TSTP Solution File: GRP083-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP083-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ltzVT7XlCh true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:51 EDT 2023
% Result : Unsatisfiable 80.46s 12.10s
% Output : Refutation 80.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : GRP083-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ltzVT7XlCh true
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 23:52:13 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % Running portfolio for 300 s
% 0.21/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.23/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.30/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.39/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 80.46/12.10 % Solved by fo/fo4.sh.
% 80.46/12.10 % done 2836 iterations in 11.279s
% 80.46/12.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 80.46/12.10 % SZS output start Refutation
% 80.46/12.10 thf(a3_type, type, a3: $i).
% 80.46/12.10 thf(inverse_type, type, inverse: $i > $i).
% 80.46/12.10 thf(a1_type, type, a1: $i).
% 80.46/12.10 thf(multiply_type, type, multiply: $i > $i > $i).
% 80.46/12.10 thf(c3_type, type, c3: $i).
% 80.46/12.10 thf(a2_type, type, a2: $i).
% 80.46/12.10 thf(b2_type, type, b2: $i).
% 80.46/12.10 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 80.46/12.10 thf(b1_type, type, b1: $i).
% 80.46/12.10 thf(b3_type, type, b3: $i).
% 80.46/12.10 thf(single_axiom, axiom,
% 80.46/12.10 (( double_divide @
% 80.46/12.10 ( double_divide @ X @ ( inverse @ ( double_divide @ Y @ Z ) ) ) @
% 80.46/12.10 ( double_divide @
% 80.46/12.10 ( inverse @ Y ) @
% 80.46/12.10 ( inverse @ ( double_divide @ U @ ( double_divide @ X @ U ) ) ) ) ) =
% 80.46/12.10 ( Z ))).
% 80.46/12.10 thf(zip_derived_cl0, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('cnf', [status(esa)], [single_axiom])).
% 80.46/12.10 thf(multiply, axiom,
% 80.46/12.10 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl10, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (inverse @ (double_divide @ X2 @ (multiply @ X0 @ X3))) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl64, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl100, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ (double_divide @ X1 @ X3) @ X3) @
% 80.46/12.10 (inverse @ X2))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X0) @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl165, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X5 @
% 80.46/12.10 (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X0) @ X0)))) @
% 80.46/12.10 (double_divide @ (inverse @ (inverse @ X2)) @
% 80.46/12.10 (multiply @ (double_divide @ X5 @ X4) @ X4)))
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl7, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ X2 @ (double_divide @ X0 @ X1))) @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X3) @ X3)))
% 80.46/12.10 = (X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl267, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X5 @ (multiply @ (double_divide @ X1 @ X0) @ X0)) @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X5 @ X4) @ X4)))
% 80.46/12.10 = (double_divide @ X1 @ (double_divide @ X3 @ X2)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl7])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl7, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ X2 @ (double_divide @ X0 @ X1))) @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X3) @ X3)))
% 80.46/12.10 = (X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl259, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X4 @
% 80.46/12.10 (multiply @ X2 @ (double_divide @ X5 @ (double_divide @ X1 @ X5)))) @
% 80.46/12.10 (double_divide @ (multiply @ (double_divide @ X1 @ X0) @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X3) @ X3)))
% 80.46/12.10 = (X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl7])).
% 80.46/12.10 thf(zip_derived_cl3481, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X2 @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0)))
% 80.46/12.10 = (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X3 @ (double_divide @ X1 @ X3))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl259])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl3568, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X3)) @ X2)
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0)))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3481, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl4237, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ X5 @
% 80.46/12.10 (inverse @
% 80.46/12.10 (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0))))) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X5 @ X4) @ X4)))
% 80.46/12.10 = (double_divide @ X3 @ (double_divide @ X1 @ X3)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3568, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl4396, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 80.46/12.10 = (double_divide @ X3 @ (double_divide @ X1 @ X3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4237, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl4486, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3)
% 80.46/12.10 = (multiply @ (double_divide @ X0 @ (double_divide @ X1 @ X0)) @
% 80.46/12.10 (double_divide @ X1 @ X2)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl4396, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl5338, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ (multiply @ (double_divide @ X1 @ X0) @ X0) @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X6 @ X7) @ X7)) @
% 80.46/12.10 (double_divide @ X6 @
% 80.46/12.10 (inverse @ (double_divide @ X5 @ (double_divide @ X4 @ X5)))))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ (double_divide @ X4 @ X1)) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X2) @ X2))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl4486, zip_derived_cl13])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl12, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)) @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ X2 @ (double_divide @ X0 @ X1))))
% 80.46/12.10 = (inverse @ X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl268, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (inverse @ (double_divide @ X1 @ (double_divide @ X3 @ X2))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl12])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl313, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (multiply @ (double_divide @ X3 @ X2) @ X1))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl64, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 80.46/12.10 thf(zip_derived_cl118, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((inverse @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X2) @ X2))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl64])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl130, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((inverse @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)))
% 80.46/12.10 = (multiply @ (multiply @ (double_divide @ X3 @ X2) @ X2) @
% 80.46/12.10 (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl118, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl5623, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ (double_divide @ X1 @ X0) @ X0)) @
% 80.46/12.10 X4)
% 80.46/12.10 = (multiply @ (multiply @ (double_divide @ X3 @ X2) @ X2) @
% 80.46/12.10 (multiply @ X1 @ X4)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl5338, zip_derived_cl1, zip_derived_cl313,
% 80.46/12.10 zip_derived_cl1, zip_derived_cl130])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl264, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)) @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (inverse @ (double_divide @ X1 @ X2)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl311, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)) @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (multiply @ X2 @ X1))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl303, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @ X0 @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)))
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @ (double_divide @ X3 @ (multiply @ X0 @ X2)) @ X1) @
% 80.46/12.10 X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl532, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X0 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X1) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X3) @ X4) @ X4)) @
% 80.46/12.10 X3)) @
% 80.46/12.10 X2) @
% 80.46/12.10 X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl303])).
% 80.46/12.10 thf(zip_derived_cl9714, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 80.46/12.10 ((multiply @ X5 @ X6)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X6 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X5) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X3) @ X4) @ X4)) @
% 80.46/12.10 X3)) @
% 80.46/12.10 X2) @
% 80.46/12.10 X2) @
% 80.46/12.10 (multiply @ X1 @ (multiply @ (double_divide @ X1 @ X0) @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl5623, zip_derived_cl532])).
% 80.46/12.10 thf(zip_derived_cl532, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X0 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X1) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X3) @ X4) @ X4)) @
% 80.46/12.10 X3)) @
% 80.46/12.10 X2) @
% 80.46/12.10 X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl303])).
% 80.46/12.10 thf(zip_derived_cl9917, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 80.46/12.10 ((multiply @ X5 @ X6)
% 80.46/12.10 = (multiply @ (multiply @ X5 @ X6) @
% 80.46/12.10 (multiply @ X1 @ (multiply @ (double_divide @ X1 @ X0) @ X0))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl9714, zip_derived_cl532])).
% 80.46/12.10 thf(zip_derived_cl10039, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ X0 @ X3)))
% 80.46/12.10 = (multiply @ (inverse @ X0) @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl9917])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl10092, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((inverse @ X0)
% 80.46/12.10 = (multiply @ (inverse @ X0) @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10039, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl303, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @ X0 @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)))
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @ (double_divide @ X3 @ (multiply @ X0 @ X2)) @ X1) @
% 80.46/12.10 X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl12, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)) @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ X2 @ (double_divide @ X0 @ X1))))
% 80.46/12.10 = (inverse @ X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl528, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X5 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ X4 @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X1) @ X2) @ X2)) @
% 80.46/12.10 X1)) @
% 80.46/12.10 X0) @
% 80.46/12.10 X0) = (inverse @ (double_divide @ X5 @ (double_divide @ X3 @ X4))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl12])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl581, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X5 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ X4 @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X1) @ X2) @ X2)) @
% 80.46/12.10 X1)) @
% 80.46/12.10 X0) @
% 80.46/12.10 X0) = (multiply @ (double_divide @ X3 @ X4) @ X5))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl10153, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X1 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X5) @ X6) @ X6)) @
% 80.46/12.10 X5)) @
% 80.46/12.10 X4) @
% 80.46/12.10 X4)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X0)) @
% 80.46/12.10 X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl10092, zip_derived_cl581])).
% 80.46/12.10 thf(zip_derived_cl532, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ X0 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X1) @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X3) @ X4) @ X4)) @
% 80.46/12.10 X3)) @
% 80.46/12.10 X2) @
% 80.46/12.10 X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl303])).
% 80.46/12.10 thf(zip_derived_cl10260, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ X0 @ X1)
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X0)) @
% 80.46/12.10 X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl10153, zip_derived_cl532])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl10866, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X5 @ (multiply @ X1 @ X0)) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @
% 80.46/12.10 (multiply @ (double_divide @ X5 @ X4) @ X4)))
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl10260, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl11092, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10866, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl12551, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X4 @ (multiply @ (double_divide @ X4 @ X3) @ X3)) @
% 80.46/12.10 (multiply @ X1 @ X5)) @
% 80.46/12.10 (double_divide @ (inverse @ X5) @ (multiply @ X0 @ (inverse @ X0))))
% 80.46/12.10 = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11147, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl11092, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10866, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl11260, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl12801, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X5 @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X5) @ (multiply @ X0 @ (inverse @ X0))))
% 80.46/12.10 = (X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl12551, zip_derived_cl11260])).
% 80.46/12.10 thf(zip_derived_cl4396, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 80.46/12.10 = (double_divide @ X3 @ (double_divide @ X1 @ X3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4237, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl4396, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 80.46/12.10 = (double_divide @ X3 @ (double_divide @ X1 @ X3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4237, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl4488, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3))
% 80.46/12.10 = (double_divide @ (double_divide @ X1 @ X2) @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl4396, zip_derived_cl4396])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl11260, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl12425, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X3) @ X3)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X5 @ (multiply @ (double_divide @ X5 @ X4) @ X4)) @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 X0) @
% 80.46/12.10 X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl11147, zip_derived_cl11260])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl11260, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl12742, plain,
% 80.46/12.10 (![X0 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X3) @ X3)
% 80.46/12.10 = (double_divide @ (inverse @ X0) @ X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl12425, zip_derived_cl11147, zip_derived_cl11260])).
% 80.46/12.10 thf(zip_derived_cl12801, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X5 @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X5) @ (multiply @ X0 @ (inverse @ X0))))
% 80.46/12.10 = (X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl12551, zip_derived_cl11260])).
% 80.46/12.10 thf(zip_derived_cl16974, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12742, zip_derived_cl12801])).
% 80.46/12.10 thf(zip_derived_cl3, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X1 @ (multiply @ X0 @ X2)) @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X3) @ X3)))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl17224, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ X2 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X0) @ X0))
% 80.46/12.10 = (X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl16974, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl11092, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10866, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl17369, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @ (multiply @ X0 @ (inverse @ X0)) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17224, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl4488, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3))
% 80.46/12.10 = (double_divide @ (double_divide @ X1 @ X2) @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl4396, zip_derived_cl4396])).
% 80.46/12.10 thf(zip_derived_cl18793, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3))
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X2) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl4488])).
% 80.46/12.10 thf(zip_derived_cl16974, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12742, zip_derived_cl12801])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl19282, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((X2) = (double_divide @ (double_divide @ X1 @ X2) @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4488, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl19316, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X1) @ (multiply @ X2 @ (inverse @ X2)))
% 80.46/12.10 = (double_divide @ X0 @ (double_divide @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12801, zip_derived_cl19282])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl19323, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X1) @ (multiply @ X2 @ (inverse @ X2)))
% 80.46/12.10 = (X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl19316, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl17369, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @ (multiply @ X0 @ (inverse @ X0)) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17224, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl3568, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X3)) @ X2)
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0)))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3481, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl202, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ X0)
% 80.46/12.10 = (multiply @ (double_divide @ X1 @ X3) @ X3))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl165, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl4279, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3)
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (double_divide @ X1 @ X2) @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0)))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3568, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl18789, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3)
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X2) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl4279])).
% 80.46/12.10 thf(zip_derived_cl16974, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12742, zip_derived_cl12801])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl17369, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @ (multiply @ X0 @ (inverse @ X0)) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17224, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl17224, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ X2 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X0) @ X0))
% 80.46/12.10 = (X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl16974, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl18851, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl17224])).
% 80.46/12.10 thf(zip_derived_cl19227, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ X0)
% 80.46/12.10 = (double_divide @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl18921, zip_derived_cl18851])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl17369, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @ (multiply @ X0 @ (inverse @ X0)) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17224, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl4396, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 80.46/12.10 = (double_divide @ X3 @ (double_divide @ X1 @ X3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4237, zip_derived_cl1, zip_derived_cl3])).
% 80.46/12.10 thf(zip_derived_cl3568, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X3)) @ X2)
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X1 @ X0)))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3481, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl4554, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 80.46/12.10 (double_divide @ X2 @ X1))
% 80.46/12.10 = (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl4396, zip_derived_cl3568])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl19283, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ X2 @ (double_divide @ X2 @ X1)) = (inverse @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4554, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl19512, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)
% 80.46/12.10 = (inverse @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl19283])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl20292, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl19512, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl20403, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20292])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl18851, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl17224])).
% 80.46/12.10 thf(zip_derived_cl20318, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl18851])).
% 80.46/12.10 thf(zip_derived_cl20695, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20403, zip_derived_cl20318])).
% 80.46/12.10 thf(prove_these_axioms, conjecture,
% 80.46/12.10 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 80.46/12.10 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 80.46/12.10 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 80.46/12.10 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 80.46/12.10 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 80.46/12.10 thf(zf_stmt_0, negated_conjecture,
% 80.46/12.10 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 80.46/12.10 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 80.46/12.10 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 80.46/12.10 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 80.46/12.10 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 80.46/12.10 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 80.46/12.10 thf(zip_derived_cl2, plain,
% 80.46/12.10 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 80.46/12.10 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 80.46/12.10 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 80.46/12.10 thf(zip_derived_cl20403, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20292])).
% 80.46/12.10 thf(zip_derived_cl20667, plain,
% 80.46/12.10 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 80.46/12.10 | ((a2) != (a2))
% 80.46/12.10 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl20403])).
% 80.46/12.10 thf(zip_derived_cl20668, plain,
% 80.46/12.10 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 80.46/12.10 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 80.46/12.10 inference('simplify', [status(thm)], [zip_derived_cl20667])).
% 80.46/12.10 thf(zip_derived_cl21017, plain,
% 80.46/12.10 (![X0 : $i]:
% 80.46/12.10 (((multiply @ (inverse @ X0) @ X0) != (multiply @ (inverse @ b1) @ b1))
% 80.46/12.10 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 80.46/12.10 inference('sup-', [status(thm)],
% 80.46/12.10 [zip_derived_cl20695, zip_derived_cl20668])).
% 80.46/12.10 thf(zip_derived_cl20695, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20403, zip_derived_cl20318])).
% 80.46/12.10 thf(zip_derived_cl21072, plain,
% 80.46/12.10 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 80.46/12.10 inference('simplify_reflect+', [status(thm)],
% 80.46/12.10 [zip_derived_cl21017, zip_derived_cl20695])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl12631, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl11147, zip_derived_cl11147])).
% 80.46/12.10 thf(zip_derived_cl20312, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl12631])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl54, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 80.46/12.10 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X4) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X8) @ X8)) @
% 80.46/12.10 X7) @
% 80.46/12.10 X6) @
% 80.46/12.10 (multiply @ (double_divide @ X9 @ X10) @ X10)) @
% 80.46/12.10 (double_divide @ X9 @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X4) @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X2) @ X2)) @
% 80.46/12.10 (double_divide @ X1 @ (inverse @ X0)))))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X7) @
% 80.46/12.10 (multiply @ (double_divide @ X6 @ X5) @ X5))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl86, plain,
% 80.46/12.10 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 80.46/12.10 X9 : $i, X10 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X4) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X8) @ X8)) @
% 80.46/12.10 X7) @
% 80.46/12.10 X6) @
% 80.46/12.10 (multiply @ (double_divide @ X9 @ X10) @ X10)) @
% 80.46/12.10 (double_divide @ X9 @
% 80.46/12.10 (multiply @ (multiply @ (double_divide @ X3 @ X1) @ X1) @
% 80.46/12.10 (inverse @ X4))))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X7) @
% 80.46/12.10 (multiply @ (double_divide @ X6 @ X5) @ X5))))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl54, zip_derived_cl13, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20822, plain,
% 80.46/12.10 (![X3 : $i, X4 : $i, X6 : $i, X7 : $i, X9 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @
% 80.46/12.10 (multiply @ (double_divide @ (inverse @ X4) @ (inverse @ X3)) @ X7) @
% 80.46/12.10 X6) @
% 80.46/12.10 (inverse @ X9)) @
% 80.46/12.10 (double_divide @ X9 @ (multiply @ (inverse @ X3) @ (inverse @ X4))))
% 80.46/12.10 = (multiply @ (inverse @ X6) @ (inverse @ X7)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl86, zip_derived_cl18921, zip_derived_cl18921,
% 80.46/12.10 zip_derived_cl18921, zip_derived_cl18921, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl20843, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @ (inverse @ (inverse @ X3))) @
% 80.46/12.10 X1) @
% 80.46/12.10 X2) @
% 80.46/12.10 (inverse @ X4)) @
% 80.46/12.10 (double_divide @ X4 @ (multiply @ X0 @ (inverse @ X0))))
% 80.46/12.10 = (multiply @ (inverse @ X2) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20312, zip_derived_cl20822])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl18851, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl17224])).
% 80.46/12.10 thf(zip_derived_cl11260, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ X1)
% 80.46/12.10 = (double_divide @
% 80.46/12.10 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @
% 80.46/12.10 (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl11147, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X3) @
% 80.46/12.10 X3) = (multiply @ X0 @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl11092, zip_derived_cl202])).
% 80.46/12.10 thf(zip_derived_cl12643, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ X0) @ (multiply @ X0 @ X1))
% 80.46/12.10 = (multiply @ X2 @ (inverse @ X2)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl11260, zip_derived_cl11147])).
% 80.46/12.10 thf(zip_derived_cl19087, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X0) @ X0)
% 80.46/12.10 = (multiply @ X1 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl18851, zip_derived_cl12643])).
% 80.46/12.10 thf(zip_derived_cl20292, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl19512, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl20395, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19087, zip_derived_cl20292])).
% 80.46/12.10 thf(zip_derived_cl19087, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X0) @ X0)
% 80.46/12.10 = (multiply @ X1 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl18851, zip_derived_cl12643])).
% 80.46/12.10 thf(zip_derived_cl17369, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((X1)
% 80.46/12.10 = (double_divide @ (multiply @ X0 @ (inverse @ X0)) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17224, zip_derived_cl11092])).
% 80.46/12.10 thf(zip_derived_cl16974, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12742, zip_derived_cl12801])).
% 80.46/12.10 thf(zip_derived_cl18852, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X1))
% 80.46/12.10 = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl17369, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl20342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl20927, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ X2 @ X1)
% 80.46/12.10 = (multiply @ (inverse @ X2) @ (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl20843, zip_derived_cl20237,
% 80.46/12.10 zip_derived_cl20395, zip_derived_cl19087,
% 80.46/12.10 zip_derived_cl18852, zip_derived_cl18921, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl21413, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X0 @ X1) @ (inverse @ X2))
% 80.46/12.10 = (multiply @ (multiply @ X1 @ X0) @ X2))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21368])).
% 80.46/12.10 thf(zip_derived_cl24072, plain,
% 80.46/12.10 (((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 80.46/12.10 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl21072, zip_derived_cl21413])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl20927, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ X2 @ X1)
% 80.46/12.10 = (multiply @ (inverse @ X2) @ (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl20843, zip_derived_cl20237,
% 80.46/12.10 zip_derived_cl20395, zip_derived_cl19087,
% 80.46/12.10 zip_derived_cl18852, zip_derived_cl18921, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl21375, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X0) @ X1)
% 80.46/12.10 = (multiply @ X0 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl21469, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X2) @ (double_divide @ X0 @ X1))
% 80.46/12.10 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21375])).
% 80.46/12.10 thf(zip_derived_cl24374, plain,
% 80.46/12.10 (((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 80.46/12.10 != (double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl24072, zip_derived_cl21469])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl311, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X4) @ X4)) @
% 80.46/12.10 (double_divide @ X3 @ (multiply @ (double_divide @ X1 @ X0) @ X0)))
% 80.46/12.10 = (multiply @ X2 @ X1))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl448, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 80.46/12.10 X7 : $i, X8 : $i, X9 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X4) @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X2) @ X2)) @
% 80.46/12.10 (double_divide @ X1 @ (inverse @ X0))) @
% 80.46/12.10 (multiply @ (double_divide @ X8 @ X9) @ X9)) @
% 80.46/12.10 (double_divide @ X8 @ (multiply @ (double_divide @ X5 @ X7) @ X7)))
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X4) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X6) @ X6)) @
% 80.46/12.10 X5))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl311])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl451, plain,
% 80.46/12.10 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (multiply @ (multiply @ (double_divide @ X3 @ X1) @ X1) @
% 80.46/12.10 (inverse @ X4)) @
% 80.46/12.10 (multiply @ (double_divide @ X8 @ X9) @ X9)) @
% 80.46/12.10 (double_divide @ X8 @ (multiply @ (double_divide @ X5 @ X7) @ X7)))
% 80.46/12.10 = (multiply @
% 80.46/12.10 (double_divide @ (inverse @ X4) @
% 80.46/12.10 (multiply @ (double_divide @ X3 @ X6) @ X6)) @
% 80.46/12.10 X5))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl448, zip_derived_cl13, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18922, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18793, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl16974, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @
% 80.46/12.10 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ X1) @
% 80.46/12.10 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl12742, zip_derived_cl12801])).
% 80.46/12.10 thf(zip_derived_cl19293, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X0))
% 80.46/12.10 = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl18922, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl19323, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X1) @ (multiply @ X2 @ (inverse @ X2)))
% 80.46/12.10 = (X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl19316, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl20266, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (multiply @ X2 @ (inverse @ X2)))
% 80.46/12.10 = (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19293, zip_derived_cl19323])).
% 80.46/12.10 thf(zip_derived_cl19227, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ X0)
% 80.46/12.10 = (double_divide @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl18921, zip_derived_cl18851])).
% 80.46/12.10 thf(zip_derived_cl20279, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ X0)
% 80.46/12.10 = (double_divide @ (multiply @ X1 @ (inverse @ X1)) @ X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl20266, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl21375, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ (inverse @ X0) @ X1)
% 80.46/12.10 = (multiply @ X0 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl21890, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ X0)
% 80.46/12.10 = (double_divide @ (double_divide @ (inverse @ X1) @ X1) @ X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl20279, zip_derived_cl21375])).
% 80.46/12.10 thf(zip_derived_cl13, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X0 @ X3) @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X5) @ X5)) @
% 80.46/12.10 (double_divide @ X4 @ (inverse @ X0)))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl5, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (inverse @ X3) @
% 80.46/12.10 (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 80.46/12.10 (double_divide @ X2 @ (multiply @ X0 @ X3))) = (inverse @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl60, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @
% 80.46/12.10 (inverse @ (double_divide @ X4 @ (inverse @ X5))) @
% 80.46/12.10 (multiply @ (double_divide @ X6 @ X7) @ X7)) @
% 80.46/12.10 (double_divide @ X6 @
% 80.46/12.10 (inverse @
% 80.46/12.10 (double_divide @ (inverse @ X2) @
% 80.46/12.10 (multiply @ (double_divide @ X1 @ X0) @ X0)))))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X5 @ X2) @ X1) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X3) @ X3))))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl5])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl90, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (multiply @ (inverse @ X5) @ X4) @
% 80.46/12.10 (multiply @ (double_divide @ X6 @ X7) @ X7)) @
% 80.46/12.10 (double_divide @ X6 @
% 80.46/12.10 (multiply @ (multiply @ (double_divide @ X1 @ X0) @ X0) @
% 80.46/12.10 (inverse @ X2))))
% 80.46/12.10 = (inverse @
% 80.46/12.10 (double_divide @ (multiply @ (multiply @ X5 @ X2) @ X1) @
% 80.46/12.10 (multiply @ (double_divide @ X4 @ X3) @ X3))))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl60, zip_derived_cl1, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl20342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl21948, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 80.46/12.10 ((multiply @
% 80.46/12.10 (double_divide @ (double_divide @ X5 @ (inverse @ X4)) @
% 80.46/12.10 (inverse @ X6)) @
% 80.46/12.10 (double_divide @ X6 @ (double_divide @ X1 @ X2)))
% 80.46/12.10 = (double_divide @ X4 @ (double_divide @ X1 @ (multiply @ X5 @ X2))))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl90, zip_derived_cl21368, zip_derived_cl18921,
% 80.46/12.10 zip_derived_cl18921, zip_derived_cl21368,
% 80.46/12.10 zip_derived_cl20237, zip_derived_cl18921, zip_derived_cl1,
% 80.46/12.10 zip_derived_cl21368, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl21982, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ (inverse @ X0)) @
% 80.46/12.10 (double_divide @ X0 @ (double_divide @ X3 @ X1)))
% 80.46/12.10 = (double_divide @ X2 @
% 80.46/12.10 (double_divide @ X3 @
% 80.46/12.10 (multiply @ (inverse @ (inverse @ X2)) @ X1))))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl21890, zip_derived_cl21948])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl19283, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ X2 @ (double_divide @ X2 @ X1)) = (inverse @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4554, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl22021, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X3)
% 80.46/12.10 = (double_divide @ X2 @ (double_divide @ X3 @ (multiply @ X2 @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl21982, zip_derived_cl20237,
% 80.46/12.10 zip_derived_cl19283, zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl19282, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((X2) = (double_divide @ (double_divide @ X1 @ X2) @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4488, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl25483, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ X0 @ (multiply @ X2 @ X1))
% 80.46/12.10 = (double_divide @ (multiply @ X1 @ X0) @ X2))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl22021, zip_derived_cl19282])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl20342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl21388, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (double_divide @ X1 @ (inverse @ X0)))
% 80.46/12.10 = (double_divide @ X0 @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl21368, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl25609, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((inverse @ (double_divide @ X2 @ (multiply @ (inverse @ X1) @ X0)))
% 80.46/12.10 = (double_divide @ X1 @ (inverse @ (multiply @ X0 @ X2))))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl25483, zip_derived_cl21388])).
% 80.46/12.10 thf(zip_derived_cl21368, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((double_divide @ X1 @ (inverse @ X0))
% 80.46/12.10 = (multiply @ (inverse @ X1) @ X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20237, zip_derived_cl20927])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl20342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl25692, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X1 @ (inverse @ X0)) @ X2)
% 80.46/12.10 = (double_divide @ X1 @ (double_divide @ X2 @ X0)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl25609, zip_derived_cl21368, zip_derived_cl1,
% 80.46/12.10 zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl19282, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((X2) = (double_divide @ (double_divide @ X1 @ X2) @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4488, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl18921, plain,
% 80.46/12.10 (![X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ (double_divide @ X2 @ X3) @ X3) = (inverse @ X2))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl18789, zip_derived_cl16974])).
% 80.46/12.10 thf(zip_derived_cl20927, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((double_divide @ X2 @ X1)
% 80.46/12.10 = (multiply @ (inverse @ X2) @ (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl20843, zip_derived_cl20237,
% 80.46/12.10 zip_derived_cl20395, zip_derived_cl19087,
% 80.46/12.10 zip_derived_cl18852, zip_derived_cl18921, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl20342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 80.46/12.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl21342, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((inverse @ (double_divide @ X1 @ X0))
% 80.46/12.10 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl20927, zip_derived_cl20342])).
% 80.46/12.10 thf(zip_derived_cl1, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 80.46/12.10 inference('cnf', [status(esa)], [multiply])).
% 80.46/12.10 thf(zip_derived_cl21383, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X0 @ X1)
% 80.46/12.10 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl21342, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl21383, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ X0 @ X1)
% 80.46/12.10 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 80.46/12.10 inference('demod', [status(thm)], [zip_derived_cl21342, zip_derived_cl1])).
% 80.46/12.10 thf(zip_derived_cl19283, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ X2 @ (double_divide @ X2 @ X1)) = (inverse @ X1))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl4554, zip_derived_cl18922, zip_derived_cl18922])).
% 80.46/12.10 thf(zip_derived_cl21630, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))
% 80.46/12.10 = (inverse @ (inverse @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl21383, zip_derived_cl19283])).
% 80.46/12.10 thf(zip_derived_cl20237, plain,
% 80.46/12.10 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl19323, zip_derived_cl19227])).
% 80.46/12.10 thf(zip_derived_cl21666, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i]:
% 80.46/12.10 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl21630, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl22021, plain,
% 80.46/12.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 80.46/12.10 ((multiply @ X1 @ X3)
% 80.46/12.10 = (double_divide @ X2 @ (double_divide @ X3 @ (multiply @ X2 @ X1))))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl21982, zip_derived_cl20237,
% 80.46/12.10 zip_derived_cl19283, zip_derived_cl1, zip_derived_cl20237])).
% 80.46/12.10 thf(zip_derived_cl25540, plain,
% 80.46/12.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.46/12.10 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 80.46/12.10 = (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))),
% 80.46/12.10 inference('sup+', [status(thm)],
% 80.46/12.10 [zip_derived_cl21666, zip_derived_cl22021])).
% 80.46/12.10 thf(zip_derived_cl39194, plain,
% 80.46/12.10 (![X3 : $i, X4 : $i, X5 : $i]:
% 80.46/12.10 ((double_divide @ (double_divide @ X3 @ X4) @ (inverse @ X5))
% 80.46/12.10 = (double_divide @ (inverse @ X4) @ (double_divide @ X5 @ X3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl451, zip_derived_cl18921, zip_derived_cl21368,
% 80.46/12.10 zip_derived_cl20237, zip_derived_cl18921,
% 80.46/12.10 zip_derived_cl18921, zip_derived_cl25692,
% 80.46/12.10 zip_derived_cl19282, zip_derived_cl18921,
% 80.46/12.10 zip_derived_cl21383, zip_derived_cl25540])).
% 80.46/12.10 thf(zip_derived_cl39196, plain,
% 80.46/12.10 (((double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3))
% 80.46/12.10 != (double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3)))),
% 80.46/12.10 inference('demod', [status(thm)],
% 80.46/12.10 [zip_derived_cl24374, zip_derived_cl39194])).
% 80.46/12.10 thf(zip_derived_cl39197, plain, ($false),
% 80.46/12.10 inference('simplify', [status(thm)], [zip_derived_cl39196])).
% 80.46/12.10
% 80.46/12.10 % SZS output end Refutation
% 80.46/12.10
% 80.46/12.10
% 80.46/12.10 % Terminating...
% 80.79/12.21 % Runner terminated.
% 80.79/12.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------