TSTP Solution File: GRP471-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP471-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zt1iFd86KL true
% Computer : n022.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 Aug 31 01:51:47 EDT 2023
% Result : Unsatisfiable 39.50s 6.25s
% Output : Refutation 39.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP471-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zt1iFd86KL true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:23:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 39.50/6.25 % Solved by fo/fo7.sh.
% 39.50/6.25 % done 2447 iterations in 5.462s
% 39.50/6.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.50/6.25 % SZS output start Refutation
% 39.50/6.25 thf(a3_type, type, a3: $i).
% 39.50/6.25 thf(multiply_type, type, multiply: $i > $i > $i).
% 39.50/6.25 thf(inverse_type, type, inverse: $i > $i).
% 39.50/6.25 thf(c3_type, type, c3: $i).
% 39.50/6.25 thf(divide_type, type, divide: $i > $i > $i).
% 39.50/6.25 thf(b3_type, type, b3: $i).
% 39.50/6.25 thf(single_axiom, axiom,
% 39.50/6.25 (( divide @
% 39.50/6.25 ( inverse @ ( divide @ A @ ( divide @ B @ ( divide @ C @ D ) ) ) ) @
% 39.50/6.25 ( divide @ ( divide @ D @ C ) @ A ) ) =
% 39.50/6.25 ( B ))).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl6, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ X4 @ X0)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X1 @ X2)) @ X4))
% 39.50/6.25 = (inverse @ (divide @ X3 @ (divide @ X0 @ (divide @ X2 @ X1)))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl87, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl87, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl193, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ X2 @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X6 @ X0)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X5 @ X4)) @ X6)) @
% 39.50/6.25 (divide @ (divide @ X5 @ X4) @ X3))) @
% 39.50/6.25 X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl87, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl7, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl260, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X3) @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ X4) @
% 39.50/6.25 (inverse @ (divide @ X4 @ X0))) @
% 39.50/6.25 (inverse @ X0)))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl7])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl2119, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ X0) @
% 39.50/6.25 (divide @ (inverse @ (divide @ X3 @ X4)) @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (divide @ (inverse @ X4) @ X2)) @
% 39.50/6.25 X3)))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl217])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl256, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @
% 39.50/6.25 (divide @ X1 @
% 39.50/6.25 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 39.50/6.25 (inverse @ (divide @ X4 @ X0)))))) @
% 39.50/6.25 X0) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl2801, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @ X2)
% 39.50/6.25 = (inverse @
% 39.50/6.25 (divide @
% 39.50/6.25 (inverse @ (divide @ (divide @ (inverse @ X1) @ X0) @ X2)) @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2119, zip_derived_cl256])).
% 39.50/6.25 thf(zip_derived_cl2980, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 39.50/6.25 (divide @ X3 @ X2))
% 39.50/6.25 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2801])).
% 39.50/6.25 thf(zip_derived_cl2980, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 39.50/6.25 (divide @ X3 @ X2))
% 39.50/6.25 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2801])).
% 39.50/6.25 thf(zip_derived_cl3553, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 39.50/6.25 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl7, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl7, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl21, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X5) @
% 39.50/6.25 (divide @ (divide @ X6 @ X7) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X7 @ X6) @ (divide @ X5 @ (divide @ X1 @ X0))))))
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @
% 39.50/6.25 (divide @ X2 @ (divide @ X0 @ X1))))) @
% 39.50/6.25 (inverse @ X2)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 39.50/6.25 thf(zip_derived_cl7, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl27, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ X0 @ X1)
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @
% 39.50/6.25 (divide @ X2 @ (divide @ X0 @ X1))))) @
% 39.50/6.25 (inverse @ X2)))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 39.50/6.25 thf(zip_derived_cl42, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X2 @ (divide @ X0 @ (divide @ X3 @ X4)))) @
% 39.50/6.25 (divide @ (divide @ X4 @ X3) @ X2))
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X5 @ X6) @
% 39.50/6.25 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl27])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl51, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 39.50/6.25 ((X0)
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X5 @ X6) @
% 39.50/6.25 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl261, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((X2)
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ (divide @ (divide @ X2 @ X1) @ X3) @
% 39.50/6.25 (inverse @ (divide @ X3 @ X0))) @
% 39.50/6.25 (inverse @ X0)) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl260, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X3) @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ X4) @
% 39.50/6.25 (inverse @ (divide @ X4 @ X0))) @
% 39.50/6.25 (inverse @ X0)))
% 39.50/6.25 = (divide @ X2 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl7])).
% 39.50/6.25 thf(zip_derived_cl2130, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (inverse @ (divide @ X3 @ X2))) @
% 39.50/6.25 (divide @ X0 @ (inverse @ X1)))
% 39.50/6.25 = (divide @ X3 @ (divide @ X0 @ (divide @ (inverse @ X2) @ X1))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl260])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl2283, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (inverse @ (inverse @ (divide @ X3 @ X2))) @
% 39.50/6.25 (divide @ X1 @ (inverse @ X0)))) @
% 39.50/6.25 (divide @ (divide @ X0 @ (inverse @ X2)) @ X3)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2130, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl3727, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 39.50/6.25 (divide @ (divide @ (divide @ X2 @ X3) @ (inverse @ X3)) @ X2))
% 39.50/6.25 = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl2283])).
% 39.50/6.25 thf(zip_derived_cl217, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 39.50/6.25 (divide @ (divide @ X2 @ X0) @ X7)) @
% 39.50/6.25 (divide @ X0 @ X2)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 39.50/6.25 thf(zip_derived_cl4370, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X0 @
% 39.50/6.25 (divide @ (inverse @ X2) @ (divide @ (inverse @ X1) @ X2)))
% 39.50/6.25 = (divide @ X0 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl3727, zip_derived_cl217])).
% 39.50/6.25 thf(zip_derived_cl51, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 39.50/6.25 ((X0)
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X5 @ X6) @
% 39.50/6.25 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl4520, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2))
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X3 @ X4) @
% 39.50/6.25 (inverse @ (divide @ (divide @ X4 @ X3) @ (divide @ X1 @ X0)))) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4370, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl51, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 39.50/6.25 ((X0)
% 39.50/6.25 = (divide @
% 39.50/6.25 (divide @ (divide @ X5 @ X6) @
% 39.50/6.25 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 39.50/6.25 (inverse @ X1)))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl4654, plain,
% 39.50/6.25 (![X0 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl4654, plain,
% 39.50/6.25 (![X0 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl4754, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X0) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl4654])).
% 39.50/6.25 thf(zip_derived_cl3553, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 39.50/6.25 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl3724, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 39.50/6.25 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X2))))
% 39.50/6.25 = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl4906, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4754, zip_derived_cl3724])).
% 39.50/6.25 thf(zip_derived_cl3553, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 39.50/6.25 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 39.50/6.25 thf(zip_derived_cl6, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ X4 @ X0)) @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ X1 @ X2)) @ X4))
% 39.50/6.25 = (inverse @ (divide @ X3 @ (divide @ X0 @ (divide @ X2 @ X1)))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl0, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 39.50/6.25 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 39.50/6.25 inference('cnf', [status(esa)], [single_axiom])).
% 39.50/6.25 thf(zip_derived_cl108, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((inverse @
% 39.50/6.25 (divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X3 @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 39.50/6.25 (divide @ X1 @ X0))))
% 39.50/6.25 = (X3))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 39.50/6.25 thf(zip_derived_cl3726, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((inverse @
% 39.50/6.25 (divide @ (inverse @ X0) @
% 39.50/6.25 (divide @
% 39.50/6.25 (divide @ X3 @
% 39.50/6.25 (divide @ (divide @ X1 @ X2) @ (inverse @ (divide @ X2 @ X1)))) @
% 39.50/6.25 X0)))
% 39.50/6.25 = (X3))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl108])).
% 39.50/6.25 thf(zip_derived_cl4906, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4754, zip_derived_cl3724])).
% 39.50/6.25 thf(zip_derived_cl5110, plain,
% 39.50/6.25 (![X0 : $i, X3 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl3726, zip_derived_cl4906])).
% 39.50/6.25 thf(zip_derived_cl5425, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (inverse @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (divide @ X0 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4906, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl4906, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4754, zip_derived_cl3724])).
% 39.50/6.25 thf(zip_derived_cl4654, plain,
% 39.50/6.25 (![X0 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl2801, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X0) @ X2)
% 39.50/6.25 = (inverse @
% 39.50/6.25 (divide @
% 39.50/6.25 (inverse @ (divide @ (divide @ (inverse @ X1) @ X0) @ X2)) @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl2119, zip_derived_cl256])).
% 39.50/6.25 thf(zip_derived_cl4753, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X2)
% 39.50/6.25 = (inverse @ (divide @ (inverse @ (divide @ X0 @ X2)) @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl2801])).
% 39.50/6.25 thf(zip_derived_cl5233, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.50/6.25 ((divide @
% 39.50/6.25 (inverse @
% 39.50/6.25 (divide @ (inverse @ X1) @
% 39.50/6.25 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X2))))) @
% 39.50/6.25 X0) = (inverse @ (inverse @ (divide @ X1 @ X0))))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4906, zip_derived_cl4753])).
% 39.50/6.25 thf(zip_derived_cl4906, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4754, zip_derived_cl3724])).
% 39.50/6.25 thf(zip_derived_cl5362, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (inverse @ X1)) @ X0)
% 39.50/6.25 = (inverse @ (inverse @ (divide @ X1 @ X0))))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5233, zip_derived_cl4906])).
% 39.50/6.25 thf(zip_derived_cl5551, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ (inverse @ X1)) @ X0))
% 39.50/6.25 = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5425, zip_derived_cl5362])).
% 39.50/6.25 thf(zip_derived_cl4754, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X0) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl4654])).
% 39.50/6.25 thf(zip_derived_cl5591, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4754])).
% 39.50/6.25 thf(zip_derived_cl4906, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X2 @
% 39.50/6.25 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 39.50/6.25 = (X2))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4754, zip_derived_cl3724])).
% 39.50/6.25 thf(zip_derived_cl5659, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ X1 @
% 39.50/6.25 (divide @ X0 @
% 39.50/6.25 (inverse @ (divide @ (inverse @ X2) @ (divide @ X0 @ X2)))))
% 39.50/6.25 = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5591, zip_derived_cl4906])).
% 39.50/6.25 thf(zip_derived_cl5110, plain,
% 39.50/6.25 (![X0 : $i, X3 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl3726, zip_derived_cl4906])).
% 39.50/6.25 thf(zip_derived_cl5739, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5659, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl5551, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ (inverse @ X1)) @ X0))
% 39.50/6.25 = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5425, zip_derived_cl5362])).
% 39.50/6.25 thf(zip_derived_cl5739, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5659, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl5110, plain,
% 39.50/6.25 (![X0 : $i, X3 : $i]:
% 39.50/6.25 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl3726, zip_derived_cl4906])).
% 39.50/6.25 thf(zip_derived_cl5854, plain,
% 39.50/6.25 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl6011, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (divide @ X2 @ X2) @ (divide @ X1 @ X0))
% 39.50/6.25 = (divide @ X0 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5947, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl5854, plain,
% 39.50/6.25 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl5591, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4754])).
% 39.50/6.25 thf(zip_derived_cl5902, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5854, zip_derived_cl5591])).
% 39.50/6.25 thf(zip_derived_cl5997, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (inverse @ X0)) @ X0) = (divide @ X1 @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5947, zip_derived_cl5902])).
% 39.50/6.25 thf(zip_derived_cl5854, plain,
% 39.50/6.25 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl6028, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5997, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(prove_these_axioms_3, conjecture,
% 39.50/6.25 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 39.50/6.25 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 39.50/6.25 thf(zf_stmt_0, negated_conjecture,
% 39.50/6.25 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 39.50/6.25 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 39.50/6.25 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 39.50/6.25 thf(zip_derived_cl2, plain,
% 39.50/6.25 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 39.50/6.25 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 39.50/6.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 39.50/6.25 thf(multiply, axiom,
% 39.50/6.25 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 39.50/6.25 thf(zip_derived_cl1, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.50/6.25 inference('cnf', [status(esa)], [multiply])).
% 39.50/6.25 thf(zip_derived_cl1, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.50/6.25 inference('cnf', [status(esa)], [multiply])).
% 39.50/6.25 thf(zip_derived_cl1, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.50/6.25 inference('cnf', [status(esa)], [multiply])).
% 39.50/6.25 thf(zip_derived_cl1, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 39.50/6.25 inference('cnf', [status(esa)], [multiply])).
% 39.50/6.25 thf(zip_derived_cl3, plain,
% 39.50/6.25 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 39.50/6.25 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 39.50/6.25 zip_derived_cl1, zip_derived_cl1])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5919, plain,
% 39.50/6.25 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 39.50/6.25 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl6015, plain,
% 39.50/6.25 (![X0 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 39.50/6.25 != (divide @ a3 @ (divide @ (divide @ (divide @ X0 @ X0) @ c3) @ b3)))),
% 39.50/6.25 inference('sup-', [status(thm)], [zip_derived_cl5947, zip_derived_cl5919])).
% 39.50/6.25 thf(zip_derived_cl6188, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X0 @ X0) @ c3))
% 39.50/6.25 != (divide @ a3 @ (divide @ (divide @ (divide @ X1 @ X1) @ c3) @ b3)))),
% 39.50/6.25 inference('sup-', [status(thm)], [zip_derived_cl5947, zip_derived_cl6015])).
% 39.50/6.25 thf(zip_derived_cl6247, plain,
% 39.50/6.25 (![X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X1 @ X1) @ c3))
% 39.50/6.25 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 39.50/6.25 inference('sup-', [status(thm)], [zip_derived_cl5947, zip_derived_cl6188])).
% 39.50/6.25 thf(zip_derived_cl5591, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4754])).
% 39.50/6.25 thf(zip_derived_cl4654, plain,
% 39.50/6.25 (![X0 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl5591, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4754])).
% 39.50/6.25 thf(zip_derived_cl5723, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X0 @ (inverse @ (divide @ (inverse @ X0) @ X1)))
% 39.50/6.25 = (inverse @ X1))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl5591])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5854, plain,
% 39.50/6.25 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl4654, plain,
% 39.50/6.25 (![X0 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 39.50/6.25 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 39.50/6.25 thf(zip_derived_cl5899, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (inverse @ X1) @ (divide @ X0 @ X1)) = (inverse @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5854, zip_derived_cl4654])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl6389, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ (divide @ X1 @ X1) @ X1) @ (divide @ X0 @ X1))
% 39.50/6.25 = (inverse @ X0))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5899, zip_derived_cl5947])).
% 39.50/6.25 thf(zip_derived_cl5739, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5659, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl6467, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X0 @ (divide @ X1 @ (inverse @ X0)))
% 39.50/6.25 = (divide @ (divide @ X1 @ X1) @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5723, zip_derived_cl5889, zip_derived_cl6389,
% 39.50/6.25 zip_derived_cl5739])).
% 39.50/6.25 thf(zip_derived_cl6515, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X1 @ X0)
% 39.50/6.25 = (divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)) @
% 39.50/6.25 (divide @ X0 @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5591, zip_derived_cl6467])).
% 39.50/6.25 thf(zip_derived_cl6028, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5997, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl6532, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X1 @ X0)
% 39.50/6.25 = (divide @ (divide @ X1 @ X1) @ (divide @ X0 @ X1)))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl6515, zip_derived_cl6028])).
% 39.50/6.25 thf(zip_derived_cl6532, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X1 @ X0)
% 39.50/6.25 = (divide @ (divide @ X1 @ X1) @ (divide @ X0 @ X1)))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl6515, zip_derived_cl6028])).
% 39.50/6.25 thf(zip_derived_cl6868, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ X0 @ X1) @ (divide @ X1 @ X1))
% 39.50/6.25 = (divide @ (divide @ (divide @ X0 @ X1) @ (divide @ X0 @ X1)) @
% 39.50/6.25 (divide @ X1 @ X0)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl6532, zip_derived_cl6532])).
% 39.50/6.25 thf(zip_derived_cl5739, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5659, zip_derived_cl5110])).
% 39.50/6.25 thf(zip_derived_cl6028, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5997, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl6889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ X0 @ X1)
% 39.50/6.25 = (divide @ (divide @ X1 @ X1) @ (divide @ X1 @ X0)))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl6868, zip_derived_cl5739, zip_derived_cl6028])).
% 39.50/6.25 thf(zip_derived_cl10158, plain,
% 39.50/6.25 (![X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X1 @ X1) @ c3))
% 39.50/6.25 != (divide @ a3 @
% 39.50/6.25 (divide @ (divide @ b3 @ b3) @ (divide @ b3 @ (inverse @ c3)))))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl6247, zip_derived_cl6889])).
% 39.50/6.25 thf(zip_derived_cl10586, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X1 @ X1) @ c3))
% 39.50/6.25 != (divide @ a3 @
% 39.50/6.25 (divide @ (divide @ X0 @ X0) @ (divide @ b3 @ (inverse @ c3)))))),
% 39.50/6.25 inference('sup-', [status(thm)],
% 39.50/6.25 [zip_derived_cl6028, zip_derived_cl10158])).
% 39.50/6.25 thf(zip_derived_cl11031, plain,
% 39.50/6.25 (![X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X1 @ X1) @ c3))
% 39.50/6.25 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 39.50/6.25 inference('sup-', [status(thm)],
% 39.50/6.25 [zip_derived_cl6011, zip_derived_cl10586])).
% 39.50/6.25 thf(zip_derived_cl4753, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X2)
% 39.50/6.25 = (inverse @ (divide @ (inverse @ (divide @ X0 @ X2)) @ X1)))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl2801])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5889, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl5551, zip_derived_cl5854])).
% 39.50/6.25 thf(zip_derived_cl5937, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.50/6.25 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X2)
% 39.50/6.25 = (divide @ X1 @ (divide @ X2 @ X0)))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl4753, zip_derived_cl5889, zip_derived_cl5889,
% 39.50/6.25 zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl18741, plain,
% 39.50/6.25 (![X1 : $i]:
% 39.50/6.25 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 39.50/6.25 (divide @ (divide @ X1 @ X1) @ c3))
% 39.50/6.25 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 39.50/6.25 inference('demod', [status(thm)],
% 39.50/6.25 [zip_derived_cl11031, zip_derived_cl5937])).
% 39.50/6.25 thf(zip_derived_cl5947, plain,
% 39.50/6.25 (![X0 : $i, X1 : $i]:
% 39.50/6.25 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 39.50/6.25 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 39.50/6.25 thf(zip_derived_cl18742, plain, ($false),
% 39.50/6.25 inference('simplify_reflect+', [status(thm)],
% 39.50/6.25 [zip_derived_cl18741, zip_derived_cl5947])).
% 39.50/6.25
% 39.50/6.25 % SZS output end Refutation
% 39.50/6.25
% 39.50/6.25
% 39.50/6.25 % Terminating...
% 40.02/6.36 % Runner terminated.
% 40.02/6.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------