TSTP Solution File: GRP049-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP049-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ctGDr7t3fg true
% Computer : n022.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 01:49:43 EDT 2023
% Result : Unsatisfiable 38.42s 6.23s
% Output : Refutation 38.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ctGDr7t3fg true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 02:20:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 38.42/6.23 % Solved by fo/fo7.sh.
% 38.42/6.23 % done 919 iterations in 5.458s
% 38.42/6.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 38.42/6.23 % SZS output start Refutation
% 38.42/6.23 thf(inverse_type, type, inverse: $i > $i).
% 38.42/6.23 thf(b1_type, type, b1: $i).
% 38.42/6.23 thf(b3_type, type, b3: $i).
% 38.42/6.23 thf(b2_type, type, b2: $i).
% 38.42/6.23 thf(multiply_type, type, multiply: $i > $i > $i).
% 38.42/6.23 thf(a3_type, type, a3: $i).
% 38.42/6.23 thf(c3_type, type, c3: $i).
% 38.42/6.23 thf(a2_type, type, a2: $i).
% 38.42/6.23 thf(a1_type, type, a1: $i).
% 38.42/6.23 thf(single_axiom, axiom,
% 38.42/6.23 (( multiply @
% 38.42/6.23 Z @
% 38.42/6.23 ( inverse @
% 38.42/6.23 ( multiply @
% 38.42/6.23 ( inverse @ ( multiply @ ( inverse @ ( multiply @ Z @ Y ) ) @ X ) ) @
% 38.42/6.23 ( inverse @ ( multiply @ Y @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) ) =
% 38.42/6.23 ( X ))).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl3, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ X3 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 38.42/6.23 X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl3, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ X3 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 38.42/6.23 X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl13, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl30, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 38.42/6.23 (multiply @ X4 @
% 38.42/6.23 (multiply @ X2 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))))))
% 38.42/6.23 = (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 38.42/6.23 X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl71, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 38.42/6.23 = (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 38.42/6.23 thf(zip_derived_cl3, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ X3 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 38.42/6.23 X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl123, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ X4 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0))) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl3])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl216, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((X0)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0))) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 38.42/6.23 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl316, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ X0 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (multiply @ X2 @ X0) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ X0)))))))
% 38.42/6.23 = (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl13, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl3345, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ (inverse @ X1)))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl216, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((X0)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0))) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 38.42/6.23 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl71, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 38.42/6.23 = (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 38.42/6.23 thf(zip_derived_cl71, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 38.42/6.23 = (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 38.42/6.23 thf(zip_derived_cl130, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl71])).
% 38.42/6.23 thf(zip_derived_cl309, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ X4 @
% 38.42/6.23 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 38.42/6.23 (multiply @ X4 @ X1))
% 38.42/6.23 = (multiply @ X0 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 38.42/6.23 (multiply @ X2 @ X0))) @
% 38.42/6.23 X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl130])).
% 38.42/6.23 thf(zip_derived_cl309, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ X4 @
% 38.42/6.23 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 38.42/6.23 (multiply @ X4 @ X1))
% 38.42/6.23 = (multiply @ X0 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 38.42/6.23 (multiply @ X2 @ X0))) @
% 38.42/6.23 X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl130])).
% 38.42/6.23 thf(zip_derived_cl534, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 38.42/6.23 (multiply @ X2 @ X1))) @
% 38.42/6.23 X0))
% 38.42/6.23 = (multiply @ X4 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 38.42/6.23 (multiply @ X5 @ X4))) @
% 38.42/6.23 X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl309, zip_derived_cl309])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(prove_these_axioms, conjecture,
% 38.42/6.23 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 38.42/6.23 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 38.42/6.23 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 38.42/6.23 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 38.42/6.23 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 38.42/6.23 thf(zf_stmt_0, negated_conjecture,
% 38.42/6.23 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 38.42/6.23 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 38.42/6.23 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 38.42/6.23 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 38.42/6.23 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 38.42/6.23 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 38.42/6.23 thf(zip_derived_cl1, plain,
% 38.42/6.23 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 38.42/6.23 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 38.42/6.23 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 38.42/6.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 38.42/6.23 thf(zip_derived_cl4365, plain,
% 38.42/6.23 (![X0 : $i]:
% 38.42/6.23 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 38.42/6.23 | ((multiply @ (inverse @ a1) @ a1)
% 38.42/6.23 != (multiply @ (inverse @ b1) @ b1))
% 38.42/6.23 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 38.42/6.23 inference('sup-', [status(thm)], [zip_derived_cl3809, zip_derived_cl1])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl4520, plain,
% 38.42/6.23 (![X0 : $i]:
% 38.42/6.23 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 38.42/6.23 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 38.42/6.23 inference('simplify_reflect+', [status(thm)],
% 38.42/6.23 [zip_derived_cl4365, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl3345, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ (inverse @ X1)))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl4360, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1)))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl3345])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl4518, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl4360, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl5229, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4518])).
% 38.42/6.23 thf(zip_derived_cl6612, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (multiply @ (inverse @ X1) @ X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl6979, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl6612, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl3, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ X3 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 38.42/6.23 X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl3812, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ X4 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 38.42/6.23 (multiply @ X5 @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))))) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))) @
% 38.42/6.23 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))))
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3])).
% 38.42/6.23 thf(zip_derived_cl3345, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ (inverse @ X1)))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl4100, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((X1)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl3812, zip_derived_cl3345, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl4594, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((X1)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4100])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl130, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl71])).
% 38.42/6.23 thf(zip_derived_cl13, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl233, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X4 @ (multiply @ X3 @ X0))) @
% 38.42/6.23 (multiply @ X4 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X2) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (multiply @ X3 @ X0) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 38.42/6.23 (multiply @ X1 @ X0))))))))
% 38.42/6.23 = (X2))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl8529, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @ (multiply @ X5 @ (multiply @ (inverse @ X0) @ X0))) @
% 38.42/6.23 (multiply @ X5 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (multiply @ (multiply @ (inverse @ X4) @ X4) @
% 38.42/6.23 (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X2) @ X2))) @
% 38.42/6.23 (multiply @ X3 @ (multiply @ (inverse @ X2) @ X2)))))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7253, zip_derived_cl233])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl130, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl71])).
% 38.42/6.23 thf(zip_derived_cl3824, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 38.42/6.23 = (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ X1 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ X1))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))) @
% 38.42/6.23 (multiply @ (inverse @ X4) @ X3)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl130])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl4112, plain,
% 38.42/6.23 (![X0 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (multiply @ (inverse @ X4) @ X3)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl3824, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl5229, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4518])).
% 38.42/6.23 thf(zip_derived_cl8892, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8529, zip_derived_cl7253, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7235, zip_derived_cl4112, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl9103, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl8892])).
% 38.42/6.23 thf(zip_derived_cl9262, plain,
% 38.42/6.23 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 38.42/6.23 | ((a2) != (a2)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl4520, zip_derived_cl9103])).
% 38.42/6.23 thf(zip_derived_cl9263, plain,
% 38.42/6.23 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 38.42/6.23 inference('simplify', [status(thm)], [zip_derived_cl9262])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl8892, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8529, zip_derived_cl7253, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7235, zip_derived_cl4112, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl3345, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ (inverse @ X1)))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl9101, plain,
% 38.42/6.23 (![X0 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (multiply @ (inverse @ (inverse @ X0)) @ (inverse @ X0))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl8892, zip_derived_cl3345])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl9261, plain,
% 38.42/6.23 (![X0 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl9101, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl9715, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl9261])).
% 38.42/6.23 thf(zip_derived_cl13, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl10328, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X0 @
% 38.42/6.23 (multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (multiply @ (inverse @ X2) @ X2))))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl9715, zip_derived_cl13])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl9715, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl9261])).
% 38.42/6.23 thf(zip_derived_cl10504, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl10328, zip_derived_cl7235, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7253, zip_derived_cl7235, zip_derived_cl9715])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl8892, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8529, zip_derived_cl7253, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7235, zip_derived_cl4112, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl216, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((X0)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0))) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 38.42/6.23 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl9098, plain,
% 38.42/6.23 (![X0 : $i]:
% 38.42/6.23 ((X0)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl8892, zip_derived_cl216])).
% 38.42/6.23 thf(zip_derived_cl9567, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((X1)
% 38.42/6.23 = (inverse @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl9098])).
% 38.42/6.23 thf(zip_derived_cl10769, plain,
% 38.42/6.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10504, zip_derived_cl9567])).
% 38.42/6.23 thf(zip_derived_cl9715, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl9261])).
% 38.42/6.23 thf(zip_derived_cl0, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ X1 @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 38.42/6.23 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 38.42/6.23 = (X0))),
% 38.42/6.23 inference('cnf', [status(esa)], [single_axiom])).
% 38.42/6.23 thf(zip_derived_cl10320, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X0 @ X1)) @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 38.42/6.23 (multiply @ (inverse @ X2) @ X2)))))))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl9715, zip_derived_cl0])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7253, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 38.42/6.23 (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl7235, zip_derived_cl3809])).
% 38.42/6.23 thf(zip_derived_cl7235, plain,
% 38.42/6.23 (![X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X2) @ X2)
% 38.42/6.23 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl6979, zip_derived_cl4594])).
% 38.42/6.23 thf(zip_derived_cl9715, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((inverse @
% 38.42/6.23 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0)))
% 38.42/6.23 = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl9261])).
% 38.42/6.23 thf(zip_derived_cl10501, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl10320, zip_derived_cl7235, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7253, zip_derived_cl7235, zip_derived_cl9715])).
% 38.42/6.23 thf(zip_derived_cl4112, plain,
% 38.42/6.23 (![X0 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 38.42/6.23 (multiply @ (inverse @ X4) @ X3)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl3824, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl8892, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8529, zip_derived_cl7253, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7235, zip_derived_cl4112, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl8911, plain,
% 38.42/6.23 (![X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X5 @ X4)) @ (multiply @ X5 @ X3))
% 38.42/6.23 = (multiply @ (inverse @ X4) @ X3))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl4112, zip_derived_cl8892])).
% 38.42/6.23 thf(zip_derived_cl10501, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl10320, zip_derived_cl7235, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7253, zip_derived_cl7235, zip_derived_cl9715])).
% 38.42/6.23 thf(zip_derived_cl3809, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl10504, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl10328, zip_derived_cl7235, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7253, zip_derived_cl7235, zip_derived_cl9715])).
% 38.42/6.23 thf(zip_derived_cl10802, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl3809, zip_derived_cl10504])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl130, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 38.42/6.23 (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl71])).
% 38.42/6.23 thf(zip_derived_cl3852, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X3) @ X5)) @
% 38.42/6.23 (multiply @ X1 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 38.42/6.23 (multiply @ X2 @ X1))) @
% 38.42/6.23 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 38.42/6.23 (multiply @ X4 @ X3)))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl130])).
% 38.42/6.23 thf(zip_derived_cl3634, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ X0) @ X0)
% 38.42/6.23 = (multiply @ X2 @
% 38.42/6.23 (multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 38.42/6.23 (multiply @ X3 @ X2))) @
% 38.42/6.23 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 38.42/6.23 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 38.42/6.23 thf(zip_derived_cl4140, plain,
% 38.42/6.23 (![X0 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X3) @ X5)) @
% 38.42/6.23 (multiply @ (inverse @ X0) @ X0))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 38.42/6.23 (multiply @ X4 @ X3)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl3852, zip_derived_cl3634])).
% 38.42/6.23 thf(zip_derived_cl10901, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (inverse @
% 38.42/6.23 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X2)) @
% 38.42/6.23 (multiply @ (inverse @ X3) @ X3))
% 38.42/6.23 = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10802, zip_derived_cl4140])).
% 38.42/6.23 thf(zip_derived_cl8892, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1) = (X1))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8529, zip_derived_cl7253, zip_derived_cl7253,
% 38.42/6.23 zip_derived_cl7235, zip_derived_cl4112, zip_derived_cl5229])).
% 38.42/6.23 thf(zip_derived_cl10802, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl3809, zip_derived_cl10504])).
% 38.42/6.23 thf(zip_derived_cl11027, plain,
% 38.42/6.23 (![X0 : $i, X2 : $i]:
% 38.42/6.23 ((inverse @ X2) = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl10901, zip_derived_cl8892, zip_derived_cl10802])).
% 38.42/6.23 thf(zip_derived_cl11386, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i]:
% 38.42/6.23 ((inverse @ (multiply @ X1 @ X0))
% 38.42/6.23 = (multiply @ (inverse @ X0) @ (inverse @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10501, zip_derived_cl11027])).
% 38.42/6.23 thf(zip_derived_cl12509, plain,
% 38.42/6.23 (![X3 : $i, X4 : $i, X5 : $i]:
% 38.42/6.23 ((multiply @ (multiply @ (inverse @ X4) @ (inverse @ X5)) @
% 38.42/6.23 (multiply @ X5 @ X3)) = (multiply @ (inverse @ X4) @ X3))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl8911, zip_derived_cl11386])).
% 38.42/6.23 thf(zip_derived_cl12537, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @
% 38.42/6.23 (multiply @ (inverse @ X2) @ (inverse @ (inverse @ X1))) @ X0)
% 38.42/6.23 = (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10501, zip_derived_cl12509])).
% 38.42/6.23 thf(zip_derived_cl10769, plain,
% 38.42/6.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10504, zip_derived_cl9567])).
% 38.42/6.23 thf(zip_derived_cl12584, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (multiply @ (inverse @ X2) @ X1) @ X0)
% 38.42/6.23 = (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl12537, zip_derived_cl10769])).
% 38.42/6.23 thf(zip_derived_cl12660, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 38.42/6.23 = (multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10769, zip_derived_cl12584])).
% 38.42/6.23 thf(zip_derived_cl10769, plain,
% 38.42/6.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 38.42/6.23 inference('sup+', [status(thm)],
% 38.42/6.23 [zip_derived_cl10504, zip_derived_cl9567])).
% 38.42/6.23 thf(zip_derived_cl12682, plain,
% 38.42/6.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 38.42/6.23 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 38.42/6.23 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl12660, zip_derived_cl10769])).
% 38.42/6.23 thf(zip_derived_cl12702, plain,
% 38.42/6.23 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 38.42/6.23 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 38.42/6.23 inference('demod', [status(thm)],
% 38.42/6.23 [zip_derived_cl9263, zip_derived_cl12682])).
% 38.42/6.23 thf(zip_derived_cl12703, plain, ($false),
% 38.42/6.23 inference('simplify', [status(thm)], [zip_derived_cl12702])).
% 38.42/6.23
% 38.42/6.23 % SZS output end Refutation
% 38.42/6.23
% 38.42/6.23
% 38.42/6.23 % Terminating...
% 39.29/6.30 % Runner terminated.
% 39.29/6.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------