%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP167-5 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YqbJCxlite true
% Computer : n011.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 04:35:53 PM UTC 2025
% Result : Unsatisfiable 13.79s 2.57s
% Output : Refutation 13.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP167-5 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YqbJCxlite true
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:09:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 13.79/2.57 % Solved by fo/fo4.sh.
% 13.79/2.57 % done 1467 iterations in 1.792s
% 13.79/2.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.79/2.57 % SZS output start Refutation
% 13.79/2.57 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 13.79/2.57 thf(a_type, type, a: $i).
% 13.79/2.57 thf(positive_part_type, type, positive_part: $i > $i).
% 13.79/2.57 thf(negative_part_type, type, negative_part: $i > $i).
% 13.79/2.57 thf(identity_type, type, identity: $i).
% 13.79/2.57 thf(multiply_type, type, multiply: $i > $i > $i).
% 13.79/2.57 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 13.79/2.57 thf(inverse_type, type, inverse: $i > $i).
% 13.79/2.57 thf(prove_lat4, conjecture,
% 13.79/2.57 (( a ) = ( multiply @ ( positive_part @ a ) @ ( negative_part @ a ) ))).
% 13.79/2.57 thf(zf_stmt_0, negated_conjecture,
% 13.79/2.57 (( a ) != ( multiply @ ( positive_part @ a ) @ ( negative_part @ a ) )),
% 13.79/2.57 inference('cnf.neg', [status(esa)], [prove_lat4])).
% 13.79/2.57 thf(zip_derived_cl20, plain,
% 13.79/2.57 (((a) != (multiply @ (positive_part @ a) @ (negative_part @ a)))),
% 13.79/2.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.79/2.57 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 13.79/2.57 thf(zip_derived_cl1, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_inverse])).
% 13.79/2.57 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 13.79/2.57 thf(zip_derived_cl0, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_identity])).
% 13.79/2.57 thf(monotony_glb2, axiom,
% 13.79/2.57 (( multiply @ ( greatest_lower_bound @ Y @ Z ) @ X ) =
% 13.79/2.57 ( greatest_lower_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 13.79/2.57 thf(zip_derived_cl14, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.79/2.57 ((multiply @ (greatest_lower_bound @ X0 @ X2) @ X1)
% 13.79/2.57 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 13.79/2.57 (multiply @ X2 @ X1)))),
% 13.79/2.57 inference('cnf', [status(esa)], [monotony_glb2])).
% 13.79/2.57 thf(zip_derived_cl177, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((multiply @ (greatest_lower_bound @ X1 @ identity) @ X0)
% 13.79/2.57 = (greatest_lower_bound @ (multiply @ X1 @ X0) @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl14])).
% 13.79/2.57 thf(lat4_2, axiom,
% 13.79/2.57 (( negative_part @ X ) = ( greatest_lower_bound @ X @ identity ))).
% 13.79/2.57 thf(zip_derived_cl17, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((negative_part @ X0) = (greatest_lower_bound @ X0 @ identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [lat4_2])).
% 13.79/2.57 thf(zip_derived_cl182, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((multiply @ (negative_part @ X1) @ X0)
% 13.79/2.57 = (greatest_lower_bound @ (multiply @ X1 @ X0) @ X0))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl17])).
% 13.79/2.57 thf(zip_derived_cl15926, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((multiply @ (negative_part @ (inverse @ X0)) @ X0)
% 13.79/2.57 = (greatest_lower_bound @ identity @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl182])).
% 13.79/2.57 thf(zip_derived_cl17, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((negative_part @ X0) = (greatest_lower_bound @ X0 @ identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [lat4_2])).
% 13.79/2.57 thf(symmetry_of_glb, axiom,
% 13.79/2.57 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 13.79/2.57 thf(zip_derived_cl3, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 13.79/2.57 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 13.79/2.57 thf(zip_derived_cl24, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((negative_part @ X0) = (greatest_lower_bound @ identity @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 13.79/2.57 thf(zip_derived_cl15958, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((multiply @ (negative_part @ (inverse @ X0)) @ X0)
% 13.79/2.57 = (negative_part @ X0))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl15926, zip_derived_cl24])).
% 13.79/2.57 thf(zip_derived_cl1, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_inverse])).
% 13.79/2.57 thf(associativity, axiom,
% 13.79/2.57 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 13.79/2.57 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 13.79/2.57 thf(zip_derived_cl2, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.79/2.57 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 13.79/2.57 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 13.79/2.57 inference('cnf', [status(esa)], [associativity])).
% 13.79/2.57 thf(zip_derived_cl33, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((multiply @ identity @ X0)
% 13.79/2.57 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 13.79/2.57 thf(zip_derived_cl0, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_identity])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl16051, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((X0)
% 13.79/2.57 = (multiply @ (inverse @ (negative_part @ (inverse @ X0))) @
% 13.79/2.57 (negative_part @ X0)))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl15958, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl1, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_inverse])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl438, plain,
% 13.79/2.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl435, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl10278, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl435])).
% 13.79/2.57 thf(zip_derived_cl0, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_identity])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl437, plain,
% 13.79/2.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl35, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 13.79/2.57 thf(zip_derived_cl480, plain,
% 13.79/2.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl437, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl1, plain,
% 13.79/2.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [left_inverse])).
% 13.79/2.57 thf(zip_derived_cl1076, plain, (((inverse @ identity) = (identity))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl1])).
% 13.79/2.57 thf(p10, axiom,
% 13.79/2.57 (( inverse @ ( least_upper_bound @ A @ B ) ) =
% 13.79/2.57 ( greatest_lower_bound @ ( inverse @ A ) @ ( inverse @ B ) ))).
% 13.79/2.57 thf(zip_derived_cl15, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((inverse @ (least_upper_bound @ X0 @ X1))
% 13.79/2.57 = (greatest_lower_bound @ (inverse @ X0) @ (inverse @ X1)))),
% 13.79/2.57 inference('cnf', [status(esa)], [p10])).
% 13.79/2.57 thf(zip_derived_cl1085, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((inverse @ (least_upper_bound @ identity @ X0))
% 13.79/2.57 = (greatest_lower_bound @ identity @ (inverse @ X0)))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1076, zip_derived_cl15])).
% 13.79/2.57 thf(lat4_1, axiom,
% 13.79/2.57 (( positive_part @ X ) = ( least_upper_bound @ X @ identity ))).
% 13.79/2.57 thf(zip_derived_cl16, plain,
% 13.79/2.57 (![X0 : $i]: ((positive_part @ X0) = (least_upper_bound @ X0 @ identity))),
% 13.79/2.57 inference('cnf', [status(esa)], [lat4_1])).
% 13.79/2.57 thf(symmetry_of_lub, axiom,
% 13.79/2.57 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 13.79/2.57 thf(zip_derived_cl4, plain,
% 13.79/2.57 (![X0 : $i, X1 : $i]:
% 13.79/2.57 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 13.79/2.57 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 13.79/2.57 thf(zip_derived_cl38, plain,
% 13.79/2.57 (![X0 : $i]: ((positive_part @ X0) = (least_upper_bound @ identity @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl4])).
% 13.79/2.57 thf(zip_derived_cl24, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((negative_part @ X0) = (greatest_lower_bound @ identity @ X0))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 13.79/2.57 thf(zip_derived_cl1089, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((inverse @ (positive_part @ X0)) = (negative_part @ (inverse @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)],
% 13.79/2.57 [zip_derived_cl1085, zip_derived_cl38, zip_derived_cl24])).
% 13.79/2.57 thf(zip_derived_cl438, plain,
% 13.79/2.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl35])).
% 13.79/2.57 thf(zip_derived_cl1097, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((positive_part @ X0)
% 13.79/2.57 = (multiply @ (inverse @ (negative_part @ (inverse @ X0))) @
% 13.79/2.57 identity))),
% 13.79/2.57 inference('sup+', [status(thm)], [zip_derived_cl1089, zip_derived_cl438])).
% 13.79/2.57 thf(zip_derived_cl10363, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((positive_part @ X0) = (inverse @ (negative_part @ (inverse @ X0))))),
% 13.79/2.57 inference('sup+', [status(thm)],
% 13.79/2.57 [zip_derived_cl10278, zip_derived_cl1097])).
% 13.79/2.57 thf(zip_derived_cl16112, plain,
% 13.79/2.57 (![X0 : $i]:
% 13.79/2.57 ((X0) = (multiply @ (positive_part @ X0) @ (negative_part @ X0)))),
% 13.79/2.57 inference('demod', [status(thm)],
% 13.79/2.57 [zip_derived_cl16051, zip_derived_cl10363])).
% 13.79/2.57 thf(zip_derived_cl16138, plain, (((a) != (a))),
% 13.79/2.57 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl16112])).
% 13.79/2.57 thf(zip_derived_cl16139, plain, ($false),
% 13.79/2.57 inference('simplify', [status(thm)], [zip_derived_cl16138])).
% 13.79/2.57
% 13.79/2.57 % SZS output end Refutation
% 13.79/2.57
% 13.79/2.57
% 13.79/2.57 % Terminating...
% 14.38/2.66 % Runner terminated.
% 14.38/2.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------