%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP474-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0SaRv9xbkv true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:31 PM UTC 2025
% Result : Unsatisfiable 101.22s 15.04s
% Output : Refutation 101.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP474-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0SaRv9xbkv true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:13:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 101.22/15.04 % Solved by fo/fo7.sh.
% 101.22/15.04 % done 4175 iterations in 14.287s
% 101.22/15.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 101.22/15.04 % SZS output start Refutation
% 101.22/15.04 thf(a3_type, type, a3: $i).
% 101.22/15.04 thf(multiply_type, type, multiply: $i > $i > $i).
% 101.22/15.04 thf(inverse_type, type, inverse: $i > $i).
% 101.22/15.04 thf(c3_type, type, c3: $i).
% 101.22/15.04 thf(divide_type, type, divide: $i > $i > $i).
% 101.22/15.04 thf(b3_type, type, b3: $i).
% 101.22/15.04 thf(single_axiom, axiom,
% 101.22/15.04 (( divide @
% 101.22/15.04 ( divide @
% 101.22/15.04 ( inverse @ ( divide @ A @ B ) ) @ ( divide @ ( divide @ C @ D ) @ A ) ) @
% 101.22/15.04 ( divide @ D @ C ) ) =
% 101.22/15.04 ( B ))).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl7, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 101.22/15.04 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 101.22/15.04 (inverse @ (divide @ X2 @ X0))))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl4, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ X0) @
% 101.22/15.04 (divide @ (divide @ X3 @ X4) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 101.22/15.04 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl4, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ X0) @
% 101.22/15.04 (divide @ (divide @ X3 @ X4) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 101.22/15.04 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl56, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 101.22/15.04 X7 : $i, X8 : $i, X9 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ X9) @
% 101.22/15.04 (divide @ (divide @ X6 @ X7) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X8 @ X9)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X0) @ X8)))) @
% 101.22/15.04 (divide @ X7 @ X6))
% 101.22/15.04 = (divide @ (divide @ X4 @ X5) @
% 101.22/15.04 (divide @ (inverse @ X3) @
% 101.22/15.04 (divide @ (divide @ X5 @ X4) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 101.22/15.04 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 101.22/15.04 thf(zip_derived_cl4, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ X0) @
% 101.22/15.04 (divide @ (divide @ X3 @ X4) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 101.22/15.04 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl63, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((divide @ X0 @ X1)
% 101.22/15.04 = (divide @ (divide @ X4 @ X5) @
% 101.22/15.04 (divide @ (inverse @ X3) @
% 101.22/15.04 (divide @ (divide @ X5 @ X4) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 101.22/15.04 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl4])).
% 101.22/15.04 thf(zip_derived_cl91, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 101.22/15.04 X7 : $i, X8 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ (divide @ X4 @ X5) @ X0)) @ X2) @
% 101.22/15.04 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 101.22/15.04 (inverse @ (divide @ X3 @ X2))))
% 101.22/15.04 = (divide @ (divide @ X7 @ X8) @
% 101.22/15.04 (divide @ (inverse @ X6) @
% 101.22/15.04 (divide @ (divide @ X8 @ X7) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl63])).
% 101.22/15.04 thf(zip_derived_cl7, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 101.22/15.04 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 101.22/15.04 (inverse @ (divide @ X2 @ X0))))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl107, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 101.22/15.04 ((X0)
% 101.22/15.04 = (divide @ (divide @ X7 @ X8) @
% 101.22/15.04 (divide @ (inverse @ X6) @
% 101.22/15.04 (divide @ (divide @ X8 @ X7) @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 101.22/15.04 thf(zip_derived_cl142, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X0))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 101.22/15.04 thf(zip_derived_cl142, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X0))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 101.22/15.04 thf(zip_derived_cl183, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 101.22/15.04 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @ X0 @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 101.22/15.04 (divide @ (inverse @ X2) @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl183, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 101.22/15.04 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @ X0 @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 101.22/15.04 (divide @ (inverse @ X2) @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl142, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X0))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 101.22/15.04 thf(zip_derived_cl231, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X4)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 101.22/15.04 (divide @ (inverse @ X0) @ X2)) @
% 101.22/15.04 X1) @
% 101.22/15.04 (inverse @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl448, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X3)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X3 @ (divide @ (inverse @ X0) @ X2)) @ X1) @
% 101.22/15.04 (inverse @ (divide @ X1 @ X0))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X2))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl231])).
% 101.22/15.04 thf(zip_derived_cl231, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X4)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 101.22/15.04 (divide @ (inverse @ X0) @ X2)) @
% 101.22/15.04 X1) @
% 101.22/15.04 (inverse @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl683, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X0 @ (divide @ (inverse @ X3) @ X2))
% 101.22/15.04 = (divide @ X0 @
% 101.22/15.04 (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X1) @ X3) @ X2)) @ X1))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl231])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl746, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ X2 @ (divide @ (inverse @ X1) @ X0))) @
% 101.22/15.04 (divide @ (divide @ X4 @ X5) @ X2)) @
% 101.22/15.04 (divide @ X5 @ X4))
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl883, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2))
% 101.22/15.04 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl883, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2))
% 101.22/15.04 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl967, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 101.22/15.04 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl883])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl1041, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 101.22/15.04 (divide @ (divide @ X3 @ X4) @ (inverse @ X2))) @
% 101.22/15.04 (divide @ X4 @ X3)) = (divide @ X1 @ X2))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl7, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 101.22/15.04 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 101.22/15.04 (inverse @ (divide @ X2 @ X0))))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl862, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (divide @ (inverse @ X1) @ X0) @
% 101.22/15.04 (divide @ (divide @ X3 @ X4) @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X2) @ X1) @ X0)))) @
% 101.22/15.04 (divide @ X4 @ X3)) = (X2))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl5355, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X0 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 101.22/15.04 thf(zip_derived_cl5634, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 101.22/15.04 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl5634, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 101.22/15.04 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl5355, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X0 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl6182, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X0) @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X4) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6401, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6182, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl5355, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X0 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 101.22/15.04 thf(zip_derived_cl6421, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ X4 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl6401, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl5355, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X0 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 101.22/15.04 (divide @ X3 @ X2)))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 101.22/15.04 thf(zip_derived_cl6545, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6421, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6665, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ X1 @ X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @ X2))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl6545])).
% 101.22/15.04 thf(zip_derived_cl142, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X0))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 101.22/15.04 thf(zip_derived_cl7651, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5)))
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X1 @ X0) @ (inverse @ (divide @ X0 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X2))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X2)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl6665, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl142, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 101.22/15.04 X4) @
% 101.22/15.04 (inverse @ (divide @ X4 @ X0))) @
% 101.22/15.04 (divide @ (inverse @ X3) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl183, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 101.22/15.04 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @ X0 @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 101.22/15.04 (divide @ (inverse @ X2) @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl183, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 101.22/15.04 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 101.22/15.04 = (divide @
% 101.22/15.04 (divide @ X0 @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 101.22/15.04 (divide @ (inverse @ X2) @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl230, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 101.22/15.04 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl887, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @
% 101.22/15.04 (divide @ (divide @ (inverse @ X2) @ X1) @
% 101.22/15.04 (inverse @ (divide @ X1 @ X0)))) @
% 101.22/15.04 X2)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl1376, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X2) @ (inverse @ (divide @ X2 @ X0)))
% 101.22/15.04 = (divide @ (inverse @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl887, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl6088, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X4) @
% 101.22/15.04 (inverse @
% 101.22/15.04 (divide @ X4 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X3) @ (divide @ (divide @ X1 @ X2) @ X3)) @
% 101.22/15.04 (divide @ X2 @ X1)))))
% 101.22/15.04 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl1376])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6373, plain,
% 101.22/15.04 (![X0 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 101.22/15.04 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6088, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl6545, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6421, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6545, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6421, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6641, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X1) = (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl6545, zip_derived_cl6545])).
% 101.22/15.04 thf(zip_derived_cl6935, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X1)
% 101.22/15.04 = (divide @ (inverse @ (inverse @ X1)) @
% 101.22/15.04 (divide @ (inverse @ X0) @ (inverse @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl6373, zip_derived_cl6641])).
% 101.22/15.04 thf(zip_derived_cl7946, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((X2)
% 101.22/15.04 = (divide @ (inverse @ (inverse @ X2)) @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7876, zip_derived_cl6935])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl8088, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]:
% 101.22/15.04 ((X2) = (divide @ (inverse @ (inverse @ X2)) @ (divide @ X0 @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl7946, zip_derived_cl7876])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl6373, plain,
% 101.22/15.04 (![X0 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 101.22/15.04 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6088, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl7941, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X2) @ (inverse @ X2))
% 101.22/15.04 = (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl7876, zip_derived_cl6373])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl8084, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl7941, zip_derived_cl7876])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl8472, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @
% 101.22/15.04 (divide @ (inverse @ X1) @
% 101.22/15.04 (divide @ (inverse @ X0) @ (inverse @ X0))))
% 101.22/15.04 = (X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl8084, zip_derived_cl7876])).
% 101.22/15.04 thf(zip_derived_cl8084, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl7941, zip_derived_cl7876])).
% 101.22/15.04 thf(zip_derived_cl8708, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X0))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl8472, zip_derived_cl8084])).
% 101.22/15.04 thf(zip_derived_cl9164, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((inverse @
% 101.22/15.04 (divide @ (inverse @ X3) @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X2) @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 101.22/15.04 (divide @ X1 @ X0))))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl8708])).
% 101.22/15.04 thf(zip_derived_cl5872, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ X3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 101.22/15.04 (divide @ X1 @ X2)))
% 101.22/15.04 = (X3))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl9173, plain,
% 101.22/15.04 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl9164, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl9213, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl8088, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl883, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2))
% 101.22/15.04 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl883, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2))
% 101.22/15.04 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl919, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X2)) @
% 101.22/15.04 (divide @ X4 @ X3))
% 101.22/15.04 = (divide @ (inverse @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 101.22/15.04 (divide @ X1 @ X0)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl883])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl6373, plain,
% 101.22/15.04 (![X0 : $i, X4 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 101.22/15.04 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6088, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl6545, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6421, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl6934, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @ X1)
% 101.22/15.04 = (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X0) @ (inverse @ X0))) @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl6373, zip_derived_cl6545])).
% 101.22/15.04 thf(prove_these_axioms_3, conjecture,
% 101.22/15.04 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 101.22/15.04 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 101.22/15.04 thf(zf_stmt_0, negated_conjecture,
% 101.22/15.04 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 101.22/15.04 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 101.22/15.04 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 101.22/15.04 thf(zip_derived_cl2, plain,
% 101.22/15.04 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 101.22/15.04 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 101.22/15.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 101.22/15.04 thf(multiply, axiom,
% 101.22/15.04 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 101.22/15.04 thf(zip_derived_cl1, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 101.22/15.04 inference('cnf', [status(esa)], [multiply])).
% 101.22/15.04 thf(zip_derived_cl1, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 101.22/15.04 inference('cnf', [status(esa)], [multiply])).
% 101.22/15.04 thf(zip_derived_cl1, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 101.22/15.04 inference('cnf', [status(esa)], [multiply])).
% 101.22/15.04 thf(zip_derived_cl1, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 101.22/15.04 inference('cnf', [status(esa)], [multiply])).
% 101.22/15.04 thf(zip_derived_cl3, plain,
% 101.22/15.04 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 101.22/15.04 zip_derived_cl1, zip_derived_cl1])).
% 101.22/15.04 thf(zip_derived_cl7472, plain,
% 101.22/15.04 (![X0 : $i]:
% 101.22/15.04 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X0) @ (inverse @ X0))) @
% 101.22/15.04 (divide @ b3 @ (inverse @ c3)))))),
% 101.22/15.04 inference('sup-', [status(thm)], [zip_derived_cl6934, zip_derived_cl3])).
% 101.22/15.04 thf(zip_derived_cl7948, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @
% 101.22/15.04 X0)) @
% 101.22/15.04 (divide @ b3 @ (inverse @ c3)))))),
% 101.22/15.04 inference('sup-', [status(thm)], [zip_derived_cl7876, zip_derived_cl7472])).
% 101.22/15.04 thf(zip_derived_cl7876, plain,
% 101.22/15.04 (![X1 : $i, X5 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl7651, zip_derived_cl142])).
% 101.22/15.04 thf(zip_derived_cl8090, plain,
% 101.22/15.04 (![X0 : $i]:
% 101.22/15.04 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @
% 101.22/15.04 (divide @ (inverse @ (divide @ X0 @ X0)) @
% 101.22/15.04 (divide @ b3 @ (inverse @ c3)))))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl7948, zip_derived_cl7876])).
% 101.22/15.04 thf(zip_derived_cl8111, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @
% 101.22/15.04 (divide @ (divide @ X0 @ X1) @ (divide @ (inverse @ c3) @ b3))) @
% 101.22/15.04 (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup-', [status(thm)], [zip_derived_cl919, zip_derived_cl8090])).
% 101.22/15.04 thf(zip_derived_cl9314, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ X0 @ (divide @ (inverse @ c3) @ b3))) @
% 101.22/15.04 (divide @ (divide @ X1 @ X1) @ X0))))),
% 101.22/15.04 inference('sup-', [status(thm)], [zip_derived_cl9213, zip_derived_cl8111])).
% 101.22/15.04 thf(zip_derived_cl9213, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl8088, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl0, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @
% 101.22/15.04 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 101.22/15.04 (divide @ (divide @ X2 @ X3) @ X1)) @
% 101.22/15.04 (divide @ X3 @ X2)) = (X0))),
% 101.22/15.04 inference('cnf', [status(esa)], [single_axiom])).
% 101.22/15.04 thf(zip_derived_cl9358, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ X0 @ X2)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X1) @ X0)) = (X2))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl9213, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl13036, plain,
% 101.22/15.04 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl9314, zip_derived_cl9358])).
% 101.22/15.04 thf(zip_derived_cl6545, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6421, zip_derived_cl5355])).
% 101.22/15.04 thf(zip_derived_cl9358, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (divide @ X0 @ X2)) @
% 101.22/15.04 (divide @ (divide @ X1 @ X1) @ X0)) = (X2))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl9213, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl9213, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl8088, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl13098, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl9358, zip_derived_cl9213])).
% 101.22/15.04 thf(zip_derived_cl830, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (inverse @ X1) @ X0)
% 101.22/15.04 = (inverse @
% 101.22/15.04 (divide @
% 101.22/15.04 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 101.22/15.04 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 101.22/15.04 thf(zip_derived_cl13498, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ (inverse @ (inverse @ X1)) @ X0)
% 101.22/15.04 = (inverse @ (divide @ X0 @ X1)))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl13098, zip_derived_cl830])).
% 101.22/15.04 thf(zip_derived_cl9173, plain,
% 101.22/15.04 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl9164, zip_derived_cl5872])).
% 101.22/15.04 thf(zip_derived_cl13589, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl13498, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl13614, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((X0) = (divide @ (divide @ X0 @ (inverse @ X1)) @ X1))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl6545, zip_derived_cl13589])).
% 101.22/15.04 thf(zip_derived_cl13098, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((inverse @ (divide @ (divide @ X1 @ X1) @ X0)) = (X0))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl9358, zip_derived_cl9213])).
% 101.22/15.04 thf(zip_derived_cl230, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 101.22/15.04 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 101.22/15.04 thf(zip_derived_cl13462, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 101.22/15.04 = (divide @ (divide @ X2 @ (divide @ X1 @ X1)) @ X0))),
% 101.22/15.04 inference('sup+', [status(thm)], [zip_derived_cl13098, zip_derived_cl230])).
% 101.22/15.04 thf(zip_derived_cl9213, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl8088, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl13563, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 101.22/15.04 = (divide @ X2 @ X0))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl13462, zip_derived_cl9213])).
% 101.22/15.04 thf(zip_derived_cl13589, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i]:
% 101.22/15.04 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl13498, zip_derived_cl9173])).
% 101.22/15.04 thf(zip_derived_cl16107, plain,
% 101.22/15.04 (![X0 : $i, X2 : $i, X3 : $i]:
% 101.22/15.04 ((divide @ (divide @ X2 @ X3) @ (divide @ X0 @ X3))
% 101.22/15.04 = (divide @ X2 @ X0))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl13563, zip_derived_cl13589])).
% 101.22/15.04 thf(zip_derived_cl16222, plain,
% 101.22/15.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.22/15.04 ((divide @ X0 @ (divide @ X1 @ X2))
% 101.22/15.04 = (divide @ (divide @ X0 @ (inverse @ X2)) @ X1))),
% 101.22/15.04 inference('sup+', [status(thm)],
% 101.22/15.04 [zip_derived_cl13614, zip_derived_cl16107])).
% 101.22/15.04 thf(zip_derived_cl38440, plain,
% 101.22/15.04 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 101.22/15.04 != (divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3)))),
% 101.22/15.04 inference('demod', [status(thm)],
% 101.22/15.04 [zip_derived_cl13036, zip_derived_cl16222])).
% 101.22/15.04 thf(zip_derived_cl38441, plain, ($false),
% 101.22/15.04 inference('simplify', [status(thm)], [zip_derived_cl38440])).
% 101.22/15.04
% 101.22/15.04 % SZS output end Refutation
% 101.22/15.04
% 101.22/15.04
% 101.22/15.04 % Terminating...
% 101.41/15.09 % Runner terminated.
% 101.41/15.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------