%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT083-1 : 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.eBxWV82BS7 true
% Computer : n004.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 35.68s 5.65s
% Output : Refutation 35.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT083-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eBxWV82BS7 true
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:43:08 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.42/0.56 % Total configuration time : 435
% 0.42/0.56 % Estimated wc time : 1092
% 0.42/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 35.68/5.65 % Solved by fo/fo7.sh.
% 35.68/5.65 % done 80 iterations in 4.905s
% 35.68/5.65 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.68/5.65 % SZS output start Refutation
% 35.68/5.65 thf(a_type, type, a: $i).
% 35.68/5.65 thf(meet_type, type, meet: $i > $i > $i).
% 35.68/5.65 thf(join_type, type, join: $i > $i > $i).
% 35.68/5.65 thf(prove_normal_axioms_4, conjecture, (( join @ a @ a ) = ( a ))).
% 35.68/5.65 thf(zf_stmt_0, negated_conjecture, (( join @ a @ a ) != ( a )),
% 35.68/5.65 inference('cnf.neg', [status(esa)], [prove_normal_axioms_4])).
% 35.68/5.65 thf(zip_derived_cl1, plain, (((join @ a @ a) != (a))),
% 35.68/5.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.68/5.65 thf(single_axiom, axiom,
% 35.68/5.65 (( join @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( join @
% 35.68/5.65 ( meet @
% 35.68/5.65 A @ ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( join @
% 35.68/5.65 ( meet @
% 35.68/5.65 B @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( meet @ ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @
% 35.68/5.65 B ) ) @
% 35.68/5.65 ( meet @
% 35.68/5.65 G @
% 35.68/5.65 ( join @
% 35.68/5.65 B @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( meet @
% 35.68/5.65 ( join @ D @ ( join @ B @ E ) ) @ ( join @ F @ B ) ) @
% 35.68/5.65 B ) ) ) ) @
% 35.68/5.65 ( join @
% 35.68/5.65 A @
% 35.68/5.65 ( join @ ( join @ ( meet @ D @ B ) @ ( meet @ B @ E ) ) @ B ) ) ) ) @
% 35.68/5.65 ( join @
% 35.68/5.65 ( join @ ( meet @ A @ B ) @ ( meet @ B @ ( join @ A @ B ) ) ) @ C ) ) ) =
% 35.68/5.65 ( B ))).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl12, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 35.68/5.65 X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X4)) @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X4)) @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 35.68/5.65 X2)))
% 35.68/5.65 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 35.68/5.65 thf(zip_derived_cl80, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 35.68/5.65 X7 : $i, X8 : $i, X9 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X7 @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 35.68/5.65 (join @ X7 @ X0))) @
% 35.68/5.65 X6)))
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
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% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
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% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl130, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 35.68/5.65 X7 : $i, X8 : $i, X9 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X7 @
% 35.68/5.65 (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @ X7 @
% 35.68/5.65 (join @ (join @ (meet @ X9 @ X0) @ (meet @ X0 @ X8)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X7 @ X0) @ (meet @ X0 @ (join @ X7 @ X0))) @ X6)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl80, zip_derived_cl0, zip_derived_cl0,
% 35.68/5.65 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 35.68/5.65 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 35.68/5.65 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 35.68/5.65 zip_derived_cl0])).
% 35.68/5.65 thf(zip_derived_cl267, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl12, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 35.68/5.65 X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X4)) @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X4)) @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))))) @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0)))))) @
% 35.68/5.65 X2)))
% 35.68/5.65 = (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 35.68/5.65 thf(zip_derived_cl413, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (meet @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0)))))) @
% 35.68/5.65 X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
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% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @
% 35.68/5.65 (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
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% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @
% 35.68/5.65 (meet @ X0 @ (join @ X1 @ X0))) @
% 35.68/5.65 X0))) @
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% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl267, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl936, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 35.68/5.65 X7 : $i, X8 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 35.68/5.65 X6) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @
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% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 X7)) @
% 35.68/5.65 (join @
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% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
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% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
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% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
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% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
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% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @
% 35.68/5.65 (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 X7)) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 35.68/5.65 (join @ X0 @ X6)))
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl547])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl0, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X4)) @ (join @ X5 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X1 @
% 35.68/5.65 (join @ (join @ (meet @ X3 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('cnf', [status(esa)], [single_axiom])).
% 35.68/5.65 thf(zip_derived_cl267, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl267, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl449, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 35.68/5.65 X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl267, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X2 @ X0) @ (meet @ X0 @ (join @ X2 @ X0))) @ X0))) @
% 35.68/5.65 X1)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 35.68/5.65 thf(zip_derived_cl483, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl982, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)) @
% 35.68/5.65 (meet @ X5 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X2 @ (join @ X0 @ X1)) @ (join @ X4 @ X0)) @
% 35.68/5.65 X0)))) @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl936, zip_derived_cl0, zip_derived_cl0,
% 35.68/5.65 zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl483, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl2146, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 35.68/5.65 (meet @ X4 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 35.68/5.65 X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl2146, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 35.68/5.65 (meet @ X4 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 35.68/5.65 X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl940, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))))) @
% 35.68/5.65 X4) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 X5)) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X6 @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0))))) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))) @
% 35.68/5.65 X5)) @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))))) @
% 35.68/5.65 (join @ X0 @ X4)))
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl547])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl547, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X5 @ X0) @ (meet @ X0 @ X4)) @ X0)))) @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl413, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267, zip_derived_cl267, zip_derived_cl267,
% 35.68/5.65 zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl483, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl986, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547,
% 35.68/5.65 zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl1090, plain,
% 35.68/5.65 (![X0 : $i, X2 : $i, X3 : $i]:
% 35.68/5.65 ((join @
% 35.68/5.65 (meet @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X3 @ X0) @ (meet @ X0 @ (join @ X3 @ X0))) @ X2)))
% 35.68/5.65 = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl547, zip_derived_cl986])).
% 35.68/5.65 thf(zip_derived_cl2354, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X1 @ X0) @ (meet @ X0 @ (join @ X1 @ X0))) = (X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl2146, zip_derived_cl1090])).
% 35.68/5.65 thf(zip_derived_cl2146, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0)) @
% 35.68/5.65 (meet @ X4 @
% 35.68/5.65 (join @ X0 @
% 35.68/5.65 (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @
% 35.68/5.65 X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl2532, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 35.68/5.65 thf(zip_derived_cl2532, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (meet @
% 35.68/5.65 (meet @ (join @ X3 @ (join @ X0 @ X2)) @ (join @ X1 @ X0)) @ X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl2354, zip_derived_cl2146])).
% 35.68/5.65 thf(zip_derived_cl2560, plain,
% 35.68/5.65 (![X0 : $i, X4 : $i]:
% 35.68/5.65 ((X0) = (join @ (meet @ X0 @ X0) @ (meet @ X4 @ (join @ X0 @ X0))))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl2146, zip_derived_cl2532, zip_derived_cl2532])).
% 35.68/5.65 thf(zip_derived_cl483, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl986, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)) @
% 35.68/5.65 (meet @ X0 @
% 35.68/5.65 (join @ X3 @
% 35.68/5.65 (join @ (join @ (meet @ X2 @ X0) @ (meet @ X0 @ X1)) @ X0)))))),
% 35.68/5.65 inference('demod', [status(thm)],
% 35.68/5.65 [zip_derived_cl940, zip_derived_cl547, zip_derived_cl547,
% 35.68/5.65 zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl1126, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @
% 35.68/5.65 (meet @ X1 @
% 35.68/5.65 (join @
% 35.68/5.65 (join @ (meet @ X0 @ X0) @ (meet @ X0 @ (join @ X0 @ X0))) @ X0)) @
% 35.68/5.65 (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl986])).
% 35.68/5.65 thf(zip_derived_cl483, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((join @ (meet @ X0 @ X1) @ (meet @ X0 @ (join @ X0 @ X1))) = (X0))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl267])).
% 35.68/5.65 thf(zip_derived_cl1136, plain,
% 35.68/5.65 (![X0 : $i, X1 : $i]:
% 35.68/5.65 ((X0)
% 35.68/5.65 = (join @ (meet @ X1 @ (join @ X0 @ X0)) @
% 35.68/5.65 (meet @ X0 @ (join @ X1 @ (join @ X0 @ X0)))))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl483])).
% 35.68/5.65 thf(zip_derived_cl2658, plain, (![X0 : $i]: ((X0) = (join @ X0 @ X0))),
% 35.68/5.65 inference('sup+', [status(thm)], [zip_derived_cl2560, zip_derived_cl1136])).
% 35.68/5.65 thf(zip_derived_cl2673, plain, (((a) != (a))),
% 35.68/5.65 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2658])).
% 35.68/5.65 thf(zip_derived_cl2674, plain, ($false),
% 35.68/5.65 inference('simplify', [status(thm)], [zip_derived_cl2673])).
% 35.68/5.65
% 35.68/5.65 % SZS output end Refutation
% 35.68/5.65
% 35.68/5.65
% 35.68/5.65 % Terminating...
% 35.68/5.70 % Runner terminated.
% 35.68/5.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------