TSTP Solution File: GRP609-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP609-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RJqfAG42B1 true
% Computer : n018.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 01:52:18 EDT 2023
% Result : Unsatisfiable 1.27s 0.96s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP609-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RJqfAG42B1 true
% 0.13/0.35 % Computer : n018.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 : Tue Aug 29 02:43:17 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
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.27/0.96 % Solved by fo/fo7.sh.
% 1.27/0.96 % done 50 iterations in 0.160s
% 1.27/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.96 % SZS output start Refutation
% 1.27/0.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.27/0.96 thf(b1_type, type, b1: $i).
% 1.27/0.96 thf(inverse_type, type, inverse: $i > $i).
% 1.27/0.96 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.27/0.96 thf(a1_type, type, a1: $i).
% 1.27/0.96 thf(prove_these_axioms_1, conjecture,
% 1.27/0.96 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 1.27/0.96 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 1.27/0.96 thf(zf_stmt_0, negated_conjecture,
% 1.27/0.96 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.27/0.96 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 1.27/0.96 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 1.27/0.96 thf(zip_derived_cl2, plain,
% 1.27/0.96 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 1.27/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.27/0.96 thf(multiply, axiom,
% 1.27/0.96 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.27/0.96 thf(zip_derived_cl1, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.27/0.96 inference('cnf', [status(esa)], [multiply])).
% 1.27/0.96 thf(zip_derived_cl1, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.27/0.96 inference('cnf', [status(esa)], [multiply])).
% 1.27/0.96 thf(zip_derived_cl3, plain,
% 1.27/0.96 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 1.27/0.96 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 1.27/0.96 inference('demod', [status(thm)],
% 1.27/0.96 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 1.27/0.96 thf(single_axiom, axiom,
% 1.27/0.96 (( inverse @
% 1.27/0.96 ( double_divide @
% 1.27/0.96 ( inverse @
% 1.27/0.96 ( double_divide @ ( inverse @ ( double_divide @ A @ B ) ) @ C ) ) @
% 1.27/0.96 ( double_divide @ A @ C ) ) ) =
% 1.27/0.96 ( B ))).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl5, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.27/0.96 (double_divide @ X2 @ X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl12, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ (double_divide @ X3 @ X2) @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 1.27/0.96 X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl5, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.27/0.96 (double_divide @ X2 @ X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl10, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @ X3 @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X3 @ X1)))) @
% 1.27/0.96 (double_divide @ X2 @ X0)))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl34, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.27/0.96 thf(zip_derived_cl5, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.27/0.96 (double_divide @ X2 @ X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl46, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X3 @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X3)) @
% 1.27/0.96 X0)))
% 1.27/0.96 = (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl5, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 1.27/0.96 (double_divide @ X2 @ X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl224, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ X2 @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ X1 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl34, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl57, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ (inverse @ X0) @
% 1.27/0.96 (double_divide @ X2 @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl224, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ X2 @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ X1 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl290, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ X2 @ X0)
% 1.27/0.96 = (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ X2 @ (inverse @ X1))) @
% 1.27/0.96 (inverse @ (double_divide @ X0 @ X1))))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl224])).
% 1.27/0.96 thf(zip_derived_cl34, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.27/0.96 thf(zip_derived_cl351, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ X1 @ (inverse @ X2))) @ X0)) @
% 1.27/0.96 (double_divide @ X1 @ X0)) = (X2))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl34])).
% 1.27/0.96 thf(zip_derived_cl12, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ (double_divide @ X3 @ X2) @
% 1.27/0.96 (double_divide @ X0 @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 1.27/0.96 X1))))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl414, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ (double_divide @ X2 @ X1) @
% 1.27/0.96 (double_divide @ (inverse @ X0) @ X0)))
% 1.27/0.96 = (double_divide @ X2 @ X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl12])).
% 1.27/0.96 thf(zip_derived_cl481, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3)))
% 1.27/0.96 = (double_divide @ X2 @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ X1 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl414])).
% 1.27/0.96 thf(zip_derived_cl224, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ X2 @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ X1 @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0))))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 1.27/0.96 thf(zip_derived_cl487, plain,
% 1.27/0.96 (![X0 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl224])).
% 1.27/0.96 thf(zip_derived_cl0, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @
% 1.27/0.96 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 1.27/0.96 (double_divide @ X1 @ X2)))
% 1.27/0.96 = (X0))),
% 1.27/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 1.27/0.96 thf(zip_derived_cl516, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl516, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl563, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 1.27/0.96 X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl516, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl970, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @ (double_divide @ X0 @ X1))
% 1.27/0.96 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl34, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.96 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 1.27/0.96 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.27/0.96 thf(zip_derived_cl563, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0))) = (
% 1.27/0.96 X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl516, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl975, plain,
% 1.27/0.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl563])).
% 1.27/0.96 thf(zip_derived_cl970, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @ (double_divide @ X0 @ X1))
% 1.27/0.96 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl975, plain,
% 1.27/0.96 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl563])).
% 1.27/0.96 thf(zip_derived_cl1082, plain,
% 1.27/0.96 (((double_divide @ (inverse @ a1) @ a1)
% 1.27/0.96 != (double_divide @ (inverse @ b1) @ b1))),
% 1.27/0.96 inference('demod', [status(thm)],
% 1.27/0.96 [zip_derived_cl3, zip_derived_cl970, zip_derived_cl975,
% 1.27/0.96 zip_derived_cl970, zip_derived_cl975])).
% 1.27/0.96 thf(zip_derived_cl487, plain,
% 1.27/0.96 (![X0 : $i, X3 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @ X0 @ (double_divide @ (inverse @ X3) @ X3))) = (
% 1.27/0.96 X0))),
% 1.27/0.96 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl224])).
% 1.27/0.96 thf(zip_derived_cl516, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @
% 1.27/0.96 (double_divide @
% 1.27/0.96 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 1.27/0.96 = (X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.27/0.96 thf(zip_derived_cl569, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 1.27/0.96 = (double_divide @ (inverse @ X1) @ X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl569, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 1.27/0.96 = (double_divide @ (inverse @ X1) @ X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 1.27/0.96 thf(zip_derived_cl665, plain,
% 1.27/0.96 (![X0 : $i, X1 : $i]:
% 1.27/0.96 ((double_divide @ (inverse @ X0) @ X0)
% 1.27/0.96 = (double_divide @ (inverse @ X1) @ X1))),
% 1.27/0.96 inference('sup+', [status(thm)], [zip_derived_cl569, zip_derived_cl569])).
% 1.27/0.96 thf(zip_derived_cl1083, plain, ($false),
% 1.27/0.96 inference('simplify_reflect+', [status(thm)],
% 1.27/0.96 [zip_derived_cl1082, zip_derived_cl665])).
% 1.27/0.96
% 1.27/0.96 % SZS output end Refutation
% 1.27/0.96
% 1.27/0.96
% 1.27/0.96 % Terminating...
% 2.05/1.08 % Runner terminated.
% 2.05/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------