%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP487-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ner8C7Ngiy true
% Computer : n008.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 0.43s 0.96s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : GRP487-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ner8C7Ngiy true
% 0.08/0.38 % Computer : n008.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8042.1875MB
% 0.08/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Wed Oct 1 14:22:38 EDT 2025
% 0.08/0.38 % CPUTime :
% 0.08/0.38 % Running portfolio for 300 s
% 0.08/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.38 % Number of cores: 8
% 0.08/0.38 % Python version: Python 3.6.8
% 0.08/0.39 % Running in FO mode
% 0.41/0.72 % Total configuration time : 435
% 0.41/0.72 % Estimated wc time : 1092
% 0.41/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.96 % Solved by fo/fo3_bce.sh.
% 0.43/0.96 % BCE start: 5
% 0.43/0.96 % BCE eliminated: 0
% 0.43/0.96 % PE start: 5
% 0.43/0.96 logic: eq
% 0.43/0.96 % PE eliminated: 0
% 0.43/0.96 % done 11 iterations in 0.019s
% 0.43/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.96 % SZS output start Refutation
% 0.43/0.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.43/0.96 thf(identity_type, type, identity: $i).
% 0.43/0.96 thf(a1_type, type, a1: $i).
% 0.43/0.96 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.43/0.96 thf(inverse_type, type, inverse: $i > $i).
% 0.43/0.96 thf(identity, axiom,
% 0.43/0.96 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(single_axiom, axiom,
% 0.43/0.96 (( double_divide @
% 0.43/0.96 A @
% 0.43/0.96 ( double_divide @
% 0.43/0.96 ( double_divide @
% 0.43/0.96 ( double_divide @
% 0.43/0.96 identity @
% 0.43/0.96 ( double_divide @
% 0.43/0.96 ( double_divide @ A @ identity ) @ ( double_divide @ B @ C ) ) ) @
% 0.43/0.96 B ) @
% 0.43/0.96 identity ) ) =
% 0.43/0.96 ( C ))).
% 0.43/0.96 thf(zip_derived_cl0, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @
% 0.43/0.96 (double_divide @ (double_divide @ X1 @ identity) @
% 0.43/0.96 (double_divide @ X2 @ X0))) @
% 0.43/0.96 X2) @
% 0.43/0.96 identity))
% 0.43/0.96 = (X0))),
% 0.43/0.96 inference('cnf', [status(esa)], [single_axiom])).
% 0.43/0.96 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 0.43/0.96 thf(zip_derived_cl2, plain,
% 0.43/0.96 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.43/0.96 thf(zip_derived_cl2, plain,
% 0.43/0.96 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.43/0.96 thf(zip_derived_cl7, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @
% 0.43/0.96 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.43/0.96 X2)))
% 0.43/0.96 = (X0))),
% 0.43/0.96 inference('demod', [status(thm)],
% 0.43/0.96 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.43/0.96 thf(zip_derived_cl11, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @
% 0.43/0.96 (double_divide @ (inverse @ X1) @ identity)) @
% 0.43/0.96 X0)))
% 0.43/0.96 = (inverse @ X0))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.43/0.96 thf(zip_derived_cl2, plain,
% 0.43/0.96 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.43/0.96 thf(zip_derived_cl13, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.43/0.96 = (inverse @ X0))),
% 0.43/0.96 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.43/0.96 thf(zip_derived_cl17, plain,
% 0.43/0.96 (![X0 : $i]:
% 0.43/0.96 ((double_divide @ X0 @ (inverse @ identity))
% 0.43/0.96 = (inverse @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @ identity @ (inverse @ (inverse @ X0))))))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 0.43/0.96 thf(zip_derived_cl2, plain,
% 0.43/0.96 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.43/0.96 thf(zip_derived_cl13, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @ (inverse @ (inverse @ X1))) @ X0)))
% 0.43/0.96 = (inverse @ X0))),
% 0.43/0.96 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.43/0.96 thf(zip_derived_cl16, plain,
% 0.43/0.96 (![X0 : $i]:
% 0.43/0.96 ((double_divide @ X0 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (inverse @ (double_divide @ identity @ (inverse @ (inverse @ X0))))))
% 0.43/0.96 = (inverse @ identity))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.43/0.96 thf(zip_derived_cl31, plain,
% 0.43/0.96 (![X0 : $i]:
% 0.43/0.96 ((double_divide @ X0 @ (double_divide @ X0 @ (inverse @ identity)))
% 0.43/0.96 = (inverse @ identity))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl16])).
% 0.43/0.96 thf(zip_derived_cl7, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.96 ((double_divide @ X1 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @
% 0.43/0.96 (double_divide @ (inverse @ X1) @ (double_divide @ X2 @ X0))) @
% 0.43/0.96 X2)))
% 0.43/0.96 = (X0))),
% 0.43/0.96 inference('demod', [status(thm)],
% 0.43/0.96 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.43/0.96 thf(zip_derived_cl37, plain,
% 0.43/0.96 (![X0 : $i]:
% 0.43/0.96 ((double_divide @ X0 @
% 0.43/0.96 (inverse @
% 0.43/0.96 (double_divide @
% 0.43/0.96 (double_divide @ identity @ (inverse @ identity)) @ (inverse @ X0))))
% 0.43/0.96 = (inverse @ identity))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl7])).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(zip_derived_cl42, plain,
% 0.43/0.96 (![X0 : $i]:
% 0.43/0.96 ((double_divide @ X0 @
% 0.43/0.96 (inverse @ (double_divide @ identity @ (inverse @ X0))))
% 0.43/0.96 = (inverse @ identity))),
% 0.43/0.96 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 0.43/0.96 thf(zip_derived_cl46, plain,
% 0.43/0.96 (((double_divide @ identity @ (inverse @ identity))
% 0.43/0.96 = (inverse @ identity))),
% 0.43/0.96 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl42])).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(zip_derived_cl52, plain, (((identity) = (inverse @ identity))),
% 0.43/0.96 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.43/0.96 thf(prove_these_axioms_1, conjecture,
% 0.43/0.96 (( multiply @ ( inverse @ a1 ) @ a1 ) = ( identity ))).
% 0.43/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.43/0.96 (( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity )),
% 0.43/0.96 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.43/0.96 thf(zip_derived_cl4, plain,
% 0.43/0.96 (((multiply @ (inverse @ a1) @ a1) != (identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.96 thf(multiply, axiom,
% 0.43/0.96 (( multiply @ A @ B ) =
% 0.43/0.96 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 0.43/0.96 thf(zip_derived_cl1, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i]:
% 0.43/0.96 ((multiply @ X1 @ X0)
% 0.43/0.96 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [multiply])).
% 0.43/0.96 thf(zip_derived_cl2, plain,
% 0.43/0.96 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 0.43/0.96 inference('cnf', [status(esa)], [inverse])).
% 0.43/0.96 thf(zip_derived_cl5, plain,
% 0.43/0.96 (![X0 : $i, X1 : $i]:
% 0.43/0.96 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.43/0.96 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.43/0.96 thf(zip_derived_cl3, plain,
% 0.43/0.96 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 0.43/0.96 inference('cnf', [status(esa)], [identity])).
% 0.43/0.96 thf(zip_derived_cl6, plain, (((inverse @ identity) != (identity))),
% 0.43/0.96 inference('demod', [status(thm)],
% 0.43/0.96 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl3])).
% 0.43/0.96 thf(zip_derived_cl53, plain, ($false),
% 0.43/0.96 inference('simplify_reflect-', [status(thm)],
% 0.43/0.96 [zip_derived_cl52, zip_derived_cl6])).
% 0.43/0.96
% 0.43/0.96 % SZS output end Refutation
% 0.43/0.96
% 0.43/0.96
% 0.43/0.96 % Terminating...
% 1.74/1.08 % Runner terminated.
% 1.74/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------