%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP473-1 : 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.3tD054Pwps true
% Computer : n012.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 04:36:30 PM UTC 2025
% Result : Unsatisfiable 32.81s 9.00s
% Output : Refutation 32.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.27 % Problem : GRP473-1 : TPTP v9.2.0. Released v2.6.0.
% 0.05/0.28 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3tD054Pwps true
% 0.07/0.53 % Computer : n012.cluster.edu
% 0.07/0.53 % Model : x86_64 x86_64
% 0.07/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.53 % Memory : 8042.1875MB
% 0.07/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.53 % CPULimit : 300
% 0.07/0.53 % WCLimit : 300
% 0.07/0.53 % DateTime : Wed Oct 1 14:07:08 EDT 2025
% 0.07/0.53 % CPUTime :
% 0.07/0.53 % Running portfolio for 300 s
% 0.07/0.53 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.53 % Number of cores: 8
% 0.09/0.54 % Python version: Python 3.6.8
% 0.09/0.54 % Running in FO mode
% 0.13/0.85 % Total configuration time : 435
% 0.13/0.85 % Estimated wc time : 1092
% 0.13/0.85 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/1.18 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.41/1.19 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.41/1.20 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.41/1.21 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 32.81/9.00 % Solved by fo/fo7.sh.
% 32.81/9.00 % done 304 iterations in 7.650s
% 32.81/9.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.81/9.00 % SZS output start Refutation
% 32.81/9.00 thf(b2_type, type, b2: $i).
% 32.81/9.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 32.81/9.00 thf(inverse_type, type, inverse: $i > $i).
% 32.81/9.00 thf(divide_type, type, divide: $i > $i > $i).
% 32.81/9.00 thf(a2_type, type, a2: $i).
% 32.81/9.00 thf(single_axiom, axiom,
% 32.81/9.00 (( divide @
% 32.81/9.00 ( divide @
% 32.81/9.00 ( inverse @ ( divide @ A @ B ) ) @ ( divide @ ( divide @ C @ D ) @ A ) ) @
% 32.81/9.00 ( divide @ D @ C ) ) =
% 32.81/9.00 ( B ))).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl7, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 32.81/9.00 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 32.81/9.00 (inverse @ (divide @ X2 @ X0))))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl4, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ X0) @
% 32.81/9.00 (divide @ (divide @ X3 @ X4) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 32.81/9.00 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl4, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ X0) @
% 32.81/9.00 (divide @ (divide @ X3 @ X4) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 32.81/9.00 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl56, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 32.81/9.00 X7 : $i, X8 : $i, X9 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ X9) @
% 32.81/9.00 (divide @ (divide @ X6 @ X7) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X8 @ X9)) @
% 32.81/9.00 (divide @ (divide @ X1 @ X0) @ X8)))) @
% 32.81/9.00 (divide @ X7 @ X6))
% 32.81/9.00 = (divide @ (divide @ X4 @ X5) @
% 32.81/9.00 (divide @ (inverse @ X3) @
% 32.81/9.00 (divide @ (divide @ X5 @ X4) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 32.81/9.00 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 32.81/9.00 thf(zip_derived_cl4, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ X0) @
% 32.81/9.00 (divide @ (divide @ X3 @ X4) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X5 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X1 @ X2) @ X5)))) @
% 32.81/9.00 (divide @ X4 @ X3)) = (divide @ X2 @ X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl63, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((divide @ X0 @ X1)
% 32.81/9.00 = (divide @ (divide @ X4 @ X5) @
% 32.81/9.00 (divide @ (inverse @ X3) @
% 32.81/9.00 (divide @ (divide @ X5 @ X4) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X2 @ X3)) @
% 32.81/9.00 (divide @ (divide @ X0 @ X1) @ X2))))))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl4])).
% 32.81/9.00 thf(zip_derived_cl91, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 32.81/9.00 X7 : $i, X8 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ (divide @ X4 @ X5) @ X0)) @ X2) @
% 32.81/9.00 (divide @ (divide @ (divide @ X5 @ X4) @ X3) @
% 32.81/9.00 (inverse @ (divide @ X3 @ X2))))
% 32.81/9.00 = (divide @ (divide @ X7 @ X8) @
% 32.81/9.00 (divide @ (inverse @ X6) @
% 32.81/9.00 (divide @ (divide @ X8 @ X7) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl63])).
% 32.81/9.00 thf(zip_derived_cl7, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 32.81/9.00 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 32.81/9.00 (inverse @ (divide @ X2 @ X0))))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl107, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 32.81/9.00 ((X0)
% 32.81/9.00 = (divide @ (divide @ X7 @ X8) @
% 32.81/9.00 (divide @ (inverse @ X6) @
% 32.81/9.00 (divide @ (divide @ X8 @ X7) @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X6)) @ (divide @ X0 @ X1))))))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 32.81/9.00 thf(zip_derived_cl142, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X0))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 32.81/9.00 thf(zip_derived_cl142, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X0))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 32.81/9.00 thf(zip_derived_cl183, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 32.81/9.00 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @ X0 @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 32.81/9.00 (divide @ (inverse @ X2) @ X1)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl183, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 32.81/9.00 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @ X0 @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 32.81/9.00 (divide @ (inverse @ X2) @ X1)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl142, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X0))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 32.81/9.00 thf(zip_derived_cl231, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X4)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 32.81/9.00 (divide @ (inverse @ X0) @ X2)) @
% 32.81/9.00 X1) @
% 32.81/9.00 (inverse @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl448, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X3)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X3 @ (divide @ (inverse @ X0) @ X2)) @ X1) @
% 32.81/9.00 (inverse @ (divide @ X1 @ X0))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X2))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl231])).
% 32.81/9.00 thf(zip_derived_cl231, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X4)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X4 @ X3) @ (inverse @ (divide @ X3 @ X2))) @
% 32.81/9.00 (divide @ (inverse @ X0) @ X2)) @
% 32.81/9.00 X1) @
% 32.81/9.00 (inverse @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl683, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @ (divide @ (inverse @ X3) @ X2))
% 32.81/9.00 = (divide @ X0 @
% 32.81/9.00 (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X1) @ X3) @ X2)) @ X1))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl231])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl746, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ X2 @ (divide @ (inverse @ X1) @ X0))) @
% 32.81/9.00 (divide @ (divide @ X4 @ X5) @ X2)) @
% 32.81/9.00 (divide @ X5 @ X4))
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl883, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2))
% 32.81/9.00 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl883, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2))
% 32.81/9.00 = (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl967, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0)))
% 32.81/9.00 = (inverse @ (divide @ (inverse @ X2) @ (divide @ X1 @ X2))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl883, zip_derived_cl883])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl1041, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @
% 32.81/9.00 (divide @ (divide @ X3 @ X4) @ (inverse @ X2))) @
% 32.81/9.00 (divide @ X4 @ X3)) = (divide @ X1 @ X2))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl967, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl7, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ (divide @ X3 @ X4) @ X1)) @ X0) @
% 32.81/9.00 (divide @ (divide @ (divide @ X4 @ X3) @ X2) @
% 32.81/9.00 (inverse @ (divide @ X2 @ X0))))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl0, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ (divide @ X1 @ X0)) @
% 32.81/9.00 (divide @ (divide @ X2 @ X3) @ X1)) @
% 32.81/9.00 (divide @ X3 @ X2)) = (X0))),
% 32.81/9.00 inference('cnf', [status(esa)], [single_axiom])).
% 32.81/9.00 thf(zip_derived_cl862, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (divide @ (inverse @ X1) @ X0) @
% 32.81/9.00 (divide @ (divide @ X3 @ X4) @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X2) @ X1) @ X0)))) @
% 32.81/9.00 (divide @ X4 @ X3)) = (X2))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl5634, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 32.81/9.00 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl6182, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X0) @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X4) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6401, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((inverse @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6182, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl6421, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ X4 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X3) @ X4)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl6401, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl6545, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6421, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl5634, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X0) @ (divide @ X1 @ X0))
% 32.81/9.00 = (divide @ (inverse @ X2) @ (divide @ X1 @ X2)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6545, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6421, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6665, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ X1 @ X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (inverse @ (divide @ (inverse @ X0) @ (divide @ X1 @ X0))) @ X2))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl6545])).
% 32.81/9.00 thf(zip_derived_cl142, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X0))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 32.81/9.00 thf(zip_derived_cl7390, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5)))
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X1 @ X0) @ (inverse @ (divide @ X0 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X2))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X2)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl6665, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl142, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X3))) @
% 32.81/9.00 X4) @
% 32.81/9.00 (inverse @ (divide @ X4 @ X0))) @
% 32.81/9.00 (divide @ (inverse @ X3) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 32.81/9.00 thf(zip_derived_cl7576, plain,
% 32.81/9.00 (![X1 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl183, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 32.81/9.00 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @ X0 @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 32.81/9.00 (divide @ (inverse @ X2) @ X1)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl183, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 32.81/9.00 ((divide @ (divide @ X0 @ X5) @ (inverse @ (divide @ X5 @ X3)))
% 32.81/9.00 = (divide @
% 32.81/9.00 (divide @ X0 @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X2) @ X1))) @
% 32.81/9.00 (divide @ (inverse @ X2) @ X1)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl230, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (divide @ X2 @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 32.81/9.00 = (divide @ (divide @ X2 @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl183])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl887, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X3) @ (inverse @ (divide @ X3 @ X0)))
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @
% 32.81/9.00 (divide @ (divide @ (inverse @ X2) @ X1) @
% 32.81/9.00 (inverse @ (divide @ X1 @ X0)))) @
% 32.81/9.00 X2)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl1376, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ (divide @ X2 @ X0)))
% 32.81/9.00 = (divide @ (inverse @ X1) @ (inverse @ (divide @ X1 @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl887, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl6088, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X4) @
% 32.81/9.00 (inverse @
% 32.81/9.00 (divide @ X4 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X3) @ (divide @ (divide @ X1 @ X2) @ X3)) @
% 32.81/9.00 (divide @ X2 @ X1)))))
% 32.81/9.00 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl1376])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6373, plain,
% 32.81/9.00 (![X0 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 32.81/9.00 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6088, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl6545, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6421, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6545, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X0) = (divide @ (inverse @ (divide @ (inverse @ X1) @ X0)) @ X1))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6421, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl6646, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X1) = (divide @ (inverse @ X0) @ (divide @ (inverse @ X1) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl6545, zip_derived_cl6545])).
% 32.81/9.00 thf(zip_derived_cl6940, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((X1)
% 32.81/9.00 = (divide @ (inverse @ (inverse @ X1)) @
% 32.81/9.00 (divide @ (inverse @ X0) @ (inverse @ X0))))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl6373, zip_derived_cl6646])).
% 32.81/9.00 thf(zip_derived_cl7615, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((X2)
% 32.81/9.00 = (divide @ (inverse @ (inverse @ X2)) @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0)))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7576, zip_derived_cl6940])).
% 32.81/9.00 thf(zip_derived_cl7576, plain,
% 32.81/9.00 (![X1 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl7732, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]:
% 32.81/9.00 ((X2) = (divide @ (inverse @ (inverse @ X2)) @ (divide @ X0 @ X0)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7615, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl7576, plain,
% 32.81/9.00 (![X1 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl6373, plain,
% 32.81/9.00 (![X0 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 32.81/9.00 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6088, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl7612, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ X2))
% 32.81/9.00 = (divide @
% 32.81/9.00 (inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X1))) @ X0))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7576, zip_derived_cl6373])).
% 32.81/9.00 thf(zip_derived_cl7576, plain,
% 32.81/9.00 (![X1 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl7730, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7612, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl7576, plain,
% 32.81/9.00 (![X1 : $i, X5 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X5) @ (divide @ X1 @ X5))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl142])).
% 32.81/9.00 thf(zip_derived_cl8029, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((inverse @
% 32.81/9.00 (divide @ (inverse @ X1) @
% 32.81/9.00 (divide @ (inverse @ X0) @ (inverse @ X0))))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7730, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl7730, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7612, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl8257, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((inverse @ (divide @ (inverse @ X1) @ (divide @ X0 @ X0))) = (X1))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl8029, zip_derived_cl7730])).
% 32.81/9.00 thf(zip_derived_cl8718, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((inverse @
% 32.81/9.00 (divide @ (inverse @ X3) @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X2) @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 32.81/9.00 (divide @ X1 @ X0))))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl8257])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl8725, plain,
% 32.81/9.00 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl8718, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl8734, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]: ((X2) = (divide @ X2 @ (divide @ X0 @ X0)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7732, zip_derived_cl8725])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl7730, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7612, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl6373, plain,
% 32.81/9.00 (![X0 : $i, X4 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X4) @ (inverse @ X4))
% 32.81/9.00 = (divide @ (inverse @ X0) @ (inverse @ X0)))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl6088, zip_derived_cl5872])).
% 32.81/9.00 thf(prove_these_axioms_2, conjecture,
% 32.81/9.00 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 32.81/9.00 thf(zf_stmt_0, negated_conjecture,
% 32.81/9.00 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 32.81/9.00 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 32.81/9.00 thf(zip_derived_cl2, plain,
% 32.81/9.00 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 32.81/9.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 32.81/9.00 thf(multiply, axiom,
% 32.81/9.00 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 32.81/9.00 thf(zip_derived_cl1, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 32.81/9.00 inference('cnf', [status(esa)], [multiply])).
% 32.81/9.00 thf(zip_derived_cl1, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 32.81/9.00 inference('cnf', [status(esa)], [multiply])).
% 32.81/9.00 thf(zip_derived_cl3, plain,
% 32.81/9.00 (((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @ (inverse @ a2))
% 32.81/9.00 != (a2))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 32.81/9.00 thf(zip_derived_cl6948, plain,
% 32.81/9.00 (![X0 : $i]:
% 32.81/9.00 ((divide @ (divide @ (inverse @ X0) @ (inverse @ X0)) @ (inverse @ a2))
% 32.81/9.00 != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl6373, zip_derived_cl3])).
% 32.81/9.00 thf(zip_derived_cl7239, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X2) @ X1) @ X0)) @ X2)) @
% 32.81/9.00 (divide @ (inverse @ X1) @ X0)) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl830, zip_derived_cl6948])).
% 32.81/9.00 thf(zip_derived_cl830, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X1) @ X0)
% 32.81/9.00 = (inverse @
% 32.81/9.00 (divide @
% 32.81/9.00 (inverse @ (divide @ (divide @ (inverse @ X3) @ X1) @ X0)) @ X3)))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl0])).
% 32.81/9.00 thf(zip_derived_cl7251, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (divide @ (inverse @ X1) @ X0) @
% 32.81/9.00 (divide @ (inverse @ X1) @ X0)) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('demod', [status(thm)], [zip_derived_cl7239, zip_derived_cl830])).
% 32.81/9.00 thf(zip_derived_cl7257, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X3) @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @
% 32.81/9.00 (divide @ (divide @ X1 @ X2) @ (inverse @ X3))) @
% 32.81/9.00 (divide @ X2 @ X1))) @
% 32.81/9.00 X0) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl5355, zip_derived_cl7251])).
% 32.81/9.00 thf(zip_derived_cl5355, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X0 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X1) @ (divide @ (divide @ X2 @ X3) @ X0)) @
% 32.81/9.00 (divide @ X3 @ X2)))
% 32.81/9.00 = (X1))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl862])).
% 32.81/9.00 thf(zip_derived_cl7329, plain,
% 32.81/9.00 (![X0 : $i]: ((divide @ (divide @ X0 @ X0) @ (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7257, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl7359, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X2) @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 32.81/9.00 (divide @ X1 @ X0)) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl5872, zip_derived_cl7329])).
% 32.81/9.00 thf(zip_derived_cl7979, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X2) @ (divide @ (divide @ X1 @ X1) @ X2)) @
% 32.81/9.00 (divide @ (inverse @ X0) @ (inverse @ X0))) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl7730, zip_derived_cl7359])).
% 32.81/9.00 thf(zip_derived_cl7730, plain,
% 32.81/9.00 (![X0 : $i, X2 : $i]:
% 32.81/9.00 ((divide @ (inverse @ X2) @ (inverse @ X2)) = (divide @ X0 @ X0))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7612, zip_derived_cl7576])).
% 32.81/9.00 thf(zip_derived_cl8207, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X2) @ (divide @ (divide @ X1 @ X1) @ X2)) @
% 32.81/9.00 (divide @ X0 @ X0)) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl7979, zip_derived_cl7730])).
% 32.81/9.00 thf(zip_derived_cl8572, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X3) @ (divide @ (divide @ X4 @ X4) @ X3)) @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X2) @ (divide @ (divide @ X0 @ X1) @ X2)) @
% 32.81/9.00 (divide @ X1 @ X0))) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl5872, zip_derived_cl8207])).
% 32.81/9.00 thf(zip_derived_cl5872, plain,
% 32.81/9.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.81/9.00 ((divide @ X3 @
% 32.81/9.00 (divide @
% 32.81/9.00 (divide @ (inverse @ X0) @ (divide @ (divide @ X2 @ X1) @ X0)) @
% 32.81/9.00 (divide @ X1 @ X2)))
% 32.81/9.00 = (X3))),
% 32.81/9.00 inference('sup+', [status(thm)], [zip_derived_cl5634, zip_derived_cl5355])).
% 32.81/9.00 thf(zip_derived_cl8596, plain,
% 32.81/9.00 (![X3 : $i, X4 : $i]:
% 32.81/9.00 ((divide @
% 32.81/9.00 (divide @ (inverse @ X3) @ (divide @ (divide @ X4 @ X4) @ X3)) @
% 32.81/9.00 (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl8572, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl8907, plain,
% 32.81/9.00 (![X0 : $i]:
% 32.81/9.00 ((divide @ (inverse @ (divide @ X0 @ X0)) @ (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl8734, zip_derived_cl8596])).
% 32.81/9.00 thf(zip_derived_cl8958, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 32.81/9.00 inference('sup-', [status(thm)], [zip_derived_cl6545, zip_derived_cl8907])).
% 32.81/9.00 thf(zip_derived_cl8725, plain,
% 32.81/9.00 (![X3 : $i]: ((inverse @ (inverse @ X3)) = (X3))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl8718, zip_derived_cl5872])).
% 32.81/9.00 thf(zip_derived_cl8965, plain, (((a2) != (a2))),
% 32.81/9.00 inference('demod', [status(thm)],
% 32.81/9.00 [zip_derived_cl8958, zip_derived_cl8725])).
% 32.81/9.00 thf(zip_derived_cl8966, plain, ($false),
% 32.81/9.00 inference('simplify', [status(thm)], [zip_derived_cl8965])).
% 32.81/9.00
% 32.81/9.00 % SZS output end Refutation
% 32.81/9.00
% 32.81/9.00
% 32.81/9.00 % Terminating...
% 33.19/9.17 % Runner terminated.
% 33.22/9.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------