TSTP Solution File: GRP074-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f0At08jjrf 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 Aug 31 01:49:49 EDT 2023
% Result : Unsatisfiable 15.75s 2.85s
% Output : Refutation 15.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f0At08jjrf true
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 00:28:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.75/2.85 % Solved by fo/fo4.sh.
% 15.75/2.85 % done 511 iterations in 2.037s
% 15.75/2.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.75/2.85 % SZS output start Refutation
% 15.75/2.85 thf(a3_type, type, a3: $i).
% 15.75/2.85 thf(a1_type, type, a1: $i).
% 15.75/2.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 15.75/2.85 thf(inverse_type, type, inverse: $i > $i).
% 15.75/2.85 thf(c3_type, type, c3: $i).
% 15.75/2.85 thf(a2_type, type, a2: $i).
% 15.75/2.85 thf(b2_type, type, b2: $i).
% 15.75/2.85 thf(divide_type, type, divide: $i > $i > $i).
% 15.75/2.85 thf(b1_type, type, b1: $i).
% 15.75/2.85 thf(b3_type, type, b3: $i).
% 15.75/2.85 thf(single_axiom, axiom,
% 15.75/2.85 (( divide @
% 15.75/2.85 ( inverse @
% 15.75/2.85 ( divide @
% 15.75/2.85 ( divide @ ( divide @ X @ X ) @ Y ) @
% 15.75/2.85 ( divide @ Z @ ( divide @ Y @ U ) ) ) ) @
% 15.75/2.85 U ) =
% 15.75/2.85 ( Z ))).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl5, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl4, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X5 @ X5) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 15.75/2.85 (divide @ X1 @ X0))) @
% 15.75/2.85 X2) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl37, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.75/2.85 ((inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 15.75/2.85 (divide @ (divide @ X5 @ X2) @
% 15.75/2.85 (divide @ X4 @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X3 @ X3) @ X1) @
% 15.75/2.85 (divide @ X2 @ (divide @ X1 @ X0)))) @
% 15.75/2.85 X0)))))
% 15.75/2.85 = (X5))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl60, plain,
% 15.75/2.85 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.75/2.85 ((inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 15.75/2.85 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 15.75/2.85 = (X5))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl5, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl20, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 15.75/2.85 (divide @ X2 @ X0)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl112, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 15.75/2.85 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl20, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 15.75/2.85 (divide @ X2 @ X0)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl162, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 15.75/2.85 X4) @
% 15.75/2.85 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl20, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 15.75/2.85 (divide @ X2 @ X0)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl20, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 15.75/2.85 (divide @ X2 @ X0)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl94, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 15.75/2.85 X2))
% 15.75/2.85 = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl1505, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ X4 @
% 15.75/2.85 (divide @ X2 @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X3 @ X3) @ X2) @
% 15.75/2.85 (divide @ (divide @ X1 @ X1) @ X0)))))
% 15.75/2.85 = (divide @ X4 @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl94, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 15.75/2.85 X2))
% 15.75/2.85 = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl1624, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X5) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X6 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X7 @ X7) @ X6) @ X1))) @
% 15.75/2.85 X5))
% 15.75/2.85 = (divide @ X3 @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl1505, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl94, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 15.75/2.85 X2))
% 15.75/2.85 = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl1794, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((X0)
% 15.75/2.85 = (divide @ X3 @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl1624, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl1794, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((X0)
% 15.75/2.85 = (divide @ X3 @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl1624, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl4, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X5 @ X5) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 15.75/2.85 (divide @ X1 @ X0))) @
% 15.75/2.85 X2) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl1918, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X0) @
% 15.75/2.85 (divide @ X2 @ (divide @ X3 @ X3)))) @
% 15.75/2.85 X0) = (X2))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl1794, zip_derived_cl4])).
% 15.75/2.85 thf(zip_derived_cl162, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X2 @ X2) @ X0) @ (divide @ X1 @ X0))) @
% 15.75/2.85 X4) @
% 15.75/2.85 (divide @ X3 @ X4)) = (divide @ X1 @ X3))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl2188, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ X0 @ (divide @ X1 @ (divide @ X2 @ X2)))
% 15.75/2.85 = (divide @ X0 @ X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl1918, zip_derived_cl162])).
% 15.75/2.85 thf(zip_derived_cl94, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 15.75/2.85 X2))
% 15.75/2.85 = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl2705, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X1 @ X0)) @ X3) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X4 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X4) @ X1))) @
% 15.75/2.85 X3))
% 15.75/2.85 = (divide @ X0 @ (divide @ X2 @ X2)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2188, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl94, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @ (divide @ (inverse @ (divide @ X0 @ X1)) @ X2) @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X4 @ X4) @ X3) @ X0))) @
% 15.75/2.85 X2))
% 15.75/2.85 = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl2898, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl2705, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl60, plain,
% 15.75/2.85 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.75/2.85 ((inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 15.75/2.85 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 15.75/2.85 = (X5))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl3095, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2898, zip_derived_cl60])).
% 15.75/2.85 thf(zip_derived_cl3225, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((inverse @ X0)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X3 @ X3) @ (divide @ X2 @ X2)) @
% 15.75/2.85 (divide @ (divide @ X1 @ X1) @ X0))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl1794, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl2898, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl2705, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl3095, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2898, zip_derived_cl60])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl2898, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl2705, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl3287, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X1) = (inverse @ (divide @ X0 @ X0)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3238, zip_derived_cl2898])).
% 15.75/2.85 thf(prove_these_axioms, conjecture,
% 15.75/2.85 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 15.75/2.85 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 15.75/2.85 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 15.75/2.85 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 15.75/2.85 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 15.75/2.85 thf(zf_stmt_0, negated_conjecture,
% 15.75/2.85 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 15.75/2.85 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 15.75/2.85 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 15.75/2.85 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 15.75/2.85 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 15.75/2.85 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 15.75/2.85 thf(zip_derived_cl2, plain,
% 15.75/2.85 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 15.75/2.85 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 15.75/2.85 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 15.75/2.85 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.75/2.85 thf(multiply, axiom,
% 15.75/2.85 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl1, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 15.75/2.85 inference('cnf', [status(esa)], [multiply])).
% 15.75/2.85 thf(zip_derived_cl3, plain,
% 15.75/2.85 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 15.75/2.85 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 15.75/2.85 (inverse @ a2)) != (a2))
% 15.75/2.85 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 15.75/2.85 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 15.75/2.85 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 15.75/2.85 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3252, plain,
% 15.75/2.85 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 15.75/2.85 | ((inverse @ (inverse @ a2)) != (a2))
% 15.75/2.85 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 15.75/2.85 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3095, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2898, zip_derived_cl60])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3269, plain,
% 15.75/2.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3095, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3324, plain,
% 15.75/2.85 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 15.75/2.85 | ((a2) != (a2))
% 15.75/2.85 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 15.75/2.85 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3252, zip_derived_cl3269])).
% 15.75/2.85 thf(zip_derived_cl3325, plain,
% 15.75/2.85 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 15.75/2.85 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 15.75/2.85 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 15.75/2.85 inference('simplify', [status(thm)], [zip_derived_cl3324])).
% 15.75/2.85 thf(zip_derived_cl3365, plain,
% 15.75/2.85 (![X0 : $i]:
% 15.75/2.85 (((inverse @ (divide @ X0 @ X0))
% 15.75/2.85 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 15.75/2.85 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 15.75/2.85 inference('sup-', [status(thm)], [zip_derived_cl3287, zip_derived_cl3325])).
% 15.75/2.85 thf(zip_derived_cl3287, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X1) = (inverse @ (divide @ X0 @ X0)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3238, zip_derived_cl2898])).
% 15.75/2.85 thf(zip_derived_cl3383, plain,
% 15.75/2.85 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 15.75/2.85 inference('simplify_reflect+', [status(thm)],
% 15.75/2.85 [zip_derived_cl3365, zip_derived_cl3287])).
% 15.75/2.85 thf(zip_derived_cl3287, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X1) = (inverse @ (divide @ X0 @ X0)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3238, zip_derived_cl2898])).
% 15.75/2.85 thf(zip_derived_cl3287, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X1) = (inverse @ (divide @ X0 @ X0)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3238, zip_derived_cl2898])).
% 15.75/2.85 thf(zip_derived_cl3331, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]: ((divide @ X1 @ X1) = (divide @ X0 @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3287, zip_derived_cl3287])).
% 15.75/2.85 thf(zip_derived_cl112, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 15.75/2.85 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl20, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X3 @ X3) @ X2) @ X1)) @ X0) @
% 15.75/2.85 (divide @ X2 @ X0)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl156, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) @ X3)) @
% 15.75/2.85 X4) @
% 15.75/2.85 (divide @ (divide @ X1 @ X2) @ X4)) = (X3))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl3399, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X3 @ X4) @ (divide @ X3 @ X4)) @ X1)) @
% 15.75/2.85 X2) @
% 15.75/2.85 (divide @ (divide @ X0 @ X0) @ X2)) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3331, zip_derived_cl156])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3269, plain,
% 15.75/2.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3095, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3467, plain,
% 15.75/2.85 (![X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X1 @ X2) @ (inverse @ X2)) = (X1))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3399, zip_derived_cl3238, zip_derived_cl3269,
% 15.75/2.85 zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3269, plain,
% 15.75/2.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3095, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl1794, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((X0)
% 15.75/2.85 = (divide @ X3 @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ (divide @ X2 @ X2) @ X0)))))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl1624, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3267, plain,
% 15.75/2.85 (![X0 : $i, X3 : $i]:
% 15.75/2.85 ((X0)
% 15.75/2.85 = (divide @ X3 @
% 15.75/2.85 (inverse @ (divide @ (inverse @ X3) @ (inverse @ X0)))))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl1794, zip_derived_cl3238, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3331, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]: ((divide @ X1 @ X1) = (divide @ X0 @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3287, zip_derived_cl3287])).
% 15.75/2.85 thf(zip_derived_cl112, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 15.75/2.85 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl0, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X1 @ X1) @ X2) @
% 15.75/2.85 (divide @ X0 @ (divide @ X2 @ X3)))) @
% 15.75/2.85 X3) = (X0))),
% 15.75/2.85 inference('cnf', [status(esa)], [single_axiom])).
% 15.75/2.85 thf(zip_derived_cl152, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X2 @ X0) @ (divide @ X1 @ X0)) @
% 15.75/2.85 (divide @ X3 @ (divide @ (divide @ X1 @ X2) @ X4)))) @
% 15.75/2.85 X4) = (X3))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl3398, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X3 @ X4) @ (divide @ X3 @ X4)) @
% 15.75/2.85 (divide @ X1 @ (divide @ (divide @ X0 @ X0) @ X2)))) @
% 15.75/2.85 X2) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3331, zip_derived_cl152])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl3269, plain,
% 15.75/2.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3095, zip_derived_cl3238])).
% 15.75/2.85 thf(zip_derived_cl3466, plain,
% 15.75/2.85 (![X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3398, zip_derived_cl3238, zip_derived_cl3238,
% 15.75/2.85 zip_derived_cl3269])).
% 15.75/2.85 thf(zip_derived_cl4852, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X0 @ (divide @ (inverse @ X1) @ (inverse @ X0))) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3267, zip_derived_cl3466])).
% 15.75/2.85 thf(zip_derived_cl4986, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ (divide @ X0 @ (inverse @ X1))) = (inverse @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3269, zip_derived_cl4852])).
% 15.75/2.85 thf(zip_derived_cl5064, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3467, zip_derived_cl4986])).
% 15.75/2.85 thf(zip_derived_cl5107, plain,
% 15.75/2.85 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 15.75/2.85 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3383, zip_derived_cl5064])).
% 15.75/2.85 thf(zip_derived_cl60, plain,
% 15.75/2.85 (![X2 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.75/2.85 ((inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X6 @ X6) @ X4) @
% 15.75/2.85 (divide @ (divide @ X5 @ X2) @ (divide @ X4 @ X2))))
% 15.75/2.85 = (X5))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl4, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X5 @ X5) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 15.75/2.85 (divide @ X1 @ X0))) @
% 15.75/2.85 X2) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl4, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X5 @ X5) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ X2))))) @
% 15.75/2.85 (divide @ X1 @ X0))) @
% 15.75/2.85 X2) = (X1))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl9, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 15.75/2.85 X7 : $i, X8 : $i, X9 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X9 @ X9) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X8 @ X8) @ X7) @
% 15.75/2.85 (divide @ X2 @ (divide @ X7 @ X6))))) @
% 15.75/2.85 X0)) @
% 15.75/2.85 X6)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X5 @ X5) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X1 @ (divide @ X3 @ X2))))) @
% 15.75/2.85 (divide @ X0 @ X1))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 15.75/2.85 thf(zip_derived_cl607, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X9 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X9 @ X9) @ X0) @ X2)) @ X3)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X6 @ X6) @
% 15.75/2.85 (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X5 @ X5) @ X4) @
% 15.75/2.85 (divide @ X1 @ (divide @ X4 @ (divide @ X0 @ X3)))))) @
% 15.75/2.85 (divide @ X2 @ X1))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl9])).
% 15.75/2.85 thf(zip_derived_cl5, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X2) @ X0)) @ X1)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @ (divide @ (divide @ X4 @ X4) @ X3) @
% 15.75/2.85 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 15.75/2.85 thf(zip_derived_cl691, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i, X6 : $i, X9 : $i]:
% 15.75/2.85 ((divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X9 @ X9) @ X0) @ X2)) @ X3)
% 15.75/2.85 = (inverse @
% 15.75/2.85 (divide @
% 15.75/2.85 (divide @ (divide @ X6 @ X6) @
% 15.75/2.85 (divide @
% 15.75/2.85 (inverse @ (divide @ (divide @ (divide @ X5 @ X5) @ X0) @ X1)) @
% 15.75/2.85 X3)) @
% 15.75/2.85 (divide @ X2 @ X1))))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl5])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl5064, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3467, zip_derived_cl4986])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl5064, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3467, zip_derived_cl4986])).
% 15.75/2.85 thf(zip_derived_cl3238, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((inverse @ X0) = (divide @ (divide @ X1 @ X1) @ X0))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3225, zip_derived_cl2898, zip_derived_cl3095])).
% 15.75/2.85 thf(zip_derived_cl5064, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3467, zip_derived_cl4986])).
% 15.75/2.85 thf(zip_derived_cl3466, plain,
% 15.75/2.85 (![X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X1 @ (inverse @ X2)) @ X2) = (X1))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl3398, zip_derived_cl3238, zip_derived_cl3238,
% 15.75/2.85 zip_derived_cl3269])).
% 15.75/2.85 thf(zip_derived_cl2898, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i]: ((X0) = (divide @ X0 @ (divide @ X2 @ X2)))),
% 15.75/2.85 inference('demod', [status(thm)], [zip_derived_cl2705, zip_derived_cl94])).
% 15.75/2.85 thf(zip_derived_cl112, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @ (divide @ X0 @ X3) @ (divide @ X2 @ X3))
% 15.75/2.85 = (divide @ (divide @ X0 @ X1) @ (divide @ X2 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl20])).
% 15.75/2.85 thf(zip_derived_cl3079, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))
% 15.75/2.85 = (divide @ X1 @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2898, zip_derived_cl112])).
% 15.75/2.85 thf(zip_derived_cl5587, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X2 @ X1) @ X0)
% 15.75/2.85 = (divide @ X2 @ (divide @ X0 @ (inverse @ X1))))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3466, zip_derived_cl3079])).
% 15.75/2.85 thf(zip_derived_cl3079, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.75/2.85 ((divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))
% 15.75/2.85 = (divide @ X1 @ X0))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl2898, zip_derived_cl112])).
% 15.75/2.85 thf(zip_derived_cl5064, plain,
% 15.75/2.85 (![X0 : $i, X1 : $i]:
% 15.75/2.85 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 15.75/2.85 inference('sup+', [status(thm)], [zip_derived_cl3467, zip_derived_cl4986])).
% 15.75/2.85 thf(zip_derived_cl6741, plain,
% 15.75/2.85 (![X0 : $i, X2 : $i, X3 : $i]:
% 15.75/2.85 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X3)
% 15.75/2.85 = (divide @ X2 @ (divide @ X3 @ X0)))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl691, zip_derived_cl3238, zip_derived_cl5064,
% 15.75/2.85 zip_derived_cl3238, zip_derived_cl5064, zip_derived_cl3238,
% 15.75/2.85 zip_derived_cl5064, zip_derived_cl5587, zip_derived_cl3079,
% 15.75/2.85 zip_derived_cl5064])).
% 15.75/2.85 thf(zip_derived_cl6742, plain,
% 15.75/2.85 (((divide @ a3 @ (divide @ (inverse @ c3) @ b3))
% 15.75/2.85 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 15.75/2.85 inference('demod', [status(thm)],
% 15.75/2.85 [zip_derived_cl5107, zip_derived_cl6741])).
% 15.75/2.85 thf(zip_derived_cl6743, plain, ($false),
% 15.75/2.85 inference('simplify', [status(thm)], [zip_derived_cl6742])).
% 15.75/2.85
% 15.75/2.85 % SZS output end Refutation
% 15.75/2.85
% 15.75/2.85
% 15.75/2.85 % Terminating...
% 16.32/2.96 % Runner terminated.
% 16.32/2.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------