TSTP Solution File: GRP596-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP596-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LzxP9aBLvf true
% Computer : n021.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 01:52:15 EDT 2023
% Result : Unsatisfiable 1.22s 0.83s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP596-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LzxP9aBLvf true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:02:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.83 % Solved by fo/fo5.sh.
% 1.22/0.83 % done 34 iterations in 0.073s
% 1.22/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.83 % SZS output start Refutation
% 1.22/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.22/0.83 thf(b_type, type, b: $i).
% 1.22/0.83 thf(inverse_type, type, inverse: $i > $i).
% 1.22/0.83 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.22/0.83 thf(a_type, type, a: $i).
% 1.22/0.83 thf(prove_these_axioms_4, conjecture,
% 1.22/0.83 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.22/0.83 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.83 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.22/0.83 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.22/0.83 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.22/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.83 thf(single_axiom, axiom,
% 1.22/0.83 (( inverse @
% 1.22/0.83 ( double_divide @
% 1.22/0.83 ( double_divide @ A @ B ) @
% 1.22/0.83 ( inverse @
% 1.22/0.83 ( double_divide @ A @ ( inverse @ ( double_divide @ C @ B ) ) ) ) ) ) =
% 1.22/0.83 ( C ))).
% 1.22/0.83 thf(zip_derived_cl0, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((inverse @
% 1.22/0.83 (double_divide @ (double_divide @ X1 @ X2) @
% 1.22/0.83 (inverse @
% 1.22/0.83 (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.22/0.83 = (X0))),
% 1.22/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.22/0.83 thf(multiply, axiom,
% 1.22/0.83 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl3, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @
% 1.22/0.83 (double_divide @ X1 @ X2)) = (X0))),
% 1.22/0.83 inference('demod', [status(thm)],
% 1.22/0.83 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 1.22/0.83 zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl3, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @
% 1.22/0.83 (double_divide @ X1 @ X2)) = (X0))),
% 1.22/0.83 inference('demod', [status(thm)],
% 1.22/0.83 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 1.22/0.83 zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl5, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X0 @
% 1.22/0.83 (double_divide @ (double_divide @ X1 @ X2) @ (multiply @ X2 @ X0)))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl3, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @
% 1.22/0.83 (double_divide @ X1 @ X2)) = (X0))),
% 1.22/0.83 inference('demod', [status(thm)],
% 1.22/0.83 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 1.22/0.83 zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl3, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @
% 1.22/0.83 (double_divide @ X1 @ X2)) = (X0))),
% 1.22/0.83 inference('demod', [status(thm)],
% 1.22/0.83 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 1.22/0.83 zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl4, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ X0 @ X3) @
% 1.22/0.83 (double_divide @ X3 @ (multiply @ (multiply @ X1 @ X0) @ X2)))
% 1.22/0.83 = (double_divide @ X2 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl4, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ X0 @ X3) @
% 1.22/0.83 (double_divide @ X3 @ (multiply @ (multiply @ X1 @ X0) @ X2)))
% 1.22/0.83 = (double_divide @ X2 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl35, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X1)
% 1.22/0.83 = (double_divide @ (double_divide @ (multiply @ X2 @ X1) @ X0) @
% 1.22/0.83 (multiply @ X0 @ X2)))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl19])).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl42, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ X2 @ X1) @
% 1.22/0.83 (double_divide @ (multiply @ X1 @ X0) @ X2)) = (inverse @ X0))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl3, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @
% 1.22/0.83 (double_divide @ X1 @ X2)) = (X0))),
% 1.22/0.83 inference('demod', [status(thm)],
% 1.22/0.83 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 1.22/0.83 zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl81, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ X0) @
% 1.22/0.83 (double_divide @ (double_divide @ (multiply @ X1 @ X0) @ X2) @ X2))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl81, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ X0) @
% 1.22/0.83 (double_divide @ (double_divide @ (multiply @ X1 @ X0) @ X2) @ X2))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl109, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((double_divide @ (multiply @ X0 @ X2) @
% 1.22/0.83 (multiply @ X1 @ (inverse @ X2))) = (double_divide @ X0 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl19])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl130, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X2)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ (inverse @ X2) @ (double_divide @ X1 @ X0)) @ X0))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl19])).
% 1.22/0.83 thf(zip_derived_cl187, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (double_divide @ (multiply @ X0 @ X2) @ X1) @ X2)
% 1.22/0.83 = (double_divide @ X0 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl130])).
% 1.22/0.83 thf(zip_derived_cl211, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X0 @ (double_divide @ X0 @ (multiply @ X1 @ X2)))
% 1.22/0.83 = (double_divide @ X2 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl187])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl31, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X1 @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))))
% 1.22/0.83 = (inverse @ X0))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl239, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X0 @ (double_divide @ X1 @ X0)) = (inverse @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl31])).
% 1.22/0.83 thf(zip_derived_cl81, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ X0) @
% 1.22/0.83 (double_divide @ (double_divide @ (multiply @ X1 @ X0) @ X2) @ X2))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl211, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X0 @ (double_divide @ X0 @ (multiply @ X1 @ X2)))
% 1.22/0.83 = (double_divide @ X2 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl187])).
% 1.22/0.83 thf(zip_derived_cl5, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X0 @
% 1.22/0.83 (double_divide @ (double_divide @ X1 @ X2) @ (multiply @ X2 @ X0)))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.22/0.83 thf(zip_derived_cl237, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((double_divide @ (double_divide @ X1 @ X0) @ X0) = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl5])).
% 1.22/0.83 thf(zip_derived_cl264, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.22/0.83 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl237])).
% 1.22/0.83 thf(zip_derived_cl456, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ (double_divide @ X0 @ X1)) @ (inverse @ X0))
% 1.22/0.83 = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl264])).
% 1.22/0.83 thf(zip_derived_cl1, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.22/0.83 inference('cnf', [status(esa)], [multiply])).
% 1.22/0.83 thf(zip_derived_cl487, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 1.22/0.83 inference('demod', [status(thm)], [zip_derived_cl456, zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl31, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X1 @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))))
% 1.22/0.83 = (inverse @ X0))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl211, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ X0 @ (double_divide @ X0 @ (multiply @ X1 @ X2)))
% 1.22/0.83 = (double_divide @ X2 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl187])).
% 1.22/0.83 thf(zip_derived_cl42, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((multiply @ (multiply @ X2 @ X1) @
% 1.22/0.83 (double_divide @ (multiply @ X1 @ X0) @ X2)) = (inverse @ X0))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 1.22/0.83 thf(zip_derived_cl243, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((double_divide @ X1 @ X0) = (inverse @ (multiply @ X0 @ X1)))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl42])).
% 1.22/0.83 thf(zip_derived_cl284, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((double_divide @
% 1.22/0.83 (multiply @ X1 @ (double_divide @ X0 @ (multiply @ X2 @ X1))) @ X2)
% 1.22/0.83 = (inverse @ (inverse @ X0)))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl243])).
% 1.22/0.83 thf(zip_derived_cl19, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.83 ((X0)
% 1.22/0.83 = (double_divide @
% 1.22/0.83 (multiply @ X2 @ (double_divide @ X0 @ (multiply @ X1 @ X2))) @
% 1.22/0.83 X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.22/0.83 thf(zip_derived_cl291, plain,
% 1.22/0.83 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.22/0.83 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl19])).
% 1.22/0.83 thf(zip_derived_cl264, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.22/0.83 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl237])).
% 1.22/0.83 thf(zip_derived_cl408, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]:
% 1.22/0.83 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl291, zip_derived_cl264])).
% 1.22/0.83 thf(zip_derived_cl513, plain,
% 1.22/0.83 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.22/0.83 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl408])).
% 1.22/0.83 thf(zip_derived_cl549, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 1.22/0.83 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl513])).
% 1.22/0.83 thf(zip_derived_cl550, plain, ($false),
% 1.22/0.83 inference('simplify', [status(thm)], [zip_derived_cl549])).
% 1.22/0.83
% 1.22/0.83 % SZS output end Refutation
% 1.22/0.83
% 1.22/0.83
% 1.22/0.83 % Terminating...
% 1.49/0.94 % Runner terminated.
% 1.49/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------