TSTP Solution File: GRP077-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EEriokV8ar true
% Computer : n010.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 01:49:50 EDT 2023
% Result : Unsatisfiable 0.58s 1.06s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP077-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EEriokV8ar true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:03:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.06 % Solved by fo/fo5.sh.
% 0.58/1.06 % done 546 iterations in 0.260s
% 0.58/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.06 % SZS output start Refutation
% 0.58/1.06 thf(a3_type, type, a3: $i).
% 0.58/1.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/1.06 thf(identity_type, type, identity: $i).
% 0.58/1.06 thf(c3_type, type, c3: $i).
% 0.58/1.06 thf(a2_type, type, a2: $i).
% 0.58/1.06 thf(a1_type, type, a1: $i).
% 0.58/1.06 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/1.06 thf(inverse_type, type, inverse: $i > $i).
% 0.58/1.06 thf(b3_type, type, b3: $i).
% 0.58/1.06 thf(prove_these_axioms, conjecture,
% 0.58/1.06 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.58/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.58/1.06 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 0.58/1.06 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 0.58/1.06 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.06 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.58/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.58/1.06 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 0.58/1.06 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 0.58/1.06 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 0.58/1.06 thf(zip_derived_cl4, plain,
% 0.58/1.06 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.58/1.06 | ((multiply @ identity @ a2) != (a2))
% 0.58/1.06 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 0.58/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.06 thf(inverse, axiom, (( inverse @ X ) = ( double_divide @ X @ identity ))).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(multiply, axiom,
% 0.58/1.06 (( multiply @ X @ Y ) =
% 0.58/1.06 ( double_divide @ ( double_divide @ Y @ X ) @ identity ))).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl7, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ identity @ X0)
% 0.58/1.06 = (double_divide @ (inverse @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl10, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl22, plain,
% 0.58/1.06 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.58/1.06 | ((inverse @ (inverse @ a2)) != (a2))
% 0.58/1.06 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.58/1.06 thf(identity, axiom,
% 0.58/1.06 (( identity ) = ( double_divide @ X @ ( inverse @ X ) ))).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl28, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl66, plain,
% 0.58/1.06 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.58/1.06 | ((inverse @ (inverse @ a2)) != (a2))
% 0.58/1.06 | ((inverse @ identity) != (identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl28])).
% 0.58/1.06 thf(zip_derived_cl28, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl30, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((identity)
% 0.58/1.06 = (double_divide @ identity @ (multiply @ (inverse @ X0) @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(single_axiom, axiom,
% 0.58/1.06 (( double_divide @
% 0.58/1.06 X @
% 0.58/1.06 ( double_divide @
% 0.58/1.06 ( double_divide @
% 0.58/1.06 ( double_divide @
% 0.58/1.06 identity @
% 0.58/1.06 ( double_divide @
% 0.58/1.06 ( double_divide @ X @ identity ) @ ( double_divide @ Y @ Z ) ) ) @
% 0.58/1.06 Y ) @
% 0.58/1.06 identity ) ) =
% 0.58/1.06 ( Z ))).
% 0.58/1.06 thf(zip_derived_cl0, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (double_divide @
% 0.58/1.06 (double_divide @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (double_divide @ X1 @ identity) @
% 0.58/1.06 (double_divide @ X2 @ X0))) @
% 0.58/1.06 X2) @
% 0.58/1.06 identity))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl18, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ identity))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl647, plain,
% 0.58/1.06 (((identity)
% 0.58/1.06 = (inverse @
% 0.58/1.06 (inverse @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ identity))))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl661, plain,
% 0.58/1.06 (((identity)
% 0.58/1.06 = (inverse @ (multiply @ (inverse @ (inverse @ identity)) @ identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl647, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl28, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl28, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl33, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl16, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (inverse @ X0)))))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl308, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ X0 @
% 0.58/1.06 (multiply @ (inverse @ X0) @ (double_divide @ identity @ identity)))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl316, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ X0 @
% 0.58/1.06 (multiply @ (inverse @ X0) @ (inverse @ identity))) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl334, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ (inverse @ identity) @
% 0.58/1.06 (multiply @ (inverse @ X0) @ X0)) = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl316])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl648, plain,
% 0.58/1.06 (((identity)
% 0.58/1.06 = (inverse @
% 0.58/1.06 (inverse @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (inverse @ (inverse @ (inverse @ identity)))))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl28, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl316, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ X0 @
% 0.58/1.06 (multiply @ (inverse @ X0) @ (inverse @ identity))) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl333, plain,
% 0.58/1.06 (((double_divide @ (inverse @ identity) @ (inverse @ identity))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl316])).
% 0.58/1.06 thf(zip_derived_cl16, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (inverse @ X0)))))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl354, plain,
% 0.58/1.06 (((double_divide @ identity @
% 0.58/1.06 (multiply @ identity @ (double_divide @ identity @ identity)))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl333, zip_derived_cl16])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl10, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl362, plain,
% 0.58/1.06 (((double_divide @ identity @
% 0.58/1.06 (inverse @ (inverse @ (inverse @ identity)))) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl354, zip_derived_cl2, zip_derived_cl10])).
% 0.58/1.06 thf(zip_derived_cl662, plain,
% 0.58/1.06 (((identity) = (inverse @ (inverse @ identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl362])).
% 0.58/1.06 thf(zip_derived_cl10, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl662, plain,
% 0.58/1.06 (((identity) = (inverse @ (inverse @ identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl362])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl727, plain,
% 0.58/1.06 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.58/1.06 | ((inverse @ (inverse @ a2)) != (a2))
% 0.58/1.06 | ((identity) != (identity)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl728, plain,
% 0.58/1.06 ((((inverse @ (inverse @ a2)) != (a2))
% 0.58/1.06 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.58/1.06 inference('simplify', [status(thm)], [zip_derived_cl727])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl316, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ X0 @
% 0.58/1.06 (multiply @ (inverse @ X0) @ (inverse @ identity))) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl729, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ X0 @ (multiply @ (inverse @ X0) @ identity))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl316, zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl866, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ identity))))
% 0.58/1.06 = (multiply @ (inverse @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl729, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl882, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (multiply @ (inverse @ X0) @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl866, zip_derived_cl2, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl898, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((inverse @ (double_divide @ X0 @ X1))
% 0.58/1.06 = (multiply @ (multiply @ X1 @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl882])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl900, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0) = (multiply @ (multiply @ X1 @ X0) @ identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl898, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl747, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @
% 0.58/1.06 (multiply @ X0 @ (double_divide @ identity @ (inverse @ identity))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl756, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (multiply @ X0 @ identity))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl747, zip_derived_cl723, zip_derived_cl2,
% 0.58/1.06 zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl848, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X0 @ identity) @ identity)
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl756, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl1036, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl900, zip_derived_cl848])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl882, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (multiply @ (inverse @ X0) @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl866, zip_derived_cl2, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl756, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (multiply @ X0 @ identity))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl747, zip_derived_cl723, zip_derived_cl2,
% 0.58/1.06 zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl896, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (inverse @ X0))
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl756])).
% 0.58/1.06 thf(zip_derived_cl1012, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (multiply @ X1 @ X0))
% 0.58/1.06 = (inverse @ (inverse @ (double_divide @ X0 @ X1))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl896])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1016, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (multiply @ X1 @ X0))
% 0.58/1.06 = (inverse @ (multiply @ X1 @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl1012, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl16, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (inverse @ X0)))))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl1283, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((inverse @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ identity) @ (inverse @ X0)))))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1016, zip_derived_cl16])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl896, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (inverse @ X0))
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl756])).
% 0.58/1.06 thf(zip_derived_cl896, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (inverse @ X0))
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl756])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl739, plain,
% 0.58/1.06 (((identity) = (double_divide @ identity @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl14, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.06 ((double_divide @ X3 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @ (double_divide @ (inverse @ X3) @ X0))))
% 0.58/1.06 = (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl765, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ identity))))
% 0.58/1.06 = (multiply @ identity @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X0) @ identity))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl739, zip_derived_cl14])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl9, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 0.58/1.06 = (double_divide @ (multiply @ X1 @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl11, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 0.58/1.06 = (inverse @ (multiply @ X1 @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl773, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((inverse @ X0)
% 0.58/1.06 = (inverse @ (multiply @ (inverse @ (inverse @ X0)) @ identity)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl765, zip_derived_cl2, zip_derived_cl20,
% 0.58/1.06 zip_derived_cl2, zip_derived_cl11])).
% 0.58/1.06 thf(zip_derived_cl882, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (multiply @ (inverse @ X0) @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl866, zip_derived_cl2, zip_derived_cl20])).
% 0.58/1.06 thf(zip_derived_cl939, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (inverse @ (inverse @ (inverse @ X0))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl773, zip_derived_cl882])).
% 0.58/1.06 thf(zip_derived_cl1318, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ (multiply @ X0 @ (inverse @ X0))) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1283, zip_derived_cl723, zip_derived_cl896,
% 0.58/1.06 zip_derived_cl896, zip_derived_cl939])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl939, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (inverse @ (inverse @ (inverse @ X0))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl773, zip_derived_cl882])).
% 0.58/1.06 thf(zip_derived_cl956, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((inverse @ (double_divide @ X0 @ X1))
% 0.58/1.06 = (inverse @ (inverse @ (multiply @ X1 @ X0))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl939])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl959, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0) = (inverse @ (inverse @ (multiply @ X1 @ X0))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl956, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl1339, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (inverse @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1318, zip_derived_cl959])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl1364, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl1339, zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl24, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((identity)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl1367, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((identity)
% 0.58/1.06 = (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1364, zip_derived_cl24])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl1394, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((inverse @ (double_divide @ (inverse @ X0) @ X0)) = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl1367, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((identity)
% 0.58/1.06 = (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1364, zip_derived_cl24])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl1385, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ identity @ (double_divide @ (inverse @ X0) @ X0))
% 0.58/1.06 = (double_divide @ identity @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl739, plain,
% 0.58/1.06 (((identity) = (double_divide @ identity @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl1407, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ identity @ (double_divide @ (inverse @ X0) @ X0))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl1385, zip_derived_cl739])).
% 0.58/1.06 thf(zip_derived_cl1466, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ identity @
% 0.58/1.06 (double_divide @ identity @ (double_divide @ (inverse @ X0) @ X0)))
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1394, zip_derived_cl1407])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1774, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ (double_divide @ identity @ X0) @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1466, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl1817, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1861, plain,
% 0.58/1.06 ((((a2) != (a2))
% 0.58/1.06 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl728, zip_derived_cl1843])).
% 0.58/1.06 thf(zip_derived_cl1862, plain,
% 0.58/1.06 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.58/1.06 inference('simplify', [status(thm)], [zip_derived_cl1861])).
% 0.58/1.06 thf(zip_derived_cl3, plain,
% 0.58/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.58/1.06 inference('cnf', [status(esa)], [identity])).
% 0.58/1.06 thf(zip_derived_cl14, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.06 ((double_divide @ X3 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @ (double_divide @ (inverse @ X3) @ X0))))
% 0.58/1.06 = (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl163, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X0 @
% 0.58/1.06 (multiply @ X2 @ (double_divide @ identity @ identity)))
% 0.58/1.06 = (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @
% 0.58/1.06 (double_divide @ X1 @ (inverse @ (inverse @ X0)))))))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl184, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X0 @ (multiply @ X2 @ (inverse @ identity)))
% 0.58/1.06 = (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @
% 0.58/1.06 (double_divide @ X1 @ (inverse @ (inverse @ X0)))))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl723, plain, (((identity) = (inverse @ identity))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl661, zip_derived_cl662, zip_derived_cl10,
% 0.58/1.06 zip_derived_cl662])).
% 0.58/1.06 thf(zip_derived_cl1817, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl20, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X0 @
% 0.58/1.06 (double_divide @ identity @ (inverse @ (inverse @ X1)))))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl896, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (inverse @ X0))
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl756])).
% 0.58/1.06 thf(zip_derived_cl939, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (inverse @ (inverse @ (inverse @ X0))))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl773, zip_derived_cl882])).
% 0.58/1.06 thf(zip_derived_cl1000, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl20, zip_derived_cl896, zip_derived_cl939])).
% 0.58/1.06 thf(zip_derived_cl1817, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1394, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((inverse @ (double_divide @ (inverse @ X0) @ X0)) = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl1364, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl1339, zip_derived_cl723])).
% 0.58/1.06 thf(zip_derived_cl1424, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((multiply @ (double_divide @ (inverse @ X0) @ X0) @ identity)
% 0.58/1.06 = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1394, zip_derived_cl1364])).
% 0.58/1.06 thf(zip_derived_cl1850, plain,
% 0.58/1.06 (![X0 : $i]: ((double_divide @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1817, zip_derived_cl1424])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1978, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ (double_divide @ X1 @ X0) @
% 0.58/1.06 (multiply @ X1 @ (double_divide @ identity @ identity))) = (
% 0.58/1.06 X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1850, zip_derived_cl13])).
% 0.58/1.06 thf(zip_derived_cl739, plain,
% 0.58/1.06 (((identity) = (double_divide @ identity @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl1817, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1999, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ (double_divide @ X1 @ X0) @ X1) = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1978, zip_derived_cl739, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl2176, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ (inverse @ X0) @ X1)
% 0.58/1.06 = (multiply @ X0 @ (inverse @ X1)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1000, zip_derived_cl1999])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl896, plain,
% 0.58/1.06 (![X0 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (inverse @ X0))
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl882, zip_derived_cl756])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1863, plain,
% 0.58/1.06 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl896, zip_derived_cl1843])).
% 0.58/1.06 thf(zip_derived_cl2031, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ identity @ (multiply @ X1 @ X0))
% 0.58/1.06 = (double_divide @ X0 @ X1))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1863])).
% 0.58/1.06 thf(zip_derived_cl3422, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X0 @ X2)
% 0.58/1.06 = (multiply @ X1 @ (double_divide @ (multiply @ X0 @ X1) @ X2)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl184, zip_derived_cl723, zip_derived_cl1817,
% 0.58/1.06 zip_derived_cl1843, zip_derived_cl2176, zip_derived_cl6,
% 0.58/1.06 zip_derived_cl2031])).
% 0.58/1.06 thf(zip_derived_cl1850, plain,
% 0.58/1.06 (![X0 : $i]: ((double_divide @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1817, zip_derived_cl1424])).
% 0.58/1.06 thf(zip_derived_cl13, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ X1 @
% 0.58/1.06 (multiply @ X2 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0)))))
% 0.58/1.06 = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ X0)
% 0.58/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.58/1.06 thf(zip_derived_cl15, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((multiply @
% 0.58/1.06 (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))) @
% 0.58/1.06 X2) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl2, plain,
% 0.58/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.58/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.58/1.06 thf(zip_derived_cl21, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((multiply @
% 0.58/1.06 (multiply @ X1 @
% 0.58/1.06 (double_divide @ identity @
% 0.58/1.06 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))) @
% 0.58/1.06 X2) = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.58/1.06 thf(zip_derived_cl1980, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @
% 0.58/1.06 (multiply @ X1 @ (double_divide @ identity @ identity)) @
% 0.58/1.06 (double_divide @ X1 @ X0)) = (inverse @ X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1850, zip_derived_cl21])).
% 0.58/1.06 thf(zip_derived_cl739, plain,
% 0.58/1.06 (((identity) = (double_divide @ identity @ identity))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl3])).
% 0.58/1.06 thf(zip_derived_cl1817, plain,
% 0.58/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl2001, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ (double_divide @ X1 @ X0)) = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1980, zip_derived_cl739, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1000, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X1 @ (multiply @ X0 @ (inverse @ X1)))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl20, zip_derived_cl896, zip_derived_cl939])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1238, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1)
% 0.58/1.06 = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1000, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1866, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1238, zip_derived_cl1843])).
% 0.58/1.06 thf(zip_derived_cl2077, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1843, zip_derived_cl1866])).
% 0.58/1.06 thf(zip_derived_cl2206, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (inverse @ X0) @ (inverse @ (double_divide @ X1 @ X0)))
% 0.58/1.06 = (X1))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2001, zip_derived_cl2077])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl2230, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.58/1.06 inference('demod', [status(thm)], [zip_derived_cl2206, zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl1843, plain,
% 0.58/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1036, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl1886, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1843])).
% 0.58/1.06 thf(zip_derived_cl2233, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ (multiply @ X1 @ X0) @ (inverse @ X1))
% 0.58/1.06 = (inverse @ X0))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2230, zip_derived_cl1886])).
% 0.58/1.06 thf(zip_derived_cl3432, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((double_divide @ (double_divide @ X1 @ X0) @ (inverse @ X2))
% 0.58/1.06 = (inverse @ (double_divide @ (multiply @ X1 @ X2) @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl3422, zip_derived_cl2233])).
% 0.58/1.06 thf(zip_derived_cl1999, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((double_divide @ (double_divide @ X1 @ X0) @ X1) = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1978, zip_derived_cl739, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl2001, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X1 @ (double_divide @ X1 @ X0)) = (inverse @ X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1980, zip_derived_cl739, zip_derived_cl1817])).
% 0.58/1.06 thf(zip_derived_cl2212, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (double_divide @ X1 @ X0) @ X0) = (inverse @ X1))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl1999, zip_derived_cl2001])).
% 0.58/1.06 thf(zip_derived_cl1866, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1238, zip_derived_cl1843])).
% 0.58/1.06 thf(zip_derived_cl2314, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ (inverse @ X0) @ X1)
% 0.58/1.06 = (double_divide @ X0 @ (inverse @ X1)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2212, zip_derived_cl1866])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl6, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i]:
% 0.58/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.58/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.58/1.06 thf(zip_derived_cl3497, plain,
% 0.58/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl3432, zip_derived_cl2314, zip_derived_cl6,
% 0.58/1.06 zip_derived_cl6])).
% 0.58/1.06 thf(zip_derived_cl3524, plain,
% 0.58/1.06 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.58/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.58/1.06 inference('demod', [status(thm)],
% 0.58/1.06 [zip_derived_cl1862, zip_derived_cl3497])).
% 0.58/1.06 thf(zip_derived_cl3525, plain, ($false),
% 0.58/1.06 inference('simplify', [status(thm)], [zip_derived_cl3524])).
% 0.58/1.06
% 0.58/1.06 % SZS output end Refutation
% 0.58/1.06
% 0.58/1.06
% 0.58/1.06 % Terminating...
% 0.60/1.17 % Runner terminated.
% 0.60/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------