%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP488-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.balO0pMMqa true
% Computer : n013.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 04:36:32 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP488-1 : TPTP v9.2.0. Released v2.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.balO0pMMqa true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:10:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo3_bce.sh.
% 0.57/0.81 % BCE start: 5
% 0.57/0.81 % BCE eliminated: 0
% 0.57/0.81 % PE start: 5
% 0.57/0.81 logic: eq
% 0.57/0.81 % PE eliminated: 0
% 0.57/0.81 % done 28 iterations in 0.054s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% 0.57/0.81 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.81 thf(identity_type, type, identity: $i).
% 0.57/0.81 thf(a2_type, type, a2: $i).
% 0.57/0.81 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.57/0.81 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.81 thf(prove_these_axioms_2, conjecture,
% 0.57/0.81 (( multiply @ identity @ a2 ) = ( a2 ))).
% 0.57/0.81 thf(zf_stmt_0, negated_conjecture, (( multiply @ identity @ a2 ) != ( a2 )),
% 0.57/0.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.57/0.81 thf(zip_derived_cl4, plain, (((multiply @ identity @ a2) != (a2))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(multiply, axiom,
% 0.57/0.81 (( multiply @ A @ B ) =
% 0.57/0.81 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.57/0.81 thf(zip_derived_cl1, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 ((multiply @ X1 @ X0)
% 0.57/0.81 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.57/0.81 inference('cnf', [status(esa)], [multiply])).
% 0.57/0.81 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.81 thf(zip_derived_cl5, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.81 thf(zip_derived_cl6, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.57/0.81 inference('demod', [status(thm)],
% 0.57/0.81 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl2])).
% 0.57/0.81 thf(identity, axiom,
% 0.57/0.81 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [identity])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [identity])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.81 inference('cnf', [status(esa)], [identity])).
% 0.57/0.81 thf(single_axiom, axiom,
% 0.57/0.81 (( double_divide @
% 0.57/0.81 A @
% 0.57/0.81 ( double_divide @
% 0.57/0.81 ( double_divide @
% 0.57/0.81 ( double_divide @
% 0.57/0.81 identity @
% 0.57/0.81 ( double_divide @
% 0.57/0.81 ( double_divide @ A @ identity ) @ ( double_divide @ B @ C ) ) ) @
% 0.57/0.81 B ) @
% 0.57/0.81 identity ) ) =
% 0.57/0.81 ( C ))).
% 0.57/0.81 thf(zip_derived_cl0, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 ((double_divide @ X1 @
% 0.57/0.81 (double_divide @
% 0.57/0.81 (double_divide @
% 0.57/0.81 (double_divide @ identity @
% 0.57/0.81 (double_divide @ (double_divide @ X1 @ identity) @
% 0.57/0.81 (double_divide @ X2 @ X0))) @
% 0.57/0.81 X2) @
% 0.57/0.81 identity))
% 0.57/0.81 = (X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.81 thf(zip_derived_cl2, plain,
% 0.57/0.81 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.81 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.81 thf(zip_derived_cl7, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 ((double_divide @ X1 @
% 0.57/0.81 (inverse @
% 0.57/0.81 (double_divide @
% 0.57/0.81 (double_divide @ identity @
% 0.57/0.81 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.57/0.81 X2)))
% 0.57/0.81 = (X0))),
% 0.57/0.81 inference('demod', [status(thm)],
% 0.57/0.81 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.57/0.81 thf(zip_derived_cl11, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i]:
% 0.57/0.81 ((double_divide @ X1 @
% 0.57/0.81 (inverse @
% 0.57/0.81 (double_divide @
% 0.57/0.81 (double_divide @ identity @
% 0.57/0.81 (double_divide @ (inverse @ X1) @ identity)) @
% 0.57/0.81 X0)))
% 0.57/0.81 = (inverse @ X0))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.82 thf(zip_derived_cl13, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl17, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @ (inverse @ identity))
% 0.57/0.82 = (inverse @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X0))))))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.82 thf(zip_derived_cl13, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl16, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (inverse @ (double_divide @ identity @ (inverse @ (inverse @ X0))))))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl31, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @ (double_divide @ X0 @ (inverse @ identity)))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl16])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.57/0.82 X2)))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl37, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ identity)) @ (inverse @ X0))))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl3, plain,
% 0.57/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.82 inference('cnf', [status(esa)], [identity])).
% 0.57/0.82 thf(zip_derived_cl42, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @
% 0.57/0.82 (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl46, plain,
% 0.57/0.82 (((double_divide @ identity @ (inverse @ identity))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl42])).
% 0.57/0.82 thf(zip_derived_cl3, plain,
% 0.57/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.82 inference('cnf', [status(esa)], [identity])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.57/0.82 X2)))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl9, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @ identity @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ (double_divide @ identity @ X0))))))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl13, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl42, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @
% 0.57/0.82 (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.57/0.82 = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl59, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ X0 @
% 0.57/0.82 (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.57/0.82 = (identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl52])).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.57/0.82 X2)))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl129, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ identity)) @
% 0.57/0.82 X0)))
% 0.57/0.82 = (inverse @ (double_divide @ identity @ (inverse @ X0))))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl7])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.82 thf(zip_derived_cl13, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl151, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ X0)
% 0.57/0.82 = (inverse @ (double_divide @ identity @ (inverse @ X0))))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl129, zip_derived_cl2, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl168, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ identity))) @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl151])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl3, plain,
% 0.57/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.57/0.82 inference('cnf', [status(esa)], [identity])).
% 0.57/0.82 thf(zip_derived_cl60, plain,
% 0.57/0.82 (((identity) = (double_divide @ identity @ identity))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl176, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ (double_divide @ identity @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl168, zip_derived_cl52, zip_derived_cl52,
% 0.57/0.82 zip_derived_cl60])).
% 0.57/0.82 thf(zip_derived_cl151, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ X0)
% 0.57/0.82 = (inverse @ (double_divide @ identity @ (inverse @ X0))))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl129, zip_derived_cl2, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl151, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ X0)
% 0.57/0.82 = (inverse @ (double_divide @ identity @ (inverse @ X0))))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl129, zip_derived_cl2, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl13, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.57/0.82 thf(zip_derived_cl62, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ identity @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @
% 0.57/0.82 (double_divide @ identity @ (inverse @ identity)) @ X0)))
% 0.57/0.82 = (inverse @ X0))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl13])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl2, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.57/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.57/0.82 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl63, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ identity @
% 0.57/0.82 (inverse @ (double_divide @ identity @ X0))) = (inverse @ X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl62, zip_derived_cl52, zip_derived_cl2,
% 0.57/0.82 zip_derived_cl52])).
% 0.57/0.82 thf(zip_derived_cl164, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ identity @ (inverse @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl63])).
% 0.57/0.82 thf(zip_derived_cl181, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (inverse @ (inverse @ (inverse @ X0))))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl164])).
% 0.57/0.82 thf(zip_derived_cl232, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((double_divide @ X1 @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @ (inverse @ X1) @ (double_divide @ identity @ X0))))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl9, zip_derived_cl176, zip_derived_cl181])).
% 0.57/0.82 thf(zip_derived_cl248, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ identity @
% 0.57/0.82 (inverse @
% 0.57/0.82 (double_divide @ identity @ (double_divide @ identity @ X0))))
% 0.57/0.82 = (X0))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl232])).
% 0.57/0.82 thf(zip_derived_cl176, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ (double_divide @ identity @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl168, zip_derived_cl52, zip_derived_cl52,
% 0.57/0.82 zip_derived_cl60])).
% 0.57/0.82 thf(zip_derived_cl176, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((inverse @ (double_divide @ identity @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl168, zip_derived_cl52, zip_derived_cl52,
% 0.57/0.82 zip_derived_cl60])).
% 0.57/0.82 thf(zip_derived_cl181, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ X0) = (inverse @ (inverse @ (inverse @ X0))))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl164])).
% 0.57/0.82 thf(zip_derived_cl164, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ((double_divide @ identity @ (inverse @ X0))
% 0.57/0.82 = (inverse @ (inverse @ X0)))),
% 0.57/0.82 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl63])).
% 0.57/0.82 thf(zip_derived_cl256, plain,
% 0.57/0.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.57/0.82 inference('demod', [status(thm)],
% 0.57/0.82 [zip_derived_cl248, zip_derived_cl176, zip_derived_cl176,
% 0.57/0.82 zip_derived_cl181, zip_derived_cl164])).
% 0.57/0.82 thf(zip_derived_cl260, plain, (((a2) != (a2))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl256])).
% 0.57/0.82 thf(zip_derived_cl261, plain, ($false),
% 0.57/0.82 inference('simplify', [status(thm)], [zip_derived_cl260])).
% 0.57/0.82
% 0.57/0.82 % SZS output end Refutation
% 0.57/0.82
% 0.57/0.82
% 0.57/0.82 % Terminating...
% 1.56/0.87 % Runner terminated.
% 1.56/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------