%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP010-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DvMrCYjNiO true
% Computer : n027.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 04:35:24 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP010-4 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DvMrCYjNiO true
% 0.13/0.34 % Computer : n027.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 : Wed Oct 1 14:13:38 EDT 2025
% 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % Solved by fo/fo3_bce.sh.
% 0.55/0.72 % BCE start: 5
% 0.55/0.72 % BCE eliminated: 0
% 0.55/0.72 % PE start: 5
% 0.55/0.72 logic: eq
% 0.55/0.72 % PE eliminated: 0
% 0.55/0.72 % done 12 iterations in 0.009s
% 0.55/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.72 % SZS output start Refutation
% 0.55/0.72 thf(identity_type, type, identity: $i).
% 0.55/0.72 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.72 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.72 thf(b_type, type, b: $i).
% 0.55/0.72 thf(c_type, type, c: $i).
% 0.55/0.72 thf(c_times_b_is_e, axiom, (( multiply @ c @ b ) = ( identity ))).
% 0.55/0.72 thf(zip_derived_cl3, plain, (((multiply @ c @ b) = (identity))),
% 0.55/0.72 inference('cnf', [status(esa)], [c_times_b_is_e])).
% 0.55/0.72 thf(associativity, axiom,
% 0.55/0.72 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.55/0.72 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.55/0.72 thf(zip_derived_cl0, plain,
% 0.55/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.72 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.72 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.72 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.72 thf(zip_derived_cl9, plain,
% 0.55/0.72 (![X0 : $i]:
% 0.55/0.72 ((multiply @ identity @ X0) = (multiply @ c @ (multiply @ b @ X0)))),
% 0.55/0.72 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.72 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.55/0.72 thf(zip_derived_cl1, plain,
% 0.55/0.72 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.72 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.72 thf(zip_derived_cl12, plain,
% 0.55/0.72 (![X0 : $i]: ((X0) = (multiply @ c @ (multiply @ b @ X0)))),
% 0.55/0.72 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.55/0.72 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.55/0.72 thf(zip_derived_cl2, plain,
% 0.55/0.72 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.72 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.72 thf(zip_derived_cl0, plain,
% 0.55/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.72 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.55/0.72 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.55/0.72 inference('cnf', [status(esa)], [associativity])).
% 0.55/0.72 thf(zip_derived_cl8, plain,
% 0.55/0.72 (![X0 : $i, X1 : $i]:
% 0.55/0.72 ((multiply @ identity @ X0)
% 0.55/0.72 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.72 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.55/0.72 thf(zip_derived_cl1, plain,
% 0.55/0.72 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.72 inference('cnf', [status(esa)], [left_identity])).
% 0.55/0.72 thf(zip_derived_cl11, plain,
% 0.55/0.72 (![X0 : $i, X1 : $i]:
% 0.55/0.72 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.55/0.72 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.55/0.72 thf(zip_derived_cl22, plain,
% 0.55/0.72 (![X0 : $i]: ((multiply @ b @ X0) = (multiply @ (inverse @ c) @ X0))),
% 0.55/0.72 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 0.55/0.72 thf(zip_derived_cl2, plain,
% 0.55/0.72 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.55/0.72 inference('cnf', [status(esa)], [left_inverse])).
% 0.55/0.72 thf(zip_derived_cl36, plain, (((multiply @ b @ c) = (identity))),
% 0.55/0.72 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 0.55/0.72 thf(prove_b_times_c_is_e, conjecture, (( multiply @ b @ c ) = ( identity ))).
% 0.55/0.72 thf(zf_stmt_0, negated_conjecture, (( multiply @ b @ c ) != ( identity )),
% 0.55/0.72 inference('cnf.neg', [status(esa)], [prove_b_times_c_is_e])).
% 0.55/0.72 thf(zip_derived_cl4, plain, (((multiply @ b @ c) != (identity))),
% 0.55/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.72 thf(zip_derived_cl40, plain, ($false),
% 0.55/0.72 inference('simplify_reflect-', [status(thm)],
% 0.55/0.72 [zip_derived_cl36, zip_derived_cl4])).
% 0.55/0.72
% 0.55/0.72 % SZS output end Refutation
% 0.55/0.72
% 0.55/0.72
% 0.55/0.72 % Terminating...
% 0.61/0.84 % Runner terminated.
% 0.61/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------