TSTP Solution File: GRP404-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PxTSpyS9m4 true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:31 EDT 2023
% Result : Unsatisfiable 30.54s 5.17s
% Output : Refutation 30.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PxTSpyS9m4 true
% 0.14/0.35 % Computer : n026.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 00:20:20 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 30.54/5.17 % Solved by fo/fo7.sh.
% 30.54/5.17 % done 751 iterations in 4.371s
% 30.54/5.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.54/5.17 % SZS output start Refutation
% 30.54/5.17 thf(inverse_type, type, inverse: $i > $i).
% 30.54/5.17 thf(a2_type, type, a2: $i).
% 30.54/5.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 30.54/5.17 thf(b2_type, type, b2: $i).
% 30.54/5.17 thf(single_axiom, axiom,
% 30.54/5.17 (( multiply @
% 30.54/5.17 A @
% 30.54/5.17 ( inverse @
% 30.54/5.17 ( multiply @
% 30.54/5.17 ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) ) @
% 30.54/5.17 ( inverse @ ( multiply @ B @ ( multiply @ ( inverse @ B ) @ B ) ) ) ) ) ) =
% 30.54/5.17 ( C ))).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl3, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ X3 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X0) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 30.54/5.17 X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl3, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ X3 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X0) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 30.54/5.17 X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl13, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl30, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 30.54/5.17 (multiply @ X4 @
% 30.54/5.17 (multiply @ X2 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))))))
% 30.54/5.17 = (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 30.54/5.17 X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 30.54/5.17 thf(zip_derived_cl71, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 30.54/5.17 = (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 30.54/5.17 thf(zip_derived_cl3, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ X3 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X0) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 30.54/5.17 X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl123, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @ X4 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 30.54/5.17 (multiply @ X1 @ X0))) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl3])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl216, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((X0)
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 30.54/5.17 (multiply @ X1 @ X0))) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 30.54/5.17 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl316, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ X0 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (multiply @ X2 @ X0) @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @ X0)))))))
% 30.54/5.17 = (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl13, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl3345, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @ (inverse @ X1)))) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 30.54/5.17 thf(zip_derived_cl216, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((X0)
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 30.54/5.17 (multiply @ X1 @ X0))) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 30.54/5.17 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl71, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 30.54/5.17 = (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 30.54/5.17 thf(zip_derived_cl71, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 30.54/5.17 = (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 30.54/5.17 thf(zip_derived_cl130, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 30.54/5.17 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 30.54/5.17 (multiply @ X1 @ X0)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl71])).
% 30.54/5.17 thf(zip_derived_cl309, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ X4 @
% 30.54/5.17 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 30.54/5.17 (multiply @ X4 @ X1))
% 30.54/5.17 = (multiply @ X0 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 30.54/5.17 (multiply @ X2 @ X0))) @
% 30.54/5.17 X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl130])).
% 30.54/5.17 thf(zip_derived_cl309, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ X4 @
% 30.54/5.17 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 30.54/5.17 (multiply @ X4 @ X1))
% 30.54/5.17 = (multiply @ X0 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 30.54/5.17 (multiply @ X2 @ X0))) @
% 30.54/5.17 X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl130])).
% 30.54/5.17 thf(zip_derived_cl534, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 30.54/5.17 (multiply @ X2 @ X1))) @
% 30.54/5.17 X0))
% 30.54/5.17 = (multiply @ X4 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 30.54/5.17 (multiply @ X5 @ X4))) @
% 30.54/5.17 X0)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl309, zip_derived_cl309])).
% 30.54/5.17 thf(zip_derived_cl3634, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X0) @ X0)
% 30.54/5.17 = (multiply @ X2 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 30.54/5.17 (multiply @ X3 @ X2))) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 30.54/5.17 thf(zip_derived_cl3634, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X0) @ X0)
% 30.54/5.17 = (multiply @ X2 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 30.54/5.17 (multiply @ X3 @ X2))) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl3345, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @ (inverse @ X1)))) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 30.54/5.17 thf(zip_derived_cl4360, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @
% 30.54/5.17 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1)))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl3345])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl4518, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl4360, zip_derived_cl3809])).
% 30.54/5.17 thf(zip_derived_cl4863, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4518])).
% 30.54/5.17 thf(zip_derived_cl5229, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 30.54/5.17 = (multiply @ (inverse @ X1) @ X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4863])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl5663, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl5229, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl3634, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X0) @ X0)
% 30.54/5.17 = (multiply @ X2 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 30.54/5.17 (multiply @ X3 @ X2))) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 30.54/5.17 thf(zip_derived_cl3, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ X3 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X0) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 30.54/5.17 X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl3812, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.54/5.17 ((multiply @ X4 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 30.54/5.17 (multiply @ X5 @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))))) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))) @
% 30.54/5.17 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))))
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3])).
% 30.54/5.17 thf(zip_derived_cl3345, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @ (inverse @ X1)))) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl13])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl4100, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((X1)
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl3812, zip_derived_cl3345, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl4623, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((X1)
% 30.54/5.17 = (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4100])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl3634, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X0) @ X0)
% 30.54/5.17 = (multiply @ X2 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 30.54/5.17 (multiply @ X3 @ X2))) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 30.54/5.17 thf(prove_these_axioms_2, conjecture,
% 30.54/5.17 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 30.54/5.17 thf(zf_stmt_0, negated_conjecture,
% 30.54/5.17 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 30.54/5.17 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 30.54/5.17 thf(zip_derived_cl1, plain,
% 30.54/5.17 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 30.54/5.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.54/5.17 thf(zip_derived_cl3954, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (multiply @ X1 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 30.54/5.17 (multiply @ X2 @ X1))) @
% 30.54/5.17 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))) @
% 30.54/5.17 a2) != (a2))),
% 30.54/5.17 inference('sup-', [status(thm)], [zip_derived_cl3634, zip_derived_cl1])).
% 30.54/5.17 thf(zip_derived_cl3634, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X0) @ X0)
% 30.54/5.17 = (multiply @ X2 @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 30.54/5.17 (multiply @ X3 @ X2))) @
% 30.54/5.17 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3345, zip_derived_cl534])).
% 30.54/5.17 thf(zip_derived_cl4231, plain,
% 30.54/5.17 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl3954, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl6190, plain,
% 30.54/5.17 (![X0 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ a2)
% 30.54/5.17 != (a2))),
% 30.54/5.17 inference('sup-', [status(thm)], [zip_derived_cl5892, zip_derived_cl4231])).
% 30.54/5.17 thf(zip_derived_cl6325, plain,
% 30.54/5.17 (![X0 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ a2)
% 30.54/5.17 != (a2))),
% 30.54/5.17 inference('sup-', [status(thm)], [zip_derived_cl5892, zip_derived_cl6190])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl6009, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 30.54/5.17 (multiply @ (inverse @ X2) @ X2))
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl5892, zip_derived_cl5892])).
% 30.54/5.17 thf(zip_derived_cl0, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ X1 @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 30.54/5.17 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 30.54/5.17 = (X0))),
% 30.54/5.17 inference('cnf', [status(esa)], [single_axiom])).
% 30.54/5.17 thf(zip_derived_cl8812, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.54/5.17 ((multiply @ (multiply @ (inverse @ X3) @ X3) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @
% 30.54/5.17 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X1)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 30.54/5.17 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 30.54/5.17 (multiply @ (inverse @ X2) @ X2)))))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl6009, zip_derived_cl0])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl3809, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3634, zip_derived_cl3634])).
% 30.54/5.17 thf(zip_derived_cl6014, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 30.54/5.17 (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl5892, zip_derived_cl3809])).
% 30.54/5.17 thf(zip_derived_cl6014, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 30.54/5.17 (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl5892, zip_derived_cl3809])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl5892, plain,
% 30.54/5.17 (![X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ X2) @ X2)
% 30.54/5.17 = (inverse @ (multiply @ (inverse @ X1) @ X1)))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl5663, zip_derived_cl4623])).
% 30.54/5.17 thf(zip_derived_cl4863, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl3809, zip_derived_cl4518])).
% 30.54/5.17 thf(zip_derived_cl6081, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.54/5.17 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 30.54/5.17 (inverse @
% 30.54/5.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X2) @ X2))))
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('sup+', [status(thm)], [zip_derived_cl5892, zip_derived_cl4863])).
% 30.54/5.17 thf(zip_derived_cl9055, plain,
% 30.54/5.17 (![X0 : $i, X1 : $i]:
% 30.54/5.17 ((multiply @
% 30.54/5.17 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X1)
% 30.54/5.17 = (X1))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl8812, zip_derived_cl5892, zip_derived_cl6014,
% 30.54/5.17 zip_derived_cl6014, zip_derived_cl5892, zip_derived_cl6081])).
% 30.54/5.17 thf(zip_derived_cl9078, plain, (((a2) != (a2))),
% 30.54/5.17 inference('demod', [status(thm)],
% 30.54/5.17 [zip_derived_cl6325, zip_derived_cl9055])).
% 30.54/5.17 thf(zip_derived_cl9079, plain, ($false),
% 30.54/5.17 inference('simplify', [status(thm)], [zip_derived_cl9078])).
% 30.54/5.17
% 30.54/5.17 % SZS output end Refutation
% 30.54/5.17
% 30.54/5.17
% 30.54/5.18 % Terminating...
% 32.60/5.32 % Runner terminated.
% 32.60/5.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------