%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP609-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Scqs4dnFoa true
% Computer : n026.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 2.72s 1.19s
% Output : Refutation 2.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.22 % Problem : GRP609-1 : TPTP v9.2.0. Released v2.6.0.
% 0.05/0.23 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Scqs4dnFoa true
% 0.11/0.43 % Computer : n026.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8042.1875MB
% 0.11/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Wed Oct 1 14:05:38 EDT 2025
% 0.11/0.43 % CPUTime :
% 0.11/0.43 % Running portfolio for 300 s
% 0.11/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43 % Number of cores: 8
% 0.11/0.43 % Python version: Python 3.6.8
% 0.11/0.43 % Running in FO mode
% 0.44/0.73 % Total configuration time : 435
% 0.44/0.73 % Estimated wc time : 1092
% 0.44/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.72/1.19 % Solved by fo/fo7.sh.
% 2.72/1.19 % done 50 iterations in 0.289s
% 2.72/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.72/1.19 % SZS output start Refutation
% 2.72/1.19 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.72/1.19 thf(b1_type, type, b1: $i).
% 2.72/1.19 thf(inverse_type, type, inverse: $i > $i).
% 2.72/1.19 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 2.72/1.19 thf(a1_type, type, a1: $i).
% 2.72/1.19 thf(prove_these_axioms_1, conjecture,
% 2.72/1.19 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 2.72/1.19 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 2.72/1.19 thf(zf_stmt_0, negated_conjecture,
% 2.72/1.19 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 2.72/1.19 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 2.72/1.19 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 2.72/1.19 thf(zip_derived_cl2, plain,
% 2.72/1.19 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 2.72/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.72/1.19 thf(multiply, axiom,
% 2.72/1.19 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 2.72/1.19 thf(zip_derived_cl1, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 2.72/1.19 inference('cnf', [status(esa)], [multiply])).
% 2.72/1.19 thf(zip_derived_cl1, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 2.72/1.19 inference('cnf', [status(esa)], [multiply])).
% 2.72/1.19 thf(zip_derived_cl3, plain,
% 2.72/1.19 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 2.72/1.19 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 2.72/1.19 inference('demod', [status(thm)],
% 2.72/1.19 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 2.72/1.19 thf(single_axiom, axiom,
% 2.72/1.19 (( inverse @
% 2.72/1.19 ( double_divide @
% 2.72/1.19 ( inverse @
% 2.72/1.19 ( double_divide @ ( inverse @ ( double_divide @ A @ B ) ) @ C ) ) @
% 2.72/1.19 ( double_divide @ A @ C ) ) ) =
% 2.72/1.19 ( B ))).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl5, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 2.72/1.19 (double_divide @ X2 @ X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl12, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ (double_divide @ X3 @ X2) @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 2.72/1.19 X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl5, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 2.72/1.19 (double_divide @ X2 @ X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl10, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @ X3 @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X1)))) @
% 2.72/1.19 (double_divide @ X2 @ X0)))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl34, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 2.72/1.19 thf(zip_derived_cl5, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 2.72/1.19 (double_divide @ X2 @ X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl46, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X3 @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X3)) @
% 2.72/1.19 X0)))
% 2.72/1.19 = (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl5, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 2.72/1.19 (double_divide @ X2 @ X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl224, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ X2 @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ X1 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl34, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl57, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ (inverse @ X0) @
% 2.72/1.19 (double_divide @ X2 @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl224, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ X2 @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ X1 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl290, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ X2 @ X0)
% 2.72/1.19 = (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ X2 @ (inverse @ X1))) @
% 2.72/1.19 (inverse @ (double_divide @ X0 @ X1))))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl224])).
% 2.72/1.19 thf(zip_derived_cl34, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 2.72/1.19 thf(zip_derived_cl351, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ X1 @ (inverse @ X2))) @ X0)) @
% 2.72/1.19 (double_divide @ X1 @ X0)) = (X2))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl34])).
% 2.72/1.19 thf(zip_derived_cl12, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ (double_divide @ X3 @ X2) @
% 2.72/1.19 (double_divide @ X0 @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 2.72/1.19 X1))))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl414, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ (double_divide @ X2 @ X1) @
% 2.72/1.19 (double_divide @ (inverse @ X0) @ X0)))
% 2.72/1.19 = (double_divide @ X2 @ X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl12])).
% 2.72/1.19 thf(zip_derived_cl481, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3)))
% 2.72/1.19 = (double_divide @ X2 @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ X1 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl414])).
% 2.72/1.19 thf(zip_derived_cl224, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ X2 @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ X1 @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 2.72/1.19 thf(zip_derived_cl487, plain,
% 2.72/1.19 (![X0 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl224])).
% 2.72/1.19 thf(zip_derived_cl0, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @
% 2.72/1.19 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 2.72/1.19 (double_divide @ X1 @ X2)))
% 2.72/1.19 = (X0))),
% 2.72/1.19 inference('cnf', [status(esa)], [single_axiom])).
% 2.72/1.19 thf(zip_derived_cl516, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl516, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl563, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 2.72/1.19 X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl516, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl970, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @ (double_divide @ X0 @ X1))
% 2.72/1.19 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl34, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.72/1.19 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 2.72/1.19 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 2.72/1.19 thf(zip_derived_cl563, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 2.72/1.19 X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl975, plain,
% 2.72/1.19 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl563])).
% 2.72/1.19 thf(zip_derived_cl970, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @ (double_divide @ X0 @ X1))
% 2.72/1.19 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl975, plain,
% 2.72/1.19 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl563])).
% 2.72/1.19 thf(zip_derived_cl1082, plain,
% 2.72/1.19 (((double_divide @ (inverse @ a1) @ a1)
% 2.72/1.19 != (double_divide @ (inverse @ b1) @ b1))),
% 2.72/1.19 inference('demod', [status(thm)],
% 2.72/1.19 [zip_derived_cl3, zip_derived_cl970, zip_derived_cl975,
% 2.72/1.19 zip_derived_cl970, zip_derived_cl975])).
% 2.72/1.19 thf(zip_derived_cl487, plain,
% 2.72/1.19 (![X0 : $i, X3 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 2.72/1.19 X0))),
% 2.72/1.19 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl224])).
% 2.72/1.19 thf(zip_derived_cl516, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @
% 2.72/1.19 (double_divide @
% 2.72/1.19 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 2.72/1.19 = (X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 2.72/1.19 thf(zip_derived_cl569, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 2.72/1.19 = (double_divide @ (inverse @ X1) @ X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl569, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 2.72/1.19 = (double_divide @ (inverse @ X1) @ X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 2.72/1.19 thf(zip_derived_cl665, plain,
% 2.72/1.19 (![X0 : $i, X1 : $i]:
% 2.72/1.19 ((double_divide @ (inverse @ X0) @ X0)
% 2.72/1.19 = (double_divide @ (inverse @ X1) @ X1))),
% 2.72/1.19 inference('sup+', [status(thm)], [zip_derived_cl569, zip_derived_cl569])).
% 2.72/1.19 thf(zip_derived_cl1083, plain, ($false),
% 2.72/1.19 inference('simplify_reflect+', [status(thm)],
% 2.72/1.19 [zip_derived_cl1082, zip_derived_cl665])).
% 2.72/1.19
% 2.72/1.19 % SZS output end Refutation
% 2.72/1.19
% 2.72/1.19
% 2.72/1.19 % Terminating...
% 2.95/1.34 % Runner terminated.
% 2.95/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------