TSTP Solution File: GRP614-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP614-1 : 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.yrb2dJSHny true
% Computer : n003.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 01:52:19 EDT 2023
% Result : Unsatisfiable 0.55s 0.79s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP614-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yrb2dJSHny true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:23:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79 % Solved by fo/fo7.sh.
% 0.55/0.79 % done 44 iterations in 0.040s
% 0.55/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.79 % SZS output start Refutation
% 0.55/0.79 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.79 thf(a2_type, type, a2: $i).
% 0.55/0.79 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.79 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.55/0.79 thf(b2_type, type, b2: $i).
% 0.55/0.79 thf(single_axiom, axiom,
% 0.55/0.79 (( double_divide @
% 0.55/0.79 ( inverse @
% 0.55/0.79 ( double_divide @
% 0.55/0.79 ( inverse @ ( double_divide @ A @ ( inverse @ B ) ) ) @ C ) ) @
% 0.55/0.79 ( double_divide @ A @ C ) ) =
% 0.55/0.79 ( B ))).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl4, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (inverse @ X1))) @
% 0.55/0.79 (double_divide @ X3 @ X2))) @
% 0.55/0.79 X0) = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl4, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X3 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (inverse @ X1))) @
% 0.55/0.79 (double_divide @ X3 @ X2))) @
% 0.55/0.79 X0) = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl26, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X3 @ (inverse @ (inverse @ X1)))) @
% 0.55/0.79 X2)) @
% 0.55/0.79 (double_divide @ X3 @ X2)))) @
% 0.55/0.79 X0) = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl31, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.55/0.79 = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl42, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl31, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X0) @ (inverse @ X1))) @ X0)
% 0.55/0.79 = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl63, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @
% 0.55/0.79 (inverse @ X1))) @
% 0.55/0.79 (inverse @ X0))) @
% 0.55/0.79 X0) = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl77, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))) @ X0)
% 0.55/0.79 = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl170, plain,
% 0.55/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl0, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @
% 0.55/0.79 (inverse @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X1 @ (inverse @ X0))) @ X2)) @
% 0.55/0.79 (double_divide @ X1 @ X2)) = (X0))),
% 0.55/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.79 thf(zip_derived_cl5, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.55/0.79 (double_divide @ X2 @ (inverse @ X1))))
% 0.55/0.79 = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl67, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X2) @ X2)) @ (inverse @ X1))))
% 0.55/0.79 = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl79, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl187, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (inverse @ X0)) @
% 0.55/0.79 (double_divide @ X0 @ X1)) = (X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl79])).
% 0.55/0.79 thf(zip_derived_cl170, plain,
% 0.55/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl204, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ X0 @ (double_divide @ X0 @ X1)) = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl170])).
% 0.55/0.79 thf(zip_derived_cl54, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ (double_divide @ (inverse @ X1) @ X1)) @
% 0.55/0.79 (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 0.55/0.79 thf(zip_derived_cl170, plain,
% 0.55/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl42, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @ (inverse @ X1) @ X1)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 0.55/0.79 thf(zip_derived_cl79, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @
% 0.55/0.79 (double_divide @ (inverse @ X0) @ X1)) = (X1))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl93, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ (inverse @ X0) @ X0)
% 0.55/0.79 = (double_divide @ (inverse @ X1) @ X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl79])).
% 0.55/0.79 thf(zip_derived_cl189, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ X0 @ (inverse @ X0))
% 0.55/0.79 = (double_divide @ (inverse @ X1) @ X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.55/0.79 thf(prove_these_axioms_2, conjecture,
% 0.55/0.79 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.55/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.79 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.55/0.79 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.55/0.79 thf(zip_derived_cl2, plain,
% 0.55/0.79 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.79 thf(multiply, axiom,
% 0.55/0.79 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.55/0.79 thf(zip_derived_cl1, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.55/0.79 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.79 thf(zip_derived_cl1, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.55/0.79 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.79 thf(zip_derived_cl3, plain,
% 0.55/0.79 (((inverse @
% 0.55/0.79 (double_divide @ a2 @
% 0.55/0.79 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 0.55/0.79 != (a2))),
% 0.55/0.79 inference('demod', [status(thm)],
% 0.55/0.79 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.55/0.79 thf(zip_derived_cl245, plain,
% 0.55/0.79 (![X0 : $i]:
% 0.55/0.79 ((inverse @
% 0.55/0.79 (double_divide @ a2 @
% 0.55/0.79 (inverse @ (double_divide @ (inverse @ X0) @ X0))))
% 0.55/0.79 != (a2))),
% 0.55/0.79 inference('sup-', [status(thm)], [zip_derived_cl189, zip_derived_cl3])).
% 0.55/0.79 thf(zip_derived_cl189, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ X0 @ (inverse @ X0))
% 0.55/0.79 = (double_divide @ (inverse @ X1) @ X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.55/0.79 thf(zip_derived_cl274, plain,
% 0.55/0.79 (![X0 : $i]:
% 0.55/0.79 ((inverse @
% 0.55/0.79 (double_divide @ a2 @
% 0.55/0.79 (inverse @ (double_divide @ X0 @ (inverse @ X0)))))
% 0.55/0.79 != (a2))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl189])).
% 0.55/0.79 thf(zip_derived_cl276, plain,
% 0.55/0.79 (![X0 : $i]:
% 0.55/0.79 ((inverse @
% 0.55/0.79 (double_divide @ a2 @
% 0.55/0.79 (inverse @ (inverse @ (double_divide @ (inverse @ X0) @ X0)))))
% 0.55/0.79 != (a2))),
% 0.55/0.79 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl274])).
% 0.55/0.79 thf(zip_derived_cl189, plain,
% 0.55/0.79 (![X0 : $i, X1 : $i]:
% 0.55/0.79 ((double_divide @ X0 @ (inverse @ X0))
% 0.55/0.79 = (double_divide @ (inverse @ X1) @ X1))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl93])).
% 0.55/0.79 thf(zip_derived_cl170, plain,
% 0.55/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl279, plain,
% 0.55/0.79 (![X0 : $i]:
% 0.55/0.79 ((inverse @
% 0.55/0.79 (double_divide @ a2 @ (double_divide @ X0 @ (inverse @ X0))))
% 0.55/0.79 != (a2))),
% 0.55/0.79 inference('demod', [status(thm)],
% 0.55/0.79 [zip_derived_cl276, zip_derived_cl189, zip_derived_cl170])).
% 0.55/0.79 thf(zip_derived_cl293, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.55/0.79 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl279])).
% 0.55/0.79 thf(zip_derived_cl170, plain,
% 0.55/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.55/0.79 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl54])).
% 0.55/0.79 thf(zip_derived_cl310, plain, (((a2) != (a2))),
% 0.55/0.79 inference('demod', [status(thm)], [zip_derived_cl293, zip_derived_cl170])).
% 0.55/0.79 thf(zip_derived_cl311, plain, ($false),
% 0.55/0.79 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 0.55/0.79
% 0.55/0.79 % SZS output end Refutation
% 0.55/0.79
% 0.55/0.79
% 0.55/0.79 % Terminating...
% 0.56/0.84 % Runner terminated.
% 0.56/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------