%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP612-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6vt19s6moS true
% Computer : n017.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 04:36:46 PM UTC 2025
% Result : Unsatisfiable 0.60s 1.02s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP612-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6vt19s6moS true
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:14:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/1.02 % Solved by fo/fo7.sh.
% 0.60/1.02 % done 62 iterations in 0.214s
% 0.60/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/1.02 % SZS output start Refutation
% 0.60/1.02 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.60/1.02 thf(b_type, type, b: $i).
% 0.60/1.02 thf(inverse_type, type, inverse: $i > $i).
% 0.60/1.02 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.60/1.02 thf(a_type, type, a: $i).
% 0.60/1.02 thf(prove_these_axioms_4, conjecture,
% 0.60/1.02 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.60/1.02 thf(zf_stmt_0, negated_conjecture,
% 0.60/1.02 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.60/1.02 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.60/1.02 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.60/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/1.02 thf(multiply, axiom,
% 0.60/1.02 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.60/1.02 thf(zip_derived_cl1, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.60/1.02 inference('cnf', [status(esa)], [multiply])).
% 0.60/1.02 thf(zip_derived_cl1, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.60/1.02 inference('cnf', [status(esa)], [multiply])).
% 0.60/1.02 thf(zip_derived_cl3, plain,
% 0.60/1.02 (((inverse @ (double_divide @ b @ a))
% 0.60/1.02 != (inverse @ (double_divide @ a @ b)))),
% 0.60/1.02 inference('demod', [status(thm)],
% 0.60/1.02 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.60/1.02 thf(single_axiom, axiom,
% 0.60/1.02 (( inverse @
% 0.60/1.02 ( double_divide @
% 0.60/1.02 ( inverse @
% 0.60/1.02 ( double_divide @ ( inverse @ ( double_divide @ A @ B ) ) @ C ) ) @
% 0.60/1.02 ( double_divide @ A @ C ) ) ) =
% 0.60/1.02 ( B ))).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl5, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.60/1.02 (double_divide @ X2 @ X1))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl12, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ (double_divide @ X3 @ X2) @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 0.60/1.02 X1))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.60/1.02 thf(zip_derived_cl5, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.60/1.02 (double_divide @ X2 @ X1))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl10, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @ X3 @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X1)))) @
% 0.60/1.02 (double_divide @ X2 @ X0)))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl44, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/1.02 ((double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X1)))) @
% 0.60/1.02 (double_divide @ X3 @ (inverse @ X0)))
% 0.60/1.02 = (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl34])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl216, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ X2 @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X1 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl34])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl57, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ (inverse @ X0) @
% 0.60/1.02 (double_divide @ X2 @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl216, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ X2 @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X1 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl34])).
% 0.60/1.02 thf(zip_derived_cl268, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ X2 @ X0)
% 0.60/1.02 = (double_divide @
% 0.60/1.02 (inverse @ (double_divide @ X2 @ (inverse @ X1))) @
% 0.60/1.02 (inverse @ (double_divide @ X0 @ X1))))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl216])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl312, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @ (double_divide @ X1 @ (inverse @ X2))) @ X0)) @
% 0.60/1.02 (double_divide @ X1 @ X0)) = (X2))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl34])).
% 0.60/1.02 thf(zip_derived_cl12, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ (double_divide @ X3 @ X2) @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 0.60/1.02 X1))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.60/1.02 thf(zip_derived_cl367, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ (double_divide @ X2 @ X1) @
% 0.60/1.02 (double_divide @ (inverse @ X0) @ X0)))
% 0.60/1.02 = (double_divide @ X2 @ X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl312, zip_derived_cl12])).
% 0.60/1.02 thf(zip_derived_cl428, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3)))
% 0.60/1.02 = (double_divide @ X2 @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X1 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl367])).
% 0.60/1.02 thf(zip_derived_cl216, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ X2 @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ X1 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl34])).
% 0.60/1.02 thf(zip_derived_cl435, plain,
% 0.60/1.02 (![X0 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('demod', [status(thm)], [zip_derived_cl428, zip_derived_cl216])).
% 0.60/1.02 thf(zip_derived_cl0, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.60/1.02 (double_divide @ X1 @ X2)))
% 0.60/1.02 = (X0))),
% 0.60/1.02 inference('cnf', [status(esa)], [single_axiom])).
% 0.60/1.02 thf(zip_derived_cl463, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl463, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl509, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 0.60/1.02 X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl463])).
% 0.60/1.02 thf(zip_derived_cl5, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @
% 0.60/1.02 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.60/1.02 (double_divide @ X2 @ X1))))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl628, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((double_divide @ X1 @ (double_divide @ X1 @ X0)) = (X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl509, zip_derived_cl5])).
% 0.60/1.02 thf(zip_derived_cl435, plain,
% 0.60/1.02 (![X0 : $i, X3 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('demod', [status(thm)], [zip_derived_cl428, zip_derived_cl216])).
% 0.60/1.02 thf(zip_derived_cl463, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.60/1.02 = (X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl0])).
% 0.60/1.02 thf(zip_derived_cl514, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 0.60/1.02 = (double_divide @ (inverse @ X1) @ X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl463])).
% 0.60/1.02 thf(zip_derived_cl514, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 0.60/1.02 = (double_divide @ (inverse @ X1) @ X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl463])).
% 0.60/1.02 thf(zip_derived_cl759, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ X0) @ X0)
% 0.60/1.02 = (double_divide @ (inverse @ X1) @ X1))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl514])).
% 0.60/1.02 thf(zip_derived_cl34, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.02 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.02 X0))),
% 0.60/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.02 thf(zip_derived_cl854, plain,
% 0.60/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.02 ((double_divide @
% 0.60/1.02 (inverse @
% 0.60/1.02 (double_divide @
% 0.60/1.02 (inverse @ (inverse @ (double_divide @ X2 @ X1))) @ X2)) @
% 0.60/1.02 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl34])).
% 0.60/1.03 thf(zip_derived_cl34, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.03 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.60/1.03 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.60/1.03 X0))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.60/1.03 thf(zip_derived_cl509, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i]:
% 0.60/1.03 ((inverse @
% 0.60/1.03 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 0.60/1.03 X1))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl463])).
% 0.60/1.03 thf(zip_derived_cl637, plain,
% 0.60/1.03 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl509])).
% 0.60/1.03 thf(zip_derived_cl463, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i]:
% 0.60/1.03 ((inverse @
% 0.60/1.03 (double_divide @
% 0.60/1.03 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.60/1.03 = (X1))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl0])).
% 0.60/1.03 thf(zip_derived_cl312, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/1.03 ((double_divide @
% 0.60/1.03 (inverse @
% 0.60/1.03 (double_divide @
% 0.60/1.03 (inverse @ (double_divide @ X1 @ (inverse @ X2))) @ X0)) @
% 0.60/1.03 (double_divide @ X1 @ X0)) = (X2))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl34])).
% 0.60/1.03 thf(zip_derived_cl508, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i]:
% 0.60/1.03 ((double_divide @ (inverse @ X0) @
% 0.60/1.03 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl312])).
% 0.60/1.03 thf(zip_derived_cl966, plain,
% 0.60/1.03 (![X1 : $i, X2 : $i]:
% 0.60/1.03 ((double_divide @ (double_divide @ X2 @ X1) @ X2) = (X1))),
% 0.60/1.03 inference('demod', [status(thm)],
% 0.60/1.03 [zip_derived_cl854, zip_derived_cl637, zip_derived_cl508])).
% 0.60/1.03 thf(zip_derived_cl1069, plain,
% 0.60/1.03 (![X0 : $i, X1 : $i]:
% 0.60/1.03 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 0.60/1.03 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl966])).
% 0.60/1.03 thf(zip_derived_cl1192, plain,
% 0.60/1.03 (((inverse @ (double_divide @ a @ b))
% 0.60/1.03 != (inverse @ (double_divide @ a @ b)))),
% 0.60/1.03 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl1069])).
% 0.60/1.03 thf(zip_derived_cl1193, plain, ($false),
% 0.60/1.03 inference('simplify', [status(thm)], [zip_derived_cl1192])).
% 0.60/1.03
% 0.60/1.03 % SZS output end Refutation
% 0.60/1.03
% 0.60/1.03
% 0.60/1.03 % Terminating...
% 0.61/1.08 % Runner terminated.
% 2.14/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------