%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP172-1 : 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.YC2Q37FCKM true
% Computer : n013.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 0.58s 1.08s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP172-1 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YC2Q37FCKM true
% 0.14/0.34 % Computer : n013.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 14:10:23 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.08 % Solved by fo/fo6_bce.sh.
% 0.58/1.08 % BCE start: 18
% 0.58/1.08 % BCE eliminated: 0
% 0.58/1.08 % PE start: 18
% 0.58/1.08 logic: eq
% 0.58/1.08 % PE eliminated: 0
% 0.58/1.08 % done 198 iterations in 0.351s
% 0.58/1.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.08 % SZS output start Refutation
% 0.58/1.08 thf(b_type, type, b: $i).
% 0.58/1.08 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 0.58/1.08 thf(identity_type, type, identity: $i).
% 0.58/1.08 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/1.08 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 0.58/1.08 thf(inverse_type, type, inverse: $i > $i).
% 0.58/1.08 thf(a_type, type, a: $i).
% 0.58/1.08 thf(p04b_1, axiom, (( greatest_lower_bound @ identity @ a ) = ( identity ))).
% 0.58/1.08 thf(zip_derived_cl15, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [p04b_1])).
% 0.58/1.08 thf(associativity_of_glb, axiom,
% 0.58/1.08 (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 0.58/1.08 ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 0.58/1.08 thf(zip_derived_cl5, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.58/1.08 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.58/1.08 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.58/1.08 thf(symmetry_of_glb, axiom,
% 0.58/1.08 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 0.58/1.08 thf(zip_derived_cl3, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.58/1.08 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.58/1.08 thf(zip_derived_cl39, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 0.58/1.08 = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.58/1.08 thf(zip_derived_cl399, plain,
% 0.58/1.08 (![X0 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ identity)
% 0.58/1.08 = (greatest_lower_bound @ identity @ (greatest_lower_bound @ a @ X0)))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl39])).
% 0.58/1.08 thf(zip_derived_cl3, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.58/1.08 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.58/1.08 thf(p04b_2, axiom, (( greatest_lower_bound @ identity @ b ) = ( identity ))).
% 0.58/1.08 thf(zip_derived_cl16, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ b) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [p04b_2])).
% 0.58/1.08 thf(zip_derived_cl5, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.58/1.08 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.58/1.08 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.58/1.08 thf(zip_derived_cl47, plain,
% 0.58/1.08 (![X0 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ b @ X0))
% 0.58/1.08 = (greatest_lower_bound @ identity @ X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 0.58/1.08 thf(zip_derived_cl58, plain,
% 0.58/1.08 (![X0 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ X0 @ b))
% 0.58/1.08 = (greatest_lower_bound @ identity @ X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl47])).
% 0.58/1.08 thf(zip_derived_cl588, plain,
% 0.58/1.08 (((greatest_lower_bound @ b @ identity)
% 0.58/1.08 = (greatest_lower_bound @ identity @ a))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl399, zip_derived_cl58])).
% 0.58/1.08 thf(zip_derived_cl15, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [p04b_1])).
% 0.58/1.08 thf(zip_derived_cl611, plain,
% 0.58/1.08 (((greatest_lower_bound @ b @ identity) = (identity))),
% 0.58/1.08 inference('demod', [status(thm)], [zip_derived_cl588, zip_derived_cl15])).
% 0.58/1.08 thf(lub_absorbtion, axiom,
% 0.58/1.08 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 0.58/1.08 thf(zip_derived_cl9, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 0.58/1.08 inference('cnf', [status(esa)], [lub_absorbtion])).
% 0.58/1.08 thf(zip_derived_cl680, plain, (((least_upper_bound @ b @ identity) = (b))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl611, zip_derived_cl9])).
% 0.58/1.08 thf(symmetry_of_lub, axiom,
% 0.58/1.08 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 0.58/1.08 thf(zip_derived_cl4, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 0.58/1.08 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 0.58/1.08 thf(zip_derived_cl809, plain, (((least_upper_bound @ identity @ b) = (b))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl680, zip_derived_cl4])).
% 0.58/1.08 thf(monotony_lub1, axiom,
% 0.58/1.08 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 0.58/1.08 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.58/1.08 thf(zip_derived_cl11, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 0.58/1.08 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.58/1.08 inference('cnf', [status(esa)], [monotony_lub1])).
% 0.58/1.08 thf(glb_absorbtion, axiom,
% 0.58/1.08 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 0.58/1.08 thf(zip_derived_cl10, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 0.58/1.08 inference('cnf', [status(esa)], [glb_absorbtion])).
% 0.58/1.08 thf(zip_derived_cl121, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ (multiply @ X2 @ X1) @
% 0.58/1.08 (multiply @ X2 @ (least_upper_bound @ X1 @ X0)))
% 0.58/1.08 = (multiply @ X2 @ X1))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 0.58/1.08 thf(zip_derived_cl2103, plain,
% 0.58/1.08 (![X0 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ (multiply @ X0 @ identity) @
% 0.58/1.08 (multiply @ X0 @ b)) = (multiply @ X0 @ identity))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl809, zip_derived_cl121])).
% 0.58/1.08 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.58/1.08 thf(zip_derived_cl1, plain,
% 0.58/1.08 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.08 thf(zip_derived_cl1, plain,
% 0.58/1.08 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/1.08 thf(associativity, axiom,
% 0.58/1.08 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.58/1.08 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.58/1.08 thf(zip_derived_cl2, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/1.08 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/1.08 inference('cnf', [status(esa)], [associativity])).
% 0.58/1.08 thf(zip_derived_cl23, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((multiply @ identity @ X0)
% 0.58/1.08 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.58/1.08 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.58/1.08 thf(zip_derived_cl0, plain,
% 0.58/1.08 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/1.08 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.08 thf(zip_derived_cl25, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.08 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.58/1.08 thf(zip_derived_cl33, plain,
% 0.58/1.08 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 0.58/1.08 thf(zip_derived_cl25, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.08 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.58/1.08 thf(zip_derived_cl25, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/1.08 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.58/1.08 thf(zip_derived_cl30, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i]:
% 0.58/1.08 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl25])).
% 0.58/1.08 thf(zip_derived_cl317, plain,
% 0.58/1.08 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 0.58/1.08 thf(zip_derived_cl317, plain,
% 0.58/1.08 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 0.58/1.08 thf(zip_derived_cl2121, plain,
% 0.58/1.08 (![X0 : $i]: ((greatest_lower_bound @ X0 @ (multiply @ X0 @ b)) = (X0))),
% 0.58/1.08 inference('demod', [status(thm)],
% 0.58/1.08 [zip_derived_cl2103, zip_derived_cl317, zip_derived_cl317])).
% 0.58/1.08 thf(zip_derived_cl15, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [p04b_1])).
% 0.58/1.08 thf(zip_derived_cl5, plain,
% 0.58/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.58/1.08 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.58/1.08 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.58/1.08 thf(zip_derived_cl46, plain,
% 0.58/1.08 (![X0 : $i]:
% 0.58/1.08 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ a @ X0))
% 0.58/1.08 = (greatest_lower_bound @ identity @ X0))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 0.58/1.08 thf(zip_derived_cl2183, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ a)
% 0.58/1.08 = (greatest_lower_bound @ identity @ (multiply @ a @ b)))),
% 0.58/1.08 inference('s_sup+', [status(thm)], [zip_derived_cl2121, zip_derived_cl46])).
% 0.58/1.08 thf(zip_derived_cl15, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [p04b_1])).
% 0.58/1.08 thf(zip_derived_cl2195, plain,
% 0.58/1.08 (((identity) = (greatest_lower_bound @ identity @ (multiply @ a @ b)))),
% 0.58/1.08 inference('demod', [status(thm)], [zip_derived_cl2183, zip_derived_cl15])).
% 0.58/1.08 thf(prove_p04b, conjecture,
% 0.58/1.08 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) = ( identity ))).
% 0.58/1.08 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.08 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) != ( identity )),
% 0.58/1.08 inference('cnf.neg', [status(esa)], [prove_p04b])).
% 0.58/1.08 thf(zip_derived_cl17, plain,
% 0.58/1.08 (((greatest_lower_bound @ identity @ (multiply @ a @ b)) != (identity))),
% 0.58/1.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.08 thf(zip_derived_cl2196, plain, ($false),
% 0.58/1.08 inference('simplify_reflect-', [status(thm)],
% 0.58/1.08 [zip_derived_cl2195, zip_derived_cl17])).
% 0.58/1.08
% 0.58/1.08 % SZS output end Refutation
% 0.58/1.08
% 0.58/1.08
% 0.58/1.08 % Terminating...
% 0.58/1.15 % Runner terminated.
% 0.58/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------