%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP108-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8WiQGKhg27 true
% Computer : n012.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 04:35:38 PM UTC 2025
% Result : Unsatisfiable 17.00s 2.95s
% Output : Refutation 17.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP108-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8WiQGKhg27 true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:05:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.43/0.55 % Total configuration time : 435
% 0.43/0.55 % Estimated wc time : 1092
% 0.43/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.00/2.95 % Solved by fo/fo7.sh.
% 17.00/2.95 % done 288 iterations in 2.252s
% 17.00/2.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.00/2.95 % SZS output start Refutation
% 17.00/2.95 thf(b3_type, type, b3: $i).
% 17.00/2.95 thf(multiply_type, type, multiply: $i > $i > $i).
% 17.00/2.95 thf(b1_type, type, b1: $i).
% 17.00/2.95 thf(inverse_type, type, inverse: $i > $i).
% 17.00/2.95 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 17.00/2.95 thf(a4_type, type, a4: $i).
% 17.00/2.95 thf(a3_type, type, a3: $i).
% 17.00/2.95 thf(a2_type, type, a2: $i).
% 17.00/2.95 thf(a1_type, type, a1: $i).
% 17.00/2.95 thf(b2_type, type, b2: $i).
% 17.00/2.95 thf(b4_type, type, b4: $i).
% 17.00/2.95 thf(c3_type, type, c3: $i).
% 17.00/2.95 thf(single_axiom, axiom,
% 17.00/2.95 (( inverse @
% 17.00/2.95 ( double_divide @
% 17.00/2.95 ( inverse @
% 17.00/2.95 ( double_divide @
% 17.00/2.95 X @
% 17.00/2.95 ( inverse @ ( double_divide @ Y @ ( double_divide @ X @ Z ) ) ) ) ) @
% 17.00/2.95 Z ) ) =
% 17.00/2.95 ( Y ))).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl4, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ X3 @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl20, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl163, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 17.00/2.95 (double_divide @ X1 @ X0))))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 17.00/2.95 (double_divide @ X3 @ X2)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl184, plain,
% 17.00/2.95 (![X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((double_divide @ (inverse @ (double_divide @ X1 @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ X1))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 17.00/2.95 (double_divide @ X3 @ X2)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl163, zip_derived_cl30, zip_derived_cl30])).
% 17.00/2.95 thf(zip_derived_cl20, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl345, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ X0))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl30, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X3)) @
% 17.00/2.95 (double_divide @ X2 @ X3)))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl161, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((double_divide @ (inverse @ (double_divide @ X1 @ X2)) @
% 17.00/2.95 (double_divide @ X1 @ X0))
% 17.00/2.95 = (double_divide @ (inverse @ (double_divide @ X3 @ X2)) @
% 17.00/2.95 (double_divide @ X3 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 17.00/2.95 thf(zip_derived_cl443, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X3 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X2)) @
% 17.00/2.95 (double_divide @ X2 @ X2)))) @
% 17.00/2.95 (double_divide @ X3 @ X1))
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl161])).
% 17.00/2.95 thf(zip_derived_cl345, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ X0))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl471, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.00/2.95 ((double_divide @ X3 @ (double_divide @ X3 @ X1))
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl345])).
% 17.00/2.95 thf(zip_derived_cl471, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.00/2.95 ((double_divide @ X3 @ (double_divide @ X3 @ X1))
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl345])).
% 17.00/2.95 thf(zip_derived_cl345, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ X0))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl570, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (double_divide @ X1 @ (double_divide @ X0 @ X0))))
% 17.00/2.95 = (inverse @ (double_divide @ X0 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl345])).
% 17.00/2.95 thf(zip_derived_cl659, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ X1 @ (double_divide @ X1 @ X0))))
% 17.00/2.95 = (inverse @ (double_divide @ X0 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl570])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl667, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @ X2)) @
% 17.00/2.95 (double_divide @ X0 @ X2)))
% 17.00/2.95 = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl659, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl723, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X0))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl696, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl345, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ X0))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl4, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ X1))
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ X3 @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ X3 @ (double_divide @ X2 @ X1)))))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl453, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X1))
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X1 @ X1)) @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl4])).
% 17.00/2.95 thf(zip_derived_cl941, plain,
% 17.00/2.95 (![X0 : $i]:
% 17.00/2.95 ((X0)
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (inverse @ X0))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl453])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl20, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl38, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X3 @ X2) @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 17.00/2.95 X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl986, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X0 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl941, zip_derived_cl38])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl453, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @ X1))
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X1 @ X1)) @ X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl4])).
% 17.00/2.95 thf(zip_derived_cl1041, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1)))) @
% 17.00/2.95 X0)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1006, zip_derived_cl453])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1084, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1)))) = (
% 17.00/2.95 X0))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl1041, zip_derived_cl1006, zip_derived_cl1006])).
% 17.00/2.95 thf(zip_derived_cl941, plain,
% 17.00/2.95 (![X0 : $i]:
% 17.00/2.95 ((X0)
% 17.00/2.95 = (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X0 @ X0)) @
% 17.00/2.95 (inverse @ X0))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl453])).
% 17.00/2.95 thf(zip_derived_cl6, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X0)))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl985, plain,
% 17.00/2.95 (![X0 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X0 @ (inverse @ X0)))) = (
% 17.00/2.95 X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl941, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl1005, plain,
% 17.00/2.95 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1065, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ (inverse @ X0) @ X0) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1005, zip_derived_cl1006])).
% 17.00/2.95 thf(zip_derived_cl1202, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ (inverse @ X0) @ X0)
% 17.00/2.95 = (double_divide @ X1 @ (inverse @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1065])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl1576, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X1)
% 17.00/2.95 = (double_divide @ (inverse @ X1) @
% 17.00/2.95 (double_divide @ X0 @ (inverse @ X0))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1202, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl20, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl1966, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X0)))
% 17.00/2.95 = (inverse @ X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1576, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl1005, plain,
% 17.00/2.95 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2027, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @ (inverse @ X0))
% 17.00/2.95 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1966, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl1005, plain,
% 17.00/2.95 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2085, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2027, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl1055, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ X1 @ (double_divide @ X1 @ X0))) @ X0))
% 17.00/2.95 = (double_divide @ X2 @ (inverse @ X2)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1006, zip_derived_cl0])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl1087, plain,
% 17.00/2.95 (![X0 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @ (double_divide @ (inverse @ X0) @ X0))
% 17.00/2.95 = (double_divide @ X2 @ (inverse @ X2)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl1055, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2085, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2027, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl3471, plain,
% 17.00/2.95 (![X0 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 17.00/2.95 = (double_divide @ X2 @ (inverse @ X2)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl1087, zip_derived_cl2104])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl38, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X3 @ X2) @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X3 @ X0)) @ X2)) @
% 17.00/2.95 X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl0, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X1 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 17.00/2.95 X2))
% 17.00/2.95 = (X0))),
% 17.00/2.95 inference('cnf', [status(esa)], [single_axiom])).
% 17.00/2.95 thf(zip_derived_cl20, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @
% 17.00/2.95 (double_divide @ X2 @ X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl36, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X2 @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X3 @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (double_divide @ X3 @ X2))))) @
% 17.00/2.95 X1))))
% 17.00/2.95 = (X1))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 17.00/2.95 thf(zip_derived_cl1084, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1)))) = (
% 17.00/2.95 X0))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl1041, zip_derived_cl1006, zip_derived_cl1006])).
% 17.00/2.95 thf(zip_derived_cl1005, plain,
% 17.00/2.95 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1166, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @ X0)
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl1084, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1)))) = (
% 17.00/2.95 X0))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl1041, zip_derived_cl1006, zip_derived_cl1006])).
% 17.00/2.95 thf(zip_derived_cl1006, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ X1)) = (
% 17.00/2.95 X1))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl986, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl1201, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ (inverse @ X0))
% 17.00/2.95 = (double_divide @ X1 @ (inverse @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1006])).
% 17.00/2.95 thf(prove_these_axioms, conjecture,
% 17.00/2.95 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 17.00/2.95 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 17.00/2.95 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 17.00/2.95 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 17.00/2.95 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 17.00/2.95 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 17.00/2.95 thf(zf_stmt_0, negated_conjecture,
% 17.00/2.95 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 17.00/2.95 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 17.00/2.95 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 17.00/2.95 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 17.00/2.95 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 17.00/2.95 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 17.00/2.95 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 17.00/2.95 thf(zip_derived_cl2, plain,
% 17.00/2.95 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 17.00/2.95 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 17.00/2.95 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 17.00/2.95 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 17.00/2.95 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.00/2.95 thf(multiply, axiom,
% 17.00/2.95 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl1, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('cnf', [status(esa)], [multiply])).
% 17.00/2.95 thf(zip_derived_cl3, plain,
% 17.00/2.95 ((((inverse @ (double_divide @ b4 @ a4))
% 17.00/2.95 != (inverse @ (double_divide @ a4 @ b4)))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @ a2 @
% 17.00/2.95 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 17.00/2.95 != (a2))
% 17.00/2.95 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 17.00/2.95 != (inverse @ (double_divide @ b1 @ (inverse @ b1)))))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 17.00/2.95 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 17.00/2.95 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 17.00/2.95 zip_derived_cl1, zip_derived_cl1])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl2207, plain,
% 17.00/2.95 ((((inverse @ (double_divide @ a4 @ b4))
% 17.00/2.95 != (inverse @ (double_divide @ a4 @ b4)))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3)))))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 17.00/2.95 != (a2))
% 17.00/2.95 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 17.00/2.95 != (inverse @ (double_divide @ b1 @ (inverse @ b1)))))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl3, zip_derived_cl2104, zip_derived_cl2104,
% 17.00/2.95 zip_derived_cl2104, zip_derived_cl2104, zip_derived_cl2104,
% 17.00/2.95 zip_derived_cl2104])).
% 17.00/2.95 thf(zip_derived_cl2208, plain,
% 17.00/2.95 ((((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 17.00/2.95 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 17.00/2.95 != (a2))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3))))))),
% 17.00/2.95 inference('simplify', [status(thm)], [zip_derived_cl2207])).
% 17.00/2.95 thf(zip_derived_cl1201, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ (inverse @ X0))
% 17.00/2.95 = (double_divide @ X1 @ (inverse @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1006])).
% 17.00/2.95 thf(zip_derived_cl2209, plain,
% 17.00/2.95 ((((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3)))))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('simplify_reflect+', [status(thm)],
% 17.00/2.95 [zip_derived_cl2208, zip_derived_cl1201])).
% 17.00/2.95 thf(zip_derived_cl2374, plain,
% 17.00/2.95 (![X0 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ a2))
% 17.00/2.95 != (a2))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3))))))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl1201, zip_derived_cl2209])).
% 17.00/2.95 thf(zip_derived_cl3051, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @
% 17.00/2.95 (double_divide @ (double_divide @ b3 @ c3) @
% 17.00/2.95 (double_divide @ X0 @ (inverse @ X0))))))
% 17.00/2.95 | ((inverse @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @ (double_divide @ X1 @ (inverse @ X1))) @ a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl1166, zip_derived_cl2374])).
% 17.00/2.95 thf(zip_derived_cl1166, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @ X0)
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl1166, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((inverse @ X0)
% 17.00/2.95 = (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl3145, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ a3 @
% 17.00/2.95 (double_divide @ (double_divide @ b3 @ c3) @
% 17.00/2.95 (double_divide @ X0 @ (inverse @ X0))))))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl3051, zip_derived_cl1166, zip_derived_cl1166,
% 17.00/2.95 zip_derived_cl2104])).
% 17.00/2.95 thf(zip_derived_cl3148, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ X0 @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (double_divide @ b3 @ c3) @
% 17.00/2.95 (double_divide @ X0 @ a3)))))))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl3145])).
% 17.00/2.95 thf(zip_derived_cl1005, plain,
% 17.00/2.95 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl3172, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (double_divide @ X0 @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (double_divide @ b3 @ c3) @
% 17.00/2.95 (double_divide @ X0 @ a3)))))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl3148, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl3198, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (double_divide @ X0 @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (double_divide @ b3 @ c3) @
% 17.00/2.95 (double_divide @ a3 @ X0)))))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl2104, zip_derived_cl3172])).
% 17.00/2.95 thf(zip_derived_cl3222, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (double_divide @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ b3 @ a3)) @ c3)) @
% 17.00/2.95 X0) @
% 17.00/2.95 X0))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl3198])).
% 17.00/2.95 thf(zip_derived_cl2104, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl696])).
% 17.00/2.95 thf(zip_derived_cl696, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X1 @ X0)))),
% 17.00/2.95 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl6])).
% 17.00/2.95 thf(zip_derived_cl2085, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2027, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl2140, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X1) = (double_divide @ (double_divide @ X1 @ X0) @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl696, zip_derived_cl2085])).
% 17.00/2.95 thf(zip_derived_cl3236, plain,
% 17.00/2.95 (![X1 : $i]:
% 17.00/2.95 (((inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 17.00/2.95 != (inverse @
% 17.00/2.95 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3)))
% 17.00/2.95 | ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl3222, zip_derived_cl2104, zip_derived_cl2140])).
% 17.00/2.95 thf(zip_derived_cl3237, plain,
% 17.00/2.95 (![X1 : $i]:
% 17.00/2.95 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ X1 @ (inverse @ X1))) @
% 17.00/2.95 a2))
% 17.00/2.95 != (a2))),
% 17.00/2.95 inference('simplify', [status(thm)], [zip_derived_cl3236])).
% 17.00/2.95 thf(zip_derived_cl3247, plain,
% 17.00/2.95 (![X0 : $i]:
% 17.00/2.95 ((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 17.00/2.95 (double_divide @ a2 @
% 17.00/2.95 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 17.00/2.95 (double_divide @ X0 @ (inverse @ X0)))))
% 17.00/2.95 != (a2))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl2104, zip_derived_cl3237])).
% 17.00/2.95 thf(zip_derived_cl3498, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ a2 @
% 17.00/2.95 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (inverse @ (double_divide @ X0 @ (inverse @ X0))))))
% 17.00/2.95 != (a2))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl3471, zip_derived_cl3247])).
% 17.00/2.95 thf(zip_derived_cl1202, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ (inverse @ X0) @ X0)
% 17.00/2.95 = (double_divide @ X1 @ (inverse @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl1065])).
% 17.00/2.95 thf(zip_derived_cl2085, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2027, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl2085, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl2027, zip_derived_cl1005])).
% 17.00/2.95 thf(zip_derived_cl2095, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X1) = (double_divide @ (double_divide @ X0 @ X1) @ X0))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl2085, zip_derived_cl2085])).
% 17.00/2.95 thf(zip_derived_cl2196, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((X1)
% 17.00/2.95 = (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 17.00/2.95 (inverse @ X1)))),
% 17.00/2.95 inference('sup+', [status(thm)], [zip_derived_cl1202, zip_derived_cl2095])).
% 17.00/2.95 thf(zip_derived_cl3631, plain,
% 17.00/2.95 (![X0 : $i, X1 : $i]:
% 17.00/2.95 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 17.00/2.95 (double_divide @ a2 @ (double_divide @ X0 @ (inverse @ X0))))
% 17.00/2.95 != (a2))),
% 17.00/2.95 inference('demod', [status(thm)],
% 17.00/2.95 [zip_derived_cl3498, zip_derived_cl2196])).
% 17.00/2.95 thf(zip_derived_cl3651, plain, (((a2) != (a2))),
% 17.00/2.95 inference('sup-', [status(thm)], [zip_derived_cl2085, zip_derived_cl3631])).
% 17.00/2.95 thf(zip_derived_cl3700, plain, ($false),
% 17.00/2.95 inference('simplify', [status(thm)], [zip_derived_cl3651])).
% 17.00/2.95
% 17.00/2.95 % SZS output end Refutation
% 17.00/2.95
% 17.00/2.95
% 17.00/2.95 % Terminating...
% 17.00/2.99 % Runner terminated.
% 17.00/3.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------