%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP498-1 : 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.8s7BsNCEj3 true
% Computer : n021.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 0.61s 1.06s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP498-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8s7BsNCEj3 true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:27:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/1.06 % Solved by fo/fo5.sh.
% 0.61/1.06 % done 398 iterations in 0.233s
% 0.61/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/1.06 % SZS output start Refutation
% 0.61/1.06 thf(c3_type, type, c3: $i).
% 0.61/1.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.61/1.06 thf(b3_type, type, b3: $i).
% 0.61/1.06 thf(a3_type, type, a3: $i).
% 0.61/1.06 thf(identity_type, type, identity: $i).
% 0.61/1.06 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.61/1.06 thf(inverse_type, type, inverse: $i > $i).
% 0.61/1.06 thf(prove_these_axioms_3, conjecture,
% 0.61/1.06 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 0.61/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 0.61/1.06 thf(zf_stmt_0, negated_conjecture,
% 0.61/1.06 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.61/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 0.61/1.06 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 0.61/1.06 thf(zip_derived_cl4, plain,
% 0.61/1.06 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.61/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.61/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/1.06 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(multiply, axiom,
% 0.61/1.06 (( multiply @ A @ B ) =
% 0.61/1.06 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl7, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((multiply @ identity @ X0)
% 0.61/1.06 = (double_divide @ (inverse @ X0) @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl10, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.61/1.06 thf(identity, axiom,
% 0.61/1.06 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(single_axiom, axiom,
% 0.61/1.06 (( double_divide @
% 0.61/1.06 ( double_divide @
% 0.61/1.06 identity @ ( double_divide @ A @ ( double_divide @ B @ identity ) ) ) @
% 0.61/1.06 ( double_divide @
% 0.61/1.06 ( double_divide @ B @ ( double_divide @ C @ A ) ) @ identity ) ) =
% 0.61/1.06 ( C ))).
% 0.61/1.06 thf(zip_derived_cl0, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @
% 0.61/1.06 (double_divide @ X1 @ (double_divide @ X2 @ identity))) @
% 0.61/1.06 (double_divide @ (double_divide @ X2 @ (double_divide @ X0 @ X1)) @
% 0.61/1.06 identity))
% 0.61/1.06 = (X0))),
% 0.61/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl13, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X2))) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X2)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl16, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @
% 0.61/1.06 (double_divide @ identity @ (inverse @ X1))) @
% 0.61/1.06 (multiply @ (inverse @ X0) @ X1)) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl242, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((double_divide @ (double_divide @ identity @ identity) @
% 0.61/1.06 (multiply @ (inverse @ X0) @ identity)) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl23, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((identity)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.61/1.06 thf(zip_derived_cl13, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X2))) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X2)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl204, plain,
% 0.61/1.06 (((identity) = (double_divide @ identity @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl3])).
% 0.61/1.06 thf(zip_derived_cl248, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((double_divide @ identity @ (multiply @ (inverse @ X0) @ identity))
% 0.61/1.06 = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl204])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl13, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X2))) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X2)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl17, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @
% 0.61/1.06 (double_divide @ (inverse @ X0) @ (inverse @ X1))) @
% 0.61/1.06 (multiply @ identity @ X1)) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl10, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.61/1.06 thf(zip_derived_cl329, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @
% 0.61/1.06 (double_divide @ (inverse @ X0) @ (inverse @ X1))) @
% 0.61/1.06 (inverse @ (inverse @ X1))) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.61/1.06 thf(zip_derived_cl339, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @
% 0.61/1.06 (double_divide @ (inverse @ X0) @ (inverse @ identity))) @
% 0.61/1.06 (inverse @ identity)) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl329])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl346, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl339, zip_derived_cl169, zip_derived_cl2,
% 0.61/1.06 zip_derived_cl169, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl248, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((double_divide @ identity @ (multiply @ (inverse @ X0) @ identity))
% 0.61/1.06 = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl204])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl275, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (inverse @ X0) @ identity) @ identity)
% 0.61/1.06 = (inverse @ X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl6])).
% 0.61/1.06 thf(zip_derived_cl357, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl275])).
% 0.61/1.06 thf(zip_derived_cl346, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl339, zip_derived_cl169, zip_derived_cl2,
% 0.61/1.06 zip_derived_cl169, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl248, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((double_divide @ identity @ (multiply @ (inverse @ X0) @ identity))
% 0.61/1.06 = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl204])).
% 0.61/1.06 thf(zip_derived_cl356, plain,
% 0.61/1.06 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl248])).
% 0.61/1.06 thf(zip_derived_cl378, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl248, zip_derived_cl357, zip_derived_cl356])).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl26, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl202, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl169])).
% 0.61/1.06 thf(zip_derived_cl391, plain,
% 0.61/1.06 (![X0 : $i]:
% 0.61/1.06 ((multiply @ X0 @ (inverse @ (inverse @ (inverse @ X0)))) = (identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl378, zip_derived_cl202])).
% 0.61/1.06 thf(zip_derived_cl378, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl248, zip_derived_cl357, zip_derived_cl356])).
% 0.61/1.06 thf(zip_derived_cl346, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl339, zip_derived_cl169, zip_derived_cl2,
% 0.61/1.06 zip_derived_cl169, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl13, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X2))) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X2)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl14, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (double_divide @ X0 @ X2) @ X1) @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X2 @ (inverse @ X1))))
% 0.61/1.06 = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl22, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (double_divide @ X0 @ X2) @ X1) @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X2 @ (inverse @ X1))))
% 0.61/1.06 = (inverse @ X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2])).
% 0.61/1.06 thf(zip_derived_cl356, plain,
% 0.61/1.06 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl248])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl517, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (double_divide @ X0 @ X2) @ X1) @
% 0.61/1.06 (multiply @ (inverse @ X1) @ X2)) = (inverse @ X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl22, zip_derived_cl356, zip_derived_cl6])).
% 0.61/1.06 thf(zip_derived_cl523, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @
% 0.61/1.06 (multiply @ (double_divide @ X1 @ identity) @ (inverse @ X0)) @ X0)
% 0.61/1.06 = (inverse @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl517])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl541, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (inverse @ X1) @ (inverse @ X0)) @ X0)
% 0.61/1.06 = (inverse @ X1))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl2])).
% 0.61/1.06 thf(zip_derived_cl600, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1)
% 0.61/1.06 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl378, zip_derived_cl541])).
% 0.61/1.06 thf(zip_derived_cl378, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl248, zip_derived_cl357, zip_derived_cl356])).
% 0.61/1.06 thf(zip_derived_cl604, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl378])).
% 0.61/1.06 thf(zip_derived_cl612, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ identity @ (inverse @ (inverse @ X0))) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl604, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl378])).
% 0.61/1.06 thf(zip_derived_cl627, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl604, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl378])).
% 0.61/1.06 thf(zip_derived_cl640, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl627, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl650, plain,
% 0.61/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl604, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ X1) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl600, zip_derived_cl378])).
% 0.61/1.06 thf(zip_derived_cl678, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl650, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl346, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ (inverse @ (inverse @ X0)) @ identity) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl339, zip_derived_cl169, zip_derived_cl2,
% 0.61/1.06 zip_derived_cl169, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl358, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (inverse @ (multiply @ X1 @ X0)) @ identity)
% 0.61/1.06 = (double_divide @ X0 @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl346])).
% 0.61/1.06 thf(zip_derived_cl717, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (inverse @ X0) @ identity)
% 0.61/1.06 = (double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl358])).
% 0.61/1.06 thf(zip_derived_cl357, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl275])).
% 0.61/1.06 thf(zip_derived_cl650, plain,
% 0.61/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl667, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl738, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((inverse @ X0)
% 0.61/1.06 = (double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl717, zip_derived_cl667])).
% 0.61/1.06 thf(zip_derived_cl3, plain,
% 0.61/1.06 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.61/1.06 inference('cnf', [status(esa)], [identity])).
% 0.61/1.06 thf(zip_derived_cl13, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((double_divide @
% 0.61/1.06 (double_divide @ identity @ (double_divide @ X1 @ (inverse @ X2))) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X2)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl20, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ (double_divide @ identity @ identity) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X1)) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl21, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ (inverse @ identity) @
% 0.61/1.06 (multiply @ (double_divide @ X0 @ X1) @ X1)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 0.61/1.06 thf(zip_derived_cl169, plain, (((identity) = (inverse @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.61/1.06 thf(zip_derived_cl356, plain,
% 0.61/1.06 (![X0 : $i]: ((double_divide @ identity @ X0) = (inverse @ X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl248])).
% 0.61/1.06 thf(zip_derived_cl420, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((inverse @ (multiply @ (double_divide @ X0 @ X1) @ X1)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl21, zip_derived_cl169, zip_derived_cl356])).
% 0.61/1.06 thf(zip_derived_cl378, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl248, zip_derived_cl357, zip_derived_cl356])).
% 0.61/1.06 thf(zip_derived_cl425, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((inverse @ (inverse @ (inverse @ X0)))
% 0.61/1.06 = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl378])).
% 0.61/1.06 thf(zip_derived_cl650, plain,
% 0.61/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl671, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((inverse @ X0) = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl425, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl1, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X1 @ X0)
% 0.61/1.06 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [multiply])).
% 0.61/1.06 thf(zip_derived_cl9, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 0.61/1.06 = (double_divide @ (multiply @ X1 @ X0) @ identity))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl2, plain,
% 0.61/1.06 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.61/1.06 inference('cnf', [status(esa)], [inverse])).
% 0.61/1.06 thf(zip_derived_cl11, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ identity @ (double_divide @ X0 @ X1))
% 0.61/1.06 = (inverse @ (multiply @ X1 @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.61/1.06 thf(zip_derived_cl640, plain,
% 0.61/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl627, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl651, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ X0 @ X1) = (inverse @ (multiply @ X1 @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl822, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ X1 @ (double_divide @ X0 @ X1))
% 0.61/1.06 = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl651])).
% 0.61/1.06 thf(zip_derived_cl650, plain,
% 0.61/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl840, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ X1 @ (double_divide @ X0 @ X1)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl822, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl840, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ X1 @ (double_divide @ X0 @ X1)) = (X0))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl822, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl847, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl840])).
% 0.61/1.06 thf(zip_derived_cl1402, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((double_divide @ (inverse @ X0) @ (inverse @ X1))
% 0.61/1.06 = (multiply @ X0 @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl738, zip_derived_cl847])).
% 0.61/1.06 thf(zip_derived_cl517, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (double_divide @ X0 @ X2) @ X1) @
% 0.61/1.06 (multiply @ (inverse @ X1) @ X2)) = (inverse @ X0))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl22, zip_derived_cl356, zip_derived_cl6])).
% 0.61/1.06 thf(zip_derived_cl2040, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.61/1.06 (multiply @ (inverse @ X2) @ (inverse @ X0)))
% 0.61/1.06 = (inverse @ (inverse @ X1)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl1402, zip_derived_cl517])).
% 0.61/1.06 thf(zip_derived_cl671, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((inverse @ X0) = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl425, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl678, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl650, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl823, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (inverse @ X0) @ (inverse @ X1))
% 0.61/1.06 = (double_divide @ X0 @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl678])).
% 0.61/1.06 thf(zip_derived_cl650, plain,
% 0.61/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl640])).
% 0.61/1.06 thf(zip_derived_cl2067, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.61/1.06 (double_divide @ X2 @ X0)) = (X1))),
% 0.61/1.06 inference('demod', [status(thm)],
% 0.61/1.06 [zip_derived_cl2040, zip_derived_cl823, zip_derived_cl650])).
% 0.61/1.06 thf(zip_derived_cl6, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.61/1.06 thf(zip_derived_cl678, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl650, zip_derived_cl604])).
% 0.61/1.06 thf(zip_derived_cl720, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ (multiply @ X2 @ (double_divide @ X0 @ X1)) @
% 0.61/1.06 (multiply @ X1 @ X0)) = (X2))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl678])).
% 0.61/1.06 thf(zip_derived_cl2749, plain,
% 0.61/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.06 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.61/1.06 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.61/1.06 inference('sup+', [status(thm)], [zip_derived_cl2067, zip_derived_cl720])).
% 0.61/1.06 thf(zip_derived_cl2852, plain,
% 0.61/1.06 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.61/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.61/1.06 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2749])).
% 0.61/1.06 thf(zip_derived_cl2853, plain, ($false),
% 0.61/1.06 inference('simplify', [status(thm)], [zip_derived_cl2852])).
% 0.61/1.06
% 0.61/1.06 % SZS output end Refutation
% 0.61/1.06
% 0.61/1.06
% 0.61/1.06 % Terminating...
% 3.30/1.10 % Runner terminated.
% 3.30/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------