%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP592-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2HQp3dcJPv true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:44 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.88s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP592-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2HQp3dcJPv true
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:25:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.47/0.61 % Total configuration time : 435
% 0.47/0.61 % Estimated wc time : 1092
% 0.47/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.88 % Solved by fo/fo7.sh.
% 0.51/0.88 % done 39 iterations in 0.094s
% 0.51/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.88 % SZS output start Refutation
% 0.51/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.88 thf(b_type, type, b: $i).
% 0.51/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.88 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.51/0.88 thf(a_type, type, a: $i).
% 0.51/0.88 thf(prove_these_axioms_4, conjecture,
% 0.51/0.88 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.51/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.88 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.51/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.51/0.88 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.51/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.88 thf(multiply, axiom,
% 0.51/0.88 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.51/0.88 thf(zip_derived_cl1, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.51/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.88 thf(zip_derived_cl1, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.51/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.88 thf(zip_derived_cl3, plain,
% 0.51/0.88 (((inverse @ (double_divide @ b @ a))
% 0.51/0.88 != (inverse @ (double_divide @ a @ b)))),
% 0.51/0.88 inference('demod', [status(thm)],
% 0.51/0.88 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.51/0.88 thf(single_axiom, axiom,
% 0.51/0.88 (( double_divide @
% 0.51/0.88 ( inverse @
% 0.51/0.88 ( double_divide @
% 0.51/0.88 ( double_divide @ A @ B ) @
% 0.51/0.88 ( inverse @ ( double_divide @ A @ ( inverse @ C ) ) ) ) ) @
% 0.51/0.88 B ) =
% 0.51/0.88 ( C ))).
% 0.51/0.88 thf(zip_derived_cl0, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X1 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.88 thf(zip_derived_cl0, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X1 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.88 thf(zip_derived_cl0, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X1 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.88 thf(zip_derived_cl4, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X0 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X3 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @
% 0.51/0.88 (inverse @ X1))))) @
% 0.51/0.88 X2) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.88 thf(zip_derived_cl12, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl4, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X0 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X3 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @
% 0.51/0.88 (inverse @ X1))))) @
% 0.51/0.88 X2) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.88 thf(zip_derived_cl18, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X0 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @ (double_divide @ X3 @ (inverse @ X3))) @
% 0.51/0.88 (inverse @ X2))))) @
% 0.51/0.88 (inverse @ X1))))) @
% 0.51/0.88 (inverse @ X0)) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl12, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl26, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @ (double_divide @ X0 @ (inverse @ X2))) @
% 0.51/0.88 (inverse @ X1))))) @
% 0.51/0.88 (inverse @ X0)) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl12])).
% 0.51/0.88 thf(zip_derived_cl12, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl4, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X0 @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X3 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X3 @ (inverse @ X0))))) @
% 0.51/0.88 (inverse @ X1))))) @
% 0.51/0.88 X2) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.88 thf(zip_derived_cl23, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl23, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl30, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @
% 0.51/0.88 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.51/0.88 = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl23, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl171, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (double_divide @ (inverse @ (inverse @ X0)) @
% 0.51/0.88 (inverse @ (inverse @ (inverse @ X2)))) @
% 0.51/0.88 (inverse @ (inverse @ X1))))) @
% 0.51/0.88 (inverse @ X0)) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)],
% 0.51/0.88 [zip_derived_cl26, zip_derived_cl53, zip_derived_cl53,
% 0.51/0.88 zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl23, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl69, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X0))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl83, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ (inverse @ X2))) @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))))
% 0.51/0.88 = (X2))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl69])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl86, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ (inverse @ X2))) @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))))
% 0.51/0.88 = (X2))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl221, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X3 @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (double_divide @ (inverse @ (inverse @ (inverse @ X2))) @
% 0.51/0.88 (inverse @ (inverse @ (inverse @ X3)))) @
% 0.51/0.88 (inverse @ (inverse @ X0))))) @
% 0.51/0.88 (inverse @ (inverse @ X2))) @
% 0.51/0.88 (inverse @ (inverse @ X1))) @
% 0.51/0.88 X0) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl86])).
% 0.51/0.88 thf(zip_derived_cl171, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (double_divide @
% 0.51/0.88 (double_divide @ (inverse @ (inverse @ X0)) @
% 0.51/0.88 (inverse @ (inverse @ (inverse @ X2)))) @
% 0.51/0.88 (inverse @ (inverse @ X1))))) @
% 0.51/0.88 (inverse @ X0)) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)],
% 0.51/0.88 [zip_derived_cl26, zip_derived_cl53, zip_derived_cl53,
% 0.51/0.88 zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl235, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X0 @ (inverse @ (inverse @ X1))) @
% 0.51/0.88 X0) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl171])).
% 0.51/0.88 thf(zip_derived_cl12, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl67, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X0))) @
% 0.51/0.88 (inverse @ X1)) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl235, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X0 @ (inverse @ (inverse @ X1))) @
% 0.51/0.88 X0) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl171])).
% 0.51/0.88 thf(zip_derived_cl257, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X1))))
% 0.51/0.88 = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl235])).
% 0.51/0.88 thf(zip_derived_cl0, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X1 @ X2) @
% 0.51/0.88 (inverse @ (double_divide @ X1 @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl65, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (inverse @
% 0.51/0.88 (double_divide @ (double_divide @ X1 @ X2) @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl72, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X2) @
% 0.51/0.88 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 0.51/0.88 = (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl53, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 0.51/0.88 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl23])).
% 0.51/0.88 thf(zip_derived_cl73, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @ (inverse @ X2) @
% 0.51/0.88 (double_divide @ (inverse @ (inverse @ X1)) @
% 0.51/0.88 (inverse @ (inverse @ (inverse @ X0)))))
% 0.51/0.88 = (inverse @
% 0.51/0.88 (double_divide @ X2 @
% 0.51/0.88 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))))))),
% 0.51/0.88 inference('demod', [status(thm)],
% 0.51/0.88 [zip_derived_cl72, zip_derived_cl53, zip_derived_cl53])).
% 0.51/0.88 thf(zip_derived_cl144, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.88 ((double_divide @
% 0.51/0.88 (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 0.51/0.88 (double_divide @ (inverse @ (inverse @ X1)) @
% 0.51/0.88 (inverse @ (inverse @ (inverse @ X0))))) @
% 0.51/0.88 X2) = (X0))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl73])).
% 0.51/0.88 thf(zip_derived_cl285, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X1 @ X0) @ X0) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl144])).
% 0.51/0.88 thf(zip_derived_cl235, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X0 @ (inverse @ (inverse @ X1))) @
% 0.51/0.88 X0) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl171])).
% 0.51/0.88 thf(zip_derived_cl301, plain,
% 0.51/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl235])).
% 0.51/0.88 thf(zip_derived_cl323, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl301])).
% 0.51/0.88 thf(zip_derived_cl285, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ (double_divide @ X1 @ X0) @ X0) = (X1))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl144])).
% 0.51/0.88 thf(zip_derived_cl329, plain,
% 0.51/0.88 (![X0 : $i, X1 : $i]:
% 0.51/0.88 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 0.51/0.88 inference('sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl285])).
% 0.51/0.88 thf(zip_derived_cl346, plain,
% 0.51/0.88 (((inverse @ (double_divide @ a @ b))
% 0.51/0.88 != (inverse @ (double_divide @ a @ b)))),
% 0.51/0.88 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl329])).
% 0.51/0.88 thf(zip_derived_cl347, plain, ($false),
% 0.51/0.88 inference('simplify', [status(thm)], [zip_derived_cl346])).
% 0.51/0.88
% 0.51/0.88 % SZS output end Refutation
% 0.51/0.88
% 0.51/0.88
% 0.51/0.88 % Terminating...
% 1.85/0.96 % Runner terminated.
% 1.85/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------