TSTP Solution File: GRP572-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SbAMXgbN65 true
% Computer : n016.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 01:52:09 EDT 2023
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SbAMXgbN65 true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 21:17:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % Solved by fo/fo3_bce.sh.
% 0.56/0.75 % BCE start: 5
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 5
% 0.56/0.75 logic: eq
% 0.56/0.75 % PE eliminated: 0
% 0.56/0.75 % done 59 iterations in 0.028s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% 0.56/0.75 thf(identity_type, type, identity: $i).
% 0.56/0.75 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.75 thf(b_type, type, b: $i).
% 0.56/0.75 thf(a_type, type, a: $i).
% 0.56/0.75 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.56/0.75 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.75 thf(prove_these_axioms_4, conjecture,
% 0.56/0.75 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.56/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.75 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.56/0.75 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.56/0.75 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.56/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.75 thf(multiply, axiom,
% 0.56/0.75 (( multiply @ A @ B ) =
% 0.56/0.75 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.56/0.75 thf(zip_derived_cl1, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((multiply @ X1 @ X0)
% 0.56/0.75 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [multiply])).
% 0.56/0.75 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl5, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl5, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl6, plain,
% 0.56/0.75 (((inverse @ (double_divide @ b @ a))
% 0.56/0.75 != (inverse @ (double_divide @ a @ b)))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl5])).
% 0.56/0.75 thf(identity, axiom,
% 0.56/0.75 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.56/0.75 thf(zip_derived_cl3, plain,
% 0.56/0.75 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.56/0.75 inference('cnf', [status(esa)], [identity])).
% 0.56/0.75 thf(zip_derived_cl3, plain,
% 0.56/0.75 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.56/0.75 inference('cnf', [status(esa)], [identity])).
% 0.56/0.75 thf(single_axiom, axiom,
% 0.56/0.75 (( double_divide @
% 0.56/0.75 ( double_divide @
% 0.56/0.75 A @
% 0.56/0.75 ( double_divide @
% 0.56/0.75 ( double_divide @ B @ ( double_divide @ A @ C ) ) @
% 0.56/0.75 ( double_divide @ C @ identity ) ) ) @
% 0.56/0.75 ( double_divide @ identity @ identity ) ) =
% 0.56/0.75 ( B ))).
% 0.56/0.75 thf(zip_derived_cl0, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @
% 0.56/0.75 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 0.56/0.75 (double_divide @ X2 @ identity))) @
% 0.56/0.75 (double_divide @ identity @ identity)) = (X0))),
% 0.56/0.75 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl7, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @
% 0.56/0.75 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl10, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @ (double_divide @ X0 @ identity) @
% 0.56/0.75 (inverse @ (inverse @ X1)))) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl12, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl14, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl15, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl3, plain,
% 0.56/0.75 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.56/0.75 inference('cnf', [status(esa)], [identity])).
% 0.56/0.75 thf(zip_derived_cl15, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl7, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @
% 0.56/0.75 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl9, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 0.56/0.75 (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.56/0.75 thf(zip_derived_cl23, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ identity @
% 0.56/0.75 (double_divide @ X0 @ (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (inverse @ X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 0.56/0.75 thf(zip_derived_cl30, plain,
% 0.56/0.75 (((double_divide @ (double_divide @ identity @ identity) @
% 0.56/0.75 (inverse @ identity)) = (inverse @ identity))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl15, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl42, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl15, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl3, plain,
% 0.56/0.75 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.56/0.75 inference('cnf', [status(esa)], [identity])).
% 0.56/0.75 thf(zip_derived_cl45, plain,
% 0.56/0.75 (![X0 : $i]: ((identity) = (double_divide @ (inverse @ X0) @ X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 0.56/0.75 thf(zip_derived_cl9, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 0.56/0.75 (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl40, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.56/0.75 = (X1))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl9, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl40, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.56/0.75 = (X1))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl9, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl40, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.56/0.75 = (X1))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl9, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl71, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ (double_divide @ X0 @ (inverse @ X1)) @ X0)) = (
% 0.56/0.75 X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl40])).
% 0.56/0.75 thf(zip_derived_cl42, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl15, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl87, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @ X0)
% 0.56/0.75 = (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @ X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl42])).
% 0.56/0.75 thf(zip_derived_cl112, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X2 @
% 0.56/0.75 (inverse @ (double_divide @ X0 @ (inverse @ X2)))))
% 0.56/0.75 = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl87])).
% 0.56/0.75 thf(zip_derived_cl40, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.56/0.75 = (X1))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl9, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl117, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl40])).
% 0.56/0.75 thf(zip_derived_cl162, plain,
% 0.56/0.75 (![X0 : $i]: ((X0) = (double_divide @ identity @ (inverse @ X0)))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl117])).
% 0.56/0.75 thf(zip_derived_cl7, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @
% 0.56/0.75 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 0.56/0.75 (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl39, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ X1 @
% 0.56/0.75 (double_divide @
% 0.56/0.75 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))))
% 0.56/0.75 = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl7, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl174, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((inverse @
% 0.56/0.75 (double_divide @ identity @
% 0.56/0.75 (double_divide @ (double_divide @ X1 @ X0) @
% 0.56/0.75 (inverse @ (inverse @ X0)))))
% 0.56/0.75 = (X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl39])).
% 0.56/0.75 thf(zip_derived_cl42, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl15, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl23, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ identity @
% 0.56/0.75 (double_divide @ X0 @ (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (inverse @ X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl43, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((inverse @ (double_divide @ identity @ (inverse @ X0)))
% 0.56/0.75 = (inverse @ X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl23, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl23, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ identity @
% 0.56/0.75 (double_divide @ X0 @ (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (inverse @ X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 0.56/0.75 thf(zip_derived_cl9, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ X0 @
% 0.56/0.75 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 0.56/0.75 (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity)) = (X1))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.56/0.75 thf(zip_derived_cl26, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @
% 0.56/0.75 (double_divide @ identity @
% 0.56/0.75 (double_divide @ (inverse @ X0) @ (inverse @ identity))) @
% 0.56/0.75 (inverse @ identity))
% 0.56/0.75 = (double_divide @ identity @
% 0.56/0.75 (double_divide @ X0 @ (inverse @ identity))))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 0.56/0.75 thf(zip_derived_cl15, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl37, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((double_divide @ (double_divide @ identity @ X0) @
% 0.56/0.75 (inverse @ identity))
% 0.56/0.75 = (double_divide @ identity @
% 0.56/0.75 (double_divide @ X0 @ (inverse @ identity))))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl36, plain, (((identity) = (inverse @ identity))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl15])).
% 0.56/0.75 thf(zip_derived_cl2, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.56/0.75 inference('cnf', [status(esa)], [inverse])).
% 0.56/0.75 thf(zip_derived_cl54, plain,
% 0.56/0.75 (![X0 : $i]:
% 0.56/0.75 ((inverse @ (double_divide @ identity @ X0))
% 0.56/0.75 = (double_divide @ identity @ (inverse @ X0)))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl37, zip_derived_cl36, zip_derived_cl2,
% 0.56/0.75 zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl42, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl15, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl62, plain,
% 0.56/0.75 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl43, zip_derived_cl54, zip_derived_cl42])).
% 0.56/0.75 thf(zip_derived_cl42, plain,
% 0.56/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl15, zip_derived_cl36, zip_derived_cl2])).
% 0.56/0.75 thf(zip_derived_cl185, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @ (double_divide @ X1 @ X0) @ X0) = (X1))),
% 0.56/0.75 inference('demod', [status(thm)],
% 0.56/0.75 [zip_derived_cl174, zip_derived_cl42, zip_derived_cl62,
% 0.56/0.75 zip_derived_cl42])).
% 0.56/0.75 thf(zip_derived_cl117, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl40])).
% 0.56/0.75 thf(zip_derived_cl117, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((X0) = (double_divide @ (double_divide @ X1 @ X0) @ X1))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl40])).
% 0.56/0.75 thf(zip_derived_cl152, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((X1) = (double_divide @ X0 @ (double_divide @ X1 @ X0)))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl117])).
% 0.56/0.75 thf(zip_derived_cl272, plain,
% 0.56/0.75 (![X0 : $i, X1 : $i]:
% 0.56/0.75 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 0.56/0.75 inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl152])).
% 0.56/0.75 thf(zip_derived_cl291, plain,
% 0.56/0.75 (((inverse @ (double_divide @ a @ b))
% 0.56/0.75 != (inverse @ (double_divide @ a @ b)))),
% 0.56/0.75 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl272])).
% 0.56/0.75 thf(zip_derived_cl292, plain, ($false),
% 0.56/0.75 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 0.56/0.75
% 0.56/0.75 % SZS output end Refutation
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % Terminating...
% 0.57/0.85 % Runner terminated.
% 1.83/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------