%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP175-4 : 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.yT428hHn7T true
% Computer : n012.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 04:35:55 PM UTC 2025
% Result : Unsatisfiable 5.60s 1.39s
% Output : Refutation 5.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP175-4 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yT428hHn7T true
% 0.13/0.34 % Computer : n012.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 14:22:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.60/1.39 % Solved by fo/fo13.sh.
% 5.60/1.39 % done 384 iterations in 0.609s
% 5.60/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.60/1.39 % SZS output start Refutation
% 5.60/1.39 thf(a_type, type, a: $i).
% 5.60/1.39 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 5.60/1.39 thf(identity_type, type, identity: $i).
% 5.60/1.39 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.60/1.39 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 5.60/1.39 thf(inverse_type, type, inverse: $i > $i).
% 5.60/1.39 thf(b_type, type, b: $i).
% 5.60/1.39 thf(prove_p06d, conjecture,
% 5.60/1.39 (( least_upper_bound @
% 5.60/1.39 identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) =
% 5.60/1.39 ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ))).
% 5.60/1.39 thf(zf_stmt_0, negated_conjecture,
% 5.60/1.39 (( least_upper_bound @
% 5.60/1.39 identity @ ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) ) ) !=
% 5.60/1.39 ( multiply @ ( inverse @ a ) @ ( multiply @ b @ a ) )),
% 5.60/1.39 inference('cnf.neg', [status(esa)], [prove_p06d])).
% 5.60/1.39 thf(zip_derived_cl16, plain,
% 5.60/1.39 (((least_upper_bound @ identity @
% 5.60/1.39 (multiply @ (inverse @ a) @ (multiply @ b @ a)))
% 5.60/1.39 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 5.60/1.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.60/1.39 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 5.60/1.39 thf(zip_derived_cl1, plain,
% 5.60/1.39 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.60/1.39 inference('cnf', [status(esa)], [left_inverse])).
% 5.60/1.39 thf(monotony_lub1, axiom,
% 5.60/1.39 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 5.60/1.39 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 5.60/1.39 thf(zip_derived_cl11, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.60/1.39 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 5.60/1.39 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 5.60/1.39 inference('cnf', [status(esa)], [monotony_lub1])).
% 5.60/1.39 thf(zip_derived_cl74, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((multiply @ (inverse @ X1) @ (least_upper_bound @ X1 @ X0))
% 5.60/1.39 = (least_upper_bound @ identity @ (multiply @ (inverse @ X1) @ X0)))),
% 5.60/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 5.60/1.39 thf(zip_derived_cl2378, plain,
% 5.60/1.39 (((multiply @ (inverse @ a) @
% 5.60/1.39 (least_upper_bound @ a @ (multiply @ b @ a)))
% 5.60/1.39 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 5.60/1.39 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl74])).
% 5.60/1.39 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 5.60/1.39 thf(zip_derived_cl0, plain,
% 5.60/1.39 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.60/1.39 inference('cnf', [status(esa)], [left_identity])).
% 5.60/1.39 thf(monotony_lub2, axiom,
% 5.60/1.39 (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 5.60/1.39 ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 5.60/1.39 thf(zip_derived_cl13, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.60/1.39 ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 5.60/1.39 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 5.60/1.39 inference('cnf', [status(esa)], [monotony_lub2])).
% 5.60/1.39 thf(zip_derived_cl90, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((multiply @ (least_upper_bound @ identity @ X1) @ X0)
% 5.60/1.39 = (least_upper_bound @ X0 @ (multiply @ X1 @ X0)))),
% 5.60/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 5.60/1.39 thf(p06d_1, axiom, (( greatest_lower_bound @ identity @ b ) = ( identity ))).
% 5.60/1.39 thf(zip_derived_cl15, plain,
% 5.60/1.39 (((greatest_lower_bound @ identity @ b) = (identity))),
% 5.60/1.39 inference('cnf', [status(esa)], [p06d_1])).
% 5.60/1.39 thf(symmetry_of_glb, axiom,
% 5.60/1.39 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 5.60/1.39 thf(zip_derived_cl3, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 5.60/1.39 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 5.60/1.39 thf(lub_absorbtion, axiom,
% 5.60/1.39 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 5.60/1.39 thf(zip_derived_cl9, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 5.60/1.39 inference('cnf', [status(esa)], [lub_absorbtion])).
% 5.60/1.39 thf(zip_derived_cl21, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 5.60/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 5.60/1.39 thf(zip_derived_cl119, plain, (((least_upper_bound @ b @ identity) = (b))),
% 5.60/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl21])).
% 5.60/1.39 thf(symmetry_of_lub, axiom,
% 5.60/1.39 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 5.60/1.39 thf(zip_derived_cl4, plain,
% 5.60/1.39 (![X0 : $i, X1 : $i]:
% 5.60/1.39 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 5.60/1.39 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 5.60/1.39 thf(zip_derived_cl137, plain, (((least_upper_bound @ identity @ b) = (b))),
% 5.60/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl4])).
% 5.60/1.39 thf(zip_derived_cl3258, plain,
% 5.60/1.39 (((multiply @ (inverse @ a) @ (multiply @ b @ a))
% 5.60/1.39 != (multiply @ (inverse @ a) @ (multiply @ b @ a)))),
% 5.60/1.39 inference('demod', [status(thm)],
% 5.60/1.39 [zip_derived_cl2378, zip_derived_cl90, zip_derived_cl137])).
% 5.60/1.39 thf(zip_derived_cl3259, plain, ($false),
% 5.60/1.39 inference('simplify', [status(thm)], [zip_derived_cl3258])).
% 5.60/1.39
% 5.60/1.39 % SZS output end Refutation
% 5.60/1.39
% 5.60/1.39
% 5.60/1.39 % Terminating...
% 5.60/1.45 % Runner terminated.
% 5.60/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------