TSTP Solution File: GRP500-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP500-1 : 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.PTOSxui9Sc true
% Computer : n010.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 01:51:53 EDT 2023
% Result : Unsatisfiable 9.78s 2.08s
% Output : Refutation 9.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PTOSxui9Sc true
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 20:34:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.78/2.08 % Solved by fo/fo7.sh.
% 9.78/2.08 % done 306 iterations in 1.287s
% 9.78/2.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.78/2.08 % SZS output start Refutation
% 9.78/2.08 thf(b2_type, type, b2: $i).
% 9.78/2.08 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.78/2.08 thf(inverse_type, type, inverse: $i > $i).
% 9.78/2.08 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 9.78/2.08 thf(a2_type, type, a2: $i).
% 9.78/2.08 thf(single_axiom, axiom,
% 9.78/2.08 (( double_divide @
% 9.78/2.08 ( inverse @ A ) @
% 9.78/2.08 ( inverse @
% 9.78/2.08 ( double_divide @
% 9.78/2.08 ( inverse @ ( double_divide @ A @ ( double_divide @ B @ C ) ) ) @
% 9.78/2.08 ( double_divide @ D @ ( double_divide @ B @ D ) ) ) ) ) =
% 9.78/2.08 ( C ))).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl4, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl64, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X6 @
% 9.78/2.08 (double_divide @ X5 @ (double_divide @ (inverse @ X6) @ X0)))) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X5 @ X4))) @
% 9.78/2.08 (double_divide @ X3 @ X1))) @
% 9.78/2.08 (double_divide @ X2 @ (double_divide @ X3 @ X2)))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl4, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl105, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X2 @ X4))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl219, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @ X6 @ (double_divide @ X2 @ X6))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X5 @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ (inverse @ X5) @ X0)))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X4 @ X3)))) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl105])).
% 9.78/2.08 thf(zip_derived_cl4, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl4, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl243, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @ X6 @ (double_divide @ X2 @ X6))))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl219, zip_derived_cl4, zip_derived_cl4,
% 9.78/2.08 zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl267, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X1 @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl342, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((double_divide @ X0 @ (double_divide @ (inverse @ X2) @ X0))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X1)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl466, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 9.78/2.08 = (double_divide @ X1 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X4 @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ (inverse @ X4) @ X0)))) @
% 9.78/2.08 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 9.78/2.08 X1)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl342])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl482, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl500, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X2) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl42, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl71, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X4 @
% 9.78/2.08 (double_divide @ X2 @ (double_divide @ (inverse @ X4) @ X0))))) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 9.78/2.08 = (double_divide @ X2 @ X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl1038, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ (inverse @ X2) @
% 9.78/2.08 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 9.78/2.08 = (double_divide @ X3 @ X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl71])).
% 9.78/2.08 thf(zip_derived_cl267, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X1 @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl1122, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1038, zip_derived_cl267])).
% 9.78/2.08 thf(zip_derived_cl1038, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ (inverse @ X2) @
% 9.78/2.08 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 9.78/2.08 = (double_divide @ X3 @ X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl71])).
% 9.78/2.08 thf(zip_derived_cl1183, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0))
% 9.78/2.08 = (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X3))) @ X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl1038])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl1625, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @
% 9.78/2.08 X0) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X4 @ X3))))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1183, zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl1122, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1038, zip_derived_cl267])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl0, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 9.78/2.08 = (X0))),
% 9.78/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 9.78/2.08 thf(zip_derived_cl1889, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ X0) @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X3 @ (double_divide @ X0 @ X3)))) @
% 9.78/2.08 X2)))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl1985, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1889, zip_derived_cl1707])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl1985, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1889, zip_derived_cl1707])).
% 9.78/2.08 thf(zip_derived_cl482, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl2004, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X2))
% 9.78/2.08 = (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X1) @ X1)) @ X0))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1985, zip_derived_cl482])).
% 9.78/2.08 thf(zip_derived_cl1038, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ (inverse @ X2) @
% 9.78/2.08 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 9.78/2.08 = (double_divide @ X3 @ X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl71])).
% 9.78/2.08 thf(zip_derived_cl3549, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @
% 9.78/2.08 (double_divide @ X3 @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))) @
% 9.78/2.08 X0)))))
% 9.78/2.08 = (double_divide @ X3 @ X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl2004, zip_derived_cl1038])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl1920, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X0)) @ X2))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl1707])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl482, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl1919, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((X0)
% 9.78/2.08 = (double_divide @ X1 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X2 @ (double_divide @ X0 @ X2)))) @
% 9.78/2.08 X1)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl482])).
% 9.78/2.08 thf(zip_derived_cl1920, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X0)) @ X2))
% 9.78/2.08 = (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl1707])).
% 9.78/2.08 thf(zip_derived_cl2831, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((X0)
% 9.78/2.08 = (double_divide @ X1 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X0)) @ X2)) @
% 9.78/2.08 X1)))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1919, zip_derived_cl1920])).
% 9.78/2.08 thf(zip_derived_cl3734, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @
% 9.78/2.08 (double_divide @ X3 @ X2)))
% 9.78/2.08 = (double_divide @ X3 @ X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl3549, zip_derived_cl1920, zip_derived_cl2831])).
% 9.78/2.08 thf(zip_derived_cl3814, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0))
% 9.78/2.08 = (double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ X3) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 9.78/2.08 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl3734])).
% 9.78/2.08 thf(zip_derived_cl88, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X0 @
% 9.78/2.08 (double_divide @ (inverse @ X5) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ (inverse @ (double_divide @ X5 @ X1)) @
% 9.78/2.08 (double_divide @ X4 @ (double_divide @ X0 @ X4))))))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl64, zip_derived_cl4, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl3868, plain,
% 9.78/2.08 (![X0 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0)) = (
% 9.78/2.08 X0))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl3814, zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl3974, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0)) @ X1))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1985, zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl267, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X1 @
% 9.78/2.08 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl4914, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (inverse @ (double_divide @ (inverse @ X1) @ X1))) @
% 9.78/2.08 X0)) @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl3974, zip_derived_cl267])).
% 9.78/2.08 thf(zip_derived_cl2004, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X2))
% 9.78/2.08 = (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X1) @ X1)) @ X0))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1985, zip_derived_cl482])).
% 9.78/2.08 thf(zip_derived_cl1985, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X1) @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1889, zip_derived_cl1707])).
% 9.78/2.08 thf(zip_derived_cl3868, plain,
% 9.78/2.08 (![X0 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0)) = (
% 9.78/2.08 X0))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl3814, zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl5022, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl4914, zip_derived_cl2004, zip_derived_cl1985,
% 9.78/2.08 zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl3974, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0)) @ X1))
% 9.78/2.08 = (X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl1985, zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl71, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.78/2.08 ((double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X4 @
% 9.78/2.08 (double_divide @ X2 @ (double_divide @ (inverse @ X4) @ X0))))) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 9.78/2.08 = (double_divide @ X2 @ X1))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 9.78/2.08 thf(zip_derived_cl482, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl42])).
% 9.78/2.08 thf(zip_derived_cl3868, plain,
% 9.78/2.08 (![X0 : $i, X4 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0)) = (
% 9.78/2.08 X0))),
% 9.78/2.08 inference('demod', [status(thm)], [zip_derived_cl3814, zip_derived_cl88])).
% 9.78/2.08 thf(zip_derived_cl3962, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))
% 9.78/2.08 = (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X2)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl2831, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((X0)
% 9.78/2.08 = (double_divide @ X1 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X0)) @ X2)) @
% 9.78/2.08 X1)))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1919, zip_derived_cl1920])).
% 9.78/2.08 thf(zip_derived_cl4051, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.78/2.08 ((X2)
% 9.78/2.08 = (double_divide @ (double_divide @ (inverse @ X3) @ X3) @
% 9.78/2.08 (inverse @
% 9.78/2.08 (double_divide @ X0 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @ X1 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X2)) @ X1)) @
% 9.78/2.08 X0)))))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl3962, zip_derived_cl2831])).
% 9.78/2.08 thf(zip_derived_cl2831, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.78/2.08 ((X0)
% 9.78/2.08 = (double_divide @ X1 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (double_divide @ X2 @
% 9.78/2.08 (double_divide @ (inverse @ (inverse @ X0)) @ X2)) @
% 9.78/2.08 X1)))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1919, zip_derived_cl1920])).
% 9.78/2.08 thf(zip_derived_cl4223, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i]:
% 9.78/2.08 ((X2)
% 9.78/2.08 = (double_divide @ (double_divide @ (inverse @ X3) @ X3) @
% 9.78/2.08 (inverse @ X2)))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl4051, zip_derived_cl2831])).
% 9.78/2.08 thf(zip_derived_cl4731, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((X1)
% 9.78/2.08 = (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 9.78/2.08 (inverse @ X1)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl4223])).
% 9.78/2.08 thf(zip_derived_cl5022, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl4914, zip_derived_cl2004, zip_derived_cl1985,
% 9.78/2.08 zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl5062, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((double_divide @ (inverse @ X0) @ X0)
% 9.78/2.08 = (double_divide @ X1 @ (inverse @ X1)))),
% 9.78/2.08 inference('sup+', [status(thm)], [zip_derived_cl4731, zip_derived_cl5022])).
% 9.78/2.08 thf(prove_these_axioms_2, conjecture,
% 9.78/2.08 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 9.78/2.08 thf(zf_stmt_0, negated_conjecture,
% 9.78/2.08 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 9.78/2.08 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 9.78/2.08 thf(zip_derived_cl2, plain,
% 9.78/2.08 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 9.78/2.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.78/2.08 thf(multiply, axiom,
% 9.78/2.08 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 9.78/2.08 thf(zip_derived_cl1, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('cnf', [status(esa)], [multiply])).
% 9.78/2.08 thf(zip_derived_cl1, plain,
% 9.78/2.08 (![X0 : $i, X1 : $i]:
% 9.78/2.08 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 9.78/2.08 inference('cnf', [status(esa)], [multiply])).
% 9.78/2.08 thf(zip_derived_cl3, plain,
% 9.78/2.08 (((inverse @
% 9.78/2.08 (double_divide @ a2 @
% 9.78/2.08 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 9.78/2.08 != (a2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 9.78/2.08 thf(zip_derived_cl5227, plain,
% 9.78/2.08 (![X0 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ a2 @
% 9.78/2.08 (inverse @ (double_divide @ (inverse @ X0) @ X0))))
% 9.78/2.08 != (a2))),
% 9.78/2.08 inference('sup-', [status(thm)], [zip_derived_cl5062, zip_derived_cl3])).
% 9.78/2.08 thf(zip_derived_cl5262, plain,
% 9.78/2.08 (![X0 : $i]:
% 9.78/2.08 ((inverse @
% 9.78/2.08 (double_divide @ a2 @ (double_divide @ (inverse @ X0) @ X0)))
% 9.78/2.08 != (a2))),
% 9.78/2.08 inference('sup-', [status(thm)], [zip_derived_cl3974, zip_derived_cl5227])).
% 9.78/2.08 thf(zip_derived_cl5281, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 9.78/2.08 inference('sup-', [status(thm)], [zip_derived_cl5022, zip_derived_cl5262])).
% 9.78/2.08 thf(zip_derived_cl1707, plain,
% 9.78/2.08 (![X2 : $i, X4 : $i, X5 : $i]:
% 9.78/2.08 ((double_divide @ X4 @
% 9.78/2.08 (double_divide @
% 9.78/2.08 (inverse @
% 9.78/2.08 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 9.78/2.08 X4))
% 9.78/2.08 = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1625, zip_derived_cl1122])).
% 9.78/2.08 thf(zip_derived_cl5022, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl4914, zip_derived_cl2004, zip_derived_cl1985,
% 9.78/2.08 zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl5022, plain,
% 9.78/2.08 (![X2 : $i, X3 : $i]:
% 9.78/2.08 ((double_divide @ X3 @ (double_divide @ X2 @ X3)) = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl4914, zip_derived_cl2004, zip_derived_cl1985,
% 9.78/2.08 zip_derived_cl3868])).
% 9.78/2.08 thf(zip_derived_cl5047, plain,
% 9.78/2.08 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl1707, zip_derived_cl5022, zip_derived_cl5022])).
% 9.78/2.08 thf(zip_derived_cl5295, plain, (((a2) != (a2))),
% 9.78/2.08 inference('demod', [status(thm)],
% 9.78/2.08 [zip_derived_cl5281, zip_derived_cl5047])).
% 9.78/2.08 thf(zip_derived_cl5296, plain, ($false),
% 9.78/2.08 inference('simplify', [status(thm)], [zip_derived_cl5295])).
% 9.78/2.08
% 9.78/2.08 % SZS output end Refutation
% 9.78/2.08
% 9.78/2.08
% 9.78/2.08 % Terminating...
% 9.78/2.18 % Runner terminated.
% 9.78/2.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------