TSTP Solution File: GRP568-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP568-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jf3YvXgOx1 true
% Computer : n009.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 01:52:08 EDT 2023
% Result : Unsatisfiable 0.63s 0.94s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP568-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jf3YvXgOx1 true
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 22:58:50 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/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
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.94 % Solved by fo/fo3_bce.sh.
% 0.63/0.94 % BCE start: 5
% 0.63/0.94 % BCE eliminated: 0
% 0.63/0.94 % PE start: 5
% 0.63/0.94 logic: eq
% 0.63/0.94 % PE eliminated: 0
% 0.63/0.94 % done 102 iterations in 0.102s
% 0.63/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.94 % SZS output start Refutation
% 0.63/0.94 thf(identity_type, type, identity: $i).
% 0.63/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.63/0.94 thf(b_type, type, b: $i).
% 0.63/0.94 thf(a_type, type, a: $i).
% 0.63/0.94 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.63/0.94 thf(inverse_type, type, inverse: $i > $i).
% 0.63/0.94 thf(prove_these_axioms_4, conjecture,
% 0.63/0.94 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.63/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.63/0.94 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.63/0.94 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.63/0.94 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.63/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.63/0.94 thf(multiply, axiom,
% 0.63/0.94 (( multiply @ A @ B ) =
% 0.63/0.94 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.63/0.94 thf(zip_derived_cl1, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((multiply @ X1 @ X0)
% 0.63/0.94 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [multiply])).
% 0.63/0.94 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl5, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl5, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl6, plain,
% 0.63/0.94 (((inverse @ (double_divide @ b @ a))
% 0.63/0.94 != (inverse @ (double_divide @ a @ b)))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl5])).
% 0.63/0.94 thf(identity, axiom,
% 0.63/0.94 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(single_axiom, axiom,
% 0.63/0.94 (( double_divide @
% 0.63/0.94 ( double_divide @
% 0.63/0.94 A @
% 0.63/0.94 ( double_divide @
% 0.63/0.94 ( double_divide @ B @ ( double_divide @ A @ C ) ) @
% 0.63/0.94 ( double_divide @ identity @ C ) ) ) @
% 0.63/0.94 ( double_divide @ identity @ identity ) ) =
% 0.63/0.94 ( B ))).
% 0.63/0.94 thf(zip_derived_cl0, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (double_divide @ identity @ identity)) = (X0))),
% 0.63/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl9, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ identity)) @
% 0.63/0.94 (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl14, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @ (double_divide @ X0 @ (inverse @ X1)) @
% 0.63/0.94 (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl22, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X0 @
% 0.63/0.94 (double_divide @ identity @ (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl25, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl22, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl25, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl22, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl27, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ (inverse @ X0) @
% 0.63/0.94 (double_divide @ (double_divide @ X1 @ X0) @
% 0.63/0.94 (double_divide @ identity @ (inverse @ identity)))) @
% 0.63/0.94 (inverse @ identity)) = (X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl7])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl29, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ (inverse @ X0) @
% 0.63/0.94 (inverse @ (double_divide @ X1 @ X0))) @
% 0.63/0.94 (inverse @ identity)) = (X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl27, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl14, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @ (double_divide @ X0 @ (inverse @ X1)) @
% 0.63/0.94 (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl33, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ (double_divide @ X0 @ X1) @ X0) @
% 0.63/0.94 (inverse @ identity)) = (inverse @ X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl14])).
% 0.63/0.94 thf(zip_derived_cl57, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 0.63/0.94 (inverse @ identity)) = (inverse @ (inverse @ identity)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl33])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl59, plain,
% 0.63/0.94 (((identity) = (inverse @ (inverse @ identity)))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl57, zip_derived_cl3, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl25, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl22, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl63, plain,
% 0.63/0.94 (((double_divide @ identity @ (inverse @ identity))
% 0.63/0.94 = (inverse @ identity))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl25])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl74, plain,
% 0.63/0.94 (((identity) = (double_divide @ identity @ identity))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl13, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X3 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X3 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (double_divide @ (double_divide @ X1 @ X0) @
% 0.63/0.94 (double_divide @ identity @ (inverse @ identity)))) @
% 0.63/0.94 (inverse @ identity)) = (X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl18, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X3 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X3 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ (double_divide @ X1 @ X0))) @
% 0.63/0.94 (inverse @ identity)) = (X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl13, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl10, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ identity))) @
% 0.63/0.94 identity)) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl15, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (inverse @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ identity))))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl80, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (inverse @ (double_divide @ X0 @ (inverse @ X1)))))
% 0.63/0.94 = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl15, zip_derived_cl66, zip_derived_cl2,
% 0.63/0.94 zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl88, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @ identity @
% 0.63/0.94 (inverse @ (double_divide @ X0 @ identity))))
% 0.63/0.94 = (X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl80])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl25, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl22, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl91, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (double_divide @ identity @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl88, zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl100, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl188, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X3 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X3 @ X2)) @ (inverse @ X2))) @
% 0.63/0.94 (inverse @ (double_divide @ X1 @ X0))))
% 0.63/0.94 = (X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl18, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl206, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ identity @ (double_divide @ X1 @ X0)) @
% 0.63/0.94 (inverse @ X0))) @
% 0.63/0.94 (inverse @ identity)))
% 0.63/0.94 = (identity))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl188])).
% 0.63/0.94 thf(zip_derived_cl100, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl233, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X1 @
% 0.63/0.94 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 0.63/0.94 (inverse @ X0)))
% 0.63/0.94 = (identity))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl206, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl7, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @
% 0.63/0.94 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.63/0.94 (double_divide @ identity @ X2))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl12, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @ (double_divide @ X0 @ identity) @
% 0.63/0.94 (double_divide @ identity @ (inverse @ X1)))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl17, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @ (inverse @ X0) @
% 0.63/0.94 (double_divide @ identity @ (inverse @ X1)))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl3, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.63/0.94 inference('cnf', [status(esa)], [identity])).
% 0.63/0.94 thf(zip_derived_cl75, plain,
% 0.63/0.94 (![X0 : $i]: ((identity) = (double_divide @ (inverse @ X0) @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl33, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ (double_divide @ X0 @ X1) @ X0) @
% 0.63/0.94 (inverse @ identity)) = (inverse @ X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl14])).
% 0.63/0.94 thf(zip_derived_cl14, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (double_divide @ (double_divide @ X0 @ (inverse @ X1)) @
% 0.63/0.94 (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl45, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @
% 0.63/0.94 (double_divide @ identity @
% 0.63/0.94 (double_divide @ (inverse @ X0) @ (inverse @ identity))) @
% 0.63/0.94 (inverse @ identity))
% 0.63/0.94 = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl14])).
% 0.63/0.94 thf(zip_derived_cl25, plain,
% 0.63/0.94 (![X0 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl22, zip_derived_cl3, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl61, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ identity @ X0) @
% 0.63/0.94 (inverse @ identity))
% 0.63/0.94 = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl25])).
% 0.63/0.94 thf(zip_derived_cl100, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl70, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl25, zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl131, plain,
% 0.63/0.94 (![X0 : $i]: ((X0) = (double_divide @ identity @ (inverse @ X0)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl149, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1))) = (
% 0.63/0.94 X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl17, zip_derived_cl131, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl100, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl129, plain,
% 0.63/0.94 (![X0 : $i]: ((X0) = (double_divide @ (inverse @ X0) @ identity))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl153, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1))
% 0.63/0.94 = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl129])).
% 0.63/0.94 thf(zip_derived_cl2, plain,
% 0.63/0.94 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.63/0.94 inference('cnf', [status(esa)], [inverse])).
% 0.63/0.94 thf(zip_derived_cl172, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1))
% 0.63/0.94 = (inverse @ X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl80, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @
% 0.63/0.94 (double_divide @ X1 @
% 0.63/0.94 (inverse @ (double_divide @ X0 @ (inverse @ X1)))))
% 0.63/0.94 = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl15, zip_derived_cl66, zip_derived_cl2,
% 0.63/0.94 zip_derived_cl66, zip_derived_cl2])).
% 0.63/0.94 thf(zip_derived_cl125, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @ (double_divide @ X1 @ (inverse @ X0)))
% 0.63/0.94 = (double_divide @ (inverse @ X1) @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl80])).
% 0.63/0.94 thf(zip_derived_cl281, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X1 @
% 0.63/0.94 (inverse @ (double_divide @ X0 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl125])).
% 0.63/0.94 thf(zip_derived_cl301, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (inverse @ X0) @
% 0.63/0.94 (inverse @ (double_divide @ X1 @ X0))) = (inverse @ X1))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl281])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl320, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @ (double_divide @ X0 @ X1))
% 0.63/0.94 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl301, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl500, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X1 @
% 0.63/0.94 (inverse @ (double_divide @ (double_divide @ X1 @ X0) @ X0)))
% 0.63/0.94 = (identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl320])).
% 0.63/0.94 thf(zip_derived_cl125, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((inverse @ (double_divide @ X1 @ (inverse @ X0)))
% 0.63/0.94 = (double_divide @ (inverse @ X1) @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl80])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl252, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0)
% 0.63/0.94 = (double_divide @
% 0.63/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.63/0.94 (inverse @ X1)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl508, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ X0 @ X1) @ X1)
% 0.63/0.94 = (double_divide @ (inverse @ identity) @ (inverse @ X0)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl252])).
% 0.63/0.94 thf(zip_derived_cl66, plain, (((identity) = (inverse @ identity))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.63/0.94 thf(zip_derived_cl131, plain,
% 0.63/0.94 (![X0 : $i]: ((X0) = (double_divide @ identity @ (inverse @ X0)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl555, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ (double_divide @ X0 @ X1) @ X1) = (X0))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl508, zip_derived_cl66, zip_derived_cl131])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl122, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.63/0.94 inference('demod', [status(thm)],
% 0.63/0.94 [zip_derived_cl61, zip_derived_cl100, zip_derived_cl66,
% 0.63/0.94 zip_derived_cl2, zip_derived_cl70])).
% 0.63/0.94 thf(zip_derived_cl123, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((X1) = (double_divide @ X0 @ (double_divide @ X1 @ X0)))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl122])).
% 0.63/0.94 thf(zip_derived_cl568, plain,
% 0.63/0.94 (![X0 : $i, X1 : $i]:
% 0.63/0.94 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 0.63/0.94 inference('sup+', [status(thm)], [zip_derived_cl555, zip_derived_cl123])).
% 0.63/0.94 thf(zip_derived_cl593, plain,
% 0.63/0.94 (((inverse @ (double_divide @ a @ b))
% 0.63/0.94 != (inverse @ (double_divide @ a @ b)))),
% 0.63/0.94 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl568])).
% 0.63/0.94 thf(zip_derived_cl594, plain, ($false),
% 0.63/0.94 inference('simplify', [status(thm)], [zip_derived_cl593])).
% 0.63/0.94
% 0.63/0.94 % SZS output end Refutation
% 0.63/0.94
% 0.63/0.94
% 0.63/0.94 % Terminating...
% 0.92/1.00 % Runner terminated.
% 0.92/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------