl6])).
% 4.06/1.18 thf(zip_derived_cl4, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.06/1.18 thf(zip_derived_cl0, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_1])).
% 4.06/1.18 thf(zip_derived_cl23, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ (meet @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0) @
% 4.06/1.18 (meet @ (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)) @ X0))
% 4.06/1.18 = (join @ (meet @ X0 @ X2) @ (meet @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.06/1.18 thf(zip_derived_cl2133, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @
% 4.06/1.18 (meet @
% 4.06/1.18 (join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1)) @ X1) @
% 4.06/1.18 (meet @ (meet @ X1 @ X0) @ X1))
% 4.06/1.18 = (join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl1143, zip_derived_cl23])).
% 4.06/1.18 thf(zip_derived_cl1143, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 4.06/1.18 = (meet @ X1 @ X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl6])).
% 4.06/1.18 thf(zip_derived_cl296, plain, (![X0 : $i]: ((join @ X0 @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl286, zip_derived_cl247, zip_derived_cl217])).
% 4.06/1.18 thf(zip_derived_cl1143, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (meet @ X1 @ X0) @ (meet @ (meet @ X1 @ X0) @ X1))
% 4.06/1.18 = (meet @ X1 @ X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl6])).
% 4.06/1.18 thf(zip_derived_cl2209, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl2133, zip_derived_cl1143, zip_derived_cl296,
% 4.06/1.18 zip_derived_cl1143])).
% 4.06/1.18 thf(zip_derived_cl320, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl2226, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X1 @ (meet @ X1 @ X0)) = (X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl2209, zip_derived_cl320])).
% 4.06/1.18 thf(zip_derived_cl2309, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (join @ X0 @ X1) @ X0) = (join @ X0 @ X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl1028, zip_derived_cl2226])).
% 4.06/1.18 thf(zip_derived_cl868, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((X0) = (meet @ X0 @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl834, zip_derived_cl72, zip_derived_cl72,
% 4.06/1.18 zip_derived_cl296])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl1021, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X0 @ (join @ X1 @ X0)) = (join @ X1 @ X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl868, zip_derived_cl878])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl1268, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl2209, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((meet @ (meet @ X1 @ X0) @ X1) = (meet @ X1 @ X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl2133, zip_derived_cl1143, zip_derived_cl296,
% 4.06/1.18 zip_derived_cl1143])).
% 4.06/1.18 thf(zip_derived_cl2247, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)))
% 4.06/1.18 = (meet @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0)) @ X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl2209])).
% 4.06/1.18 thf(zip_derived_cl1268, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X1 @ X0) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl3])).
% 4.06/1.18 thf(zip_derived_cl2260, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ X0 @ (meet @ (join @ X2 @ X0) @ (join @ X1 @ X0))) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl2247, zip_derived_cl1268])).
% 4.06/1.18 thf(zip_derived_cl2899, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ X1 @ (meet @ (join @ X2 @ X1) @ (join @ X1 @ X0))) = (X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl2309, zip_derived_cl2260])).
% 4.06/1.18 thf(zip_derived_cl3, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((meet @ (meet @ (join @ X0 @ X1) @ (join @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_4])).
% 4.06/1.18 thf(zip_derived_cl4, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.06/1.18 ((join @ (join @ (meet @ X0 @ X1) @ (meet @ X2 @ X0)) @ X0) = (X0))),
% 4.06/1.18 inference('cnf', [status(esa)], [wal_absorbtion_5])).
% 4.06/1.18 thf(zip_derived_cl28, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.06/1.18 ((join @
% 4.06/1.18 (join @ X0 @
% 4.06/1.18 (meet @ X3 @ (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))) @
% 4.06/1.18 (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))
% 4.06/1.18 = (meet @ (join @ X0 @ X2) @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 4.06/1.18 thf(zip_derived_cl3684, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ (join @ X1 @ X0) @
% 4.06/1.18 (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))
% 4.06/1.18 = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl2899, zip_derived_cl28])).
% 4.06/1.18 thf(zip_derived_cl2226, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X1 @ (meet @ X1 @ X0)) = (X1))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl2209, zip_derived_cl320])).
% 4.06/1.18 thf(zip_derived_cl3768, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl3684, zip_derived_cl2226])).
% 4.06/1.18 thf(zip_derived_cl878, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ (meet @ X1 @ X0) @ X0) = (X0))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl868])).
% 4.06/1.18 thf(zip_derived_cl1028, plain,
% 4.06/1.18 (![X0 : $i, X2 : $i]: ((X0) = (meet @ (join @ X0 @ X2) @ X0))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl1011, zip_derived_cl878, zip_derived_cl878,
% 4.06/1.18 zip_derived_cl26, zip_derived_cl296, zip_derived_cl878])).
% 4.06/1.18 thf(zip_derived_cl1053, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ (meet @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl878, zip_derived_cl1028])).
% 4.06/1.18 thf(zip_derived_cl3783, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((meet @ (join @ X1 @ X0) @ (join @ X0 @ X1))
% 4.06/1.18 = (meet @ (join @ X0 @ X1) @ (join @ X1 @ X0)))),
% 4.06/1.18 inference('sup+', [status(thm)], [zip_derived_cl3768, zip_derived_cl1053])).
% 4.06/1.18 thf(zip_derived_cl3768, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl3684, zip_derived_cl2226])).
% 4.06/1.18 thf(zip_derived_cl3768, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]:
% 4.06/1.18 ((join @ X1 @ X0) = (meet @ (join @ X1 @ X0) @ (join @ X0 @ X1)))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl3684, zip_derived_cl2226])).
% 4.06/1.18 thf(zip_derived_cl3900, plain,
% 4.06/1.18 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 4.06/1.18 inference('demod', [status(thm)],
% 4.06/1.18 [zip_derived_cl3783, zip_derived_cl3768, zip_derived_cl3768])).
% 4.06/1.18 thf(zip_derived_cl3917, plain, (((join @ a @ b) != (join @ a @ b))),
% 4.06/1.18 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3900])).
% 4.06/1.18 thf(zip_derived_cl3918, plain, ($false),
% 4.06/1.18 inference('simplify', [status(thm)], [zip_derived_cl3917])).
% 4.06/1.18
% 4.06/1.18 % SZS output end Refutation
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 % Terminating...
% 4.63/1.26 % Runner terminated.
% 4.63/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------