%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP601-1 : 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.EvEy3bRTiH true
% Computer : n010.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 04:36:45 PM UTC 2025
% Result : Unsatisfiable 4.42s 1.35s
% Output : Refutation 4.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP601-1 : TPTP v9.2.0. Released v2.6.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EvEy3bRTiH true
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:27:08 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.42/1.35 % Solved by fo/fo7.sh.
% 4.42/1.35 % done 63 iterations in 0.523s
% 4.42/1.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.42/1.35 % SZS output start Refutation
% 4.42/1.35 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.42/1.35 thf(b1_type, type, b1: $i).
% 4.42/1.35 thf(inverse_type, type, inverse: $i > $i).
% 4.42/1.35 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 4.42/1.35 thf(a1_type, type, a1: $i).
% 4.42/1.35 thf(single_axiom, axiom,
% 4.42/1.35 (( inverse @
% 4.42/1.35 ( double_divide @
% 4.42/1.35 ( inverse @
% 4.42/1.35 ( double_divide @
% 4.42/1.35 A @
% 4.42/1.35 ( inverse @ ( double_divide @ B @ ( double_divide @ A @ C ) ) ) ) ) @
% 4.42/1.35 C ) ) =
% 4.42/1.35 ( B ))).
% 4.42/1.35 thf(zip_derived_cl0, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 4.42/1.35 X2))
% 4.42/1.35 = (X0))),
% 4.42/1.35 inference('cnf', [status(esa)], [single_axiom])).
% 4.42/1.35 thf(zip_derived_cl0, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 4.42/1.35 X2))
% 4.42/1.35 = (X0))),
% 4.42/1.35 inference('cnf', [status(esa)], [single_axiom])).
% 4.42/1.35 thf(zip_derived_cl4, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @ X3 @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl0, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 4.42/1.35 X2))
% 4.42/1.35 = (X0))),
% 4.42/1.35 inference('cnf', [status(esa)], [single_axiom])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl20, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X1))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl163, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 4.42/1.35 (double_divide @ X1 @ X0))))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 4.42/1.35 (double_divide @ X3 @ X2)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl184, plain,
% 4.42/1.35 (![X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((double_divide @ (inverse @ (double_divide @ X1 @ X1)) @
% 4.42/1.35 (double_divide @ X1 @ X1))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 4.42/1.35 (double_divide @ X3 @ X2)))),
% 4.42/1.35 inference('demod', [status(thm)],
% 4.42/1.35 [zip_derived_cl163, zip_derived_cl30, zip_derived_cl30])).
% 4.42/1.35 thf(zip_derived_cl20, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X1))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl345, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 4.42/1.35 (double_divide @ X0 @ X0))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl30, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 4.42/1.35 (double_divide @ X2 @ X3)))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl161, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 4.42/1.35 (double_divide @ X1 @ X0))
% 4.42/1.35 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 4.42/1.35 (double_divide @ X3 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 4.42/1.35 thf(zip_derived_cl443, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X3 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X2)) @
% 4.42/1.35 (double_divide @ X2 @ X2)))) @
% 4.42/1.35 (double_divide @ X3 @ X1))
% 4.42/1.35 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl161])).
% 4.42/1.35 thf(zip_derived_cl345, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 4.42/1.35 (double_divide @ X0 @ X0))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 4.42/1.35 thf(zip_derived_cl471, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X3 : $i]:
% 4.42/1.35 ((double_divide @ X3 @ (double_divide @ X3 @ X1))
% 4.42/1.35 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl345])).
% 4.42/1.35 thf(zip_derived_cl471, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X3 : $i]:
% 4.42/1.35 ((double_divide @ X3 @ (double_divide @ X3 @ X1))
% 4.42/1.35 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl345])).
% 4.42/1.35 thf(zip_derived_cl345, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 4.42/1.35 (double_divide @ X0 @ X0))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 4.42/1.35 thf(zip_derived_cl570, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (double_divide @ X1 @ (double_divide @ X0 @ X0))))
% 4.42/1.35 = (inverse @ (double_divide @ X0 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl345])).
% 4.42/1.35 thf(zip_derived_cl659, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ X1 @ (double_divide @ X1 @ X0))))
% 4.42/1.35 = (inverse @ (double_divide @ X0 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl570])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl667, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @ X2)) @
% 4.42/1.35 (double_divide @ X0 @ X2)))
% 4.42/1.35 = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl659, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl696, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl0, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 4.42/1.35 X2))
% 4.42/1.35 = (X0))),
% 4.42/1.35 inference('cnf', [status(esa)], [single_axiom])).
% 4.42/1.35 thf(zip_derived_cl723, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X0))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl696, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl345, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X1 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 4.42/1.35 (double_divide @ X0 @ X0))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 4.42/1.35 thf(zip_derived_cl4, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @ X3 @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl453, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X1))
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X1 @ X1)) @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl4])).
% 4.42/1.35 thf(zip_derived_cl941, plain,
% 4.42/1.35 (![X0 : $i]:
% 4.42/1.35 ((X0)
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 4.42/1.35 (inverse @ X0))))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl453])).
% 4.42/1.35 thf(zip_derived_cl6, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X0)))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.42/1.35 thf(zip_derived_cl20, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 4.42/1.35 (double_divide @ X2 @ X1))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl38, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X3 @ X2) @
% 4.42/1.35 (double_divide @ X0 @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 4.42/1.35 X1))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl20])).
% 4.42/1.35 thf(zip_derived_cl986, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 4.42/1.35 (double_divide @ X0 @ (double_divide @ X0 @ X1))))
% 4.42/1.35 = (X1))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl941, zip_derived_cl38])).
% 4.42/1.35 thf(zip_derived_cl696, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 4.42/1.35 thf(zip_derived_cl1006, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 4.42/1.35 X1))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 4.42/1.35 thf(zip_derived_cl453, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X1))
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @ (inverse @ (double_divide @ X1 @ X1)) @ X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl4])).
% 4.42/1.35 thf(zip_derived_cl1041, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))
% 4.42/1.35 = (inverse @
% 4.42/1.35 (double_divide @
% 4.42/1.35 (inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 4.42/1.35 (double_divide @ X1 @ (inverse @ X1)))) @
% 4.42/1.35 X0)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl1006, zip_derived_cl453])).
% 4.42/1.35 thf(zip_derived_cl1006, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 4.42/1.35 X1))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 4.42/1.35 thf(zip_derived_cl1006, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 4.42/1.35 X1))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 4.42/1.35 thf(zip_derived_cl1084, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1)))) = (
% 4.42/1.35 X0))),
% 4.42/1.35 inference('demod', [status(thm)],
% 4.42/1.35 [zip_derived_cl1041, zip_derived_cl1006, zip_derived_cl1006])).
% 4.42/1.35 thf(zip_derived_cl1006, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((inverse @
% 4.42/1.35 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 4.42/1.35 X1))),
% 4.42/1.35 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 4.42/1.35 thf(zip_derived_cl1201, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((double_divide @ X0 @ (inverse @ X0))
% 4.42/1.35 = (double_divide @ X1 @ (inverse @ X1)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1006])).
% 4.42/1.35 thf(prove_these_axioms_1, conjecture,
% 4.42/1.35 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 4.42/1.35 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 4.42/1.35 thf(zf_stmt_0, negated_conjecture,
% 4.42/1.35 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 4.42/1.35 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 4.42/1.35 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 4.42/1.35 thf(zip_derived_cl2, plain,
% 4.42/1.35 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 4.42/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.42/1.35 thf(multiply, axiom,
% 4.42/1.35 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 4.42/1.35 thf(zip_derived_cl1, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.42/1.35 inference('cnf', [status(esa)], [multiply])).
% 4.42/1.35 thf(zip_derived_cl1, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 4.42/1.35 inference('cnf', [status(esa)], [multiply])).
% 4.42/1.35 thf(zip_derived_cl3, plain,
% 4.42/1.35 (((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 4.42/1.35 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))),
% 4.42/1.35 inference('demod', [status(thm)],
% 4.42/1.35 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 4.42/1.35 thf(zip_derived_cl1449, plain,
% 4.42/1.35 (![X0 : $i]:
% 4.42/1.35 ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 4.42/1.35 != (inverse @ (double_divide @ X0 @ (inverse @ X0))))),
% 4.42/1.35 inference('sup-', [status(thm)], [zip_derived_cl1201, zip_derived_cl3])).
% 4.42/1.35 thf(zip_derived_cl1201, plain,
% 4.42/1.35 (![X0 : $i, X1 : $i]:
% 4.42/1.35 ((double_divide @ X0 @ (inverse @ X0))
% 4.42/1.35 = (double_divide @ X1 @ (inverse @ X1)))),
% 4.42/1.35 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1006])).
% 4.42/1.35 thf(zip_derived_cl1527, plain, ($false),
% 4.42/1.35 inference('simplify_reflect+', [status(thm)],
% 4.42/1.35 [zip_derived_cl1449, zip_derived_cl1201])).
% 4.42/1.35
% 4.42/1.35 % SZS output end Refutation
% 4.42/1.35
% 4.42/1.35
% 4.42/1.35 % Terminating...
% 4.99/1.51 % Runner terminated.
% 4.99/1.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------