TSTP Solution File: GRP604-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3T3Cmc2Cmz true
% Computer : n006.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 01:52:17 EDT 2023
% Result : Unsatisfiable 0.59s 0.91s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3T3Cmc2Cmz true
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 01:42:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.91 % Solved by fo/fo5.sh.
% 0.59/0.91 % done 48 iterations in 0.111s
% 0.59/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.91 % SZS output start Refutation
% 0.59/0.91 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.91 thf(b_type, type, b: $i).
% 0.59/0.91 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.91 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.59/0.91 thf(a_type, type, a: $i).
% 0.59/0.91 thf(prove_these_axioms_4, conjecture,
% 0.59/0.91 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.59/0.91 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.91 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.59/0.91 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.59/0.91 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.59/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.91 thf(single_axiom, axiom,
% 0.59/0.91 (( inverse @
% 0.59/0.91 ( double_divide @
% 0.59/0.91 ( inverse @
% 0.59/0.91 ( double_divide @
% 0.59/0.91 A @
% 0.59/0.91 ( inverse @ ( double_divide @ B @ ( double_divide @ A @ C ) ) ) ) ) @
% 0.59/0.91 C ) ) =
% 0.59/0.91 ( B ))).
% 0.59/0.91 thf(zip_derived_cl0, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((inverse @
% 0.59/0.91 (double_divide @
% 0.59/0.91 (inverse @
% 0.59/0.91 (double_divide @ X1 @
% 0.59/0.91 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 0.59/0.91 X2))
% 0.59/0.91 = (X0))),
% 0.59/0.91 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.91 thf(multiply, axiom,
% 0.59/0.91 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl3, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ X2 @
% 0.59/0.91 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.59/0.91 = (X0))),
% 0.59/0.91 inference('demod', [status(thm)],
% 0.59/0.91 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.59/0.91 zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl3, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ X2 @
% 0.59/0.91 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.59/0.91 = (X0))),
% 0.59/0.91 inference('demod', [status(thm)],
% 0.59/0.91 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.59/0.91 zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl4, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.91 ((multiply @ X2 @ (multiply @ X0 @ X3))
% 0.59/0.91 = (multiply @
% 0.59/0.91 (multiply @ (double_divide @ X1 @ (double_divide @ X3 @ X2)) @ X0) @
% 0.59/0.91 X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl3, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ X2 @
% 0.59/0.91 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.59/0.91 = (X0))),
% 0.59/0.91 inference('demod', [status(thm)],
% 0.59/0.91 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.59/0.91 zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl6, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X0 @ X2) @
% 0.59/0.91 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl6, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X0 @ X2) @
% 0.59/0.91 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl10, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 0.59/0.91 X0) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl6, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X0 @ X2) @
% 0.59/0.91 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl6, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X0 @ X2) @
% 0.59/0.91 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl9, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 0.59/0.91 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl9, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ (multiply @ X1 @ (multiply @ X0 @ X2)) @ X3) @
% 0.59/0.91 (multiply @ X3 @ X0)) = (double_divide @ X2 @ X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl62, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X1)
% 0.59/0.91 = (double_divide @ (multiply @ X0 @ X2) @
% 0.59/0.91 (double_divide @ X2 @ (multiply @ X1 @ X0))))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl36])).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl70, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 0.59/0.91 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl6, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X0 @ X2) @
% 0.59/0.91 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.59/0.91 thf(zip_derived_cl119, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ X2 @ (double_divide @ X2 @ (multiply @ X0 @ X1))) @
% 0.59/0.91 (inverse @ X0)) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl119, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ X2 @ (double_divide @ X2 @ (multiply @ X0 @ X1))) @
% 0.59/0.91 (inverse @ X0)) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl182, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((double_divide @ (multiply @ (inverse @ X1) @ X2) @
% 0.59/0.91 (multiply @ X1 @ X0)) = (double_divide @ X2 @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl36])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl211, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ X2 @ X0)
% 0.59/0.91 = (double_divide @ X1 @
% 0.59/0.91 (multiply @ (double_divide @ X1 @ X0) @ (inverse @ X2))))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl36])).
% 0.59/0.91 thf(zip_derived_cl245, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ X1 @ (double_divide @ X2 @ (multiply @ X1 @ X0)))
% 0.59/0.91 = (double_divide @ X2 @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl211])).
% 0.59/0.91 thf(zip_derived_cl296, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X0)
% 0.59/0.91 = (double_divide @ X2 @ X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl245])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl55, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1) @ X2)
% 0.59/0.91 = (inverse @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl412, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl55])).
% 0.59/0.91 thf(zip_derived_cl119, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @
% 0.59/0.91 (double_divide @ X2 @ (double_divide @ X2 @ (multiply @ X0 @ X1))) @
% 0.59/0.91 (inverse @ X0)) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl6])).
% 0.59/0.91 thf(zip_derived_cl296, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X0)
% 0.59/0.91 = (double_divide @ X2 @ X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl245])).
% 0.59/0.91 thf(zip_derived_cl36, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((X0)
% 0.59/0.91 = (double_divide @ X2 @
% 0.59/0.91 (multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.59/0.91 thf(zip_derived_cl411, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl36])).
% 0.59/0.91 thf(zip_derived_cl442, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 0.59/0.91 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl411])).
% 0.59/0.91 thf(zip_derived_cl508, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (inverse @ X0) @ (inverse @ (double_divide @ X1 @ X0)))
% 0.59/0.91 = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl442])).
% 0.59/0.91 thf(zip_derived_cl1, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.91 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.91 thf(zip_derived_cl536, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.59/0.91 inference('demod', [status(thm)], [zip_derived_cl508, zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl412, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl55])).
% 0.59/0.91 thf(zip_derived_cl296, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ (multiply @ X1 @ X2) @ X0) @ X0)
% 0.59/0.91 = (double_divide @ X2 @ X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl245])).
% 0.59/0.91 thf(zip_derived_cl70, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.91 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 0.59/0.91 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl1])).
% 0.59/0.91 thf(zip_derived_cl416, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((double_divide @ X1 @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl70])).
% 0.59/0.91 thf(zip_derived_cl643, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((double_divide @ X1 @ (double_divide @ X1 @ X0))
% 0.59/0.91 = (inverse @ (inverse @ X0)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl416])).
% 0.59/0.91 thf(zip_derived_cl411, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl36])).
% 0.59/0.91 thf(zip_derived_cl655, plain,
% 0.59/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.91 inference('demod', [status(thm)], [zip_derived_cl643, zip_derived_cl411])).
% 0.59/0.91 thf(zip_derived_cl442, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 0.59/0.91 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl411])).
% 0.59/0.91 thf(zip_derived_cl663, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]:
% 0.59/0.91 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl655, zip_derived_cl442])).
% 0.59/0.91 thf(zip_derived_cl783, plain,
% 0.59/0.91 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.59/0.91 inference('sup+', [status(thm)], [zip_derived_cl536, zip_derived_cl663])).
% 0.59/0.91 thf(zip_derived_cl796, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 0.59/0.91 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl783])).
% 0.59/0.91 thf(zip_derived_cl797, plain, ($false),
% 0.59/0.91 inference('simplify', [status(thm)], [zip_derived_cl796])).
% 0.59/0.91
% 0.59/0.91 % SZS output end Refutation
% 0.59/0.91
% 0.59/0.91
% 0.59/0.91 % Terminating...
% 0.63/0.97 % Runner terminated.
% 1.88/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------