TSTP Solution File: GRP594-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kl18yWW8Xb true

% Computer : n022.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 01:52:15 EDT 2023

% Result   : Unsatisfiable 1.35s 0.92s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kl18yWW8Xb true
% 0.14/0.36  % Computer : n022.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 : Mon Aug 28 20:19:24 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
% 0.21/0.37  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.31/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.92  % Solved by fo/fo7.sh.
% 1.35/0.92  % done 41 iterations in 0.116s
% 1.35/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.92  % SZS output start Refutation
% 1.35/0.92  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/0.92  thf(a2_type, type, a2: $i).
% 1.35/0.92  thf(inverse_type, type, inverse: $i > $i).
% 1.35/0.92  thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.35/0.92  thf(b2_type, type, b2: $i).
% 1.35/0.92  thf(single_axiom, axiom,
% 1.35/0.92    (( inverse @
% 1.35/0.92       ( double_divide @
% 1.35/0.92         ( double_divide @ A @ B ) @ 
% 1.35/0.92         ( inverse @
% 1.35/0.92           ( double_divide @ A @ ( inverse @ ( double_divide @ C @ B ) ) ) ) ) ) =
% 1.35/0.92     ( C ))).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl5, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92             (inverse @ (double_divide @ X0 @ X2))) @ 
% 1.35/0.92            X0))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl12, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ X1 @ 
% 1.35/0.92              (inverse @ 
% 1.35/0.92               (double_divide @ X3 @ (inverse @ (double_divide @ X0 @ X2))))) @ 
% 1.35/0.92             X0) @ 
% 1.35/0.92            (double_divide @ X3 @ X2)))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl5, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92             (inverse @ (double_divide @ X0 @ X2))) @ 
% 1.35/0.92            X0))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl10, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ (double_divide @ X0 @ X3) @ 
% 1.35/0.92              (inverse @ 
% 1.35/0.92               (double_divide @ (inverse @ (double_divide @ X1 @ X2)) @ X3))) @ 
% 1.35/0.92             X2) @ 
% 1.35/0.92            X0))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl34, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0) @ 
% 1.35/0.92           (inverse @ (double_divide @ X1 @ X0))) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.35/0.92  thf(zip_derived_cl5, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92             (inverse @ (double_divide @ X0 @ X2))) @ 
% 1.35/0.92            X0))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl44, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ X0 @ 
% 1.35/0.92             (inverse @ 
% 1.35/0.92              (double_divide @ X3 @ (inverse @ (double_divide @ X2 @ X1))))) @ 
% 1.35/0.92            X3))
% 1.35/0.92           = (double_divide @ (inverse @ (double_divide @ X0 @ X2)) @ X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl5, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92             (inverse @ (double_divide @ X0 @ X2))) @ 
% 1.35/0.92            X0))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl227, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (inverse @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))) @ X1)) @ 
% 1.35/0.92           X0) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl34, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0) @ 
% 1.35/0.92           (inverse @ (double_divide @ X1 @ X0))) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl56, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @ X2) @ X2) @ 
% 1.35/0.92            (inverse @ X0)))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl227, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (inverse @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))) @ X1)) @ 
% 1.35/0.92           X0) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl290, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ X0 @ X1)
% 1.35/0.92           = (double_divide @ (inverse @ (double_divide @ X2 @ X0)) @ 
% 1.35/0.92              (inverse @ (double_divide @ (inverse @ X2) @ X1))))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl227])).
% 1.35/0.92  thf(zip_derived_cl34, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (double_divide @ (inverse @ (double_divide @ X2 @ X1)) @ X0) @ 
% 1.35/0.92           (inverse @ (double_divide @ X1 @ X0))) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 1.35/0.92  thf(zip_derived_cl359, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ (double_divide @ X1 @ X0) @ 
% 1.35/0.92           (inverse @ 
% 1.35/0.92            (double_divide @ X1 @ 
% 1.35/0.92             (inverse @ (double_divide @ (inverse @ X2) @ X0)))))
% 1.35/0.92           = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl34])).
% 1.35/0.92  thf(zip_derived_cl12, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ X1 @ 
% 1.35/0.92              (inverse @ 
% 1.35/0.92               (double_divide @ X3 @ (inverse @ (double_divide @ X0 @ X2))))) @ 
% 1.35/0.92             X0) @ 
% 1.35/0.92            (double_divide @ X3 @ X2)))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl413, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X0 @ (inverse @ X0)) @ 
% 1.35/0.92            (double_divide @ X2 @ X1)))
% 1.35/0.92           = (double_divide @ X2 @ X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl359, zip_derived_cl12])).
% 1.35/0.92  thf(zip_derived_cl470, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X3 @ (inverse @ X3)) @ X0))
% 1.35/0.92           = (double_divide @ 
% 1.35/0.92              (inverse @ 
% 1.35/0.92               (double_divide @ 
% 1.35/0.92                (double_divide @ X0 @ (inverse @ (double_divide @ X2 @ X1))) @ 
% 1.35/0.92                X2)) @ 
% 1.35/0.92              X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl413])).
% 1.35/0.92  thf(zip_derived_cl227, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((double_divide @ 
% 1.35/0.92           (inverse @ 
% 1.35/0.92            (double_divide @ 
% 1.35/0.92             (double_divide @ X2 @ (inverse @ (double_divide @ X1 @ X0))) @ X1)) @ 
% 1.35/0.92           X0) = (X2))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl5])).
% 1.35/0.92  thf(zip_derived_cl487, plain,
% 1.35/0.92      (![X0 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X3 @ (inverse @ X3)) @ X0)) = (
% 1.35/0.92           X0))),
% 1.35/0.92      inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl227])).
% 1.35/0.92  thf(zip_derived_cl0, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X1 @ X2) @ 
% 1.35/0.92            (inverse @ 
% 1.35/0.92             (double_divide @ X1 @ (inverse @ (double_divide @ X0 @ X2))))))
% 1.35/0.92           = (X0))),
% 1.35/0.92      inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.92  thf(zip_derived_cl516, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ X0 @ 
% 1.35/0.92            (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl487, plain,
% 1.35/0.92      (![X0 : $i, X3 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ (double_divide @ X3 @ (inverse @ X3)) @ X0)) = (
% 1.35/0.92           X0))),
% 1.35/0.92      inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl227])).
% 1.35/0.92  thf(zip_derived_cl516, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ X0 @ 
% 1.35/0.92            (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.92           = (X1))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl0])).
% 1.35/0.92  thf(zip_derived_cl570, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 1.35/0.92           = (double_divide @ X1 @ (inverse @ X1)))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 1.35/0.92  thf(zip_derived_cl570, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((inverse @ (double_divide @ X0 @ (inverse @ X0)))
% 1.35/0.92           = (double_divide @ X1 @ (inverse @ X1)))),
% 1.35/0.92      inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 1.35/0.92  thf(prove_these_axioms_2, conjecture,
% 1.35/0.92    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 1.35/0.92  thf(zf_stmt_0, negated_conjecture,
% 1.35/0.92    (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 1.35/0.92    inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 1.35/0.92  thf(zip_derived_cl2, plain,
% 1.35/0.92      (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 1.35/0.92      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.92  thf(multiply, axiom,
% 1.35/0.92    (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.35/0.92  thf(zip_derived_cl1, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.35/0.92      inference('cnf', [status(esa)], [multiply])).
% 1.35/0.92  thf(zip_derived_cl1, plain,
% 1.35/0.92      (![X0 : $i, X1 : $i]:
% 1.35/0.92         ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.35/0.92      inference('cnf', [status(esa)], [multiply])).
% 1.35/0.92  thf(zip_derived_cl3, plain,
% 1.35/0.92      (((inverse @ 
% 1.35/0.92         (double_divide @ a2 @ 
% 1.35/0.92          (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 1.35/0.92         != (a2))),
% 1.35/0.92      inference('demod', [status(thm)],
% 1.35/0.92                [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 1.35/0.92  thf(zip_derived_cl667, plain,
% 1.35/0.92      (![X0 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ a2 @ (double_divide @ X0 @ (inverse @ X0))))
% 1.35/0.92           != (a2))),
% 1.35/0.92      inference('sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl3])).
% 1.35/0.92  thf(zip_derived_cl705, plain,
% 1.35/0.92      (![X0 : $i]:
% 1.35/0.92         ((inverse @ 
% 1.35/0.92           (double_divide @ a2 @ 
% 1.35/0.92            (inverse @ (double_divide @ X0 @ (inverse @ X0)))))
% 1.35/0.92           != (a2))),
% 1.35/0.92      inference('sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl667])).
% 1.35/0.92  thf(zip_derived_cl719, plain, (((a2) != (a2))),
% 1.35/0.92      inference('sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl705])).
% 1.35/0.92  thf(zip_derived_cl736, plain, ($false),
% 1.35/0.92      inference('simplify', [status(thm)], [zip_derived_cl719])).
% 1.35/0.92  
% 1.35/0.92  % SZS output end Refutation
% 1.35/0.92  
% 1.35/0.92  
% 1.35/0.92  % Terminating...
% 1.62/0.98  % Runner terminated.
% 1.62/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------