TSTP Solution File: GRP054-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP054-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kz9eVUseKU true
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:44 EDT 2023
% Result : Unsatisfiable 62.72s 9.51s
% Output : Refutation 62.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP054-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kz9eVUseKU true
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 22:57:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.61 % Total configuration time : 435
% 0.22/0.61 % Estimated wc time : 1092
% 0.22/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 62.72/9.51 % Solved by fo/fo7.sh.
% 62.72/9.51 % done 829 iterations in 8.821s
% 62.72/9.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 62.72/9.51 % SZS output start Refutation
% 62.72/9.51 thf(b1_type, type, b1: $i).
% 62.72/9.51 thf(b3_type, type, b3: $i).
% 62.72/9.51 thf(b2_type, type, b2: $i).
% 62.72/9.51 thf(inverse_type, type, inverse: $i > $i).
% 62.72/9.51 thf(multiply_type, type, multiply: $i > $i > $i).
% 62.72/9.51 thf(a3_type, type, a3: $i).
% 62.72/9.51 thf(c3_type, type, c3: $i).
% 62.72/9.51 thf(a2_type, type, a2: $i).
% 62.72/9.51 thf(a1_type, type, a1: $i).
% 62.72/9.51 thf(single_axiom, axiom,
% 62.72/9.51 (( inverse @
% 62.72/9.51 ( multiply @
% 62.72/9.51 ( inverse @
% 62.72/9.51 ( multiply @
% 62.72/9.51 Z @
% 62.72/9.51 ( inverse @
% 62.72/9.51 ( multiply @
% 62.72/9.51 ( inverse @ X ) @
% 62.72/9.51 ( inverse @
% 62.72/9.51 ( multiply @
% 62.72/9.51 Y @ ( inverse @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) ) ) ) @
% 62.72/9.51 ( multiply @ Z @ Y ) ) ) =
% 62.72/9.51 ( X ))).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl2, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X4 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 62.72/9.51 (multiply @ X4 @ X3)))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl17, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X2)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 62.72/9.51 (multiply @ X1 @ X0)) = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl46, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X1) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ X3 @ X2) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 62.72/9.51 (multiply @ X3 @ X2))))))))) @
% 62.72/9.51 X0))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ X2 @ X1) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 62.72/9.51 (multiply @ X2 @ X1)))))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl17, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X2)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 62.72/9.51 (multiply @ X1 @ X0)) = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl17, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X2)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 62.72/9.51 (multiply @ X1 @ X0)) = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl50, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X1)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ X3 @ X2) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 62.72/9.51 (multiply @ X3 @ X2))))))))) @
% 62.72/9.51 X0) = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl17])).
% 62.72/9.51 thf(zip_derived_cl544, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 62.72/9.51 = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl50])).
% 62.72/9.51 thf(zip_derived_cl137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ X2 @ X1) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 62.72/9.51 (multiply @ X2 @ X1)))))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl46, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X1) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ X3 @ X2) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 62.72/9.51 (multiply @ X3 @ X2))))))))) @
% 62.72/9.51 X0))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl542, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 62.72/9.51 thf(zip_derived_cl542, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 62.72/9.51 thf(zip_derived_cl17, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (inverse @ X2)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 62.72/9.51 (multiply @ X1 @ X0)) = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl940, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 62.72/9.51 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 62.72/9.51 thf(zip_derived_cl1151, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((multiply @ X0 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 62.72/9.51 (multiply @ X4 @ X3)))) @
% 62.72/9.51 X1))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 62.72/9.51 thf(zip_derived_cl1151, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((multiply @ X0 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 62.72/9.51 (multiply @ X4 @ X3)))) @
% 62.72/9.51 X1))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 62.72/9.51 thf(zip_derived_cl1384, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.72/9.51 ((multiply @ X5 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 62.72/9.51 (multiply @ X4 @ X1)))) @
% 62.72/9.51 X0))
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 X0)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl1151])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(prove_these_axioms, conjecture,
% 62.72/9.51 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 62.72/9.51 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 62.72/9.51 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 62.72/9.51 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 62.72/9.51 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 62.72/9.51 thf(zf_stmt_0, negated_conjecture,
% 62.72/9.51 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 62.72/9.51 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 62.72/9.51 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 62.72/9.51 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 62.72/9.51 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 62.72/9.51 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 62.72/9.51 thf(zip_derived_cl1, plain,
% 62.72/9.51 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.72/9.51 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 62.72/9.51 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 62.72/9.51 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 62.72/9.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 62.72/9.51 thf(zip_derived_cl2252, plain,
% 62.72/9.51 (![X0 : $i]:
% 62.72/9.51 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 62.72/9.51 | ((multiply @ (inverse @ a1) @ a1)
% 62.72/9.51 != (multiply @ (inverse @ b1) @ b1))
% 62.72/9.51 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.72/9.51 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 62.72/9.51 inference('sup-', [status(thm)], [zip_derived_cl1789, zip_derived_cl1])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl2417, plain,
% 62.72/9.51 (![X0 : $i]:
% 62.72/9.51 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.72/9.51 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 62.72/9.51 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 62.72/9.51 inference('simplify_reflect+', [status(thm)],
% 62.72/9.51 [zip_derived_cl2252, zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl542, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 62.72/9.51 thf(zip_derived_cl1898, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 62.72/9.51 = (X3))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl542])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl2132, plain,
% 62.72/9.51 (![X0 : $i, X3 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 62.72/9.51 = (X3))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl1898, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl3218, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2132])).
% 62.72/9.51 thf(zip_derived_cl3560, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl3218])).
% 62.72/9.51 thf(zip_derived_cl542, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 62.72/9.51 thf(zip_derived_cl3738, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl3560, zip_derived_cl542])).
% 62.72/9.51 thf(zip_derived_cl2, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X4 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 62.72/9.51 (multiply @ X4 @ X3)))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl5014, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X0)))
% 62.72/9.51 = (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @ (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl3738, zip_derived_cl2])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl3218, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2132])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl5137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.51 zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl5137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.51 zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl5332, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 62.72/9.51 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 62.72/9.51 (multiply @ (inverse @ X1) @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl5137, zip_derived_cl5137])).
% 62.72/9.51 thf(zip_derived_cl0, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.51 (multiply @ X1 @ X2)))
% 62.72/9.51 = (X0))),
% 62.72/9.51 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.51 thf(zip_derived_cl10441, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ X1) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 62.72/9.51 (multiply @ (inverse @ X2) @ X2))))))))) @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl5332, zip_derived_cl0])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl940, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 62.72/9.51 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 62.72/9.51 (multiply @ X2 @ X1)))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 62.72/9.51 thf(zip_derived_cl1800, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 62.72/9.51 = (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X4)) @
% 62.72/9.51 (multiply @ X2 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 62.72/9.51 (multiply @ X1 @ X0)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl940])).
% 62.72/9.51 thf(zip_derived_cl1629, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X0) @ X0)
% 62.72/9.51 = (multiply @ X3 @
% 62.72/9.51 (multiply @
% 62.72/9.51 (inverse @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 62.72/9.51 (multiply @ X2 @ X1)))) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 62.72/9.51 thf(zip_derived_cl2036, plain,
% 62.72/9.51 (![X0 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 62.72/9.51 = (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X4)) @
% 62.72/9.51 (multiply @ (inverse @ X0) @ X0)))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl1800, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl2599, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 62.72/9.51 (multiply @ (inverse @ X0) @ X0)) = (multiply @ (inverse @ X2) @ X2))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl2036, zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.51 thf(zip_derived_cl5137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.51 zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl3738, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl3560, zip_derived_cl542])).
% 62.72/9.51 thf(zip_derived_cl5407, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl5137, zip_derived_cl3738])).
% 62.72/9.51 thf(zip_derived_cl5137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.51 zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl5620, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 62.72/9.51 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1)))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5407, zip_derived_cl5137])).
% 62.72/9.51 thf(zip_derived_cl7709, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 62.72/9.51 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5620])).
% 62.72/9.51 thf(zip_derived_cl3738, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 62.72/9.51 (inverse @
% 62.72/9.51 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 62.72/9.51 = (X1))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl3560, zip_derived_cl542])).
% 62.72/9.51 thf(zip_derived_cl8159, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.51 = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('sup+', [status(thm)], [zip_derived_cl7709, zip_derived_cl3738])).
% 62.72/9.51 thf(zip_derived_cl5137, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.51 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.51 zip_derived_cl1789])).
% 62.72/9.51 thf(zip_derived_cl8367, plain,
% 62.72/9.51 (![X0 : $i, X1 : $i]:
% 62.72/9.51 ((inverse @
% 62.72/9.51 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 62.72/9.51 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.51 = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.51 inference('demod', [status(thm)],
% 62.72/9.51 [zip_derived_cl8159, zip_derived_cl5137])).
% 62.72/9.51 thf(zip_derived_cl1789, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.52 thf(zip_derived_cl5137, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.52 zip_derived_cl1789])).
% 62.72/9.52 thf(zip_derived_cl5137, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.52 zip_derived_cl1789])).
% 62.72/9.52 thf(zip_derived_cl5251, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl5137, zip_derived_cl5137])).
% 62.72/9.52 thf(zip_derived_cl544, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @
% 62.72/9.52 (inverse @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 62.72/9.52 (multiply @ X1 @ X0)))) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 62.72/9.52 = (X2))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl50])).
% 62.72/9.52 thf(zip_derived_cl5843, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X1) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1))))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl5251, zip_derived_cl544])).
% 62.72/9.52 thf(zip_derived_cl1789, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.52 thf(zip_derived_cl5137, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.52 zip_derived_cl1789])).
% 62.72/9.52 thf(zip_derived_cl6025, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl5843, zip_derived_cl1789, zip_derived_cl5137])).
% 62.72/9.52 thf(zip_derived_cl7895, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ (multiply @ (inverse @ X2) @ X2) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl6025])).
% 62.72/9.52 thf(zip_derived_cl10860, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @ (inverse @ X1) @
% 62.72/9.52 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl10441, zip_derived_cl2599, zip_derived_cl8367,
% 62.72/9.52 zip_derived_cl7895])).
% 62.72/9.52 thf(zip_derived_cl3738, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl3560, zip_derived_cl542])).
% 62.72/9.52 thf(zip_derived_cl11064, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X0))
% 62.72/9.52 = (inverse @ X0))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl10860, zip_derived_cl3738])).
% 62.72/9.52 thf(zip_derived_cl5137, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl5014, zip_derived_cl1789, zip_derived_cl3218,
% 62.72/9.52 zip_derived_cl1789])).
% 62.72/9.52 thf(zip_derived_cl11319, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))
% 62.72/9.52 = (inverse @ X0))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl11064, zip_derived_cl5137])).
% 62.72/9.52 thf(zip_derived_cl0, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X1 @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X0) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.52 (multiply @ X1 @ X2)))
% 62.72/9.52 = (X0))),
% 62.72/9.52 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.52 thf(zip_derived_cl11368, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X3 @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X0) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.52 (multiply @ X3 @ X2)))
% 62.72/9.52 = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl11319, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl0, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X1 @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ (inverse @ X0) @
% 62.72/9.52 (inverse @
% 62.72/9.52 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 62.72/9.52 (multiply @ X1 @ X2)))
% 62.72/9.52 = (X0))),
% 62.72/9.52 inference('cnf', [status(esa)], [single_axiom])).
% 62.72/9.52 thf(zip_derived_cl11585, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)], [zip_derived_cl11368, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl11663, plain,
% 62.72/9.52 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.72/9.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 62.72/9.52 | ((a2) != (a2)))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl2417, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl11664, plain,
% 62.72/9.52 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 62.72/9.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 62.72/9.52 inference('simplify', [status(thm)], [zip_derived_cl11663])).
% 62.72/9.52 thf(zip_derived_cl1789, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 62.72/9.52 thf(zip_derived_cl10860, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @ (inverse @ X1) @
% 62.72/9.52 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl10441, zip_derived_cl2599, zip_derived_cl8367,
% 62.72/9.52 zip_derived_cl7895])).
% 62.72/9.52 thf(zip_derived_cl11585, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)], [zip_derived_cl11368, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl940, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 62.72/9.52 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 62.72/9.52 (multiply @ X2 @ X1)))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 62.72/9.52 thf(zip_derived_cl11675, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 62.72/9.52 = (multiply @
% 62.72/9.52 (inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X2)) @
% 62.72/9.52 X0))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl11585, zip_derived_cl940])).
% 62.72/9.52 thf(zip_derived_cl11585, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)], [zip_derived_cl11368, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl11838, plain,
% 62.72/9.52 (![X0 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X2) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl11675, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl13726, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1))
% 62.72/9.52 = (multiply @
% 62.72/9.52 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl10860, zip_derived_cl11838])).
% 62.72/9.52 thf(zip_derived_cl5251, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 62.72/9.52 = (multiply @ (inverse @ X1) @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl5137, zip_derived_cl5137])).
% 62.72/9.52 thf(zip_derived_cl11585, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)], [zip_derived_cl11368, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl11774, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X1)
% 62.72/9.52 = (multiply @
% 62.72/9.52 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl5251, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl13752, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl13726, zip_derived_cl11774])).
% 62.72/9.52 thf(zip_derived_cl13779, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl1789, zip_derived_cl13752])).
% 62.72/9.52 thf(zip_derived_cl11838, plain,
% 62.72/9.52 (![X0 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X2) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl11675, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl13865, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 62.72/9.52 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl13779, zip_derived_cl11838])).
% 62.72/9.52 thf(zip_derived_cl13779, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl1789, zip_derived_cl13752])).
% 62.72/9.52 thf(zip_derived_cl13910, plain,
% 62.72/9.52 (![X0 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl13865, zip_derived_cl13779])).
% 62.72/9.52 thf(zip_derived_cl13910, plain,
% 62.72/9.52 (![X0 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl13865, zip_derived_cl13779])).
% 62.72/9.52 thf(zip_derived_cl14044, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (inverse @ X0)) @
% 62.72/9.52 (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl13910, zip_derived_cl13910])).
% 62.72/9.52 thf(zip_derived_cl13752, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl13726, zip_derived_cl11774])).
% 62.72/9.52 thf(zip_derived_cl7709, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 62.72/9.52 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5620])).
% 62.72/9.52 thf(zip_derived_cl11585, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)], [zip_derived_cl11368, zip_derived_cl0])).
% 62.72/9.52 thf(zip_derived_cl11665, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((inverse @
% 62.72/9.52 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))
% 62.72/9.52 = (X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl7709, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl13769, plain,
% 62.72/9.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl13752, zip_derived_cl11665])).
% 62.72/9.52 thf(zip_derived_cl14057, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i]:
% 62.72/9.52 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl14044, zip_derived_cl13769])).
% 62.72/9.52 thf(zip_derived_cl11838, plain,
% 62.72/9.52 (![X0 : $i, X2 : $i, X3 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 62.72/9.52 = (multiply @ (inverse @ X2) @ X0))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl11675, zip_derived_cl11585])).
% 62.72/9.52 thf(zip_derived_cl14147, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1))
% 62.72/9.52 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl14057, zip_derived_cl11838])).
% 62.72/9.52 thf(zip_derived_cl13769, plain,
% 62.72/9.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl13752, zip_derived_cl11665])).
% 62.72/9.52 thf(zip_derived_cl13769, plain,
% 62.72/9.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 62.72/9.52 inference('sup+', [status(thm)],
% 62.72/9.52 [zip_derived_cl13752, zip_derived_cl11665])).
% 62.72/9.52 thf(zip_derived_cl14196, plain,
% 62.72/9.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.72/9.52 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 62.72/9.52 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl14147, zip_derived_cl13769, zip_derived_cl13769])).
% 62.72/9.52 thf(zip_derived_cl14205, plain,
% 62.72/9.52 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 62.72/9.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 62.72/9.52 inference('demod', [status(thm)],
% 62.72/9.52 [zip_derived_cl11664, zip_derived_cl14196])).
% 62.72/9.52 thf(zip_derived_cl14206, plain, ($false),
% 62.72/9.52 inference('simplify', [status(thm)], [zip_derived_cl14205])).
% 62.72/9.52
% 62.72/9.52 % SZS output end Refutation
% 62.72/9.52
% 62.72/9.52
% 62.72/9.52 % Terminating...
% 63.04/9.63 % Runner terminated.
% 63.04/9.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------