%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP186-4 : 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.ff6CIomkhJ true
% Computer : n020.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 04:35:57 PM UTC 2025
% Result : Unsatisfiable 6.64s 1.53s
% Output : Refutation 6.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP186-4 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ff6CIomkhJ true
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:05:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.64/1.53 % Solved by fo/fo6_bce.sh.
% 6.64/1.53 % BCE start: 19
% 6.64/1.53 % BCE eliminated: 0
% 6.64/1.53 % PE start: 19
% 6.64/1.53 logic: eq
% 6.64/1.53 % PE eliminated: 0
% 6.64/1.53 % done 197 iterations in 0.802s
% 6.64/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.64/1.53 % SZS output start Refutation
% 6.64/1.53 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 6.64/1.53 thf(identity_type, type, identity: $i).
% 6.64/1.53 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.64/1.53 thf(inverse_type, type, inverse: $i > $i).
% 6.64/1.53 thf(a_type, type, a: $i).
% 6.64/1.53 thf(b_type, type, b: $i).
% 6.64/1.53 thf(prove_p23x, conjecture,
% 6.64/1.53 (( least_upper_bound @ ( multiply @ a @ b ) @ identity ) =
% 6.64/1.53 ( multiply @ a @ ( least_upper_bound @ ( inverse @ a ) @ b ) ))).
% 6.64/1.53 thf(zf_stmt_0, negated_conjecture,
% 6.64/1.53 (( least_upper_bound @ ( multiply @ a @ b ) @ identity ) !=
% 6.64/1.53 ( multiply @ a @ ( least_upper_bound @ ( inverse @ a ) @ b ) )),
% 6.64/1.53 inference('cnf.neg', [status(esa)], [prove_p23x])).
% 6.64/1.53 thf(zip_derived_cl18, plain,
% 6.64/1.53 (((least_upper_bound @ (multiply @ a @ b) @ identity)
% 6.64/1.53 != (multiply @ a @ (least_upper_bound @ (inverse @ a) @ b)))),
% 6.64/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.64/1.53 thf(symmetry_of_lub, axiom,
% 6.64/1.53 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 6.64/1.53 thf(zip_derived_cl4, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i]:
% 6.64/1.53 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.64/1.53 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.64/1.53 thf(zip_derived_cl4, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i]:
% 6.64/1.53 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.64/1.53 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.64/1.53 thf(zip_derived_cl39, plain,
% 6.64/1.53 (((least_upper_bound @ identity @ (multiply @ a @ b))
% 6.64/1.53 != (multiply @ a @ (least_upper_bound @ b @ (inverse @ a))))),
% 6.64/1.53 inference('demod', [status(thm)],
% 6.64/1.53 [zip_derived_cl18, zip_derived_cl4, zip_derived_cl4])).
% 6.64/1.53 thf(p23x_2, axiom, (( inverse @ ( inverse @ X ) ) = ( X ))).
% 6.64/1.53 thf(zip_derived_cl16, plain,
% 6.64/1.53 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.64/1.53 inference('cnf', [status(esa)], [p23x_2])).
% 6.64/1.53 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 6.64/1.53 thf(zip_derived_cl1, plain,
% 6.64/1.53 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.64/1.53 inference('cnf', [status(esa)], [left_inverse])).
% 6.64/1.53 thf(zip_derived_cl23, plain,
% 6.64/1.53 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.64/1.53 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 6.64/1.53 thf(monotony_lub1, axiom,
% 6.64/1.53 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 6.64/1.53 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 6.64/1.53 thf(zip_derived_cl11, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.64/1.53 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 6.64/1.53 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 6.64/1.53 inference('cnf', [status(esa)], [monotony_lub1])).
% 6.64/1.53 thf(zip_derived_cl97, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i]:
% 6.64/1.53 ((multiply @ X0 @ (least_upper_bound @ X1 @ (inverse @ X0)))
% 6.64/1.53 = (least_upper_bound @ (multiply @ X0 @ X1) @ identity))),
% 6.64/1.53 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl11])).
% 6.64/1.53 thf(zip_derived_cl4, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i]:
% 6.64/1.53 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 6.64/1.53 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 6.64/1.53 thf(zip_derived_cl109, plain,
% 6.64/1.53 (![X0 : $i, X1 : $i]:
% 6.64/1.53 ((multiply @ X0 @ (least_upper_bound @ X1 @ (inverse @ X0)))
% 6.64/1.53 = (least_upper_bound @ identity @ (multiply @ X0 @ X1)))),
% 6.64/1.53 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl4])).
% 6.64/1.53 thf(zip_derived_cl2663, plain,
% 6.64/1.53 (((least_upper_bound @ identity @ (multiply @ a @ b))
% 6.64/1.53 != (least_upper_bound @ identity @ (multiply @ a @ b)))),
% 6.64/1.53 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl109])).
% 6.64/1.53 thf(zip_derived_cl2664, plain, ($false),
% 6.64/1.53 inference('simplify', [status(thm)], [zip_derived_cl2663])).
% 6.64/1.53
% 6.64/1.53 % SZS output end Refutation
% 6.64/1.53
% 6.64/1.53
% 6.64/1.53 % Terminating...
% 7.12/1.65 % Runner terminated.
% 7.12/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------