%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP175-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8vKW2gAuHR true
% Computer : n021.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 04:35:54 PM UTC 2025
% Result : Unsatisfiable 10.80s 2.17s
% Output : Refutation 10.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP175-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8vKW2gAuHR true
% 0.12/0.35 % Computer : n021.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:11:23 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.80/2.17 % Solved by fo/fo13.sh.
% 10.80/2.17 % done 450 iterations in 1.391s
% 10.80/2.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.80/2.17 % SZS output start Refutation
% 10.80/2.17 thf(a_type, type, a: $i).
% 10.80/2.17 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 10.80/2.17 thf(identity_type, type, identity: $i).
% 10.80/2.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 10.80/2.17 thf(inverse_type, type, inverse: $i > $i).
% 10.80/2.17 thf(b_type, type, b: $i).
% 10.80/2.17 thf(prove_p06a, conjecture,
% 10.80/2.17 (( least_upper_bound @
% 10.80/2.17 identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) =
% 10.80/2.17 ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ))).
% 10.80/2.17 thf(zf_stmt_0, negated_conjecture,
% 10.80/2.17 (( least_upper_bound @
% 10.80/2.17 identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) !=
% 10.80/2.17 ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) )),
% 10.80/2.17 inference('cnf.neg', [status(esa)], [prove_p06a])).
% 10.80/2.17 thf(zip_derived_cl16, plain,
% 10.80/2.17 (((least_upper_bound @ identity @
% 10.80/2.17 (multiply @ (inverse @ a) @ (multiply @ b @ a)))
% 10.80/2.17 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 10.80/2.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.80/2.17 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 10.80/2.17 thf(zip_derived_cl1, plain,
% 10.80/2.17 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 10.80/2.17 inference('cnf', [status(esa)], [left_inverse])).
% 10.80/2.17 thf(monotony_lub1, axiom,
% 10.80/2.17 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 10.80/2.17 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 10.80/2.17 thf(zip_derived_cl11, plain,
% 10.80/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.80/2.17 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 10.80/2.17 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 10.80/2.17 inference('cnf', [status(esa)], [monotony_lub1])).
% 10.80/2.17 thf(zip_derived_cl74, plain,
% 10.80/2.17 (![X0 : $i, X1 : $i]:
% 10.80/2.17 ((multiply @ (inverse @ X1) @ (least_upper_bound @ X1 @ X0))
% 10.80/2.17 = (least_upper_bound @ identity @ (multiply @ (inverse @ X1) @ X0)))),
% 10.80/2.17 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 10.80/2.17 thf(zip_derived_cl2323, plain,
% 10.80/2.17 (((multiply @ (inverse @ a) @
% 10.80/2.17 (least_upper_bound @ a @ (multiply @ b @ a)))
% 10.80/2.17 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 10.80/2.17 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl74])).
% 10.80/2.17 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 10.80/2.17 thf(zip_derived_cl0, plain,
% 10.80/2.17 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 10.80/2.17 inference('cnf', [status(esa)], [left_identity])).
% 10.80/2.17 thf(monotony_lub2, axiom,
% 10.80/2.17 (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 10.80/2.17 ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 10.80/2.17 thf(zip_derived_cl13, plain,
% 10.80/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.80/2.17 ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 10.80/2.17 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 10.80/2.17 inference('cnf', [status(esa)], [monotony_lub2])).
% 10.80/2.17 thf(zip_derived_cl106, plain,
% 10.80/2.17 (![X0 : $i, X1 : $i]:
% 10.80/2.17 ((multiply @ (least_upper_bound @ identity @ X1) @ X0)
% 10.80/2.17 = (least_upper_bound @ X0 @ (multiply @ X1 @ X0)))),
% 10.80/2.17 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 10.80/2.17 thf(p06a_1, axiom, (( least_upper_bound @ identity @ b ) = ( b ))).
% 10.80/2.17 thf(zip_derived_cl15, plain, (((least_upper_bound @ identity @ b) = (b))),
% 10.80/2.17 inference('cnf', [status(esa)], [p06a_1])).
% 10.80/2.17 thf(zip_derived_cl3910, plain,
% 10.80/2.17 (((multiply @ (inverse @ a) @ (multiply @ b @ a))
% 10.80/2.17 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 10.80/2.17 inference('demod', [status(thm)],
% 10.80/2.17 [zip_derived_cl2323, zip_derived_cl106, zip_derived_cl15])).
% 10.80/2.17 thf(zip_derived_cl3911, plain, ($false),
% 10.80/2.17 inference('simplify', [status(thm)], [zip_derived_cl3910])).
% 10.80/2.17
% 10.80/2.17 % SZS output end Refutation
% 10.80/2.17
% 10.80/2.17
% 10.80/2.17 % Terminating...
% 11.48/2.27 % Runner terminated.
% 11.48/2.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------