TSTP Solution File: GRP615-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP615-1 : 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.cLuNgQRlMj true
% Computer : n004.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 01:52:20 EDT 2023
% Result : Unsatisfiable 15.27s 2.82s
% Output : Refutation 15.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP615-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cLuNgQRlMj true
% 0.13/0.34 % Computer : n004.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 21:09:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % 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
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 15.27/2.82 % Solved by fo/fo4.sh.
% 15.27/2.82 % done 944 iterations in 2.011s
% 15.27/2.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.27/2.82 % SZS output start Refutation
% 15.27/2.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 15.27/2.82 thf(b3_type, type, b3: $i).
% 15.27/2.82 thf(inverse_type, type, inverse: $i > $i).
% 15.27/2.82 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 15.27/2.82 thf(a3_type, type, a3: $i).
% 15.27/2.82 thf(c3_type, type, c3: $i).
% 15.27/2.82 thf(prove_these_axioms_3, conjecture,
% 15.27/2.82 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 15.27/2.82 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 15.27/2.82 thf(zf_stmt_0, negated_conjecture,
% 15.27/2.82 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 15.27/2.82 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 15.27/2.82 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 15.27/2.82 thf(zip_derived_cl2, plain,
% 15.27/2.82 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 15.27/2.82 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 15.27/2.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.27/2.82 thf(single_axiom, axiom,
% 15.27/2.82 (( double_divide @
% 15.27/2.82 ( inverse @
% 15.27/2.82 ( double_divide @
% 15.27/2.82 ( inverse @ ( double_divide @ A @ ( inverse @ B ) ) ) @ C ) ) @
% 15.27/2.82 ( double_divide @ A @ C ) ) =
% 15.27/2.82 ( B ))).
% 15.27/2.82 thf(zip_derived_cl0, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (inverse @
% 15.27/2.82 (double_divide @
% 15.27/2.82 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('cnf', [status(esa)], [single_axiom])).
% 15.27/2.82 thf(multiply, axiom,
% 15.27/2.82 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl5, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X2 @ X1) @
% 15.27/2.82 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X2))) = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl12, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((multiply @ X0 @
% 15.27/2.82 (multiply @ (double_divide @ X2 @ X3) @
% 15.27/2.82 (multiply @ (inverse @ X1) @
% 15.27/2.82 (multiply @ X3 @ (multiply @ (inverse @ X0) @ X2)))))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl4, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ (double_divide @ X3 @ X2) @
% 15.27/2.82 (multiply @ (inverse @ X1) @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X3)))) @
% 15.27/2.82 X0) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl175, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @
% 15.27/2.82 (double_divide @
% 15.27/2.82 (multiply @ X3 @ (multiply @ (inverse @ (inverse @ X1)) @ X2)) @
% 15.27/2.82 (double_divide @ X2 @ X3)) @
% 15.27/2.82 (inverse @ X0)) @
% 15.27/2.82 X0) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl202, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X0)
% 15.27/2.82 = (X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl12, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((multiply @ X0 @
% 15.27/2.82 (multiply @ (double_divide @ X2 @ X3) @
% 15.27/2.82 (multiply @ (inverse @ X1) @
% 15.27/2.82 (multiply @ X3 @ (multiply @ (inverse @ X0) @ X2)))))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 15.27/2.82 thf(zip_derived_cl12, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((multiply @ X0 @
% 15.27/2.82 (multiply @ (double_divide @ X2 @ X3) @
% 15.27/2.82 (multiply @ (inverse @ X1) @
% 15.27/2.82 (multiply @ X3 @ (multiply @ (inverse @ X0) @ X2)))))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 15.27/2.82 thf(zip_derived_cl181, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.82 ((multiply @ X0 @
% 15.27/2.82 (multiply @
% 15.27/2.82 (double_divide @
% 15.27/2.82 (multiply @ X3 @ (multiply @ (inverse @ (inverse @ X1)) @ X2)) @
% 15.27/2.82 (double_divide @ X2 @ X3)) @
% 15.27/2.82 (inverse @ X0)))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl12])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl193, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl225, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl260, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ X0) @
% 15.27/2.82 (double_divide @ (inverse @ X2) @ X2)) = (double_divide @ X0 @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl225])).
% 15.27/2.82 thf(zip_derived_cl202, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X0)
% 15.27/2.82 = (X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl367, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 15.27/2.82 (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl202])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl398, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0))
% 15.27/2.82 = (X0))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl464, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ (inverse @ X1)))
% 15.27/2.82 = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl5, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X2 @ X1) @
% 15.27/2.82 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X2))) = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl8, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (multiply @ (inverse @ X0) @ X2) @
% 15.27/2.82 (double_divide @ X2 @ (inverse @ X1))))
% 15.27/2.82 = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl502, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ (inverse @ X1))))
% 15.27/2.82 = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl8])).
% 15.27/2.82 thf(zip_derived_cl398, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0))
% 15.27/2.82 = (X0))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl521, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl502, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl536, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ (double_divide @ X0 @ X1)) @
% 15.27/2.82 (double_divide @ (multiply @ X1 @ X0) @ X2)) = (X2))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl521])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl538, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ X0) @
% 15.27/2.82 (double_divide @ (multiply @ X1 @ X0) @ X2)) = (X2))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl536, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1176, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ (inverse @ X0) @ (inverse @ X1)) @ X0)
% 15.27/2.82 = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl538])).
% 15.27/2.82 thf(zip_derived_cl398, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0))
% 15.27/2.82 = (X0))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl464, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ (inverse @ X1)))
% 15.27/2.82 = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1298, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X1)))
% 15.27/2.82 = (inverse @ (inverse @ X0)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl464])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1341, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1298, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl3, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((double_divide @
% 15.27/2.82 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X1)) @
% 15.27/2.82 (double_divide @ X1 @ X2)) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1881, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ X0 @
% 15.27/2.82 (double_divide @ (inverse @ (inverse @ X1)) @ X0)) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1341, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1928, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1881, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl464, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ (inverse @ X1)))
% 15.27/2.82 = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl5, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X2 @ X1) @
% 15.27/2.82 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X2))) = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl5, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X2 @ X1) @
% 15.27/2.82 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X2))) = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl9, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @
% 15.27/2.82 (double_divide @ (multiply @ (inverse @ X0) @ X2) @
% 15.27/2.82 (double_divide @ X2 @ (inverse @ X1))) @
% 15.27/2.82 (inverse @ X0)) = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl5])).
% 15.27/2.82 thf(zip_derived_cl503, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @
% 15.27/2.82 (double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (multiply @ X2 @ (inverse @ X2)) @ (inverse @ X1))) @
% 15.27/2.82 (inverse @ X0)) = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl9])).
% 15.27/2.82 thf(zip_derived_cl398, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0))
% 15.27/2.82 = (X0))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl522, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ (inverse @ X0) @ X1) @ (inverse @ X0))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl503, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1301, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ (inverse @ (inverse @ X0)) @ X1) @ X0)
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl522])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1344, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X0 @ X1) @ X0) = (inverse @ X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1301, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl2106, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1928, zip_derived_cl1344])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl2875, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2106, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl2875, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2106, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl3012, plain,
% 15.27/2.82 (((multiply @ c3 @ (multiply @ b3 @ a3))
% 15.27/2.82 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl2, zip_derived_cl2875, zip_derived_cl2875])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl5, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X2 @ X1) @
% 15.27/2.82 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X2))) = (inverse @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl1285, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X1 @ X2) @
% 15.27/2.82 (multiply @ X2 @ (multiply @ X0 @ X1))) = (inverse @ (inverse @ X0)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl5])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1333, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X1 @ X2) @
% 15.27/2.82 (multiply @ X2 @ (multiply @ X0 @ X1))) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1285, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1344, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X0 @ X1) @ X0) = (inverse @ X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1301, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl193, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 15.27/2.82 = (inverse @ X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl3])).
% 15.27/2.82 thf(zip_derived_cl1312, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1)))
% 15.27/2.82 = (inverse @ (inverse @ X0)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl193])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1348, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1312, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1986, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ (inverse @ X0))
% 15.27/2.82 = (double_divide @ (inverse @ X1) @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1344, zip_derived_cl1348])).
% 15.27/2.82 thf(zip_derived_cl5412, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0)
% 15.27/2.82 = (double_divide @ (inverse @ X1) @ (inverse @ X0)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl1986])).
% 15.27/2.82 thf(zip_derived_cl1928, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1881, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl521, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ X0) @
% 15.27/2.82 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)], [zip_derived_cl502, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1299, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ (inverse @ (inverse @ X0)) @
% 15.27/2.82 (double_divide @ X0 @ X1)) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl521])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1342, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1299, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl2105, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1928, zip_derived_cl1342])).
% 15.27/2.82 thf(zip_derived_cl1348, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1312, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1348, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl1312, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl1993, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl1348])).
% 15.27/2.82 thf(zip_derived_cl2377, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (inverse @ (multiply @ X0 @ (inverse @ X1))) @ X0) = (X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1348, zip_derived_cl1993])).
% 15.27/2.82 thf(zip_derived_cl1, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('cnf', [status(esa)], [multiply])).
% 15.27/2.82 thf(zip_derived_cl1269, plain,
% 15.27/2.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1176, zip_derived_cl398])).
% 15.27/2.82 thf(zip_derived_cl1330, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1269])).
% 15.27/2.82 thf(zip_derived_cl2396, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0) = (X1))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl2377, zip_derived_cl1330])).
% 15.27/2.82 thf(zip_derived_cl4606, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (double_divide @ X1 @ (inverse @ X0)) @ X1) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2105, zip_derived_cl2396])).
% 15.27/2.82 thf(zip_derived_cl7153, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X1)) = (X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl5412, zip_derived_cl4606])).
% 15.27/2.82 thf(zip_derived_cl9995, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 15.27/2.82 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1333, zip_derived_cl7153])).
% 15.27/2.82 thf(zip_derived_cl2106, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]:
% 15.27/2.82 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X0 @ X1)))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl1928, zip_derived_cl1344])).
% 15.27/2.82 thf(zip_derived_cl10179, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 15.27/2.82 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl9995, zip_derived_cl2106])).
% 15.27/2.82 thf(zip_derived_cl2875, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2106, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl10179, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 15.27/2.82 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl9995, zip_derived_cl2106])).
% 15.27/2.82 thf(zip_derived_cl2875, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2106, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl10179, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.82 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 15.27/2.82 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl9995, zip_derived_cl2106])).
% 15.27/2.82 thf(zip_derived_cl2875, plain,
% 15.27/2.82 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 15.27/2.82 inference('sup+', [status(thm)], [zip_derived_cl2106, zip_derived_cl1])).
% 15.27/2.82 thf(zip_derived_cl10660, plain,
% 15.27/2.82 (((multiply @ b3 @ (multiply @ c3 @ a3))
% 15.27/2.82 != (multiply @ b3 @ (multiply @ c3 @ a3)))),
% 15.27/2.82 inference('demod', [status(thm)],
% 15.27/2.82 [zip_derived_cl3012, zip_derived_cl10179, zip_derived_cl2875,
% 15.27/2.82 zip_derived_cl10179, zip_derived_cl2875, zip_derived_cl10179,
% 15.27/2.82 zip_derived_cl2875])).
% 15.27/2.82 thf(zip_derived_cl10661, plain, ($false),
% 15.27/2.82 inference('simplify', [status(thm)], [zip_derived_cl10660])).
% 15.27/2.82
% 15.27/2.82 % SZS output end Refutation
% 15.27/2.82
% 15.27/2.82
% 15.27/2.82 % Terminating...
% 15.73/2.85 % Runner terminated.
% 15.73/2.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------