TSTP Solution File: GRP072-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP072-1 : 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.wMs5bVsrgQ true
% Computer : n028.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 159.98s 24.60s
% Output : Refutation 159.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP072-1 : 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.wMs5bVsrgQ true
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:30:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.49/0.65 % Total configuration time : 435
% 0.49/0.65 % Estimated wc time : 1092
% 0.49/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 159.98/24.60 % Solved by fo/fo7.sh.
% 159.98/24.60 % done 4607 iterations in 23.816s
% 159.98/24.60 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 159.98/24.60 % SZS output start Refutation
% 159.98/24.60 thf(a3_type, type, a3: $i).
% 159.98/24.60 thf(a1_type, type, a1: $i).
% 159.98/24.60 thf(multiply_type, type, multiply: $i > $i > $i).
% 159.98/24.60 thf(inverse_type, type, inverse: $i > $i).
% 159.98/24.60 thf(c3_type, type, c3: $i).
% 159.98/24.60 thf(a2_type, type, a2: $i).
% 159.98/24.60 thf(b2_type, type, b2: $i).
% 159.98/24.60 thf(divide_type, type, divide: $i > $i > $i).
% 159.98/24.60 thf(b1_type, type, b1: $i).
% 159.98/24.60 thf(b3_type, type, b3: $i).
% 159.98/24.60 thf(single_axiom, axiom,
% 159.98/24.60 (( divide @
% 159.98/24.60 ( divide @
% 159.98/24.60 ( inverse @ ( divide @ X @ Y ) ) @ ( divide @ ( divide @ Z @ U ) @ X ) ) @
% 159.98/24.60 ( divide @ U @ Z ) ) =
% 159.98/24.60 ( Y ))).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl7, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 159.98/24.60 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 159.98/24.60 (inverse @ (divide @ X2 @ X0))))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl4, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ X0) @
% 159.98/24.60 (divide @ (divide @ X3 @ X4) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 159.98/24.60 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl4, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ X0) @
% 159.98/24.60 (divide @ (divide @ X3 @ X4) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 159.98/24.60 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl56, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 159.98/24.60 X7 : $i, X8 : $i, X9 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ X9) @
% 159.98/24.60 (divide @ (divide @ X6 @ X7) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X8 @ X9)) @
% 159.98/24.60 (divide @ (divide @ X1 @ X0) @ X8)))) @
% 159.98/24.60 (divide @ X7 @ X6))
% 159.98/24.60 = (divide @ (divide @ X4 @ X5) @
% 159.98/24.60 (divide @ (inverse @ X3) @
% 159.98/24.60 (divide @ (divide @ X5 @ X4) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 159.98/24.60 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 159.98/24.60 thf(zip_derived_cl4, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ X0) @
% 159.98/24.60 (divide @ (divide @ X3 @ X4) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 159.98/24.60 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl63, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ X0 @ X1)
% 159.98/24.60 = (divide @ (divide @ X4 @ X5) @
% 159.98/24.60 (divide @ (inverse @ X3) @
% 159.98/24.60 (divide @ (divide @ X5 @ X4) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 159.98/24.60 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl4])).
% 159.98/24.60 thf(zip_derived_cl91, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 159.98/24.60 X7 : $i, X8 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ (divide @ X4 @ X5) @ X0)) @ X2) @
% 159.98/24.60 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 159.98/24.60 (inverse @ (divide @ X3 @ X2))))
% 159.98/24.60 = (divide @ (divide @ X7 @ X8) @
% 159.98/24.60 (divide @ (inverse @ X6) @
% 159.98/24.60 (divide @ (divide @ X8 @ X7) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl63])).
% 159.98/24.60 thf(zip_derived_cl7, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 159.98/24.60 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 159.98/24.60 (inverse @ (divide @ X2 @ X0))))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl107, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 159.98/24.60 ((X0)
% 159.98/24.60 = (divide @ (divide @ X7 @ X8) @
% 159.98/24.60 (divide @ (inverse @ X6) @
% 159.98/24.60 (divide @ (divide @ X8 @ X7) @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 159.98/24.60 thf(zip_derived_cl142, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X0))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 159.98/24.60 thf(zip_derived_cl142, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X0))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 159.98/24.60 thf(zip_derived_cl183, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @ X0 @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 159.98/24.60 (divide @ (inverse @ X2) @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl183, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @ X0 @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 159.98/24.60 (divide @ (inverse @ X2) @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl142, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X0))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 159.98/24.60 thf(zip_derived_cl231, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X4)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 159.98/24.60 (divide @ (inverse @ X0) @ X2)) @
% 159.98/24.60 X1) @
% 159.98/24.60 (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl448, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X3)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X3 @ (divide @ (inverse @ X0) @ X2)) @ X1) @
% 159.98/24.60 (inverse @ (divide @ X1 @ X0))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X2))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl231])).
% 159.98/24.60 thf(zip_derived_cl231, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X4)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 159.98/24.60 (divide @ (inverse @ X0) @ X2)) @
% 159.98/24.60 X1) @
% 159.98/24.60 (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl683, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X0 @ (divide @ (inverse @ X3) @ X2))
% 159.98/24.60 = (divide @ X0 @
% 159.98/24.60 (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X1) @ X3) @ X2)) @ X1))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl231])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl746, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ X2 @ (divide @ (inverse @ X1) @ X0))) @
% 159.98/24.60 (divide @ (divide @ X4 @ X5) @ X2)) @
% 159.98/24.60 (divide @ X5 @ X4))
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl883, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2))
% 159.98/24.60 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl883, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2))
% 159.98/24.60 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl967, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 159.98/24.60 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl883])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl1041, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 159.98/24.60 (divide @ (divide @ X3 @ X4) @ (inverse @ X2))) @
% 159.98/24.60 (divide @ X4 @ X3)) = (divide @ X1 @ X2))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl7, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 159.98/24.60 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 159.98/24.60 (inverse @ (divide @ X2 @ X0))))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl862, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (divide @ (inverse @ X1) @ X0) @
% 159.98/24.60 (divide @ (divide @ X3 @ X4) @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X2) @ X1) @ X0)))) @
% 159.98/24.60 (divide @ X4 @ X3)) = (X2))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl5355, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X0 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 159.98/24.60 thf(zip_derived_cl5634, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 159.98/24.60 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl5634, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 159.98/24.60 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl5355, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X0 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl6182, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X0) @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X4) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6401, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6182, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl5355, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X0 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 159.98/24.60 thf(zip_derived_cl6421, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ X4 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl6401, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl5355, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X0 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 159.98/24.60 (divide @ X3 @ X2)))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 159.98/24.60 thf(zip_derived_cl6545, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6421, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6665, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ X1 @ X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @ X2))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl6545])).
% 159.98/24.60 thf(zip_derived_cl142, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X0))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 159.98/24.60 thf(zip_derived_cl7633, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5)))
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X1 @ X0) @ (inverse @ (divide @ X0 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X2))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X2)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl6665, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl142, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 159.98/24.60 X4) @
% 159.98/24.60 (inverse @ (divide @ X4 @ X0))) @
% 159.98/24.60 (divide @ (inverse @ X3) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl183, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @ X0 @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 159.98/24.60 (divide @ (inverse @ X2) @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl183, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 159.98/24.60 = (divide @
% 159.98/24.60 (divide @ X0 @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 159.98/24.60 (divide @ (inverse @ X2) @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl230, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl887, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @
% 159.98/24.60 (divide @ (divide @ (inverse @ X2) @ X1) @
% 159.98/24.60 (inverse @ (divide @ X1 @ X0)))) @
% 159.98/24.60 X2)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl1376, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ (divide @ X2 @ X0)))
% 159.98/24.60 = (divide @ (inverse @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl887, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl6088, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X4) @
% 159.98/24.60 (inverse @
% 159.98/24.60 (divide @ X4 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X3) @ (divide @ (divide @ X1 @ X2) @ X3)) @
% 159.98/24.60 (divide @ X2 @ X1)))))
% 159.98/24.60 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl1376])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6373, plain,
% 159.98/24.60 (![X0 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 159.98/24.60 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6088, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl6545, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6421, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6545, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6421, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6646, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X1) = (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl6545, zip_derived_cl6545])).
% 159.98/24.60 thf(zip_derived_cl6940, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X1)
% 159.98/24.60 = (divide @ (inverse @ (inverse @ X1)) @
% 159.98/24.60 (divide @ (inverse @ X0) @ (inverse @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl6373, zip_derived_cl6646])).
% 159.98/24.60 thf(zip_derived_cl7926, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((X2)
% 159.98/24.60 = (divide @ (inverse @ (inverse @ X2)) @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7857, zip_derived_cl6940])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl8066, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]:
% 159.98/24.60 ((X2) = (divide @ (inverse @ (inverse @ X2)) @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl7926, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl6373, plain,
% 159.98/24.60 (![X0 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 159.98/24.60 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6088, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl7921, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ X2))
% 159.98/24.60 = (divide @
% 159.98/24.60 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl7857, zip_derived_cl6373])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl8062, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl7921, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl8310, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @
% 159.98/24.60 (divide @ (inverse @ X1) @
% 159.98/24.60 (divide @ (inverse @ X0) @ (inverse @ X0))))
% 159.98/24.60 = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl8062, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl8062, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl7921, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl8541, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X0))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8310, zip_derived_cl8062])).
% 159.98/24.60 thf(zip_derived_cl8990, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((inverse @
% 159.98/24.60 (divide @ (inverse @ X3) @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X2) @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 159.98/24.60 (divide @ X1 @ X0))))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl8541])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl8999, plain,
% 159.98/24.60 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8990, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl8062, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl7921, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl8062, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl7921, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl8457, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl8062, zip_derived_cl8062])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl0, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @
% 159.98/24.60 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 159.98/24.60 (divide @ (divide @ X2 @ X3) @ X1)) @
% 159.98/24.60 (divide @ X3 @ X2)) = (X0))),
% 159.98/24.60 inference('cnf', [status(esa)], [single_axiom])).
% 159.98/24.60 thf(zip_derived_cl9182, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ (inverse @ (divide @ X0 @ X2)) @
% 159.98/24.60 (divide @ (divide @ X1 @ X1) @ X0)) = (X2))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl9039, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl13348, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl9182, zip_derived_cl9039])).
% 159.98/24.60 thf(zip_derived_cl13667, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ X0 @ X0)) = (divide @ X1 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)],
% 159.98/24.60 [zip_derived_cl8457, zip_derived_cl13348])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl230, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 159.98/24.60 thf(zip_derived_cl6079, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X4 @ X5) @
% 159.98/24.60 (inverse @
% 159.98/24.60 (divide @ X5 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X3) @ (divide @ (divide @ X1 @ X2) @ X3)) @
% 159.98/24.60 (divide @ X2 @ X1)))))
% 159.98/24.60 = (divide @ (divide @ X4 @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl230])).
% 159.98/24.60 thf(zip_derived_cl5872, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ X3 @
% 159.98/24.60 (divide @
% 159.98/24.60 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 159.98/24.60 (divide @ X1 @ X2)))
% 159.98/24.60 = (X3))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 159.98/24.60 thf(zip_derived_cl6370, plain,
% 159.98/24.60 (![X0 : $i, X4 : $i, X5 : $i]:
% 159.98/24.60 ((divide @ (divide @ X4 @ X5) @ (inverse @ X5))
% 159.98/24.60 = (divide @ (divide @ X4 @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6079, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl8999, plain,
% 159.98/24.60 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8990, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl6646, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((X1) = (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ X0)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl6545, zip_derived_cl6545])).
% 159.98/24.60 thf(zip_derived_cl9044, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ X0) = (divide @ (inverse @ X1) @ (divide @ X0 @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl8999, zip_derived_cl6646])).
% 159.98/24.60 thf(zip_derived_cl6373, plain,
% 159.98/24.60 (![X0 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 159.98/24.60 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6088, zip_derived_cl5872])).
% 159.98/24.60 thf(prove_these_axioms, conjecture,
% 159.98/24.60 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 159.98/24.60 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 159.98/24.60 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 159.98/24.60 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 159.98/24.60 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 159.98/24.60 thf(zf_stmt_0, negated_conjecture,
% 159.98/24.60 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 159.98/24.60 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 159.98/24.60 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 159.98/24.60 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 159.98/24.60 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 159.98/24.60 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 159.98/24.60 thf(zip_derived_cl2, plain,
% 159.98/24.60 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 159.98/24.60 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 159.98/24.60 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 159.98/24.60 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 159.98/24.60 thf(multiply, axiom,
% 159.98/24.60 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl1, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 159.98/24.60 inference('cnf', [status(esa)], [multiply])).
% 159.98/24.60 thf(zip_derived_cl3, plain,
% 159.98/24.60 ((((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 159.98/24.60 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 159.98/24.60 (inverse @ a2)) != (a2))
% 159.98/24.60 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 159.98/24.60 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 159.98/24.60 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 159.98/24.60 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 159.98/24.60 thf(zip_derived_cl6948, plain,
% 159.98/24.60 (![X0 : $i]:
% 159.98/24.60 (((divide @ (divide @ (inverse @ X0) @ (inverse @ X0)) @
% 159.98/24.60 (inverse @ a2)) != (a2))
% 159.98/24.60 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 159.98/24.60 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 159.98/24.60 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 159.98/24.60 inference('sup-', [status(thm)], [zip_derived_cl6373, zip_derived_cl3])).
% 159.98/24.60 thf(zip_derived_cl6373, plain,
% 159.98/24.60 (![X0 : $i, X4 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 159.98/24.60 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl6088, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl7092, plain,
% 159.98/24.60 (![X0 : $i]:
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 159.98/24.60 | ((divide @ (divide @ (inverse @ X0) @ (inverse @ X0)) @
% 159.98/24.60 (inverse @ a2)) != (a2)))),
% 159.98/24.60 inference('simplify_reflect+', [status(thm)],
% 159.98/24.60 [zip_derived_cl6948, zip_derived_cl6373])).
% 159.98/24.60 thf(zip_derived_cl10708, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X0) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X0))))
% 159.98/24.60 | ((divide @ (divide @ (inverse @ X1) @ (inverse @ X1)) @
% 159.98/24.60 (inverse @ a2)) != (a2)))),
% 159.98/24.60 inference('sup-', [status(thm)], [zip_derived_cl9044, zip_derived_cl7092])).
% 159.98/24.60 thf(zip_derived_cl8457, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl8062, zip_derived_cl8062])).
% 159.98/24.60 thf(zip_derived_cl10883, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X0) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X0))))
% 159.98/24.60 | ((divide @ (divide @ X1 @ X1) @ (inverse @ a2)) != (a2)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl10708, zip_derived_cl8457])).
% 159.98/24.60 thf(zip_derived_cl11672, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 (((divide @ (divide @ a2 @ X0) @ (inverse @ X0)) != (a2))
% 159.98/24.60 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X1) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X1)))))),
% 159.98/24.60 inference('sup-', [status(thm)],
% 159.98/24.60 [zip_derived_cl6370, zip_derived_cl10883])).
% 159.98/24.60 thf(zip_derived_cl13907, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 (((divide @ (divide @ a2 @ (divide @ X1 @ X1)) @ (divide @ X0 @ X0))
% 159.98/24.60 != (a2))
% 159.98/24.60 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X2) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X2)))))),
% 159.98/24.60 inference('sup-', [status(thm)],
% 159.98/24.60 [zip_derived_cl13667, zip_derived_cl11672])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl13973, plain,
% 159.98/24.60 (![X2 : $i]:
% 159.98/24.60 (((a2) != (a2))
% 159.98/24.60 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X2) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X2)))))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13907, zip_derived_cl9039, zip_derived_cl9039])).
% 159.98/24.60 thf(zip_derived_cl13974, plain,
% 159.98/24.60 (![X2 : $i]:
% 159.98/24.60 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @
% 159.98/24.60 (divide @ (inverse @ X2) @
% 159.98/24.60 (divide @ (divide @ b3 @ (inverse @ c3)) @ X2))))),
% 159.98/24.60 inference('simplify', [status(thm)], [zip_derived_cl13973])).
% 159.98/24.60 thf(zip_derived_cl14299, plain,
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 159.98/24.60 inference('sup-', [status(thm)],
% 159.98/24.60 [zip_derived_cl9039, zip_derived_cl13974])).
% 159.98/24.60 thf(zip_derived_cl13348, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl9182, zip_derived_cl9039])).
% 159.98/24.60 thf(zip_derived_cl830, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (inverse @ X1) @ X0)
% 159.98/24.60 = (inverse @
% 159.98/24.60 (divide @
% 159.98/24.60 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 159.98/24.60 thf(zip_derived_cl13663, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((divide @ (inverse @ (inverse @ X1)) @ X0)
% 159.98/24.60 = (inverse @ (divide @ X0 @ X1)))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl13348, zip_derived_cl830])).
% 159.98/24.60 thf(zip_derived_cl8999, plain,
% 159.98/24.60 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8990, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl13752, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13663, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl14328, plain,
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl14299, zip_derived_cl13752])).
% 159.98/24.60 thf(zip_derived_cl13752, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13663, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl8999, plain,
% 159.98/24.60 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8990, zip_derived_cl5872])).
% 159.98/24.60 thf(zip_derived_cl7857, plain,
% 159.98/24.60 (![X1 : $i, X5 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 159.98/24.60 inference('demod', [status(thm)], [zip_derived_cl7633, zip_derived_cl142])).
% 159.98/24.60 thf(zip_derived_cl9056, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl8999, zip_derived_cl7857])).
% 159.98/24.60 thf(zip_derived_cl13818, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 159.98/24.60 inference('sup+', [status(thm)],
% 159.98/24.60 [zip_derived_cl13752, zip_derived_cl9056])).
% 159.98/24.60 thf(zip_derived_cl13348, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl9182, zip_derived_cl9039])).
% 159.98/24.60 thf(zip_derived_cl230, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 159.98/24.60 thf(zip_derived_cl13630, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (divide @ (divide @ X2 @ (divide @ X1 @ X1)) @ X0))),
% 159.98/24.60 inference('sup+', [status(thm)], [zip_derived_cl13348, zip_derived_cl230])).
% 159.98/24.60 thf(zip_derived_cl9039, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl8066, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl13724, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 159.98/24.60 = (divide @ X2 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13630, zip_derived_cl9039])).
% 159.98/24.60 thf(zip_derived_cl13752, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i]:
% 159.98/24.60 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13663, zip_derived_cl8999])).
% 159.98/24.60 thf(zip_derived_cl15919, plain,
% 159.98/24.60 (![X0 : $i, X2 : $i, X3 : $i]:
% 159.98/24.60 ((divide @ (divide @ X2 @ X3) @ (divide @ X0 @ X3))
% 159.98/24.60 = (divide @ X2 @ X0))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl13724, zip_derived_cl13752])).
% 159.98/24.60 thf(zip_derived_cl16024, plain,
% 159.98/24.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 159.98/24.60 ((divide @ X0 @ (divide @ X1 @ X2))
% 159.98/24.60 = (divide @ (divide @ X0 @ (inverse @ X2)) @ X1))),
% 159.98/24.60 inference('sup+', [status(thm)],
% 159.98/24.60 [zip_derived_cl13818, zip_derived_cl15919])).
% 159.98/24.60 thf(zip_derived_cl37698, plain,
% 159.98/24.60 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 159.98/24.60 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 159.98/24.60 inference('demod', [status(thm)],
% 159.98/24.60 [zip_derived_cl14328, zip_derived_cl16024])).
% 159.98/24.60 thf(zip_derived_cl37699, plain, ($false),
% 159.98/24.60 inference('simplify', [status(thm)], [zip_derived_cl37698])).
% 159.98/24.60
% 159.98/24.60 % SZS output end Refutation
% 159.98/24.60
% 159.98/24.60
% 159.98/24.60 % Terminating...
% 160.41/24.71 % Runner terminated.
% 160.41/24.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------