TSTP Solution File: GRP071-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP071-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9jkGjPKnGT true
% Computer : n023.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 01:49:48 EDT 2023
% Result : Unsatisfiable 21.82s 3.68s
% Output : Refutation 21.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP071-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9jkGjPKnGT true
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 23:19:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 21.82/3.68 % Solved by fo/fo7.sh.
% 21.82/3.68 % done 1391 iterations in 2.938s
% 21.82/3.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.82/3.68 % SZS output start Refutation
% 21.82/3.68 thf(a3_type, type, a3: $i).
% 21.82/3.68 thf(a1_type, type, a1: $i).
% 21.82/3.68 thf(multiply_type, type, multiply: $i > $i > $i).
% 21.82/3.68 thf(inverse_type, type, inverse: $i > $i).
% 21.82/3.68 thf(c3_type, type, c3: $i).
% 21.82/3.68 thf(a2_type, type, a2: $i).
% 21.82/3.68 thf(b2_type, type, b2: $i).
% 21.82/3.68 thf(divide_type, type, divide: $i > $i > $i).
% 21.82/3.68 thf(b1_type, type, b1: $i).
% 21.82/3.68 thf(b3_type, type, b3: $i).
% 21.82/3.68 thf(single_axiom, axiom,
% 21.82/3.68 (( divide @
% 21.82/3.68 ( inverse @ ( divide @ X @ ( divide @ Y @ ( divide @ Z @ U ) ) ) ) @
% 21.82/3.68 ( divide @ ( divide @ U @ Z ) @ X ) ) =
% 21.82/3.68 ( Y ))).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl6, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ X4 @ X0)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X1 @ X2)) @ X4))
% 21.82/3.68 = (inverse @ (divide @ X3 @ (divide @ X0 @ (divide @ X2 @ X1)))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl87, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl87, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl193, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ X2 @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X6 @ X0)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X5 @ X4)) @ X6)) @
% 21.82/3.68 (divide @ (divide @ X5 @ X4) @ X3))) @
% 21.82/3.68 X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl87, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X0 @ X4)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X2 @ X1)) @ X0)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X1) @ X3)) = (X4))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl7, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl260, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X3) @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ X4) @
% 21.82/3.68 (inverse @ (divide @ X4 @ X0))) @
% 21.82/3.68 (inverse @ X0)))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl7])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl2119, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ X0) @
% 21.82/3.68 (divide @ (inverse @ (divide @ X3 @ X4)) @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (divide @ (inverse @ X4) @ X2)) @
% 21.82/3.68 X3)))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl217])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl256, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @
% 21.82/3.68 (divide @ X1 @
% 21.82/3.68 (divide @ (divide @ (divide @ X2 @ X3) @ X4) @
% 21.82/3.68 (inverse @ (divide @ X4 @ X0)))))) @
% 21.82/3.68 X0) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl2801, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @ X2)
% 21.82/3.68 = (inverse @
% 21.82/3.68 (divide @
% 21.82/3.68 (inverse @ (divide @ (divide @ (inverse @ X1) @ X0) @ X2)) @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2119, zip_derived_cl256])).
% 21.82/3.68 thf(zip_derived_cl2980, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 21.82/3.68 (divide @ X3 @ X2))
% 21.82/3.68 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2801])).
% 21.82/3.68 thf(zip_derived_cl2980, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 21.82/3.68 (divide @ X3 @ X2))
% 21.82/3.68 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2801])).
% 21.82/3.68 thf(zip_derived_cl3553, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 21.82/3.68 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl7, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl7, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl21, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X5) @
% 21.82/3.68 (divide @ (divide @ X6 @ X7) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X7 @ X6) @ (divide @ X5 @ (divide @ X1 @ X0))))))
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @
% 21.82/3.68 (divide @ X2 @ (divide @ X0 @ X1))))) @
% 21.82/3.68 (inverse @ X2)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl7])).
% 21.82/3.68 thf(zip_derived_cl7, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @ (divide @ X0 @ (divide @ X1 @ X2))))))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl27, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ X0 @ X1)
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @
% 21.82/3.68 (divide @ X2 @ (divide @ X0 @ X1))))) @
% 21.82/3.68 (inverse @ X2)))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 21.82/3.68 thf(zip_derived_cl42, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X2 @ (divide @ X0 @ (divide @ X3 @ X4)))) @
% 21.82/3.68 (divide @ (divide @ X4 @ X3) @ X2))
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X5 @ X6) @
% 21.82/3.68 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl27])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl51, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 21.82/3.68 ((X0)
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X5 @ X6) @
% 21.82/3.68 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl261, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((X2)
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ (divide @ (divide @ X2 @ X1) @ X3) @
% 21.82/3.68 (inverse @ (divide @ X3 @ X0))) @
% 21.82/3.68 (inverse @ X0)) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl51])).
% 21.82/3.68 thf(zip_derived_cl260, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X3) @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ (divide @ (divide @ (divide @ X1 @ X2) @ X3) @ X4) @
% 21.82/3.68 (inverse @ (divide @ X4 @ X0))) @
% 21.82/3.68 (inverse @ X0)))
% 21.82/3.68 = (divide @ X2 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl7])).
% 21.82/3.68 thf(zip_derived_cl2130, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (inverse @ (divide @ X3 @ X2))) @
% 21.82/3.68 (divide @ X0 @ (inverse @ X1)))
% 21.82/3.68 = (divide @ X3 @ (divide @ X0 @ (divide @ (inverse @ X2) @ X1))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl260])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl2283, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (inverse @ (inverse @ (divide @ X3 @ X2))) @
% 21.82/3.68 (divide @ X1 @ (inverse @ X0)))) @
% 21.82/3.68 (divide @ (divide @ X0 @ (inverse @ X2)) @ X3)) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2130, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl3727, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 21.82/3.68 (divide @ (divide @ (divide @ X2 @ X3) @ (inverse @ X3)) @ X2))
% 21.82/3.68 = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl2283])).
% 21.82/3.68 thf(zip_derived_cl217, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X7 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (divide @ (inverse @ (divide @ X7 @ X1)) @
% 21.82/3.68 (divide @ (divide @ X2 @ X0) @ X7)) @
% 21.82/3.68 (divide @ X0 @ X2)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl87])).
% 21.82/3.68 thf(zip_derived_cl4370, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X0 @
% 21.82/3.68 (divide @ (inverse @ X2) @ (divide @ (inverse @ X1) @ X2)))
% 21.82/3.68 = (divide @ X0 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl3727, zip_derived_cl217])).
% 21.82/3.68 thf(zip_derived_cl51, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 21.82/3.68 ((X0)
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X5 @ X6) @
% 21.82/3.68 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl4520, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2))
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X3 @ X4) @
% 21.82/3.68 (inverse @ (divide @ (divide @ X4 @ X3) @ (divide @ X1 @ X0)))) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4370, zip_derived_cl51])).
% 21.82/3.68 thf(zip_derived_cl51, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 21.82/3.68 ((X0)
% 21.82/3.68 = (divide @
% 21.82/3.68 (divide @ (divide @ X5 @ X6) @
% 21.82/3.68 (inverse @ (divide @ (divide @ X6 @ X5) @ (divide @ X1 @ X0)))) @
% 21.82/3.68 (inverse @ X1)))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl4654, plain,
% 21.82/3.68 (![X0 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 21.82/3.68 thf(zip_derived_cl4654, plain,
% 21.82/3.68 (![X0 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 21.82/3.68 thf(zip_derived_cl4753, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X0) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl4654])).
% 21.82/3.68 thf(zip_derived_cl3553, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 21.82/3.68 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl3724, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 21.82/3.68 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X2))))
% 21.82/3.68 = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl4906, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4753, zip_derived_cl3724])).
% 21.82/3.68 thf(zip_derived_cl3553, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 21.82/3.68 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2980, zip_derived_cl2980])).
% 21.82/3.68 thf(zip_derived_cl6, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ X4 @ X0)) @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ X1 @ X2)) @ X4))
% 21.82/3.68 = (inverse @ (divide @ X3 @ (divide @ X0 @ (divide @ X2 @ X1)))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl0, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @ (divide @ X1 @ (divide @ X0 @ (divide @ X2 @ X3)))) @
% 21.82/3.68 (divide @ (divide @ X3 @ X2) @ X1)) = (X0))),
% 21.82/3.68 inference('cnf', [status(esa)], [single_axiom])).
% 21.82/3.68 thf(zip_derived_cl108, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((inverse @
% 21.82/3.68 (divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X3 @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 21.82/3.68 (divide @ X1 @ X0))))
% 21.82/3.68 = (X3))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.82/3.68 thf(zip_derived_cl3726, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((inverse @
% 21.82/3.68 (divide @ (inverse @ X0) @
% 21.82/3.68 (divide @
% 21.82/3.68 (divide @ X3 @
% 21.82/3.68 (divide @ (divide @ X1 @ X2) @ (inverse @ (divide @ X2 @ X1)))) @
% 21.82/3.68 X0)))
% 21.82/3.68 = (X3))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl3553, zip_derived_cl108])).
% 21.82/3.68 thf(zip_derived_cl4906, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4753, zip_derived_cl3724])).
% 21.82/3.68 thf(zip_derived_cl5110, plain,
% 21.82/3.68 (![X0 : $i, X3 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl3726, zip_derived_cl4906])).
% 21.82/3.68 thf(zip_derived_cl5425, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (inverse @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (divide @ X0 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4906, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl4906, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4753, zip_derived_cl3724])).
% 21.82/3.68 thf(zip_derived_cl4654, plain,
% 21.82/3.68 (![X0 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X2) @ (divide @ (inverse @ X0) @ X2)) = (X0))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl4520, zip_derived_cl51])).
% 21.82/3.68 thf(zip_derived_cl2801, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ X0) @ X2)
% 21.82/3.68 = (inverse @
% 21.82/3.68 (divide @
% 21.82/3.68 (inverse @ (divide @ (divide @ (inverse @ X1) @ X0) @ X2)) @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl2119, zip_derived_cl256])).
% 21.82/3.68 thf(zip_derived_cl4754, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X2)
% 21.82/3.68 = (inverse @ (divide @ (inverse @ (divide @ X0 @ X2)) @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl2801])).
% 21.82/3.68 thf(zip_derived_cl5233, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.82/3.68 ((divide @
% 21.82/3.68 (inverse @
% 21.82/3.68 (divide @ (inverse @ X1) @
% 21.82/3.68 (divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X2))))) @
% 21.82/3.68 X0) = (inverse @ (inverse @ (divide @ X1 @ X0))))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4906, zip_derived_cl4754])).
% 21.82/3.68 thf(zip_derived_cl4906, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4753, zip_derived_cl3724])).
% 21.82/3.68 thf(zip_derived_cl5362, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (inverse @ X1)) @ X0)
% 21.82/3.68 = (inverse @ (inverse @ (divide @ X1 @ X0))))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5233, zip_derived_cl4906])).
% 21.82/3.68 thf(zip_derived_cl5551, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ (inverse @ X1)) @ X0))
% 21.82/3.68 = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5425, zip_derived_cl5362])).
% 21.82/3.68 thf(zip_derived_cl4753, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X0) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl4654])).
% 21.82/3.68 thf(zip_derived_cl5591, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4753])).
% 21.82/3.68 thf(zip_derived_cl4906, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X2 @
% 21.82/3.68 (divide @ (divide @ X0 @ X1) @ (inverse @ (divide @ X1 @ X0))))
% 21.82/3.68 = (X2))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4753, zip_derived_cl3724])).
% 21.82/3.68 thf(zip_derived_cl5659, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ X1 @
% 21.82/3.68 (divide @ X0 @
% 21.82/3.68 (inverse @ (divide @ (inverse @ X2) @ (divide @ X0 @ X2)))))
% 21.82/3.68 = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5591, zip_derived_cl4906])).
% 21.82/3.68 thf(zip_derived_cl5110, plain,
% 21.82/3.68 (![X0 : $i, X3 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl3726, zip_derived_cl4906])).
% 21.82/3.68 thf(zip_derived_cl5739, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5659, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl5551, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ (inverse @ X1)) @ X0))
% 21.82/3.68 = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5425, zip_derived_cl5362])).
% 21.82/3.68 thf(zip_derived_cl5739, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5659, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl5110, plain,
% 21.82/3.68 (![X0 : $i, X3 : $i]:
% 21.82/3.68 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X3 @ X0))) = (X3))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl3726, zip_derived_cl4906])).
% 21.82/3.68 thf(zip_derived_cl5854, plain,
% 21.82/3.68 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl5889, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5551, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl5947, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 21.82/3.68 thf(zip_derived_cl5854, plain,
% 21.82/3.68 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl5591, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5551, zip_derived_cl4753])).
% 21.82/3.68 thf(zip_derived_cl5902, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5854, zip_derived_cl5591])).
% 21.82/3.68 thf(zip_derived_cl5997, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (inverse @ X0)) @ X0) = (divide @ X1 @ X1))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5947, zip_derived_cl5902])).
% 21.82/3.68 thf(zip_derived_cl5854, plain,
% 21.82/3.68 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl6030, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5997, zip_derived_cl5854])).
% 21.82/3.68 thf(prove_these_axioms, conjecture,
% 21.82/3.68 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 21.82/3.68 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 21.82/3.68 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 21.82/3.68 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 21.82/3.68 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 21.82/3.68 thf(zf_stmt_0, negated_conjecture,
% 21.82/3.68 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 21.82/3.68 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 21.82/3.68 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 21.82/3.68 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 21.82/3.68 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 21.82/3.68 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 21.82/3.68 thf(zip_derived_cl2, plain,
% 21.82/3.68 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 21.82/3.68 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 21.82/3.68 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 21.82/3.68 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.82/3.68 thf(multiply, axiom,
% 21.82/3.68 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl1, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 21.82/3.68 inference('cnf', [status(esa)], [multiply])).
% 21.82/3.68 thf(zip_derived_cl3, plain,
% 21.82/3.68 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 21.82/3.68 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 21.82/3.68 (inverse @ a2)) != (a2))
% 21.82/3.68 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 21.82/3.68 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 21.82/3.68 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 21.82/3.68 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 21.82/3.68 thf(zip_derived_cl5889, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5551, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl5919, plain,
% 21.82/3.68 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 21.82/3.68 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 21.82/3.68 (inverse @ a2)) != (a2))
% 21.82/3.68 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 21.82/3.68 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 21.82/3.68 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl5889])).
% 21.82/3.68 thf(zip_derived_cl6058, plain,
% 21.82/3.68 (![X0 : $i]:
% 21.82/3.68 (((divide @ (divide @ X0 @ X0) @ (inverse @ a2)) != (a2))
% 21.82/3.68 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 21.82/3.68 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 21.82/3.68 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 21.82/3.68 inference('sup-', [status(thm)], [zip_derived_cl6030, zip_derived_cl5919])).
% 21.82/3.68 thf(zip_derived_cl6030, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5997, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl6094, plain,
% 21.82/3.68 (![X0 : $i]:
% 21.82/3.68 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 21.82/3.68 | ((divide @ (divide @ X0 @ X0) @ (inverse @ a2)) != (a2)))),
% 21.82/3.68 inference('simplify_reflect+', [status(thm)],
% 21.82/3.68 [zip_derived_cl6058, zip_derived_cl6030])).
% 21.82/3.68 thf(zip_derived_cl5947, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5889])).
% 21.82/3.68 thf(zip_derived_cl5854, plain,
% 21.82/3.68 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5739, zip_derived_cl5110])).
% 21.82/3.68 thf(zip_derived_cl6014, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl5947, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl6214, plain,
% 21.82/3.68 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 21.82/3.68 | ((a2) != (a2)))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl6094, zip_derived_cl6014])).
% 21.82/3.68 thf(zip_derived_cl6215, plain,
% 21.82/3.68 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 21.82/3.68 inference('simplify', [status(thm)], [zip_derived_cl6214])).
% 21.82/3.68 thf(zip_derived_cl4754, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (inverse @ (divide @ (inverse @ X0) @ X1)) @ X2)
% 21.82/3.68 = (inverse @ (divide @ (inverse @ (divide @ X0 @ X2)) @ X1)))),
% 21.82/3.68 inference('sup+', [status(thm)], [zip_derived_cl4654, zip_derived_cl2801])).
% 21.82/3.68 thf(zip_derived_cl5889, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5551, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl5889, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5551, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl5889, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i]:
% 21.82/3.68 ((inverse @ (divide @ X1 @ X0)) = (divide @ X0 @ X1))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl5551, zip_derived_cl5854])).
% 21.82/3.68 thf(zip_derived_cl5938, plain,
% 21.82/3.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.82/3.68 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X2)
% 21.82/3.68 = (divide @ X1 @ (divide @ X2 @ X0)))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl4754, zip_derived_cl5889, zip_derived_cl5889,
% 21.82/3.68 zip_derived_cl5889])).
% 21.82/3.68 thf(zip_derived_cl12320, plain,
% 21.82/3.68 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 21.82/3.68 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 21.82/3.68 inference('demod', [status(thm)],
% 21.82/3.68 [zip_derived_cl6215, zip_derived_cl5938])).
% 21.82/3.68 thf(zip_derived_cl12321, plain, ($false),
% 21.82/3.68 inference('simplify', [status(thm)], [zip_derived_cl12320])).
% 21.82/3.68
% 21.82/3.68 % SZS output end Refutation
% 21.82/3.68
% 21.82/3.68
% 21.82/3.68 % Terminating...
% 21.82/3.73 % Runner terminated.
% 21.82/3.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------