%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP191-1 : 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.65BUbizefw true
% Computer : n003.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 04:35:58 PM UTC 2025
% Result : Unsatisfiable 42.81s 6.69s
% Output : Refutation 42.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP191-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.65BUbizefw true
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 14:09:38 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.44/0.56 % Total configuration time : 435
% 0.44/0.56 % Estimated wc time : 1092
% 0.44/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 42.81/6.69 % Solved by fo/fo5.sh.
% 42.81/6.69 % done 1911 iterations in 5.995s
% 42.81/6.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 42.81/6.69 % SZS output start Refutation
% 42.81/6.69 thf(b_type, type, b: $i).
% 42.81/6.69 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 42.81/6.69 thf(identity_type, type, identity: $i).
% 42.81/6.69 thf(multiply_type, type, multiply: $i > $i > $i).
% 42.81/6.69 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 42.81/6.69 thf(inverse_type, type, inverse: $i > $i).
% 42.81/6.69 thf(a_type, type, a: $i).
% 42.81/6.69 thf(p39b_1, axiom, (( greatest_lower_bound @ a @ b ) = ( b ))).
% 42.81/6.69 thf(zip_derived_cl15, plain, (((greatest_lower_bound @ a @ b) = (b))),
% 42.81/6.69 inference('cnf', [status(esa)], [p39b_1])).
% 42.81/6.69 thf(lub_absorbtion, axiom,
% 42.81/6.69 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 42.81/6.69 thf(zip_derived_cl9, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 42.81/6.69 inference('cnf', [status(esa)], [lub_absorbtion])).
% 42.81/6.69 thf(zip_derived_cl18, plain, (((least_upper_bound @ a @ b) = (a))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 42.81/6.69 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 42.81/6.69 thf(zip_derived_cl1, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 42.81/6.69 inference('cnf', [status(esa)], [left_inverse])).
% 42.81/6.69 thf(zip_derived_cl1, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 42.81/6.69 inference('cnf', [status(esa)], [left_inverse])).
% 42.81/6.69 thf(associativity, axiom,
% 42.81/6.69 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 42.81/6.69 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 42.81/6.69 thf(zip_derived_cl2, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.81/6.69 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 42.81/6.69 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 42.81/6.69 inference('cnf', [status(esa)], [associativity])).
% 42.81/6.69 thf(zip_derived_cl26, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((multiply @ identity @ X0)
% 42.81/6.69 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 42.81/6.69 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 42.81/6.69 thf(zip_derived_cl0, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 42.81/6.69 inference('cnf', [status(esa)], [left_identity])).
% 42.81/6.69 thf(zip_derived_cl28, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 42.81/6.69 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 42.81/6.69 thf(zip_derived_cl34, plain,
% 42.81/6.69 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl28])).
% 42.81/6.69 thf(zip_derived_cl28, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 42.81/6.69 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 42.81/6.69 thf(zip_derived_cl28, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 42.81/6.69 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 42.81/6.69 thf(zip_derived_cl31, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 42.81/6.69 thf(zip_derived_cl274, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 42.81/6.69 thf(zip_derived_cl34, plain,
% 42.81/6.69 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl28])).
% 42.81/6.69 thf(zip_derived_cl313, plain,
% 42.81/6.69 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl34])).
% 42.81/6.69 thf(zip_derived_cl1, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 42.81/6.69 inference('cnf', [status(esa)], [left_inverse])).
% 42.81/6.69 thf(zip_derived_cl322, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 42.81/6.69 thf(monotony_lub2, axiom,
% 42.81/6.69 (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 42.81/6.69 ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 42.81/6.69 thf(zip_derived_cl13, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.81/6.69 ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 42.81/6.69 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 42.81/6.69 inference('cnf', [status(esa)], [monotony_lub2])).
% 42.81/6.69 thf(zip_derived_cl384, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((multiply @ (least_upper_bound @ X0 @ X1) @ (inverse @ X0))
% 42.81/6.69 = (least_upper_bound @ identity @ (multiply @ X1 @ (inverse @ X0))))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl322, zip_derived_cl13])).
% 42.81/6.69 thf(zip_derived_cl23353, plain,
% 42.81/6.69 (((multiply @ a @ (inverse @ a))
% 42.81/6.69 = (least_upper_bound @ identity @ (multiply @ b @ (inverse @ a))))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl384])).
% 42.81/6.69 thf(zip_derived_cl322, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 42.81/6.69 thf(zip_derived_cl23410, plain,
% 42.81/6.69 (((identity)
% 42.81/6.69 = (least_upper_bound @ identity @ (multiply @ b @ (inverse @ a))))),
% 42.81/6.69 inference('demod', [status(thm)],
% 42.81/6.69 [zip_derived_cl23353, zip_derived_cl322])).
% 42.81/6.69 thf(zip_derived_cl28, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 42.81/6.69 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 42.81/6.69 thf(monotony_lub1, axiom,
% 42.81/6.69 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 42.81/6.69 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 42.81/6.69 thf(zip_derived_cl11, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.81/6.69 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 42.81/6.69 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 42.81/6.69 inference('cnf', [status(esa)], [monotony_lub1])).
% 42.81/6.69 thf(zip_derived_cl126, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.81/6.69 ((multiply @ (inverse @ X1) @
% 42.81/6.69 (least_upper_bound @ X2 @ (multiply @ X1 @ X0)))
% 42.81/6.69 = (least_upper_bound @ (multiply @ (inverse @ X1) @ X2) @ X0))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl11])).
% 42.81/6.69 thf(zip_derived_cl23472, plain,
% 42.81/6.69 (((multiply @ (inverse @ b) @ identity)
% 42.81/6.69 = (least_upper_bound @ (multiply @ (inverse @ b) @ identity) @
% 42.81/6.69 (inverse @ a)))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl23410, zip_derived_cl126])).
% 42.81/6.69 thf(zip_derived_cl274, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 42.81/6.69 thf(zip_derived_cl274, plain,
% 42.81/6.69 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 42.81/6.69 thf(symmetry_of_lub, axiom,
% 42.81/6.69 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 42.81/6.69 thf(zip_derived_cl4, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 42.81/6.69 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 42.81/6.69 thf(zip_derived_cl23489, plain,
% 42.81/6.69 (((inverse @ b) = (least_upper_bound @ (inverse @ a) @ (inverse @ b)))),
% 42.81/6.69 inference('demod', [status(thm)],
% 42.81/6.69 [zip_derived_cl23472, zip_derived_cl274, zip_derived_cl274,
% 42.81/6.69 zip_derived_cl4])).
% 42.81/6.69 thf(glb_absorbtion, axiom,
% 42.81/6.69 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 42.81/6.69 thf(zip_derived_cl10, plain,
% 42.81/6.69 (![X0 : $i, X1 : $i]:
% 42.81/6.69 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 42.81/6.69 inference('cnf', [status(esa)], [glb_absorbtion])).
% 42.81/6.69 thf(zip_derived_cl23494, plain,
% 42.81/6.69 (((greatest_lower_bound @ (inverse @ a) @ (inverse @ b)) = (inverse @ a))),
% 42.81/6.69 inference('sup+', [status(thm)], [zip_derived_cl23489, zip_derived_cl10])).
% 42.81/6.69 thf(prove_p39b, conjecture,
% 42.81/6.69 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) =
% 42.81/6.69 ( inverse @ a ))).
% 42.81/6.69 thf(zf_stmt_0, negated_conjecture,
% 42.81/6.69 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) !=
% 42.81/6.69 ( inverse @ a )),
% 42.81/6.69 inference('cnf.neg', [status(esa)], [prove_p39b])).
% 42.81/6.69 thf(zip_derived_cl16, plain,
% 42.81/6.69 (((greatest_lower_bound @ (inverse @ a) @ (inverse @ b)) != (inverse @ a))),
% 42.81/6.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.81/6.69 thf(zip_derived_cl23523, plain, ($false),
% 42.81/6.69 inference('simplify_reflect-', [status(thm)],
% 42.81/6.69 [zip_derived_cl23494, zip_derived_cl16])).
% 42.81/6.69
% 42.81/6.69 % SZS output end Refutation
% 42.81/6.69
% 42.81/6.69
% 42.81/6.69 % Terminating...
% 43.49/6.78 % Runner terminated.
% 43.49/6.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------