%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP483-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gjDnXoQMQV true
% Computer : n023.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 04:36:32 PM UTC 2025
% Result : Unsatisfiable 3.68s 1.09s
% Output : Refutation 3.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP483-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gjDnXoQMQV true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:13:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.50/0.59 % Total configuration time : 435
% 0.50/0.59 % Estimated wc time : 1092
% 0.50/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.68/1.09 % Solved by fo/fo4.sh.
% 3.68/1.09 % done 370 iterations in 0.335s
% 3.68/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.68/1.09 % SZS output start Refutation
% 3.68/1.09 thf(b3_type, type, b3: $i).
% 3.68/1.09 thf(inverse_type, type, inverse: $i > $i).
% 3.68/1.09 thf(identity_type, type, identity: $i).
% 3.68/1.09 thf(a3_type, type, a3: $i).
% 3.68/1.09 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 3.68/1.09 thf(c3_type, type, c3: $i).
% 3.68/1.09 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.68/1.09 thf(prove_these_axioms_3, conjecture,
% 3.68/1.09 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 3.68/1.09 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 3.68/1.09 thf(zf_stmt_0, negated_conjecture,
% 3.68/1.09 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 3.68/1.09 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 3.68/1.09 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 3.68/1.09 thf(zip_derived_cl4, plain,
% 3.68/1.09 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 3.68/1.09 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.68/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.68/1.09 thf(identity, axiom,
% 3.68/1.09 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 3.68/1.09 thf(zip_derived_cl3, plain,
% 3.68/1.09 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.68/1.09 inference('cnf', [status(esa)], [identity])).
% 3.68/1.09 thf(multiply, axiom,
% 3.68/1.09 (( multiply @ A @ B ) =
% 3.68/1.09 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 3.68/1.09 thf(zip_derived_cl1, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X1 @ X0)
% 3.68/1.09 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [multiply])).
% 3.68/1.09 thf(zip_derived_cl8, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((multiply @ (inverse @ X0) @ X0)
% 3.68/1.09 = (double_divide @ identity @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 3.68/1.09 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl10, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl3, plain,
% 3.68/1.09 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.68/1.09 inference('cnf', [status(esa)], [identity])).
% 3.68/1.09 thf(single_axiom, axiom,
% 3.68/1.09 (( double_divide @
% 3.68/1.09 ( double_divide @
% 3.68/1.09 ( double_divide @ A @ ( double_divide @ B @ identity ) ) @
% 3.68/1.09 ( double_divide @
% 3.68/1.09 ( double_divide @
% 3.68/1.09 C @ ( double_divide @ D @ ( double_divide @ D @ identity ) ) ) @
% 3.68/1.09 ( double_divide @ A @ identity ) ) ) @
% 3.68/1.09 B ) =
% 3.68/1.09 ( C ))).
% 3.68/1.09 thf(zip_derived_cl0, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @
% 3.68/1.09 (double_divide @ X1 @ (double_divide @ X2 @ identity)) @
% 3.68/1.09 (double_divide @
% 3.68/1.09 (double_divide @ X0 @
% 3.68/1.09 (double_divide @ X3 @ (double_divide @ X3 @ identity))) @
% 3.68/1.09 (double_divide @ X1 @ identity))) @
% 3.68/1.09 X2) = (X0))),
% 3.68/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl3, plain,
% 3.68/1.09 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.68/1.09 inference('cnf', [status(esa)], [identity])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl13, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ (double_divide @ X1 @ (inverse @ X2)) @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ (inverse @ X1))) @
% 3.68/1.09 X2) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2,
% 3.68/1.09 zip_derived_cl3, zip_derived_cl2, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl18, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ (inverse @ X1)) @ identity) @
% 3.68/1.09 X1) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 3.68/1.09 thf(zip_derived_cl1, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X1 @ X0)
% 3.68/1.09 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [multiply])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl66, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((double_divide @ (inverse @ identity) @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl21])).
% 3.68/1.09 thf(zip_derived_cl3, plain,
% 3.68/1.09 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.68/1.09 inference('cnf', [status(esa)], [identity])).
% 3.68/1.09 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl91, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X0) @ identity) @ X0)
% 3.68/1.09 = (identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl21])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl64, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((inverse @ (multiply @ (inverse @ identity) @ (inverse @ X0))) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl1, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X1 @ X0)
% 3.68/1.09 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [multiply])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl27, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl27, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl33, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((multiply @ identity @ (inverse @ X0))
% 3.68/1.09 = (inverse @ (multiply @ identity @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl27])).
% 3.68/1.09 thf(zip_derived_cl27, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl170, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ (multiply @ identity @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl64, zip_derived_cl77, zip_derived_cl33,
% 3.68/1.09 zip_derived_cl27])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl66, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((double_divide @ (inverse @ identity) @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl21])).
% 3.68/1.09 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl87, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl77])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl116, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ identity) = (inverse @ X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl125, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ X0) @ identity)
% 3.68/1.09 = (inverse @ (double_divide @ X0 @ X1)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl116])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl129, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ X0) @ identity) = (multiply @ X1 @ X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl206, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((multiply @ X0 @ identity)
% 3.68/1.09 = (multiply @ identity @ (multiply @ identity @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl129])).
% 3.68/1.09 thf(zip_derived_cl170, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ (multiply @ identity @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl64, zip_derived_cl77, zip_derived_cl33,
% 3.68/1.09 zip_derived_cl27])).
% 3.68/1.09 thf(zip_derived_cl214, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl170])).
% 3.68/1.09 thf(zip_derived_cl366, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ (inverse @ X0) @ X0) = (identity))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl214])).
% 3.68/1.09 thf(zip_derived_cl1, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X1 @ X0)
% 3.68/1.09 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [multiply])).
% 3.68/1.09 thf(zip_derived_cl367, plain,
% 3.68/1.09 (![X0 : $i]:
% 3.68/1.09 ((multiply @ X0 @ (inverse @ X0))
% 3.68/1.09 = (double_divide @ identity @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl3, plain,
% 3.68/1.09 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 3.68/1.09 inference('cnf', [status(esa)], [identity])).
% 3.68/1.09 thf(zip_derived_cl88, plain,
% 3.68/1.09 (((identity) = (double_divide @ identity @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl378, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl88])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl390, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl378, zip_derived_cl21])).
% 3.68/1.09 thf(zip_derived_cl87, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl77])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl13, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ (double_divide @ X1 @ (inverse @ X2)) @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ (inverse @ X1))) @
% 3.68/1.09 X2) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2,
% 3.68/1.09 zip_derived_cl3, zip_derived_cl2, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl15, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @
% 3.68/1.09 (double_divide @ (double_divide @ X1 @ (inverse @ identity)) @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ (inverse @ X1))))
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl3])).
% 3.68/1.09 thf(zip_derived_cl2, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 3.68/1.09 inference('cnf', [status(esa)], [inverse])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl446, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (inverse @ X0) @ (inverse @ X1)) @
% 3.68/1.09 (inverse @ X1)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl15, zip_derived_cl77, zip_derived_cl2,
% 3.68/1.09 zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl451, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @
% 3.68/1.09 (double_divide @ (inverse @ X1) @ (inverse @ (inverse @ X0))) @ X0)
% 3.68/1.09 = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl446])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl462, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl583, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl462])).
% 3.68/1.09 thf(zip_derived_cl6, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl87, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl77])).
% 3.68/1.09 thf(zip_derived_cl118, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ identity @ (multiply @ X1 @ X0))
% 3.68/1.09 = (double_divide @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl589, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ identity @ (inverse @ X0))
% 3.68/1.09 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl583, zip_derived_cl118])).
% 3.68/1.09 thf(zip_derived_cl87, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl77])).
% 3.68/1.09 thf(zip_derived_cl612, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl589, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl462, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl621, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ (double_divide @ X0 @ (inverse @ X1))) = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl462])).
% 3.68/1.09 thf(zip_derived_cl710, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @
% 3.68/1.09 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X0)) @ X0)
% 3.68/1.09 = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl621])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl718, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl710, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl737, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl718])).
% 3.68/1.09 thf(zip_derived_cl390, plain,
% 3.68/1.09 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl378, zip_derived_cl21])).
% 3.68/1.09 thf(zip_derived_cl118, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ identity @ (multiply @ X1 @ X0))
% 3.68/1.09 = (double_divide @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl409, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl118])).
% 3.68/1.09 thf(zip_derived_cl746, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @ X0)
% 3.68/1.09 = (double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl409])).
% 3.68/1.09 thf(zip_derived_cl21, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((double_divide @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X1)
% 3.68/1.09 = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.68/1.09 thf(zip_derived_cl13, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ (double_divide @ X1 @ (inverse @ X2)) @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ (inverse @ X1))) @
% 3.68/1.09 X2) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2,
% 3.68/1.09 zip_derived_cl3, zip_derived_cl2, zip_derived_cl2])).
% 3.68/1.09 thf(zip_derived_cl65, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ X0 @
% 3.68/1.09 (double_divide @ (inverse @ X1) @
% 3.68/1.09 (inverse @
% 3.68/1.09 (multiply @ (inverse @ (inverse @ X2)) @ (inverse @ X0))))) @
% 3.68/1.09 X2) = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl13])).
% 3.68/1.09 thf(zip_derived_cl27, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl74, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ X0 @
% 3.68/1.09 (double_divide @ (inverse @ X1) @
% 3.68/1.09 (inverse @
% 3.68/1.09 (multiply @ (multiply @ identity @ X2) @ (inverse @ X0))))) @
% 3.68/1.09 X2) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl27])).
% 3.68/1.09 thf(zip_derived_cl27, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl417, plain,
% 3.68/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl462, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl737, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl718])).
% 3.68/1.09 thf(zip_derived_cl758, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ (inverse @ X1))
% 3.68/1.09 = (double_divide @ (inverse @ X0) @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl737])).
% 3.68/1.09 thf(zip_derived_cl758, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ (inverse @ X1))
% 3.68/1.09 = (double_divide @ (inverse @ X0) @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl462, zip_derived_cl737])).
% 3.68/1.09 thf(zip_derived_cl409, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl118])).
% 3.68/1.09 thf(zip_derived_cl834, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @ (double_divide @ (inverse @ X1) @ X0))
% 3.68/1.09 = (double_divide @ (inverse @ X0) @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl758, zip_derived_cl409])).
% 3.68/1.09 thf(zip_derived_cl1509, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ X0 @
% 3.68/1.09 (double_divide @ (inverse @ X1) @
% 3.68/1.09 (double_divide @ (inverse @ X0) @ X2))) @
% 3.68/1.09 X2) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)],
% 3.68/1.09 [zip_derived_cl74, zip_derived_cl417, zip_derived_cl758,
% 3.68/1.09 zip_derived_cl834])).
% 3.68/1.09 thf(zip_derived_cl1535, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @
% 3.68/1.09 (double_divide @ X2 @
% 3.68/1.09 (double_divide @ (inverse @ X1) @ (inverse @ X0))) @
% 3.68/1.09 (multiply @ X0 @ X2)) = (X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl746, zip_derived_cl1509])).
% 3.68/1.09 thf(zip_derived_cl410, plain,
% 3.68/1.09 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl87])).
% 3.68/1.09 thf(zip_derived_cl583, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl462])).
% 3.68/1.09 thf(zip_derived_cl718, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl710, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl729, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (inverse @ X0) @ X1)
% 3.68/1.09 = (double_divide @ X0 @ (inverse @ X1)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl583, zip_derived_cl718])).
% 3.68/1.09 thf(zip_derived_cl822, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ X0 @ X1)
% 3.68/1.09 = (double_divide @ (inverse @ X0) @ (inverse @ X1)))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl729])).
% 3.68/1.09 thf(zip_derived_cl1557, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((double_divide @ (double_divide @ X2 @ (multiply @ X1 @ X0)) @
% 3.68/1.09 (multiply @ X0 @ X2)) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl1535, zip_derived_cl822])).
% 3.68/1.09 thf(zip_derived_cl409, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl118])).
% 3.68/1.09 thf(zip_derived_cl462, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0) = (X1))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl410])).
% 3.68/1.09 thf(zip_derived_cl582, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((multiply @ (double_divide @ (double_divide @ X1 @ X0) @ X2) @ X2)
% 3.68/1.09 = (multiply @ X0 @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl462])).
% 3.68/1.09 thf(zip_derived_cl2613, plain,
% 3.68/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.68/1.09 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 3.68/1.09 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 3.68/1.09 inference('sup+', [status(thm)], [zip_derived_cl1557, zip_derived_cl582])).
% 3.68/1.09 thf(zip_derived_cl2695, plain,
% 3.68/1.09 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 3.68/1.09 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 3.68/1.09 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2613])).
% 3.68/1.09 thf(zip_derived_cl2696, plain, ($false),
% 3.68/1.09 inference('simplify', [status(thm)], [zip_derived_cl2695])).
% 3.68/1.09
% 3.68/1.09 % SZS output end Refutation
% 3.68/1.09
% 3.68/1.09
% 3.68/1.09 % Terminating...
% 3.68/1.12 % Runner terminated.
% 3.68/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------