%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP495-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7qthDZEcl5 true
% Computer : n018.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 Oct 2 04:36:33 PM UTC 2025
% Result : Unsatisfiable 3.89s 1.14s
% Output : Refutation 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP495-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7qthDZEcl5 true
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:04:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.46/0.56 % Total configuration time : 435
% 0.46/0.56 % Estimated wc time : 1092
% 0.46/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.89/1.14 % Solved by fo/fo4.sh.
% 3.89/1.14 % done 470 iterations in 0.431s
% 3.89/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.89/1.14 % SZS output start Refutation
% 3.89/1.14 thf(c3_type, type, c3: $i).
% 3.89/1.14 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.89/1.14 thf(b3_type, type, b3: $i).
% 3.89/1.14 thf(a3_type, type, a3: $i).
% 3.89/1.14 thf(identity_type, type, identity: $i).
% 3.89/1.14 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 3.89/1.14 thf(inverse_type, type, inverse: $i > $i).
% 3.89/1.14 thf(prove_these_axioms_3, conjecture,
% 3.89/1.14 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 3.89/1.14 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 3.89/1.14 thf(zf_stmt_0, negated_conjecture,
% 3.89/1.14 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 3.89/1.14 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 3.89/1.14 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 3.89/1.14 thf(zip_derived_cl4, plain,
% 3.89/1.14 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.89/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.89/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.89/1.14 thf(identity, axiom,
% 3.89/1.14 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(single_axiom, axiom,
% 3.89/1.14 (( double_divide @
% 3.89/1.14 ( double_divide @ identity @ A ) @
% 3.89/1.14 ( double_divide @
% 3.89/1.14 ( double_divide @
% 3.89/1.14 ( double_divide @ B @ C ) @ ( double_divide @ identity @ identity ) ) @
% 3.89/1.14 ( double_divide @ A @ C ) ) ) =
% 3.89/1.14 ( B ))).
% 3.89/1.14 thf(zip_derived_cl0, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X2) @
% 3.89/1.14 (double_divide @ identity @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ X2)))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('cnf', [status(esa)], [single_axiom])).
% 3.89/1.14 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl13, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X2) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ X2)))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl22, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ identity @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ (inverse @ X0))))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl31, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X0))))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl441, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X0) @
% 3.89/1.14 (double_divide @ identity @ identity)) = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl31])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl450, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X0) @
% 3.89/1.14 (inverse @ identity)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl450, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X0) @
% 3.89/1.14 (inverse @ identity)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl470, plain,
% 3.89/1.14 (((double_divide @ identity @ (inverse @ identity))
% 3.89/1.14 = (inverse @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl450])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl471, plain, (((identity) = (inverse @ identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl3])).
% 3.89/1.14 thf(multiply, axiom,
% 3.89/1.14 (( multiply @ A @ B ) =
% 3.89/1.14 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl13, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X2) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ X2)))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl20, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @
% 3.89/1.14 (double_divide @ identity @ (double_divide @ X0 @ X1)) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X2 @ identity) @
% 3.89/1.14 (inverse @ identity)) @
% 3.89/1.14 (multiply @ X1 @ X0)))
% 3.89/1.14 = (X2))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl29, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @
% 3.89/1.14 (double_divide @ identity @ (double_divide @ X0 @ X1)) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (inverse @ X2) @ (inverse @ identity)) @
% 3.89/1.14 (multiply @ X1 @ X0)))
% 3.89/1.14 = (X2))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl34, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((identity)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl501, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((identity) = (double_divide @ (double_divide @ identity @ X0) @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl34])).
% 3.89/1.14 thf(zip_derived_cl31, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X0))))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl585, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @
% 3.89/1.14 (double_divide @ identity @
% 3.89/1.14 (double_divide @ identity @ (inverse @ X0))) @
% 3.89/1.14 (double_divide @ identity @ identity)) = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl31])).
% 3.89/1.14 thf(zip_derived_cl471, plain, (((identity) = (inverse @ identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl485, plain,
% 3.89/1.14 (((identity) = (double_divide @ identity @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl596, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl585, zip_derived_cl485, zip_derived_cl1,
% 3.89/1.14 zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl596, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl585, zip_derived_cl485, zip_derived_cl1,
% 3.89/1.14 zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl31, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X0))))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl601, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ identity) @
% 3.89/1.14 (double_divide @ identity @ X0)) = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl31])).
% 3.89/1.14 thf(zip_derived_cl485, plain,
% 3.89/1.14 (((identity) = (double_divide @ identity @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl615, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ identity @ (double_divide @ identity @ X0)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl485])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl471, plain, (((identity) = (inverse @ identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl672, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((multiply @ X0 @ identity)
% 3.89/1.14 = (double_divide @ (inverse @ X0) @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl659, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl679, plain,
% 3.89/1.14 (![X0 : $i]: ((X0) = (double_divide @ (inverse @ X0) @ identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl672, zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl776, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (multiply @ X1 @ X0) @
% 3.89/1.14 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X2))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl29, zip_derived_cl659, zip_derived_cl6,
% 3.89/1.14 zip_derived_cl471, zip_derived_cl679])).
% 3.89/1.14 thf(zip_derived_cl783, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (multiply @ X0 @ identity) @
% 3.89/1.14 (double_divide @ X1 @ X0)) = (X1))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl776])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl791, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl791, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl805, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl791])).
% 3.89/1.14 thf(zip_derived_cl13, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X2) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ X2)))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl16, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X1) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X2 @ X1)) @
% 3.89/1.14 (double_divide @ identity @ X2)) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl33, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X1) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X2 @ X1)) @
% 3.89/1.14 (double_divide @ identity @ X2)) = (inverse @ X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl471, plain, (((identity) = (inverse @ identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl963, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @
% 3.89/1.14 (double_divide @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X1)) @
% 3.89/1.14 (inverse @ X2)) = (inverse @ X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl33, zip_derived_cl471, zip_derived_cl1,
% 3.89/1.14 zip_derived_cl659])).
% 3.89/1.14 thf(zip_derived_cl976, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @ (double_divide @ (multiply @ X2 @ X1) @ X0) @
% 3.89/1.14 (inverse @ (double_divide @ X2 @ X0))) = (inverse @ X1))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl963])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl996, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @ (double_divide @ (multiply @ X2 @ X1) @ X0) @
% 3.89/1.14 (multiply @ X0 @ X2)) = (inverse @ X1))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl6])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl35, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl39, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((identity)
% 3.89/1.14 = (double_divide @ (inverse @ X0) @ (multiply @ identity @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl13, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ (double_divide @ X0 @ X2) @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ X2)))
% 3.89/1.14 = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl59, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @
% 3.89/1.14 (double_divide @ identity @ (inverse @ identity)) @
% 3.89/1.14 (double_divide @ X1 @ (multiply @ identity @ X0))))
% 3.89/1.14 = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl13])).
% 3.89/1.14 thf(zip_derived_cl3, plain,
% 3.89/1.14 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.89/1.14 inference('cnf', [status(esa)], [identity])).
% 3.89/1.14 thf(zip_derived_cl66, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ identity @ X1) @
% 3.89/1.14 (double_divide @ identity @
% 3.89/1.14 (double_divide @ X1 @ (multiply @ identity @ X0))))
% 3.89/1.14 = (inverse @ X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl615, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((double_divide @ identity @ (double_divide @ identity @ X0)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl485])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl9, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.89/1.14 = (double_divide @ (multiply @ X1 @ X0) @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl2, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [inverse])).
% 3.89/1.14 thf(zip_derived_cl11, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.89/1.14 = (inverse @ (multiply @ X1 @ X0)))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl646, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((multiply @ identity @ X0)
% 3.89/1.14 = (inverse @ (multiply @ (double_divide @ identity @ X0) @ identity)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl615, zip_derived_cl11])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl484, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl450, zip_derived_cl471, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl663, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl646, zip_derived_cl484, zip_derived_cl6,
% 3.89/1.14 zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl34, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((identity)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl805, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl791])).
% 3.89/1.14 thf(zip_derived_cl834, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ identity @ (double_divide @ X0 @ X1))
% 3.89/1.14 = (multiply @ X1 @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl805])).
% 3.89/1.14 thf(zip_derived_cl1608, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1))
% 3.89/1.14 = (inverse @ X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl66, zip_derived_cl659, zip_derived_cl663,
% 3.89/1.14 zip_derived_cl834])).
% 3.89/1.14 thf(zip_derived_cl3486, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((double_divide @ (inverse @ (multiply @ X1 @ X2)) @ (inverse @ X0))
% 3.89/1.14 = (inverse @ (double_divide @ (multiply @ X2 @ X0) @ X1)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl996, zip_derived_cl1608])).
% 3.89/1.14 thf(zip_derived_cl11, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 3.89/1.14 = (inverse @ (multiply @ X1 @ X0)))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 3.89/1.14 thf(zip_derived_cl663, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl646, zip_derived_cl484, zip_derived_cl6,
% 3.89/1.14 zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl723, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl663])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl791, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl804, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl6])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl596, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl585, zip_derived_cl485, zip_derived_cl1,
% 3.89/1.14 zip_derived_cl484])).
% 3.89/1.14 thf(zip_derived_cl678, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl659, zip_derived_cl596])).
% 3.89/1.14 thf(zip_derived_cl501, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((identity) = (double_divide @ (double_divide @ identity @ X0) @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl34])).
% 3.89/1.14 thf(zip_derived_cl1, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X1 @ X0)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.89/1.14 inference('cnf', [status(esa)], [multiply])).
% 3.89/1.14 thf(zip_derived_cl580, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((multiply @ X0 @ (double_divide @ identity @ X0))
% 3.89/1.14 = (double_divide @ identity @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl485, plain,
% 3.89/1.14 (((identity) = (double_divide @ identity @ identity))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl3])).
% 3.89/1.14 thf(zip_derived_cl592, plain,
% 3.89/1.14 (![X0 : $i]:
% 3.89/1.14 ((multiply @ X0 @ (double_divide @ identity @ X0)) = (identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl580, zip_derived_cl485])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl670, plain,
% 3.89/1.14 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl592, zip_derived_cl659])).
% 3.89/1.14 thf(zip_derived_cl963, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @
% 3.89/1.14 (double_divide @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X1)) @
% 3.89/1.14 (inverse @ X2)) = (inverse @ X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl33, zip_derived_cl471, zip_derived_cl1,
% 3.89/1.14 zip_derived_cl659])).
% 3.89/1.14 thf(zip_derived_cl988, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ (double_divide @ identity @ (double_divide @ X1 @ X0)) @
% 3.89/1.14 (inverse @ X1)) = (inverse @ (inverse @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl963])).
% 3.89/1.14 thf(zip_derived_cl659, plain,
% 3.89/1.14 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl615])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl678, plain,
% 3.89/1.14 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl659, zip_derived_cl596])).
% 3.89/1.14 thf(zip_derived_cl1008, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X1)) = (X0))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl988, zip_derived_cl659, zip_derived_cl6,
% 3.89/1.14 zip_derived_cl678])).
% 3.89/1.14 thf(zip_derived_cl1025, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl1008])).
% 3.89/1.14 thf(zip_derived_cl1053, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ (inverse @ X0) @ X1)
% 3.89/1.14 = (double_divide @ X0 @ (inverse @ X1)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl804, zip_derived_cl1025])).
% 3.89/1.14 thf(zip_derived_cl1146, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 3.89/1.14 = (double_divide @ (double_divide @ X0 @ X1) @ (inverse @ X2)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1053])).
% 3.89/1.14 thf(zip_derived_cl6, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i]:
% 3.89/1.14 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.89/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.89/1.14 thf(zip_derived_cl3611, plain,
% 3.89/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.89/1.14 ((multiply @ (multiply @ X1 @ X2) @ X0)
% 3.89/1.14 = (multiply @ X1 @ (multiply @ X2 @ X0)))),
% 3.89/1.14 inference('demod', [status(thm)],
% 3.89/1.14 [zip_derived_cl3486, zip_derived_cl723, zip_derived_cl1146,
% 3.89/1.14 zip_derived_cl6])).
% 3.89/1.14 thf(zip_derived_cl3614, plain,
% 3.89/1.14 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 3.89/1.14 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.89/1.14 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl3611])).
% 3.89/1.14 thf(zip_derived_cl3615, plain, ($false),
% 3.89/1.14 inference('simplify', [status(thm)], [zip_derived_cl3614])).
% 3.89/1.14
% 3.89/1.14 % SZS output end Refutation
% 3.89/1.14
% 3.89/1.14
% 3.89/1.14 % Terminating...
% 4.50/1.20 % Runner terminated.
% 4.50/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------