%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP616-1 : 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.RvjZY8D2dy true
% Computer : n005.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 04:36:47 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.94s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP616-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RvjZY8D2dy true
% 0.14/0.35 % Computer : n005.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 14:24:38 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.93 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/0.94 % Solved by fo/fo7.sh.
% 0.58/0.94 % done 64 iterations in 0.124s
% 0.58/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.94 % SZS output start Refutation
% 0.58/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.94 thf(b_type, type, b: $i).
% 0.58/0.94 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.94 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/0.94 thf(a_type, type, a: $i).
% 0.58/0.94 thf(prove_these_axioms_4, conjecture,
% 0.58/0.94 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.58/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.94 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.58/0.94 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.58/0.94 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.58/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.94 thf(multiply, axiom,
% 0.58/0.94 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.58/0.94 thf(zip_derived_cl1, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.94 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.94 thf(zip_derived_cl1, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.94 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.94 thf(zip_derived_cl3, plain,
% 0.58/0.94 (((inverse @ (double_divide @ b @ a))
% 0.58/0.94 != (inverse @ (double_divide @ a @ b)))),
% 0.58/0.94 inference('demod', [status(thm)],
% 0.58/0.94 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.58/0.94 thf(single_axiom, axiom,
% 0.58/0.94 (( double_divide @
% 0.58/0.94 ( inverse @
% 0.58/0.94 ( double_divide @
% 0.58/0.94 ( inverse @ ( double_divide @ A @ ( inverse @ B ) ) ) @ C ) ) @
% 0.58/0.94 ( double_divide @ A @ C ) ) =
% 0.58/0.94 ( B ))).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl4, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (inverse @ X1))) @
% 0.58/0.94 (double_divide @ X3 @ X2))) @
% 0.58/0.94 X0) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl4, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (inverse @ X1))) @
% 0.58/0.94 (double_divide @ X3 @ X2))) @
% 0.58/0.94 X0) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl26, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X3 @ (inverse @ (inverse @ X1)))) @
% 0.58/0.94 X2)) @
% 0.58/0.94 (double_divide @ X3 @ X2)))) @
% 0.58/0.94 X0) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl31, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl42, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl31, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl54, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/0.94 (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl63, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @
% 0.58/0.94 (inverse @ X1))) @
% 0.58/0.94 (inverse @ X0))) @
% 0.58/0.94 X0) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl54, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/0.94 (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.58/0.94 thf(zip_derived_cl77, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl54, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/0.94 (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.58/0.94 thf(zip_derived_cl170, plain,
% 0.58/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl77, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl5, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.58/0.94 (double_divide @ X2 @ (inverse @ X1))))
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl0, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.58/0.94 (double_divide @ X1 @ X2)) = (X0))),
% 0.58/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.94 thf(zip_derived_cl9, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ X3 @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @
% 0.58/0.94 (double_divide @ X2 @
% 0.58/0.94 (inverse @ (double_divide @ X3 @ (inverse @ X1))))) @
% 0.58/0.94 (double_divide @ X2 @ (inverse @ X0)))))
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl166, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X1) @
% 0.58/0.94 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl9])).
% 0.58/0.94 thf(zip_derived_cl170, plain,
% 0.58/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl42, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl54, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/0.94 (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.58/0.94 thf(zip_derived_cl5, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.58/0.94 (double_divide @ X2 @ (inverse @ X1))))
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl67, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @ (inverse @ X1))))
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 0.58/0.94 thf(zip_derived_cl54, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.58/0.94 (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.58/0.94 thf(zip_derived_cl79, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl93, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @ X0)
% 0.58/0.94 = (double_divide @ (inverse @ X1) @ X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl79])).
% 0.58/0.94 thf(zip_derived_cl189, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ X0 @ (inverse @ X0))
% 0.58/0.94 = (double_divide @ (inverse @ X1) @ X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.58/0.94 thf(zip_derived_cl347, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X1) @
% 0.58/0.94 (double_divide @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl189])).
% 0.58/0.94 thf(zip_derived_cl5, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @
% 0.58/0.94 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.58/0.94 (double_divide @ X2 @ (inverse @ X1))))
% 0.58/0.94 = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.94 thf(zip_derived_cl364, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ X1 @ (inverse @ X0))) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl347, zip_derived_cl5])).
% 0.58/0.94 thf(zip_derived_cl395, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (inverse @ X0)) @
% 0.58/0.94 (double_divide @ X1 @ X0)) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl364])).
% 0.58/0.94 thf(zip_derived_cl170, plain,
% 0.58/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl404, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl170])).
% 0.58/0.94 thf(zip_derived_cl170, plain,
% 0.58/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl79, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ X0) @
% 0.58/0.94 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl187, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ (inverse @ (inverse @ X0)) @
% 0.58/0.94 (double_divide @ X0 @ X1)) = (X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl79])).
% 0.58/0.94 thf(zip_derived_cl170, plain,
% 0.58/0.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.58/0.94 thf(zip_derived_cl204, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 0.58/0.94 thf(zip_derived_cl407, plain,
% 0.58/0.94 (![X0 : $i, X1 : $i]:
% 0.58/0.94 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 0.58/0.94 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 0.58/0.94 thf(zip_derived_cl436, plain,
% 0.58/0.94 (((inverse @ (double_divide @ a @ b))
% 0.58/0.94 != (inverse @ (double_divide @ a @ b)))),
% 0.58/0.94 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl407])).
% 0.58/0.94 thf(zip_derived_cl437, plain, ($false),
% 0.58/0.94 inference('simplify', [status(thm)], [zip_derived_cl436])).
% 0.58/0.94
% 0.58/0.94 % SZS output end Refutation
% 0.58/0.94
% 0.58/0.94
% 0.58/0.94 % Terminating...
% 1.68/1.14 % Runner terminated.
% 1.72/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------