%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP111-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s2KRtCD35t true
% Computer : n011.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 04:35:39 PM UTC 2025
% Result : Unsatisfiable 48.48s 7.58s
% Output : Refutation 48.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP111-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s2KRtCD35t true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:04:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 48.48/7.58 % Solved by fo/fo7.sh.
% 48.48/7.58 % done 2280 iterations in 6.786s
% 48.48/7.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 48.48/7.58 % SZS output start Refutation
% 48.48/7.58 thf(b3_type, type, b3: $i).
% 48.48/7.58 thf(multiply_type, type, multiply: $i > $i > $i).
% 48.48/7.58 thf(b1_type, type, b1: $i).
% 48.48/7.58 thf(inverse_type, type, inverse: $i > $i).
% 48.48/7.58 thf(a4_type, type, a4: $i).
% 48.48/7.58 thf(a3_type, type, a3: $i).
% 48.48/7.58 thf(a2_type, type, a2: $i).
% 48.48/7.58 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 48.48/7.58 thf(a1_type, type, a1: $i).
% 48.48/7.58 thf(b2_type, type, b2: $i).
% 48.48/7.58 thf(b4_type, type, b4: $i).
% 48.48/7.58 thf(c3_type, type, c3: $i).
% 48.48/7.58 thf(single_axiom, axiom,
% 48.48/7.58 (( double_divide @
% 48.48/7.58 ( inverse @
% 48.48/7.58 ( double_divide @
% 48.48/7.58 ( inverse @ ( double_divide @ X @ ( inverse @ Y ) ) ) @ Z ) ) @
% 48.48/7.58 ( double_divide @ X @ Z ) ) =
% 48.48/7.58 ( Y ))).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl4, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (inverse @ X1))) @
% 48.48/7.58 (double_divide @ X3 @ X2))) @
% 48.48/7.58 X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl4, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (inverse @ X1))) @
% 48.48/7.58 (double_divide @ X3 @ X2))) @
% 48.48/7.58 X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl26, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X3 @ (inverse @ (inverse @ X1)))) @
% 48.48/7.58 X2)) @
% 48.48/7.58 (double_divide @ X3 @ X2)))) @
% 48.48/7.58 X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl31, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl42, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl31, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl54, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl63, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @
% 48.48/7.58 (inverse @ X1))) @
% 48.48/7.58 (inverse @ X0))) @
% 48.48/7.58 X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl54, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 48.48/7.58 thf(zip_derived_cl77, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl54, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl54, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl5, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 48.48/7.58 (double_divide @ X2 @ (inverse @ X1))))
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl67, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @ (inverse @ X1))))
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 48.48/7.58 thf(zip_derived_cl54, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 48.48/7.58 thf(zip_derived_cl79, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl187, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (inverse @ X0)) @
% 48.48/7.58 (double_divide @ X0 @ X1)) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl79])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl204, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl42, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl79, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl93, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @ X0)
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl79])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl218, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (inverse @ X1))
% 48.48/7.58 = (double_divide @ X0 @ (inverse @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl189])).
% 48.48/7.58 thf(zip_derived_cl204, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl331, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (double_divide @ X0 @ (inverse @ X0)))
% 48.48/7.58 = (inverse @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl77, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl5, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 48.48/7.58 (double_divide @ X2 @ (inverse @ X1))))
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl9, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ X3 @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @ X2 @
% 48.48/7.58 (inverse @ (double_divide @ X3 @ (inverse @ X1))))) @
% 48.48/7.58 (double_divide @ X2 @ (inverse @ X0)))))
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl166, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ X0)) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl9])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl347, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @
% 48.48/7.58 (double_divide @ X0 @ (inverse @ X0))) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl189])).
% 48.48/7.58 thf(zip_derived_cl5, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 48.48/7.58 (double_divide @ X2 @ (inverse @ X1))))
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl364, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ X1 @ (inverse @ X0))) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl347, zip_derived_cl5])).
% 48.48/7.58 thf(zip_derived_cl395, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ (inverse @ X0)) @
% 48.48/7.58 (double_divide @ X1 @ X0)) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl364])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl404, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl404, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl409, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl404])).
% 48.48/7.58 thf(zip_derived_cl204, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl331, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (double_divide @ X0 @ (inverse @ X0)))
% 48.48/7.58 = (inverse @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl841, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ X1 @ (double_divide @ X0 @ (inverse @ X0)))) = (
% 48.48/7.58 X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl404, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X1 @ X0)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl204, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl347, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @
% 48.48/7.58 (double_divide @ X0 @ (inverse @ X0))) = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl189])).
% 48.48/7.58 thf(zip_derived_cl457, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl347])).
% 48.48/7.58 thf(zip_derived_cl907, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X2 @ (inverse @ X2)) @ X0)
% 48.48/7.58 = (double_divide @ X0 @ (double_divide @ X1 @ (inverse @ X1))))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl841, zip_derived_cl457])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl31, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 48.48/7.58 = (X1))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 48.48/7.58 thf(zip_derived_cl364, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ X1 @ (inverse @ X0))) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl347, zip_derived_cl5])).
% 48.48/7.58 thf(zip_derived_cl392, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @
% 48.48/7.58 (double_divide @ (inverse @ (inverse @ X1)) @ (inverse @ X0))))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl364])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl587, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ (inverse @ X0))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl402])).
% 48.48/7.58 thf(zip_derived_cl606, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @ (inverse @ X1))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl587])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl331, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (double_divide @ X0 @ (inverse @ X0)))
% 48.48/7.58 = (inverse @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl218, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (inverse @ X1))
% 48.48/7.58 = (double_divide @ X0 @ (inverse @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl189])).
% 48.48/7.58 thf(prove_these_axioms, conjecture,
% 48.48/7.58 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 48.48/7.58 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 48.48/7.58 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 48.48/7.58 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 48.48/7.58 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 48.48/7.58 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 48.48/7.58 thf(zf_stmt_0, negated_conjecture,
% 48.48/7.58 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 48.48/7.58 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 48.48/7.58 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 48.48/7.58 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 48.48/7.58 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 48.48/7.58 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 48.48/7.58 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 48.48/7.58 thf(zip_derived_cl2, plain,
% 48.48/7.58 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 48.48/7.58 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 48.48/7.58 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 48.48/7.58 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 48.48/7.58 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 48.48/7.58 thf(multiply, axiom,
% 48.48/7.58 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl1, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 48.48/7.58 inference('cnf', [status(esa)], [multiply])).
% 48.48/7.58 thf(zip_derived_cl3, plain,
% 48.48/7.58 ((((inverse @ (double_divide @ b4 @ a4))
% 48.48/7.58 != (inverse @ (double_divide @ a4 @ b4)))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ c3 @ (inverse @ (double_divide @ b3 @ a3))))
% 48.48/7.58 != (inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ c3 @ b3)) @ a3)))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ a2 @
% 48.48/7.58 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 48.48/7.58 != (a2))
% 48.48/7.58 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 48.48/7.58 != (inverse @ (double_divide @ b1 @ (inverse @ b1)))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 48.48/7.58 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 48.48/7.58 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 48.48/7.58 zip_derived_cl1, zip_derived_cl1])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl436, plain,
% 48.48/7.58 ((((inverse @ (double_divide @ a4 @ b4))
% 48.48/7.58 != (inverse @ (double_divide @ a4 @ b4)))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (inverse @
% 48.48/7.58 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3)))))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 48.48/7.58 != (a2))
% 48.48/7.58 | ((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 48.48/7.58 != (inverse @ (double_divide @ b1 @ (inverse @ b1)))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl3, zip_derived_cl407, zip_derived_cl407,
% 48.48/7.58 zip_derived_cl407, zip_derived_cl407, zip_derived_cl407,
% 48.48/7.58 zip_derived_cl407])).
% 48.48/7.58 thf(zip_derived_cl437, plain,
% 48.48/7.58 ((((inverse @ (double_divide @ a1 @ (inverse @ a1)))
% 48.48/7.58 != (inverse @ (double_divide @ b1 @ (inverse @ b1))))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 48.48/7.58 != (a2))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (inverse @
% 48.48/7.58 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3))))))),
% 48.48/7.58 inference('simplify', [status(thm)], [zip_derived_cl436])).
% 48.48/7.58 thf(zip_derived_cl218, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (inverse @ X1))
% 48.48/7.58 = (double_divide @ X0 @ (inverse @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl189])).
% 48.48/7.58 thf(zip_derived_cl438, plain,
% 48.48/7.58 ((((inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (inverse @
% 48.48/7.58 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3)))))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ b2 @ (inverse @ b2))) @ a2))
% 48.48/7.58 != (a2)))),
% 48.48/7.58 inference('simplify_reflect+', [status(thm)],
% 48.48/7.58 [zip_derived_cl437, zip_derived_cl218])).
% 48.48/7.58 thf(zip_derived_cl557, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 (((inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X0 @ (inverse @ X0))) @ a2))
% 48.48/7.58 != (a2))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (inverse @
% 48.48/7.58 (double_divide @ a3 @ (inverse @ (double_divide @ b3 @ c3))))))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl438])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl565, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 (((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ a2))
% 48.48/7.58 != (a2))
% 48.48/7.58 | ((inverse @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl557, zip_derived_cl402, zip_derived_cl189,
% 48.48/7.58 zip_derived_cl402])).
% 48.48/7.58 thf(zip_derived_cl587, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ (inverse @ X0))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl402])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl587, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ (inverse @ X0))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl402])).
% 48.48/7.58 thf(zip_derived_cl587, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ (inverse @ X0))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl402])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl594, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 (((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ a2)) != (a2))
% 48.48/7.58 | ((double_divide @ (double_divide @ a3 @ b3) @ (inverse @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl565, zip_derived_cl587, zip_derived_cl402,
% 48.48/7.58 zip_derived_cl189, zip_derived_cl587, zip_derived_cl587,
% 48.48/7.58 zip_derived_cl402, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl457, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 48.48/7.58 (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl347])).
% 48.48/7.58 thf(zip_derived_cl798, plain,
% 48.48/7.58 ((((a2) != (a2))
% 48.48/7.58 | ((double_divide @ (double_divide @ a3 @ b3) @ (inverse @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl594, zip_derived_cl457])).
% 48.48/7.58 thf(zip_derived_cl799, plain,
% 48.48/7.58 (((double_divide @ (double_divide @ a3 @ b3) @ (inverse @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('simplify', [status(thm)], [zip_derived_cl798])).
% 48.48/7.58 thf(zip_derived_cl858, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @ c3 @ (double_divide @ X0 @ (inverse @ X0))))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl799])).
% 48.48/7.58 thf(zip_derived_cl959, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl858])).
% 48.48/7.58 thf(zip_derived_cl989, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (double_divide @ (double_divide @ X0 @ X1) @
% 48.48/7.58 (double_divide @ (inverse @ X1) @ (inverse @ X0))) @
% 48.48/7.58 c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl606, zip_derived_cl959])).
% 48.48/7.58 thf(zip_derived_cl3646, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ X0)) @
% 48.48/7.58 c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl907, zip_derived_cl989])).
% 48.48/7.58 thf(zip_derived_cl189, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (inverse @ X0))
% 48.48/7.58 = (double_divide @ (inverse @ X1) @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 48.48/7.58 thf(zip_derived_cl3815, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 48.48/7.58 (double_divide @ X0 @ (inverse @ X0))) @
% 48.48/7.58 c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl3646, zip_derived_cl189])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl567, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((inverse @ (double_divide @ (inverse @ X1) @ X0))
% 48.48/7.58 = (double_divide @ X1 @ (inverse @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl738, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2))
% 48.48/7.58 = (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ X2)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl567])).
% 48.48/7.58 thf(zip_derived_cl0, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 48.48/7.58 (double_divide @ X1 @ X2)) = (X0))),
% 48.48/7.58 inference('cnf', [status(esa)], [single_axiom])).
% 48.48/7.58 thf(zip_derived_cl402, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X1) @ X0)
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ (inverse @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl560, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X1 @ X2) @
% 48.48/7.58 (inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2)))
% 48.48/7.58 = (X0))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl0, zip_derived_cl402, zip_derived_cl407])).
% 48.48/7.58 thf(zip_derived_cl738, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2))
% 48.48/7.58 = (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ X2)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl567])).
% 48.48/7.58 thf(zip_derived_cl5721, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X1 @ X2) @
% 48.48/7.58 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ X2)))
% 48.48/7.58 = (X0))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl560, zip_derived_cl738])).
% 48.48/7.58 thf(zip_derived_cl409, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X0 @ X1) @ X0) = (X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl404])).
% 48.48/7.58 thf(zip_derived_cl5724, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X2 @ X1))
% 48.48/7.58 = (double_divide @ (double_divide @ X2 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ X1)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl5721, zip_derived_cl409])).
% 48.48/7.58 thf(zip_derived_cl6075, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2))
% 48.48/7.58 = (double_divide @ X0 @ (double_divide @ X1 @ X2)))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl738, zip_derived_cl5724])).
% 48.48/7.58 thf(zip_derived_cl6545, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @ X2))
% 48.48/7.58 = (double_divide @ X1 @ (double_divide @ X0 @ X2)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl6075])).
% 48.48/7.58 thf(zip_derived_cl170, plain,
% 48.48/7.58 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 48.48/7.58 thf(zip_derived_cl8795, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @ (double_divide @ X2 @ (double_divide @ X1 @ X0)))
% 48.48/7.58 = (double_divide @ (double_divide @ X2 @ (inverse @ X1)) @ X0))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl6545, zip_derived_cl170])).
% 48.48/7.58 thf(zip_derived_cl6075, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2))
% 48.48/7.58 = (double_divide @ X0 @ (double_divide @ X1 @ X2)))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl738, zip_derived_cl5724])).
% 48.48/7.58 thf(zip_derived_cl9129, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X3) @ X2) @
% 48.48/7.58 (inverse @ X1)) @
% 48.48/7.58 X0)
% 48.48/7.58 = (double_divide @ X2 @
% 48.48/7.58 (double_divide @ X3 @ (double_divide @ X1 @ X0))))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl8795, zip_derived_cl6075])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl5724, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ X0 @ (double_divide @ X2 @ X1))
% 48.48/7.58 = (double_divide @ (double_divide @ X2 @ (inverse @ X0)) @
% 48.48/7.58 (inverse @ X1)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl5721, zip_derived_cl409])).
% 48.48/7.58 thf(zip_derived_cl6167, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ (double_divide @ X0 @ X2))
% 48.48/7.58 = (double_divide @ (double_divide @ (inverse @ X1) @ X0) @
% 48.48/7.58 (inverse @ X2)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl5724])).
% 48.48/7.58 thf(zip_derived_cl9213, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X3 @ (double_divide @ X2 @ X1)) @
% 48.48/7.58 X0)
% 48.48/7.58 = (double_divide @ X2 @
% 48.48/7.58 (double_divide @ X3 @ (double_divide @ X1 @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl9129, zip_derived_cl6167])).
% 48.48/7.58 thf(zip_derived_cl17521, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ a3 @ b3) @
% 48.48/7.58 (double_divide @ X0 @
% 48.48/7.58 (double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ c3))))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl3815, zip_derived_cl9213])).
% 48.48/7.58 thf(zip_derived_cl17522, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 48.48/7.58 (double_divide @ (inverse @ (double_divide @ a3 @ b3)) @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl17521])).
% 48.48/7.58 thf(zip_derived_cl606, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @ (inverse @ X1))
% 48.48/7.58 = (inverse @ (double_divide @ X1 @ X0)))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl587])).
% 48.48/7.58 thf(zip_derived_cl407, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i]:
% 48.48/7.58 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 48.48/7.58 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl204])).
% 48.48/7.58 thf(zip_derived_cl17669, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X0 @ (inverse @ X0)) @
% 48.48/7.58 (double_divide @
% 48.48/7.58 (double_divide @ (inverse @ a3) @ (inverse @ b3)) @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl17522, zip_derived_cl606, zip_derived_cl407])).
% 48.48/7.58 thf(zip_derived_cl17790, plain,
% 48.48/7.58 (((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ a3) @ (inverse @ b3)) @
% 48.48/7.58 c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl409, zip_derived_cl17669])).
% 48.48/7.58 thf(zip_derived_cl6075, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.48/7.58 ((inverse @
% 48.48/7.58 (double_divide @ (double_divide @ (inverse @ X1) @ X0) @ X2))
% 48.48/7.58 = (double_divide @ X0 @ (double_divide @ X1 @ X2)))),
% 48.48/7.58 inference('demod', [status(thm)], [zip_derived_cl738, zip_derived_cl5724])).
% 48.48/7.58 thf(zip_derived_cl17867, plain,
% 48.48/7.58 (((double_divide @ (inverse @ b3) @ (double_divide @ a3 @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl17790, zip_derived_cl6075])).
% 48.48/7.58 thf(zip_derived_cl17938, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @
% 48.48/7.58 (double_divide @ b3 @ (double_divide @ X0 @ (inverse @ X0))) @
% 48.48/7.58 (double_divide @ a3 @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl17867])).
% 48.48/7.58 thf(zip_derived_cl9213, plain,
% 48.48/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 48.48/7.58 ((double_divide @ (double_divide @ X3 @ (double_divide @ X2 @ X1)) @
% 48.48/7.58 X0)
% 48.48/7.58 = (double_divide @ X2 @
% 48.48/7.58 (double_divide @ X3 @ (double_divide @ X1 @ X0))))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl9129, zip_derived_cl6167])).
% 48.48/7.58 thf(zip_derived_cl17939, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ X0 @
% 48.48/7.58 (double_divide @ b3 @
% 48.48/7.58 (double_divide @ (inverse @ X0) @ (double_divide @ a3 @ c3))))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('demod', [status(thm)],
% 48.48/7.58 [zip_derived_cl17938, zip_derived_cl9213])).
% 48.48/7.58 thf(zip_derived_cl18155, plain,
% 48.48/7.58 (![X0 : $i]:
% 48.48/7.58 ((double_divide @ (inverse @ X0) @
% 48.48/7.58 (double_divide @ b3 @
% 48.48/7.58 (double_divide @ X0 @ (double_divide @ a3 @ c3))))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl17939])).
% 48.48/7.58 thf(zip_derived_cl19478, plain,
% 48.48/7.58 (((double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3))
% 48.48/7.58 != (double_divide @ (inverse @ a3) @ (double_divide @ b3 @ c3)))),
% 48.48/7.58 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl18155])).
% 48.48/7.58 thf(zip_derived_cl19560, plain, ($false),
% 48.48/7.58 inference('simplify', [status(thm)], [zip_derived_cl19478])).
% 48.48/7.58
% 48.48/7.58 % SZS output end Refutation
% 48.48/7.58
% 48.48/7.58
% 48.48/7.58 % Terminating...
% 48.96/7.67 % Runner terminated.
% 48.96/7.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------