TSTP Solution File: GRP416-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ppIa7N0OP5 true
% Computer : n001.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 01:51:33 EDT 2023
% Result : Unsatisfiable 15.25s 2.83s
% Output : Refutation 15.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ppIa7N0OP5 true
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:07:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.25/2.83 % Solved by fo/fo7.sh.
% 15.25/2.83 % done 415 iterations in 2.080s
% 15.25/2.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.25/2.83 % SZS output start Refutation
% 15.25/2.83 thf(a2_type, type, a2: $i).
% 15.25/2.83 thf(inverse_type, type, inverse: $i > $i).
% 15.25/2.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 15.25/2.83 thf(b2_type, type, b2: $i).
% 15.25/2.83 thf(single_axiom, axiom,
% 15.25/2.83 (( inverse @
% 15.25/2.83 ( multiply @
% 15.25/2.83 A @
% 15.25/2.83 ( inverse @
% 15.25/2.83 ( multiply @
% 15.25/2.83 ( inverse @
% 15.25/2.83 ( multiply @
% 15.25/2.83 ( inverse @ ( multiply @ B @ A ) ) @
% 15.25/2.83 ( multiply @ B @ ( inverse @ C ) ) ) ) @
% 15.25/2.83 ( inverse @ ( multiply @ ( inverse @ A ) @ A ) ) ) ) ) ) =
% 15.25/2.83 ( C ))).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl2, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 15.25/2.83 (multiply @ X4 @ X0))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 15.25/2.83 = (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl25, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl69, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 15.25/2.83 = (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl2, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 15.25/2.83 (multiply @ X4 @ X0))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 15.25/2.83 = (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl14, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ X1))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl126, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 15.25/2.83 thf(zip_derived_cl69, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 15.25/2.83 = (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl124, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1))))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl228, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X0))))))) @
% 15.25/2.83 X2)) @
% 15.25/2.83 X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X2) @ X2))))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl683, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl228])).
% 15.25/2.83 thf(zip_derived_cl69, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X3 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 15.25/2.83 = (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl25, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl103, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 15.25/2.83 thf(zip_derived_cl788, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 15.25/2.83 = (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl103])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl103, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 15.25/2.83 thf(zip_derived_cl196, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 15.25/2.83 = (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 15.25/2.83 (multiply @ X3 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 15.25/2.83 (inverse @ (multiply @ X2 @ X1)))))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 15.25/2.83 thf(zip_derived_cl25, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl1121, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl25])).
% 15.25/2.83 thf(zip_derived_cl1668, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (multiply @ (inverse @ X0) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl1121])).
% 15.25/2.83 thf(zip_derived_cl196, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 15.25/2.83 = (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 15.25/2.83 (multiply @ X3 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 15.25/2.83 (inverse @ (multiply @ X2 @ X1)))))))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl1118, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl1716, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl1668, zip_derived_cl1118])).
% 15.25/2.83 thf(zip_derived_cl1716, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl1668, zip_derived_cl1118])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl0, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ X1 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ X0)))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X0))),
% 15.25/2.83 inference('cnf', [status(esa)], [single_axiom])).
% 15.25/2.83 thf(zip_derived_cl2289, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1)))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl2411, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl2289, zip_derived_cl2056])).
% 15.25/2.83 thf(zip_derived_cl2767, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 15.25/2.83 thf(zip_derived_cl2767, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 15.25/2.83 thf(zip_derived_cl3235, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X2) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 15.25/2.83 = (X2))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2767, zip_derived_cl2767])).
% 15.25/2.83 thf(zip_derived_cl2767, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X1) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 15.25/2.83 thf(zip_derived_cl3278, plain,
% 15.25/2.83 (![X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 15.25/2.83 = (X2))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl3235, zip_derived_cl2767])).
% 15.25/2.83 thf(zip_derived_cl3451, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl3451, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl25, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @ X0 @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 15.25/2.83 thf(zip_derived_cl2292, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (inverse @ X1)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (inverse @ (inverse @ X1))) @
% 15.25/2.83 (inverse @ (inverse @ X1)))))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl25])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl2413, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (inverse @ X1)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl2292, zip_derived_cl2056])).
% 15.25/2.83 thf(zip_derived_cl3698, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (inverse @ X1)) @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl3451, zip_derived_cl2413])).
% 15.25/2.83 thf(zip_derived_cl3451, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl3278, plain,
% 15.25/2.83 (![X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 15.25/2.83 = (X2))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl3235, zip_derived_cl2767])).
% 15.25/2.83 thf(zip_derived_cl3917, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (inverse @ X1)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl3698, zip_derived_cl3451, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl4444, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (inverse @ X1)) @
% 15.25/2.83 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) = (
% 15.25/2.83 X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl3451, zip_derived_cl3917])).
% 15.25/2.83 thf(zip_derived_cl126, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 15.25/2.83 thf(zip_derived_cl4943, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ (inverse @ (inverse @ X0)) @ (inverse @ X1))) @
% 15.25/2.83 X0)) @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1)))))
% 15.25/2.83 = (X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl4444, zip_derived_cl126])).
% 15.25/2.83 thf(zip_derived_cl2056, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl3451, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl3278, plain,
% 15.25/2.83 (![X2 : $i, X3 : $i]:
% 15.25/2.83 ((inverse @
% 15.25/2.83 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 15.25/2.83 = (X2))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl3235, zip_derived_cl2767])).
% 15.25/2.83 thf(zip_derived_cl5032, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @ (multiply @ (inverse @ (inverse @ X0)) @ (inverse @ X1))) @
% 15.25/2.83 X0) = (X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl4943, zip_derived_cl2056, zip_derived_cl3451,
% 15.25/2.83 zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl3451, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl3278])).
% 15.25/2.83 thf(zip_derived_cl1716, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl1668, zip_derived_cl1118])).
% 15.25/2.83 thf(prove_these_axioms_2, conjecture,
% 15.25/2.83 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 15.25/2.83 thf(zf_stmt_0, negated_conjecture,
% 15.25/2.83 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 15.25/2.83 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 15.25/2.83 thf(zip_derived_cl1, plain,
% 15.25/2.83 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 15.25/2.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.25/2.83 thf(zip_derived_cl1999, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 a2) != (a2))),
% 15.25/2.83 inference('sup-', [status(thm)], [zip_derived_cl1716, zip_derived_cl1])).
% 15.25/2.83 thf(zip_derived_cl1716, plain,
% 15.25/2.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.25/2.83 ((multiply @
% 15.25/2.83 (inverse @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 15.25/2.83 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 15.25/2.83 = (multiply @ (inverse @ X1) @ X1))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl1668, zip_derived_cl1118])).
% 15.25/2.83 thf(zip_derived_cl2202, plain,
% 15.25/2.83 (![X1 : $i]: ((multiply @ (multiply @ (inverse @ X1) @ X1) @ a2) != (a2))),
% 15.25/2.83 inference('demod', [status(thm)],
% 15.25/2.83 [zip_derived_cl1999, zip_derived_cl1716])).
% 15.25/2.83 thf(zip_derived_cl3675, plain,
% 15.25/2.83 (![X0 : $i]:
% 15.25/2.83 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ a2)
% 15.25/2.83 != (a2))),
% 15.25/2.83 inference('sup-', [status(thm)], [zip_derived_cl3451, zip_derived_cl2202])).
% 15.25/2.83 thf(zip_derived_cl5147, plain, (((a2) != (a2))),
% 15.25/2.83 inference('sup-', [status(thm)], [zip_derived_cl5032, zip_derived_cl3675])).
% 15.25/2.83 thf(zip_derived_cl5200, plain, ($false),
% 15.25/2.83 inference('simplify', [status(thm)], [zip_derived_cl5147])).
% 15.25/2.83
% 15.25/2.83 % SZS output end Refutation
% 15.25/2.83
% 15.25/2.83
% 15.25/2.83 % Terminating...
% 16.07/2.98 % Runner terminated.
% 16.07/2.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------