TSTP Solution File: GRP580-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e8dbZO921b true
% Computer : n014.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 01:52:11 EDT 2023
% Result : Unsatisfiable 0.16s 0.82s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP580-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e8dbZO921b true
% 0.09/0.31 % Computer : n014.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Aug 28 22:44:45 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.32 % Python version: Python 3.6.8
% 0.09/0.32 % Running in FO mode
% 0.16/0.58 % Total configuration time : 435
% 0.16/0.58 % Estimated wc time : 1092
% 0.16/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.82 % Solved by fo/fo3_bce.sh.
% 0.16/0.82 % BCE start: 5
% 0.16/0.82 % BCE eliminated: 0
% 0.16/0.82 % PE start: 5
% 0.16/0.82 logic: eq
% 0.16/0.82 % PE eliminated: 0
% 0.16/0.82 % done 48 iterations in 0.093s
% 0.16/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.82 % SZS output start Refutation
% 0.16/0.82 thf(identity_type, type, identity: $i).
% 0.16/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.16/0.82 thf(b_type, type, b: $i).
% 0.16/0.82 thf(a_type, type, a: $i).
% 0.16/0.82 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.16/0.82 thf(inverse_type, type, inverse: $i > $i).
% 0.16/0.82 thf(prove_these_axioms_4, conjecture,
% 0.16/0.82 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.16/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.16/0.82 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.16/0.82 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.16/0.82 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.16/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.16/0.82 thf(multiply, axiom,
% 0.16/0.82 (( multiply @ A @ B ) =
% 0.16/0.82 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.16/0.82 thf(zip_derived_cl1, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((multiply @ X1 @ X0)
% 0.16/0.82 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [multiply])).
% 0.16/0.82 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl5, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl5, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl6, plain,
% 0.16/0.82 (((inverse @ (double_divide @ b @ a))
% 0.16/0.82 != (inverse @ (double_divide @ a @ b)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl5])).
% 0.16/0.82 thf(identity, axiom,
% 0.16/0.82 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(single_axiom, axiom,
% 0.16/0.82 (( double_divide @
% 0.16/0.82 ( double_divide @
% 0.16/0.82 A @
% 0.16/0.82 ( double_divide @
% 0.16/0.82 ( double_divide @ ( double_divide @ B @ A ) @ C ) @
% 0.16/0.82 ( double_divide @ B @ identity ) ) ) @
% 0.16/0.82 ( double_divide @ identity @ identity ) ) =
% 0.16/0.82 ( C ))).
% 0.16/0.82 thf(zip_derived_cl0, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ X2 @ X1) @ X0) @
% 0.16/0.82 (double_divide @ X2 @ identity))) @
% 0.16/0.82 (double_divide @ identity @ identity)) = (X0))),
% 0.16/0.82 inference('cnf', [status(esa)], [single_axiom])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl7, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X2))) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl13, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))) @
% 0.16/0.82 (inverse @ identity)) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl7, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X2))) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl12, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X0 @
% 0.16/0.82 (double_divide @ (inverse @ (double_divide @ X1 @ X0)) @
% 0.16/0.82 (inverse @ X1))) @
% 0.16/0.82 (inverse @ identity)) = (identity))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 0.16/0.82 thf(zip_derived_cl7, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X2))) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl27, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @ (double_divide @ X1 @ identity) @
% 0.16/0.82 (inverse @ identity))
% 0.16/0.82 = (double_divide @
% 0.16/0.82 (inverse @ (double_divide @ X0 @ (double_divide @ identity @ X1))) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl13, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))) @
% 0.16/0.82 (inverse @ identity)) = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.16/0.82 thf(zip_derived_cl21, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((double_divide @ (double_divide @ X0 @ identity) @
% 0.16/0.82 (inverse @ identity)) = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl22, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((double_divide @ (inverse @ X0) @ (inverse @ identity))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl35, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @ (double_divide @ identity @ X1))
% 0.16/0.82 = (double_divide @
% 0.16/0.82 (inverse @ (double_divide @ X0 @ (double_divide @ identity @ X1))) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl22])).
% 0.16/0.82 thf(zip_derived_cl41, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (double_divide @ identity @ (inverse @ identity)))
% 0.16/0.82 = (double_divide @ (inverse @ (double_divide @ X0 @ identity)) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl35])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl43, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ identity)
% 0.16/0.82 = (double_divide @ (inverse @ (inverse @ X0)) @ (inverse @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl41, zip_derived_cl3, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl35, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @ (double_divide @ identity @ X1))
% 0.16/0.82 = (double_divide @
% 0.16/0.82 (inverse @ (double_divide @ X0 @ (double_divide @ identity @ X1))) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl27, zip_derived_cl2, zip_derived_cl22])).
% 0.16/0.82 thf(zip_derived_cl40, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (double_divide @ identity @ identity))
% 0.16/0.82 = (double_divide @
% 0.16/0.82 (inverse @ (double_divide @ X0 @ (inverse @ identity))) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl35])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl42, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ identity))
% 0.16/0.82 = (double_divide @
% 0.16/0.82 (inverse @ (double_divide @ X0 @ (inverse @ identity))) @
% 0.16/0.82 (inverse @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl61, plain,
% 0.16/0.82 (((inverse @ (inverse @ identity))
% 0.16/0.82 = (double_divide @ (inverse @ (inverse @ identity)) @
% 0.16/0.82 (inverse @ (inverse @ (inverse @ identity)))))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl63, plain,
% 0.16/0.82 (((inverse @ (inverse @ identity)) = (identity))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl22, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((double_divide @ (inverse @ X0) @ (inverse @ identity))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl69, plain,
% 0.16/0.82 (((double_divide @ identity @ (inverse @ identity))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ (inverse @ identity))))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl22])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl3, plain,
% 0.16/0.82 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.16/0.82 inference('cnf', [status(esa)], [identity])).
% 0.16/0.82 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl69, zip_derived_cl3, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl86, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))))
% 0.16/0.82 = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl13, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl113, plain,
% 0.16/0.82 (((inverse @
% 0.16/0.82 (double_divide @ a @ (double_divide @ identity @ (inverse @ b))))
% 0.16/0.82 != (inverse @ (double_divide @ a @ b)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl86])).
% 0.16/0.82 thf(zip_derived_cl22, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((double_divide @ (inverse @ X0) @ (inverse @ identity))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl69, zip_derived_cl3, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl69, zip_derived_cl3, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl63, plain,
% 0.16/0.82 (((inverse @ (inverse @ identity)) = (identity))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl7, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ X2 @ X1) @ X0) @ (inverse @ X2))) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl73, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @
% 0.16/0.82 (double_divide @ (double_divide @ (inverse @ identity) @ X1) @ X0) @
% 0.16/0.82 identity)) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl7])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl80, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((double_divide @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (inverse @
% 0.16/0.82 (double_divide @ (double_divide @ (inverse @ identity) @ X1) @ X0))) @
% 0.16/0.82 (inverse @ identity)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl69, zip_derived_cl3, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl86, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))))
% 0.16/0.82 = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl13, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl129, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (double_divide @ identity @ (inverse @ (inverse @ X0)))))
% 0.16/0.82 = (inverse @ (double_divide @ (double_divide @ identity @ X0) @ X1)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl86])).
% 0.16/0.82 thf(zip_derived_cl86, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))))
% 0.16/0.82 = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl13, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl226, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @ (double_divide @ (double_divide @ identity @ X1) @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ (inverse @ X1) @ X0)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl86])).
% 0.16/0.82 thf(zip_derived_cl77, plain, (((identity) = (inverse @ identity))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl69, zip_derived_cl3, zip_derived_cl3])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl350, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X1 @
% 0.16/0.82 (inverse @ (double_divide @ (inverse @ X1) @ X0))))
% 0.16/0.82 = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl80, zip_derived_cl77, zip_derived_cl226,
% 0.16/0.82 zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl384, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ identity @
% 0.16/0.82 (inverse @ (double_divide @ identity @ X0))))
% 0.16/0.82 = (X0))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl350])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl86, plain,
% 0.16/0.82 (![X0 : $i, X1 : $i]:
% 0.16/0.82 ((inverse @
% 0.16/0.82 (double_divide @ X0 @ (double_divide @ identity @ (inverse @ X1))))
% 0.16/0.82 = (inverse @ (double_divide @ X1 @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl13, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl125, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.16/0.82 = (inverse @ (double_divide @ X0 @ identity)))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl86])).
% 0.16/0.82 thf(zip_derived_cl87, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ X0))
% 0.16/0.82 = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl22, zip_derived_cl77, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl2, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.16/0.82 inference('cnf', [status(esa)], [inverse])).
% 0.16/0.82 thf(zip_derived_cl135, plain,
% 0.16/0.82 (![X0 : $i]:
% 0.16/0.82 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 0.16/0.82 = (inverse @ (inverse @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl125, zip_derived_cl87, zip_derived_cl2])).
% 0.16/0.82 thf(zip_derived_cl390, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl384, zip_derived_cl87, zip_derived_cl87,
% 0.16/0.82 zip_derived_cl135])).
% 0.16/0.82 thf(zip_derived_cl397, plain,
% 0.16/0.82 (![X0 : $i]: ((X0) = (inverse @ (double_divide @ identity @ X0)))),
% 0.16/0.82 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl390])).
% 0.16/0.82 thf(zip_derived_cl390, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl384, zip_derived_cl87, zip_derived_cl87,
% 0.16/0.82 zip_derived_cl135])).
% 0.16/0.82 thf(zip_derived_cl439, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 0.16/0.82 inference('sup+', [status(thm)], [zip_derived_cl397, zip_derived_cl390])).
% 0.16/0.82 thf(zip_derived_cl390, plain,
% 0.16/0.82 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl384, zip_derived_cl87, zip_derived_cl87,
% 0.16/0.82 zip_derived_cl135])).
% 0.16/0.82 thf(zip_derived_cl456, plain,
% 0.16/0.82 (((inverse @ (double_divide @ a @ b))
% 0.16/0.82 != (inverse @ (double_divide @ a @ b)))),
% 0.16/0.82 inference('demod', [status(thm)],
% 0.16/0.82 [zip_derived_cl113, zip_derived_cl439, zip_derived_cl390])).
% 0.16/0.82 thf(zip_derived_cl457, plain, ($false),
% 0.16/0.82 inference('simplify', [status(thm)], [zip_derived_cl456])).
% 0.16/0.82
% 0.16/0.82 % SZS output end Refutation
% 0.16/0.82
% 0.16/0.82
% 0.16/0.83 % Terminating...
% 1.52/0.91 % Runner terminated.
% 1.52/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------