%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP502-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eo7AN5iNya true
% Computer : n005.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 Oct 2 04:36:34 PM UTC 2025
% Result : Unsatisfiable 23.86s 4.04s
% Output : Refutation 23.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP502-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eo7AN5iNya true
% 0.14/0.35 % Computer : n005.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 : Wed Oct 1 14:08:08 EDT 2025
% 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
% 0.57/0.69 % Total configuration time : 435
% 0.57/0.69 % Estimated wc time : 1092
% 0.57/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.86/4.04 % Solved by fo/fo7.sh.
% 23.86/4.04 % done 307 iterations in 3.204s
% 23.86/4.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.86/4.04 % SZS output start Refutation
% 23.86/4.04 thf(inverse_type, type, inverse: $i > $i).
% 23.86/4.04 thf(a1_type, type, a1: $i).
% 23.86/4.04 thf(multiply_type, type, multiply: $i > $i > $i).
% 23.86/4.04 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 23.86/4.04 thf(b1_type, type, b1: $i).
% 23.86/4.04 thf(single_axiom, axiom,
% 23.86/4.04 (( double_divide @
% 23.86/4.04 ( double_divide @ A @ ( inverse @ ( double_divide @ B @ C ) ) ) @
% 23.86/4.04 ( double_divide @
% 23.86/4.04 ( inverse @ B ) @
% 23.86/4.04 ( inverse @ ( double_divide @ D @ ( double_divide @ A @ D ) ) ) ) ) =
% 23.86/4.04 ( C ))).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl4, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ X5 @ (inverse @ X0)) @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X0)))) @
% 23.86/4.04 (inverse @ (double_divide @ X4 @ (double_divide @ X5 @ X4)))))
% 23.86/4.04 = (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl4, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ X5 @ (inverse @ X0)) @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X0)))) @
% 23.86/4.04 (inverse @ (double_divide @ X4 @ (double_divide @ X5 @ X4)))))
% 23.86/4.04 = (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl46, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 23.86/4.04 = (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl74, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))) @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X4 @ (double_divide @ (inverse @ X2) @ X4)))))
% 23.86/4.04 = (double_divide @ X1 @ X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl4, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ X5 @ (inverse @ X0)) @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X0)))) @
% 23.86/4.04 (inverse @ (double_divide @ X4 @ (double_divide @ X5 @ X4)))))
% 23.86/4.04 = (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl214, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @ X1 @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ X1 @ X0))))))
% 23.86/4.04 = (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X4)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl4])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl288, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X3))) @ X2)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))))
% 23.86/4.04 = (X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl361, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X4 @ (inverse @ (double_divide @ X3 @ X0))) @
% 23.86/4.04 X4) @
% 23.86/4.04 X1))) @
% 23.86/4.04 X0) = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl0, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 23.86/4.04 = (X0))),
% 23.86/4.04 inference('cnf', [status(esa)], [single_axiom])).
% 23.86/4.04 thf(zip_derived_cl5, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X3 @ (inverse @ (double_divide @ X4 @ X0))) @
% 23.86/4.04 (inverse @ (double_divide @ X5 @ X1))) @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X4) @
% 23.86/4.04 (inverse @ (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 23.86/4.04 X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl431, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X4 @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X3 @ (inverse @ (double_divide @ X5 @ X1))))) @
% 23.86/4.04 X4)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 23.86/4.04 X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl361, zip_derived_cl5])).
% 23.86/4.04 thf(zip_derived_cl288, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X3))) @ X2)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))))
% 23.86/4.04 = (X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl469, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @ X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl288])).
% 23.86/4.04 thf(zip_derived_cl469, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @ X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl288])).
% 23.86/4.04 thf(zip_derived_cl482, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @ X3 @
% 23.86/4.04 (double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ X3))))
% 23.86/4.04 = (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl469, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @ X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl288])).
% 23.86/4.04 thf(zip_derived_cl731, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl288, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X3))) @ X2)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))))
% 23.86/4.04 = (X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl74, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))) @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X4 @ (double_divide @ (inverse @ X2) @ X4)))))
% 23.86/4.04 = (double_divide @ X1 @ X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl368, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X5 @ (double_divide @ X3 @ X5)))) @
% 23.86/4.04 X0)
% 23.86/4.04 = (double_divide @ X3 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl74])).
% 23.86/4.04 thf(zip_derived_cl368, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X5 @ (double_divide @ X3 @ X5)))) @
% 23.86/4.04 X0)
% 23.86/4.04 = (double_divide @ X3 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X1 @ (inverse @ (double_divide @ X2 @ X0))) @
% 23.86/4.04 X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl74])).
% 23.86/4.04 thf(zip_derived_cl1749, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @ X3 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X0 @ (inverse @ (double_divide @ X2 @ X1))) @ X0))
% 23.86/4.04 = (double_divide @ X3 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X4 @ (inverse @ (double_divide @ X2 @ X1))) @
% 23.86/4.04 X4)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl368, zip_derived_cl368])).
% 23.86/4.04 thf(zip_derived_cl2006, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X4 @
% 23.86/4.04 (double_divide @ (double_divide @ X5 @ (inverse @ X0)) @ X5))
% 23.86/4.04 = (double_divide @ X4 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X1 @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ X2))))))) @
% 23.86/4.04 X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl731, zip_derived_cl1749])).
% 23.86/4.04 thf(zip_derived_cl731, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl2070, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X4 @
% 23.86/4.04 (double_divide @ (double_divide @ X5 @ (inverse @ X0)) @ X5))
% 23.86/4.04 = (double_divide @ X4 @
% 23.86/4.04 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @ X1)))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl2006, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl288, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X3))) @ X2)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))))
% 23.86/4.04 = (X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl731, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl994, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X0))) @ X3) @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @ (inverse @ X1)) @ X0))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl2721, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (inverse @ X3)))) @
% 23.86/4.04 X2) @
% 23.86/4.04 (double_divide @ (double_divide @ X0 @ (inverse @ X1)) @ X0)) = (
% 23.86/4.04 X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl2070, zip_derived_cl994])).
% 23.86/4.04 thf(zip_derived_cl74, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))) @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X4 @ (double_divide @ (inverse @ X2) @ X4)))))
% 23.86/4.04 = (double_divide @ X1 @ X3))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl731, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl987, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl2964, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ X1 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (inverse @ X3)))) @
% 23.86/4.04 X2) @
% 23.86/4.04 (inverse @ X0)) @
% 23.86/4.04 X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl987])).
% 23.86/4.04 thf(zip_derived_cl987, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl214, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @ X1 @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ X1 @ X0))))))
% 23.86/4.04 = (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X4)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl4])).
% 23.86/4.04 thf(zip_derived_cl1044, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @ X4 @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))
% 23.86/4.04 = (double_divide @ (inverse @ (double_divide @ X4 @ X1)) @
% 23.86/4.04 (inverse @ (double_divide @ X2 @ (double_divide @ X3 @ X2)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl987, zip_derived_cl214])).
% 23.86/4.04 thf(zip_derived_cl4240, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @ (double_divide @ X5 @ (double_divide @ X4 @ X5))) @
% 23.86/4.04 X4)) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ X1 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (inverse @ X3)))) @
% 23.86/4.04 X2) @
% 23.86/4.04 (inverse @ X0)) @
% 23.86/4.04 X1)))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl2964, zip_derived_cl1044])).
% 23.86/4.04 thf(zip_derived_cl469, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @ X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl288])).
% 23.86/4.04 thf(zip_derived_cl482, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @ X3 @
% 23.86/4.04 (double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ X3))))
% 23.86/4.04 = (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl469, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X5 : $i]:
% 23.86/4.04 ((double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X5) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @ X0))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl288])).
% 23.86/4.04 thf(zip_derived_cl759, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (inverse @ (double_divide @ X2 @ (double_divide @ X0 @ X1))) @ X0)))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl1209, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X2))))
% 23.86/4.04 = (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl759])).
% 23.86/4.04 thf(zip_derived_cl1209, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X2))))
% 23.86/4.04 = (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl759])).
% 23.86/4.04 thf(zip_derived_cl2964, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ X1 @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X2 @
% 23.86/4.04 (inverse @ (double_divide @ X3 @ (inverse @ X3)))) @
% 23.86/4.04 X2) @
% 23.86/4.04 (inverse @ X0)) @
% 23.86/4.04 X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl2721, zip_derived_cl987])).
% 23.86/4.04 thf(zip_derived_cl4308, plain,
% 23.86/4.04 (![X0 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X4) @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X5)) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X5) @ (inverse @ X4))))) @
% 23.86/4.04 (inverse @ X0)))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl4240, zip_derived_cl1209, zip_derived_cl1209,
% 23.86/4.04 zip_derived_cl2964])).
% 23.86/4.04 thf(zip_derived_cl4308, plain,
% 23.86/4.04 (![X0 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X4) @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X5)) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X5) @ (inverse @ X4))))) @
% 23.86/4.04 (inverse @ X0)))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl4240, zip_derived_cl1209, zip_derived_cl1209,
% 23.86/4.04 zip_derived_cl2964])).
% 23.86/4.04 thf(zip_derived_cl731, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X2 @
% 23.86/4.04 (double_divide @ X0 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 23.86/4.04 = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl469])).
% 23.86/4.04 thf(zip_derived_cl987, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl1118, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ X3)))) @
% 23.86/4.04 X0) = (double_divide @ X1 @ (double_divide @ X2 @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl731, zip_derived_cl987])).
% 23.86/4.04 thf(zip_derived_cl4695, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ X1 @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4308, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl987, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl987, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X0 @ (double_divide @ X1 @ X0))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl731])).
% 23.86/4.04 thf(zip_derived_cl1027, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ X1 @ X3) @
% 23.86/4.04 (double_divide @ X0 @ (double_divide @ X1 @ X0)))
% 23.86/4.04 = (double_divide @ X2 @ (double_divide @ X3 @ X2)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl987, zip_derived_cl987])).
% 23.86/4.04 thf(zip_derived_cl4784, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ X2 @ (inverse @ (inverse @ X0))) @
% 23.86/4.04 (double_divide @ X1 @ (double_divide @ X2 @ X1))) = (X0))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4695, zip_derived_cl1027])).
% 23.86/4.04 thf(zip_derived_cl5118, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X3)) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X3) @ (inverse @ X2))))) @
% 23.86/4.04 (inverse @ (inverse @ X1))) @
% 23.86/4.04 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4308, zip_derived_cl4784])).
% 23.86/4.04 thf(zip_derived_cl4308, plain,
% 23.86/4.04 (![X0 : $i, X4 : $i, X5 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X4) @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X5)) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X5) @ (inverse @ X4))))) @
% 23.86/4.04 (inverse @ X0)))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl4240, zip_derived_cl1209, zip_derived_cl1209,
% 23.86/4.04 zip_derived_cl2964])).
% 23.86/4.04 thf(zip_derived_cl5145, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5118, zip_derived_cl4308])).
% 23.86/4.04 thf(zip_derived_cl4695, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ X1 @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4308, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl5216, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ (double_divide @ (inverse @ X1) @ X1) @
% 23.86/4.04 (inverse @ X0)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl5145, zip_derived_cl4695])).
% 23.86/4.04 thf(zip_derived_cl361, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X3) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @
% 23.86/4.04 (double_divide @ X4 @ (inverse @ (double_divide @ X3 @ X0))) @
% 23.86/4.04 X4) @
% 23.86/4.04 X1))) @
% 23.86/4.04 X0) = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl0])).
% 23.86/4.04 thf(zip_derived_cl5288, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2))) @
% 23.86/4.04 X0) = (X2))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl5216, zip_derived_cl361])).
% 23.86/4.04 thf(zip_derived_cl1209, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X2))))
% 23.86/4.04 = (inverse @
% 23.86/4.04 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl759])).
% 23.86/4.04 thf(zip_derived_cl1118, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.86/4.04 ((double_divide @
% 23.86/4.04 (double_divide @ X3 @
% 23.86/4.04 (double_divide @ (inverse @ X2) @
% 23.86/4.04 (inverse @ (double_divide @ (inverse @ X0) @ X3)))) @
% 23.86/4.04 X0) = (double_divide @ X1 @ (double_divide @ X2 @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl731, zip_derived_cl987])).
% 23.86/4.04 thf(zip_derived_cl5319, plain,
% 23.86/4.04 (![X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X1 @ (double_divide @ X2 @ X1)) = (X2))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5288, zip_derived_cl1209, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl4695, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((X0)
% 23.86/4.04 = (double_divide @ X1 @
% 23.86/4.04 (double_divide @ (inverse @ (inverse @ X0)) @ X1)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl4308, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl5345, plain,
% 23.86/4.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl5319, zip_derived_cl4695])).
% 23.86/4.04 thf(zip_derived_cl5145, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5118, zip_derived_cl4308])).
% 23.86/4.04 thf(zip_derived_cl5394, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (double_divide @ X0 @ (inverse @ X0))) = (X1))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl5345, zip_derived_cl5145])).
% 23.86/4.04 thf(zip_derived_cl5145, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((double_divide @ (inverse @ X1) @
% 23.86/4.04 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5118, zip_derived_cl4308])).
% 23.86/4.04 thf(zip_derived_cl5319, plain,
% 23.86/4.04 (![X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X1 @ (double_divide @ X2 @ X1)) = (X2))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5288, zip_derived_cl1209, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl5376, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((double_divide @ (double_divide @ (inverse @ X1) @ X1) @ X0)
% 23.86/4.04 = (inverse @ X0))),
% 23.86/4.04 inference('sup+', [status(thm)], [zip_derived_cl5145, zip_derived_cl5319])).
% 23.86/4.04 thf(prove_these_axioms_1, conjecture,
% 23.86/4.04 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 23.86/4.04 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 23.86/4.04 thf(zf_stmt_0, negated_conjecture,
% 23.86/4.04 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 23.86/4.04 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 23.86/4.04 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 23.86/4.04 thf(zip_derived_cl2, plain,
% 23.86/4.04 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 23.86/4.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.86/4.04 thf(multiply, axiom,
% 23.86/4.04 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 23.86/4.04 thf(zip_derived_cl1, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.86/4.04 inference('cnf', [status(esa)], [multiply])).
% 23.86/4.04 thf(zip_derived_cl1, plain,
% 23.86/4.04 (![X0 : $i, X1 : $i]:
% 23.86/4.04 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 23.86/4.04 inference('cnf', [status(esa)], [multiply])).
% 23.86/4.04 thf(zip_derived_cl3, plain,
% 23.86/4.04 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 23.86/4.04 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 23.86/4.04 thf(zip_derived_cl5583, plain,
% 23.86/4.04 (![X0 : $i]:
% 23.86/4.04 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 23.86/4.04 != (inverse @
% 23.86/4.04 (double_divide @ b1 @
% 23.86/4.04 (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ b1))))),
% 23.86/4.04 inference('sup-', [status(thm)], [zip_derived_cl5376, zip_derived_cl3])).
% 23.86/4.04 thf(zip_derived_cl5319, plain,
% 23.86/4.04 (![X1 : $i, X2 : $i]:
% 23.86/4.04 ((double_divide @ X1 @ (double_divide @ X2 @ X1)) = (X2))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5288, zip_derived_cl1209, zip_derived_cl1118])).
% 23.86/4.04 thf(zip_derived_cl5606, plain,
% 23.86/4.04 (![X0 : $i]:
% 23.86/4.04 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 23.86/4.04 != (inverse @ (double_divide @ (inverse @ X0) @ X0)))),
% 23.86/4.04 inference('demod', [status(thm)],
% 23.86/4.04 [zip_derived_cl5583, zip_derived_cl5319])).
% 23.86/4.04 thf(zip_derived_cl5665, plain,
% 23.86/4.04 (![X0 : $i]:
% 23.86/4.04 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 23.86/4.04 != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 23.86/4.04 inference('sup-', [status(thm)], [zip_derived_cl5394, zip_derived_cl5606])).
% 23.86/4.04 thf(zip_derived_cl5687, plain, ($false),
% 23.86/4.04 inference('eq_res', [status(thm)], [zip_derived_cl5665])).
% 23.86/4.04
% 23.86/4.04 % SZS output end Refutation
% 23.86/4.04
% 23.86/4.04
% 23.86/4.04 % Terminating...
% 23.86/4.12 % Runner terminated.
% 23.86/4.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------