TSTP Solution File: GRP571-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HJc72vvvAw true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:52:09 EDT 2023
% Result : Unsatisfiable 1.39s 1.50s
% Output : Refutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HJc72vvvAw true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 21:13:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.39/1.50 % Solved by fo/fo5.sh.
% 1.39/1.50 % done 1218 iterations in 0.691s
% 1.39/1.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/1.50 % SZS output start Refutation
% 1.39/1.50 thf(c3_type, type, c3: $i).
% 1.39/1.50 thf(identity_type, type, identity: $i).
% 1.39/1.50 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.39/1.50 thf(b3_type, type, b3: $i).
% 1.39/1.50 thf(a3_type, type, a3: $i).
% 1.39/1.50 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.39/1.50 thf(inverse_type, type, inverse: $i > $i).
% 1.39/1.50 thf(prove_these_axioms_3, conjecture,
% 1.39/1.50 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.39/1.50 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.39/1.50 thf(zf_stmt_0, negated_conjecture,
% 1.39/1.50 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.39/1.50 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.39/1.50 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.39/1.50 thf(zip_derived_cl4, plain,
% 1.39/1.50 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.39/1.50 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.39/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.39/1.50 thf(identity, axiom,
% 1.39/1.50 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(multiply, axiom,
% 1.39/1.50 (( multiply @ A @ B ) =
% 1.39/1.50 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl6, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl25, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(single_axiom, axiom,
% 1.39/1.50 (( double_divide @
% 1.39/1.50 ( double_divide @
% 1.39/1.50 A @
% 1.39/1.50 ( double_divide @
% 1.39/1.50 ( double_divide @ B @ ( double_divide @ A @ C ) ) @
% 1.39/1.50 ( double_divide @ C @ identity ) ) ) @
% 1.39/1.50 ( double_divide @ identity @ identity ) ) =
% 1.39/1.50 ( B ))).
% 1.39/1.50 thf(zip_derived_cl0, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 1.39/1.50 (double_divide @ X2 @ identity))) @
% 1.39/1.50 (double_divide @ identity @ identity)) = (X0))),
% 1.39/1.50 inference('cnf', [status(esa)], [single_axiom])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl16, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X0 @
% 1.39/1.50 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 1.39/1.50 (inverse @ identity))) @
% 1.39/1.50 (inverse @ identity)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.39/1.50 thf(zip_derived_cl231, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X0 @
% 1.39/1.50 (double_divide @ identity @ (inverse @ identity))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl238, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl231, zip_derived_cl3, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl250, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))
% 1.39/1.50 = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl238])).
% 1.39/1.50 thf(zip_derived_cl25, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl238, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl231, zip_derived_cl3, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl252, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @ (multiply @ (inverse @ X0) @ X0) @
% 1.39/1.50 (inverse @ identity)) = (identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl238])).
% 1.39/1.50 thf(zip_derived_cl16, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X0 @
% 1.39/1.50 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 1.39/1.50 (inverse @ identity))) @
% 1.39/1.50 (inverse @ identity)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.39/1.50 thf(zip_derived_cl425, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ identity @
% 1.39/1.50 (double_divide @ identity @ (inverse @ identity))) @
% 1.39/1.50 (inverse @ identity)) = (multiply @ (inverse @ X0) @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl16])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl238, plain,
% 1.39/1.50 (![X0 : $i]:
% 1.39/1.50 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl231, zip_derived_cl3, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl445, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl425, zip_derived_cl3, zip_derived_cl2,
% 1.39/1.50 zip_derived_cl238])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl25, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl30, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X2 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X1 @ (double_divide @ X2 @ identity)) @
% 1.39/1.50 (multiply @ (inverse @ X0) @ X0))) @
% 1.39/1.50 (inverse @ identity)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl13])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl36, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X2 @
% 1.39/1.50 (double_divide @ (double_divide @ X1 @ (inverse @ X2)) @
% 1.39/1.50 (multiply @ (inverse @ X0) @ X0))) @
% 1.39/1.50 (inverse @ identity)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl445, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl425, zip_derived_cl3, zip_derived_cl2,
% 1.39/1.50 zip_derived_cl238])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl25, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl445, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl425, zip_derived_cl3, zip_derived_cl2,
% 1.39/1.50 zip_derived_cl238])).
% 1.39/1.50 thf(zip_derived_cl447, plain, (((identity) = (inverse @ identity))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl445])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl582, plain,
% 1.39/1.50 (![X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ (inverse @ X2) @ X1) @ X2) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl36, zip_derived_cl445, zip_derived_cl1,
% 1.39/1.50 zip_derived_cl447, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl592, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl592, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl607, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl592])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl9, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 1.39/1.50 = (double_divide @ (multiply @ X1 @ X0) @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl11, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 1.39/1.50 = (inverse @ (multiply @ X1 @ X0)))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl17, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @ (double_divide @ X0 @ identity) @
% 1.39/1.50 (inverse @ (inverse @ X1)))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl20, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl447, plain, (((identity) = (inverse @ identity))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl445])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl474, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @
% 1.39/1.50 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1))) @ X1)
% 1.39/1.50 = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl20, zip_derived_cl447, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl476, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl474])).
% 1.39/1.50 thf(zip_derived_cl483, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl476])).
% 1.39/1.50 thf(zip_derived_cl612, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (double_divide @ X0 @ X1)) = (inverse @ X1))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl483])).
% 1.39/1.50 thf(zip_derived_cl483, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl476])).
% 1.39/1.50 thf(zip_derived_cl723, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ (double_divide @ X1 @ X0) @ X1)
% 1.39/1.50 = (inverse @ (inverse @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl483])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl746, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ (double_divide @ X1 @ X0) @ X1) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl723, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl15, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ (inverse @ identity) @
% 1.39/1.50 (double_divide @ X2 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @ (inverse @ X1))))
% 1.39/1.50 = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl21, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ (inverse @ identity) @
% 1.39/1.50 (double_divide @ X2 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X2 @ X1)) @ (inverse @ X1))))
% 1.39/1.50 = (inverse @ X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl447, plain, (((identity) = (inverse @ identity))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl445])).
% 1.39/1.50 thf(zip_derived_cl476, plain,
% 1.39/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl474])).
% 1.39/1.50 thf(zip_derived_cl508, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @ X2 @
% 1.39/1.50 (double_divide @ (double_divide @ X0 @ (double_divide @ X2 @ X1)) @
% 1.39/1.50 (inverse @ X1)))
% 1.39/1.50 = (inverse @ X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl21, zip_derived_cl447, zip_derived_cl476])).
% 1.39/1.50 thf(zip_derived_cl806, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ X1 @ (double_divide @ X1 @ X0))
% 1.39/1.50 = (inverse @ (inverse @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl746, zip_derived_cl508])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl823, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((double_divide @ X1 @ (double_divide @ X1 @ X0)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl806, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl612, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (double_divide @ X0 @ X1)) = (inverse @ X1))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl483])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl6, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl896, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl896, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl919, plain,
% 1.39/1.50 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.39/1.50 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl4, zip_derived_cl896, zip_derived_cl896])).
% 1.39/1.50 thf(zip_derived_cl896, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl582, plain,
% 1.39/1.50 (![X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ (inverse @ X2) @ X1) @ X2) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl36, zip_derived_cl445, zip_derived_cl1,
% 1.39/1.50 zip_derived_cl447, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl932, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl896, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl447, plain, (((identity) = (inverse @ identity))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl445])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl464, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @
% 1.39/1.50 (double_divide @ (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 1.39/1.50 (inverse @ X2)) @
% 1.39/1.50 X1) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl13, zip_derived_cl447, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl474, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @
% 1.39/1.50 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1))) @ X1)
% 1.39/1.50 = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl20, zip_derived_cl447, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl486, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl474, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl627, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl486])).
% 1.39/1.50 thf(zip_derived_cl932, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl896, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl1407, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (inverse @ X0) @ X1)
% 1.39/1.50 = (double_divide @ X0 @ (inverse @ X1)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl627, zip_derived_cl932])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl6, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl3, plain,
% 1.39/1.50 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.39/1.50 inference('cnf', [status(esa)], [identity])).
% 1.39/1.50 thf(zip_derived_cl22, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((identity)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 1.39/1.50 thf(zip_derived_cl13, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ X1 @
% 1.39/1.50 (double_divide @
% 1.39/1.50 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl161, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ (double_divide @ X1 @ X2) @
% 1.39/1.50 (double_divide @ (double_divide @ X0 @ identity) @
% 1.39/1.50 (inverse @ (multiply @ X2 @ X1)))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 1.39/1.50 thf(zip_derived_cl2, plain,
% 1.39/1.50 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [inverse])).
% 1.39/1.50 thf(zip_derived_cl196, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((double_divide @
% 1.39/1.50 (double_divide @ (double_divide @ X1 @ X2) @
% 1.39/1.50 (double_divide @ (inverse @ X0) @ (inverse @ (multiply @ X2 @ X1)))) @
% 1.39/1.50 (inverse @ identity)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl893, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl486, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl474, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl453, plain,
% 1.39/1.50 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl250, zip_derived_cl445, zip_derived_cl2])).
% 1.39/1.50 thf(zip_derived_cl486, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl474, zip_derived_cl453])).
% 1.39/1.50 thf(zip_derived_cl592, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl618, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (inverse @ (double_divide @ (inverse @ X0) @ X1)))
% 1.39/1.50 = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl592])).
% 1.39/1.50 thf(zip_derived_cl6, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.39/1.50 thf(zip_derived_cl631, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl618, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl660, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl631])).
% 1.39/1.50 thf(zip_derived_cl674, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (inverse @ X1) @ X0)
% 1.39/1.50 = (double_divide @ (inverse @ X0) @ X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl660])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl447, plain, (((identity) = (inverse @ identity))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl445])).
% 1.39/1.50 thf(zip_derived_cl1, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0)
% 1.39/1.50 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.39/1.50 inference('cnf', [status(esa)], [multiply])).
% 1.39/1.50 thf(zip_derived_cl896, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl3461, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ (double_divide @ X1 @ X2) @
% 1.39/1.50 (multiply @ (multiply @ X2 @ X1) @ X0)) = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl196, zip_derived_cl893, zip_derived_cl674,
% 1.39/1.50 zip_derived_cl855, zip_derived_cl447, zip_derived_cl1,
% 1.39/1.50 zip_derived_cl896])).
% 1.39/1.50 thf(zip_derived_cl592, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl582])).
% 1.39/1.50 thf(zip_derived_cl3481, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 1.39/1.50 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl3461, zip_derived_cl592])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl3624, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 1.39/1.50 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl3481, zip_derived_cl855])).
% 1.39/1.50 thf(zip_derived_cl3624, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 1.39/1.50 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl3481, zip_derived_cl855])).
% 1.39/1.50 thf(zip_derived_cl3624, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 1.39/1.50 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl3481, zip_derived_cl855])).
% 1.39/1.50 thf(zip_derived_cl6306, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X1 @
% 1.39/1.50 (multiply @ X2 @ (multiply @ X0 @ (double_divide @ X1 @ X2))))
% 1.39/1.50 = (X0))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl464, zip_derived_cl1407, zip_derived_cl855,
% 1.39/1.50 zip_derived_cl3624, zip_derived_cl3624, zip_derived_cl3624])).
% 1.39/1.50 thf(zip_derived_cl6366, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.39/1.50 = (multiply @ X0 @ (inverse @ (double_divide @ X2 @ X1))))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl932, zip_derived_cl6306])).
% 1.39/1.50 thf(zip_derived_cl855, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]:
% 1.39/1.50 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl612])).
% 1.39/1.50 thf(zip_derived_cl6422, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/1.50 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 1.39/1.50 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.39/1.50 inference('demod', [status(thm)], [zip_derived_cl6366, zip_derived_cl855])).
% 1.39/1.50 thf(zip_derived_cl896, plain,
% 1.39/1.50 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.39/1.50 inference('sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl6])).
% 1.39/1.50 thf(zip_derived_cl6830, plain,
% 1.39/1.50 (((multiply @ a3 @ (multiply @ c3 @ b3))
% 1.39/1.50 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 1.39/1.50 inference('demod', [status(thm)],
% 1.39/1.50 [zip_derived_cl919, zip_derived_cl6422, zip_derived_cl896])).
% 1.39/1.50 thf(zip_derived_cl6831, plain, ($false),
% 1.39/1.50 inference('simplify', [status(thm)], [zip_derived_cl6830])).
% 1.39/1.50
% 1.39/1.50 % SZS output end Refutation
% 1.39/1.50
% 1.39/1.50
% 1.39/1.50 % Terminating...
% 6.71/1.57 % Runner terminated.
% 6.71/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------