%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP610-1 : 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.lKvcfWkv0m true
% Computer : n001.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 04:36:46 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.98s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP610-1 : TPTP v9.2.0. Released v2.6.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lKvcfWkv0m true
% 0.14/0.35 % Computer : n001.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 14:17:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.87 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.98 % Solved by fo/fo3_bce.sh.
% 0.59/0.98 % BCE start: 3
% 0.59/0.98 % BCE eliminated: 0
% 0.59/0.98 % PE start: 3
% 0.59/0.98 logic: eq
% 0.59/0.98 % PE eliminated: 0
% 0.59/0.98 % done 48 iterations in 0.224s
% 0.59/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.98 % SZS output start Refutation
% 0.59/0.98 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.98 thf(a2_type, type, a2: $i).
% 0.59/0.98 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.98 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.59/0.98 thf(b2_type, type, b2: $i).
% 0.59/0.98 thf(single_axiom, axiom,
% 0.59/0.98 (( inverse @
% 0.59/0.98 ( double_divide @
% 0.59/0.98 ( inverse @
% 0.59/0.98 ( double_divide @ ( inverse @ ( double_divide @ A @ B ) ) @ C ) ) @
% 0.59/0.98 ( double_divide @ A @ C ) ) ) =
% 0.59/0.98 ( B ))).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl5, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ X0 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.59/0.98 (double_divide @ X2 @ X1))))
% 0.59/0.98 = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl8, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 0.59/0.98 (double_divide @ X2 @ X3)))
% 0.59/0.98 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X0)))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl53, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.59/0.98 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.59/0.98 X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl8, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 0.59/0.98 (double_divide @ X2 @ X3)))
% 0.59/0.98 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X0)))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl5, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ X0 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.59/0.98 (double_divide @ X2 @ X1))))
% 0.59/0.98 = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl42, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ X1 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.59/0.98 (double_divide @ X1 @ X0)))))
% 0.59/0.98 = (X2))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.59/0.98 thf(zip_derived_cl53, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((double_divide @ (inverse @ (double_divide @ X2 @ X1)) @
% 0.59/0.98 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0)))) = (
% 0.59/0.98 X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl109, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ (inverse @ X0) @
% 0.59/0.98 (double_divide @ X2 @
% 0.59/0.98 (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))))))
% 0.59/0.98 = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl5, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ X0 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 0.59/0.98 (double_divide @ X2 @ X1))))
% 0.59/0.98 = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl0, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X2)) @
% 0.59/0.98 (double_divide @ X1 @ X2)))
% 0.59/0.98 = (X0))),
% 0.59/0.98 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.98 thf(zip_derived_cl4, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 0.59/0.98 (double_divide @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1)) @
% 0.59/0.98 X3)))
% 0.59/0.98 = (double_divide @ X2 @ X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.98 thf(zip_derived_cl19, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((X0)
% 0.59/0.98 = (double_divide @ X2 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ X1 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.59/0.98 thf(zip_derived_cl315, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((double_divide @ (inverse @ (double_divide @ X2 @ (inverse @ X1))) @
% 0.59/0.98 (inverse @ (double_divide @ X0 @ X1))) = (double_divide @ X2 @ X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl19])).
% 0.59/0.98 thf(zip_derived_cl19, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((X0)
% 0.59/0.98 = (double_divide @ X2 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ X1 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.59/0.98 thf(zip_derived_cl370, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @ (double_divide @ X0 @ X2))
% 0.59/0.98 = (double_divide @ X1 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl19])).
% 0.59/0.98 thf(zip_derived_cl395, plain,
% 0.59/0.98 (![X0 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (inverse @ (double_divide @ X0 @ (double_divide @ X2 @ X0)))) = (
% 0.59/0.98 X2))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl370])).
% 0.59/0.98 thf(zip_derived_cl486, plain,
% 0.59/0.98 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl395, plain,
% 0.59/0.98 (![X0 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (inverse @ (double_divide @ X0 @ (double_divide @ X2 @ X0)))) = (
% 0.59/0.98 X2))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl370])).
% 0.59/0.98 thf(zip_derived_cl500, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl19, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((X0)
% 0.59/0.98 = (double_divide @ X2 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ X1 @
% 0.59/0.98 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.59/0.98 thf(zip_derived_cl599, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((X0)
% 0.59/0.98 = (double_divide @ X1 @
% 0.59/0.98 (inverse @ (inverse @ (double_divide @ X1 @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl19])).
% 0.59/0.98 thf(zip_derived_cl486, plain,
% 0.59/0.98 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl619, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl486])).
% 0.59/0.98 thf(zip_derived_cl500, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl370, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.98 ((inverse @ (double_divide @ X0 @ X2))
% 0.59/0.98 = (double_divide @ X1 @
% 0.59/0.98 (inverse @
% 0.59/0.98 (double_divide @ (inverse @ X2) @ (double_divide @ X1 @ X0)))))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl19])).
% 0.59/0.98 thf(zip_derived_cl605, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((inverse @ (double_divide @ (inverse @ X1) @ X1))
% 0.59/0.98 = (double_divide @ X0 @ (inverse @ X0)))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl370])).
% 0.59/0.98 thf(zip_derived_cl619, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl486])).
% 0.59/0.98 thf(zip_derived_cl500, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl500, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl576, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl500])).
% 0.59/0.98 thf(zip_derived_cl676, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl619, zip_derived_cl576])).
% 0.59/0.98 thf(zip_derived_cl798, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((inverse @ (double_divide @ X1 @ (inverse @ X1)))
% 0.59/0.98 = (double_divide @ X0 @ (inverse @ X0)))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl605, zip_derived_cl676])).
% 0.59/0.98 thf(prove_these_axioms_2, conjecture,
% 0.59/0.98 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.59/0.98 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.98 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.59/0.98 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.59/0.98 thf(zip_derived_cl2, plain,
% 0.59/0.98 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.59/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.98 thf(multiply, axiom,
% 0.59/0.98 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.59/0.98 thf(zip_derived_cl1, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.98 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.98 thf(zip_derived_cl1, plain,
% 0.59/0.98 (![X0 : $i, X1 : $i]:
% 0.59/0.98 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.59/0.98 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.98 thf(zip_derived_cl3, plain,
% 0.59/0.98 (((inverse @
% 0.59/0.98 (double_divide @ a2 @
% 0.59/0.98 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 0.59/0.98 != (a2))),
% 0.59/0.98 inference('demod', [status(thm)],
% 0.59/0.98 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.59/0.98 thf(zip_derived_cl855, plain,
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 ((inverse @
% 0.59/0.98 (double_divide @ a2 @ (double_divide @ X0 @ (inverse @ X0))))
% 0.59/0.98 != (a2))),
% 0.59/0.98 inference('sup-', [status(thm)], [zip_derived_cl798, zip_derived_cl3])).
% 0.59/0.98 thf(zip_derived_cl917, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.59/0.98 inference('sup-', [status(thm)], [zip_derived_cl619, zip_derived_cl855])).
% 0.59/0.98 thf(zip_derived_cl486, plain,
% 0.59/0.98 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.98 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl395])).
% 0.59/0.98 thf(zip_derived_cl927, plain, (((a2) != (a2))),
% 0.59/0.98 inference('demod', [status(thm)], [zip_derived_cl917, zip_derived_cl486])).
% 0.59/0.98 thf(zip_derived_cl928, plain, ($false),
% 0.59/0.98 inference('simplify', [status(thm)], [zip_derived_cl927])).
% 0.59/0.98
% 0.59/0.98 % SZS output end Refutation
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 % Terminating...
% 2.02/1.07 % Runner terminated.
% 2.02/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------