TSTP Solution File: GRP098-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7Pmxka2XYo true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:55 EDT 2023
% Result : Unsatisfiable 7.32s 1.70s
% Output : Refutation 7.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7Pmxka2XYo true
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 00:30:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.32/1.70 % Solved by fo/fo7.sh.
% 7.32/1.70 % done 713 iterations in 0.830s
% 7.32/1.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.32/1.70 % SZS output start Refutation
% 7.32/1.70 thf(b3_type, type, b3: $i).
% 7.32/1.70 thf(inverse_type, type, inverse: $i > $i).
% 7.32/1.70 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.32/1.70 thf(b1_type, type, b1: $i).
% 7.32/1.70 thf(a4_type, type, a4: $i).
% 7.32/1.70 thf(a3_type, type, a3: $i).
% 7.32/1.70 thf(a2_type, type, a2: $i).
% 7.32/1.70 thf(divide_type, type, divide: $i > $i > $i).
% 7.32/1.70 thf(a1_type, type, a1: $i).
% 7.32/1.70 thf(b2_type, type, b2: $i).
% 7.32/1.70 thf(b4_type, type, b4: $i).
% 7.32/1.70 thf(c3_type, type, c3: $i).
% 7.32/1.70 thf(single_axiom, axiom,
% 7.32/1.70 (( divide @
% 7.32/1.70 ( divide @ ( divide @ X @ ( inverse @ Y ) ) @ Z ) @ ( divide @ X @ Z ) ) =
% 7.32/1.70 ( Y ))).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl4, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.32/1.70 ((divide @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (inverse @ X1)) @
% 7.32/1.70 (divide @ X3 @ X2)) @
% 7.32/1.70 X0) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl4, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.32/1.70 ((divide @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ (divide @ X3 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (inverse @ X1)) @
% 7.32/1.70 (divide @ X3 @ X2)) @
% 7.32/1.70 X0) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl20, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.32/1.70 ((divide @
% 7.32/1.70 (divide @ X0 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ X3 @ (inverse @ (inverse @ X1))) @ X2) @
% 7.32/1.70 (divide @ X3 @ X2))) @
% 7.32/1.70 X0) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl24, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl24, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl5, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ X0 @
% 7.32/1.70 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 7.32/1.70 (divide @ X2 @ (inverse @ X1))))
% 7.32/1.70 = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl60, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ X0 @
% 7.32/1.70 (divide @ X0 @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1))))
% 7.32/1.70 = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl68, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl55, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @
% 7.32/1.70 (divide @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1)) @
% 7.32/1.70 (inverse @ X0)) @
% 7.32/1.70 X0) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl66, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl143, plain,
% 7.32/1.70 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl66, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl155, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl66])).
% 7.32/1.70 thf(zip_derived_cl0, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 7.32/1.70 (divide @ X1 @ X2)) = (X0))),
% 7.32/1.70 inference('cnf', [status(esa)], [single_axiom])).
% 7.32/1.70 thf(zip_derived_cl700, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ X0 @ X2) @ (divide @ (divide @ X0 @ X1) @ X2))
% 7.32/1.70 = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl3493, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2))
% 7.32/1.70 = (divide @ X1 @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl700])).
% 7.32/1.70 thf(zip_derived_cl143, plain,
% 7.32/1.70 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl24, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl159, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl68, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl68, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl76, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl76, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl24, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl66, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl147, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X0 @ X1) = (divide @ (inverse @ X1) @ (inverse @ X0)))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl66])).
% 7.32/1.70 thf(zip_derived_cl147, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X0 @ X1) = (divide @ (inverse @ X1) @ (inverse @ X0)))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl66])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(prove_these_axioms, conjecture,
% 7.32/1.70 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 7.32/1.70 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 7.32/1.70 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 7.32/1.70 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 7.32/1.70 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.32/1.70 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 7.32/1.70 thf(zf_stmt_0, negated_conjecture,
% 7.32/1.70 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 7.32/1.70 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 7.32/1.70 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 7.32/1.70 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 7.32/1.70 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.32/1.70 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 7.32/1.70 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 7.32/1.70 thf(zip_derived_cl2, plain,
% 7.32/1.70 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 7.32/1.70 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 7.32/1.70 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 7.32/1.70 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 7.32/1.70 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.32/1.70 thf(multiply, axiom,
% 7.32/1.70 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl1, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('cnf', [status(esa)], [multiply])).
% 7.32/1.70 thf(zip_derived_cl3, plain,
% 7.32/1.70 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 7.32/1.70 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 7.32/1.70 (inverse @ a2)) != (a2))
% 7.32/1.70 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 7.32/1.70 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 7.32/1.70 inference('demod', [status(thm)],
% 7.32/1.70 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 7.32/1.70 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 7.32/1.70 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 7.32/1.70 zip_derived_cl1, zip_derived_cl1])).
% 7.32/1.70 thf(zip_derived_cl42, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl53, plain,
% 7.32/1.70 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 7.32/1.70 | ((a2) != (a2))
% 7.32/1.70 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 7.32/1.70 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl54, plain,
% 7.32/1.70 ((((divide @ (inverse @ a1) @ (inverse @ a1))
% 7.32/1.70 != (divide @ (inverse @ b1) @ (inverse @ b1)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 7.32/1.70 | ((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4))))),
% 7.32/1.70 inference('simplify', [status(thm)], [zip_derived_cl53])).
% 7.32/1.70 thf(zip_derived_cl76, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl128, plain,
% 7.32/1.70 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 7.32/1.70 inference('simplify_reflect+', [status(thm)],
% 7.32/1.70 [zip_derived_cl54, zip_derived_cl76])).
% 7.32/1.70 thf(zip_derived_cl220, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 (((divide @ a4 @ (divide @ (divide @ X0 @ X0) @ b4))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl128])).
% 7.32/1.70 thf(zip_derived_cl255, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @
% 7.32/1.70 (inverse @ (divide @ b3 @ (divide @ (divide @ X0 @ X0) @ c3)))))
% 7.32/1.70 | ((divide @ a4 @ (divide @ (divide @ X1 @ X1) @ b4))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4))))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl220])).
% 7.32/1.70 thf(zip_derived_cl257, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @
% 7.32/1.70 (inverse @
% 7.32/1.70 (divide @ b3 @
% 7.32/1.70 (divide @ (inverse @ c3) @ (inverse @ (divide @ X0 @ X0)))))))
% 7.32/1.70 | ((divide @ a4 @ (divide @ (divide @ X1 @ X1) @ b4))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4))))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl255])).
% 7.32/1.70 thf(zip_derived_cl264, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 (((divide @ a4 @
% 7.32/1.70 (divide @ (inverse @ b4) @ (inverse @ (divide @ X0 @ X0))))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @
% 7.32/1.70 (inverse @
% 7.32/1.70 (divide @ b3 @
% 7.32/1.70 (divide @ (inverse @ c3) @ (inverse @ (divide @ X1 @ X1))))))))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl257])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl272, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 (((divide @ a4 @
% 7.32/1.70 (divide @ (inverse @ b4) @ (inverse @ (divide @ X0 @ X0))))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 7.32/1.70 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3))))))),
% 7.32/1.70 inference('demod', [status(thm)],
% 7.32/1.70 [zip_derived_cl264, zip_derived_cl81, zip_derived_cl33,
% 7.32/1.70 zip_derived_cl33])).
% 7.32/1.70 thf(zip_derived_cl143, plain,
% 7.32/1.70 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl147, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X0 @ X1) = (divide @ (inverse @ X1) @ (inverse @ X0)))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl66])).
% 7.32/1.70 thf(zip_derived_cl195, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0)) = (divide @ X0 @ (inverse @ X1)))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl147])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl432, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0))
% 7.32/1.70 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X1)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl432, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0))
% 7.32/1.70 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X1)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl432, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0))
% 7.32/1.70 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X1)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl432, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0))
% 7.32/1.70 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X1)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl532, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 (((divide @ a4 @
% 7.32/1.70 (divide @ (inverse @ b4) @ (inverse @ (divide @ X0 @ X0))))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4)))
% 7.32/1.70 | ((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @
% 7.32/1.70 (divide @ c3 @ (divide @ (divide @ b3 @ b3) @ b3)) @
% 7.32/1.70 (divide @ (divide @ a3 @ a3) @ a3))))),
% 7.32/1.70 inference('demod', [status(thm)],
% 7.32/1.70 [zip_derived_cl272, zip_derived_cl432, zip_derived_cl432,
% 7.32/1.70 zip_derived_cl432, zip_derived_cl432])).
% 7.32/1.70 thf(zip_derived_cl533, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 (((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (divide @ (divide @ b3 @ b3) @ b3)) @
% 7.32/1.70 (divide @ (divide @ X0 @ X0) @ a3)))
% 7.32/1.70 | ((divide @ a4 @
% 7.32/1.70 (divide @ (inverse @ b4) @ (inverse @ (divide @ X1 @ X1))))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4))))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl532])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl33, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 7.32/1.70 thf(zip_derived_cl432, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X1 @ (inverse @ X0))
% 7.32/1.70 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X1)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl537, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 (((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (divide @ (divide @ b3 @ b3) @ b3)) @
% 7.32/1.70 (divide @ (divide @ X0 @ X0) @ a3)))
% 7.32/1.70 | ((divide @ b4 @ (divide @ (divide @ a4 @ a4) @ a4))
% 7.32/1.70 != (divide @ b4 @ (inverse @ a4))))),
% 7.32/1.70 inference('demod', [status(thm)],
% 7.32/1.70 [zip_derived_cl533, zip_derived_cl81, zip_derived_cl33,
% 7.32/1.70 zip_derived_cl33, zip_derived_cl432])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl538, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 ((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (divide @ (divide @ b3 @ b3) @ b3)) @
% 7.32/1.70 (divide @ (divide @ X0 @ X0) @ a3)))),
% 7.32/1.70 inference('simplify_reflect+', [status(thm)],
% 7.32/1.70 [zip_derived_cl537, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl858, plain,
% 7.32/1.70 (((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (divide @ (divide @ b3 @ b3) @ b3)) @
% 7.32/1.70 (inverse @ a3)))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl538])).
% 7.32/1.70 thf(zip_derived_cl1006, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 ((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (divide @ (divide @ X0 @ X0) @ b3)) @
% 7.32/1.70 (inverse @ a3)))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl858])).
% 7.32/1.70 thf(zip_derived_cl1013, plain,
% 7.32/1.70 (((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (inverse @ b3)) @ (inverse @ a3)))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl1006])).
% 7.32/1.70 thf(zip_derived_cl1024, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 ((divide @ c3 @
% 7.32/1.70 (divide @
% 7.32/1.70 (divide @ (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3)) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))) @
% 7.32/1.70 (divide @ b3 @ (divide @ (divide @ a3 @ a3) @ a3))))
% 7.32/1.70 != (divide @ (divide @ c3 @ (inverse @ b3)) @
% 7.32/1.70 (divide @ (divide @ X0 @ a3) @ X0)))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl1013])).
% 7.32/1.70 thf(zip_derived_cl68, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl159, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl143, plain,
% 7.32/1.70 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl924, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl143])).
% 7.32/1.70 thf(zip_derived_cl1059, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl924])).
% 7.32/1.70 thf(zip_derived_cl159, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl24])).
% 7.32/1.70 thf(zip_derived_cl1102, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.32/1.70 ((divide @ (divide @ X2 @ (divide @ X0 @ X1)) @ X2)
% 7.32/1.70 = (divide @ X1 @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl1059, zip_derived_cl159])).
% 7.32/1.70 thf(zip_derived_cl1920, plain,
% 7.32/1.70 (![X0 : $i]:
% 7.32/1.70 ((divide @ c3 @ (divide @ (divide @ (divide @ a3 @ a3) @ a3) @ b3))
% 7.32/1.70 != (divide @ (divide @ c3 @ (inverse @ b3)) @
% 7.32/1.70 (divide @ (divide @ X0 @ a3) @ X0)))),
% 7.32/1.70 inference('demod', [status(thm)],
% 7.32/1.70 [zip_derived_cl1024, zip_derived_cl1102])).
% 7.32/1.70 thf(zip_derived_cl3768, plain,
% 7.32/1.70 (((divide @ c3 @ (divide @ (divide @ (divide @ a3 @ a3) @ a3) @ b3))
% 7.32/1.70 != (divide @ c3 @ (divide @ (inverse @ b3) @ a3)))),
% 7.32/1.70 inference('sup-', [status(thm)], [zip_derived_cl3493, zip_derived_cl1920])).
% 7.32/1.70 thf(zip_derived_cl143, plain,
% 7.32/1.70 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl42])).
% 7.32/1.70 thf(zip_derived_cl147, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ X0 @ X1) = (divide @ (inverse @ X1) @ (inverse @ X0)))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl66])).
% 7.32/1.70 thf(zip_derived_cl194, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl147])).
% 7.32/1.70 thf(zip_derived_cl81, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 7.32/1.70 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl68])).
% 7.32/1.70 thf(zip_derived_cl358, plain,
% 7.32/1.70 (![X0 : $i, X1 : $i]:
% 7.32/1.70 ((divide @ (inverse @ X0) @ X1)
% 7.32/1.70 = (divide @ (divide @ (divide @ X1 @ X1) @ X1) @ X0))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl81])).
% 7.32/1.70 thf(zip_derived_cl3797, plain,
% 7.32/1.70 (((divide @ c3 @ (divide @ (divide @ (divide @ a3 @ a3) @ a3) @ b3))
% 7.32/1.70 != (divide @ c3 @ (divide @ (divide @ (divide @ a3 @ a3) @ a3) @ b3)))),
% 7.32/1.70 inference('demod', [status(thm)], [zip_derived_cl3768, zip_derived_cl358])).
% 7.32/1.70 thf(zip_derived_cl3798, plain, ($false),
% 7.32/1.70 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 7.32/1.70
% 7.32/1.70 % SZS output end Refutation
% 7.32/1.70
% 7.32/1.70
% 7.32/1.70 % Terminating...
% 7.98/1.79 % Runner terminated.
% 7.98/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------