%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP413-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.roEUQINNpv true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:24 PM UTC 2025
% Result : Unsatisfiable 84.59s 12.80s
% Output : Refutation 84.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP413-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.roEUQINNpv true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:11:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 84.59/12.80 % Solved by fo/fo7.sh.
% 84.59/12.80 % done 1928 iterations in 11.993s
% 84.59/12.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 84.59/12.80 % SZS output start Refutation
% 84.59/12.80 thf(inverse_type, type, inverse: $i > $i).
% 84.59/12.80 thf(a2_type, type, a2: $i).
% 84.59/12.80 thf(multiply_type, type, multiply: $i > $i > $i).
% 84.59/12.80 thf(b2_type, type, b2: $i).
% 84.59/12.80 thf(single_axiom, axiom,
% 84.59/12.80 (( multiply @
% 84.59/12.80 A @
% 84.59/12.80 ( inverse @
% 84.59/12.80 ( multiply @
% 84.59/12.80 ( multiply @
% 84.59/12.80 ( multiply @ ( inverse @ B ) @ B ) @
% 84.59/12.80 ( inverse @
% 84.59/12.80 ( multiply @
% 84.59/12.80 ( inverse @ ( multiply @ A @ ( inverse @ B ) ) ) @ C ) ) ) @
% 84.59/12.80 B ) ) ) =
% 84.59/12.80 ( C ))).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl3, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ X3 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1)))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl13, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ X2 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (inverse @ X1)) @
% 84.59/12.80 X0))))
% 84.59/12.80 = (X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 84.59/12.80 thf(zip_derived_cl35, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl3, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ X3 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1)))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 84.59/12.80 thf(zip_derived_cl0, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ X1 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.80 X2)))
% 84.59/12.80 = (X0))),
% 84.59/12.80 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.80 thf(zip_derived_cl35, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl13, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ X2 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (inverse @ X1)) @
% 84.59/12.80 X0))))
% 84.59/12.80 = (X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 84.59/12.80 thf(zip_derived_cl57, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 84.59/12.80 X0) = (X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl35, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl35, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl52, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X0))))
% 84.59/12.80 = (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0)))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl35])).
% 84.59/12.80 thf(zip_derived_cl196, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 84.59/12.80 (multiply @ X4 @ (inverse @ X0)))
% 84.59/12.80 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 84.59/12.80 (multiply @ X3 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @ X1))) @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.80 (inverse @ X0))))) @
% 84.59/12.80 X1)))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl52])).
% 84.59/12.80 thf(zip_derived_cl57, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.80 ((multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 84.59/12.80 X0) = (X1))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 84.59/12.80 thf(zip_derived_cl234, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 84.59/12.80 (multiply @ X4 @ (inverse @ X0)))
% 84.59/12.80 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 84.59/12.80 (multiply @ X3 @ (inverse @ X0))))),
% 84.59/12.80 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl57])).
% 84.59/12.80 thf(zip_derived_cl284, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ X0) @ (multiply @ X4 @ (inverse @ X1)))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ X2 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X3)))) @
% 84.59/12.80 (multiply @ X2 @ (inverse @ X1))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl234])).
% 84.59/12.80 thf(zip_derived_cl457, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.80 ((multiply @ (inverse @ X1) @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.80 (inverse @ X3)))
% 84.59/12.80 = (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ X4 @
% 84.59/12.80 (multiply @ X2 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.80 (inverse @ X1)) @
% 84.59/12.80 X0))))) @
% 84.59/12.80 (multiply @ X4 @ (inverse @ X3))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl284])).
% 84.59/12.80 thf(zip_derived_cl657, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.80 ((multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @ X0)) @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 84.59/12.80 (inverse @ X1)))
% 84.59/12.80 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 84.59/12.80 (multiply @ X2 @ (inverse @ X1))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl457])).
% 84.59/12.80 thf(zip_derived_cl752, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.80 ((multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @ X5)) @
% 84.59/12.80 X0)
% 84.59/12.80 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 84.59/12.80 (multiply @ X4 @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @
% 84.59/12.80 (multiply @
% 84.59/12.80 (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.80 (inverse @ X1))) @
% 84.59/12.80 X0))) @
% 84.59/12.80 X1)))))),
% 84.59/12.80 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl657])).
% 84.59/12.80 thf(zip_derived_cl3, plain,
% 84.59/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.80 ((multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (inverse @ X1))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X1)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl804, plain,
% 84.59/12.81 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @ X5)) @
% 84.59/12.81 X0)
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 84.59/12.81 (multiply @ X4 @
% 84.59/12.81 (multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 84.59/12.81 X2))))))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl3])).
% 84.59/12.81 thf(zip_derived_cl1086, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 84.59/12.81 thf(zip_derived_cl3, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (inverse @ X1))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X1)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl1222, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @ X0))) @
% 84.59/12.81 X3)))
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ X0)))) @
% 84.59/12.81 X2)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl3])).
% 84.59/12.81 thf(zip_derived_cl0, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ X1 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (X0))),
% 84.59/12.81 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.81 thf(zip_derived_cl1344, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X0)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ X0)))) @
% 84.59/12.81 X2)))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl1222, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl1561, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 84.59/12.81 thf(zip_derived_cl284, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X0) @ (multiply @ X4 @ (inverse @ X1)))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X3)))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ X1))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl234])).
% 84.59/12.81 thf(zip_derived_cl234, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 84.59/12.81 (multiply @ X4 @ (inverse @ X0)))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 84.59/12.81 (multiply @ X3 @ (inverse @ X0))))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl57])).
% 84.59/12.81 thf(zip_derived_cl57, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 84.59/12.81 X0) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 84.59/12.81 thf(zip_derived_cl252, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ (inverse @ X0))))) @
% 84.59/12.81 X2) = (X0))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl57])).
% 84.59/12.81 thf(zip_derived_cl1086, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 84.59/12.81 thf(zip_derived_cl1086, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 84.59/12.81 thf(zip_derived_cl1241, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1086])).
% 84.59/12.81 thf(zip_derived_cl0, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ X1 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (X0))),
% 84.59/12.81 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.81 thf(zip_derived_cl1357, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 84.59/12.81 (multiply @ X1 @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @ (multiply @ X4 @ (inverse @ (multiply @ X3 @ X0)))) @
% 84.59/12.81 X2))) @
% 84.59/12.81 (multiply @ X3 @ X0))))
% 84.59/12.81 = (X2))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl3469, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 84.59/12.81 (multiply @ X5 @ X2)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @ (inverse @ X0))))) @
% 84.59/12.81 X2)))) @
% 84.59/12.81 X1))) @
% 84.59/12.81 X0)))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl1357])).
% 84.59/12.81 thf(zip_derived_cl252, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ (inverse @ X0))))) @
% 84.59/12.81 X2) = (X0))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl57])).
% 84.59/12.81 thf(zip_derived_cl3596, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 84.59/12.81 (multiply @ X5 @ X2)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X0))) @ X1))) @
% 84.59/12.81 X0)))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl3469, zip_derived_cl252])).
% 84.59/12.81 thf(zip_derived_cl3755, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X5 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (inverse @ X1) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 X1))) @
% 84.59/12.81 X0)))) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 84.59/12.81 X4)))
% 84.59/12.81 = (X3))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl3596])).
% 84.59/12.81 thf(zip_derived_cl0, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ X1 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (X0))),
% 84.59/12.81 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.81 thf(zip_derived_cl3815, plain,
% 84.59/12.81 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X5 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 84.59/12.81 X4)))
% 84.59/12.81 = (X3))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl3755, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl3923, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (multiply @ (inverse @ X3) @ X3) @ X0) @ X1)))
% 84.59/12.81 = (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X1))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1561, zip_derived_cl3815])).
% 84.59/12.81 thf(zip_derived_cl35, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.81 thf(zip_derived_cl0, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ X1 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 84.59/12.81 X2)))
% 84.59/12.81 = (X0))),
% 84.59/12.81 inference('cnf', [status(esa)], [single_axiom])).
% 84.59/12.81 thf(zip_derived_cl50, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl4120, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl3923, zip_derived_cl50])).
% 84.59/12.81 thf(zip_derived_cl1561, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(prove_these_axioms_2, conjecture,
% 84.59/12.81 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 84.59/12.81 thf(zf_stmt_0, negated_conjecture,
% 84.59/12.81 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 84.59/12.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 84.59/12.81 thf(zip_derived_cl1, plain,
% 84.59/12.81 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 84.59/12.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 84.59/12.81 thf(zip_derived_cl4355, plain,
% 84.59/12.81 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 84.59/12.81 inference('sup-', [status(thm)], [zip_derived_cl4275, zip_derived_cl1])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl50, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl4350, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl50])).
% 84.59/12.81 thf(zip_derived_cl5054, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl9637, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X5) @ X5) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X4) @ X4) @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))))))
% 84.59/12.81 = (multiply @ (inverse @ X2) @ X2))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl5054])).
% 84.59/12.81 thf(zip_derived_cl3923, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (multiply @ (inverse @ X3) @ X3) @ X0) @ X1)))
% 84.59/12.81 = (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X1))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1561, zip_derived_cl3815])).
% 84.59/12.81 thf(zip_derived_cl50, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl1241, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1086])).
% 84.59/12.81 thf(zip_derived_cl1452, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X0) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 84.59/12.81 (multiply @ X4 @ (inverse @ (multiply @ X0 @ X3))))))) @
% 84.59/12.81 (multiply @ X2 @ X1)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl1241])).
% 84.59/12.81 thf(zip_derived_cl4122, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @ (multiply @ (multiply @ (inverse @ X5) @ X5) @ X1)) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X3))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))) @
% 84.59/12.81 (multiply @ X4 @ X3)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl3923, zip_derived_cl1452])).
% 84.59/12.81 thf(zip_derived_cl1561, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 84.59/12.81 thf(zip_derived_cl4277, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @ (multiply @ (multiply @ (inverse @ X5) @ X5) @ X1)) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X3))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X4 @ X1)) @
% 84.59/12.81 (multiply @ X4 @ X3)))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4122, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl4350, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl50])).
% 84.59/12.81 thf(zip_derived_cl9740, plain,
% 84.59/12.81 (![X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl9637, zip_derived_cl4277, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl252, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ (inverse @ X0))))) @
% 84.59/12.81 X2) = (X0))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl57])).
% 84.59/12.81 thf(zip_derived_cl4352, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X1 @ (inverse @ X0))))) @
% 84.59/12.81 X2) = (X0))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl252])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl1561, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 84.59/12.81 thf(zip_derived_cl4341, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((X0)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X2))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl10379, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1) @ X0))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9969, zip_derived_cl4341])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl10541, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1) @ X0)))))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10379, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl35, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.81 thf(zip_derived_cl4341, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((X0)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X2))))))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl4751, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ X0))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1)))) @
% 84.59/12.81 X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl4341])).
% 84.59/12.81 thf(zip_derived_cl9740, plain,
% 84.59/12.81 (![X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl9637, zip_derived_cl4277, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl4350, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl50])).
% 84.59/12.81 thf(zip_derived_cl10375, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 84.59/12.81 (inverse @ (multiply @ X1 @ X0))))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9969, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl10537, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @ (multiply @ X1 @ X0)))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10375, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl4275, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 84.59/12.81 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4120, zip_derived_cl1561])).
% 84.59/12.81 thf(zip_derived_cl13, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 84.59/12.81 (multiply @ X2 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (inverse @ X1)) @
% 84.59/12.81 X0))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl4345, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0)) @
% 84.59/12.81 X2))))
% 84.59/12.81 = (X0))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl13])).
% 84.59/12.81 thf(zip_derived_cl10380, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 84.59/12.81 X0))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9969, zip_derived_cl4345])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl10542, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 84.59/12.81 X0)))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10380, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl12991, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X2)) @
% 84.59/12.81 (inverse @ (multiply @ X0 @ X2)))
% 84.59/12.81 = (multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @ (multiply @ X0 @ X1))))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl10537, zip_derived_cl10542])).
% 84.59/12.81 thf(zip_derived_cl13147, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X2)) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 84.59/12.81 = (multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X2) @ X1))))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl9740, zip_derived_cl12991])).
% 84.59/12.81 thf(zip_derived_cl13538, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X0) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X5) @ X5)))
% 84.59/12.81 = (multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @ X2))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @ X0)))) @
% 84.59/12.81 X2)) @
% 84.59/12.81 X1))))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl4751, zip_derived_cl13147])).
% 84.59/12.81 thf(zip_derived_cl4751, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ X0))) @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1)))) @
% 84.59/12.81 X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl4341])).
% 84.59/12.81 thf(zip_derived_cl13585, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X0) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X5) @ X5)))
% 84.59/12.81 = (multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @ (multiply @ X0 @ X1))))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl13538, zip_derived_cl4751])).
% 84.59/12.81 thf(zip_derived_cl35, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 84.59/12.81 X0))) @
% 84.59/12.81 X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 84.59/12.81 thf(zip_derived_cl15346, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X2))) @
% 84.59/12.81 (multiply @ X4 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @ X2))))
% 84.59/12.81 = (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 84.59/12.81 (inverse @ X1)) @
% 84.59/12.81 X0))))) @
% 84.59/12.81 X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl13585, zip_derived_cl35])).
% 84.59/12.81 thf(zip_derived_cl3815, plain,
% 84.59/12.81 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X5 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 84.59/12.81 X4)))
% 84.59/12.81 = (X3))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl3755, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl9740, plain,
% 84.59/12.81 (![X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl9637, zip_derived_cl4277, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl1241, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 84.59/12.81 (multiply @ X3 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1086])).
% 84.59/12.81 thf(zip_derived_cl10324, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 84.59/12.81 X2)) @
% 84.59/12.81 X0)
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 84.59/12.81 (multiply @ X1 @ X0)))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9969, zip_derived_cl1241])).
% 84.59/12.81 thf(zip_derived_cl9969, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 84.59/12.81 X1) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)], [zip_derived_cl9740, zip_derived_cl4352])).
% 84.59/12.81 thf(zip_derived_cl10490, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X2) @ X0)
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 84.59/12.81 (multiply @ X1 @ X0)))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10324, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl10719, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X2) @ X1)
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 84.59/12.81 (multiply @ (inverse @ X2) @ X1)))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl9740, zip_derived_cl10490])).
% 84.59/12.81 thf(zip_derived_cl10982, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X2) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X2) @ (inverse @ X1))) @ X0))) @
% 84.59/12.81 X1)))
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ (inverse @ X4) @ X4)) @ X0))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl3815, zip_derived_cl10719])).
% 84.59/12.81 thf(zip_derived_cl3815, plain,
% 84.59/12.81 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.59/12.81 ((multiply @ X5 @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 84.59/12.81 X4)))
% 84.59/12.81 = (X3))),
% 84.59/12.81 inference('demod', [status(thm)], [zip_derived_cl3755, zip_derived_cl0])).
% 84.59/12.81 thf(zip_derived_cl11015, plain,
% 84.59/12.81 (![X0 : $i, X4 : $i]:
% 84.59/12.81 ((X0) = (multiply @ (inverse @ (multiply @ (inverse @ X4) @ X4)) @ X0))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10982, zip_derived_cl3815])).
% 84.59/12.81 thf(zip_derived_cl10490, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X2) @ X0)
% 84.59/12.81 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 84.59/12.81 (multiply @ X1 @ X0)))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10324, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl9740, plain,
% 84.59/12.81 (![X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl9637, zip_derived_cl4277, zip_derived_cl4350])).
% 84.59/12.81 thf(zip_derived_cl10542, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 84.59/12.81 X0)))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10380, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl15488, plain,
% 84.59/12.81 (![X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ X2) @ X2)
% 84.59/12.81 = (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X1)) @
% 84.59/12.81 X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl15346, zip_derived_cl11015,
% 84.59/12.81 zip_derived_cl10490, zip_derived_cl9740, zip_derived_cl10542])).
% 84.59/12.81 thf(zip_derived_cl10542, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1)) @
% 84.59/12.81 X0)))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10380, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl15553, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i]:
% 84.59/12.81 ((multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl15488, zip_derived_cl10542])).
% 84.59/12.81 thf(zip_derived_cl10537, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X4 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X4) @ X4) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @ (multiply @ X1 @ X0)))))
% 84.59/12.81 = (X1))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10375, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl15922, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ (inverse @ X0))
% 84.59/12.81 = (inverse @ X0))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl15553, zip_derived_cl10537])).
% 84.59/12.81 thf(zip_derived_cl16085, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X3) @ X3) @ X0)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X1)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0) @ X1)))))),
% 84.59/12.81 inference('sup+', [status(thm)],
% 84.59/12.81 [zip_derived_cl10541, zip_derived_cl15922])).
% 84.59/12.81 thf(zip_derived_cl10541, plain,
% 84.59/12.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.59/12.81 ((X1)
% 84.59/12.81 = (inverse @
% 84.59/12.81 (multiply @ (inverse @ (inverse @ X0)) @
% 84.59/12.81 (inverse @
% 84.59/12.81 (multiply @
% 84.59/12.81 (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1) @ X0)))))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl10379, zip_derived_cl9969])).
% 84.59/12.81 thf(zip_derived_cl16101, plain,
% 84.59/12.81 (![X0 : $i, X3 : $i]:
% 84.59/12.81 ((multiply @ (multiply @ (inverse @ X3) @ X3) @ X0) = (X0))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl16085, zip_derived_cl10541])).
% 84.59/12.81 thf(zip_derived_cl16123, plain, (((a2) != (a2))),
% 84.59/12.81 inference('demod', [status(thm)],
% 84.59/12.81 [zip_derived_cl4355, zip_derived_cl16101])).
% 84.59/12.81 thf(zip_derived_cl16124, plain, ($false),
% 84.59/12.81 inference('simplify', [status(thm)], [zip_derived_cl16123])).
% 84.59/12.81
% 84.59/12.81 % SZS output end Refutation
% 84.59/12.81
% 84.59/12.81
% 84.59/12.81 % Terminating...
% 85.19/12.89 % Runner terminated.
% 85.19/12.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------