TSTP Solution File: GRP082-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP082-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iccmHfyyeI true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:51 EDT 2023
% Result : Unsatisfiable 36.16s 5.90s
% Output : Refutation 36.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP082-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iccmHfyyeI true
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:04:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 36.16/5.90 % Solved by fo/fo4.sh.
% 36.16/5.90 % done 760 iterations in 5.107s
% 36.16/5.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.16/5.90 % SZS output start Refutation
% 36.16/5.90 thf(a3_type, type, a3: $i).
% 36.16/5.90 thf(a1_type, type, a1: $i).
% 36.16/5.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 36.16/5.90 thf(inverse_type, type, inverse: $i > $i).
% 36.16/5.90 thf(c3_type, type, c3: $i).
% 36.16/5.90 thf(a2_type, type, a2: $i).
% 36.16/5.90 thf(b2_type, type, b2: $i).
% 36.16/5.90 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 36.16/5.90 thf(b1_type, type, b1: $i).
% 36.16/5.90 thf(b3_type, type, b3: $i).
% 36.16/5.90 thf(single_axiom, axiom,
% 36.16/5.90 (( double_divide @
% 36.16/5.90 ( inverse @ X ) @
% 36.16/5.90 ( inverse @
% 36.16/5.90 ( double_divide @
% 36.16/5.90 ( inverse @ ( double_divide @ X @ ( double_divide @ Y @ Z ) ) ) @
% 36.16/5.90 ( double_divide @ U @ ( double_divide @ Y @ U ) ) ) ) ) =
% 36.16/5.90 ( Z ))).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl4, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X5) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 36.16/5.90 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl130, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X4 @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ (inverse @ X4) @ X0))))) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 36.16/5.90 = (double_divide @ X2 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl4, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X5) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X5 @ X0)) @
% 36.16/5.90 (double_divide @ X4 @ (double_divide @ (inverse @ X3) @ X4)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl29, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (double_divide @ (inverse @ X3) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl188, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @
% 36.16/5.90 (double_divide @ X4 @ (double_divide @ (inverse @ X5) @ X0)))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X4 @ X3)))) @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl29])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl209, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @ X0 @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl230, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 36.16/5.90 (double_divide @ X4 @ (double_divide @ X2 @ X4))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl369, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ X2 @ X6))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @
% 36.16/5.90 (double_divide @ X4 @ (double_divide @ (inverse @ X5) @ X0)))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X4 @ X3)))) @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl230])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl396, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ X2 @ X6))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl369, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl421, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X1 @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl209, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @ X0 @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl666, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ (inverse @ X2) @ X0))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl421, zip_derived_cl209])).
% 36.16/5.90 thf(zip_derived_cl829, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X4 @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ (inverse @ X4) @ X0)))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl666])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl851, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl209, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @ X0 @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl851, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl883, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X2) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl130, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X4 @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ (inverse @ X4) @ X0))))) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 36.16/5.90 = (double_divide @ X2 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl1377, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ X2 @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ (inverse @ X2) @
% 36.16/5.90 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 36.16/5.90 = (double_divide @ X3 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl130])).
% 36.16/5.90 thf(zip_derived_cl421, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X1 @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl1739, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl1377, zip_derived_cl421])).
% 36.16/5.90 thf(zip_derived_cl1377, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ X2 @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ (inverse @ X2) @
% 36.16/5.90 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 36.16/5.90 = (double_divide @ X3 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl130])).
% 36.16/5.90 thf(zip_derived_cl1842, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0))
% 36.16/5.90 = (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X3 @ (double_divide @ X2 @ X3))) @ X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl1739, zip_derived_cl1377])).
% 36.16/5.90 thf(zip_derived_cl209, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @ X0 @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl3171, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @
% 36.16/5.90 X0) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X4 @ X3))))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl1842, zip_derived_cl209])).
% 36.16/5.90 thf(zip_derived_cl1739, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))) @ X0) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl1377, zip_derived_cl421])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl3345, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ X0) @
% 36.16/5.90 (double_divide @ X2 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X3 @ (double_divide @ X0 @ X3)))) @
% 36.16/5.90 X2)))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl3282, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl3471, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3345, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl851, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl3499, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.16/5.90 ((double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X2))
% 36.16/5.90 = (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X1) @ X1)) @ X0))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl3471, zip_derived_cl851])).
% 36.16/5.90 thf(zip_derived_cl1377, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ X2 @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ (inverse @ X2) @
% 36.16/5.90 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))))))
% 36.16/5.90 = (double_divide @ X3 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl130])).
% 36.16/5.90 thf(zip_derived_cl4626, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))) @
% 36.16/5.90 X0)))))
% 36.16/5.90 = (double_divide @ X3 @ X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl3499, zip_derived_cl1377])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl4884, plain,
% 36.16/5.90 (![X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @
% 36.16/5.90 (double_divide @ X3 @ X2)))
% 36.16/5.90 = (double_divide @ X3 @ X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl4626, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl5442, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0))
% 36.16/5.90 = (double_divide @ X2 @
% 36.16/5.90 (double_divide @ (inverse @ X3) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ X2 @ X1)))))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl4884])).
% 36.16/5.90 thf(zip_derived_cl209, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X6 : $i]:
% 36.16/5.90 ((double_divide @ X0 @
% 36.16/5.90 (double_divide @ (inverse @ X6) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X6 @ X1)) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X0 @ X2))))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl5495, plain,
% 36.16/5.90 (![X0 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0)) = (
% 36.16/5.90 X0))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl5442, zip_derived_cl209])).
% 36.16/5.90 thf(zip_derived_cl5628, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.16/5.90 ((inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X2)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl5495])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl5835, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (double_divide @ (inverse @ X3) @ X3) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X1)))) @
% 36.16/5.90 X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5628, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl6034, plain,
% 36.16/5.90 (![X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (double_divide @ (inverse @ X3) @ X3) @
% 36.16/5.90 (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl5835, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl7130, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 36.16/5.90 (inverse @ X1)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl6034])).
% 36.16/5.90 thf(zip_derived_cl3471, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3345, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl5495, plain,
% 36.16/5.90 (![X0 : $i, X4 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @ (double_divide @ (inverse @ X4) @ X4) @ X0)) = (
% 36.16/5.90 X0))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl5442, zip_derived_cl209])).
% 36.16/5.90 thf(zip_derived_cl5637, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0)) @ X1))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl3471, zip_derived_cl5495])).
% 36.16/5.90 thf(zip_derived_cl3471, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0))) = (X1))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3345, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl7854, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5637, zip_derived_cl3471])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8331, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ X0)
% 36.16/5.90 = (double_divide @ X1 @ (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7130, zip_derived_cl8133])).
% 36.16/5.90 thf(prove_these_axioms, conjecture,
% 36.16/5.90 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 36.16/5.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 36.16/5.90 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 36.16/5.90 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 36.16/5.90 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 36.16/5.90 thf(zf_stmt_0, negated_conjecture,
% 36.16/5.90 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 36.16/5.90 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 36.16/5.90 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 36.16/5.90 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 36.16/5.90 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 36.16/5.90 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 36.16/5.90 thf(zip_derived_cl2, plain,
% 36.16/5.90 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 36.16/5.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 36.16/5.90 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 36.16/5.90 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.16/5.90 thf(multiply, axiom,
% 36.16/5.90 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl1, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('cnf', [status(esa)], [multiply])).
% 36.16/5.90 thf(zip_derived_cl3, plain,
% 36.16/5.90 ((((inverse @
% 36.16/5.90 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 36.16/5.90 != (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))
% 36.16/5.90 | ((inverse @
% 36.16/5.90 (double_divide @ a2 @
% 36.16/5.90 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 36.16/5.90 != (a2))
% 36.16/5.90 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 36.16/5.90 != (inverse @ (double_divide @ b1 @ (inverse @ b1)))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 36.16/5.90 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 36.16/5.90 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 36.16/5.90 thf(zip_derived_cl8432, plain,
% 36.16/5.90 (![X0 : $i]:
% 36.16/5.90 (((inverse @
% 36.16/5.90 (double_divide @ a2 @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0))))
% 36.16/5.90 != (a2))
% 36.16/5.90 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 36.16/5.90 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))
% 36.16/5.90 | ((inverse @
% 36.16/5.90 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 36.16/5.90 != (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3))))),
% 36.16/5.90 inference('sup-', [status(thm)], [zip_derived_cl8331, zip_derived_cl3])).
% 36.16/5.90 thf(zip_derived_cl5637, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ (inverse @ X0) @ X0)) @ X1))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl3471, zip_derived_cl5495])).
% 36.16/5.90 thf(zip_derived_cl42, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X3 @
% 36.16/5.90 (double_divide @ X1 @ (double_divide @ (inverse @ X3) @ X2)))) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl5, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X5) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X1))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X0))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X0))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl0, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 36.16/5.90 = (X0))),
% 36.16/5.90 inference('cnf', [status(esa)], [single_axiom])).
% 36.16/5.90 thf(zip_derived_cl8, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X7) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X7 @ X0)) @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ (inverse @ X5) @ X6)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X0))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl559, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 36.16/5.90 X7 : $i, X8 : $i, X9 : $i]:
% 36.16/5.90 ((double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X9 @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ (inverse @ X9) @ X0))))) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X8 @ (double_divide @ (inverse @ X7) @ X8)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X7 @
% 36.16/5.90 (double_divide @ (inverse @ X4) @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ X6 @ X5))))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 36.16/5.90 thf(zip_derived_cl130, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X4 @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ (inverse @ X4) @ X0))))) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X0 @
% 36.16/5.90 (double_divide @ X3 @ (double_divide @ X1 @ X3)))))
% 36.16/5.90 = (double_divide @ X2 @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl625, plain,
% 36.16/5.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ X6 @ (inverse @ X7))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X7 @
% 36.16/5.90 (double_divide @ (inverse @ X4) @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ X6 @ X5))))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl559, zip_derived_cl130])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8867, plain,
% 36.16/5.90 (![X1 : $i, X3 : $i, X4 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ X6 @ (inverse @ X7))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X7 @ (double_divide @ (inverse @ X4) @ X6))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 X3)) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl625, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8920, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (inverse @ (double_divide @ (inverse @ X2) @ X2))) @
% 36.16/5.90 X3))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ (double_divide @ X1 @ X0) @ X1)) @
% 36.16/5.90 X0))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5637, zip_derived_cl8867])).
% 36.16/5.90 thf(zip_derived_cl3282, plain,
% 36.16/5.90 (![X2 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X4 @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (inverse @ (double_divide @ X5 @ (double_divide @ X2 @ X5)))) @
% 36.16/5.90 X4))
% 36.16/5.90 = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3171, zip_derived_cl1739])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8331, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ X0)
% 36.16/5.90 = (double_divide @ X1 @ (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7130, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl851, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl851, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 36.16/5.90 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl42])).
% 36.16/5.90 thf(zip_derived_cl866, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (double_divide @ X2 @ X3))
% 36.16/5.90 = (double_divide @ (double_divide @ X1 @ X2) @
% 36.16/5.90 (double_divide @ X0 @ (double_divide @ X1 @ X0))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl851])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8308, plain,
% 36.16/5.90 (![X1 : $i, X2 : $i]:
% 36.16/5.90 ((X2) = (double_divide @ (double_divide @ X1 @ X2) @ X1))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl866, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8422, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((inverse @ X1)
% 36.16/5.90 = (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl8331, zip_derived_cl8308])).
% 36.16/5.90 thf(zip_derived_cl8308, plain,
% 36.16/5.90 (![X1 : $i, X2 : $i]:
% 36.16/5.90 ((X2) = (double_divide @ (double_divide @ X1 @ X2) @ X1))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl866, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl7854, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5637, zip_derived_cl3471])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl8422, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((inverse @ X1)
% 36.16/5.90 = (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl8331, zip_derived_cl8308])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl9060, plain,
% 36.16/5.90 ((((a2) != (a2))
% 36.16/5.90 | ((double_divide @ a1 @ (inverse @ a1))
% 36.16/5.90 != (double_divide @ b1 @ (inverse @ b1)))
% 36.16/5.90 | ((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 36.16/5.90 != (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8432, zip_derived_cl8997, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8315, zip_derived_cl8997, zip_derived_cl8997,
% 36.16/5.90 zip_derived_cl8997])).
% 36.16/5.90 thf(zip_derived_cl9061, plain,
% 36.16/5.90 ((((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 36.16/5.90 != (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))
% 36.16/5.90 | ((double_divide @ a1 @ (inverse @ a1))
% 36.16/5.90 != (double_divide @ b1 @ (inverse @ b1))))),
% 36.16/5.90 inference('simplify', [status(thm)], [zip_derived_cl9060])).
% 36.16/5.90 thf(zip_derived_cl8331, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ X0)
% 36.16/5.90 = (double_divide @ X1 @ (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7130, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8331, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ X0)
% 36.16/5.90 = (double_divide @ X1 @ (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7130, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8441, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (inverse @ X0))
% 36.16/5.90 = (double_divide @ X1 @ (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl8331, zip_derived_cl8331])).
% 36.16/5.90 thf(zip_derived_cl9062, plain,
% 36.16/5.90 (((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 36.16/5.90 != (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))),
% 36.16/5.90 inference('simplify_reflect+', [status(thm)],
% 36.16/5.90 [zip_derived_cl9061, zip_derived_cl8441])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl9112, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ (inverse @ X1))
% 36.16/5.90 = (inverse @ (double_divide @ X1 @ X0)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl8315, zip_derived_cl8997])).
% 36.16/5.90 thf(zip_derived_cl9305, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @ X0)
% 36.16/5.90 = (inverse @ (double_divide @ (inverse @ X0) @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl8315, zip_derived_cl9112])).
% 36.16/5.90 thf(zip_derived_cl9337, plain,
% 36.16/5.90 (((double_divide @ (double_divide @ b3 @ a3) @ (inverse @ c3))
% 36.16/5.90 != (double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3)))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl9062, zip_derived_cl9305])).
% 36.16/5.90 thf(zip_derived_cl7854, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X1) @
% 36.16/5.90 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5637, zip_derived_cl3471])).
% 36.16/5.90 thf(zip_derived_cl5, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X5) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X1))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X0))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X0))))
% 36.16/5.90 = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl8, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X7) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X7 @ X0)) @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ (inverse @ X5) @ X6)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X0))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl564, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 36.16/5.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ (inverse @ X9)) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ X0) @
% 36.16/5.90 (double_divide @ X11 @ (double_divide @ (inverse @ X10) @ X11)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X10 @
% 36.16/5.90 (double_divide @ (inverse @ X4) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X9 @
% 36.16/5.90 (double_divide @ (inverse @ X8) @ X0))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X8 @ (double_divide @ X7 @ X5))) @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ X7 @ X6)))) @
% 36.16/5.90 X5)))))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 36.16/5.90 thf(zip_derived_cl8, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X7) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X7 @ X0)) @
% 36.16/5.90 (double_divide @ X6 @ (double_divide @ (inverse @ X5) @ X6)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X0))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 36.16/5.90 thf(zip_derived_cl626, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X6 : $i, X7 : $i,
% 36.16/5.90 X9 : $i, X10 : $i, X11 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ (inverse @ X9)) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ X0) @
% 36.16/5.90 (double_divide @ X11 @ (double_divide @ (inverse @ X10) @ X11)))))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X10 @
% 36.16/5.90 (double_divide @ (inverse @ X4) @
% 36.16/5.90 (double_divide @ (inverse @ X7) @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ (inverse @ (double_divide @ X7 @ X0)) @
% 36.16/5.90 (double_divide @ X6 @
% 36.16/5.90 (double_divide @ (inverse @ X9) @ X6)))))))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 (double_divide @ X2 @ (double_divide @ X3 @ X2)))) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('demod', [status(thm)], [zip_derived_cl564, zip_derived_cl8])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8997, plain,
% 36.16/5.90 (![X3 : $i, X4 : $i]:
% 36.16/5.90 ((double_divide @ X3 @ (inverse @ X4))
% 36.16/5.90 = (inverse @ (double_divide @ X4 @ (inverse @ X3))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl8920, zip_derived_cl8315, zip_derived_cl8422,
% 36.16/5.90 zip_derived_cl8308, zip_derived_cl7854])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl8133, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i]:
% 36.16/5.90 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl3282])).
% 36.16/5.90 thf(zip_derived_cl8867, plain,
% 36.16/5.90 (![X1 : $i, X3 : $i, X4 : $i, X6 : $i, X7 : $i]:
% 36.16/5.90 ((double_divide @ X6 @ (inverse @ X7))
% 36.16/5.90 = (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @ X7 @ (double_divide @ (inverse @ X4) @ X6))) @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @
% 36.16/5.90 (double_divide @
% 36.16/5.90 (inverse @ (double_divide @ X4 @ (double_divide @ X3 @ X1))) @
% 36.16/5.90 X3)) @
% 36.16/5.90 X1))))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl625, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl9127, plain,
% 36.16/5.90 (![X0 : $i, X7 : $i, X9 : $i, X10 : $i]:
% 36.16/5.90 ((double_divide @ X9 @ (double_divide @ X10 @ X0))
% 36.16/5.90 = (double_divide @
% 36.16/5.90 (double_divide @ (inverse @ X7) @
% 36.16/5.90 (double_divide @ X9 @ (double_divide @ X7 @ X0))) @
% 36.16/5.90 (inverse @ X10)))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl626, zip_derived_cl8315, zip_derived_cl8133,
% 36.16/5.90 zip_derived_cl8997, zip_derived_cl8315, zip_derived_cl8133,
% 36.16/5.90 zip_derived_cl8997, zip_derived_cl8315, zip_derived_cl8133,
% 36.16/5.90 zip_derived_cl8867])).
% 36.16/5.90 thf(zip_derived_cl9157, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))
% 36.16/5.90 = (double_divide @
% 36.16/5.90 (double_divide @ (inverse @ (inverse @ X2)) @ X0) @
% 36.16/5.90 (inverse @ X1)))),
% 36.16/5.90 inference('sup+', [status(thm)], [zip_derived_cl7854, zip_derived_cl9127])).
% 36.16/5.90 thf(zip_derived_cl8315, plain,
% 36.16/5.90 (![X2 : $i]: ((inverse @ (inverse @ X2)) = (X2))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl3282, zip_derived_cl8133, zip_derived_cl8133])).
% 36.16/5.90 thf(zip_derived_cl9191, plain,
% 36.16/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.16/5.90 ((double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))
% 36.16/5.90 = (double_divide @ (double_divide @ X2 @ X0) @ (inverse @ X1)))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl9157, zip_derived_cl8315])).
% 36.16/5.90 thf(zip_derived_cl13224, plain,
% 36.16/5.90 (((double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3))
% 36.16/5.90 != (double_divide @ (inverse @ a3) @ (double_divide @ c3 @ b3)))),
% 36.16/5.90 inference('demod', [status(thm)],
% 36.16/5.90 [zip_derived_cl9337, zip_derived_cl9191])).
% 36.16/5.90 thf(zip_derived_cl13225, plain, ($false),
% 36.16/5.90 inference('simplify', [status(thm)], [zip_derived_cl13224])).
% 36.16/5.90
% 36.16/5.90 % SZS output end Refutation
% 36.16/5.90
% 36.16/5.90
% 36.16/5.90 % Terminating...
% 36.16/5.95 % Runner terminated.
% 36.16/5.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------