TSTP Solution File: GRP412-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP412-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.acAtjw2wOa true
% Computer : n015.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 01:51:32 EDT 2023
% Result : Unsatisfiable 29.38s 4.96s
% Output : Refutation 29.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP412-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.acAtjw2wOa true
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:20:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.64/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.64/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.64/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 29.38/4.96 % Solved by fo/fo7.sh.
% 29.38/4.96 % done 775 iterations in 4.194s
% 29.38/4.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.38/4.96 % SZS output start Refutation
% 29.38/4.96 thf(inverse_type, type, inverse: $i > $i).
% 29.38/4.96 thf(b1_type, type, b1: $i).
% 29.38/4.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 29.38/4.96 thf(a1_type, type, a1: $i).
% 29.38/4.96 thf(single_axiom, axiom,
% 29.38/4.96 (( multiply @
% 29.38/4.96 A @
% 29.38/4.96 ( inverse @
% 29.38/4.96 ( multiply @
% 29.38/4.96 ( multiply @
% 29.38/4.96 ( multiply @ ( inverse @ B ) @ B ) @
% 29.38/4.96 ( inverse @
% 29.38/4.96 ( multiply @
% 29.38/4.96 ( inverse @ ( multiply @ A @ ( inverse @ B ) ) ) @ C ) ) ) @
% 29.38/4.96 B ) ) ) =
% 29.38/4.96 ( C ))).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl3, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl13, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (inverse @ X1)) @
% 29.38/4.96 X0))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl35, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl3, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl35, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl13, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @ (inverse @ X1)) @
% 29.38/4.96 X0))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl57, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 29.38/4.96 X0) = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl35, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl35, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl52, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X1 @ X0))))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0)))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl35])).
% 29.38/4.96 thf(zip_derived_cl196, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X4 @ (inverse @ X0)))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @ X0))))) @
% 29.38/4.96 X1)))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl52])).
% 29.38/4.96 thf(zip_derived_cl57, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 29.38/4.96 X0) = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl234, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X4 @ (inverse @ X0)))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ X0))))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl57])).
% 29.38/4.96 thf(zip_derived_cl284, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ X0) @ (multiply @ X4 @ (inverse @ X1)))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X3)))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ X1))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl234])).
% 29.38/4.96 thf(zip_derived_cl457, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ X1) @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (inverse @ X3)))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ X4 @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @ X1)) @
% 29.38/4.96 X0))))) @
% 29.38/4.96 (multiply @ X4 @ (inverse @ X3))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl284])).
% 29.38/4.96 thf(zip_derived_cl657, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @ X0)) @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 29.38/4.96 (inverse @ X1)))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ X1))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl457])).
% 29.38/4.96 thf(zip_derived_cl752, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @ X5)) @
% 29.38/4.96 X0)
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 29.38/4.96 (multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1)))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl657])).
% 29.38/4.96 thf(zip_derived_cl3, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl804, plain,
% 29.38/4.96 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @ X5)) @
% 29.38/4.96 X0)
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 29.38/4.96 (multiply @ X4 @
% 29.38/4.96 (multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 29.38/4.96 X2))))))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl3])).
% 29.38/4.96 thf(zip_derived_cl1086, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 29.38/4.96 (multiply @ X3 @ X0)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 29.38/4.96 thf(zip_derived_cl3, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ X3 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0)) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl1222, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @ X0))) @
% 29.38/4.96 X3)))
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X1 @ X0)))) @
% 29.38/4.96 X2)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl3])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl1344, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((X0)
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X1 @ X0)))) @
% 29.38/4.96 X2)))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl1222, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl1561, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((X1)
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 29.38/4.96 thf(zip_derived_cl284, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ X0) @ (multiply @ X4 @ (inverse @ X1)))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X3)))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ X1))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl234])).
% 29.38/4.96 thf(zip_derived_cl234, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X4 @ (inverse @ X0)))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X1))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ X0))))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl57])).
% 29.38/4.96 thf(zip_derived_cl57, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))))) @
% 29.38/4.96 X0) = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl252, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X1 @ (inverse @ X0))))) @
% 29.38/4.96 X2) = (X0))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl57])).
% 29.38/4.96 thf(zip_derived_cl1086, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 29.38/4.96 (multiply @ X3 @ X0)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 29.38/4.96 thf(zip_derived_cl1086, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X4)) @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @ X0))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 29.38/4.96 (multiply @ X3 @ X0)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl804])).
% 29.38/4.96 thf(zip_derived_cl1241, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 29.38/4.96 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 29.38/4.96 (multiply @ X3 @ X0)))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1086])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl1357, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 29.38/4.96 (multiply @ X1 @ X0)) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @ (multiply @ X4 @ (inverse @ (multiply @ X3 @ X0)))) @
% 29.38/4.96 X2))) @
% 29.38/4.96 (multiply @ X3 @ X0))))
% 29.38/4.96 = (X2))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl3469, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 29.38/4.96 (multiply @ X5 @ X2)) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ X0))))) @
% 29.38/4.96 X2)))) @
% 29.38/4.96 X1))) @
% 29.38/4.96 X0)))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl1357])).
% 29.38/4.96 thf(zip_derived_cl252, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X1 @ (inverse @ X0))))) @
% 29.38/4.96 X2) = (X0))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl57])).
% 29.38/4.96 thf(zip_derived_cl3596, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @ X4 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 29.38/4.96 (multiply @ X5 @ X2)) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X0))) @ X1))) @
% 29.38/4.96 X0)))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl3469, zip_derived_cl252])).
% 29.38/4.96 thf(zip_derived_cl3755, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @ X5 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (inverse @ X1) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 X1))) @
% 29.38/4.96 X0)))) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 29.38/4.96 X4)))
% 29.38/4.96 = (X3))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl3596])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl3815, plain,
% 29.38/4.96 (![X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.96 ((multiply @ X5 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X5 @ (inverse @ X4))) @ X3))) @
% 29.38/4.96 X4)))
% 29.38/4.96 = (X3))),
% 29.38/4.96 inference('demod', [status(thm)], [zip_derived_cl3755, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl3923, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (multiply @ (inverse @ X3) @ X3) @ X0) @ X1)))
% 29.38/4.96 = (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X1))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl1561, zip_derived_cl3815])).
% 29.38/4.96 thf(zip_derived_cl35, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (inverse @ (multiply @ X3 @ (inverse @ X2))) @
% 29.38/4.96 (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2))))
% 29.38/4.96 = (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @ (inverse @ X1))) @
% 29.38/4.96 X0))) @
% 29.38/4.96 X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 29.38/4.96 thf(zip_derived_cl0, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ X1 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @ X0))) @
% 29.38/4.96 X2)))
% 29.38/4.96 = (X0))),
% 29.38/4.96 inference('cnf', [status(esa)], [single_axiom])).
% 29.38/4.96 thf(zip_derived_cl50, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl4120, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))
% 29.38/4.96 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl3923, zip_derived_cl50])).
% 29.38/4.96 thf(zip_derived_cl1561, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((X1)
% 29.38/4.96 = (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 29.38/4.96 thf(zip_derived_cl4275, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 29.38/4.96 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 29.38/4.96 inference('demod', [status(thm)],
% 29.38/4.96 [zip_derived_cl4120, zip_derived_cl1561])).
% 29.38/4.96 thf(zip_derived_cl4275, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 29.38/4.96 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 29.38/4.96 inference('demod', [status(thm)],
% 29.38/4.96 [zip_derived_cl4120, zip_derived_cl1561])).
% 29.38/4.96 thf(zip_derived_cl4275, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 29.38/4.96 = (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))),
% 29.38/4.96 inference('demod', [status(thm)],
% 29.38/4.96 [zip_derived_cl4120, zip_derived_cl1561])).
% 29.38/4.96 thf(zip_derived_cl50, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 29.38/4.96 thf(zip_derived_cl4350, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl50])).
% 29.38/4.96 thf(zip_derived_cl4824, plain,
% 29.38/4.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.96 ((multiply @ (multiply @ (inverse @ X4) @ X4) @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @
% 29.38/4.96 (inverse @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X3) @ X3) @ (inverse @ X0))) @
% 29.38/4.96 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 29.38/4.96 (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.96 = (X1))),
% 29.38/4.96 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl4350])).
% 29.38/4.97 thf(zip_derived_cl8370, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.97 ((multiply @ (multiply @ (inverse @ X5) @ X5) @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X4) @ X4) @ (inverse @ X0))) @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.97 (inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))))))
% 29.38/4.97 = (multiply @ (inverse @ X2) @ X2))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl4824])).
% 29.38/4.97 thf(zip_derived_cl3923, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.97 ((multiply @ X2 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (multiply @ (multiply @ (inverse @ X3) @ X3) @ X0) @ X1)))
% 29.38/4.97 = (multiply @ X2 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) @ X1))))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl1561, zip_derived_cl3815])).
% 29.38/4.97 thf(zip_derived_cl50, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.97 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.97 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.97 = (X1))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 29.38/4.97 thf(zip_derived_cl1241, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.97 ((multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X1 @ X0))
% 29.38/4.97 = (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 29.38/4.97 (multiply @ X3 @ X0)))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1086])).
% 29.38/4.97 thf(zip_derived_cl1452, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 29.38/4.97 ((multiply @ (inverse @ X0) @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X3) @ X3) @ X1))
% 29.38/4.97 = (multiply @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ X2 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X3))) @
% 29.38/4.97 (multiply @ X4 @ (inverse @ (multiply @ X0 @ X3))))))) @
% 29.38/4.97 (multiply @ X2 @ X1)))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl1241])).
% 29.38/4.97 thf(zip_derived_cl4122, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.97 ((multiply @
% 29.38/4.97 (inverse @ (multiply @ (multiply @ (inverse @ X5) @ X5) @ X1)) @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X3))
% 29.38/4.97 = (multiply @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ X4 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.97 (multiply @ X2 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))) @
% 29.38/4.97 (multiply @ X4 @ X3)))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl3923, zip_derived_cl1452])).
% 29.38/4.97 thf(zip_derived_cl1561, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.38/4.97 ((X1)
% 29.38/4.97 = (inverse @
% 29.38/4.97 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.97 (multiply @ X2 @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) @ X0))))))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1344])).
% 29.38/4.97 thf(zip_derived_cl4277, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 29.38/4.97 ((multiply @
% 29.38/4.97 (inverse @ (multiply @ (multiply @ (inverse @ X5) @ X5) @ X1)) @
% 29.38/4.97 (multiply @ (multiply @ (inverse @ X0) @ X0) @ X3))
% 29.38/4.97 = (multiply @ (inverse @ (multiply @ X4 @ X1)) @
% 29.38/4.97 (multiply @ X4 @ X3)))),
% 29.38/4.97 inference('demod', [status(thm)],
% 29.38/4.97 [zip_derived_cl4122, zip_derived_cl1561])).
% 29.38/4.97 thf(zip_derived_cl4350, plain,
% 29.38/4.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 29.38/4.97 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 29.38/4.97 (inverse @
% 29.38/4.97 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X0))) @
% 29.38/4.97 (multiply @ X2 @ (inverse @ (multiply @ X1 @ X0))))))
% 29.38/4.97 = (X1))),
% 29.38/4.97 inference('sup+', [status(thm)], [zip_derived_cl4275, zip_derived_cl50])).
% 29.38/4.97 thf(zip_derived_cl8481, plain,
% 29.38/4.97 (![X1 : $i, X2 : $i]:
% 29.38/4.97 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 29.38/4.97 inference('demod', [status(thm)],
% 29.38/4.97 [zip_derived_cl8370, zip_derived_cl4277, zip_derived_cl4350])).
% 29.38/4.97 thf(prove_these_axioms_1, conjecture,
% 29.38/4.97 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 29.38/4.97 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 29.38/4.97 thf(zf_stmt_0, negated_conjecture,
% 29.38/4.97 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 29.38/4.97 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 29.38/4.97 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 29.38/4.97 thf(zip_derived_cl1, plain,
% 29.38/4.97 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 29.38/4.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.38/4.97 thf(zip_derived_cl8701, plain,
% 29.38/4.97 (![X0 : $i]:
% 29.38/4.97 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 29.38/4.97 inference('sup-', [status(thm)], [zip_derived_cl8481, zip_derived_cl1])).
% 29.38/4.97 thf(zip_derived_cl8481, plain,
% 29.38/4.97 (![X1 : $i, X2 : $i]:
% 29.38/4.97 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X2) @ X2))),
% 29.38/4.97 inference('demod', [status(thm)],
% 29.38/4.97 [zip_derived_cl8370, zip_derived_cl4277, zip_derived_cl4350])).
% 29.38/4.97 thf(zip_derived_cl8878, plain, ($false),
% 29.38/4.97 inference('simplify_reflect+', [status(thm)],
% 29.38/4.97 [zip_derived_cl8701, zip_derived_cl8481])).
% 29.38/4.97
% 29.38/4.97 % SZS output end Refutation
% 29.38/4.97
% 29.38/4.97
% 29.38/4.97 % Terminating...
% 31.03/5.06 % Runner terminated.
% 31.03/5.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------