TSTP Solution File: GRP076-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP076-1 : 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.iQ62IJJH4G true
% Computer : n029.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 01:49:49 EDT 2023
% Result : Unsatisfiable 3.52s 1.14s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iQ62IJJH4G true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 00:26:11 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /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
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.52/1.14 % Solved by fo/fo5.sh.
% 3.52/1.14 % done 590 iterations in 0.354s
% 3.52/1.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.52/1.14 % SZS output start Refutation
% 3.52/1.14 thf(a3_type, type, a3: $i).
% 3.52/1.14 thf(identity_type, type, identity: $i).
% 3.52/1.14 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.52/1.14 thf(c3_type, type, c3: $i).
% 3.52/1.14 thf(a2_type, type, a2: $i).
% 3.52/1.14 thf(a1_type, type, a1: $i).
% 3.52/1.14 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 3.52/1.14 thf(inverse_type, type, inverse: $i > $i).
% 3.52/1.14 thf(b3_type, type, b3: $i).
% 3.52/1.14 thf(prove_these_axioms, conjecture,
% 3.52/1.14 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 3.52/1.14 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 3.52/1.14 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 3.52/1.14 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 3.52/1.14 thf(zf_stmt_0, negated_conjecture,
% 3.52/1.14 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 3.52/1.14 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 3.52/1.14 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 3.52/1.14 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 3.52/1.14 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 3.52/1.14 thf(zip_derived_cl4, plain,
% 3.52/1.14 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 3.52/1.14 | ((multiply @ identity @ a2) != (a2))
% 3.52/1.14 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 3.52/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.52/1.14 thf(inverse, axiom, (( inverse @ X ) = ( double_divide @ X @ identity ))).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(multiply, axiom,
% 3.52/1.14 (( multiply @ X @ Y ) =
% 3.52/1.14 ( double_divide @ ( double_divide @ Y @ X ) @ identity ))).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl7, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((multiply @ identity @ X0)
% 3.52/1.14 = (double_divide @ (inverse @ X0) @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl30, plain,
% 3.52/1.14 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 3.52/1.14 | ((inverse @ (inverse @ a2)) != (a2))
% 3.52/1.14 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 3.52/1.14 thf(identity, axiom,
% 3.52/1.14 (( identity ) = ( double_divide @ X @ ( inverse @ X ) ))).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl34, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl73, plain,
% 3.52/1.14 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 3.52/1.14 | ((inverse @ (inverse @ a2)) != (a2))
% 3.52/1.14 | ((inverse @ identity) != (identity)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl34])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(single_axiom, axiom,
% 3.52/1.14 (( double_divide @
% 3.52/1.14 ( double_divide @
% 3.52/1.14 X @
% 3.52/1.14 ( double_divide @
% 3.52/1.14 ( double_divide @ ( double_divide @ X @ Y ) @ Z ) @
% 3.52/1.14 ( double_divide @ Y @ identity ) ) ) @
% 3.52/1.14 ( double_divide @ identity @ identity ) ) =
% 3.52/1.14 ( Z ))).
% 3.52/1.14 thf(zip_derived_cl0, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @
% 3.52/1.14 (double_divide @ X2 @ identity))) @
% 3.52/1.14 (double_divide @ identity @ identity)) = (X0))),
% 3.52/1.14 inference('cnf', [status(esa)], [single_axiom])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl20, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @ (double_divide @ identity @ (inverse @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl566, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @ (double_divide @ identity @ (inverse @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl582, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((double_divide @ (double_divide @ X0 @ identity) @
% 3.52/1.14 (inverse @ identity)) = (multiply @ identity @ X0))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl566])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl586, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((double_divide @ (inverse @ X0) @ (inverse @ identity))
% 3.52/1.14 = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl582, zip_derived_cl2, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl8, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((multiply @ (inverse @ X0) @ X0)
% 3.52/1.14 = (double_divide @ identity @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl55, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((multiply @ identity @ identity)
% 3.52/1.14 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl74, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((identity)
% 3.52/1.14 = (double_divide @ (multiply @ (inverse @ X0) @ X0) @
% 3.52/1.14 (multiply @ identity @ identity)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl3])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl93, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((identity)
% 3.52/1.14 = (double_divide @ (multiply @ (inverse @ X0) @ X0) @
% 3.52/1.14 (inverse @ (inverse @ identity))))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl19, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 3.52/1.14 (inverse @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl411, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @ (multiply @ X0 @ X1) @ (inverse @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (identity))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl427, plain,
% 3.52/1.14 (((double_divide @ (double_divide @ identity @ identity) @
% 3.52/1.14 (inverse @ identity)) = (identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl411])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl442, plain,
% 3.52/1.14 (((double_divide @ (inverse @ identity) @ (inverse @ identity))
% 3.52/1.14 = (identity))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl427, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl653, plain,
% 3.52/1.14 (((inverse @ (inverse @ identity)) = (identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl586, zip_derived_cl442])).
% 3.52/1.14 thf(zip_derived_cl586, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((double_divide @ (inverse @ X0) @ (inverse @ identity))
% 3.52/1.14 = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl582, zip_derived_cl2, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl692, plain,
% 3.52/1.14 (((double_divide @ identity @ (inverse @ identity))
% 3.52/1.14 = (inverse @ (inverse @ (inverse @ identity))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl586])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl653, plain,
% 3.52/1.14 (((inverse @ (inverse @ identity)) = (identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl586, zip_derived_cl442])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl713, plain,
% 3.52/1.14 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 3.52/1.14 | ((inverse @ (inverse @ a2)) != (a2))
% 3.52/1.14 | ((identity) != (identity)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl706])).
% 3.52/1.14 thf(zip_derived_cl714, plain,
% 3.52/1.14 ((((inverse @ (inverse @ a2)) != (a2))
% 3.52/1.14 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 3.52/1.14 inference('simplify', [status(thm)], [zip_derived_cl713])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl18, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @ (double_divide @ X2 @ X0) @ (inverse @ identity))
% 3.52/1.14 = (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ identity) @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl27, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @ (double_divide @ X2 @ X0) @ (inverse @ identity))
% 3.52/1.14 = (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ (inverse @ X2) @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl750, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X2)
% 3.52/1.14 = (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ (inverse @ X2) @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl27, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl756, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1)
% 3.52/1.14 = (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ (inverse @ X1) @ identity) @ X0) @
% 3.52/1.14 identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl750])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl767, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (multiply @ X0 @ (inverse @ (inverse @ X1))))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl756, zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl795, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((multiply @ identity @ X0)
% 3.52/1.14 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl767, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl800, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (inverse @ X0))
% 3.52/1.14 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl795, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl566, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @ (double_divide @ identity @ (inverse @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl722, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (double_divide @ identity @ (inverse @ X0)) @ X1)
% 3.52/1.14 = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl566, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl34, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl39, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ identity) @ X1) @
% 3.52/1.14 (multiply @ (inverse @ X0) @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl13])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl45, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @ (double_divide @ (inverse @ X2) @ X1) @
% 3.52/1.14 (multiply @ (inverse @ X0) @ X0))) @
% 3.52/1.14 (inverse @ identity)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl34, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl710, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl706])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1276, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0)
% 3.52/1.14 = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl722, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1328, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (inverse @ (inverse @ X0)))
% 3.52/1.14 = (double_divide @ identity @ (inverse @ (inverse @ X0))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1330, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1328, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1346, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (inverse @ X0))
% 3.52/1.14 = (double_divide @ identity @ (inverse @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1330, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1364, plain,
% 3.52/1.14 ((((a2) != (a2))
% 3.52/1.14 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1365, plain,
% 3.52/1.14 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.52/1.14 inference('simplify', [status(thm)], [zip_derived_cl1364])).
% 3.52/1.14 thf(zip_derived_cl800, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (inverse @ X0))
% 3.52/1.14 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl795, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1287, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ (inverse @ X0))) @
% 3.52/1.14 (inverse @ (inverse @ (inverse @ X0)))) = (X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl767, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (multiply @ X0 @ (inverse @ (inverse @ X1))))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl756, zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl767, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (multiply @ X0 @ (inverse @ (inverse @ X1))))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl756, zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1291, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1287, zip_derived_cl767, zip_derived_cl767])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl14, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ X3 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X3 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (double_divide @ (double_divide @ X0 @ X1) @
% 3.52/1.14 (inverse @ (inverse @ identity)))) @
% 3.52/1.14 (inverse @ identity)) = (X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl13])).
% 3.52/1.14 thf(zip_derived_cl163, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X3 @ X0) @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X3 @ identity) @ X2) @ X0) @
% 3.52/1.14 (inverse @ X2)) @
% 3.52/1.14 X1) @
% 3.52/1.14 (inverse @ (inverse @ identity)))) @
% 3.52/1.14 (inverse @ identity)) = (X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl14])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl183, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X3 @ X0) @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ (inverse @ X3) @ X2) @ X0) @
% 3.52/1.14 (inverse @ X2)) @
% 3.52/1.14 X1) @
% 3.52/1.14 (inverse @ (inverse @ identity)))) @
% 3.52/1.14 (inverse @ identity)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl9, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.52/1.14 = (double_divide @ (multiply @ X1 @ X0) @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl11, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.52/1.14 = (inverse @ (multiply @ X1 @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl104, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ identity @ X0)
% 3.52/1.14 = (inverse @
% 3.52/1.14 (multiply @ (inverse @ identity) @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1))))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl109, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((inverse @ (inverse @ X0))
% 3.52/1.14 = (inverse @
% 3.52/1.14 (multiply @ (inverse @ identity) @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1))))))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl10])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl10, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1363, plain,
% 3.52/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1732, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((X0)
% 3.52/1.14 = (multiply @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1)) @
% 3.52/1.14 X2))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl109, zip_derived_cl1361, zip_derived_cl706,
% 3.52/1.14 zip_derived_cl1363, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl1757, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1)
% 3.52/1.14 = (multiply @
% 3.52/1.14 (double_divide @ (double_divide @ identity @ X1) @
% 3.52/1.14 (inverse @ (inverse @ X0))) @
% 3.52/1.14 X0))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1732])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1373, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1361, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1777, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1757, zip_derived_cl1373, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1291, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1287, zip_derived_cl767, zip_derived_cl767])).
% 3.52/1.14 thf(zip_derived_cl1795, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ (inverse @ X1))
% 3.52/1.14 = (double_divide @ (inverse @ X0) @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1777, zip_derived_cl1291])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1777, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1757, zip_derived_cl1373, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1813, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ X0) = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1361, zip_derived_cl1777])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1934, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (inverse @ X0) @ X1)
% 3.52/1.14 = (double_divide @ X0 @ (inverse @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1813, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl2548, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((multiply @
% 3.52/1.14 (multiply @ X1 @
% 3.52/1.14 (multiply @ (multiply @ X0 @ (multiply @ X3 @ (inverse @ X2))) @ X2)) @
% 3.52/1.14 (double_divide @ X3 @ X0)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl183, zip_derived_cl1795, zip_derived_cl1934,
% 3.52/1.14 zip_derived_cl6, zip_derived_cl706, zip_derived_cl706,
% 3.52/1.14 zip_derived_cl1, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1291, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1287, zip_derived_cl767, zip_derived_cl767])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl1374, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1469, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ X0)
% 3.52/1.14 = (double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1291, zip_derived_cl1374])).
% 3.52/1.14 thf(zip_derived_cl1777, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1757, zip_derived_cl1373, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1809, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1469, zip_derived_cl1777])).
% 3.52/1.14 thf(zip_derived_cl1374, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1825, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ X0)
% 3.52/1.14 = (double_divide @ (multiply @ X1 @ X0) @ (inverse @ X1)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1809, zip_derived_cl1374])).
% 3.52/1.14 thf(zip_derived_cl2556, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((inverse @ (double_divide @ X2 @ X3))
% 3.52/1.14 = (double_divide @ X0 @
% 3.52/1.14 (inverse @
% 3.52/1.14 (multiply @ X0 @
% 3.52/1.14 (multiply @
% 3.52/1.14 (multiply @ X3 @ (multiply @ X2 @ (inverse @ X1))) @ X1)))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2548, zip_derived_cl1825])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1374, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1361])).
% 3.52/1.14 thf(zip_derived_cl1288, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (double_divide @ identity @ (inverse @ X1)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1276, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1732, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((X0)
% 3.52/1.14 = (multiply @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @
% 3.52/1.14 (inverse @ X1)) @
% 3.52/1.14 X2))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl109, zip_derived_cl1361, zip_derived_cl706,
% 3.52/1.14 zip_derived_cl1363, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl1765, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1)
% 3.52/1.14 = (multiply @
% 3.52/1.14 (double_divide @ (double_divide @ X0 @ X1) @
% 3.52/1.14 (inverse @ (inverse @ X0))) @
% 3.52/1.14 identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl1732])).
% 3.52/1.14 thf(zip_derived_cl1361, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1346, zip_derived_cl1288])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl3, plain,
% 3.52/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.52/1.14 inference('cnf', [status(esa)], [identity])).
% 3.52/1.14 thf(zip_derived_cl725, plain,
% 3.52/1.14 (((identity) = (double_divide @ identity @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl3])).
% 3.52/1.14 thf(zip_derived_cl13, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((double_divide @
% 3.52/1.14 (double_divide @ X1 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X1 @ X2) @ X0) @ (inverse @ X2))) @
% 3.52/1.14 (inverse @ identity)) = (X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl15, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (inverse @ identity) @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X1))))
% 3.52/1.14 = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl2, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.52/1.14 thf(zip_derived_cl28, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (inverse @ identity) @
% 3.52/1.14 (double_divide @ X2 @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X1))))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl11, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.52/1.14 = (inverse @ (multiply @ X1 @ X0)))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 3.52/1.14 thf(zip_derived_cl806, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((inverse @
% 3.52/1.14 (multiply @
% 3.52/1.14 (double_divide @
% 3.52/1.14 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X1)) @
% 3.52/1.14 X2))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl28, zip_derived_cl706, zip_derived_cl11])).
% 3.52/1.14 thf(zip_derived_cl829, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @
% 3.52/1.14 (multiply @
% 3.52/1.14 (double_divide @ (double_divide @ identity @ X0) @
% 3.52/1.14 (inverse @ identity)) @
% 3.52/1.14 identity))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl725, zip_derived_cl806])).
% 3.52/1.14 thf(zip_derived_cl706, plain, (((identity) = (inverse @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl692, zip_derived_cl3, zip_derived_cl653])).
% 3.52/1.14 thf(zip_derived_cl1, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0)
% 3.52/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.52/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.52/1.14 thf(zip_derived_cl837, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ (multiply @ X0 @ identity) @ identity))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl829, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl722, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (double_divide @ identity @ (inverse @ X0)) @ X1)
% 3.52/1.14 = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl566, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl837, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ (multiply @ X0 @ identity) @ identity))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl829, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl968, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ (multiply @ X0 @ identity) @ identity))
% 3.52/1.14 = (inverse @ (double_divide @ identity @ (inverse @ X0))))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl722, zip_derived_cl837])).
% 3.52/1.14 thf(zip_derived_cl837, plain,
% 3.52/1.14 (![X0 : $i]:
% 3.52/1.14 ((inverse @ (multiply @ (multiply @ X0 @ identity) @ identity))
% 3.52/1.14 = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl829, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl983, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ X0) = (multiply @ (inverse @ X0) @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl968, zip_derived_cl837, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl991, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((inverse @ (double_divide @ X0 @ X1))
% 3.52/1.14 = (multiply @ (multiply @ X1 @ X0) @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl983])).
% 3.52/1.14 thf(zip_derived_cl6, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl996, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X1 @ X0) = (multiply @ (multiply @ X1 @ X0) @ identity))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl991, zip_derived_cl6])).
% 3.52/1.14 thf(zip_derived_cl1032, plain,
% 3.52/1.14 (![X0 : $i]: ((inverse @ (multiply @ X0 @ identity)) = (inverse @ X0))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl996])).
% 3.52/1.14 thf(zip_derived_cl722, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (double_divide @ identity @ (inverse @ X0)) @ X1)
% 3.52/1.14 = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl566, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1064, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (double_divide @ identity @ (inverse @ X0)) @ X1)
% 3.52/1.14 = (multiply @ (multiply @ X0 @ identity) @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1032, zip_derived_cl722])).
% 3.52/1.14 thf(zip_derived_cl722, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (double_divide @ identity @ (inverse @ X0)) @ X1)
% 3.52/1.14 = (multiply @ X0 @ X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl566, zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1089, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ X0 @ X1) = (multiply @ (multiply @ X0 @ identity) @ X1))),
% 3.52/1.14 inference('demod', [status(thm)], [zip_derived_cl1064, zip_derived_cl722])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1278, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0)
% 3.52/1.14 = (multiply @ X1 @ identity))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1089, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1261, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl45, zip_derived_cl710, zip_derived_cl1,
% 3.52/1.14 zip_derived_cl706, zip_derived_cl1])).
% 3.52/1.14 thf(zip_derived_cl1289, plain,
% 3.52/1.14 (![X1 : $i]: ((X1) = (multiply @ X1 @ identity))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1278, zip_derived_cl1261])).
% 3.52/1.14 thf(zip_derived_cl1784, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (double_divide @ (double_divide @ X0 @ X1) @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1765, zip_derived_cl1361, zip_derived_cl1289])).
% 3.52/1.14 thf(zip_derived_cl1784, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (double_divide @ (double_divide @ X0 @ X1) @ X0))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1765, zip_derived_cl1361, zip_derived_cl1289])).
% 3.52/1.14 thf(zip_derived_cl1893, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i]:
% 3.52/1.14 ((X1) = (double_divide @ X0 @ (double_divide @ X1 @ X0)))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1784, zip_derived_cl1784])).
% 3.52/1.14 thf(zip_derived_cl2649, plain,
% 3.52/1.14 (![X1 : $i, X2 : $i, X3 : $i]:
% 3.52/1.14 ((multiply @ X3 @ X2)
% 3.52/1.14 = (multiply @ (multiply @ X3 @ (multiply @ X2 @ (inverse @ X1))) @
% 3.52/1.14 X1))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl2556, zip_derived_cl6, zip_derived_cl1374,
% 3.52/1.14 zip_derived_cl1893])).
% 3.52/1.14 thf(zip_derived_cl4345, plain,
% 3.52/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.52/1.14 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 3.52/1.14 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 3.52/1.14 inference('sup+', [status(thm)], [zip_derived_cl1291, zip_derived_cl2649])).
% 3.52/1.14 thf(zip_derived_cl4398, plain,
% 3.52/1.14 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 3.52/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.52/1.14 inference('demod', [status(thm)],
% 3.52/1.14 [zip_derived_cl1365, zip_derived_cl4345])).
% 3.52/1.14 thf(zip_derived_cl4399, plain, ($false),
% 3.52/1.14 inference('simplify', [status(thm)], [zip_derived_cl4398])).
% 3.52/1.14
% 3.52/1.14 % SZS output end Refutation
% 3.52/1.14
% 3.52/1.14
% 3.52/1.14 % Terminating...
% 4.37/1.24 % Runner terminated.
% 4.37/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------